diff --git "a/data/dm_maths/full_data_1/1634_11255.jsonl" "b/data/dm_maths/full_data_1/1634_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1634_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let l = 3 - 3.0375. Let w = l - 3.0725. Round w to one dp.\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/3)\/(((-8)\/14)\/((-2788)\/(-238)))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24*(5 - 416\/84))\/((-18)\/(-14))?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, d: 2, j: 4, i: 2, v: 6, t: 2}. What is prob of sequence vq?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -435255*d - 479804*d - 956918*d + 88137*d.\nAnswer: -1783840*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -2*x**3\/3 + 8*x**2\/3 + 142*x\/3 + 44 = 0.\nAnswer: -6, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 - 31*j - 83. Let f be p(-28). Let m(l) = -l**2. Let x(o) = o**3 - 5*o**2 - o. Let a = -242 - -237. What is a*m(v) + f*x(v)?\nAnswer: v**3 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - y)*(-1 - 1 + 0) - 2 + 3*y + 2 + 5*y - y - y + 3*y - 5*y + y)*(0 + 2 - 4).\nAnswer: -14*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4416 and 8118.\nAnswer: 5974848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20017631 - 10514631. What is i rounded to the nearest 100000?\nAnswer: 9500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 46\/(-8))\/((-111)\/296)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 3*d - 3 + 89, 4*u - 5*d = 82. Calculate the greatest common factor of 299 and u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 143165417 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01334014979 rounded to three dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kxkcc. What is prob of picking 1 x and 2 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3 + 13 = 0. Suppose -h*t + 120 = t. Suppose 0 = -4*k + 2*i + t, 3*k - 5*i - 17 = 15. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 20*r**2 + 5*r + 5. Calculate the least common multiple of 150 and z(-1).\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 + 2. Sort -4, -4\/3, d in increasing order.\nAnswer: -4, -4\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51\/26 or 2?\nAnswer: 51\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1665\/44 + -408\/11. What is the biggest value in 0.05, -0.2, 4, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3252980?\nAnswer: 2, 5, 162649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3531138 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 221493129?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 420082337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2473.4 + 2049. Let n = c - -462. Let k = 38 - n. Sort 0.09, 4, k in decreasing order.\nAnswer: 4, k, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.664682ns to microseconds.\nAnswer: 0.007664682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*w**3\/5 - 141*w**2\/5 - 42*w\/5.\nAnswer: 3*w*(w - 7)*(7*w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-56)*(-21)\/(189\/360).\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1076784 is divided by 269107?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 5*q**2 + 2. Let d be j(2). Calculate the highest common factor of 55 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k**5*q**2 + 1374*k**3*m**2 - 8*k*q - m**2*q**2 + 24*q**2 wrt k?\nAnswer: -20*k**3*q**2 + 8244*k*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (16\/(-6))\/(37\/((-40293)\/(-143))). Is z at least 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from eyyyeyeyyeeyy?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 6 + 4. What is the second derivative of -11*v + 14*v + 11*v**5 - d*v wrt v?\nAnswer: 220*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*r - 50*r + 98 = 0. Solve 0 = 6*y + y - r for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35 divided by -84346\nAnswer: 35\/84346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of 2*c**7\/105 - 74*c**6\/15 + 490*c**5 - 62426*c**4\/3 + 235298*c**3\/3 + 41*c**2 - 4*c. What is d in l(d) = 0?\nAnswer: 1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/4)\/((-4)\/8). Let z(v) = -v**3 - v**2 + 5*v + 2. Let m be z(a). Suppose -m = -p - 23. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 9:21 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 924.2 to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 104025715919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 10*y**3 + 14*y**2 - 166*y - 21. Let v(d) = -5*d**3 - 6*d**2 + 83*d + 9. Determine 3*f(z) + 7*v(z).\nAnswer: -5*z**3 + 83*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 4\/5, 0.12, 164, 1\/4, 0.3?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 4:20 PM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1651011*i + 95708 with respect to i.\nAnswer: -1651011","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -3*x**2 + 38*x - 4. Let n(o) = o**2 - 19*o + 2. What is 5*n(h) + 2*p(h)?\nAnswer: -h**2 - 19*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away 244568924?\nAnswer: -244568923.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -295 + 540. Suppose -q + 3*d - 41 + 116 = 0, 5*d = 3*q - x. Let i = q - 37. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4, -8, -14, -22, -32?\n\"Answer: -c**2 - c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 16*l**2 - 11*l. Let f(z) = 3*z**2 - 2*z. Let g(w) = 2*c(w) - 11*f(w). Let j(o) = -10*o**2. Determine j(g(q)).\nAnswer: -10*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40 + -26. Let n = g - 11. Suppose 2*r + 49 = n*r. Calculate the lowest common multiple of 6 and r.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*1*sqrt(153) - sqrt(153)) + sqrt(153) + sqrt(153) + sqrt(153))*-1)\/(6*sqrt(144)*-3).\nAnswer: -sqrt(17)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36 (base 7) to base 13.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x - 9. Suppose 2*l - 3 = 5. Let r be s(l). Let d = r + 6. Is 1 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2 - 3*q - 2. Let p(l) = -40*l - 21. Let n be p(-2). Let k(s) = -19*s - 22*s - 20*s + n*s. Calculate k(h(v)).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -274100 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.037 to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ezhsysyeyxys. Give prob of picking 1 y and 1 s.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 3450 + g - 3*g**2 + 3428 - 6882 as f*g**2 + r + j*g and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -1. Let i = 227476\/7 - 32551. Let q = 54 + i. Which is the third smallest value? (a) n (b) -2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3782 and 2852?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 4\/5, -1, 2\/121, 3, -0.4 in decreasing order.\nAnswer: 3, 4\/5, 2\/121, -0.4, -1, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 6*s**2 + 5*s - 1. Let l be a(6). Suppose -l = -5*q - 4. Find the second derivative of -6 + 12 - 4*c - 6 + q*c**3 wrt c.\nAnswer: 30*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n**5 + 60*n**4 - 5*n**3 - 1170*n**2 - 800*n + 1920 = 0 for n.\nAnswer: -3, -2, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b20 - -3?\nAnswer: -1b19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000027178 to 7 dps.\nAnswer: -0.0000272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/121 + 17\/(-33).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 307240 to the power of 1\/2, to the nearest integer?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -144 divided by 8239109?\nAnswer: -144\/8239109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f - 2*f**3 - 3*f + (1 - 1 - 6*f)*(-f**2 + f**2 - 3*f**2) + 16*f**2 + 25*f**3 - 10*f**2 - 8*f**2.\nAnswer: 41*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 3*m**2 + 35*m + 107. Determine i(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5*q = 8. Suppose 2*n - 3*n - 3*a + 64 = 0, 4*n - q*a - 208 = 0. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g*q**4 + 12*g*q**3 - g + 20*q**4 + 147*q wrt q?\nAnswer: -12*g*q**2 + 72*g*q + 240*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-3) + (-230)\/15. Let f be (-42)\/y - (-6)\/(-3). Which is greater: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -135516653*h**2*q**2*u**3 + 1959790*h**2*u + 8*h*u**3 + 2*q*u wrt q.\nAnswer: -271033306*h**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*t**5 - 1688*t**4 - 11616*t**3 + 1688*t**2 + 11620*t = 0. Calculate t.\nAnswer: -415, -7, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.51 * 0.7.\nAnswer: 2.457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 12. Let f(j) = 2 + 3*j + 10 - 5. Let g be f(6). Solve n*c - 3*v = 2*v - g, 0 = 2*v - 10 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.07 - -54.07. Let q = a + -51.99999986. What is q rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -16*d - 2. Let s(n) = -39913 - 6*n + 39920 + 55*n. Calculate -14*b(y) - 4*s(y).\nAnswer: 28*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3293 and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 1144?\nAnswer: -113c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 22124 = -p, 0 = -5*u - 4*p - 0*p + 22136. Does 56 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (71*r**4 - 586*r**4 - 1238*r**4)*(0 - 1 + r + 3).\nAnswer: -1753*r**5 - 3506*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1036 + 1995\/2. Let j = 39 + o. Find h, given that -j*h**2 + h - h**3 - 1\/4 + 3\/4*h**4 = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -41, -96, -175?\nAnswer: -278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2405, 2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 7 - 11*u - 174*u**2 + 176*u**2 - 5 + 7.\nAnswer: 2*u**2 - 11*u + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate p*q*w**2 + p*w - p - 30475*q*w**2 - 20*q - 429 wrt w.\nAnswer: 2*p*q*w + p - 60950*q*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xix when three letters picked without replacement from {i: 1, o: 6, x: 4}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0092719518 to 6 decimal places.\nAnswer: -0.009272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 7. Let u(b) = 14*b**2 + 3*b - 2. Let i be u(g). What is the greatest common factor of i and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.09 + -0.09. Let g = a + 28. Let m = g - 40. What is the third smallest value in -2, m, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c - 1631 + 816 + 815.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a micrometer in nanometers?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5501 divided by -2\nAnswer: -5501\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1169716 divided by -4?\nAnswer: 292429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 + 72 = -2*j - 2*j - 3*r - 8, -21*r = -6*j - 105 for j.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.17 in 95, 498, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-25*h + 5*h - 27*h)*(-1 + 2 + 0) + 0*h - 4*h + 0*h to the form i*h + z and give i.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-6)*(-3)\/1. Let g(u) = 6 - 14*u**2 + 11*u**2 - 8*u + 8*u**v + 28*u. What is the tens digit of g(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40*(-7)\/((-35)\/(-4)))\/2?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3 = 3*o - 8, -2*y + 5 = o. Suppose 3 = v, 3*n - 2*v - 9 = -0*n. Sort 0.1, y, n in increasing order.\nAnswer: 0.1, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42 - (-39 - -3)) + -17?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4035181 divided by -2?\nAnswer: 4035181\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -915 = -18*q + 183. Solve 3*u - q*z + 64*z - 9 = 0, u - 11 = -3*z for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -9*l**3 - 28*l**2 - 39*l - 169. Give b(-4).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -399014190 to the nearest 100000.\nAnswer: -399000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -18273*o**2\/2 - 3*o + 9. Let c be y(-11). Round c to the nearest ten thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2431823646?\nAnswer: 2, 3, 7, 8271509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 31496*d - 15737*d + 3 - 15747*d. Let w(h) = 2 + 2*h**2 - 2. Calculate w(i(k)).\nAnswer: 288*k**2 + 144*k + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 9:36 PM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23.4282 micrometers to kilometers.\nAnswer: 0.0000000234282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 4:38 AM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -92 - -374. Let b = w + -199. Let o = b - 59. Does 8 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**3 - 15*k**2 - 5*k + 1. Let n(t) = -3*t**3 - 22*t**2 - 8*t + 1. Let a(z) = -7*b(z) + 5*n(z). Let w be 4\/(-2) - 3\/1. Is a(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k + 59. Give g(0).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-1\/2))\/(u**4\/u)*(u**(-1\/3))**(1\/22))**9 assuming u is positive.\nAnswer: u**(-150\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 2 u, and 1 h when four letters picked without replacement from {c: 2, h: 2, u: 3, e: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 156 + -129. Let t = b - 12. Calculate the smallest common multiple of t and 35.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and -15600.\nAnswer: -109200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2718*x - 1373*x - 1387*x. Let g(i) = -20*i**2. Calculate z(g(p)).\nAnswer: 840*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 5\/2*(-66)\/(-110)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 316647 - 223380. Suppose 4*f = z + 17520, 0 = -5*z + 5*f - y + 5742. What is z rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 21*f + 13. Let b be p(-22). Suppose -2*x + 46 = -26. Let y = x + b. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*k - 4*p - 16 = 0, -3*p = -3. Suppose k = -l + 5. Let j = l + 51. Calculate the remainder when j is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.357 - 1.314. Round h to two decimal places.\nAnswer: 1.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.73 and -13?\nAnswer: 61.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -3\/7, 8\/13, 0.5, -0.981, -0.4, 5, 2\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.08 + -0.04. Let c = 0.07 - k. Let s = 0.09 - c. What is the nearest to -1 in 0.02, s, 0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -101 + 31. Let n = -47 - p. Let w = -13 + n. Solve w = -v + 6*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 301 and 73635006.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9420791 or -9420787?\nAnswer: -9420791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 2129936.8 to the nearest 10000.\nAnswer: 2130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.5 + -3. Let i = -3.529 - o. Round i to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*(-5)\/(-5)*(-1)\/(-2). Sort -6, f, -1, 1 in decreasing order.\nAnswer: 1, f, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1301446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a gram in milligrams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -169*w**5 + 8*w**4 - 3*w**3 + 83*w**5 - 120*w + 469*w - 8*w**4 wrt w?\nAnswer: -1720*w**3 - 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of -r**3\/6 - r**2 + 4*r. Let f be c(-3). Let n(k) = -5*k - 4 + 4. What is n(f)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -73? (a) -4 (b) -2\/11 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 13*o**2 + 12*o - 22. What is the least common multiple of (-1)\/(-1)*(10 - 2) and w(-14)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3872 and 242?\nAnswer: 3872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*u + 0 + 99*u + 0.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2015127 to the power of 1\/3, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10900823 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) -7\/50 (c) 3 (d) 2.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 200 and 126716400.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7180 is divided by 138.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 5*d + 8. Suppose 1 + 37 = t. Suppose -2*a = 5*v + 17 + 9, -t = 5*v - 4*a. What is c(v)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -403494.6716 rounded to the nearest ten thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of -y**8\/6720 + y**7\/280 - 7*y**6\/720 - y**5\/24 + y**4\/24 - 39*y**2. Let t(b) be the second derivative of d(b). Calculate t(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j - 245*j**3 + 244*j**3 - 7*j + j.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -134698 or -134697?\nAnswer: -134698","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 2*i - 15. Let p(l) = i - l**2 + 2 + 0*l**2 - l. Let m(f) = 2. Let u(y) = -7*m(y) + 2*p(y). Factor u(d).\nAnswer: -2*d*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 5*o**2 + 10*o - 13. List the prime factors of g(7).\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*y = -2*y - 30, 0 = 2*p + 2*y + 20. Let w be (0 + p)*((-14)\/10 + 1). Solve 9 - 1 = -w*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -722522 + 722254.0361. Let j = -267.7703 - 0.2297. Let a = m - j. What is a rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 134374054 or 134374055?\nAnswer: 134374054","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 162.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/20 (b) 157\/33 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20625749*o**2 - 8664309*o wrt o?\nAnswer: 41251498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 482 and 47493629?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z = 445 - 501 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q**3 - 3*q. Let v be z(2). Calculate the greatest common factor of 4 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/9 + (-1)\/(-3). Suppose 5*x - 111 + 36 = q. What is the remainder when (12\/(-9) + 6\/72)*-44 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6920 + -3226. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9564510 to the nearest integer?\nAnswer: 3093","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1688, -1895, -2092, -2273, -2432, -2563, -2660, -2717?\n\"Answer: t**3 - t**2 - 211*t - 1477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 758 - 890. Let z = -93 - r. Calculate the remainder when 1 + 229 + 1*2 is divided by z.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 249*m - 180*m + 1140 - 1065 + 4134 for m.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) -1 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 620754 and 7102752.\nAnswer: 1842","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o**3 + 4*o**2 + 22*o - 160. Is f(-19) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*10*(35\/20)\/7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 147\/7*(-10)\/(((-672)\/(-40))\/(-14)*-30).\nAnswer: -35\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence haa when three letters picked without replacement from hhhhhahahahhhhhhhaa.\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**3 - 4*r**2 - 17*r - 25. Let d be (-4 + -2)*(-5)\/(-2). Let f = -6 - d. Calculate the smallest common multiple of z(-2) and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -157 - 73. What is the remainder when t is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/10 and (2\/(-6))\/((-690)\/170 - -4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40 + 40. Let h(q) be the third derivative of 0*q + u - q**2 + 1\/8*q**4 + 0*q**3 - 1\/60*q**5. Find the second derivative of h(i) wrt i.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m**2 + 9*m - 18. Determine b(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1678 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 - 11*b + 75. Calculate u(0).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -12*12\/(-9) - 1. Suppose 0 = -h*n + 11*n + 8. Suppose -2*z - x + 27 = 4*x, -4*z = -2*x - 18. What is the remainder when z is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76825 divided by 1053?\nAnswer: -76825\/1053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 11:34 AM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 527 is divided by 176.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 10100101121112 (base 3) to base 11\nAnswer: 1005820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -10000101?\nAnswer: 10000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 - 97 = -4*k. Let x = -9 + k. What is the greatest common divisor of 33 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 13*c**2 + c - 12. Let g(f) = 27*f**2 + f - 20. Let h(s) = -3*g(s) + 5*y(s). Let q(m) = -3*m. Calculate q(h(i)).\nAnswer: 48*i**2 - 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of -v**4\/12 + 5*v**3\/6 - 3*v**2\/2 + v. Suppose 3*w + y - 8 = 0, -3*w + 546 - 550 = 4*y. Give u(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3868\/13 - 298. Let y = 56\/65 + j. Which is the nearest to -2\/3? (a) -39 (b) -1\/9 (c) y (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 s when two letters picked without replacement from {r: 1, s: 1, c: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 l when two letters picked without replacement from {o: 8, j: 7, l: 3}?\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -105 less than -104?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1140*y**2 - 1629*y + 24996702 wrt y?\nAnswer: -2280*y - 1629","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -6136, 3 in decreasing order.\nAnswer: 3, 1, -6136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -37830271 - -35.34.\nAnswer: -37830235.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 42 = 42. Let y(c) = -c + 9. Suppose 28 = -2*z + 6*z. Let o be y(z). Solve o*m - 1 = 3*g + 3*m, 3*g + 3*m - 3 = q for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 11*v = -10. Suppose v*t - 6*t - 4 = 0. Suppose 0 = 4*x + 4, z - 2*x + 3 = 4. Is t < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 943.\nAnswer: 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = 3*t - 7, -1348*u + 0*t = -1212*u + 2*t + 526 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 13 + -5 + -4.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**2 + 64*l + 49. What is the tens digit of c(-36)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -13*u + 6. Let h(p) = -p**2 - 14*p + 7. Let k(n) = 2*h(n) - 3*l(n). Let w be k(5). Calculate the lowest common multiple of 19 - (w + (0 - -1)) and 5.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 11*v. Let b(f) = -5*f. Let h(t) = -9*b(t) - 4*q(t). Let o(l) = -78*l - 7. Let s(g) = -3*h(g) - o(g). Is s(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 537, 306, -291, -1428, -3279, -6018?\n\"Answer: -29*d**3 - 9*d**2 - d + 576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -31*t - 16. Let x(d) = 94*d + 49. Let w(s) = -17*l(s) - 6*x(s). What is the units digit of w(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7663*b**4 - b**3 + 3999*b**2 wrt b?\nAnswer: -183912*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6390056 and 23537.226.\nAnswer: -6366518.774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.616? (a) 3\/5 (b) -0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from izwiigdii. What is prob of sequence giwd?\nAnswer: 5\/3024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at least -506\/125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299367 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirty-two fifths of a minute?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 11*k**2 - 12*k - 8. Let p be r(10). Let c be (-284)\/(-14) + p\/98. Suppose -5*n + c + 0 = 0. Solve 0 = 4*q + n + 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3789979.86 rounded to the nearest 100?\nAnswer: -3790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + v - 2)*(v + 2*v - 2*v) + 27*v**2 + 3*v + 5*v - 6*v - 1 + 1 + v**2.\nAnswer: 29*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 321 = -1112*h + 794*h - 3*z, h + 2*h - 7*z = -6*z - 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 3:04 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + h = -1. What is the biggest value in h, -2, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206995 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -508, -1039, -1572, -2107, -2644, -3183, -3724?\nAnswer: -4267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 10\/11, -0.272, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*h + 20 = -114*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 6 (c) -3\/28 (d) -31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 5 + 10 + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + z)*(-2*z**2 - 2*z**2 + 5*z**2)*(2*z + 1 - 1).\nAnswer: 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from lrergjvj?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -20 + (-8 - -18).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/11)*v)\/(v*v\/((v*v*v\/(v\/(v*v**(-12)*v)*v))\/v)))**(1\/9) assuming v is positive.\nAnswer: v**(-119\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 13*w - 92. Let d be o(7). Let g be -4 - ((5 - d) + -9). What is the closest to g in 1.5, -3, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9173781 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2032*2*(-3 - (-33)\/12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 2. Let v(u) = -6*u + p*u + 3*u. Let h(g) = -g - 5. Let q(b) = -2*b - 7. Let r(i) = -7*h(i) + 5*q(i). Determine v(r(j)).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-46) + 81948\/276. Calculate the greatest common factor of p and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from frrrarkrfrkarqakka. Give prob of sequence rfq.\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**4 - i**2 - i - 1. Let x(s) = s**4 + 3*s**2 + 8*s + 3. Let v(h) = 3*d(h) + x(h). What is the second derivative of v(n) wrt n?\nAnswer: 48*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) 5 (c) 1\/17 (d) 2 (e) -21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -3\/4 (b) 4 (c) 53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 1, 8 in ascending order.\nAnswer: -5, 1, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkkk when four letters picked without replacement from {k: 10, u: 2}.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 9*r**2 - 204*r - 15839. Determine b(56).\nAnswer: 961","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 7*v - 46. Determine p(-11).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n**3 + 2*n**2 + 4. What is b(-3)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 6*s - 6. Let p be c(-2). Solve -j = -2*j + p*k + 1, -2 = j - 5*k for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-84688)\/68809)\/((-4)\/(-182))?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49620.\nAnswer: 2, 3, 5, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tr when two letters picked without replacement from nktrtmrkmttttrrktr?\nAnswer: 35\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*i**2 - 4*i**2 + 11*i**2 + i**3 + i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 y, and 1 e when three letters picked without replacement from euuytbq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -6*x - 21. List the prime factors of r(-6).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31306 - -31313. Let u(m) be the third derivative of 0*m + 35\/8*m**4 - 3*m**3 + 0 + h*m**2 - 9\/5*m**5. Determine o, given that u(o) = 0.\nAnswer: 2\/9, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 16, 12, -14, -74, -180, -344?\n\"Answer: -2*r**3 + r**2 + 7*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14710592 - -4060115177\/276. Let r = w + 560\/23. What is the common denominator of -39\/2 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + a = 3, -2*a = -3*t - 0*a - 1. Let u(p) = -3*p**3 + 4*p**2 - 3*p + 1. Let l be u(1). Let s = t - l. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 6*z - 42 = 0. Let b be 4\/z - 192\/(-14). Let m = b + 10. Does 18 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5010, -4860, -4712, -4566, -4422, -4280?\n\"Answer: -a**2 + 153*a - 5162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 1000111100001001001?\nAnswer: 1000111100001000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**2\/7 - 1087866*s\/7 - 8702800\/7 = 0.\nAnswer: -543925, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -63, -54, -29, 18, 93, 202, 351, 546?\n\"Answer: s**3 + 2*s**2 - 4*s - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 55\/4 of a litre?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 17, 2 in descending order.\nAnswer: 17, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d - 1. Let o be x(-5). Let a(p) = p**3 - 7*p**2 + 2*p - 18. Let w be a(8). Suppose o*h + 14 = w. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = h + 6, 9 = -2*h + 5*h. Let x be r + (-25125)\/2 - 6\/(-4). Is 9\/72 - x\/16 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*j - 9*j + 26*j - 4*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/607611 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 310 (base 9) to base 6\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, o: 7, l: 1}. Give prob of picking 1 c and 2 o.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - h + 0*h)*(-342*h**4 + 459*h**4 - 273*h**4) + (2*h - 2*h - 3*h**3)*(-3*h - h**2 + 3*h).\nAnswer: 159*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 20*c**2 - 1 + 9*c**2 + 2 - 2. Let u = 17 + -16. What is the units digit of d(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7931 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -7 + 3. Which is the closest to 1? (a) 3 (b) f (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 153*h**4 - 40921*h**3 - 9315668*h**2 wrt h.\nAnswer: 3672*h - 245526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 256151*d**3 - d**2*s**2 - d*s**2 + 2*d*s + 249917*d wrt d.\nAnswer: 1536906*d - 2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 + 44. Let y = -681450019 + 681450004.99999994. Let n = y + u. Round n to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 take away 0.6?\nAnswer: 60.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1405881*p - 1405895*p + 2811779*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 5:09 AM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-4)\/(f*f**(2\/25)) assuming f is positive.\nAnswer: f**(-127\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 25, -4*m = -2*d - 0*d - 14. Let u = m + -4. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1*(sqrt(78) + sqrt(78) + sqrt(78)*3) + sqrt(78)))\/((sqrt(6000)*4 + sqrt(6000))\/sqrt(10)).\nAnswer: 3*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 356529827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1 + 6*sqrt(1100) + 3 - (2 + sqrt(1100) + (4 + sqrt(1100))*4)).\nAnswer: -12 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, j: 2, f: 4}. What is prob of sequence hffj?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 0 - r**2 + 2*r**2 + 2 in the form f*r**2 + a + x*r and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64.8928 meters to micrometers.\nAnswer: 64892800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/5 at least as big as -0.3802?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11709 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.86704 + 3.609?\nAnswer: 19.47604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 s when two letters picked without replacement from csvqvsvqzs?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 18 = 3*h. Let s(v) = -v**3 - 8*v**2 + 9*v. Let i be s(h). Factor -1\/2*b**3 + 1\/4*b + 0 + i*b**4 + 0*b**2 + 1\/4*b**5.\nAnswer: b*(b - 1)**2*(b + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a46 (base 13) to base 2.\nAnswer: 11011010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x - 14. Let j be q(6). Let a = 8 + j. Suppose 0 = -5*b + 3*z - a*z - 5, 3*z - 15 = 0. Solve b*h - 20 = 7*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 117 in -0.2, -147, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - 0.081112836?\nAnswer: 0.318887164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -2 - 119\/187)\/(6\/(-3)). What is the closest to -2 in -66, -0.2, z, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 623*t**3 + 5*t**2 + t - 5. Let z be (-32)\/(-6) + (-5)\/15. Let l be p(z). What is l rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2327712174 to the power of 1\/3, to the nearest integer?\nAnswer: 1325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 29 - 31. Let p(q) = q**2 + 4*q - 271. Calculate the smallest common multiple of h and p(15).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**3 + x**3 - 3*x**3)*(1 - 3 + 3)*(44 - 14 - 18).\nAnswer: -24*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 505625 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 2*r**2 - 4*r. Let a be f(-3). Let k(b) = b + 2. Let p be k(3). Let w = p + -5. Sort 1, w, a.\nAnswer: w, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u = 9*u + 30. Suppose -j + 124 = 3*j + u*d, 0 = 3*j + 3*d - 96. Is 36 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 1. Let y(i) = -i. Let l(q) = x(q) + y(q). Let b(u) = -1 + 3 - u - 1. What is 4*b(n) - 3*l(n)?\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/1394382 and 97\/31746?\nAnswer: 18126966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -8 + 1 - -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 84 - 75. Suppose -4384 = c - g*c. What are the prime factors of c?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**3*s*s)\/s**(3\/8))**(1\/33))**(-1\/4) assuming s is positive.\nAnswer: s**(-37\/1056)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, o: 1, s: 4, z: 1, l: 3}. What is prob of picking 1 o and 1 e?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2403 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 782092.\nAnswer: 2, 23, 8501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 677088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(55)*-3 + sqrt(55)*-1*-6)\/(sqrt(80)*-1 - sqrt(5) - (sqrt(105)\/sqrt(3))\/sqrt(7)).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of 7*m**6\/30 + m**3\/2 - 5*m. What is the second derivative of f(q) wrt q?\nAnswer: 84*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r - 4*x = 148, -11086*r = -11090*r + 2*x - 94 for r.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39 and 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -2*f + 8 + 7, 3*f = -s + 31. Solve 5*c - f = 10 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 316 + -472. What is the hundreds digit of (c\/(-8))\/(1652\/(-416) + 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 - 4)*(-1)\/((-5)\/150). Let f(i) = i**2 - 3*i + 3. Let u be f(3). Suppose -u*h + a = 2*h. Solve 4*v = 3*r - 32, h - 31 = 5*v for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26272.737 hours in days?\nAnswer: 1094.697375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y - 4 = 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.8 + 2.8. Let l = -3.75 + -1.42. Let b = 0.17 + l. What is the second biggest value in 1\/4, b, o?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/(-5))\/((-5)\/(-50)). Find the third derivative of 8*d**2 - 2*d**6 - 9*d**2 - d**n wrt d.\nAnswer: -360*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -16*u + 150. Calculate the smallest common multiple of y(7) and 22.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10000120121 + 10?\nAnswer: -10000120111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 59 - 59.000029. Round i to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101110001110100 (base 2) to base 8.\nAnswer: -56164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 11:50 AM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -24, -5 in ascending order.\nAnswer: -24, -5, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10774665\/1252 - 8606. What is the common denominator of 131\/18 and y?\nAnswer: 11268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -26*w**2 + 19 + 12*w**2 + 18*w + 15*w**2 - 67. Determine n(-20).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 0*9\/63 - -542?\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 9*t**2 + 5*t. Let v(s) = s**2 - 1. Let c = -5 + 4. Let w(n) = c*k(n) - 3*v(n). What are the prime factors of w(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q**(-38)\/q)\/q*q))\/(q*q**26*q*q) assuming q is positive.\nAnswer: q**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 551 + -547. Suppose -p*b = -8*b + 76. Solve 7 = -4*q + b for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1*(3 + -2*sqrt(208)) + -3 + -1 + -4)**2.\nAnswer: -528*sqrt(13) + 2859","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -610*m**2 - 603*m**2 - 610*m**2 - 606*m**2 - 589*m**2 + 3029*m**2.\nAnswer: 11*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.0718, 0.2174 in decreasing order.\nAnswer: 0.2174, 0, -0.0718","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1122 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 3268792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -878*u = -5935 - 5479 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilometer in centimeters?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 3:42 PM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 355*z - 264. What is the units digit of m(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2*sqrt(448) + 2)**2*-5 + 4.\nAnswer: -8979 - 320*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + 1. Suppose -i - 5*n + 13 = i, -15 = -5*i + s*n. What is the first derivative of -15*k**i - 127*k**3 + 1 + 127*k**3 wrt k?\nAnswer: -60*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -10*z - 10 + 0*z**2 - 10\/3*z**3. What is the derivative of s(b) wrt b?\nAnswer: -20*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2279 + -0.49819. What is n rounded to 3 dps?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*v**2 + 0*v**2 - 2*v**2 to u + p*v + w*v**2 and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4117147659.\nAnswer: 3, 73, 6266587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i + i + 0*i - i + 1. Let q be m(-2). Solve k = -g - q, -3*g + 0 - 2 = -4*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 5*p**2 - 17*p - 66. Let x be n(-6). Solve -2*w = -k - 2*k + 14, -2*w + 4*k - 16 = x for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i + 2*f - 5, 5*i - 5*f + 15 = -f for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*sqrt(85)*1)\/(sqrt(180) + (sqrt(180) - (-4*(sqrt(180)*-2 - sqrt(180)) + sqrt(180)))) + 1.\nAnswer: -sqrt(17)\/11 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -0.13 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x - 5. Let h be i(-5). Suppose 5*s - 25 = 0, -m = -h*s - 422 - 260. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -2 - 7, -3*z - 2*p = -48. Suppose -106 + z = -y + t, t - 436 = -5*y. Calculate the highest common factor of 11 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -10*f**3 - 2*f**2 + 13*f + 3345. Let h(y) = -10*y**3 - 2*y**2 + 8*y + 3344. Let c(r) = -5*h(r) + 4*s(r). Find the first derivative of c(u) wrt u.\nAnswer: 30*u**2 + 4*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1*(sqrt(117) - (sqrt(117) + sqrt(117) + (1 + sqrt(117))*5 + sqrt(117))) + 0)**2.\nAnswer: 84*sqrt(13) + 5737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/148*-72*10\/(-90))\/(-14).\nAnswer: 2\/259","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-3\/8))\/d)**19 assuming d is positive.\nAnswer: d**(57\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.172 + -2.172. Which is the closest to 1\/4? (a) j (b) -0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -40860?\nAnswer: -40862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 3. Find the third derivative of 38*r**4 - 2*r - 529*r**3 + 16*r**2 + 529*r**j wrt r.\nAnswer: 912*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/30 and 79\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, e: 8, o: 2, h: 2}. What is prob of sequence ey?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -407, -810, -1187, -1538, -1863?\n\"Answer: 13*o**2 - 442*o + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 4*i, 2*i - 2*x - 8 + 2 = 0. Let n be i + 3\/(-1) - -6. Suppose s = -p + 6, -n*s - p + 8 = -28. What is the smallest common multiple of 7 and s?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 1, 12, 11.\nAnswer: 1, 11, 12, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2*c - 466 = -3*v, -c = 4*v - 907. Calculate the greatest common factor of v and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 36\/90*20 + (-130)\/16. Which is the closest to -1? (a) j (b) 11 (c) -5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-105)\/(-260)) + 19 + -27.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 399476413*h - 574835255.\nAnswer: 399476413","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - 16\/(-2) - 0. Let y = f - 6. Solve -y*h - 2*h - 25 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -50294\/11 + 4572. What is the second biggest value in 0.1, l, 0.0546?\nAnswer: 0.0546","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 583*s - 2. Let o be t(-11). Let d = -1254 - o. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -563, -3958, -7355, -10754?\n\"Answer: -b**2 - 3392*b + 2830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*q = 3154 - 12346, q + 2298 = t. What is the highest common factor of t and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*a - 6*a. Suppose -3*j + v = 18, 22 = -2*j - 90*v + 94*v. Sort -3, a, 1, j in descending order.\nAnswer: 1, a, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1060*i - 1443 - 1621 = -629*i + 2108 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1690\/40 + (-99)\/396.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away 181.5?\nAnswer: -181.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24668?\nAnswer: 2, 7, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of 5*u**3\/18 + 515*u**2\/2 + 159135*u\/2 - 1645. Factor r(g).\nAnswer: 5*(g + 309)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - d**2 - 3*d - 29. Let r be h(4). Let g(b) = 4*b + 13. Let t(n) = 2*n + 6. What is r*t(u) - 3*g(u)?\nAnswer: 2*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 370805, 370793, 370767, 370721, 370649, 370545, 370403, 370217?\nAnswer: 369981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o**5 + 1669935*o**4 + 108559970*o**3 + 2314934380*o**2 + 15359764200*o - 17784928480 = 0 for o.\nAnswer: -22, 1, 334052","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -44cb921 + -3?\nAnswer: -44cb924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4\/5, 11512, 3, -3, 2, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2\/2*(-1141695)\/(-81)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 16*j**2 + 179*j + 2848. Determine h(-16).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000001985935 rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**2 - 33112*m - 137050568 = 0?\nAnswer: -8278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1749, -3550, -5469, -7566, -9901?\nAnswer: -12534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -274 - -278. Which is the second biggest value? (a) 4\/11 (b) 3\/2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1198)\/120 + 2\/(-3). Let c = 45\/4 + l. Let k = 2 - 2. Which is greater: k or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -93*r - 2. Let i be p(-2). Suppose 0*t + 5*t = 25. Suppose -7*j + 450 = -2*j - t*a, -2*j - 2*a + i = 0. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6593 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - 26*s + 1. Let p be (-4)\/10 - 666\/(-90). Suppose 0 = f + p - 33. Let j be o(f). Is 1\/40 >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 15 = 4*g - l, l + 5 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h - 1. Let i be a(-3). Suppose -3*t = -i*t - 4. Suppose -2 = -p, -t*f - 3*p + 118 = -6*p. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 252224, 252233, 252254, 252293, 252356, 252449, 252578, 252749?\n\"Answer: c**3 + 2*c + 252221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2450390*j**2. Let g(p) = 200*p. What is o(g(q))?\nAnswer: -98015600000*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence in when two letters picked without replacement from pzinnznziizznnniz.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.1 (b) 0 (c) 15 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -499487*g + 13486154. Determine x(27).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 238898*z**5 + 501*z**2 - 173*z?\nAnswer: 14333880*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7719.6746 rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6792.\nAnswer: 2, 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*t - 300 = 27*t. Suppose 6*c - 156 = -t. Solve n + 22 = c for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 262*j**3 + 11*j**2 - 422. Let q(o) = -131*o**3 - 6*o**2 + 212. Let u(y) = 6*f(y) + 11*q(y). What is the first derivative of u(v) wrt v?\nAnswer: 393*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000069139382 rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4 = v. Let g(u) = 7*u + 2*u**2 - 7 - u**v - 13*u. Calculate g(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 20943?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -3*y**2 - 117*y - 95. Let m be s(-38). Solve 5*l = -4*i + 25, -3*i - 8*l + m = -4*l for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**3 - 30188 + 30188.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2 + 40*p**2 - 78*p**2 - 3*p**3 + 36*p**2 - p. Suppose -2*z = 3*k + 16, 5*k - 3*z = z + 10. List the prime factors of d(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o - 1 + 1)*(4 + 0 + 0 - 1 - 2 + 1 + (2 + 2 - 2)*(0 - 1 + 3) + 0 + 0 + 1 + 7 + 4 - 5)*(2 - 3 + 39) to q*o + c and give q.\nAnswer: -494","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 3*q**2 + 5*q - 10. Let m be -20*(-6)\/15 - (5 + -2). Suppose -m*n = 14 - 34. Calculate h(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1, 8, 25, 50, 83, 124?\n\"Answer: 4*x**2 - 3*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-55)\/(5500\/60))\/((-6)\/20)*(-1)\/73.\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let -3212*x**5 - 190048*x**4 - 2723516*x**3 + 2823720*x**2 + 6332400*x + 972000 = 0. What is x?\nAnswer: -30, -1, -135\/803, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -674*o + 14452?\nAnswer: -674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 843568 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -3*a + 62, -6*a + a + 4*b + 101 = 0. What is the remainder when 33 is divided by 8\/(-14) + 201\/a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1052 is divided by 44?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 0*p - p + 2*p + 0 + 3. Suppose -4 + 14 = 5*j. Suppose -m = -0 + 2, m = 2*w + j. Determine h(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -40 (b) 4\/9 (c) -9 (d) -2.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 10:51 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3*n - 9 = 0, -4*i - 28*n = -27*n - 22. Suppose -50 = i*j - 495. What is the remainder when j is divided by 80?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2772\/1232*(-2)\/(-9).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) -4 (c) 0.2 (d) 12 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3057?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-8)*(-9)\/(9\/2).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 56048*d + 504408. Give b(-9).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.3 + 0.7. Which is the smallest value? (a) d (b) -4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12967, 25969, 38973, 51979, 64987, 77997?\nAnswer: 91009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.26 + -0.14. What is the nearest to 1 in 1\/2, g, -0.1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.8 + -3.8. What is the third biggest value in 2\/15, f, -2\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - 3*v + 3. Suppose 3*a + 4 = 2*a. Let q be o(a). Let i = -1 + 0.8. What is the nearest to 0 in 2, i, q?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, s: 1, q: 2, a: 6, w: 3}. What is prob of picking 1 s, 1 a, and 1 v?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3*-79328647\nAnswer: 237985941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1)**20*(y\/y**1)**(3\/44) assuming y is positive.\nAnswer: y**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24132350 (base 6) to base 13.\nAnswer: 20746b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1202, -2410, -3616, -4820, -6022?\n\"Answer: p**2 - 1211*p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 2 + 4 - -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-77)\/(-161)*-2.\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.1, -58, -0.263, 1\/5, -0.1?\nAnswer: -0.263","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/(-25) - 35894127\/15. Let y = -1602942 - u. What is y rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -7*t + 1. Let f be w(-1). Factor 8*p**3 + 90*p**3 + 49*p - f + 15*p - 154*p**2.\nAnswer: 2*(p - 1)*(7*p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 4*f - f - 25, 0 = -4*k - 5*f + 10. Let i(u) = u**3 - 9 + 3 - 6*u + 0 + k*u**2. Is i(-5) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -4 - 12. What is the smallest common multiple of 4 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1232 and 1008.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 - 38. Let o be (((-36)\/b)\/(-6))\/((-2)\/1390). Suppose 5*s - 62 = -x, -5*s = -0*x + 4*x - o. Does 8 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 11 (b) -1\/2 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50\/11, -15, 0.4, -2.2.\nAnswer: -15, -2.2, 0.4, 50\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f - 14. Determine u(-22).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.124387 days?\nAnswer: 10747.0368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 9*p**2 + 10*p - 12. Let x be s(8). What is the highest common factor of 10 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4777877 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 22*r**2 - 22*r - 31. Give v(-21).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and -229920.\nAnswer: -229918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + d - 17 = 0, -5*d = j - 60 + 27. Suppose -j*h = 2*h - 630. Suppose 0 = -5*a - 47 + 362. What is the greatest common factor of h and a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-4) - 2*2. Let m = z - -12. Suppose -78*h - 7 = -71*h. Put -2, m, h in increasing order.\nAnswer: -2, h, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*y = 54*y + 70 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - g - 16 = -5*m, 5*m - 21 = g for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.744056mg to kilograms.\nAnswer: 0.000006744056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4 = 5*r. Calculate the common denominator of -15\/4 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30 - -26 - (-1 - 6)) + -3 + 6\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -881 - -883. What is the highest common factor of 9 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/2618 and 89\/1449250.\nAnswer: 10144750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 5090*y**3 + 6*y**2 - 2*y - 1. Suppose 42*j = 9*j + 66. Is q(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.1 - 0.9. Suppose 4 = 2*x + 3*y, -2*x = -0*y + 4*y - 4. Which is the smallest value? (a) 2\/7 (b) k (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1137, -1418, -1699, -1980, -2261?\nAnswer: -2542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 65.6 - -3.4. Let c = i + -69.00002. What is c rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 329.0417 days?\nAnswer: 28429202880000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g - 7. What are the prime factors of k(7)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -8659*z - 77865. Calculate t(-9).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*w**3 + 839*w - 452*w - 387*w - 61*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(((b*b\/(b**(-1\/2)\/b)*b)\/b)\/b))\/b)**(-36)\/(b**7*b**(2\/3)) assuming b is positive.\nAnswer: b**(139\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23.8 + -28.8. What is the biggest value in o, -2\/7, -1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 605338 and 605335 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/13 (b) -3438.54 (c) -3\/2 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 125 * 14693.1\nAnswer: 1836637.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 14*s**3 - 14*s**2 + 11*s - 3. Let o(z) = 5*z**3 - 5*z**2 + 4*z - 1. Suppose -a + 1 + 0 = 0. Let i be -1 - 1\/(a\/10). Determine i*o(y) + 4*v(y).\nAnswer: y**3 - y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**3\/7 - 2718*y**2 - 45258096*y\/7 - 45239072\/7 = 0?\nAnswer: -4756, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0016372 to 4 decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(2736) + 1)**2.\nAnswer: -96*sqrt(19) + 2752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.4, -355.7, -330, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 98.204 and -0.5477317.\nAnswer: 97.6562683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 30*y - 3. Let g = -5 + 7. Let b be v(g). Suppose 0 = l - 4*m - 37 + 4, 5*m + b = 2*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44214277049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 4*k + 2*k)*(20 - 20 + 20*k)*(-2 + 3 - 2).\nAnswer: -100*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1348*g*j**3*k**2*n**2 - 3*g*j**3*k**2*n - 2*g*j**2 - 4*g*j*k + g*k*n**2 - 3*j**3*k*n - 75*j*k wrt k.\nAnswer: -2696*g*j**3*n**2 - 6*g*j**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - 8*p - 10. Let b be h(-5). Solve -5 = n + 4*f + 2, 4*n + 5*f = b for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -2 + 14 + (130 - 132).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2973072, 3\/8, -2\/35 in descending order.\nAnswer: 2973072, 3\/8, -2\/35, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 479067 to the nearest integer?\nAnswer: 692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + k - 6*k. Factor 0*b**3 + 0 + 1\/2*b**2 + k*b - 1\/2*b**4.\nAnswer: -b**2*(b - 1)*(b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -8. Let y = 31.045 - 31.145. What is the biggest value in 0.1, y, m, 3\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = 5*g + 25, -9*m + 3*g + 15 = -7*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 31.2 - 783284\nAnswer: -783252.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of -2 + 6\/7*z**2 - 8\/21*z**3 - 2\/105*z**6 - 3*z - 2\/21*z**4 + 4\/35*z**5. What is h in j(h) = 0?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/549072 and 107\/16368.\nAnswer: 6039792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5273 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 412 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17763 - -17769. Which is the biggest value? (a) -2\/5 (b) 407 (c) p (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3381461.69 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/20 of a kilometer?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -491185, -982363, -1473537, -1964707, -2455873?\nAnswer: -2947035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 775624 is divided by 258459.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3.9? (a) -8\/461 (b) 78\/11 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3282709837?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -73 - -48. Let h = -24.9999981 - z. What is h rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*u)*(-4 + 3 + 2) - 2*u + 3*u - 3*u - 1 + 3*u + 1 + 301266 - 301264 - 67*u - 44*u.\nAnswer: -112*u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 + 3)*(-5*n + 0*n + 4*n)*(-4 - 1 - 1) to x*n + j and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27191 or 27056?\nAnswer: 27056","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 718 and 110772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0084 and -2.\nAnswer: -0.0168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 206617104?\nAnswer: 206617104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + (-3 - (4 - 7)). Let p be c - (-801)\/6*(-3)\/27. Which is bigger: -15 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60874507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d\/(d**(-1\/29)*d))\/d)\/((d**(2\/19)*d)\/d*d)*d**(3\/7)*d*d**13 assuming d is positive.\nAnswer: d**(51521\/3857)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34 and 876741.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 657969 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(-3\/7)*v)\/v*v*v**20)**19)**(-4\/19) assuming v is positive.\nAnswer: v**(-604\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -5*k**5 + 94330*k**4 - 448935025*k**3 + 37897570940*k**2 + 77142324300*k + 38795724000 = 0.\nAnswer: -1, 88, 9390","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeq when three letters picked without replacement from eqqqeq.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 7:12 PM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by -558.\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -151*v**2 + 3*v - 165. Let n(d) = -104*d + 3*d**2 + 54*d + 1 + 49*d. Let b(o) = -3*n(o) - u(o). What is the first derivative of b(k) wrt k?\nAnswer: 284*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -557.104615 rounded to the nearest ten?\nAnswer: -560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 4:24 AM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 6824*b. Let s(x) = 5*x. Give o(s(q)).\nAnswer: 34120*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1529880290?\nAnswer: 2, 5, 152988029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -52, -6, 40, 86?\n\"Answer: 46*x - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -j + 3*n, 0 = 3*j + j + n - 273. Suppose -2*l - j = -5*k + 2*k, -3*k - 5*l = -82. Calculate the remainder when k is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 60*i**2 - i - 1. Let h be a(1). Let k(l) = -l**2 + 9*l - 8. Let j be k(8). What are the prime factors of (j - h)\/((33\/6)\/(-11))?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by -2211986.\nAnswer: 9\/2211986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 5*q + 20, -2*m - 20 = -2*q + q. Let l(c) be the third derivative of -5*c**4\/8 - 28*c**3\/3 + 2*c**2 - 5*c. Is 4 a factor of l(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35204030 by -5690.\nAnswer: -6187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25962 - -25980. Calculate the lowest common multiple of y and 9518.\nAnswer: 85662","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 + -20. What is the third derivative of n*w**4 - 4*w**4 - 2*w**2 - 4*w**4 + 2*w**4 wrt w?\nAnswer: -96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 7. Let o be 1\/(-2)*(-142 + r). Let k = o - 38. What is the remainder when k is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 490 and 0 - -1 - ((-4)\/2 + (-348)\/4)?\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 1860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 a when two letters picked without replacement from {b: 1, a: 1, s: 2, h: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*88\/16 + 2921. Calculate the highest common divisor of 45 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5.91 and -7200481.\nAnswer: -7200475.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1067620 rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 101084 times 3\nAnswer: 303252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4324024 + -32?\nAnswer: 4323552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**2\/9 - 98*l\/3 - 540 = 0. What is l?\nAnswer: -15, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -2\/9*g**3 + 1\/90*g**5 + g**2 + 0*g + 1\/36*g**4 + 0. Factor v(y).\nAnswer: 2*(y - 1)*(y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**2 + 2. Let k(u) = -u**3 - 5*u**2 - u + 7. Let q(o) = 14*f(o) - 4*k(o). Factor q(c).\nAnswer: 4*c*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 5*i - 6*i)*(0*i**2 - 3*i**2 + 2*i**2)*(98*i - 193*i + 74*i).\nAnswer: -21*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 6*d + 10. Let v be p(5). Let s = v - 5. Is 5*(s + -2)*-8 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -5.4.\nAnswer: -0.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**2 + h**3 - 14*h**3 - 1771*h + 1769*h - 3 + 2 to the form d*h**3 + w*h**2 + q + t*h and give d.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - 5*j + 184. Let o be u(0). Suppose -6*t - 70 + o = 0. Does 3 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 21*u**2 + 38316*u - 54780 = 0.\nAnswer: -1826, 10\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18\/(-72) - (-233)\/4. Suppose -30*a + 32*a = f. Solve 0 = -3*l + 5*k + 1 - 6, -5*l = 2*k + a for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from mmamummaamauuupmmmm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 637234?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1869.8 - 1870. What is the fourth biggest value in 2, -3, q, 134?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*m - 112 = -30*m + 72*m for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 + 31 = -14*u. Let k(v) = -3*v + 30. Let s be k(u). Is -0.2 at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mnnm when four letters picked without replacement from mmnsmnh?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46\/19 + -1112\/475. Which is bigger: l or -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**3 - 18 + 2*i**3 + 240 - 86.\nAnswer: 2*i**3 + 136","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 16536 times -8?\nAnswer: -132288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/2))**(2\/49) assuming u is positive.\nAnswer: u**(1\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 644 and 273784.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10304667?\nAnswer: 3, 23, 67, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -10, 3, -2, -1, -0.4 in ascending order.\nAnswer: -10, -2, -1, -0.4, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(-5)*o)\/o)\/o**(1\/4))\/((o\/((o*o*o**(1\/2)*o*o)\/o))\/(o*o*o**(-4)\/o)) assuming o is positive.\nAnswer: o**(21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -257, -2541, -8883, -21311, -41853, -72537, -115391, -172443?\nAnswer: -245721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -470360*n**2. Let o(w) = 30*w**2. Calculate o(q(f)).\nAnswer: 6637155888000*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 31067*f - 279542. Calculate x(9).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-2 - -2) + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11856 and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(6171) + sqrt(6171) - sqrt(6171) - sqrt(51))\/(sqrt(300)*1 - sqrt(300) - sqrt(300)).\nAnswer: 17*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 18548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 788653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.2758 * 1\nAnswer: -0.2758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4 + 1101*n**3 - 420147*n**2 + 60984495*n - 2075690448.\nAnswer: -(n - 351)**3*(n - 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -15*a. Let t(g) = 7*g. Let y(c) = 5*t(c) + 2*z(c). Let j(r) = 2*r. Give y(j(q)).\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 14*f**3 + 24*f**2 - 91*f - 62. What is the hundreds digit of z(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5919 + 5927 - 4*b**2 - 11846.\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -2884723.447 to the nearest 100.\nAnswer: -2884700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 6 = 2*h + 2*u, 4*h - u = 12. Suppose -4*y = 5*c + h, 2*c - y - 7 = -3*c. Let o(q) = -2*q + 2 - c + 0*q. What is o(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**2 + 44*p + 20. Calculate the remainder when 35 is divided by l(-22).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14 - 36160?\nAnswer: -36143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 327235.\nAnswer: 5, 65447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17 * 1.39209.\nAnswer: -23.66553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-6)*2\/((-8)\/(-6))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 6*w**2 + 5*w + 3. Let j be n(5). Suppose 2*q = -5*h - 3*q, h = j*q. Sort -5, -1, h in descending order.\nAnswer: h, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172 = 20*a + 12. Solve -5*p + 9 = -a*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t**2 - 9*t - 10. Let f(v) = -2*v**2 + 8*v + 9. Let n(b) = 4*f(b) + 3*x(b). Let k be n(-3). Which is bigger: 3\/11 or k?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 1\/8, 14 in increasing order.\nAnswer: 1\/8, 0.5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41710*i - 400 = -41694*i for i.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 281119.5 litres in millilitres?\nAnswer: 281119500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -79903 - -79903.5. Let q = -17\/3 - -6. Let z = -0.4 + -1.6. Which is the second smallest value? (a) q (b) r (c) z (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 9*d = 132. Suppose d = 5*l - 3*s, 3*l + s - 12 = 3. What is the first derivative of -9*i**4 - 12 + 6 - 12*i**l - 13 wrt i?\nAnswer: -84*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 - (-4 - 25))\/3. Suppose 48177 + 62692 = r*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42537473?\nAnswer: 11, 223, 17341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -119826 - 0?\nAnswer: -119826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -13*m**3\/2 + 173*m. Let a(g) = 4*g**2. Determine u(a(k)).\nAnswer: -156*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 316e - -45b?\nAnswer: 35ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15872522251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -6*f + 2*s + 17, 5 = -s for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.68 + -26.32. Let p = -24683 + 24656.047. Let r = p - y. Round r to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, -4, 5772 in decreasing order.\nAnswer: 5772, 0.6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -18*f**2 + 7*f + 11. Let z be q(-4). Let g = z + 440. List the prime factors of g.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 472932 and 9?\nAnswer: 472932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16085 - 16038. What is the remainder when 13863 is divided by b?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -h**4\/2 - 5711*h**3 - 68476*h**2 - 182560*h = 0?\nAnswer: -11410, -8, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-15)*-10 - 4\/3. What is the closest to -91 in g, -3, -2, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -103*g**2 - 110*g + 22. Let d(k) = 8*k**2. Give u(d(l)).\nAnswer: -6592*l**4 - 880*l**2 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 10030244?\nAnswer: 10030243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000229 rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -130036, 5, -3, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3.501143 nanograms?\nAnswer: 0.000000000003501143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 11 = 4*t + 1, 32*t = 94*t - 3*d - 127 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 7*p**2 - 2*p + 6. Let b be s(6). Suppose -3*t + t + b = 0. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 2*z - 37 - 9, 2*z = 5*k + 43. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1013423 to the power of 1\/3, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 269 + -271. Which is bigger: v or -54?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 8*w + 12. Let j be y(9). Suppose j - 5 = -d. Suppose 2*b + b + 31 = 4*z, -5*z + 2*b = -30. Solve 6*t - z*t = d for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1170 divided by -2\nAnswer: -585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 134591, 133877, 133139, 132365, 131543?\n\"Answer: -2*w**3 - 700*w + 135293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 21*l**2 - 22*l - 7. Let v(f) = -11*f**2 + 11*f + 4. Let i(y) = -4*r(y) - 7*v(y). What is the second derivative of i(b) wrt b?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 10, j: 4}. What is prob of sequence jq?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5441295755.\nAnswer: 5, 7, 2551, 60943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57668836*o**2 + 1690242144*o + 12385018944 = 0.\nAnswer: -55644\/3797","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*q = -37*q. Suppose q = -59*o + 26*o + 3498. Sort 3, 0, o in increasing order.\nAnswer: 0, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -4*x**2. Let a(q) be the second derivative of -q**3\/6 + q**2\/2 + 1456*q + 1. What is d(a(l))?\nAnswer: -4*l**2 + 8*l - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.31 + 42.69. Let p = -57 + v. Let j = p + 8. Put 3, j, -0.5 in decreasing order.\nAnswer: 3, -0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 143727 = -2*l, -5*f + 0*l + 2*l = -143723. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 30 - -9987?\nAnswer: 99b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -2. Suppose -d + 3*d = q. Is d smaller than 3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.56 - -140286425982.\nAnswer: 140286425971.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + 1)*(85\/5 + -4). Calculate the greatest common divisor of 442 and s.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -s**3\/6 + s**2 - 3*s. Let a be o(0). Let y = -8 + 15. Solve a*c = y*c - 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12 - 6*522\/(-108). Solve 91 = 22*q - x for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(48) + (sqrt(480)*5)\/sqrt(10).\nAnswer: 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10 + 100)*-8*(-6)\/15. Let i be (-30)\/(j\/(-126) - (-4)\/14). Solve -3*k - i = -3*f, 0*f - 5*k = -3*f + 21 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*b - 114*b + 445443 = -343505. Does 123 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/8)\/((-554)\/(-831))\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 3:04 AM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 13 - 5, -i + 4*d = -1331. Let n = i + -298. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2036 - 2508 = 365*a + 566 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qgfk when four letters picked without replacement from qfkgggkgqpgfqfg.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*p - 2*p**2 - 14084 + 14084)*(0 + 2 + 0)*(2*p - 1 + 1).\nAnswer: -8*p**3 - 48*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3864512?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - -2)\/((-2)\/2). Suppose -4*p - p = f. Which is greater: p or 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 - -16. Let h be ((-8)\/20)\/(18\/j). Suppose -5*z + 4*y = -0*y - 5, y + 2 = 2*z. Which is smaller: h or z?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of p**6\/3 - 4*p**5\/5 + 4*p**3\/3 - p**2 - 71. Factor a(u).\nAnswer: 2*u*(u - 1)**3*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 29*b - 3*b + 11 to the form y + c*b and give c.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*k - 8010 = 19*k. What are the prime factors of k?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2215, -3852, -6581, -10402?\nAnswer: -15315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**2. Let j(a) = 5*a**2. Suppose 5*s - 9*s + 16 = 0. Suppose -s*v + 7 = -3*v. Determine v*n(x) + 3*j(x).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*l + 3*l**2 + 0*l**2 + 101*l.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (4 - (-5 + -10 + 9)) + -15 + -1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.25, 2\/5, 3\/8, 0 in ascending order.\nAnswer: 0, 0.25, 3\/8, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -1470*x**3 + 144*x**2 + 16*x + 14143. Let o(n) = -980*n**3 + 90*n**2 + 10*n + 9429. Let f(d) = -5*c(d) + 8*o(d). Differentiate f(l) wrt l.\nAnswer: -1470*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 11*o - 98. What is y(7)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1311767, 1311983, 1312199, 1312415, 1312631, 1312847?\nAnswer: 1313063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**5\/17 - 18884*p**4\/17 + 59402736*p**3\/17 - 62154747868*p**2\/17 - 312261169490*p\/17 = 0 for p.\nAnswer: -5, 0, 3149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 45113849 and -4?\nAnswer: 45113853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127828?\nAnswer: 2, 31957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -55*u + 185*u**3 - 7*u**4 - 10*u**3 - 86*u**2 - 8*u**4 - 19*u**2 = 0. What is u?\nAnswer: -1\/3, 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - t - 3*t)*(-5*t**3 + 4*t**3 + 3*t**3) - 18*t**4 + 22*t**4 - 17*t**4 + 72*t**4 + 166*t**4 + 69*t**4.\nAnswer: 292*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 4:15 PM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 241400 (base 5) to base 10.\nAnswer: 8975","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66, 168, 244, 294, 318?\nAnswer: 316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -173*s**2*x**3 + s**2*x**2 + 98*s*x wrt x?\nAnswer: -1038*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159 = -5*x - 48*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 11423, 45722, 102879, 182888, 285743, 411438, 559967?\n\"Answer: -m**3 + 11435*m**2 + m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uwwp when four letters picked without replacement from {w: 2, u: 3, p: 10}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*p - 58*p = -111*p + 190 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68, 99, 146, 215, 312?\nAnswer: 443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 301 (base 4) to base 7\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 19178.\nAnswer: 1917.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -261 - -263. Suppose -1 = -3*z + 5, -o*l = -5*z - 1288. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, e: 2, t: 1}. Give prob of sequence de.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**2 + 10*s + 15. Suppose 0 = -4*r + 2*r - 4. What is the remainder when (r - -40)*(-6)\/(-4) is divided by a(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56337 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 574496920 divided by -31160.\nAnswer: -18437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**3 - 3*p**2. Let c be l(2). Suppose 0 = c*w - 67 - 97. Is 30 a factor of 3\/2*(w + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -p + 9, 5*m = p + 1 - 30. Let x be ((-6)\/(-4))\/(-3)*-4. Solve -6*w - 20 = -x*w, -p*z = -w - 25 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-21) + (-2685)\/(-1575))*((-3080)\/(-21))\/8\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 z when three letters picked without replacement from {u: 2, z: 7, p: 5}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1451380 divided by -14810?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 0, 27, 102, 249, 492, 855, 1362, 2037?\n\"Answer: 4*a**3 - a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -3*r + o, -r + 5 = 3*o - 3. Let b = 184 + 36. What is the greatest common factor of r and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 5*w + 12. Let u be (10 - 9 - 1\/2)*w. Solve 0 = -x + u*x + 25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6733 = -247*d + 924 for d.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + 5 + sqrt(468))**2*-2*-2.\nAnswer: 1440*sqrt(13) + 10080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*s + 18*s - 33*s + (401*s + 167*s - 128*s)*(-3 + 2 - 1))*(2 - 2 - s**3).\nAnswer: 879*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of -703*r**4\/24 + 2309*r**3\/2 + 9*r**2 + 3*r - 5. Differentiate p(t) wrt t.\nAnswer: -703","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 17*r**2 - 12*r + 12. Let t be d(6). Factor 4*k**2 - 27 + 4041 + 906 - t*k + 14124.\nAnswer: 4*(k - 69)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 532390597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -4*o, 4*o + 3*t - 2 + 0 = 0. Suppose -r - 9 = -2*z, -r + 3*z = o + 4. Let u = 11 + r. Let j(p) = -p + 2. Give j(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 363 and 264.\nAnswer: 2904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 + 0. Let o = -26.426 + 25.726. Which is the closest to o? (a) -0.2 (b) f (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -136*n**2 + 56*n**3 + 160*n + 4\/5*n**5 + 85 - 11*n**4. Determine d, given that b(d) = 0.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f. Let k be (-144)\/36 - ((-148)\/(-2) - -2). Let h be ((-80)\/k)\/(0 - (-1)\/3). Let g(d) = 5*d. What is h*g(v) - 6*c(v)?\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of 39*f**8\/56 - 8*f**4\/3 - f**2 - 79*f. Find the third derivative of j(y) wrt y.\nAnswer: 4680*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -64*n - 263. Let m be l(-6). Calculate the greatest common factor of m and 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f + 1. Let l(u) = u + 3. Let a(x) = 3*i(x) - l(x). Let v(k) = 13*k. Determine a(v(g)).\nAnswer: 26*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35\/(-63))\/((-2)\/(-9))*(-6)\/(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.5, -19, 4 in decreasing order.\nAnswer: 4, 1, 0.5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 41 = 153. Let p be 7\/2*12\/l. Let m = 1737\/2 + -19103\/22. Which is the fourth smallest value? (a) m (b) -3 (c) p (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m + 388 = 1631. What is the remainder when m is divided by 51?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 11 = 5*t - 2, -4*s + t + 5 = 0. Let l(g) = g + 10. Let p be l(-8). What is the second derivative of -3*z + 5*z**s + 3*z**4 + 5*z - 5*z**p wrt z?\nAnswer: 36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(9\/8)*z**(-6\/5)*z**18*z*z\/z**39 assuming z is positive.\nAnswer: z**(-763\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (978\/163*(-2)\/9)\/(20*3\/135)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 0*w - 39*i - 50 + 3 = -44*i, -16 = -4*i for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45879389 is divided by 200?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -80*l**4 + 57819*l**2 - l - 57819*l**2 + (-l**2 - l**2 + 0*l**2)*(l + l**2 - l).\nAnswer: -82*l**4 - l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = p - 3*p + 798, -2*b = 2*p - 402. Suppose -b = -16*s + 14*s. Let j = s - 54. List the prime factors of j.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.5204007 and -94.88?\nAnswer: 96.4004007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5090248 centimeters in meters?\nAnswer: 0.005090248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (360\/270)\/(4\/(-132)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((513\/76)\/27)\/(1\/28)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60309 is divided by 2148?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -12 and 36201603.\nAnswer: 36201591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10222 - -17061. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17 and 1378?\nAnswer: 23426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1385 is divided by 329?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven sixths of a hour?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -20*q**4\/7 + 144*q**3\/7 - 228*q**2\/7 + 40*q\/7 = 0.\nAnswer: 0, 1\/5, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43.41 - -43.81. Which is the nearest to -2\/7? (a) q (b) -2\/19 (c) 2\/7 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 2*c = 5*t, -5*c = -2*t. Solve 4*h - 2*h + 8 = t for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-10)\/(-6))\/((-1)\/(-15)). Suppose 2 = 3*y - f. What is the remainder when (15\/(-9))\/((-7)\/105) is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1743, -1494, -1243, -990, -735, -478, -219?\n\"Answer: r**2 + 246*r - 1990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -62 + 62.53. Let j = -23.5423 + 23.012361. Let n = i + j. What is n rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15325400 (base 7) to base 16.\nAnswer: 1669fa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1135*o**3 + 593*o**2 + o + 477*o**2 + 75*o**2 - 11*o.\nAnswer: -5*o*(o - 1)*(227*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*b**3*u**3 + 2*b**3*u**2 + 20*b**2*u**5 + 2*u**3 - 25*u**2 wrt u.\nAnswer: 60*b**3 + 1200*b**2*u**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k + 7 - 7)*(3 - 1 + 1).\nAnswer: -15*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -931 times 588?\nAnswer: -547428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 111078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*c**4*f - 21*c**4 - 1455*c**2*f wrt c.\nAnswer: 384*c*f - 504*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + (-7)\/3*-3. Suppose -a*x + 5*x = 0. Suppose -5*t = -5*v + 25, 4*v + 6*t - 2*t - 20 = x. Calculate the remainder when v is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 + -1. Let d = q + -21.0000032. What is d rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o - 3*o**3 + 116*o**2 - 3*o.\nAnswer: -3*o**3 + 116*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.12 in 3, -3\/2, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2605 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggigggi. What is prob of sequence gg?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 20, 60, 142, 278, 480, 760, 1130?\n\"Answer: 2*z**3 + 9*z**2 - z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38340379 and 253.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**5\/2 + 3*k**4 - 11*k**2 + 15*k\/2.\nAnswer: k*(k - 1)**2*(k + 3)*(k + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 11152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 72*j - 3154. Calculate o(30).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, -3, -67, 0.13, 5 in decreasing order.\nAnswer: 5, 0.13, 1\/8, -3, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*(3*p + 0*p - p) + 92 - 92 - 25*p.\nAnswer: -23*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*p + 34 = -39 - 5 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of 0 + 295\/6*s**3 + 0*s - 1\/24*s**4 - 3*s**2. Is l(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0020088 rounded to 5 decimal places?\nAnswer: -0.00201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a3a26 + 1?\nAnswer: -1a3a25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1083 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of t**5\/4 + 5*t**4\/12 - 5*t**3\/6 + 6*t**2 - t. Suppose -36 = 2*l + 4*r - 70, 2*r + 3 = 3*l. Is h(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/((-3)\/(-2) - 4). Find the second derivative of 6*t**2 - 7*t**m + 13*t - 5*t wrt t.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -99726 - -147990. Suppose -25*z + r = -13*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 15\/2347, 218, 2.3?\nAnswer: 218","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -1001120112110?\nAnswer: -1001120112111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-21))\/(48\/(-160)*-20). Do -14.8 and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 504 is divided by 164.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 1:36 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 2*b - 2. Let t(x) = -4*x**2 + 7*x - 7. Let y(k) = 7*h(k) - 2*t(k). Let w(m) = m**2 + 2*m**2 - 7*m**2. Calculate w(y(n)).\nAnswer: -4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 85 + -84.8. What is the third smallest value in -0.3, u, 2\/5, 5\/4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -368 at most as big as 0.44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 2 j, and 1 n when four letters picked without replacement from czjbjnbdbcbcb?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 16. Let y = a - 13. What is the nearest to -1\/2 in -1, 0.3, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/7)\/(a\/a**(-8))*(a**(2\/13))**(-1\/11))**(-47) assuming a is positive.\nAnswer: a**(430802\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31674280.3 + -31674286.30000003. Let t = i - -6. What is t rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5160660, 10321320, 15481978, 20642634, 25803288?\n\"Answer: -h**2 + 5160663*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 286757 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of 1\/24*v**4 + 7\/30*v**5 + 0*v**3 - v**2 + 0*v + 0. What are the prime factors of r(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -166939 greater than -166945?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence usus when four letters picked without replacement from ssusuususu.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 263302000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12239860 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42093\/26 or 1619?\nAnswer: 42093\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-34294 + 34294 + 69*u)*(3*u + 3 + 1 - 2*u) as z + g*u**2 + t*u and give g.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/(-8)*146\/365. Which is the fourth biggest value? (a) 0.3 (b) 7 (c) -7 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(36)*-4)\/sqrt(12).\nAnswer: -4*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 64341\/10 + -6415. Let l = z - 93\/5. Which is the closest to 0? (a) l (b) -8 (c) 6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - (-986)\/18)\/((-56)\/(-420)). Let h = t - 34957\/84. Find the common denominator of 16 and h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-10))\/(10\/(-25))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1415 + 1224 + 418 + 0*n + 3770 - n)*(3*n**2 - 3*n**2 + 4*n**2) to l*n**2 + y*n**3 + t*n + h and give l.\nAnswer: 27308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3*(2*sqrt(104)*2)\/(sqrt(72)*6) + 3 + -2.\nAnswer: 2*sqrt(13)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -712*g**3*h - 5*g**2 - 2*g - h wrt g.\nAnswer: -4272*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -16734460705789 and 0.5.\nAnswer: -16734460705788.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1338716?\nAnswer: 2, 17, 19687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of l**7\/252 + l**6\/20 + 23*l**5\/120 + 7*l**4\/72 - 2*l**3\/3 - 4*l**2\/3 + 20*l. Find p, given that j(p) = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 69*q**2 - 121*q + 1517. What is p(-67)?\nAnswer: 646","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4\/85657 - 391709449\/256971. Let q = 14\/5631191 + -514403667499\/337871460. Let z = q - f. What is the common denominator of z and 113\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(19) - sqrt(19)*1))*-6.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 8 + 2 = 4*m, -3*q = 2*m - 14. Let k be ((-24)\/5)\/(3\/(-10)). Suppose q*h - k = h + 2*l, -l = 4. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 4*f - 39. Let g be d(11). Suppose -2*o = -b - 28, -g*o + 2*o = -3*b - 48. Solve -j + 5*j - o = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23\/326 + -6499\/2608. What is the common denominator of (33\/(-1) + 2)\/(-8) and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36*b**5 + 1583*b**4 + b**2 + 197588*b wrt b.\nAnswer: 720*b**3 + 18996*b**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 24.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 1 - (0 - -1) - 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/8*-6 - -7. Let -4*u**2 - 4*u**2 - w*u**3 + 5*u**3 - 5*u**3 = 0. What is u?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 0 + 0)*(r**3 - 4*r + 4*r) + 0*r**2 + 0*r**2 - 212 - 7*r**4 + 403.\nAnswer: -9*r**4 + 191","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*h = 620005, 2*g - 1240010 = 23*h - 28*h. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) + (sqrt(170) - ((sqrt(170) + sqrt(170)*4)*6 + sqrt(170))))\/(4*sqrt(360)) + 5.\nAnswer: -29*sqrt(17)\/24 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = y - 7, -f + 1 = -2*f. Let h(u) = -y*u + 40 - 40. Let s(q) = q. Calculate h(s(t)).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*s = 67*s + 25 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 18729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + i - 3)*(3*i**2 + i**2 - 6*i**2) - 4 + 5*i**3 + 4 in the form d*i + b*i**3 + n*i**2 + l and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2048100 and 135.\nAnswer: 18432900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.5, -1\/3, 71, -3, -2\/11, 0.3, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2151645173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(8\/(-1300)*13)\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 3*g. Suppose 2*a - 5*r + 8 = g, 0 = 2*a - a + 4*r - 9. What is the units digit of a - 1\/(-2)*0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/1663, -1\/934, -15 in decreasing order.\nAnswer: -1\/934, -5\/1663, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22849?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4143 + 33243\/8. What is the common denominator of 53\/28 and d?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3631 + 13811. Suppose -5*p + 1905 = 5*b - h, 2*b = 5*p + 4806. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + (sqrt(3) - (sqrt(12)\/sqrt(4))**2))*3 - ((2*sqrt(15))\/sqrt(5) - sqrt(3)).\nAnswer: -9 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + -3. Let y = -26 - 4. What are the prime factors of (-79)\/l + 5\/y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12 and 785435.\nAnswer: 9425220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 7*r + 3*r - 5*r + 2. Let j(d) = 5*d. Let h(o) = o. Let w(p) = -6*h(p) + j(p). Suppose 0 = 15*m - 13*m + 12. What is m*w(c) - i(c)?\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (19 + -2 - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**2 - 10. Calculate the remainder when 285 is divided by u(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -66.7 = -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2*i = 2*n - 16, 4*i + 16 = -5*n. Suppose -4*w - k - 628 = -n*w, -3*w + 5*k = 448. Let s = -121 - w. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 81830*c*n**3 - c*n - 2158*n**3 - 6*n**2 wrt c?\nAnswer: 81830*n**3 - n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1100 and 1479940.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2609.\nAnswer: 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -110, 0.03, 1\/2, 2, -3?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2060 + 2061. Let v = 34 - 103\/3. What is the second smallest value in 4, v, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 6*v - 6. Let a be m(-4). Suppose -3*g = -3*f - 6, -a - 1 = 3*f. Put 2, 1\/4, 5, g in decreasing order.\nAnswer: 5, 2, g, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3493, -6988, -10483?\n\"Answer: -3495*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 5*q + 3. Let f be r(4). Suppose f*j - 6510 = 26*j. Round j to the nearest 100.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1640479 to the power of 1\/2, to the nearest integer?\nAnswer: 1281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 + 15. Let z = r + 12. Suppose 4 - 2 = -2*s - 3*b, 2*s - b - 14 = z. Calculate the smallest common multiple of s and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by 74.\nAnswer: -11\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.289634335 to 5 decimal places.\nAnswer: -0.28963","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 times 0.1?\nAnswer: 29.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 66.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 685888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 89*v**4 + 232*v**3 + 16*v + 4860250 wrt v.\nAnswer: 356*v**3 + 696*v**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1624 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13932 and 5.\nAnswer: -69660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -109046 + 36639593\/336. Find the common denominator of 29\/48 and h.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of m**4\/4 + 2*m. Suppose 0 = 2*y - 0 - 4. Let c(p) = -2*p**y + 4*p**2 + 0*p**2. Calculate c(q(a)).\nAnswer: 18*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -7*i + 4*i + 4*i. Let w(p) = -297*p. Let b(g) = 11*g. Let o(t) = -55*b(t) - 2*w(t). Determine f(o(n)).\nAnswer: -11*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7201 is divided by 868.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 0, 5906, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 3:35 AM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1141211 divided by -17033\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22990869*-39.\nAnswer: -896643891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -257*o**6*s**2 + 337*o**4*s**2 - 297*o**2*s - 3*o*s**2 - s - 4 wrt o.\nAnswer: -30840*o**3*s**2 + 8088*o*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 934 is divided by 233.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -182 + 561. Let g = i + -61. What are the prime factors of g?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2385 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -233100 (base 4) to base 13.\nAnswer: -14b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000266 to seven decimal places.\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11122)\/660 + 12\/(-72) + 17?\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/81 - (18 + 7 + 856\/(-9))?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-1\/3)\/v)\/v**(-12\/5))\/(((v**(-2\/33)*v)\/v)\/(v\/(v\/v**(7\/6))*v*v)))**44 assuming v is positive.\nAnswer: v**(2834\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -18 - 20*n**2 + 19*n**2 + 238*n - 257*n = 0. Calculate n.\nAnswer: -18, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by 4712.\nAnswer: 7\/2356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 - 5) + 15 + 0. Suppose -2*h = 3*h - c. What is the second derivative of -m**4 - 5*m + 3*m**4 + h*m**4 + m wrt m?\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 2\/14361?\nAnswer: 2\/14361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-68)\/(-18) - 4)*(-14 - -5). Sort y, -37, 5, -3 in decreasing order.\nAnswer: 5, y, -3, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*j**2 + 10*j**2 - 10*j**2 - j**2.\nAnswer: 111*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 8*h - i, 3*h + 3296*i - 3292*i = 21 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 12 = 4*a. Suppose -m - 1 = 4*c, -2*m + 28 = 2*c + 6. Let n = a + m. Solve 0 = -t + 5*t - n for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -535483\/5 + 1409390951\/13160. What is the common denominator of n and -89\/20?\nAnswer: 13160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 5197078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j = -4*k + 34, -15 = -31*k + 28*k for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1304 + 2075 = 109*y. Solve 0 = y*n - 19*n + 12 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4296\/23 or -186?\nAnswer: -4296\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/(l**14*l))\/l*l)\/l)\/l**(-4\/7))\/(l\/(l**(-13)\/l))**49 assuming l is positive.\nAnswer: l**(-5246\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00087047 to 5 decimal places.\nAnswer: -0.00087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 4. Let p(z) = z**3 + 8*z**2 + 6*z + 2. Let f be p(-7). Let n = -7 + f. Solve -n = 3*r + g for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5952 and -148?\nAnswer: -880896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 13, -0.1, -2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*d**2 - 51*d - 45 = 0. What is d?\nAnswer: -3, -5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 - 43 = -14*h + 7 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = s + 21 - 34, 11*j = 6*s + 31*s - 97 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -51431 to the nearest 100.\nAnswer: -51400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -o**3\/3 + 3*o**2\/2 - 3*o + 49. Determine b(-5).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**4 - 44*r**3 - 338*r**2 - 1056*r - 1152 = 0. Calculate r.\nAnswer: -8, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-25)*(-47 + 62).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, k: 3, n: 6, h: 1}. Give prob of sequence knh.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10144 - 1043214?\nAnswer: -1053402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220*j - 222*j + 32 = 2*r, -34 = 2*j - 4*r for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 > 96?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q - 1. Let b(j) = -j**2 - 148*j + 3. Determine -b(o) - 3*s(o).\nAnswer: o**2 + 145*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 99.6528720763?\nAnswer: -103.6528720763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18 or -107114\/5783?\nAnswer: -107114\/5783","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24.6 - -25. What is the nearest to 3 in n, -2\/15, -2\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 12 = -z. Let f(d) = -3*d - 15. Is 21 a factor of f(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -413*r**3 - 330*r**3 + 928*r**3 - 2*r**2 + 2*r**2.\nAnswer: 185*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 106087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-34)\/4 + 8547\/990. Let k = -15 - -6. Which is the third biggest value? (a) o (b) k (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*h - 3*h - 364 = 0. Suppose 0 = k + 3*u + 8, -5*u - h + 1 = 2*k. Solve -5*d + 15 = 5*x - 0*d, 2*x = k*d for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43041 - -43766. What is the remainder when r is divided by 251?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*(-21)\/196*-7)\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 3*t + 8*t - 14*t + 2 - t - 2 + (1 + 6 + 0)*(4*t - 3*t - 3*t).\nAnswer: -18*t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -426 divided by 6\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -2, 109976, 1\/3, 1\/7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z - 20. Calculate j(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1653*i - 280*i + 39067 - 140683 = -379*i for i.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3\/146 + -319\/1314. Suppose -2 = -2*v, -5*v + 45 = 2*r + 2*r. Suppose r = -4*x - x. Which is the second smallest value? (a) -4\/5 (b) h (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 1. Let p be ((-1)\/2)\/((-8)\/(-80)). What is the third biggest value in 2\/11, p, r?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 248 a factor of 5825272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 974 in -0.1493, -0.1, -1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 906 - 901.89. Let f = -0.124 + 0.234. Let l = a - f. What is the nearest to -2\/3 in l, 0, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 1 = 2*n + 3, -3 = -3*k + 3*n. Solve -4*y - 8 = -k*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 plus -471651005?\nAnswer: -471651005.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 - -13. What is the common denominator of -6 - (1\/g)\/((-33)\/(-3786)) and 61\/4?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, d: 1, f: 3, k: 6, w: 1}. What is prob of picking 1 d, 1 f, 1 j, and 1 w?\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(567)*-2 + -2 + 3.\nAnswer: -18*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000025898722 to seven dps.\nAnswer: 0.0000259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lv when two letters picked without replacement from {v: 10, l: 2, w: 3, h: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, 2, -1\/2, 0.1, -10?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 + 12. Let d be (-64)\/(-28) + 3 - 5. Put 4, m, d, 0.2 in ascending order.\nAnswer: 0.2, d, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.7476 - -15.7476. Put -0.5, -11\/6, 3, s in ascending order.\nAnswer: -11\/6, -0.5, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -33. Let k be 5\/w - 8\/12. Which is the closest to k? (a) 1\/6 (b) -1\/6 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 14 + 11. Let k = 2 - -1. Suppose 0 = k*m - 7 + 1. Solve v = m*v - i for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37 or -25?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4*((sqrt(114) - -1*sqrt(114))*5 + 2*sqrt(114)*-5 + sqrt(114) + sqrt(114))\/(4*-3*(sqrt(6) - sqrt(150))).\nAnswer: -5 - sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of 0 + 21*m + 0*m**3 + 95\/24*m**4 - 2*m**2. Let r(z) = -z**2. Give p(r(c)).\nAnswer: -95*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(5\/(-15))\/(1\/(-15))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z**4 - 585*z**3 + 7165*z**2 + 16065*z + 8320 = 0.\nAnswer: -128, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 5:30 PM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44 + 49. Suppose -2*p + 3*u = -63, -3*p - 53 = -c*p + 5*u. Suppose 5*l = 689 - p. Does 26 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -36.1 and -2?\nAnswer: 34.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 6*s - 1 - 640*s**3 - 4 - 18*s**2 + 317*s**3 + 321*s**3 + 0. Let h(a) = a - 1. Calculate -b(v) + 6*h(v).\nAnswer: 2*v**3 + 18*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6446.999985115 + -6447. What is t rounded to 7 dps?\nAnswer: -0.0000149","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.751595 millilitres to litres.\nAnswer: 0.005751595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of 4*j**4\/3 - 16*j**2 + 5*j. Find the first derivative of r(h) wrt h.\nAnswer: 32*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.061358 millennia in decades?\nAnswer: 406.1358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -41*j - 32. Let g be t(-10). Let s = g - 378. Which is bigger: 1\/33 or s?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 858074114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 2*s + 6132, 1 + 2 = -q. Let b = 4868 + s. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1396\/29? (a) -5 (b) -1\/8 (c) 0.5 (d) -9 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7842099701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-440)\/165*(-6)\/(-8) - 53\/2. What is the third biggest value in 5, l, 2\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 26 = -a, -a + 4*a = 5*b - 7. Suppose 0 = 5*d + a - 46. What is the least common multiple of d and (-4)\/(12\/(-57)) + 3?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p - 6. Let j(b) = 3*b + 2. Let y be j(-2). What is the units digit of q(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 29 = 138. Suppose 285 = 4*p - g. Does 19 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -137099\/16 - -8573. Calculate the common denominator of 49\/178 and y.\nAnswer: 1424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5*k = -6 - 0, -4*t - 3*k = -8. Let l be (3 - 3)\/(t + -1). Suppose l = -5*i + 54 + 66. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 421474?\nAnswer: 2, 83, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of 0*t**3 - 3\/2*t**4 + 21*t + 5 + 0*t**2. Find the first derivative of j(s) wrt s.\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1893 times -13.4721?\nAnswer: -25502.6853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.022369 rounded to 3 decimal places?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*q + 13*q - 19 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73720.\nAnswer: 2, 5, 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/3017262 and 89\/226.\nAnswer: 340950606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -b**7\/252 + 7*b**6\/216 - b**5\/12 + 2*b**3\/3 - 11*b**2\/2 + 6. Let k(g) be the third derivative of c(g). Factor k(w).\nAnswer: -5*w*(w - 2)*(2*w - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21145 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 5*b + 26. Is p(6) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m**5*p**2 + 160*m**3*p**3 - 3*m*p**3 - 48*m wrt m?\nAnswer: -20*m**3*p**2 + 960*m*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/(-2))\/3)\/((260\/270)\/(-26))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6388 - -6390. Solve 7*r - 9*r = 2*y + 12, 12 = n*y - 4*r for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 128 - 127. Which is the smallest value? (a) w (b) 0.5 (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (74\/10)\/(4\/20). Let x = d + -36. Let l(k) = k + 1. Let u(w) = 1. Let q(v) = x*u(v) - l(v). Let b(o) = -8*o. Give q(b(r)).\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/6)\/(3\/(-30)). Let c be (9\/3 - 3)\/(-2). Suppose c = -4*r - h*x + 28817 - 5632, r - 3*x = 5809. What is r rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44 - 26. What is the remainder when 32 is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.14 - 7.14. Let x = g + 20. Let o = x - 8. Which is the smallest value? (a) 2 (b) o (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9 and -6735617592354.\nAnswer: -6735617592345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7946 to the power of 1\/2, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (10\/8)\/(-1) + (-20)\/80\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4332113 + 122?\nAnswer: -4331441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 44805689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 176\/55 - (-2)\/(-10). Let t = -9 + j. Let m(y) = -y**3 - 5*y**2 + 4*y - 7. Give m(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 5*q**3 - 60*q**2 - 7*q - 11. What is u(12)?\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 - -34. Let s = -37 + 23. Let w = s + v. What is the nearest to w in 1, -4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 562 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-1 - 1 - (11 - 12)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(98) + sqrt(98) + -1 + sqrt(98))**2*-2 + -5.\nAnswer: -7069 + 336*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 86*m**2 + 1. Let g be w(1). Suppose -3*d + 33 = -g. Let a(x) = -x**3 + x**2 - x + 5. Let j be a(0). What is the greatest common factor of j and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 99*a - 12. Let r be ((-25)\/(-10))\/(3\/30). Suppose 3*s - x = -2*s + r, -x - 5 = 0. Let n be l(s). Round n to the nearest ten.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 180 = -6*s. Calculate the smallest common multiple of s and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/2)\/f)**(-2\/19)\/(f*f**(-1))**(2\/5))\/(f**(-2)\/((f**(-2)*f)\/f)*(f*((f**(-1\/2)\/f)\/f*f)\/f*f)\/f**(-2)) assuming f is positive.\nAnswer: f**(-51\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7\/28*188 - 5. Let v = 1 - 7. Let r be 18\/o*4\/v. Which is the nearest to r? (a) 4 (b) -1\/4 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**5 + 2*o**5 - 5*o**5 + (-3 + 6 - 1)*(o**4 - o**4 - 2*o**5) - 224 + 41*o**5 + 0*o**5 - 5*o**3 + 222.\nAnswer: 35*o**5 - 5*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33682.\nAnswer: 2, 11, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zeq when three letters picked without replacement from {c: 1, z: 1, e: 5, q: 4}.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.363 and 0.5.\nAnswer: 0.1815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 142927 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3246 - -3294. Let m(s) = -s**2 + 9*s - 6. Let x be m(6). Calculate the greatest common divisor of h and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1889 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8291.71 nanoseconds in milliseconds?\nAnswer: 0.00829171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.13 - -0.24. Let t = 0.1105 - o. What is t rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*l**3 - 527*l**3 - 66*l**3.\nAnswer: -614*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8804 is divided by 188.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14819 is divided by 95?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6385105 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zuuu when four letters picked without replacement from uzzuzzuzuuuzu?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 4 = b, 5*z = -55067*b + 55072*b - 20 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16.531 + -0.131. Let b = -15.989 - 0.011. Let c = b + o. Sort -0.5, -1\/5, c in descending order.\nAnswer: c, -1\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, w: 2, t: 1, i: 10, b: 2}. Give prob of picking 3 i and 1 b.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t\/t**3*t)\/t))**(-7\/11)\/(t**(-16))**(-1\/20) assuming t is positive.\nAnswer: t**(-149\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-9)\/w)\/(w\/(w**(-22)*w)*w*w*w))\/(w*(w\/((w*w\/(w\/w**23)*w)\/w))\/w*w**(-1\/13)) assuming w is positive.\nAnswer: w**(-155\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 159119586?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 23 - 0 - (-3 - -4). What is the highest common divisor of a and 198?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1131 and 26657583?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(114)*6 + sqrt(114) + sqrt(114) + sqrt(114) + 1*(sqrt(114)*3 - sqrt(114)) + sqrt(114))\/(5*(5*2*sqrt(24) + sqrt(24))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 79 + -4?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r - 2*r + r)*(-r**2 + r**2 - 2*r**3) - 14*r + 14*r - 4*r**4 - 93*r**4 + r**4 + 3 - 3.\nAnswer: -106*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1))**(-2\/29)*((k\/(k\/(k*k*k**(-1\/11)*k)))\/k)\/k**(-2\/13))**(5\/13) assuming k is positive.\nAnswer: k**(44205\/53911)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 10020022 (base 3) to base 10\nAnswer: 2357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 - 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 e when two letters picked without replacement from {o: 8, g: 2, e: 3, l: 2, m: 4}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -6, -53, -37 in increasing order.\nAnswer: -53, -37, -6, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 9*j**2 + 109*j - 322. What are the prime factors of p(28)?\nAnswer: 2, 3, 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -291272871, -582545742, -873818613?\n\"Answer: -291272871*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 7*h**2 + 4*h + 4. Let i(v) = -843*v**2 + 1680*v**2 - 836*v**2 + 1 - v. Let j(m) = -9*m**2 - 6. Let o(x) = -3*i(x) - j(x). Give -4*d(u) + 5*o(u).\nAnswer: 2*u**2 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 30289878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25655407*v**5 - 23233075*v?\nAnswer: 513108140*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 13*v - 5)*((1 - 6 + 1)*(v + 4 - 4) - 6 + 6 - 2*v).\nAnswer: 78*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -2*y + 11 + 1, -5*y - 24*d + 21*d + 93 = 128 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 418 is divided by 340?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/8*3*20\/(-18).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10564 (base 11) in base 8?\nAnswer: -35724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 47218*r + 235764. Give t(-5).\nAnswer: -326","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -3850556 to the nearest one hundred thousand.\nAnswer: -3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4216, -33714, -113834, -269902, -527244?\nAnswer: -911186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1386 or 1403?\nAnswer: 1386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2. Let p(l) = 2 - 2 + 59*l - 58*l. Calculate p(w(c)).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + w**2 - 3. Let m(p) = -3*p - 30. Let d be m(-9). Give g(d).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-7)*(84\/30)\/(144\/(-420)).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -14679200 to the nearest one hundred thousand.\nAnswer: -14700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**2 - v - 2. Suppose 0 = -w + 2*w - 2. Let k be t(w). Suppose u + 3*u + 36 = k*z, 2*z + 5*u - 11 = 0. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/9))**(-9)*k**(-5)\/k**12)**(5\/3) assuming k is positive.\nAnswer: k**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 945106.\nAnswer: 2, 499, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 28*q + 250. Determine w(10).\nAnswer: 530","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -9*c - 237. Which is smaller: -26 or c?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s + 1186*s**2 - s**3 + 6*s + 912*s**2.\nAnswer: -s**3 + 2098*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + 5*i - 3. Let y be q(2). Let j be 2\/y*18\/(-2). Let v be (6\/44)\/(j\/(-8)). What is the third smallest value in v, -2\/5, -1\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-81)\/36*2\/3.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/4 and -37\/44310242?\nAnswer: 88620484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108 and 28636?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence so when two letters picked without replacement from {s: 6, o: 4}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47621\/2 - 24262. Let f = -472 - v. Calculate the common denominator of f and -29\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40.052 - 43.052004. Let f = o + 3. Round f to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*z + 2 + 3*z**3 - 3*z + 11*z**2 - 3*z**4 - 14*z - 5*z**4 + 0*z**4 to the form f*z**3 + d + t*z + j*z**4 + b*z**2 and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -r**7\/60 + 2*r**6\/15 - 38*r**3\/3 + 32. Let q(o) be the third derivative of s(o). What is the third derivative of q(g) wrt g?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000272 to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29 and 290?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d + 293 = 61*d + 865. Let c(t) = 9*t + 9. Let r(q) = 5*q + 5. Determine d*r(n) + 6*c(n).\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u - 5. Suppose 34*m = 28*m + 126. List the prime factors of t(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of 0*k**2 + 23 + 7\/3*k**3 + 0*k. Let m(b) = -b. Calculate m(f(d)).\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 6*d - 47. Let b(k) = -k**3 + 4*k**2 + k - 1. Let i be b(4). Suppose i*n + 2*n - 80 = 0. What is the remainder when n is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.137 - -167.137. Let f = 167.5 - a. Put 1, 4\/5, f, -2 in decreasing order.\nAnswer: 1, 4\/5, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52243?\nAnswer: 89, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-286)\/2717)\/(5\/(-1330))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 53495 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 272\/15 + -99\/5. What is the closest to -1 in -4, -666, f, -0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 588 (b) 0 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -4*p + 2. Suppose -x - x - 2 = 0. Let z be (-6)\/((6\/4)\/x). Let w(s) = -5*s + 0*s + 0*s + z*s. Calculate -g(k) + 3*w(k).\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = 2*z - 2*u - 524, 4*z - 1069 = -u. Suppose x = 2*s - 0*x - z, 0 = -3*s + 4*x + 412. Suppose 2*b - 3*p - s = p, 4*p = b - 60. Is 10 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 6, -29, -3.\nAnswer: -29, -13, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2481, -4853, -7239, -9645, -12077, -14541?\nAnswer: -17043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3403 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 607.7087 rounded to the nearest 10?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/((-2)\/(-2 - 0)). Let u = -87 + 92. Which is the nearest to d? (a) -0.4 (b) -2\/9 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/1*(-4)\/(-20))\/((-1)\/(-3))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a - 2*a**2 + 6*a**2 + 1 + a**2 as c*a + g*a**2 + i and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/4 - (-6)\/12. Suppose 0 = -5*p - 20, -4 - 8 = 5*w + 3*p. Which is greater: q or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*124122\nAnswer: 62061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*c + 12*c = -128. Let d(b) = b - 3. Let z be d(6). Solve a = -z*a - c for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*w**2 - 9*w**5 + 10*w**2 + (-5*w + 5*w - 2*w**2)*(w**3 + w**3 - w**3) + (-2 + 6 - 3)*(3*w**5 + w**5 - 5*w**5).\nAnswer: -12*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 42*j**2 + 251*j - 7. Let l be b(-6). Which is smaller: l or -107?\nAnswer: -107","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252*h + 227*h = -100 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**4 + 12*x**3 - 7*x**2 - x. Let r(z) = z**4 + z**2 - z. Suppose -6*l + 14*l + 40 = 0. Let m(h) = l*r(h) + n(h). Factor m(y).\nAnswer: -4*y*(y - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 5*q**2 - 7*q - 8. Let l be a(-6). Let t be (-18)\/27 - l\/30. Sort 5, -1, t in increasing order.\nAnswer: -1, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 l when three letters picked without replacement from {l: 7, a: 6, g: 1}.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 greater than or equal to 10628\/551?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 24845 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 843, 6393, 15639, 28587, 45243, 65613?\n\"Answer: n**3 + 1842*n**2 + 17*n - 1017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 497*b**2 + 185626826*b - 185626826*b.\nAnswer: 497*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3300 and 4140.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 1 - 1571*w + 2152*w to f + j*w and give j.\nAnswer: 581","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*d - 2*d - d)*(0 + 0 + 2*d)*(6 + 3 - 18) as r*d**2 + i + c*d and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 2340, 4, 1, -1 in increasing order.\nAnswer: -5, -1, 1, 3, 4, 2340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-50)\/350*(-12)\/(-15)*-15. Factor -9\/7*d**2 - 3\/7*d**3 + 0*d + n.\nAnswer: -3*(d - 1)*(d + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 63\/12 + (-27)\/(-36). Which is the closest to 2? (a) -3 (b) -4\/5 (c) f (d) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 208.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.6 and 2.029.\nAnswer: 1.2174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3866\/679 - -40\/7. Which is smaller: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -736 - 1939*r**4 + 164 - 2025*r**4 wrt r.\nAnswer: -15856*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -94 * 2383658.\nAnswer: -224063852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 339592 and 4086.\nAnswer: 3056328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2206*x**2 + 5363*x + 4. Let y(w) = -4*w - 1. Let h(z) = -j(z) - 4*y(z). What is the second derivative of h(p) wrt p?\nAnswer: 4412","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-8)*16\/((-160)\/(-30))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -4*t**2 - 2*t + 2. Determine q(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 24552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 48 = -7*n + 4*n, u = -n + 17. Let w = n + -13. Let c(v) = -v - 1. Let l(s) = 2 - s**3 + 0*s**3 - 6 - 4*s. Give w*l(z) - 4*c(z).\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y**2 - 7*y + 19*y**2 + 7*y to p*y**2 + o*y + u and give p.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 12. Let g be 1\/3*(9 + m). Suppose 4*r + 3*n - 116 = 0, 3*r = -g*r + n + 145. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 628*s - 680*s - 232*s**2 - 3*s**3 + s**3.\nAnswer: -2*s**3 - 232*s**2 - 52*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188 is divided by 78?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + sqrt(32))*3 - sqrt(32)*6)**2 - (sqrt(2) + -3 + sqrt(4)\/sqrt(2))**2*-6.\nAnswer: -72*sqrt(2) + 264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4394 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -5*38143\/(-140) - (-5)\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + q - 1 + (-3 - q + 3)*(-1 + 2 - 2) + q + 9*q - 2*q - 2*q + 3*q + q + (-q - 2*q + 5*q)*(2 - 1 - 3) + 3*q - 3*q - q.\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (3480\/(-144) + 24)\/(74\/5*(-85)\/(-68))?\nAnswer: -1\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 213121?\nAnswer: -213120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -3 - 188\/(-72)*-2.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -l**4\/4 + l**3 - 3*l**2\/2 + l - 6. Factor w(j).\nAnswer: -(j - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a day in hours?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/12 - (-4)\/(-12). Suppose 5*t - 2 - 8 = s. Determine f, given that -4 - 3*f**2 + 10*f + t*f**3 - 2*f**2 - 3*f**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(72)*6)\/((sqrt(4) - sqrt(144)\/sqrt(4))*-1).\nAnswer: 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1290 - 7789\/6. Let i = -151\/18 - p. Which is bigger: i or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*g + 2*g + 21 = 0. Let u = -17 + 118\/7. Which is the third biggest value? (a) g (b) 0.2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1065.\nAnswer: 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -157.375 to zero dps.\nAnswer: -157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -417 - -425. Calculate the remainder when (2 - 4)\/((-6)\/81) is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g**4 + 99*g**4 + 51*g**4 + (5*g**2 + 0*g**2 - 3*g**2)*(6*g**2 - 4*g**2 - 3*g**2).\nAnswer: 145*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*b**5 - b**4 - 12*b**3 + 5*b**2 - 40*b + 2.\nAnswer: 900*b**2 - 24*b - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 123*d**2 + 11*d + 14. Let n be s(-2). Let l = 626 - n. What is the remainder when l is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -284, -5, -2 in increasing order.\nAnswer: -284, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 68\/873 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 17*d**2 + 15*d + 10. Suppose 0 = 5*i + 19 + 41. Let g be z(i). What is g rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + (-25 + 6 - -15 - -14)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7665 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 3311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((7 - -1)\/(-4))\/((-8)\/(-16) + (-258)\/215)?\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 270 and 12.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8022 less than -75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1010110001000122210 + 2?\nAnswer: 1010110001000122212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 + 4 + 4*k**3 - 3*k**3 + 0*k**2. Suppose 2*g = 4*g. What is c(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -9*a**4 - 651*a**3 - 11277*a**2 + 8031*a + 3906 = 0.\nAnswer: -42, -31, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2\/61)\/(o*o\/(o**(-4\/15)*o)*o)*o\/(o*((o**(-23)\/o)\/o)\/o*o)*o\/((o\/(o**(-4)\/o*o*o))\/o) assuming o is positive.\nAnswer: o**(18941\/915)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**2. Let h(r) = -5*r**2 - 3989*r + 5. Determine h(q(g)).\nAnswer: -20*g**4 - 7978*g**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -4*p - 0 - 9, 1 = -a. Let w = 8 - p. Let i(h) = 2*h - 1. Is i(w) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -140 (base 8) in base 3?\nAnswer: -10120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/64 and 91\/1784.\nAnswer: 14272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.37 - 0.37. Sort -4, -0.4, -0.033, y.\nAnswer: -4, -0.4, -0.033, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/6 - 122*i**2\/3 - 7442*i\/3.\nAnswer: -i*(i + 122)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 2*u - 14149*r + 14146*r, r = 3*u - 14 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21744 is divided by 146?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1119390 + -790577. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 554 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d**2 - 21*d + 26*d + d**2 - 4 - 3*d**2 + 4 + (-3 + 3 + 2)*(5 - 3*d**2 - 5) as w*d + s + c*d**2 and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -226*r - 8296. List the prime factors of p(-40).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -2*c + 2, 34*c = 29*c - 2*i - 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1221253?\nAnswer: 11, 10093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -793224 + 0?\nAnswer: -793224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3)*-2 + -4 + (sqrt(3) + -1 + -3)**2 - ((sqrt(3) + 1*sqrt(3) + -1 + sqrt(3))**2 - sqrt(3) - sqrt(18)\/(sqrt(12)\/sqrt(2))).\nAnswer: -13 - 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11400684 and 1613?\nAnswer: 1613","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 5*w. Let f be b(3). Suppose -f*p + 18 = -9*p. Let q be p - (-4)\/(-6)*-3. Solve 2*d = -6*g + g + 15, -5*g + q = 4*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 2*w + 10, 36*b - 39*b = 3*w + 51. Let h(i) = 13*i - 7. What is h(w)?\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 10404?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 3:35 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of 2*s**3\/3 + 11*s + 23. Let m(r) = -2*r + 5. Let y(i) = -3*i + 8. Let t(x) = 8*m(x) - 5*y(x). What is t(a(n))?\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3590?\nAnswer: 2, 5, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 535258451546 - -4.\nAnswer: 535258451550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*((g*g**(-2\/7))\/g)\/g)**(-32)*(g*g**(-1\/2))\/(g*(g\/((g*g\/(g*g*g\/g**6*g)*g)\/g)*g*g)\/g)*(g**(-2)\/g**(-1))**23 assuming g is positive.\nAnswer: g**(-173\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 92713 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 4 (b) 1\/4 (c) -3\/7 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.8 - 118.9.\nAnswer: -123.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 g, and 1 f when three letters picked without replacement from jjujujyjjfyjjg.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000395579 rounded to 6 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -49*c**3*p**2 - 9*c**3 - 2*c**2*p + 17*c*p**3 + 284*c*p - 8*p**2 - 2*p wrt p?\nAnswer: -98*c**3 + 102*c*p - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of u**5\/30 + u**4\/18 - u**3\/9 - u**2\/3 - 4*u. Factor m(j).\nAnswer: 2*(j - 1)*(j + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -4*m, 5*x + 3 = 5*m - 7 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 865707, 865175, 864641, 864105, 863567, 863027?\n\"Answer: -w**2 - 529*w + 866237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -2*u + u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xjjz when four letters picked without replacement from {z: 3, j: 5, x: 2, s: 3, c: 2}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, m: 5, t: 2, v: 2, a: 2, r: 1}. Give prob of picking 1 r, 1 v, and 1 l.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -643? (a) -471 (b) 2\/3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ozo when three letters picked without replacement from {o: 3, z: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5*f + 45 = 2*n, 3*f + 7 = -2*n. Let g = -3 - -6. Suppose -p + n = -g*p. Sort 0, -5, p in ascending order.\nAnswer: -5, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u**3 + 5*u**2 + 4*u + 3. Let m(h) be the second derivative of -h**5\/10 - h**4\/3 - h**3\/2 - h**2 + 3*h. Determine 4*m(s) + 3*q(s).\nAnswer: s**3 - s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 6 = 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 12*q - 11. Let l(i) be the third derivative of i**4\/12 + 275*i**2. Give a(l(b)).\nAnswer: 24*b - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-48)\/15*(-30)\/(-3). Let y(h) = h**3 - h**2 - 6*h + 5. Let a be y(5). Let g = n + a. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 6:22 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155133?\nAnswer: 3, 11, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j - 18 - 2 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 + 6*g**2 + 2*g - 9. What is the least common multiple of q(-5) and (-19)\/5*(-6 - 4)?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 i when two letters picked without replacement from tcacelieelet.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h**2 - 55*h - 19. List the prime factors of o(26).\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j + 5. Let n be d(-4). Let w be (-3 + n + 3)*108. Suppose -s - 29 = 5*l, -5*s = 5*l + 97 + w. What is s rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60014380 is divided by 29390?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, g: 1, z: 1}. What is prob of picking 1 z and 1 g?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 84314 = -4*o, 5*v - 140470 = 2*o + 2*o. Suppose 41*b - v = 643. What is the hundreds digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3409 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1250677185 to the nearest integer?\nAnswer: 35365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38564 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 12:25 PM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2 + 0 = 0, 2*m + 4*h = 1622. Let a = -383 + m. Does 24 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/10 - 2\/(-50). Let y = p + -68\/75. Put y, -0.2, 0.4 in decreasing order.\nAnswer: 0.4, -0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 206823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*a - 448*a + 2196 = -37*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10195\/8 + 1279. Calculate the common denominator of (4\/(-8))\/((-12)\/416) and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q - 1. Let m be y(3). Let w(s) = 3*s**2 + m*s**2 + 2*s**2. What are the prime factors of w(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(1 + 1\/(-2) + 3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28846727?\nAnswer: 7, 13, 359, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8276.075 milligrams?\nAnswer: 8276075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -107, -314, -719, -1388, -2387, -3782?\nAnswer: -5639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -130032322 (base 4) in base 2?\nAnswer: -11100001110111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -18*z + s + s - 0*s - 34, -12*s - 408 = -2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -67398.89 - -66397. Round g to the nearest 10.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9531 + -9530. What is the highest common factor of 3495 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 395986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156530.\nAnswer: 2, 5, 11, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1212 and 60.\nAnswer: 6060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 5*i**2 + 2*i - 1. Let v be t(4). What is the common denominator of -1 + v\/4 + 1 and 97\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**2*q**2 - 154*d**2*q + 4004*d*q**3 + 7*d wrt q?\nAnswer: 4*d**2 + 24024*d*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 16*k**5\/5 - 7*k**2\/2 - 3. Find the second derivative of o(q) wrt q.\nAnswer: 192*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -427.9 - -297. What is c rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -90 - 3?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03261*0.1.\nAnswer: -0.003261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -676*y + 40 = -684*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2816\/(-33))\/32)\/((-2)\/(-6))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - -2 - (-2)\/5. Let f be -10 - (-3)\/((-180)\/(-588)). Which is the second biggest value? (a) -0.1 (b) f (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**0)\/(h**(-32)*h) assuming h is positive.\nAnswer: h**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 0.88, -6, 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of 1\/10*r**5 + 1\/60*r**6 - 1\/35*r**7 + 0*r**3 - 1\/6*r**4 + 0*r + 1\/168*r**8 - 82*r**2 + 0. Factor n(x).\nAnswer: 2*x*(x - 2)*(x - 1)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -756808*x**3 - 69864*x**2 + 131*x?\nAnswer: -4540848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1234 divided by 617?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 20 = 5*n. Suppose -5*z + r + 73 = 0, 0*z - 5*r - n = -z. What is the highest common divisor of z and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25714?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*g - 9, 25 = -3*q + g. Let k(r) = r**3 + 11*r**2 + 8*r - 14. Let b be k(q). Suppose b*d - 8*d + 6 = 0. Solve c + 10 = t - d*c, 5*c + 8 = -t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 72 = 5*x, 3*x - 48 = -h + 2*h. Let g be ((5 + -20)\/(-5))\/(1\/(16\/6)). Suppose -g*y + 5*y + x = 0. Solve -5*v - i = -27, -v + 13 = -i + y*i for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 3)*(3*y**2 - 3*y**2 - y**2) + 2*y**2 + 0*y**2 + 0*y**2 - 4*y**2 + 2*y**2 + 0*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 625 and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 k when two letters picked without replacement from {n: 2, k: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -921253 and -184391.\nAnswer: -1105644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 0.2. Sort -0.5, z, -2\/23 in increasing order.\nAnswer: -0.5, -2\/23, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zrege. Give prob of picking 1 r, 1 e, and 1 z.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -g**4\/12 + 2*g**3\/3 - g. Let z be p(4). Suppose -2*l = 4*r - 58, -4*l + 2*r = -z*r - 76. Does 21 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -z - 0*z + 3*u, -5*z = u - 99. Let w be z\/(-8)*(-92)\/5. Suppose j = 3*j - w. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 7*u + 3*d - 7635, 0 = 5*u - 2*d - 9561. Let f be 3195\/((-225)\/15) - (-2 + (1 - -6)). Let j = u + f. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-63) - ((-5262)\/(-2970) + (-21)\/35)?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 65 + -60. Let l = 10 - o. Solve -l = 3*v - 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -v**3\/3 + 9*v**2 + 19*v - 103. What is i(13)?\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1472*q**2 - 230*q**2 + 322*q**2 - 45 + 45.\nAnswer: -1380*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57817?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 334933475 to the power of 1\/4, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 3\/283?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5970297.\nAnswer: 3, 41, 48539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 15412480?\nAnswer: 15412480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 21, -0.279, 1\/3, -0.2?\nAnswer: -0.279","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -232 minus -11?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide (359 - 11)*(-1 - -9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 8:15 PM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51110606 to the nearest integer?\nAnswer: 7149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -43, -47, -49, -49?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 37, 76, 121, 172, 229, 292?\n\"Answer: 3*m**2 + 30*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 54*v. Let d(y) = -52*y. Let s(f) = -3*d(f) - 4*q(f). Let c(h) = -5*h**2. What is s(c(t))?\nAnswer: 300*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 73639057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -476, -1842, -4120, -7316, -11436, -16486, -22472, -29400?\n\"Answer: -t**3 - 450*t**2 - 9*t - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 682 is divided by 61?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -4*a**2 - 250*a - 731. Determine o(-60).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -9*f + 105 - 3*f + 13*f - 43 - 34. What is a(9)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -185 + 207. Calculate the remainder when 85 is divided by o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 - (20 + 10 + -6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 3*b**2 - 2*b - 1. Let l = -4 + 2. Let z be x(l). Let s(a) = -a - 11. Let g be s(-9). Which is smaller: z or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 612 - 375. Let v = 385 - m. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 850\/(-25) + (-14416)\/(-425).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 59*v = 54*v + 10, 0 = -p - v - 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*690.0067.\nAnswer: -1380.0134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/42*(-10)\/(-4)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66870 divided by 9.\nAnswer: -7430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvvvvvvvvvdv. Give prob of picking 4 v.\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 9*q**3 + 6*q. Suppose -r + 3*h - 13 = -5*r, 4*r + h - 7 = 0. Let i(s) = s**3 + s. What is r*j(g) - 6*i(g)?\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z + 10 - 5, s + 8 = -3*z for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -43 (b) 0.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 166?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2202200023 (base 4) to base 12\nAnswer: 281237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - v - 4 = 0, -3*s + 230677 = 4*v - 7*v + 230671 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2. Let j(a) = -267*a**2 + 107 + 269*a**2 + 159. Determine f(j(l)).\nAnswer: -4*l**4 - 1064*l**2 - 70756","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 divided by -421?\nAnswer: -38\/421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2963\/1560 + 72\/65. What is the common denominator of 109\/20 and u?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, q: 1, m: 1, l: 1, k: 1, y: 1}. What is prob of picking 2 m and 1 l?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4 = -2*y, -3 + 6 = 2*v + 5*y. Let x(n) = -25*n + 18*n - 30*n. Is x(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 4663?\nAnswer: -2\/4663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 331944246 - 50.511?\nAnswer: 331944195.489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**2 - 121*q - 1423. Give j(-16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 e, and 2 t when four letters picked without replacement from {c: 3, g: 2, o: 4, e: 4, t: 2, b: 3}?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2098 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + 3)*(4*i + 0*i - 2*i)*(309*i**2 - 726*i**2 + 640*i**2) to the form c + o*i + n*i**3 + z*i**2 and give n.\nAnswer: 892","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4791.3 + 4788. Let g = -1.95 + -0.05. Which is greater: g or w?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -1066\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 306694 is divided by 306619?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0 + 3*d**2)*(145*d**3 + 31*d**3 + 23*d**3 + (-2*d + 3 - 3)*(5*d - 2*d**2 - 5*d)).\nAnswer: 609*d**5 - 203*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from czrbzlcobbbzorro. Give prob of sequence cb.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -657 - -661. What is the third biggest value in -1, -2\/7, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 180 - 142. Suppose 0 = -3*r + 9, 2*m - u = -3*r + 51. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a week in hours?\nAnswer: 7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*v + 767 - 2072 = 0 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 95 by 1434470.\nAnswer: 19\/286894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, l: 5, k: 8}. What is prob of picking 1 l and 1 k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1224.79 in 0, 2, -60?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 856944486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 20*q + 18*q + 68910 = 0, 5*v = -q + 114857. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + x = 28, 1137 = 3*h - 5*x + 1167 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 236500904 to the nearest 100000.\nAnswer: 236500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/2, 3, 21843, -2\/3, -35, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 5:24 AM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*a - 2*a**3 + 6*a**3 + a**3 wrt a?\nAnswer: 30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 744?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 725.357mg in nanograms?\nAnswer: 725357000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m*m**(-6))\/(m**(-9)*m)*m**8\/m*m*m**(1\/3) assuming m is positive.\nAnswer: m**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/((-301)\/(-1720)*-4)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000109021 rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -2260\/73 != -32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 7. What is the derivative of y**2 - 3*y**c + 16*y**3 - 1 + 16 wrt y?\nAnswer: 48*y**2 - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3\/5747 - 327699\/229880. Calculate the common denominator of ((13\/52)\/(1\/2))\/(2342\/(-194) + 11) and a.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 1169*d - 9 + 30 - 9 - 12.\nAnswer: 1169*d - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/6, -1741\/8, -2, 4.4 in decreasing order.\nAnswer: 4.4, -5\/6, -2, -1741\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of u**5\/60 - u**4\/4 - 605*u**2. Determine c(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -4. Sort -4, i, -6.\nAnswer: -6, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28528 and 17830?\nAnswer: 142640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8442.32 * 1.\nAnswer: 8442.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2663236 and 0.18.\nAnswer: 479382.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*j**5 + 56*j**5 - 119*j**5 + (-j**2 + j - j)*(-j**3 + 0*j**3 - 3*j**3) + 2*j**3 - 2*j**5 - 2*j**3.\nAnswer: -41*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33 + 133\/4. Let h(n) = 155*n + 634. Let v be h(-4). What is the second biggest value in w, -1, 0, v?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -129 * 3.\nAnswer: -387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from -67283.\nAnswer: -67282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 1, -0.29?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3 - 97*p**2 - 300*p.\nAnswer: p*(p - 100)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/13270422 and 70\/99?\nAnswer: 39811266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of -w**7\/8820 + w**6\/1260 + w**4\/6 - 2*w. Let y(v) be the third derivative of j(v). Let y(q) = 0. Calculate q.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -n**7\/14 + 3*n**6\/10 - 9*n**5\/20 + n**4\/4 - n. Suppose p(x) = 0. Calculate x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/3 + (-270)\/(-81). Solve 4*p - 4*u = 0, 20 = -h*p - 0*u - u for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04 and -0.003.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 10*f**2 + 23*f + 8. Let i be p(-4). Suppose 3*s = -5*m + 594, -i = -m + 3*s + 32. Does 19 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-8) + 3\/6. Suppose x*s + 1 = -s, 4*s = 5*b - 29. What is the remainder when (-2 + -1)\/(3\/(-8)) is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (1 + 1) - (-6 - -5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4862946427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 3:30 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 13*f**2 - 151*f - 45. Let g be c(13). Solve g = 7*q + 126 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9420 = -6*a - 9*a. Is 41 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4226 = -p - 4*s, 139*s - 144*s + 21250 = 5*p. Calculate the remainder when p is divided by 41.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 - (-6 + (19 - (-12 + 51)) + 21)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(4*(-3)\/(-18)). Let t be r\/4 + 2\/(-4). Solve -2*x - 3 = t for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007318984 rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 58050.46438 rounded to the nearest integer?\nAnswer: 58050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of 1\/21*m**4 - 4*m**2 - 1\/210*m**5 - 4\/21*m**3 + 0 + 0*m. Factor c(o).\nAnswer: -2*(o - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of 887*n**6\/30 - 2249*n**4\/6 - n**3\/3 + n - 3820. Find the third derivative of o(z) wrt z.\nAnswer: 21288*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 50\/101? (a) -2 (b) 16 (c) -3 (d) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1214 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112\/4956*(-11387)\/(-1158).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -4, -1024.\nAnswer: -1024, -4, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(11) + sqrt(22)\/sqrt(2))*3)**2*-2.\nAnswer: -3960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 269902750 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s + 1. Let j be 0 + 2 - -1*3. Let b(d) = d. Let k be b(j). Suppose -k*n = -n. Calculate o(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 1469 = -n, 0 = -0*t + t + 4. Suppose -5*a + d = -1447, 0*a + 5*d = -5*a + n. Let c = a + -153. What are the prime factors of c?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2085+0.1\nAnswer: -2084.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 75 = x, -11*x - a + 318 = -6*x. What is the remainder when 115 is divided by x?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - (1 - 4) - 78\/(-52). Let p = 0.609 + -0.409. What is the closest to p in -3, j, 36?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**27*t*t**(5\/3))\/((t*t**(-2\/15)\/t)\/t**(-15)) assuming t is positive.\nAnswer: t**(79\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3705 - 3651. Calculate the highest common factor of 1362 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-206)\/2884 + (-43597)\/(-14). What is the highest common factor of 198 and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 1\/6 (b) 2\/5 (c) -5 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 + 31. What is the second biggest value in j, -4, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (20 - (19 - -35116))\/(1\/4). Round o to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/(-6)*(-1)\/3. Which is the closest to 1\/2? (a) g (b) -3\/2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 2 + 0)*(-1 + 3 - 1) + 2 - 6 + 1)*(29*v**4 - 23*v**4 + 19*v**4) to the form b*v + y*v**2 + a*v**3 + g*v**4 + f and give g.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28.282 - 28.182. Which is the fourth smallest value? (a) 5 (b) 46 (c) f (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lbssbbsbsb. What is prob of sequence ssbs?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 44, 94, 144, 194?\n\"Answer: 50*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of 0*n - 17 + 10\/3*n**3 - 4*n**2. Find the second derivative of d(m) wrt m.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -6*r - 15. Let h(s) = 12*s + 29. Let f(l) = -4*h(l) - 7*t(l). What is the derivative of f(o) wrt o?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -236.876 to 0 decimal places.\nAnswer: -237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -0*g. Let a(t) = t**3 - 55*t**2 + 104*t + 113. Let q be a(53). Suppose 7*y = q, 5*y = -5*s + 7*y + 18. Solve -b + s*b = g for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2 = 5*c - 9, -3*y = c - 11. Find the third derivative of 4*s**2 - 5*s**y + 4*s**4 - 6*s**2 wrt s.\nAnswer: -24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of b**4\/4 + 7*b**3\/3 - 13*b**2\/2 - 7*b + 640. Suppose l + 4 = -w, -2*l - 19 + 60 = -5*w. List the prime factors of f(w).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28 + 114. Suppose -16 - 71 = -5*b + 2*i, 5*b - r = i. Suppose p = -0*p - m + 69, 4*p - 3*m - 262 = 0. Calculate the remainder when p is divided by b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/((-98)\/292)*(-3605)\/1030)\/(3*1).\nAnswer: 73\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/(-10) - 8\/400*5. Which is smaller: 3\/428 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 930 and 186.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 609.2 * 586.\nAnswer: 356991.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 251 - 216. Suppose -131 + 450 = 11*a. Solve 3*s - a = -n for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -377, 4, 374 in descending order.\nAnswer: 374, 4, -377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 15*h**2 - 30. Calculate q(-15).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 5. Suppose -u + r = 2*t - 16, -3*u - 9 = -3*t. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(7) + 0))**2 + 0 + 1.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 2 + -1 + 1. Suppose 0 = -6*i + 151 - 1. Suppose 2*h + 2*h + p - i = 0, 3*h + 4*p - 35 = 0. Solve 2*g = h*w - 2, g - j = 5*w + 3*g for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0577616*-11.\nAnswer: -0.6353776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 143*l + 28. Let q be z(16). Let a = 1229 + q. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 207346.\nAnswer: 622038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5825?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 200112 (base 3) to base 9\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 10585.5 and 33568277?\nAnswer: 33557691.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2321\/(-844)*(-3)\/(-66). Which is the nearest to -60? (a) -1\/12 (b) 2\/7 (c) j (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24928029 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 111 + 99 = 0. Let a = -1 - -6. Suppose -a*o - 22 = -52. Solve -f*r + 2 = o for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 5*h - 3. Give i(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 36*m**2. Let d(w) = 632285*w**2. Calculate c(d(l)).\nAnswer: 14392235564100*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of r**5*w**2 - 128*r**4*w**2 + 5*r**2*w**2 + 31*r wrt r?\nAnswer: 60*r**2*w**2 - 3072*r*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 12:15 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.232 and 17.19196?\nAnswer: 3.98853472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 10*i + 10. Let g be n(9). Let w(z) = -5*z + 1. Let r be w(g). What is the units digit of 3\/2 - 42\/r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of a**6\/120 - a**5\/30 + a**4\/3 - 7*a**3\/6 + 49*a**2 - 3. Suppose -2*j = -j - 5. Is c(j) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -73756, -147510, -221264, -295018, -368772?\n\"Answer: -73754*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6101 (base 7) in base 11?\nAnswer: -1647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r - a + 7, -122*r + 129*r = -5*a + 22 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15863 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11768 and -0.8777?\nAnswer: 10328.7736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + (-1)\/(-1))*3\/(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 57841 + -8919. List the prime factors of x.\nAnswer: 2, 61, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 20*j**2 + 8*j + 19. Let q = -20 - -40. Is a(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -52976*k - 31 + 11*k**3 + 53342*k + 31 as r*k + t + y*k**3 + o*k**2 and give r.\nAnswer: 366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*f**2 + 40902*f - 42196*f + 9*f**2)*(0*f + 0*f + 2*f) to y + u*f**3 + w*f**2 + c*f and give u.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 8:46 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1380410*a - 3189426.\nAnswer: -1380410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63082?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6735 + -6731. Solve 2469*o - 2470*o = r for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*c - 97*c + 4824. Calculate the smallest common multiple of 81 and c.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -69842444?\nAnswer: -3\/69842444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40 - 14. Suppose -5*a - 46 = 5*g - 16, 2*a + 14 = -3*g. Let d = f + a. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2288 + 476 + 5610 + 9440 + 927 + 1179)*(f - 3*f - 2*f) to x + k*f and give k.\nAnswer: -79680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.633914ng to kilograms.\nAnswer: 0.000000000000633914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -102 - -109. Let h(n) = 4*n - 1. Let p(r) be the first derivative of -r**2 - 2. Calculate w*p(l) + 4*h(l).\nAnswer: 2*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -5, -0.29, -1\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 4 + 7)*(68*q + 70*q - 160*q) in the form u + w*q and give w.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 12:07 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53165, -107498, -161831, -216164, -270497, -324830?\nAnswer: -379163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 less than -23.5564837?\nAnswer: -5.5564837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 3)\/(3\/2). Let k = 180153 - 180158. Which is the closest to 0? (a) u (b) 0.7 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -4*q**3 - 8*q**2 - 681*q. Let c(y) = -3*y**3 - 5*y**2 - 453*y. Give -8*c(n) + 5*h(n).\nAnswer: 4*n**3 + 219*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + 6 - -183*13. Let a = -76 + 81. Suppose a*u = -u + k. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28057.01l to millilitres.\nAnswer: 28057010","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -85 + 84.914. Let b = -1145.0961 - -1145. Let v = l - b. Round v to three decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37.107 - 37. Let o = -0.068 + h. Let j = -0.0389954 + o. What is j rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -693, -1404, -2115, -2826?\n\"Answer: -711*p + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*w + 4*w + 4*w)*(0 - 8 - 7)*(2 - 1 + 0)*(-4*w + 3*w - 6*w)*(-3*w - 3*w + 3*w) as c*w**2 + a*w + n + r*w**3 and give r.\nAnswer: -1260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*p - 6. Let s be -2 + p - (4 + 0). Is -1 + (-2 + s)*-17 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13313 - -13317. Let o(y) be the third derivative of 0 + 1\/12*y**p - 34*y**2 - 1\/60*y**6 + 0*y**5 + 0*y**3 + 0*y. Factor o(k).\nAnswer: -2*k*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -14*z**3 - 75*z**2 + 6. Let m(q) = -1. Let t = -67 - -68. Let g(p) = t*x(p) + 6*m(p). What is the third derivative of g(s) wrt s?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2 + 4726908*f + 4726907.\nAnswer: (f + 1)*(f + 4726907)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jxbtxxjijxxxiixj. Give prob of sequence xbii.\nAnswer: 1\/1040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*h**2 + 2)*(-962*h**2 + 639*h**2 - 560*h**2).\nAnswer: -1766*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + c**2 + 2*c - 378. Let k be y(0). Let a = k - -406. What is the greatest common divisor of 14 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -14 (b) -5\/3 (c) 3 (d) 0 (e) 0.3 (f) -3\/394\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12173.45 + -10672. Let u = 1463 - s. What is u rounded to 0 dps?\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -360 - -144. Let z = u + 435. Is 13 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 27 + 223. Suppose h = 8*h - w. Solve 1 + h = 3*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2290 (base 16) to base 9.\nAnswer: 13121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.026021 rounded to four decimal places?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/12*22*2. Let m = -7 + g. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193636141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 434896 and 8119.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*w**2 - 55*w**2 + 105*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 536, 5, -4, -2 in decreasing order.\nAnswer: 536, 5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhrhrrh. Give prob of sequence rh.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2121 + -3?\nAnswer: 2117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {n: 4, s: 1, w: 3, k: 3}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3 (b) -2 (c) -0.01 (d) 3 (e) -1.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**2\/2 - 159*h + 8427\/2 = 0. What is h?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 9*c + 23. Let m be (-3 - (-6)\/57) + (-22)\/209. What is x(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5815785 is divided by 1081?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of 1\/735*l**7 + 0*l**4 + 0*l + 0 - 44*l**2 + 1\/210*l**6 + 0*l**3 + 1\/210*l**5. Factor s(j).\nAnswer: 2*j**2*(j + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**2 - 32*q - 32. Give b(15).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5 = 4*k - 2, 3*m + 9 = -5*k. Let a be 1 + k + 65\/(-15) + 4. Solve 2\/3*c**3 - 7\/3*c**2 + c**4 + 0 + a*c = 0 for c.\nAnswer: -2, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 0.09245, 0 in decreasing order.\nAnswer: 0.09245, 0, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -588.3, -3\/5, 10 in decreasing order.\nAnswer: 10, -3\/5, -588.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1699*y**3 + 2009 with respect to y.\nAnswer: 5097*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -27*(-2)\/15)*1.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*c - 32*c. Solve -1 = -j - c for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3816, 7631, 11446?\n\"Answer: 3815*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (66466*b + 63683*b + 112247*b)*(3 - 2 + 1) in the form s + i*b and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - 0\/(-2)) + 9. Suppose -5*j - 4*b = b - 15, 3*j + b = a. Suppose -h = -j*h - 300000. Round h to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 21302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3834612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -94 (base 11) to base 12\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -6. Suppose 0 = 5*m + 2*p - 15, p + 0 = -3*m + 8. Let i be ((-20)\/55)\/(m*2). Which is the closest to 1? (a) i (b) v (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -299*o = -53*o + 11942 + 1834 for o.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 1 = u, 2*u + 52*b = 56*b for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-70))\/2 + 113\/8962030*-5302?\nAnswer: -1\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -21, -50, -81, -114?\n\"Answer: -g**2 - 26*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 275147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 5*c = 25. What is the remainder when 26 is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6980.4, -5, 2, 4\/3, 0.2?\nAnswer: -6980.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 3:49 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -126*g + 256. Let d be r(2). Suppose 13*k - 14*k = 0. What is c in 0*c + 1\/3*c**d - 1\/3*c**3 - 2*c**2 + k = 0?\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -65 - -184. Calculate the remainder when -1 + p - 24\/24 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d**2 + 6*d + 8. Let y(n) = -2*n**2 - 4*n - 5. Suppose -6*m = 3*m + 45. Give m*w(f) - 8*y(f).\nAnswer: f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 83.03 + -41.22. Round l to zero decimal places.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -48\/49 and (-4 + 4735\/1195)*24\/(-336).\nAnswer: 23422","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b + 13. Let f(k) = k + 7. Let x = 25 - 28. Calculate x*c(w) + 5*f(w).\nAnswer: -w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**3 + b**3 - 4*b**3)*(-3*b**2 + 2*b**2 - 3*b**2) - 3*b**5 + 3*b**5 - 4*b**5.\nAnswer: 4*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -51133201 + -440?\nAnswer: -51133641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3*v**3 - 9*v**2 - 9*v. Let y(t) = -9*t**3 - 18*t**3 + 26*t**3. Let b(w) = -q(w) + 2*y(w). Let i be ((-24)\/9)\/(2\/6). Calculate b(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 + -18. Suppose i = -5*j + 9. Let k(t) = 56*t**2 + 2*t - 1. What is the units digit of k(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 14) to base 7\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9826331611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*q - 2226 + 48. Calculate the highest common divisor of q and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of 83*h**6\/6 + h**4 - 392*h**3 - 2030. What is the third derivative of u(y) wrt y?\nAnswer: 4980*y**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*o - 83*o = 192. Let n(y) = -30*y. Let j be n(-1). Let r = o - j. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.24 - 0.2382. What is v rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -12*f**2 + 4*f. Let b(i) = 137*i**2 - 20*i + 5. Let z(u) = -80*u**2 + 11*u - 3. Let c(v) = -3*b(v) - 5*z(v). Give -4*c(w) + 5*s(w).\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*l - 24*l - 60. Suppose -7*a = l*a - 6828. Is 21 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2430 and 1396105470.\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x + 1079 = -253. Let y = -4 - -20. What is the remainder when x is divided by y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (110\/24 - 2)*-2 and (-1 + (-4)\/(-6))\/((-6)\/(-117)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 2, l: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 5:56 AM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (425\/60)\/85*72?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t + 1. Let j(k) = -29*k**2 + 3*k - 3. Give -3*f(s) - j(s).\nAnswer: 29*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-8 - -15) + -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -3620 (b) 9 (c) 2\/3 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 200357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + 20*k - 80. Let m(i) = -21*i - 153. Let u be m(-8). Is d(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -301\/12 - -25. Suppose -6*h + 63 = -5*h + 5*o, -2*o - 288 = -5*h. Let u = h + -172\/3. Put i, -1, u in decreasing order.\nAnswer: u, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5512 and 2332?\nAnswer: 60632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/662 and -73\/18.\nAnswer: 5958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - x, -x + 18 = 5*n + 3*x. Factor 75*s**n + 3*s**5 + 16*s**4 + 33*s**3 + 24*s**3 + 12 + 5*s**4 + 48*s.\nAnswer: 3*(s + 1)**3*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**4\/4 - 8277*c**3 - 32120997*c**2\/4 + 8038527*c = 0. What is c?\nAnswer: -9961, -1076, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -132 - -42. Let z be -8 - -5 - (-1 + l). What is the greatest common divisor of z and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1814540 and 95550?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = 3*g - 23, 5*j - g + 15 - 34 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67602, 67842, 68082, 68322?\nAnswer: 68562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.09 + 0.11. Let i = g + -0.16. Let s = 0.14000018 + i. What is s rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4 - n + 4*n**5 + 2*n**2 + 0*n**5 + 2*n**2 + 6 wrt n.\nAnswer: 80*n**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 3*o - 7*o = -84, 3*q + 4*o = -24. Let k(v) = -v**3 - 12*v**2 - v - 19. What is k(q)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -1722*n**2 + 99*n - 12169. Let z(l) = -l**2 + 10*l + 1. Let y(g) = -r(g) + 10*z(g). Differentiate y(k) with respect to k.\nAnswer: 3424*k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1133352811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 417 divide 717657?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, m: 1, b: 2, x: 1, w: 1}. What is prob of picking 1 i and 1 w?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110100000010001 - 100?\nAnswer: -110100000010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 - -16. Solve 0 = -o*x + x + 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 1. Let f(y) be the second derivative of 5*y**3\/6 - 4*y. Let u(j) = 3*f(j) - 15*m(j). Differentiate u(q) with respect to q.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 7) in base 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3863288?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - (1 + 964\/944). Let b = g + -6239\/708. Calculate the common denominator of b and ((-540)\/(-252))\/(48\/105*-16).\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 3*o + 4*o + 3 = 0, 0 = 4*s - o - 12 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14803\/5 - 2960. Which is the second smallest value? (a) k (b) -1\/5 (c) -2\/39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 + -28. Let x be (8 - a) + -3 + 0. Solve x*n + 1 = -3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 9, d: 4, e: 3}. What is prob of picking 2 e?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-3)\/(-10))*((-8064)\/420)\/12?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + (0 + sqrt(17))*4 + (3 + 6*(sqrt(17) - sqrt(272)))**2).\nAnswer: -520*sqrt(17) + 27580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + 1 + (-3 + 3 - 1)*(-7 + 33 + 2))*(10*f - 10 + 10) to the form y*f + p and give y.\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -471 - -532. Calculate the remainder when 4024 is divided by v.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of 7\/3*k**3 + 6 - 2*k**2 + 1\/4*k**4 + 6*k. List the prime factors of b(-7).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39800 is divided by 19636?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2197*v = -107591 + 29345 + 29579 - 91941 for v.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(8\/5)\/n)\/n)\/(n\/(n*n*n*n**12\/n)) assuming n is positive.\nAnswer: n**(63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a*a**10\/a))*a*a)\/a**(-12))\/(a\/(a*a**(-1\/10))*a*a)**(1\/12) assuming a is positive.\nAnswer: a**(953\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -77 - -113. Let x = y + 172. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -1 - (-5 - (1 + -3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 80 = -2*t. Suppose 5*b + t = 4*h - 3*h, -5*b = 3*h. Suppose h*d - 2 = 43. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 19678422, -4 in descending order.\nAnswer: 19678422, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 5 (c) -6 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -0.9 (c) 3 (d) -40\/259 (e) 0.14 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -111*l**2 - 15*l + 10. Let n(z) = -56*z**2 - 7*z + 5. Let m(f) = -5*n(f) + 2*r(f). Is m(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4*26)\/4 - -4. Let c be u\/75 + 166\/10. Solve -t - 5 = x, -3*t + 5*x - c = -2 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39191510 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1093, -4372, -9833, -17476, -27301?\nAnswer: -39308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 4 + 4)*-1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2070.123 millennia in years?\nAnswer: 2070123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 44187624 to the power of 1\/2, to the nearest integer?\nAnswer: 6647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 82*n**4 - 351?\nAnswer: 328*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = 5*s + 61, 4*k - 49 = 40*s - 35*s for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-9))\/((-11)\/(-33)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 37?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1230*a - 400614 = 7036*a for a.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 575 + -725. Let k = f - -134. Suppose 4*h - 2 = 14, 5*a + 2*h - 33 = 0. Sort -5, a, k in decreasing order.\nAnswer: a, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -177*d**2*r**3 - 179*d**2 - 6*r**3 + 6*r**2 wrt r?\nAnswer: -1062*d**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4155342 to the nearest integer?\nAnswer: 2038","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(3\/14)\/y)\/y**(11\/7))\/(y\/(y\/((y\/(y\/y**(1\/12)))\/y))*y**(2\/5)*y) assuming y is positive.\nAnswer: y**(-353\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/6 (b) -3.1 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - 8 - (-17 - (-43 + 10))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w + 15. Suppose -8*z + 4*z = -40. Let p be g(z). Let l(a) = a**2 + 14*a - 19. Let h be l(-15). Sort p, h, 0.\nAnswer: h, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/5)*f\/f**(3\/5)*(f*f**(-1\/2))**(1\/20) assuming f is positive.\nAnswer: f**(9\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z**2 + 99480*z = 0 for z.\nAnswer: -19896, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 7*o + 12. Determine v(9).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 260.1625 days in minutes?\nAnswer: 374634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42540 divided by 20.\nAnswer: 2127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.222 and -0.112?\nAnswer: 0.334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1438195756 to the nearest integer?\nAnswer: 1129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 539938023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -65\/2451 (b) 0.27 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.7 + 1.96. Let b = d + -0.06. What is the third smallest value in 0, 4, b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8697\/8 - -1084. Calculate the common denominator of -2 - 190\/(-56)*2 and r.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -19 + (44 - 37) - (-41 - 4).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sfvsffsvsssffsf. Give prob of picking 2 v and 1 s.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -585*a - 56. Let m be t(-3). Let p = m + -995. List the prime factors of p.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5315*i**2*y**2 + 500*i*y**2 + 7*y**2 + 1 wrt i?\nAnswer: 10630*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 146, 589, 1306, 2255, 3394?\n\"Answer: -7*d**3 + 179*d**2 - 45*d + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 5*d**2 + d + 1. Let g(x) = 638*x**2 + 5*x + 6. Determine -g(o) + 6*t(o).\nAnswer: -608*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -222 - 3*r**2 + 236 - r**2 to o*r**2 + y + l*r and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4983 and 4004.\nAnswer: 8987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(1775\/2130)\/((-1)\/(-6))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.3, 2.2, 4 in ascending order.\nAnswer: -2.3, 2.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -6, 80.95, -0.3?\nAnswer: 80.95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187 = -11952*m + 11969*m for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -686642, -686662, -686702, -686768, -686866, -687002, -687182?\nAnswer: -687412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11776, -11275, -10764, -10237, -9688, -9111, -8500?\nAnswer: -7849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 10 - 5*z**2 + 3*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 84 + -89. Which is the fourth smallest value? (a) -1 (b) 0.3 (c) m (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand b + 2 + b + 2*b + (-10 + 0 - 2)*(-4*b - 2*b + 3*b)*(-6 - 29 + 15).\nAnswer: -716*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 11:52 PM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and -530.6.\nAnswer: -535.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w**4\/5 - 2804*w**3 + 46888*w**2\/5 + 205968*w\/5 + 22464 = 0.\nAnswer: -2340, -2, -2\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.4 - -6. Let x = -11\/5 + 39\/20. What is the nearest to 1 in 3, x, k?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -1. Calculate the least common multiple of b and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1416*c**4 - 3*c**3 - 10863?\nAnswer: 5664*c**3 - 9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1520 and 120.\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*u - 89*u + 638 = 0 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 520*o**3 - o**2 - o + 3. Is a(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o + 7. Let u be l(-7). Suppose u = 4*z - 9 + 1. Suppose -z*m + 2 = -2*j, m + 29 = 6*m + 3*j. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10864187 is divided by 276?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 4.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 27, -54, -207, -456, -825, -1338, -2019?\nAnswer: -2892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1599.\nAnswer: 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -221*r**2 + 1807*r + 36. Determine x(8).\nAnswer: 348","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2231222 - -11?\nAnswer: 2231233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 12 = 4*p, -u - 3*p + 1 - 5 = 0. What is the third derivative of 5*v**2 - 3*v**3 - 3*v**2 + v**2 - v**u wrt v?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1590)\/24 + ((-715)\/(-3575))\/((-8)\/(-10)).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.25 * -5182094.\nAnswer: 1295523.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dtndtwtdwdvtytt. Give prob of sequence ttv.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 2*t - 4*c - 11, 0 = 3*t - c - 6. Solve -4*j = 3 + t for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -4976\nAnswer: -1\/1244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 850, 1962, 3066, 4162, 5250, 6330?\nAnswer: 7402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27443\/44 - 624. Find the common denominator of w and -29\/33.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 6*x - 90. Suppose 0*u = -5*u + x. What is the least common multiple of u and 11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 420 (b) 1\/7 (c) 1\/4 (d) -23 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189 = -12*x + 15*x. Let n = -59 - x. Solve 0 = -b + 1 + n for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 142924 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**3 + 2*r**2 + 6*r. Let f(v) be the second derivative of -v**5\/10 - v**4\/6 - 5*v**3\/6 + 198*v - 1. What is 5*b(c) + 6*f(c)?\nAnswer: -2*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) -8\/9 (c) 0.01 (d) -2\/5 (e) 7.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**5 - j**4 + 5*j**3 - 3*j**2 = 0. Calculate j.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3*(sqrt(88) + sqrt(88) + (sqrt(88) - (sqrt(88) - (sqrt(88) - sqrt(88)*-1*1)))))\/(6*(sqrt(648) + sqrt(648) + (sqrt(648)*1 - sqrt(648)))) + -1.\nAnswer: -4*sqrt(11)\/9 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*m + 19*m - 7*m - 3)*(4 + 35*m**4 + 8 - 33*m**4).\nAnswer: 6*m**5 - 6*m**4 + 36*m - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/5 (b) -1\/3 (c) -1\/4 (d) 7\/10 (e) 452\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 310*q - 96*q**4 - 30*q**4 + 266*q - 350*q wrt q?\nAnswer: -1512*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1251784, -0.2, 21?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 2. Suppose -k + h = 0, -3*a + 2*k = -0*k - 4. Let j(t) = -17*t**2 + 17*t - 17. Let g(p) = -6*p**2 + 6*p - 6. Determine a*j(r) - 11*g(r).\nAnswer: -2*r**2 + 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -12*i + 35*i - 5*i - 6*i. Determine f(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4*q + 7. Determine y(5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fnttkktt. Give prob of sequence fk.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3084866253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 74185*a**2*g**2 - 5*a**2*g - 4*a - 345*g wrt g.\nAnswer: 148370*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 135085101 to the power of 1\/3, to the nearest integer?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, s: 1, d: 4, t: 2}. What is prob of sequence tt?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1639212?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -d + 4*d. Which is the nearest to 0.3? (a) -1 (b) 0.5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -312, -640, -1046, -1530, -2092, -2732, -3450?\nAnswer: -4246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (8 - (21 - 8)) + (1 - -8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 27\/5 of a decade?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17433.\nAnswer: 3, 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.1 - -4.036. Let s = -13.136 + 13.6. Let k = l + s. What is k rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-89)\/1246)\/((-2)\/12). Factor 6\/7*m**3 - 3\/7*m + 0 - i*m**2.\nAnswer: 3*m*(m - 1)*(2*m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 22\/(-18) - 2.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/((-20)\/15) - (-9)\/12. Suppose -12*a + 88 + 404 = l. Calculate the remainder when 120 is divided by a.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 11 + -19 - (-30 - -11).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 7:53 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 988 - 78 = 5*y. Let a = -97 + y. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637)*-1 - (-2 + sqrt(117)))**2.\nAnswer: -40*sqrt(13) + 1304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -89 - 21. Let g = -73 - a. Let i be g - 4\/(16\/(-4)). What is the highest common divisor of i and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + -2)*3\/6. Let h(w) = 141*w**2 + 7*w + 7. Let q(c) = -37*c**2 - 2*c - 2. Let k(m) = -3*h(m) - 11*q(m). What is k(g)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*t - 30 = -0*t, y - 4*t = 24. Find the third derivative of -y*h + 2*h**2 + 12*h - 6*h**2 - 8*h**3 wrt h.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0053044 take away -0.8?\nAnswer: 0.8053044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(2\/9)\/z*z)\/z)**(5\/4)*z**(-15)\/z**(-38))**(-50) assuming z is positive.\nAnswer: z**(-19825\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -179*l + 236*l + 94. Which is bigger: 6\/2045 or l?\nAnswer: 6\/2045","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1603596287?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - o + 7578 = -w, 3*o = 4*w + 11357. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 + 7*x - 5. Let j be v(6). Suppose u - 2*s = -2*u + 1, 3*u = 4*s - 1. Let m = u + j. Which is smaller: 5\/6 or m?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -708 + 707. Is (-1 + 5 + a)*4078\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/12)\/(13\/(-351)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**2 + 5*j - 9. Suppose 5*o - 45 = -5. Let y be z(o). Suppose y = 6*x - 3*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -3. Let g = -127 + 135. Suppose -5*o = 4*a - 11, 2*a + 5*o - 21 = -g. Put 26, d, a in decreasing order.\nAnswer: 26, d, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1156 (base 8) in base 6?\nAnswer: 2514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 14*y**2 - 3. Let z(v) = -68*v**2 - 28*v - 33. Determine 5*b(g) + z(g).\nAnswer: 2*g**2 - 28*g - 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23 + -10 + 206516\/17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 10*h**2 - 2*h - 3. Let w(q) = -1. Give d(n) - 4*w(n).\nAnswer: -n**3 - 10*n**2 - 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -41*230\nAnswer: -9430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -7*l**3 - 11*l**3 + 42 + 28*l**3 + 18*l**2 - 9*l**3 - 27*l. What are the prime factors of q(-18)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -16 + -52a3260?\nAnswer: -52a3276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three fifths of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, j: 1, g: 1, d: 3, m: 2, f: 1}. What is prob of picking 2 d, 1 j, and 1 f?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -10. Suppose 5*m = -4*d + 27, -z*m - d = -6 - 9. Sort -2, -3, m in descending order.\nAnswer: m, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/4*z**2 - 1\/4 + 1\/2*z = 0. Calculate z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -211170877 by -5.\nAnswer: 211170877\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 11:36 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*y = -44669 + 9137. Calculate the greatest common factor of y and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1353 a factor of 14019786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -1\/193, -9 in decreasing order.\nAnswer: -1\/193, -0.3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.99+1379596812950\nAnswer: 1379596812949.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3800, 3799, 3798, 3797, 3796, 3795?\n\"Answer: -o + 3801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(140)\/sqrt(4) + sqrt(875) + sqrt(875)*2 + sqrt(875))\/(5*sqrt(80)*1).\nAnswer: 4*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 407 and 259.\nAnswer: 2849","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10749.343923 - 11306.34393027. Let s = -557 - d. What is s rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3123176089 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77885177 is divided by 3686?\nAnswer: 3683","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 358541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4663.\nAnswer: 4663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, q: 6, x: 2}. Give prob of sequence yxy.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -37910964.3 - 4\nAnswer: -37910968.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + y. Let p = -1 + 0. Suppose v + 20 = -4*r, 4 = -5*r + 10*v - 6*v. Let j(a) = -5*a**3 - 4*a. Calculate p*j(w) + r*f(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 12:16 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10.2 + 10.20081. Round u to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1188.237 or 258?\nAnswer: -1188.237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 30452, -1796 in descending order.\nAnswer: 30452, -2, -1796","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 3. Let u(z) = 334*z**2 - 6*z + 7. Let g be u(1). Suppose -g*o + 341*o - 12 = 0. Solve -y = -o*v + v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7315871267195 + -4?\nAnswer: 7315871267191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1306*a + 202 = 1497*a + 584 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -o**2\/9 + 4*o\/9 - 1\/3 = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227*u - 693*u - 330*u - 264*u - 293*u.\nAnswer: -1353*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6728, -3 in descending order.\nAnswer: 6728, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1299504673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -566 - -12?\nAnswer: -554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3a7b - 1?\nAnswer: 3a7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21064 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 - 78 - 31 = -12*o + 5*p, 4*p - 8*p = -2*o + 30 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*8\/6*(-15)\/300.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 95*m**2 - 5681*m. Let z(x) = -6*x. Give z(c(j)).\nAnswer: -570*j**2 + 34086*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5420775 and 1325.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 275 + -270. Suppose 7*q - 9*q + 76795 = -x*i, 0 = 2*q + 3*i - 76803. What is q rounded to the nearest 1000?\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(175) + 3 + 1*sqrt(175) + 4)**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*g + 2682 - 60 = 0. Calculate the greatest common factor of g and 345.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (782255\/36812)\/(3\/(48\/10)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 122, 456, 1004, 1766, 2742, 3932?\nAnswer: 5336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-444)\/(-320) + (-98)\/(-10) + 1397\/(-127)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(2057) + -1)**2 - -1*-1*sqrt(2057).\nAnswer: -33*sqrt(17) + 2058","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m**2 + 12*m**2 - 3 + 7*m**2 + 1.\nAnswer: 19*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/9 - 20\/3*k - 52\/9*k**2.\nAnswer: -4*(k + 1)*(13*k + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 73*x**2 - 170*x - 7108. Calculate j(-74).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*p**3 + 1 + 7*p - 8*p + 4*p**3 + 3*p**4 to o*p**2 + c*p + a + k*p**3 + v*p**4 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5)*m)\/(m*m*m*m**(-1\/2)*m*m) assuming m is positive.\nAnswer: m**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.63 - -3.01. Which is bigger: j or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.2 + 2.2. What is the third biggest value in 0.5, 2, j, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 12*z**2 + 10*z + 21. Let u be r(13). Let o = u + 509. List the prime factors of o.\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -539, -231, 81, 397, 717, 1041?\nAnswer: 1369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 19758262 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 29*i + 116. Let c be m(-5). Let x = -6.9 - -7. Let y = -0.5 + x. What is the fourth biggest value in 2\/11, c, y, 2\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 5:38 AM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 68*v - 19*v + 71 + 27. Let p(i) be the third derivative of -i**6\/20 + i**5\/60 - i**4\/8 - i**3\/2 + i**2. Does 5 divide p(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3205663 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 4*d + 5. Let u be k(6). Let g = -16 + u. What is the remainder when 36 is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m + 7. Let r be x(5). Suppose 2*g + r*g - 268 = 0. Let o = -59 + g. What is the remainder when 11 is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 12897600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sstmt. What is prob of picking 1 m and 1 t?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170859?\nAnswer: 3, 13, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67472, -66648, -65824, -65000?\nAnswer: -64176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95052 is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*l - 17*l - 17*l + 19*l + 39*l - 3.\nAnswer: 6*l - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -83462 and 4.\nAnswer: -83458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.3397 times -13\nAnswer: -4.4161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 2*f - 64 + 6, 2*m + 46 = 5*f. Let g be (-39)\/m + (-2)\/3. Suppose 0*c + g*c**3 - 3\/2*c**5 - 3\/2*c**2 + 3\/2*c**4 + 0 = 0. Calculate c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -159, -2, -5, -9, -1, 5 in descending order.\nAnswer: 5, 0, -1, -2, -5, -9, -159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -33, -32, -31?\n\"Answer: g - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence frgg when four letters picked without replacement from prrgrpfr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 528\/(-6171)*67\/(-536).\nAnswer: 2\/187","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 2*n - 12 = 0, 5*j + 2*n = 13 + 3. Suppose 0 = -j*d - 5*l - 11, 0 = -4*d - 2*l - 26. Let a = -26\/3 - d. What is the smallest value in a, -0.4, 0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6671, -12738, -18805?\nAnswer: -24872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4511420302 and 4.\nAnswer: 4511420306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 + 84 = -2*i. Suppose 3*f + 14 = 2*s - i, 0 = 4*s - 3*f - 53. Solve 2*r - 3 = 5*a, -a - s = a - 4*r for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 410821286 divided by -17\nAnswer: -24165958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1482 = 2147*y - 2109*y for y.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**2 + 4*v + 4. What is n(4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1137.558mm to nanometers.\nAnswer: 1137558000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30779 and 30779?\nAnswer: 30779","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -64529255292247 - -64529252088964.5399913. Let u = -3203418.46 - k. Let a = 136 + u. Round a to 6 dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 23*k - 19. Determine u(-5).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77382*r - 77396*r = -501396000. Round r to the nearest one hundred thousand.\nAnswer: 35800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1549 and 3?\nAnswer: 4647","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a. Suppose -116 - 28 = -4*h. Suppose -h = -5*r - 11. Let c(q) = r*q + 0*q + 0*q. What is -3*c(y) + 7*i(y)?\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -2*p**6\/15 + 11*p**5\/5 - 35*p**4\/3 + 50*p**3\/3 - 27*p + 1. Let f(l) = 0. Calculate l.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -36*u**2 + 2*u + 68.\nAnswer: -72*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in 0.5, 14, -0.1?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 866391 is divided by 288769?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -a**4\/12 + 5*a**3\/6 + 5*a**2\/2 + a. Let m be -1 - (-11)\/((-44)\/(-24)). Let d be w(m). Solve 0*r = -r - d for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 8) in base 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2809 is divided by 1403?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9265 is divided by 1802?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 88 = 3*f, 464*o - 14*f + 75 = 931*o - 464*o + 19*f for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6612\/(-6960)*40\/(-1).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - -66*(-10)\/100?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -7*l + 63. Let g(f) = 5280*f. Give g(d(h)).\nAnswer: -36960*h + 332640","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-5 - (-8 + 6 - -1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8929409?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14624\/7161 - -221\/77. Calculate the common denominator of 35\/12 and m.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59, 48, 35, 20, 3?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.88273 and 50.\nAnswer: -244.1365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1813 - 1733. Let z be (4 - y\/30)\/(6\/9). Let 4\/3*d**5 + 0*d**3 + 0 - 16\/3*d**z + 0*d + 4*d**4 = 0. Calculate d.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of r**4\/6 - r. Let q(z) = z - 7*z + 3*z. Determine q(x(a)).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -25*y**4 + 227*y. Let q(h) = 8*h. What is q(w(t))?\nAnswer: -2400*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**4 - 2285*q**3 - 15*q**2 + 6865*q - 4570.\nAnswer: 5*(q - 457)*(q - 1)**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12513 to the power of 1\/2, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -7. Suppose k*j + 3*f = 797, 4*j = 5*f - 3*f + 822. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.2 - -3. Let m = 2.79 - -0.41. Let s = m + f. Which is the third smallest value? (a) -1\/2 (b) -0.3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -473, -1308, -2701, -4652, -7161, -10228, -13853?\n\"Answer: -279*z**2 + 2*z - 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 19\/3 - (2 - 10\/6). Let l(z) = -a*z**2 + 11*z**2 + 10*z**2 + z**2. Let n(x) = -4*x**2. Calculate l(n(p)).\nAnswer: 256*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r - 4. Let x be a(-4). Suppose x = -5*g + 25. Solve -g*h = -q + 5, 0*h = -2*q - 2*h - 2 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 144?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 4*x. Suppose x*z = -z + 5. Let p(b) = b - 4. Let i be p(6). Solve -i*k = z - 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 911642 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 the remainder when 1310 is divided by 47?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2*1\/(-28)*378\/(-21)\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a year in months?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(304) + -2.\nAnswer: -7 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/(-18) + (-2)\/4. Let h = -7\/25 - -17\/25. Let l = 0.68 - -0.32. Which is the second smallest value? (a) n (b) l (c) h (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30466648 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 128 - 129. Which is the biggest value? (a) 1\/5 (b) v (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 35576 = 35616. Let h be 4\/(-42)*(-198)\/(-2). Is h less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17958 rounded to three dps?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, w: 1, s: 3, t: 4, b: 2, v: 2}. Give prob of picking 3 t and 1 w.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1775 and 76964?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6702.8*0.5.\nAnswer: -3351.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*x - 19*x - 3 + 25*x)*((2 + 0 + 0)*(0*x - 4*x + 3*x) + 0 + 0 - 2*x + 2*x - 10*x - x).\nAnswer: 13*x**2 + 39*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llll when four letters picked without replacement from {l: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 130 and 310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p - 21. Let b(z) be the third derivative of -z**4\/8 + 41*z**3\/6 + 32*z**2 - 3. Let g(q) = 3*b(q) + 5*o(q). Determine g(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 2695586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/((58 - 61)*4\/(-6))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1586708*r**3*v**3 + 2*r**3 - 63*r**2*v**4 - 204*r**2*v**2 + 76359*r**2 + 5*v wrt v?\nAnswer: -9520248*r**3 - 1512*r**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34723967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4*v - 6, 0*v + v + 7 = -4*s. Sort v, -3, 5 in descending order.\nAnswer: 5, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 4)*(0*l - 2*l + 0*l)*(-2*l + 3*l + 0*l).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of f**4\/4 - 22*f**3\/3 + f**2\/2 - 18*f + 3. Let m be x(22). Solve -3*q - m = q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2, 9, 34, 73, 126, 193, 274?\n\"Answer: 7*n**2 - 10*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 404*h. Let g(u) = u. Calculate m(g(n)).\nAnswer: 404*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*n**3 - 58*n**3 + 5*n**3 + (3*n + 3*n - 5*n)*(-74*n + 74*n - 101*n**2) as k*n**2 + u*n + a + f*n**3 and give f.\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 491.0148mm to kilometers.\nAnswer: 0.0004910148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*4*((4 + 1 + sqrt(128) + sqrt(128) - (-2*sqrt(128) - sqrt(128))*3 - (sqrt(128) + sqrt(128) + -1 + 4 + -4))*2)**2.\nAnswer: 69120*sqrt(2) + 832320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-29 - (-24 - 7))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/50 and -63\/20?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5991353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*x - 58*x = s + 1275, -x + 650 = 2*s. Does 16 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*3*(98\/7)\/7. Let o(f) = f**3 - 11*f**2 - 11*f - 12. Let p be o(k). Suppose 6*m - 4*m + 126000 = p. What is m rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/11, -0.1, 311?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23501 - -1121?\nAnswer: -22340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 262 divide 13599134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of 49*y**4\/6 - 11*y**3\/6 + 14*y**2 - 59*y. Is s(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 13*j. Suppose 0 = 53*b - 58*b + 20. Let y be (-56)\/(-21) + b\/(-6). Let k(s) = 126 - 126 - y*s. Determine k(c(f)).\nAnswer: -26*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/15 and 248\/20*(-4)\/(-24)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 12 = -4*y - r, -5*y + 5*r = -40. Suppose -y*g + 30 = i, -5*i + 3 = -7. Let d be (5 - 17)*(-42)\/9. What is the highest common factor of d and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 893102109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and 0.02593.\nAnswer: -0.47407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, v: 3, u: 5}. Give prob of sequence vuu.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 39463843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 17 = -10*s + l, 28 = -5*s - l. Sort 27, 4, 47, s.\nAnswer: s, 4, 27, 47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 5*p**2 - 3*p - 16. Let y be q(6). Determine r, given that 37 - 31 + 33*r**y + 36*r - 3 = 0.\nAnswer: -1, -1\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -21, -29, -39?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/4*-4*594\/162.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 1978?\nAnswer: 1979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 328579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 92\/613 + -996187\/8582. Let m = -231\/2 - k. Suppose 3\/7*u**3 + 3\/7*u**2 - 3\/7 - m*u = 0. What is u?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 20334?\nAnswer: -20341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-52 + 26 - -57) + 53 - 15?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 50382, 100837, 151292, 201747, 252202, 302657?\n\"Answer: 50455*h - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13098 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35597 (base 11) to base 3.\nAnswer: 2121100121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*v**2 - 48 - 57*v + 113*v + 47*v + 48 - 94*v**2.\nAnswer: v**2 + 103*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 303\/(-202)*(-5)\/(-6)*4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2850766 is divided by 1211?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (81*w + 111 - 111)*(-93*w**2 - 30*w**2 + 2*w**2).\nAnswer: -9801*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -35 (b) 3\/4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**0*l)\/l)**24*l*l**5*l*l**(-4) assuming l is positive.\nAnswer: l**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 21 = 9. Suppose 0 = -0*h - c*h + 54. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-3))\/(3\/(6\/(-8)))*(-54516)\/(-804111).\nAnswer: -2\/177","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 164 - 2b1d?\nAnswer: -2999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.216992 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1775.8 - -1616. What is o rounded to the nearest integer?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uffu when four letters picked without replacement from yuuyfyfuuflyfyf.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -119 by -7.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**2 - 18*r - 17. Let z be o(-7). What is the tens digit of ((-644)\/2 - (7 - z))\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -143446 - -1291018\/9. Let r = 3.91 + 0.09. Sort p, 47, r in increasing order.\nAnswer: p, r, 47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -643 - 882 = 43*c - 63 for c.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6331, 6899, 8441, 11443, 16391, 23771?\nAnswer: 34069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 35497 + 17354 = 0. Let l = r + -281965\/16. Calculate the common denominator of 82\/12 + (-2)\/6 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -362 + 362. Suppose -76 = -4*r + 5*t, -2*r + l*r - 2*t + 20 = 0. Factor -2\/7 + 4*y - r*y**2.\nAnswer: -2*(7*y - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/2102641?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 51330.5395 - 10.5395. Let k = n - 51286.017. Let d = k - 34. What is d rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 104 + -60. Calculate the greatest common factor of t and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/27 and -29\/12.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(0 + sqrt(637))*-6*1)**2 + ((sqrt(637) + -2*sqrt(637))**2*-4 - (5 + -2*sqrt(637))**2)*2.\nAnswer: 280*sqrt(13) + 81486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**2 + 2*h**3 - 16*h**3 - 3*h**2.\nAnswer: -14*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - 4*z**2 + 4*z - 1. Let g be l(-5). Let p = g + -5. Calculate the remainder when -1 - p - (-2 + -31) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 7:55 PM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0*w + 2*t - 6 = 0, 0 = 5*w - 4*t. Suppose 2*z - w = -0. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.457 - 0.543. What is the nearest to -2\/5 in 0.08, j, 40?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 7:53 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 12 - 4*l + 30 - 13.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7496004*g**3*u - 21*g**2*u + 63*g**2 - 627*g - 4*u - 1 wrt g?\nAnswer: -44976024*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**(-1\/10)))**(-15)*(a**(-1))**13 assuming a is positive.\nAnswer: a**(-29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50330, -49968, -49596, -49208, -48798, -48360, -47888, -47376?\nAnswer: -46818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 130.0451 rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-4)*(36\/6)\/(-30)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 533*r**2 + 3*r + 2. Let h be t(-2). Let m(s) = 49*s**2 - 6*s + 12. Let v be m(-3). Let i = h - v. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7900\/(-455))\/(12\/(-42)) - (-12)\/52*1?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (10\/3)\/((0 + 9)\/189) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 52 + 4 + 17*b - 2*b - 11*b - 7*b. Let l be k(8). Solve 3*f = -2*m + 2, 4*m = 4*f - f - l for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b + 4*b + 0*b - b**2. Let l(k) = k**2 - 6*k. Suppose 0 = 145*i - 149*i + 8. Let v be (i - 3)\/(1 - 0). Calculate v*l(t) - 6*s(t).\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -19546, 0.4, 5?\nAnswer: -19546","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-76)\/42 - (-24)\/21)\/(7 - 1770\/252)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 842.83 to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1140.0527754 rounded to two decimal places?\nAnswer: 1140.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 16) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 186, 328, 402, 408, 346, 216, 18?\n\"Answer: -34*l**2 + 244*l - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7148950753?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 17. Suppose -2*w + 3 = -5*v - 7, -d*v - 40 = -5*w. Is 4\/10 + 256\/w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.093883 take away 17.91813?\nAnswer: -17.824247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 - ((9 - 20) + -3 + 19 + -9).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/54 and 7\/36264.\nAnswer: 326376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 10, n: 4}. What is prob of sequence nnm?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/3)*(b**5\/b)\/b)**(-32)*(b**1*b)**(3\/4)\/(b\/(b\/(b\/((b**(4\/9)*b)\/b)))*b**(-2\/13)) assuming b is positive.\nAnswer: b**(-24703\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(72)\/(-2*sqrt(726) - sqrt(726))*-4 - (2 + (sqrt(6)\/sqrt(2) + -2 + -3 + -3)**2).\nAnswer: -69 + 536*sqrt(3)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (27\/6)\/9*8\/(-6)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*w = -8. Suppose -w*l = -l - 234. Let a = -107 + l. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -92*n - 3\/2*n**2 + 1\/2*n**3 + 0. Determine h(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 3*z**2 - 1644*z - 4934. What is r(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) - (sqrt(162) - (2 + sqrt(162))))**2 - sqrt(2))*-2.\nAnswer: -332 - 70*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-130)\/(-25) - (-60)\/(-50). Let y be 4\/((-2)\/4*-2). Find n, given that -11*n**m + 6*n**2 - 14*n**y + 28*n**4 + 9*n**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from imizzimiizmim?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10874 - -25889. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/4)*(i*i**(-16)*i)\/i assuming i is positive.\nAnswer: i**(-61\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -136 - -56. Let o be 2\/3 + p\/12. Let x(b) = -b**2 - 6*b**2 + 8*b**2 + 5*b + 0*b**2. Give x(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 9, 5 in increasing order.\nAnswer: 5, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y = -21*y + 10. Suppose -2*g + 36 = 2*g + 4*f, g + y*f = 4. Solve -7*l = -3*l - s + g, 2*l = 4*s for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyxx when four letters picked without replacement from {y: 6, x: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a + 0*a - a + 2)*(-5*a**4 + 0*a**4 + 4*a**4).\nAnswer: -4*a**5 - 2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - 12*m - 30. Let v be h(-5). Suppose -2*y - 1 = 3*t, 3*t - 2*t - 4 = -5*y. Let c be 0 - -7 - (1 - t). Solve c*f + v = -0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 7:58 PM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/6 + (-1455)\/90 + 21. Solve 2*l = 5*x - 18 - 1, -4*l - r*x + 4 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 47 = 17. Calculate the greatest common divisor of l and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 - -15. Let g be (-5 - (0 + j))\/(8\/(-4)). Factor -5*p**4 - 6*p**g + 14 - 11*p**3 - 6*p**3 - 14.\nAnswer: -p**2*(p + 3)*(5*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 - 86*r**2 + 37*r**2 - 6 - 8 - 2 in the form p*r + s + i*r**2 and give i.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (-6 + (1 - 7) + (-31 - -44) - -7)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -21123554 (base 8) in base 9?\nAnswer: -8416801","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (149\/((-14900)\/(-21600)))\/2.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**4*m\/(m**(-21)*m))**(-41))**27 assuming m is positive.\nAnswer: m**(-27675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -4*r - r**3 + 3 + 2*r**2 + 3*r + 3*r. Let n be o(3). Solve -q + n = -2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in fourty-four fifths of a millennium?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.039017 + 0.039. Round a to six decimal places.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 554704.5ms?\nAnswer: 554.7045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15232 - 43?\nAnswer: -15305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = -6*s + 359. Suppose 2*d - s = -5*t + 30, t + 23 = d. Is 7 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*z + 2*g + 0*g = 30*z + 10, 40*g = z + 200 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -15747997?\nAnswer: -5\/15747997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -52*a**3 + 13*a**2. Let f(s) = 13*s**3 - 3*s**2. What is -26*f(n) - 6*p(n)?\nAnswer: -26*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.482 - -2.492. Let m = j + -2.06. Which is the third smallest value? (a) m (b) -0.5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 778da2 (base 14) to base 6.\nAnswer: 222552310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.49 take away -5604?\nAnswer: 5604.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 30\/8 - -6*(-5)\/(-120). What is the greatest common divisor of 8 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 1:51 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -0.3 (b) -3 (c) 18\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 404 - 388. Let a(j) = -j**3 + 18*j**2 - 30*j - 36. What is a(u)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328172 is divided by 92?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/113501 or 6?\nAnswer: 6\/113501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -106443, -213028, -319613, -426198?\n\"Answer: -106585*c + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2579160 to the nearest 100000.\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -352, -1480, -3384, -6064, -9520, -13752, -18760?\n\"Answer: -388*f**2 + 36*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*b - 1. Let z(t) be the third derivative of 1\/72*t**4 + 1\/120*t**6 + 0*t + 3*t**2 + 0*t**b + 0 + 1\/45*t**5. Suppose z(f) = 0. What is f?\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/8)\/(-1))\/(-1)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8350 from 5.207.\nAnswer: -8344.793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 180 = 10*i. Let x = i + 36. Let j(d) = 3*d - 18. Let v be j(9). Calculate the greatest common factor of x and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**3 + 81*q**2 - 280*q + 58. Calculate u(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 392168 and 112?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58 + 60. What is the remainder when 4 is divided by (-17 - -18)\/((-1)\/(-8)*f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 16, -559, 4.2?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5\/31 (b) -3 (c) -0.02 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -1. Let o(k) = 10. Let y(b) = -b + 1. Let g(f) = -o(f) + 5*y(f). What is g(m) - 4*n(m)?\nAnswer: -5*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -775.755 and -9?\nAnswer: 6981.795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3303231?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - g = -5. Let t(z) = -1100*z. Let q be t(g). Round q to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -5f65?\nAnswer: 5f66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14 + 44001601?\nAnswer: 44001615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*x**4 - 98*x**3 - x**2 + 4811*x wrt x.\nAnswer: -264*x**2 - 588*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -254, 5, -8001, 4, 3.\nAnswer: -8001, -254, -3, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0890105 - 0.0901. Round l to four decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -84, -8702, 0 in decreasing order.\nAnswer: 0, -84, -8702","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((14960\/(-480))\/187)\/(2\/12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-105)\/21*(-4660)\/1. Round h to the nearest one thousand.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 2*o + 6. Let y = -91 + 38. Let v = y - -80. Calculate the greatest common factor of v and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of -z**5\/10 - z**4\/12 - 28*z. Calculate b(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (33 - 33 + 25*n)*(-2 - 15*n + 18*n + 6*n) as z*n**2 + d*n + c and give z.\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + o + 4. Suppose -p + 8 = 3*p. Let y be t(p). Suppose 5*n = -2*j + 68, -y*n + j = -0*j - 20. Calculate the highest common divisor of n and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence no when two letters picked without replacement from nyyqnntnttnnnqqnnon.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 + 77. Let f = 1584 - a. List the prime factors of f.\nAnswer: 5, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**3 + 4*x**3 - 5*x**3)*(0 + 0 + 2*x**2) + 3*x**5 - x**5 + 0*x**5 + 7*x**5 - 2*x**4 + 2*x**4 + 0*x**5 - 3*x + 0*x**5 + x**5.\nAnswer: 14*x**5 - 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(10)\/(sqrt(5) + sqrt(20)*-6))**2 + 4.\nAnswer: 492\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -243, -326, -409, -492, -575, -658?\n\"Answer: -83*a - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 32188, 64132, 96088, 128056, 160036?\n\"Answer: 6*m**2 + 31926*m + 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 422 + -294. Let a = w + -126.8. Let p = -2 + 1.9. Which is smaller: p or a?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnufutfbu. Give prob of sequence utf.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -8. Let u = 300 - 301. Let j be (14 - 4\/(u - g))*1. Calculate the greatest common divisor of 3 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4100025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11628 and 918?\nAnswer: 34884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**4 + 4*f**4 - 8*f**5 - 3*f**4 + 2*f**5 - f**5 - 2*f**5 + (3*f**4 + 0 + 0)*(0 + 0 + f).\nAnswer: -6*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 12 = -6*q. Let z be q - (1 - (-3 + 2)). Let c(g) = 0*g**2 - 3*g**z - 4*g**2. Let a(i) = 2*i**2. Give a(c(o)).\nAnswer: 98*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(19) - sqrt(133)\/(sqrt(42)\/sqrt(6) + sqrt(7))))**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 12:28 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*a + 2 = 4*a, 0 = -4*c - 5*a - 10. Let x(g) be the second derivative of c + 1\/90*g**5 - 2*g**2 + 7*g + 7\/9*g**3 - 4\/27*g**4. Factor x(o).\nAnswer: 2*(o - 3)**2*(o - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 542471248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 789 - 777. Solve 0 = 3*o + 4*m + f, -4*o + 0*o = 4*m + 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -7*k + 4*k + 0*k + 1. Let b(w) = 16*w - 6. Let q(m) = -2*b(m) - 11*y(m). What is the first derivative of q(p) wrt p?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/8, -2.5, 1\/2, -4\/21, -4?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1780 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**3 - g**2 - 5*g + 5. Let f be x(1). Let a(p) = 76099*p**2 - 11*p + 12. Let u be a(f). What is u rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -154 - -160. Let p(g) = g**3 - 6*g**2 + g + 6. What is p(u)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f\/(f\/((f\/f**(-1\/3))\/f*f*f*f)))**(9\/4))**15)**(-37) assuming f is positive.\nAnswer: f**(-21645\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 145241444 divided by -172\nAnswer: -844427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tuusuututeyttu. Give prob of picking 1 y and 1 u.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, n: 8}. Give prob of sequence nnn.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (24\/(-18))\/((-2)\/(-3)). Let s(l) = -6*l - 5. Let g(x) = -31*x - 26. Let r(n) = d*g(n) + 11*s(n). Let f be (2\/6 + -1)*3. Calculate r(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 23300.9 and -309955.\nAnswer: -286654.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*q + 7 = 0, 3*q + 7 = g - 0. Let b(m) = 11*m**2 - 8*m + 9. Let a be b(g). Find f such that -17\/2*f - a*f**2 - 2 - f**4 - 13\/2*f**3 = 0.\nAnswer: -4, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (4 + -3)) + -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**3 + 2*l**3 - l**3 + (2*l - 2*l**3 - 2*l)*(9 - 2 + 1).\nAnswer: -17*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*v - 23*v + 86*v - 19*v - 20*v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m = -5*m - 469. Suppose -5*b = 2*x - 370, 3*x - b = 656 - m. List the prime factors of x.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17.7 - 4.6. Let f = -13.0947 + v. What is f rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1)**(-26)\/(h**(-5)\/h**(3\/5)) assuming h is positive.\nAnswer: h**(-102\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12\/783989 and 65\/3?\nAnswer: 2351967","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, t: 2, s: 1, f: 6, e: 5, n: 1}. Give prob of picking 3 d.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 0*l - 2*z = -37, 5*l - 5*z + 160 = 0. Let j be 6\/l + (-92)\/(-9). Solve -5*t + 0*t + 5 = 0, -5*b - 5*t = -j for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 61 or 71748?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -47 bigger than -44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-497*b - 688*b + 1019*b)*(-14 + 5 - 8 + (2 - 3 + 3)*(-2 + 0 + 0))*(b**3 + b**3 - 3*b**3) in the form p*b + l*b**3 + i + z*b**2 + v*b**4 and give v.\nAnswer: -3486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -436.325868 to the nearest 10.\nAnswer: -440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 + -39. Let i = h + 61. Find s, given that -8\/13*s + i + 2\/13*s**2 = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -738255370 plus 4?\nAnswer: -738255366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 18, 33, 70, 141, 258, 433, 678?\n\"Answer: 2*s**3 - s**2 + 4*s + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -156 + 33. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1708 and 1167052.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 101903 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (12 + 1 + 6) - (-10 - -2).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-17) - (-4536)\/(-459))\/6*45\/(-1250).\nAnswer: 3\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 129 + 123 = 0. Let n(y) = -8*y - 4. Let u(a) = 9*a + 5. What is v*n(b) + 5*u(b)?\nAnswer: -3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 2, -8, -26?\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 167.904 and 0.5.\nAnswer: 83.952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17593 - -26958. Let m = 9300.544 - a. Let k = 1.356 + m. Round k to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 84, 99, 148, 249, 420, 679?\n\"Answer: 3*g**3 - g**2 - 3*g + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2242*k**3\/7 + 8704*k**2\/7 - 1056*k\/7.\nAnswer: 2*k*(k + 4)*(1121*k - 132)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 10*l**2 + 2*l - 3. Let f(d) = -11*d**2 - d + 2. Let z(t) = -3*f(t) - 2*n(t). Calculate the remainder when 35 is divided by z(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 1:34 PM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 94499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/4760 and -95\/144.\nAnswer: 85680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46041?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -1 - -3 - (30 + 6 + -15)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1210 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 76\/5 + -15. Let s(h) be the first derivative of 0*h**3 + 2 - c*h**5 + 0*h**4 + 0*h - 1\/2*h**2. Find the second derivative of s(d) wrt d.\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/5 - 2912*n**2\/5 - 184388*n\/5.\nAnswer: n*(n - 2974)*(n + 62)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 236404370?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 3, w: 7}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -710*t + 706*t - 13*x = 46, -3*x = -3*t - 9 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -489348.41469 - 1.\nAnswer: -489349.41469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 3, 2\/19, -0.3, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 1188728*s - 1188737*s - 1188736*s + 3566197*s.\nAnswer: -4*s + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 888 is divided by 227?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 11*h**2 - h - 9. Let d be z(-11). Let u = d + 0. Sort 3, u, 0 in decreasing order.\nAnswer: 3, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 5*u - 23. Let m(b) = b + 1. What is 3*m(t) - v(t)?\nAnswer: -t**2 - 2*t + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(1*sqrt(12)) - -1*sqrt(108))**2 - (sqrt(54)\/sqrt(9))\/sqrt(2)*5.\nAnswer: -5*sqrt(3) + 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20821 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7688818235 rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284 is divided by 144.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -2*k + z + 25, 0 = -k - 4*z - 14 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 411 - -1.46\nAnswer: 412.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n**3 - 5*n**2 - n + 16 wrt n.\nAnswer: -6*n - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of l**9\/3024 + l**5\/3 + 2*l**2 + 27*l. Let f(t) be the third derivative of x(t). Give f(-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -328, -2702, -9196, -21874, -42800, -74038?\nAnswer: -117652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.8 and -0.065?\nAnswer: 0.052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jr when two letters picked without replacement from swrrjps?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1901*z + 2453*z - 173*z = 9406 - 147379 for z.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = c. Let z(p) = p**3 - p**2 + p + 5. Let a be z(c). Solve -h - h - 33 = 5*r, a*h + 4*r = -40 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u + 8*u - 7*u + 14*u.\nAnswer: 18*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 607079 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -325 and 3?\nAnswer: -975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -5*r - 2. Let z be h(-1). Let x be (-2)\/((-20)\/(-8) - z). Solve x*c = 3*s + 7, 0 = -5*c + 2*s + 20 - 6 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -1, 2, -12, -28 in decreasing order.\nAnswer: 5, 2, -1, -2, -12, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 16 = 0, 19*n - 18*n + 5*z - 24 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a**4\/3 - 361*a**3 - 832171*a**2\/3 - 3013799*a - 4920930 = 0. What is a?\nAnswer: -511, -9, -2, 1605","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 65, 112, 187, 302?\nAnswer: 469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 222\/(-740)*370\/3\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -16*d**3 + d**2 + 2*d. Let k(u) = 49*u**3 - u**2 - 5*u. Let h(w) = 11*i(w) + 4*k(w). Find the third derivative of h(j) wrt j.\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 1006*a + 80*a.\nAnswer: 1086*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 5, n: 2}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a centimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 262, -5, -2\/11, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -t - t, -4*t - 3*v = 4. Let s = -21 - -19. Is 14\/(s\/(t\/2)) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 4*f**2 - 2*f + 3. Let i be x(-4). Suppose -26*d - 2*d = 28. Let u = i - d. Calculate the lowest common multiple of u and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 7*z**2. Let l(a) be the third derivative of -a**4\/6 + 3*a**3\/2 + 44*a**2 + 2*a. Let u(q) = -1. Let k(j) = -4*l(j) - 36*u(j). Calculate m(k(d)).\nAnswer: 1792*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -156 in -5, -1\/2, 5\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 70.8 + -100. Let j = c + 16.3. Round j to zero decimal places.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -187440 (base 9) in base 4?\nAnswer: -130210020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (80\/(-18))\/(5\/(-30))*(110250\/196)\/125\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -557 - -4433. Calculate the highest common divisor of y and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 393642655?\nAnswer: 5, 7, 151, 211, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*s - 2 = -58 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 5*c + 25, r - 2*c + 4*c + 10 = 0. Suppose 9*n - n - 472 = r. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -55 - (11 - 36) - 50 - 14?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 971 + -1553. Are r and -581 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 7) to base 11\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that x**4\/3 - 22365*x**3 + 156533*x**2 + 1140487*x\/3 + 201264 = 0.\nAnswer: -1, 9, 67088","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*u - 19*u + 18 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -20\/3*j**4 - 80\/3*j**2 + 2\/3*j**5 + 20*j**3 + 50\/3*j - 4 = 0. Calculate j.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2692219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 134*n - 60. Suppose 21 = 2*a + 5*y, 0 = 4*a - y - 3 - 6. Does 18 divide f(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -247 + 239 + (-1 - (50 - 3)) + 2?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3140313494 to the nearest integer?\nAnswer: 1464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 83631.572 minus -62.7?\nAnswer: 83694.272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 611, 1803, 2995, 4187, 5379, 6571?\nAnswer: 7763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60290*l + 149292 = -58376*l for l.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7013573?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, 45\/44, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 12*c**2 - 11*c + 5. Let w be k(11). Suppose 2*t + 3*t + 104 = 4*s, 5*s - 85 = -w*t. What is the highest common divisor of s and 168?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 337.8984 meters?\nAnswer: 337898.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -7*f + 3*f + f**2 + 3*f - 3*f + 1. Determine b(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f - 5. Let t be p(5). Suppose -285 = -t*b - 80. Let i be b*3 + 9 + -7. Calculate the greatest common factor of i and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = z + 4*z. Let h be (-2)\/z + (-47)\/3. Let n = h + 21. What is the greatest common divisor of 2 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -1, 9 in descending order.\nAnswer: 9, -1, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36934, -36932, -36924, -36910?\nAnswer: -36890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -657, -848, -587, 126?\n\"Answer: 226*v**2 - 869*v - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -96724 times -4?\nAnswer: 386896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 3, -39, -107, -207?\nAnswer: -345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 54385 to the power of 1\/2, to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*o + 11 + 276 = 89 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - 3*l - 1. Suppose 15 = 3*b - 3*u, -2*u = 2*b + 3*u - 3. Let h be z(b). Solve 2*p - 1 - h = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/212 + -427\/636. What is the nearest to 0 in -5, m, 16?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 2*s + 72, 171 = -5*c - 14*s + 10*s. Let k = -28 - c. Solve -2*v - 3*u = -k*v + 37, 23 = 3*v - 2*u for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 5:18 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7098 is divided by 296?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kggg when four letters picked without replacement from {k: 6, g: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/569, 6\/7, -3?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4*f**2 + 8*f - 3. Let y(v) = -5*v**2 - 9*v + 4. Let d(a) = 4*u(a) + 3*y(a). What is d(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 111630, 223191, 334754, 446319, 557886, 669455?\n\"Answer: s**2 + 111558*s + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/((-45)\/10)*6 - -831. Which is smaller: t or 826?\nAnswer: 826","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1837 (base 10) in base 11?\nAnswer: -1420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 z when four letters picked without replacement from zzgnhgggzdhzzgii?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and 93675.\nAnswer: 93680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*g + 78*g = 40. Suppose u = -2*q + 3287998, -g*q + 75*u - 73*u + 8220004 = 0. Round q to the nearest 100000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107921775.\nAnswer: 3, 5, 13, 71, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 4*v**5 + 112*v**4 - 1772*v**3 + 5752*v**2 - 6656*v + 2560 = 0.\nAnswer: -40, 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s**2 + 5*s + 3. Suppose 2*l + 0 = 12. Suppose 2*g - l = -5*q, 3*g - 1 = 3*q + 29. What is the remainder when b(-3) is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*l**2 + 45*l - 195 wrt l.\nAnswer: 8*l + 45","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qk when two letters picked without replacement from lnlnnnlnqkqnklnlln?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 44214*d. Let a(u) = -270*u**2 - 8*u. Give a(n(k)).\nAnswer: -527817004920*k**2 - 353712*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -2*n**2 - 8 - 2*n - 2*n + 3*n**2 + 0*n. Give v(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 5) + (-6 - 0)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c - 168604467 - 152905533 = 0. What is c rounded to the nearest one million?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 2\/3, -7.4, -14652 in ascending order.\nAnswer: -14652, -17, -7.4, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11001496 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 534801 divided by -2003?\nAnswer: -267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - -3899.68055\nAnswer: 3899.78055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 0*p - 3*p)*(-2 + 2 - 2*p) - 9*p**2 - 39 + 39 + 0 + 0 + 2*p**2 + (p + 3*p - 2*p)*(3 + 2*p - 3) + 0*p**2 + 0*p**2 + p**2 + 3*p + 8*p**2 - 3*p.\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of t**5\/60 - 13*t**4\/12 - 40*t**3\/3 - 103*t**2. What is the least common multiple of 24 and r(30)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6925*g**3*v - 9*g**2*v + 52*g**2 wrt g?\nAnswer: 41550*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-5) - -1) + 52\/160. Let a be (4\/2)\/(0 + 2). Which is smaller: u or a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**20*i)\/i*i*i*i\/i**6*(i**19*i)\/i*i**(-1\/17))**(-32) assuming i is positive.\nAnswer: i**(-19552\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*o + 8*o + 102 = 0 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4*o**3 + 2*o**2 - o + 2. What is x(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78268423?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -7*c**2\/2 - c - 5. Let u be d(-2). Is 0 - -1 - (3 - u) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/4 of a kilogram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 6, -5, -34, -87?\nAnswer: -170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 126 = -0*g. Let b = 19 - 14. Suppose 0 = b*j + z - 1533, 3*z = 4*j - 1297 + g. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 5*k - 1, 4*i - k - 1 - 6 = 0. Let n(y) = -4*y - 3 + 6 + 14*y + 0 - y**i. Give n(7).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 372227771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, q: 1, a: 1}. What is prob of sequence aq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-117)\/7 + 2\/(-7). Let k be 518\/(-18) - (-18)\/(-81). Let f = z - k. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/46881615 and -52\/5775.\nAnswer: 1640856525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**2*q)\/(q\/q**0)*(q**(1\/2))**(-15\/4) assuming q is positive.\nAnswer: q**(1\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - 78*s - 1381. Calculate the remainder when 1274 is divided by m(-39).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/2 + 2\/4. Suppose 2*i + 4*f = -18, 0 = 2*f + 3*f + 15. Let j be -3*(1 - 0)\/i. Is d smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2965217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 88.72577 decades?\nAnswer: 0.8872577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22949 + 22995. Calculate the remainder when 6025 is divided by w.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 137 + -123. Put -4, 0.2, l in decreasing order.\nAnswer: l, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53486, -106865, -160016, -212825, -265178, -316961, -368060?\nAnswer: -418361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, -99, -450, -1159, -2346?\nAnswer: -4131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 - 11 = -5*d. Let x = d + -38. Let g(a) = a**2 + 11*a + 6. Calculate the remainder when 69 is divided by g(x).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1372570072.\nAnswer: 2, 17, 937, 10771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 0 = -15. Let u(m) = -2*m**2 - 2*m + 23. Let q be u(-4). Put b, 3, q, -2 in descending order.\nAnswer: 3, q, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/78512799 and -97\/28062.\nAnswer: 471076794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**3 + 7*g**2 - g. Let h be o(-4). Let y = h - 167. Let a be -11*((-6)\/3 + 1). What is the greatest common factor of y and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**12\/o))\/o**(-2\/17))\/((o**21*o*o)\/(o*(o\/(o\/(o*o**(-16)\/o)))\/o)) assuming o is positive.\nAnswer: o**(-831\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - m**2 + m + 1. Let q(u) be the first derivative of u**4 - 4*u**3\/3 + 3*u**2\/2 + 6*u + 2. Let k(a) = 3*g(a) - q(a). Is k(-3) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -87239769, -174479537, -261719305, -348959073, -436198841, -523438609?\n\"Answer: -87239768*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -127*3.7.\nAnswer: -469.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2848*p + 2847*p + 1, -i - 120*p + 141 = 0 for i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 407 + 28. Let o = r - 430. Solve -o*h + 5 = -5*c, 3*c + 0*h - h = 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7629.5 - -7630. Let x = -2.8 - -2.7. Let j be (-2 - -3)*2 - 8. What is the closest to -1\/2 in x, m, j?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115 = 56*v - 557 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c + 79 - 88 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 519037?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.6906 times -0.1\nAnswer: -0.06906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3792836256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14556555, 14556524, 14556473, 14556402?\nAnswer: 14556311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 0, 4*m - 3*d - 8 = -0*d. Suppose 3*r - 12 = -0*r. Suppose -m*z + r*z = 0. Solve h - 4 + z = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3036137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -719.3 - -9.3. Let r = j + 713. What is the second smallest value in 0.6, r, 4\/7?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7425 by -5.\nAnswer: -1485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*f + 68*f = -420. Let w(l) = 3*l**2 + 3*l + 240. Does 12 divide w(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19082080*0.06.\nAnswer: 1144924.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = 3*j + 3, 1 = 4*j + 3*x - 6 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + 2*h. Let f = -16 + 14. Let a be j(f). Is a bigger than 2\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/4 + (-27)\/18. Suppose -3*f - 86 + 35 = z. Calculate the common denominator of -13\/22 and f\/4 - (7 - 6).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*n - 981 + 4114 = 67*n - 2698 for n.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -469 = 58*a - 701. Let j(z) = -5*z - z + 5*z + 0*z. Let b(d) = 5*d - 4. Give a*j(s) + b(s).\nAnswer: s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3744, -3756, -3784, -3834, -3912, -4024, -4176?\n\"Answer: -a**3 - 2*a**2 + a - 3742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1047216?\nAnswer: 2, 3, 21817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3717)\/(-177) + 399\/21?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.914 to 1 dp.\nAnswer: 3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 607, 608, 609?\nAnswer: 610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 627 divide 69724281?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + k**2 + k - 5. Let v(i) = i - 18. Let a(z) = -5*z + 91. Let q(l) = 2*a(l) + 11*v(l). Let m be q(16). Determine f(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -6*a - 4*f + 83, -23 = -a - 4*f. Suppose 0*p = 4*p. Suppose p = -m + 3*n - n + 33, 3*m - 5*n = 95. Calculate the remainder when m is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**3\/6 - 4819*k**2\/6 + 4599287*k\/6 - 1241614517\/6 = 0 for k.\nAnswer: 583, 3653","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 424380 rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*d + 15*d + 41*d)*(-1 + 3*d + 2 + 0) to the form o*d + s*d**2 + v and give s.\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1237899, 2475825, 3713755, 4951689?\n\"Answer: 2*v**2 + 1237920*v - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (12\/(-1))\/(1\/(-5)) is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7237518 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5 - (-5)\/(60\/9926). Let a = -816 + h. Let g = -2097\/76 - -7\/76. Calculate the common denominator of a and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6a4ab - -84?\nAnswer: 6a573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3073.67125 rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/8*-3*(-12)\/24.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 3*i = -f + 154, -3*f + i + 462 = 0. What are the prime factors of f?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 691\/24970 - 1\/2497. Let u = z + -111\/1045. Which is smaller: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-208)\/36)\/((-4)\/(-6))*(-396)\/(-264)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -184225\/2, 4?\nAnswer: -184225\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3001 is divided by 273.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 4) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34 - 33.9296. Let i = 61.1704 - j. What is i rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*5\/15)\/(7\/(-6))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0944 rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*l + 3*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -2*a**3\/3 + 2. Let r(c) = -2*c**2 - 3*c**2 + 4*c**2. Calculate k(r(t)).\nAnswer: -2*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 1319 and 1224 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(270))\/sqrt(6) - (sqrt(2880)*2 - sqrt(45)))\/(2*sqrt(54)\/sqrt(6)*4))**2.\nAnswer: 845\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + z. Suppose z = -j + 3, -5*j - 220 = -4*x - j. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k + 4*k + 7*k - 2 + (2 + 1 - 1)*(1 + k - 1) as y + w*k and give w.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -859433, -859434, -859435?\n\"Answer: -n - 859432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3763.891 litres in millilitres?\nAnswer: 3763891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - (3 - (-14 + 6))) + 21. Solve 4 = m*y - 22 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75093672 to the power of 1\/2, to the nearest integer?\nAnswer: 8666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*j = 14*j + 20. Suppose 5*f - 2 - 5 = -2*x, j*f - 5*x = 35. Suppose 0 = g + 49 - 54. Solve -2*q + 0 = z + f, 0 = -g*z - 5*q - 20 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x + 12. Let m be u(2). Suppose -27 = v - m*v. Differentiate 2362*f**2 - 2362*f**2 - 36 - 32*f**v with respect to f.\nAnswer: -96*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40967077111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -6*o**5\/11 - 158*o**4\/11 - 34*o**3\/11 + 486*o**2\/11 + 472*o\/11 + 104\/11 = 0.\nAnswer: -26, -1, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/5 - 15326\/(-3160)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(1*(-2 - -3)). Let w be l\/(-2*(-3)\/6). Suppose 2*a = a + 4. Solve -n + 2 = -2*t - w, -a*n + 8 = -2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187*h - 255*h - 299*h - 637*h.\nAnswer: -1004*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v**2 - 9*v. Let x be (2\/(-6))\/((-3)\/54). Let u be l(x). Factor -1 + 3 - 4 - 12*q**2 + 14*q - u*q**2 + 18*q**3.\nAnswer: 2*(q - 1)*(3*q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/646 and 5\/1292.\nAnswer: 1292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 227.95, 0.1?\nAnswer: 227.95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19\/26 + -3\/13. Factor l*x**2 + 1\/2 + x.\nAnswer: (x + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**2 - 14*l + 26. Let g be w(4). Which is the closest to g? (a) 6\/11 (b) 1\/4 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 0.8, 9, -0.016 in increasing order.\nAnswer: -0.016, 0.8, 9, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 215 - 209. Suppose d*p + 96 = 14*p. Suppose -4 = -4*f + 2*f. Solve 2*i - p = o - 5*o, -o + f*i = 7 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4598\/2508 + 1590\/36\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -2 - -1 - 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of 19*t**5\/30 + 33*t**2 + 14. Let m(f) = f**2 + 20*f. Calculate m(w(a)).\nAnswer: 1444*a**4 + 760*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 36*k**2 - 294*k + 574. What is n(2)?\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v + 9. Let w be z(-8). Let u(l) be the first derivative of 4*l**3 - l**2\/2 + l - 3. What are the prime factors of u(w)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(sqrt(10) - sqrt(60)\/sqrt(6)*-6))**2.\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0*k*k)\/(k\/(k*k*k**(-1\/4)*k*k))*(k*k*k**(1\/5)*k)**(-3\/29) assuming k is positive.\nAnswer: k**(2563\/580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 9*z - 845. Calculate y(81).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r + 6. Let i be n(3). Let o be (6\/i)\/(-3 + 17\/6). Find the common denominator of o\/8 - (250\/84 - 1) and -46\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1154021731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240670306?\nAnswer: 2, 379, 383, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 24925.17kg in milligrams?\nAnswer: 24925170000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 826262797.\nAnswer: 281, 2940437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -109779 + -8?\nAnswer: -109787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1706 is divided by 44.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 - 36. Let l(x) = 11*x - 20. Let w be l(y). Calculate the common denominator of w\/(-36) - 4 - (-694)\/144 and -131\/30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 40, 4, -42, -104, -188?\n\"Answer: -k**3 + k**2 - 32*k + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of n**4\/4 + 11*n**3\/3 + 12*n**2 - 12*n + 134. Calculate the remainder when 125 is divided by v(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1189*t**3 + 539*t**3 + 301*t**3)*(2 - 2*t - 2) to the form k + l*t**3 + s*t**4 + v*t**2 + i*t and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/460 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 933 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 (-2 + 4 - 12)*(-2 - 2 + 1)*(2 - 2 - 3*k).\nAnswer: -90*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1875435, 3750870, 5626305, 7501740, 9377175, 11252610?\nAnswer: 13128045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*i - 120 - 230. What is the remainder when 136 is divided by i?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from civqd. What is prob of picking 2 c and 1 i?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.02 + -0.28. Let v = 4.91 + 0.09. What is the second biggest value in -0.5, u, v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 3544\/11609?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1754955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ztt when three letters picked without replacement from {t: 4, r: 3, i: 2, z: 2, b: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 563 - 954. Let o = -226 - c. Calculate the greatest common factor of 15 and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*y**3 - 25*y**2 + 6549*y wrt y.\nAnswer: 60*y - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 11:41 PM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*b**2*y**2 + 61*b**2*y + 59*b**2 - b*y + 15021*y**4 - y wrt y.\nAnswer: 14*b**2 + 180252*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 15*a**2 + 20*a + 68. Let h be x(-16). Let j be ((-6)\/(-4))\/(1\/6). Suppose j*r = h*r + 60. Solve 5*y - y + r = 4*t, 2*y = -t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10111010110101101 (base 2) to base 13.\nAnswer: 34707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -190\/7, 8, -55.\nAnswer: -55, -190\/7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -876 (base 10) in base 4?\nAnswer: -31230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 646 = -3*n + 4*w, -4*w = -4. Let i be 13338\/133 + n\/35 + -4. Let l be (-25)\/(-2)*(-1 + 3). What is the highest common divisor of l and i?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*r + 160 + 197 = 35*r. Calculate the least common multiple of r and 2982.\nAnswer: 2982","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 t, and 1 m when three letters picked without replacement from {b: 2, m: 1, i: 1, t: 3, k: 1, c: 11}?\nAnswer: 11\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*d - 194 = y, 5*y - 4*d = -262. Let q = y + 57. Solve 0 = q*z - 0*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29251153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 5. Find the third derivative of 4*h**2 - 2*h**v + 2*h**4 - 2*h**2 - 3*h**5 wrt h.\nAnswer: -180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -54 + 51. Let t = -5 + 8. Let p = -2 - t. What is the third biggest value in l, -0.2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3 - 72604*z**2\/3 + 68875136*z\/9 - 1839378112\/3.\nAnswer: 2*(z - 11778)*(3*z - 484)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*g + 4 - 59 = 0, 0 = -5*d - 5*g + 75. Suppose 4*y + 2 = 10. Solve 4*j = -y*o - 26, 4*o + d = -j - 0*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36696080.\nAnswer: 2, 5, 458701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/7, 2.8, -0.11, 2 in ascending order.\nAnswer: -1, -0.11, 2\/7, 2, 2.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((2142\/28)\/(-51) - 340\/(-216))*-15\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6347, 6345, 6343, 6341, 6339?\nAnswer: 6337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 3000*a**2 + 3005*a + 5 = 0.\nAnswer: -1, -1\/600","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 8 = -4*m. Suppose 0 = -m*j - 10, 0*j + 46 = 3*k + j. Calculate the remainder when k is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4279050 and 558.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1019, 2038, 3067, 4112, 5179?\nAnswer: 6274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4801 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110011110101111100010 + 1101?\nAnswer: -10110011110101111010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12226 + 1650536\/135. Let o = q + -11527\/270. Suppose 82*j - 55 = 77*j. Calculate the common denominator of j and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -245005, -245026, -245047, -245068, -245089, -245110?\n\"Answer: -21*o - 244984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1690718, 3381434, 5072150?\n\"Answer: 1690716*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -95 (base 12) to base 14.\nAnswer: -81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + f**2 - 166*f**4 + 2*f - 4*f + 164*f**4 in the form b*f**2 + x*f**3 + j*f**4 + l + z*f and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.22 + 0.2. Let p = -1678 + 2483. Let q = p - 810. What is the nearest to 0.1 in u, 0, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**3 - 16*q**2 - 6*q + 6. Let g(y) = -6*y**3 - 47*y**2 - 17*y + 17. Determine -6*g(o) + 17*v(o).\nAnswer: 2*o**3 + 10*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 215, -31 in ascending order.\nAnswer: -31, 3, 215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 16*g + 29. Give h(-3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 6*p**2 + 3*p - 3. Suppose 30*q + 37*q = 96*q - 29. Let f(t) = t**3 + t**2 - t + 1. Suppose 5*r = 27 - 12. Determine q*u(a) + r*f(a).\nAnswer: 2*a**3 - 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1444 is divided by 567.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3*w**3)*(4 - 4 + 2 + (-3 + 3 + 1)*(-1 - 67 + 0)).\nAnswer: -198*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 97444116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28058486?\nAnswer: 2, 29, 483767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -28*r**2 + 12. Let x(o) = 28*o**2. Determine x(q(i)).\nAnswer: 21952*i**4 - 18816*i**2 + 4032","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = g + 3. Let q(c) = 2*c**2 - 20*c + 3. Let r be q(9). Let k = 19 + r. Solve u = k, -2*u = -5*s - g - 5 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 + 244158*o + 1953344. What is v(-8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)*-1*-2*2*-4)\/((sqrt(21) - (2*sqrt(3024) + sqrt(3024)))\/(sqrt(243)*-1 + sqrt(243) + sqrt(3))).\nAnswer: 16*sqrt(19)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 696, 1000, 1508, 2220, 3136?\n\"Answer: 102*i**2 - 2*i + 596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 - 16*p**2 - 24*p - 29. Let s be c(-13). Let o(u) = -4*u**2 - 18*u - 4. Let f be o(-10). Is s bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of 5*g**9\/3024 + g**6\/60 + g**3\/6 + 7*g. Let l(h) be the second derivative of w(h). Find the third derivative of l(j) wrt j.\nAnswer: 300*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, i: 4}. Give prob of sequence il.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 209 divide 23772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y + 3. Let v be d(-5). Let a = 9 + v. Suppose -4*g - 23 = -a*o - 9*g, 2*o + 4 = 4*g. Let c(w) = -w**2 + 7*w - 4. What is c(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 3*y - 4. Let q(u) = -u**2 + 4*u + 5. Suppose 2*b - 16 = 2*f, f + 17 = 4*b - 0. Calculate b*q(x) + 4*l(x).\nAnswer: x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35 and 287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1864*h**3 - 1295 wrt h?\nAnswer: -5592*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 12, 0 = -5*s - 4*y - 2475 + 8517. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + a - 27 = -0*a, 2*t + 4*a = -4. Let w(q) = -10105*q**2 - 8*q + 4. Let l be w(t). Let v = -176652 - l. Round v to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 3*z + z + 8, 5*j = -2*z - 4. Suppose -1 = 3*f + 2. Suppose 0 = n + 4*k - 9, 13 = -5*n + 4*k - 14. Put n, f, j in ascending order.\nAnswer: n, f, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 15*y**2 + 26*y - 69. What is n(-17)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*b - 23. Let x(s) = -2*s**3 + 10*s**2 - 7*s - 5. Let j be x(b). Let q = j - -92151\/20. Calculate the common denominator of q and -87\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/10 + (-165)\/(-25). Let z = w + -1. Is z <= 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.09 - -5.09. Suppose 7 = -2*i - 5*f, -f + 1 = -6*i + 4*i. Which is the third biggest value? (a) k (b) -1\/2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 7. Let n = -15 + 10. Put n, 0, d in descending order.\nAnswer: 0, d, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -784 divided by -30.\nAnswer: 392\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fzz when three letters picked without replacement from {f: 3, d: 2, z: 7}.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 85515 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15046337?\nAnswer: 1979, 7603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2388536989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gvvgvvv. Give prob of sequence vvg.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3498943 and 1.8?\nAnswer: 6298097.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13888832 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-6)*((-6)\/(-8))\/(-1). Which is the nearest to 1\/2? (a) 2\/3 (b) t (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15920.\nAnswer: 2, 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*r**2 - r**2 + 2 - 2 as l + q*r**2 + z*r and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hr when two letters picked without replacement from {h: 2, r: 9}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5\/20*16*(-2)\/24\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*a**3*r**4 + 2*a**3*r**2 - 20*a**3 + 708*a**2*r + 15*a**2 + 3559430*a*r**4 - 2*a*r**2 - a wrt r.\nAnswer: 72*a**3*r + 85426320*a*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 30?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94 + 93 + 35*y - 8*y**3 + 6*y + 5*y.\nAnswer: -8*y**3 + 46*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111 (base 2) to base 13.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-3))\/(11\/(-33)). Solve -t = -5 + w for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35124.17 centuries in months?\nAnswer: 42149004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of -3*d**4\/2 + 5*d**3\/3 - d**2 + 189*d + 358. What is the second derivative of p(s) wrt s?\nAnswer: -36*s + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/10 - (-1)\/5. What is the nearest to -4\/3 in 0.5, h, 0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from rhqhhhqfhcqqh.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + 24*n - 112. Let x be y(18). Let l(a) = -9*a**3 - 4*a**2 + 4*a - 4. Let v(w) = w + 1 - w**3 - 2*w**2 - 2 + w**2. Calculate x*v(c) + l(c).\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 4*p**2 - 5*p - 2. Let o(x) = -x**3 + 2*x**2 + 4*x + 3. Let a be o(-1). Let r(h) = -2*h**2 + 7*h**2 - 1 - 2*h - 3*h**2 + 0*h**2. Give a*b(y) - 5*r(y).\nAnswer: -2*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4284 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*y**3 + 120*y**2 - 1265*y + 1770 = 0.\nAnswer: -59\/7, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) - sqrt(252) - sqrt(7))*1.\nAnswer: -5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 137 and 1.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0*i - 11 = 0. Which is the closest to 2\/7? (a) i (b) 1\/2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3 = 6*v. Let j = v - -8. Suppose 0 = q + 2 - j. Calculate the remainder when 19 is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24341 + 2?\nAnswer: -24334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 2660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 66 = 3*q, -3*l + 38 = 2*q - 11. Let d = -19 + q. Sort 0, d, 11.\nAnswer: d, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 56. Let y be v(0). What are the prime factors of 6\/2 - y\/14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -106 + 106. Suppose 4*m - 4*t - 24 = r, 2*m - 4*m = 5*t + 9. Let v = -4 + 6. Calculate the remainder when m is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 1:20 AM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 54*l**2 - 4694*l - 4345. Give k(-46).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*v - 15 - 24 + 4 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2051, 7337, 15859, 27617, 42611, 60841?\nAnswer: 82307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42 - 12 - 77*i**2 - 29899*i + 29901*i wrt i?\nAnswer: -154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 times -0.08455\nAnswer: 0.0008455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0 + 1714*d**4 - 1 - 1766*d**4 - 216*d - 1 wrt d?\nAnswer: -624*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yss when three letters picked without replacement from gyysssyssggsgygs.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 127*v**3 - 41*v**3 - 7*v**2 - 39*v**3 - 46*v**3 + 8 + 2*v. Give n(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/(-12))\/((-9)\/(-6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s + 4. Suppose 0 = -13*m + 15*m + 16. Let x be r(m). Is 4 a factor of (2 - (-1 + 0 + 2)) + x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -3 + (-1 + 7 - -3).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11995613327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19378 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -12.98. Let f = s + 0.22. Which is the closest to 0.1? (a) -2\/11 (b) f (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from faarqqqaarf. What is prob of picking 1 r, 1 f, and 1 a?\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 320430314 (base 5) to base 3\nAnswer: 2112012200100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*o + 1102 = -19131*y + 19128*y, 19 = 3*y - o for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 3*l - 5*a - 18, 5*a + 14 = -3*l. Suppose i = -l*i - 36. Let y be (i\/(-10))\/((-6)\/(-900)). Calculate the greatest common divisor of y and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**1*s)\/s)\/s)**(-12\/13)\/(s**(1\/3)*s\/(s*s\/((s\/(s**(2\/11)*s))\/s)*s*s)) assuming s is positive.\nAnswer: s**(127\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 7*z**2 + 3*z - 24. Give t(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 19*b + 3*b - 12*b + b**2 - 3. Give d(-5).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*u + 744 + 202 = 25*u for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) 1\/48 (c) 0 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*g - 2 - 34*g - 53*g + 2 to the form v*g + k and give v.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2781 is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -r**5 - 7*r**4 - 872334*r**3 - 32753494*r**2.\nAnswer: -60*r**2 - 168*r - 5234004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/3 of a year in months?\nAnswer: 208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-580)\/(-50) - (-11)\/(110\/(-6)). Solve -3*v + 2*w = -q, -14 = -3*v + 4*w - 7 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1747, 1747, 1741, 1723, 1687?\nAnswer: 1627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 231419347?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 258250432 to the power of 1\/3, to the nearest integer?\nAnswer: 637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -y + 5*n, -7 = 4*y - 4*n + 1. Let z be 3 + 16\/(-4) + 4. Are z and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6264)\/12)\/29 - (-7 + 1). Let u = 0.3 - 0.2. Which is the nearest to -2\/5? (a) 1\/2 (b) u (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -74, 2.\nAnswer: -74, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2069, -3406, -4735, -6050, -7345, -8614, -9851, -11050?\n\"Answer: o**3 - 2*o**2 - 1338*o - 730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -57.74 - -57.728328. What is i rounded to 3 dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 6, 0.013, 2042 in descending order.\nAnswer: 2042, 6, 1, 0.013","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 26*l**2 + 5*l - 9. Determine t(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31 + 0 - -4 - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 0*s + s)*(-1 - 2 - 3).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-16)\/(-24))\/((-2)\/(-1599)). Suppose -3*p + 1198 = -o. Suppose 5*n = p - 137. What is the greatest common divisor of 11 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2113*c - 12. Let l be s(1). Let x = l + -6362\/3. Calculate the common denominator of 197\/6 + (-4)\/12 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -1620*f**2 + 11345*f - 5. Give k(7).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 - -49. Suppose -5*i + a = -6. Suppose 2*c - c - i = 0. Calculate the lowest common multiple of c and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-15))\/(399\/380)*(-1659)\/(-12).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/1 + (-22)\/(-6).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 241752 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 346, 694, 1042, 1390?\n\"Answer: 348*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 10*u**2 - 9*u - 6. Let o be w(9). Let p(j) = j**3 + 5*j**2 - 8*j - 3. Calculate the smallest common multiple of p(o) and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7 - (-2 + -2 + 3). Suppose b + y = 3*b. Suppose -3*a + i + b = -9, 3*a + 3 = -3*i. Solve 5*t - 5*w + 25 = 0, -2*w + 15 = -a*t + 2*w for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*x + 37 - 37)*(2*x - x + 2*x) in the form g*x + c*x**2 + n and give c.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -18*n**3 + 20*n**2 - 13*n - 13. Let r(x) = 3*x**3 - 3*x**2 + 2*x + 2. Calculate 39*r(y) + 6*t(y).\nAnswer: 9*y**3 + 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 25\/8 greater than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 171*l - 1514. Suppose 3*d = -2*d + 255. Calculate the remainder when t(10) is divided by d.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-36)*h*h*h**(7\/4))\/(h*(h*h**(-1\/7)*h*h)\/h)**(11\/2) assuming h is positive.\nAnswer: h**(-1343\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 97 = 4*i, -2*i + 2*h = -h - 49. Is i equal to 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-9)\/6)\/3)\/(30\/20)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4664454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 5 + (4 - 4 - 2)*(0 + 0 + 2) + 0 - 1 + 0 + 0 + 0 + 6)*(-16 + 16 + h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 899 is divided by 535.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 + 51 - -7 - 91.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/4 - (-10)\/8. Let z be y + -2 - (-357)\/(-14). Let p = z + 29. Which is the second biggest value? (a) p (b) -1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 6:41 PM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w - 2 + 14*w**2 + 2*w - 3*w**2. List the prime factors of g(1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-2\/5)*n)**(3\/20)\/((n*n\/(n*n**(-4)\/n*n))\/(n**2*n)))**(-1\/7) assuming n is positive.\nAnswer: n**(44\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, l: 10, h: 5}. What is prob of picking 2 h?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, n: 1, z: 3, o: 4, e: 8}. Give prob of sequence oooz.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**2 + 514 - 2*z - 233 + 326 + 0*z**2.\nAnswer: 2*z**2 - 2*z + 607","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -12*r**3 - 1. Calculate d(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 235 - 131. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - 12. What is the second derivative of -2*j**4 - 3*j + h*j**3 - 3*j**3 - 2*j**3 wrt j?\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28175709 is divided by 9391903.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 85 + -83. Solve -r*v - v = -3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45 and 3015.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9979 is divided by ((-464)\/240 + 16\/10)\/((-4)\/372).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -9*q + 0*q**2 + 0 + 1\/6*q**3. Let s(j) = -66*j. Determine d(s(r)).\nAnswer: -66*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5456 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 1 = 3*r, -4722*r + 4725*r - 47 = 22*i for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/520 + 4\/(-26).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k + 0*k - 5*k - 2*k. Let m(s) = -s**2 + s - 1. Let y(d) = -4*d**2 + 6*d - 6. Let a(r) = -6*m(r) + y(r). Calculate a(n(b)).\nAnswer: 32*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 25030, 1, -6 in decreasing order.\nAnswer: 25030, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*n + 0*n + n**2)*(-1 + 1 - 1)*(-n - 2*n - n + (2 + 0 - 3)*(-2*n - 3 + 3)) as w*n**3 + d + p*n**2 + z*n and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 3*y - 18, -113 = -4*h + 3*y - 140. Let j(c) = c**3 + 7*c**2 - 11*c - 7. Give j(h).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - 9*d - 8. Let l be v(-8). Let c = l + -9. What is the units digit of 6\/c*(-6)\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of f**5\/60 + f**4\/12 + 4*f**3\/3 + 9*f**2. What is the units digit of v(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lolllpalpaapaollall. Give prob of picking 1 a and 1 l.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16017315, 32034630, 48051945?\nAnswer: 64069260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -l + 2*v - 0*v, l = -3*v + 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4*x**3 - 3*x. Let y(i) = 3*i**3 - 2*i - 1. What is -4*o(n) + 6*y(n)?\nAnswer: 2*n**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 210 + 1212013?\nAnswer: 1212223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3390, 3395, 3400, 3405?\nAnswer: 3410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 4.4, 2\/7, -3\/61, -5, -0.05?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -2*q + 126, 0*q + 2*q - 98 = -4*m. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i**4\/3 - 20374*i**3\/3 + 2716558*i**2 - 6095708*i\/3 - 2033600\/3 = 0. What is i?\nAnswer: -1\/4, 1, 496, 2050","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 923 and 1278?\nAnswer: 16614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 62 (b) -2 (c) -0.3 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4097 divided by -1.\nAnswer: -4097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1804139325 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -409.\nAnswer: -5\/409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.071 and 177?\nAnswer: 177.071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 103 = 3*u, 2*c = -5*u + 6*c - 171. Let t(l) = -19*l - 2. Is 20 a factor of t(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**3 + 8*n**2 - 13*n - 20. Give v(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, w: 1, j: 1, d: 2, h: 1, i: 1}. What is prob of sequence ijh?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 32 + -17b?\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 327, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3092*n**4*r + 16*n**4 + 2314113*r with respect to n.\nAnswer: -12368*n**3*r + 64*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211 = 5*f - 4*f. Let b be (-3)\/2 + (-1)\/2*f. Suppose -3*r = -130 - b. Is r a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 55 + -56. Sort -4, h, -3.\nAnswer: -4, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -554 + 194 = -5*a. Let i = -17 + 20. What is the smallest common multiple of i and a?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-528)\/800)\/11*(-14)\/(-21)?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(((n\/(n*n**19)*n)\/n*n)\/n*n))\/(n*n**(-9\/8)))**(-21\/4) assuming n is positive.\nAnswer: n**(-3213\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 20*o - 64. Is 19 a factor of h(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1333*h*w**2 - h*w - 2*h - 162*w wrt w?\nAnswer: -2666*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/7 - 4*o**2 + 122*o\/7 - 24.\nAnswer: 2*(o - 7)*(o - 4)*(o - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -10. Let c = v + 0. Let b = -0.2 + 0.1. Sort c, b, 0.\nAnswer: c, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -634\/65 - -132\/13. Factor -f*y + 1\/5 + 1\/5*y**2.\nAnswer: (y - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tk when two letters picked without replacement from ttefktyekkketjkk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 + -22. Let j be 330\/h*(142\/(-3) - 2). Round j to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 4 (c) -22 (d) 39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -691*x**3 - 2*x**2 - 2406*x?\nAnswer: -4146*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -2*t. Suppose 7*o - 435 - 433 = t. What are the prime factors of o?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(1216) + sqrt(1216) + 3 + sqrt(1216))**2 - sqrt(1216))*1 - sqrt(1216)).\nAnswer: 128*sqrt(19) + 10952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*h - 14*h + 25670 = 0. List the prime factors of h.\nAnswer: 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*(-6 - (-3 + 4)*-5). Solve 0 = 2*c - 10, v*c - 16 = -0*p - 3*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1933, 3866, 5799?\n\"Answer: 1933*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -237 - 2476?\nAnswer: -2735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*x + 78*x + 10011 = 46*x for x.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 3*c = -5*l - 1, -4*c + 11 = 3*l. Let b(g) = 0*g + g**3 + 2*g - 2*g**2 + c*g**3 + 6*g**2. Let z(u) = -u**3 - u**2 - u. Calculate -b(f) - 2*z(f).\nAnswer: -f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -114.8 + 115. Let l = -0.4 + -0.6. Let t = -5 - l. Which is the biggest value? (a) x (b) 1\/4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*c + 2*n, 4*n + 0 = c - 10. Let q be (-3*1)\/(-1) + 0. Suppose q*b - 16 = c*b. Calculate the smallest common multiple of b and 20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1115473850?\nAnswer: 2, 5, 19, 113, 10391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 371 + -274. Is 22 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2*(-3)\/(-24))\/4. Which is smaller: a or 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 11*p**3 - 8*p**2 + p - 4. Let k(h) = 12*h**3 - 9*h**2 + 2*h - 5. Let x(g) = -4*k(g) + 5*z(g). Let t(w) = -w**3 + w**2. Determine -6*t(f) - x(f).\nAnswer: -f**3 - 2*f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 6:28 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*g - 157, 0 = g + 2*g + 4*w - 261. List the prime factors of g.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 4*f**2 - f - 12. Let p(v) = 2*v**3 + 5*v**2 + 18. Let r(s) = -7*k(s) - 4*p(s). Let w = -12 + 21. Calculate r(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -12*j. Let u(x) = 16*x**2 - 14. Let l(b) = -5*b**2 + 5. Let i(w) = -14*l(w) - 5*u(w). Determine q(i(m)).\nAnswer: 120*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 3*q + 6. Suppose 20 = -q*z + 92. What is the common denominator of 57\/20 and (-5)\/z*242\/(-10)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-98098)\/8085 + 372\/36\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i - 6*i + 38968 - 38968.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-56)\/12)\/((-8)\/12). Let h(g) = 13*g**2 + g + 5. Is h(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u**2 + 0*u**2 - u**2 + 17*u**2 - 36*u**2 - 14*u**2 + (1 - 6 + 2)*(-1 - 2*u**2 + 1) in the form l*u + w + r*u**2 and give r.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -69 + 343\/5. Let d be (-2)\/7 + 30\/7. Which is the smallest value? (a) -5\/6 (b) x (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 5:33 PM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (11704\/(-2090))\/((-2)\/160). Solve o*t + 5 = 449*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7452 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*j - 520 + 5350. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65134372 to the nearest integer?\nAnswer: 8071","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38\/171*-9 - 14\/(-10).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -513.2 + -9?\nAnswer: -522.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19531 + 0\/7*-1?\nAnswer: 19531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7273730 divided by -2.\nAnswer: -3636865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -15*a**8\/56 + a**6\/15 + 28*a**4\/3 + 169*a. What is the third derivative of w(c) wrt c?\nAnswer: -1800*c**3 + 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -8 - (14 + (-50 - -18) + 16 + -37).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/12)\/((-17)\/3 - -6). Let j(b) be the first derivative of -4\/3*b**3 - 1 + d*b**4 + 0*b + b**2. Factor j(s).\nAnswer: 2*s*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*v - 6*v, 0 = 3*b + 3*v - 15. Let c = -8 + b. Suppose -2*j = -4*p + 412, c = -5*j + j + 16. What is the greatest common factor of 42 and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*p + 11. Suppose p*o - o = 378. Suppose 0 = 4*a - 30 - o. Does 10 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 213\/10 + (-3)\/(-15). Let g = -85\/4 + c. Is -5 less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 11. What is b(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.31 + 4.31. Let u = 1 - 3. What is the smallest value in 2\/13, -0.1, x, u?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 + 378186320*h - 8939055789696400.\nAnswer: -4*(h - 47273290)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-156)\/(-10))\/((-14)\/(-490)*7) is divided by 44.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 826959777?\nAnswer: 3, 7, 39379037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -26549300*w**4 - 24659266?\nAnswer: -106197200*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1218680.6 rounded to the nearest 1000?\nAnswer: -1219000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3155410 (base 7) to base 10\nAnswer: 383677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1096324 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 0*k = -18. What is the third derivative of 2*w**k - 6*w**2 + 7*w**2 + w**2 wrt w?\nAnswer: 240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, z: 1, r: 6, x: 3, f: 4}. Give prob of sequence zx.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1459935157 + 0.01\nAnswer: -1459935156.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/5)\/((-9)\/(-45)*3)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yw when two letters picked without replacement from yyywywyyy.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -1\/8, 2\/35, -0.08 in descending order.\nAnswer: 1\/4, 2\/35, -0.08, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 486\/(-15)*(4*(-105)\/84)\/(1 - -2)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 31*s. Let z = 183 - 181. Let c(p) be the first derivative of 0*p - 3 + 1\/3*p**3 + 0*p**z. Determine c(d(y)).\nAnswer: 961*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -1, 5, 993 in increasing order.\nAnswer: -2, -1, 1, 5, 993","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 f, and 1 p when three letters picked without replacement from {p: 1, m: 1, g: 2, j: 1, u: 2, f: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 + 2 - (176 + -121).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/16 and -121\/144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a year in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 w when four letters picked without replacement from lwmjljpppjbjjjblml?\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 - (3 + -20 - (-226 + 203))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -20*f - 120. Let c(h) = -h - 4. Let p(i) = 60*c(i) - 2*q(i). Let m = 2 + -2. Let x(a) = 0*a + m*a + a. Determine x(p(y)).\nAnswer: -20*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47190195 is divided by 2329?\nAnswer: 2326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209)\/(sqrt(11)*1) - sqrt(19)*2*-4) + -2)**2.\nAnswer: -36*sqrt(19) + 1543","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 811.4402 litres?\nAnswer: 811440.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(32*1)*(-63 - (-73 + 11)).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 127992 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3*k = 2*k - 1078, -x + 4*k + 352 = 0. Does 2 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-20) + (-34)\/(-10). Calculate the remainder when (-1)\/(-2)*(4 + 127 - c) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 69\/1*-1*123\/(23247\/(-126))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k + 595 = 3364. Let h = 215 + k. Let m(o) = 16*o - 2. What is m(h)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1822, -1824, -1826?\n\"Answer: -2*l - 1820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - v**2 - 3*v)*(2 + v - 2) + v**3 + 5*v**3 - 2*v**3 + (33*v**3 + 113*v**3 - 37*v**3)*(1 - 3 + 3).\nAnswer: 112*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -240.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -7*d + 3*d. Solve d*a - 2 = -22 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005141 to six dps.\nAnswer: -0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -17976.5363\nAnswer: -8988.26815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4715 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3053, -15, 3 in increasing order.\nAnswer: -15, 3, 3053","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(675))\/((sqrt(81)\/sqrt(9) + sqrt(9))*4).\nAnswer: -5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -715114, -1.3, -2\/3?\nAnswer: -715114","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22123131320 (base 4) to base 8.\nAnswer: 12333570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2*h = 14, 14*h - 11*h - 4 = q. Solve -q*l + 10 = 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 252707.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a millimeter in micrometers?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -147284bb?\nAnswer: 147284bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -216.76240467 + -5.3?\nAnswer: -222.06240467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pvt when three letters picked without replacement from {i: 1, x: 1, t: 1, c: 2, p: 1, v: 2}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 > 2\/1077?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (13 - (14 + -8))) + -6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 57 = 58. Suppose 5*d + 10 = -4*g, g + 4*d + d = -10. Let i be 183 + 2 + (g - 1). Calculate the greatest common divisor of m and i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of 3*r**2 + 1\/20*r**5 + 18*r - 2\/3*r**4 + 2 + r**3. Calculate d(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 292*t + 236*t + 266*t + 243*t - 1298*t + 257*t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*h + 13 + 37. Solve -9*q = h + 7 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**4\/7 + 174*k**3\/7 + 366*k**2\/7 - 878*k\/7 - 1068\/7 = 0.\nAnswer: -3, -1, 2, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39*d**3*t**3 - 31227*d**3 + 5181030*d**2*t**3 + d**2*t wrt d.\nAnswer: -234*t**3 - 187362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/4 in -6, 1, -3\/5, 30, 1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + 5. Suppose 3*b + 2 = -c, 0*b + 4*c = 3*b - h. Suppose b - 10 = -5*n. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 14*j + 160 = 0. Calculate the remainder when j is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 6 = -2*x. Suppose 0 = -2*k - 3*k + x*u + 105, 4*k - 84 = u. Suppose 14*d - 9 = 11*d. Solve 0 = -f + 5*q - k, 2*f + d*f + 4*q = 11 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.13 - 4.87. Let f = d - -4.999904. Round f to five dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*c**3*r*x - 140*c**2*d**2 + 205*c**2*d*r - c*d**2*r*x + 2250*c*d*x - d**2*r*x - 15*d**2*r wrt c?\nAnswer: -18*c*r*x - 280*d**2 + 410*d*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -11*x - 14. Is h(-6) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -15. Let i = 11 - j. Let o(h) = 1 - 5 - 2*h + 0*h + i*h. Calculate o(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1650, 3613, 5544, 7443, 9310, 11145, 12948?\nAnswer: 14719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 991 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 190 a factor of 6599650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 154\/5 + -1068\/35. Let i = -27\/2 - -14. Which is the second biggest value? (a) -2\/15 (b) -0.3 (c) q (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1343453 plus 0.5?\nAnswer: 1343453.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 10*v - 2. Let r be m(2). Let o = r + -13. Suppose 0*z = -o*z + 55. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6659 - 6654. Suppose 0*p = -2*p + 4. Suppose -2*z = p*f - 20, 5*f = 4*z + 8 - 3. Solve -z*q - x = -0*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from cqrxnqrqncrqrcrrqcqr?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 411503039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 128 + 122. Let j = 250.1 - g. Which is greater: j or -0.68?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*v**3\/7 + 6234*v**2\/7 - 4162*v\/7 + 694\/7.\nAnswer: 2*(v + 347)*(3*v - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*h - 2 = -2*r, 0 = h + 2*r + 1. Suppose -3*j - h*a + 7*a = -23, -4*j + 31 = -5*a. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -496*c + 249*c + 2*c**3 + 247*c - 4*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and 1085.094.\nAnswer: 1085.494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*u = 4*v + 583, -3*v + 51 = -180*u + 186*u for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -4*j + 5*d + 82, -2*d = -68*j + 72*j + 68 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 2*n - 8, 0 = 5*z - 0*z - 4*n - 22. Calculate the lowest common multiple of 8 and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millisecond in microseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2045, -4093, -6141, -8189, -10237, -12285?\nAnswer: -14333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 1 = k. What is the least common multiple of k and (-1)\/(2\/10*-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -2 - 7. Suppose 0 = 5*l + 20, 0 = -0*c - 2*c - 5*l - 16. Factor -2 + 2*u**3 - q*u**2 - 5*u**3 + 5*u**c + u**3 + 2*u.\nAnswer: -2*(u - 1)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12688*c**2 - 30024*c**2 + 1542*c**2 - 14314*c**2 + 2638*c**2)*(-c**2 - 3*c**2 + c**2) as r*c**3 + b*c**4 + d + n*c**2 + t*c and give b.\nAnswer: 158538","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 113907, 227812, 341717?\nAnswer: 455622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 211089*u**3 + 91043*u**2?\nAnswer: 1266534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -7807 <= -7808?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5.6 (b) 4 (c) -2\/3 (d) -0.2 (e) -0.4 (f) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -201.84 + -3.16. Let j = 205.226 + f. What is j rounded to 2 dps?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13505 * 71\nAnswer: 958855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.4339 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1082985971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56693\/43610*1*-4.\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 0*p - 10 = 0. Let k(a) = -14*a - 1. Let s be k(p). Suppose q - 2*q = -s. Is 8 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1390 - 1348. Let u = -19 - -42. Calculate the remainder when x is divided by u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2130*h - 8 + 122*h**3 + 8 + 2130*h.\nAnswer: 122*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01236079 to three decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4023, -8046, -12069?\n\"Answer: -4023*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4031381648?\nAnswer: 2, 7, 107, 336397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -49*u**3 - 45*u**3 + 60*u**3 + (-4*u + 4*u + 2*u**2)*(0*u + u + 0*u).\nAnswer: -32*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k - 2*z - 30, -5*z + 73 = -k + 94 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -484, -967, -1438, -1891, -2320, -2719?\nAnswer: -3082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 23586*r + 4561. Is u(11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2d437 + 4?\nAnswer: 2d43b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-175)*((-88)\/12 + 4).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (73*j**2 - 6*j + 92*j**2 - 175*j**2)*(0 - 4 + 2)*(2 - 2 + 1) as r*j + k*j**2 + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 4 (b) 2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 3. Suppose -2*c + c - 2*p = -25, -m*c + 144 = -3*p. Suppose 0 = 4*n - 8 - 60. Calculate the remainder when c is divided by n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 15 = -f, 2*q = 3*q - f. Let l be 3\/(-6)*(-7 + (-9)\/q). Solve -3*t + l*x = 6, 12 = 2*t - 6*t + 4*x for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3 + 241260597*c**2 + 482521185*c + 241260591.\nAnswer: 3*(c + 1)**2*(c + 80420197)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/3 - 1745*p**2\/3 + 756875*p\/3 + 3828125\/3.\nAnswer: (p - 875)**2*(p + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**2 + 0*k**2 + k**4 + k**4 + 3*k**3 + k**3 + 0*k**3 + (k - 2 + 2)*(3*k**3 - 2*k**3 - 4*k**3).\nAnswer: -k**4 + 4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/135 and 199\/210?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -8298*l + 108023. Determine w(13).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3353 (base 7) in base 9?\nAnswer: 1588","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10131 - -11188. Calculate the highest common factor of 189 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 238*o + 2 + 9 - 5 - 6 to the form b*o + k and give b.\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -776711\/30 - -25887. Let a be (2*-1)\/((-24)\/(-50)). Let d = u - a. Is d <= -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29.8 + -50.8. Let q = 15 + -16. Let j = 0.5 + q. Sort 4, j, a in ascending order.\nAnswer: a, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 292 - -1107. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.84 + 0.74. Let b = 14501\/9 + -1611. Sort i, b, -2 in increasing order.\nAnswer: -2, i, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/4 (b) -2266477 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f + 66. Calculate the least common multiple of i(36) and 35.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -439, -1127, -2099, -3361, -4919, -6779?\nAnswer: -8947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaeqfdeafdeead. Give prob of sequence dqea.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 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: Calculate 4 + 36\/16*-2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 358 divide 1866371424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 1468*c**3 - 20 + 44 - 10.\nAnswer: 1468*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 2*n. Suppose -r + n*r + 19 = 0. Let b(w) = -19*w - 2. What is the remainder when b(-2) is divided by r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*y + 153*y = -26 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.164 - -0.464. What is the closest to -0.2 in q, -8.9, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-8)*-2 - -287. Let y = 1425 - -1327. Suppose 4*w + y = -n. What is w rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28054 and 3403?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 37808, 75615, 113422, 151229?\n\"Answer: 37807*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -q - 14, -q - q + i = 28. Let l = 30 + q. Solve 2*r = -3*p + p + l, -20 = -5*r - p for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 393017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 57*f**2*x + 23*f**2 - f*x**2 - 25*x**2 - 2*x - 17 wrt f.\nAnswer: 114*f*x + 46*f - x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -228877, -230472, -232067, -233662?\n\"Answer: -1595*m - 227282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1626089150?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001101 + 111?\nAnswer: -10000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52059260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (h**4 + h**4 - 4*h**4)*((3 - 1 + 0)*(4 - 1 - 4) - 167 - 328 - 234) as r*h**3 + j + x*h**4 + q*h + t*h**2 and give x.\nAnswer: 1462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 - (-2343492)\/117 - (1 - (-15)\/(-13)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 291547325 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s**2 + 9*s**3 + 4*s + 5*s + s - s. Let x(j) = -4*j**3 + j**2 - 4*j. Let w = -16 + 23. Let b(d) = w*x(d) + 3*r(d). Determine k so that b(k) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1556792415.\nAnswer: 3, 5, 34595387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 810270350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1710 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 l when two letters picked without replacement from lrfufufvrprr?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, w: 6, p: 3, n: 1, s: 1, k: 1}. What is prob of sequence sww?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 9, t: 10}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35\/33 + -8\/11. Let u = -185.95 - -181. Let z = -0.05 + u. What is the nearest to p in -1\/11, z, 3?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) + 1*(-5 + sqrt(304)))**2 + -4.\nAnswer: -80*sqrt(19) + 1237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 4:19 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*b + 25*b**2 + 23*b)*(-2*b + 2 - 2)*(3 - 5 + 3).\nAnswer: -50*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48765 is divided by 7027?\nAnswer: 6603","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3709 + 3719. Suppose 3*p = -p + 32. Solve 7*d - 3*d = -4*c - p, r = -5*c for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.07 rounded to one decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11492 - 8009. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37 - -39.3. Let n = -0.3 + i. Is n less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of u**7\/30 - u**6\/15 + 32*u**3\/3 - 24*u**2 + 2. Differentiate h(r) wrt r.\nAnswer: 28*r**3 - 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*l**2 - 100 + 11*l**3 + 102 - 3*l - 7*l**3 as i*l**3 + w*l**2 + h + x*l and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-13)\/s*s*s**(-3\/2))\/(s**(-3\/11)\/s*s**(2\/7)) assuming s is positive.\nAnswer: s**(-2081\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 9) to base 13\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.50321 to one decimal place.\nAnswer: 21.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 - 27. Is 4\/j - 6313\/(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6*a**2 - 2 + 4*a**2)*(-11*a**3 - 4*a**3 - 4*a**3 + (-a**3 - 2*a**2 + 2*a**2)*(-2 + 0 + 3)).\nAnswer: 40*a**5 - 20*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37 or -40?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110001010000 - 111?\nAnswer: 11110001001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 21*w + 16*w + 0 - 2 + 12. Let o be t(-8). Let k = -158 - o. Calculate the remainder when k is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 4:41 PM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7832.\nAnswer: 2, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 20 + -6 + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 218915143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -6*k + 3. Let n(o) = -17 - 19*o + 5*o + 1 + 45*o. Determine -2*n(f) - 11*u(f).\nAnswer: 4*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1565386 at least as big as 1565386?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -24 (b) 0.02 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 37220 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 77 - (-20 - -9) - (254 + -231)\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328 is divided by 71?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 5.504692 seconds?\nAnswer: 5504692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8588621 to the power of 1\/2, to the nearest integer?\nAnswer: 2931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.12 + 1.12. Let l = j - 3. What is the third biggest value in 0.3, -3\/5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 72?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 83623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -25, 2*r - 7 + 22 = -g. What is the remainder when 1\/g - (-22704)\/220 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50681 and 1829.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007134 to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4364 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.028906g in kilograms?\nAnswer: 0.000028906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of 48 + 3\/2*h**2 - 3*h. Give d(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - 8*y - 11. Let z be d(-5). Suppose -o = -z*o - 132. Is o\/(-3) + (-48)\/(-36) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 25*m**2 + 55*m - 601. Is w(21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.00515 + -0.39485. Let l be 3\/2*(-8)\/3. Let j be 11\/(-14) + l\/(-14). What is the nearest to j in 5, 1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*x - 28 = -140*x + 8 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + (12\/2 - -1). Let h be t\/36*(3 - 9)\/2. Let k = 1.3 - 2.3. Which is the nearest to 0? (a) h (b) 4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4995 - 4991. Solve -3*b + u*s - 23 = 0, -6*b + 10*b = -4*s - 12 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 20 = 2*z - 26, -4*n + 41 = 3*z. Suppose 0*b - 2*b = -n. Suppose 0 = b*x + 7 - 31. What is the remainder when 15 is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j - j + 5*d - 15, 15 = 5*d. Let b(v) be the third derivative of j*v**3 - 1\/36*v**4 + 0 + 0*v + 1\/90*v**5 - v**2. Let b(m) = 0. Calculate m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(132) - 2*sqrt(132))\/sqrt(12).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -7 (c) -4 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s - 303140 = 9*s. Let o = 26043 - s. Round o to the nearest one thousand.\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (18\/(-7))\/((-6)\/28). What is the greatest common divisor of b and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmo when three letters picked without replacement from mohhmhhooho.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) -0.3 (b) -2\/3 (c) -4 (d) 107691\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 99*l + 128 + 232 + 630 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -46*a. Let k(j) = 45*j**2 + 2*j - 5*j + 3 - 46*j**2. Let l(r) = 2*r - 2. Let g be (-10)\/2*(-12)\/(-30). Let h(d) = g*k(d) - 3*l(d). Calculate h(y(p)).\nAnswer: 4232*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 0. Let k = -6 - -9. Which is the third biggest value? (a) k (b) 0.1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1412 and 3\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 6:46 AM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yt when two letters picked without replacement from yytytyyfrrrrkftkuyry.\nAnswer: 21\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(84) + (((sqrt(84) - sqrt(84)*-2) + sqrt(84))*-1 - sqrt(84)) + sqrt(84)))\/(sqrt(768)*2 + sqrt(768) + sqrt(768)*-2).\nAnswer: -3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-9)\/(-6))\/(1*(-3)\/(-24)). What is the highest common divisor of g and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 1)*(-3)\/6. Suppose y + 4*n - 55 = n, -4*y + n + 168 = t. Let c = y + -34. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/2688 and 47\/87192.\nAnswer: 1395072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - 8\/(-2) - 1. Differentiate 14 - 4*j**l - 6 - 2 - 4 with respect to j.\nAnswer: -8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 46 = 4*a, -1279*p + 1285*p = -a - 151 for p.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {d: 4, z: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 73*z - 15. Let r be a(10). Suppose -9*s + 22*s = r. List the prime factors of s.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 4*f**2 + 7*f. Let q be t(5). Solve -6*k = -2*k, -k - q = 2*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -128*o + 1882. Give t(15).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**1)**(17\/3)\/(((n\/(n\/(n*n**6)*n))\/n)\/(n*n**(3\/10)*n*n)))**(9\/2))**35 assuming n is positive.\nAnswer: n**(2499\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/27, 7, 1\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 434*f + f**2 - 45*f - 2*f**3 + f**2 to the form d*f**3 + t*f + g*f**2 + i and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2*(-33)\/110)\/(1\/(-35)). Let a be x\/54 - (-25)\/150. What is the nearest to -1\/2 in a, 22, -2\/7, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -55.6 - -89.5. Let c = 34 - q. What is the nearest to c in 5, -0.1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 446359 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74702 is divided by 7469.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 31*f**2 - 57*f - 21. Let t be q(29). Put t, -15, 2 in decreasing order.\nAnswer: t, 2, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**3 + 8*n**2 - 8*n + 4. What is the remainder when 98 is divided by r(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4*i - 51. Which is greater: i or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/15)\/((-105)\/(-45) + (-27)\/9)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t**3 - 2*t**2 + 10*t - 11. What is the hundreds digit of f(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1156.1 and 3.\nAnswer: -3468.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2560?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*c + 51 = 0, 0*q = -q - 4*c + 1. Suppose -q*v - 4270 = -4288. Factor 6*z - 3\/2*z**v + 15\/2.\nAnswer: -3*(z - 5)*(z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -494130 by -14.\nAnswer: 35295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/12*1)\/(11\/33)\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/((i**(-1\/3)*i)\/i))\/i*i\/(i\/i**(-4)))**4\/(((i\/i**(-2)*i*i)\/(i**(2\/3)*i))\/(((i\/i**7)\/i)\/i**(2\/9))) assuming i is positive.\nAnswer: i**(-191\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -192d4f + 2?\nAnswer: -192d4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (1 - 4) + 0 - 1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/104 and -3\/14?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 12633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 168 = 154. Suppose -o*i - 12319 + 32808 = 0. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, q: 1, r: 1, t: 2, k: 1, f: 1}. Give prob of sequence ttk.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -10*b**2 - 26*b + 34. Let x(y) = 7*y**2 + 17*y - 23. Let q(c) = -5*p(c) - 7*x(c). What is the units digit of q(-22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6748*x - 6739*x = -20237*x + 6748*x - 4*s - 5 - 9, -2*x - 63*s - 309 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.709457 milligrams to grams.\nAnswer: 0.001709457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1313454 and -148362.\nAnswer: -1461816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2223049 divided by 21583?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 73 + -5?\nAnswer: 6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 25199371 to the power of 1\/3, to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 159421824 divided by -576\nAnswer: -276774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(104) - sqrt(104)*-2) + sqrt(104))\/sqrt(8) + ((sqrt(39)\/sqrt(3))**2 + 4)*-6.\nAnswer: -102 - 17*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -170205556\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 1 = -g. Suppose -h + 0*h = g*p - 8, 5*p - 11 = -4*h. Solve -4*u + 4*s - 27 = 9*s, p*s - 3 = 4*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 64 - 20 = 0. Suppose 4*v + 5*z + r - 138 = 0, 3*z - 57 = -2*v. Does 28 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -28 in 4, -130, -2\/75, -4, -3, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, -26, -86, -174, -290, -434?\nAnswer: -606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -36\/11, -70\/283, 2, -17, 2\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4\/9, 2, 362, -3.3?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 301 + -297. Suppose h*s + 99 + 1266 = 5*q, 0 = -q - s + 282. List the prime factors of q.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of -1 - (-6 - (-297)\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1132 - -231423322?\nAnswer: 231422140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 q, and 1 c when three letters picked without replacement from {d: 2, p: 3, q: 3, a: 7, c: 3}.\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8325874 minutes in seconds?\nAnswer: 49.955244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7115 smaller than 7074?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 2317812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.9, -3\/148, -145954?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0796 - 0.2204. What is the third smallest value in -2, 1\/4, -0.06, u?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*c - m, 4*c - 2*c + 4 = 4*m for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-58696)\/(-50692))\/((-2)\/38)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2878)\/(-6) + (-88)\/(-66). Do l and 481 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*4*((sqrt(70) + sqrt(70)*1 - sqrt(70)) + sqrt(70))*-1)\/((sqrt(810) - -1*sqrt(810)*5) + sqrt(810) - -1*sqrt(810)*-2).\nAnswer: -8*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 8*t**2 - 9*t + 4. Calculate k(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 480 - 479.869. Let j = 0.271 - g. Which is the nearest to 0.2? (a) -1 (b) -0.4 (c) 0 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*s - 4*s**2 + 118*s - 12*s - 39*s - 33*s.\nAnswer: -4*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + 3*c**2 - 3*c + 2. Let w be q(2). Let h(m) = m**3 - 6*m**2. Let z be 9\/(-2)*36\/(-27). Let u be h(z). Solve u = 4*n - w*n - 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*j**2 - 5*j**3 - 2*j + 2 + 6*j**3 - 2*j**3 + 0*j**3 - j**4 as h*j**3 + f + i*j + k*j**2 + w*j**4 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -45\/2*g**2 - 10\/3 + 34*g + 19\/6*g**3 = 0. What is g?\nAnswer: 2\/19, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 158139 and 243?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a - 1883 = -1928 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 4*c = -4, -7*d + 8*d + 2*c + 4 = 0 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 200 and (-16 + -4 - -16) + 1954?\nAnswer: 7800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2139 - -3027. What are the prime factors of l?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**2 + 5*a**2 - 10*a**2 + 21110*a.\nAnswer: -2*a**2 + 21110*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -87, 4, 2, -4, 0, -53 in descending order.\nAnswer: 4, 2, 0, -4, -22, -53, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5\/(30\/(-44)))\/(8\/(-252)). Let z = 61 + -215. Let x = o + z. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 5*q - 128 = 156, 5*o - 424 = 4*q. Let d(r) be the first derivative of -r**2\/2 + 9*r + 648. What is the least common multiple of d(-7) and o?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 974?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1260)\/(-1680)*2\/27?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6300 and 16500.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 275196?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -104 - -106. Suppose 7*z - h*z - 25 = 0. Suppose -y + 2 = -f, -z - 15 = -5*f. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 times 2.536?\nAnswer: -30.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/11 and (4\/2)\/((-372)\/138)?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 248 + -173. Let h = c + -74.99999195. What is h rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15736 is divided by 7730?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -27*i - 68. Let z(j) = -16*j - 34. Let s(l) = 3*x(l) - 5*z(l). Determine s(-21).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5736 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 142*m**2 + 18*m - 76. Is f(4) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 + -5. What is the remainder when g is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -10.8. Let a = 0.9 + b. Let l = -4.8 + a. What is l rounded to 0 decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106639587 is divided by 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1260968*m + 1260968*m - 10*m**2.\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -5*y**2 - 6*y. Let o(l) = 4*l. Let x(h) = -4*h. Let k(u) = -6*o(u) - 5*x(u). Determine p(k(s)).\nAnswer: -80*s**2 + 24*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*z - 4*z = 70 + 216 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 935 = -n. Calculate the greatest common divisor of n and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2372, -4736, -7100?\n\"Answer: -2364*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 453369?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -11383527 divided by -123\nAnswer: 92549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1146354 and 132.\nAnswer: 2292708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 20922075 to the power of 1\/3, to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -263*s + 244*s = -3211. What is the remainder when s is divided by 61?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45065343?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 434 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 15261, 61099, 137505, 244479, 382021, 550131, 748809?\n\"Answer: 15284*t**2 - 14*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6871, 13735, 20585, 27415, 34219?\nAnswer: 40991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 * 125\nAnswer: 8.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 247*g**2*u**3 - 2*g**2*u**2 + 2*u**3 - 3*u**2 - 31 wrt u?\nAnswer: 1482*g**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 14) to base 11\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -3\/87016837?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7229 - -3?\nAnswer: 7231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.07146, -3\/7, 0 in increasing order.\nAnswer: -3\/7, 0, 1.07146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of c**2 + c - 1. Let v be u(2). Let i be 24\/84 - 68\/(-7). What is the highest common divisor of v and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4 + sqrt(45) + sqrt(245)*-1*5.\nAnswer: -32*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(5 + sqrt(252)*-1*5 + -4))**2*-5 + 4.\nAnswer: -283541 + 2700*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 = -q - q. Suppose -102 = 2*g - z, -2*g = g - 3*z + 150. Let x = g - q. Calculate the highest common divisor of 36 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 7:45 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*a - 2*a + 0*a)*(-2 - 2 + 3) + 24*a + 14 - 14 in the form z + l*a and give l.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -4 + 102*q**3 + 3 + 6*q**2 - 103*q**3. Let v(x) = 5*x**2. Give -2*r(n) + 3*v(n).\nAnswer: 2*n**3 + 3*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2116? (a) -113932 (b) 0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1221275728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l - 5 + 21 = 0. Which is smaller: -2\/219 or l?\nAnswer: -2\/219","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5931, 6531, 7133, 7737, 8343, 8951, 9561?\n\"Answer: s**2 + 597*s + 5333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45 - -105. Let v be c*(22\/5 - 0). Let p be (5\/10)\/(3\/v). Calculate the greatest common factor of p and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 153551, 2\/9, -2\/3 in ascending order.\nAnswer: -2\/3, 2\/9, 153551","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14821 is divided by 206.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 2*m**2 + m + 2. Let s be t(-2). Let a = s + -10. Let b = 3 - a. Let l(w) = w**3 + 2*w**2 - 3*w + 1. What is l(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.09 and -27.\nAnswer: -27.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 3*n - 1588, 5*h - 109 + 1696 = -2*n. Let t = h - -371. What is the greatest common factor of 54 and t?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 2*m = 3*m + 4, 2*n + 3*m - 18 = 0 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1367373952 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-3))\/((-20)\/(-210)). Find the third derivative of p*v**6 - 3*v**2 + 14*v - 14*v wrt v.\nAnswer: 840*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 11212012210?\nAnswer: 11212012200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 468.1366 nanometers in millimeters?\nAnswer: 0.0004681366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 861.574 years in millennia?\nAnswer: 0.861574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.53897 rounded to 3 decimal places?\nAnswer: -6.539","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b - 2. Suppose d - 5 + 20 = 0. List the prime factors of w(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1259280790 is divided by 3256.\nAnswer: 3254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = g - 16, -g + 16 = 3*g. Let i be 2\/p*(1 - 1). Suppose i = -5*b - 2*u, b = 5*u - 2*u. Which is smaller: b or 2\/29?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 342.27 - 343. Let f = t + 0.73000777. Round f to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/24 and -11\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 < -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(1088) + (sqrt(1088) - -2*sqrt(1088))) - (-5 + sqrt(2448)*2).\nAnswer: -184*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35837 is divided by 87?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -90, -1, -0.3, 1 in decreasing order.\nAnswer: 1, -0.3, -1, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 539.3957 rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6816 divided by 1?\nAnswer: -6816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 676999.\nAnswer: 109, 6211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40\/25*(507\/6 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 8*r**3 - 613*r**2 - 230*r - 78. Determine j(77).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4082 less than or equal to 81633\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -74 - -74. Let d(u) = -u - 17. What is d(p)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 694 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence stzg when four letters picked without replacement from {g: 5, z: 4, s: 3, t: 1}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 211\/236 - -21\/59. Which is the smallest value? (a) 14\/3 (b) z (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268007383 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1573 by -54761.\nAnswer: -1573\/54761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -482, -1000, -1570, -2192, -2866, -3592?\nAnswer: -4370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 157 - 105. Suppose -2*n = -3*b - z, -5*n + 127 = -5*b - 3. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 0*d = -2*y - 6, 4*d = -5*y + 41. Let p be 0 + (1 - (0 - -48)). Let h be (-4)\/18 - p\/9. Solve -y*g - 2*i + h*i = -27, 3*g = i + 13 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 9013902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 16) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away -0.2564?\nAnswer: 2.2564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**2 + 3*t + 90. Let j be u(-6). Suppose 3*z - 2 = 7. Suppose z*l + 3*x - 4*x - 27 = 0, 0 = 2*x - 6. Put j, -2, l in descending order.\nAnswer: l, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16133*d + 481*d**4 - 16736*d - 1500*d**4 wrt d?\nAnswer: -12228*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, -7, 2\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 302*g + 3478 = -92*g - 5584 for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4751 is divided by 1345?\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/13*4\/10. Let m = -8 - -8.9. Let h = m - -0.1. Which is the closest to h? (a) v (b) -3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111121 + -102210?\nAnswer: 1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (26\/(-6) - -2)*(2046\/(-217))\/22. Which is the second smallest value? (a) 8 (b) l (c) 107\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.97*2\nAnswer: -3.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156 is divided by 27.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5 (b) -72 (c) -1041 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 585876 + -7.9.\nAnswer: 585868.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of 0*l + 1\/2*l**2 + 3. Let x(y) = y - 1. Let t(o) = -8*o + 5. Let s(f) = 2*t(f) + 10*x(f). Determine s(u(m)).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 230 a factor of 1575960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 14, -2 in descending order.\nAnswer: 14, 4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 481*w**2 + 20011*w - 696. Calculate j(435).\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -52 - 248. List the prime factors of w.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 277375111?\nAnswer: 13, 17, 29, 113, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*q = 10*q - 81*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -101\/42 > -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2479, 4, 2\/9 in descending order.\nAnswer: 4, 2\/9, -2479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kyv when three letters picked without replacement from {y: 4, o: 7, v: 1, r: 3, k: 3}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38578 - 38578 - 11*b.\nAnswer: -11*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -644727506*z**3 - 5154*z**2 - 7092 wrt z?\nAnswer: -3868365036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = 4*i, -2*o + 5*i - 318 = 294. Do o and -296 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 61 + 75 = 0. Let b = 15 - c. Let f = 55 + b. What are the prime factors of f?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-8))\/((-221)\/(-104)). What is the smallest value in 1, t, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/(-2) - -1)*2. Let v(n) = -b - 2*n - 28*n - 2*n + 0. Is v(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t + 12 - 1 = 0. List the prime factors of t\/(-2)*(-26 + -1090).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**2 + 10*q - 7. Is b(6) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 350544?\nAnswer: 2, 3, 67, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4824948 by -6.\nAnswer: 804158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/6750 and -29\/225000?\nAnswer: 675000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1800*t - 1796*t = -12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2895476 and 1603?\nAnswer: 20268332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -36? (a) 5 (b) 16 (c) -91 (d) 0.3 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -503*k - 60261. Determine v(-120).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, 5, 12, -57, 0.1 in decreasing order.\nAnswer: 12, 5, 0.1, -0.06, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 216 = -y. Let a = y + 107. Calculate the highest common divisor of 7 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -1. Let s(w) = 6*w + 6. Calculate s(i) + 2*v(i).\nAnswer: 6*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7.8, 0.8, 5, 2151.\nAnswer: 0.8, 5, 7.8, 2151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000357726718 rounded to 7 decimal places?\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*t**3 + 8*t**2 + 44*t**2 - 20*t**6 - 26*t**3 wrt t.\nAnswer: -2400*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1*sqrt(220)\/sqrt(5).\nAnswer: -2*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -23 in 4, -2, -1, 0.9, -2\/15, -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 7*i - 4. Let d be n(8). Sort 3, 0, d, -4 in decreasing order.\nAnswer: d, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-182)\/(-5) + 2\/(-5). Let a = 56 + -39. Let k = v - a. Does 19 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1356273 and 0.585.\nAnswer: 1356273.585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*4124\/8*-1. Suppose -6*d + 343 + g = 0. Suppose 6*l = 53 + d. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12577 is divided by 725.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.48 - -0.08. What is the second smallest value in 0, o, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 9*o**2 - 25*o - 53. Determine d(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 103884928 divided by 3246404?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2218+-122.07\nAnswer: -2340.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 921 in -0.5, 1\/6, 0.1, 2288?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a microsecond in nanoseconds?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8751 (base 9) to base 12.\nAnswer: 3891","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -4*w**2 + 203*w - 1. Let t(i) = -2*i**2 + 102*i. Determine 2*b(d) - 5*t(d).\nAnswer: 2*d**2 - 104*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 x when three letters picked without replacement from {i: 8, x: 5, y: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxqxqqxxq. What is prob of picking 1 q and 1 x?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3*z - 10 = 0, 4*g - 3 - 11 = -z. Suppose -4*x + 19 + 37 = 0. What is the smallest common multiple of g and x?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 7, d: 7}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + 12 + q - 21 + 9. Let v(h) = -3*h**2 - 4*h. What is -5*t(d) - v(d)?\nAnswer: -2*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 2012213?\nAnswer: 2012222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/279 (b) 2 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1506*v**2 - 114434*v + 1672.\nAnswer: -2*(v + 76)*(753*v - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 300221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-6) - ((-6)\/9 - -2). Suppose 6*u - 2530 = u - 3*w, 3*w = s. What are the prime factors of u?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8 take away -0.549?\nAnswer: -1.251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -7) + -5 + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 y when three letters picked without replacement from ffffyecpyf?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b**3 + 222404*b**2 + 2*b - 222406*b**2 - 2 + 14*b**3 - 2*b**3. What is t(1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k + 8384*v = 8379*v + 15, 4*k + 6*v - 34 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 5*k + 68 - 281, 0 = 2*b - k - 459. List the prime factors of b.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4385 equal to 4385?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n + 10*n - 439725 = -9*n. List the prime factors of n.\nAnswer: 5, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-3))\/((-4)\/(-6)). Let a = m - -3. Suppose n - 2*f = 84, -a*n - 2*n + 347 = 3*f. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 424.7 from 0.12.\nAnswer: -424.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-4 + 3) - 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 + 25. What is the tens digit of m*((-36)\/(-16) + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -10 (b) 0.4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 192*d**2*f + 2*d**2 - d*f - 52918*f wrt d?\nAnswer: 384*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 5, -1, -1\/6, -4472, 0.3, 4, 1597?\nAnswer: -4472","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -17059592 times 11\nAnswer: -187655512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*j - 63 = -11. Calculate the remainder when 2 is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-35) - 429\/22*(-1)\/35\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-3))\/(355\/142).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 323\/(-38) - 3\/(-2). Which is greater: -8 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 4*m + 26 - 28 - 5*m + 2*m**2 + m**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 23771*z - 23774*z - 90 = 0, -5*m + 349 = -15*z - 191 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30921*l**4 + 241*l**2 - 26.\nAnswer: 742104*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o - 35 + 45 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 110323872713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 12, -2, 0, 2 in decreasing order.\nAnswer: 12, 2, 0, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 10. Let x be ((-10)\/d)\/(2\/(-24)). Calculate the greatest common divisor of 120 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 374.55739 from -4.\nAnswer: -378.55739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 69002 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 3*d + 2*z = -17, 3*z - 42 = -3*d. Round d to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0252 and -0.2?\nAnswer: 0.00504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 258, -1099, -2456, -3813, -5170, -6527?\nAnswer: -7884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 3 + sqrt(588) - (sqrt(588) + sqrt(588) + 0)*-6)*-2 + -5)**2.\nAnswer: 8008*sqrt(3) + 397609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)*-2 - sqrt(176))*-3.\nAnswer: 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*a = -12, 4*o - 12 = 3*o + 3*a. Suppose 7*h - 54224 - 295496 = o. Suppose h = -3*y + 142060. What is y rounded to the nearest one thousand?\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 101694 from -3373.347.\nAnswer: -105067.347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 42774037 - -119404.4?\nAnswer: 42893441.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o + 8. Let j(k) = 37. Let h(f) = 13. Let z(x) = 17*h(x) - 6*j(x). Let y be (5\/(-2))\/(-5)*-10. What is y*z(n) - d(n)?\nAnswer: -2*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 3)\/(-2*(-2)\/8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 - -9.2. Let s = -8.9 + p. What is the smallest value in -0.2, s, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220*k = -212*k - 32 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 418 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 0. Let a = -51\/74 - 30\/37. What is the closest to 0 in a, -1\/2, o?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 961*a**5\/5 - 415369*a**4 - 26853374*a**3\/5 - 80077676*a**2\/5 + 10670152*a\/5 - 69568 = 0. What is a?\nAnswer: -8, -5, 2\/31, 2174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from {o: 5, v: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -26*t + 40. What is the second derivative of -1 - q**t + 4831*q**3 - 3*q**2 + 171*q - 4840*q**3 wrt q?\nAnswer: -54*q - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 43763 or 43760?\nAnswer: 43763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/27551 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 157494.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/1790 and (56\/18)\/((315577\/246)\/(-43))?\nAnswer: 5370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 14 - 166 = 0. Calculate the remainder when m is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -5*p + 5. Let v(b) = -b - 1. Let z(d) = 6*d - 12. Let x(m) = -3*v(m) + z(m). Calculate -11*f(g) - 6*x(g).\nAnswer: g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2017 - 44.8075.\nAnswer: 1972.1925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -990 = t + 4*s - 1055, 4*t - 3258 = 3*s - 3283 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 46, 86, 106, 94, 38, -74, -254, -514?\n\"Answer: -2*v**3 + 2*v**2 + 48*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2886 and 540.\nAnswer: 259740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -71.4 + 70. Is k less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*q + 59*q = -7. Suppose 2*v - b - 5 = 0, v + 5 = 5*b - 6. What is the third derivative of -3*s**6 + q*s**2 + 4*s**5 + 2*s**2 - v*s**5 wrt s?\nAnswer: -360*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b + 1. Let l be n(6). Suppose -a + 14 = -3*a. Let w = 4 + a. Sort w, 1\/12, l in descending order.\nAnswer: 1\/12, w, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225 is divided by 74.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 22968891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 7:49 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 15*c**2 - 4173*c + 16675. Give q(4).\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54312 is divided by 148?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -57 + -120. Let g = x + 175. Which is the nearest to 0.3? (a) -3 (b) g (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9165\/7 (b) 5 (c) -43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/2100*70)\/((1\/(-1))\/(-5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22309.1156 + -22407.1. Let u = s + 98. What is u rounded to 3 dps?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45396, 91029, 136662, 182295, 227928?\nAnswer: 273561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 7*v**3 - 7*v**2 - 4*v + 3. Let m be a(-1). Let w(p) = -p + 9. Let o(r) = 2*r - 13. Give m*w(t) - 5*o(t).\nAnswer: -3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226513?\nAnswer: 7, 32359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -108884\/9 - -12099. Which is the nearest to -5? (a) v (b) 3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 33423 + 310?\nAnswer: 34033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 22 = -3*w. Let 3*x**5 + x**3 - x**4 - x**5 - 3*x**5 + x**w + 0*x**4 = 0. What is x?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 1)\/(-1 + 0) - -3. Let n be 0 - ((-3)\/3 + 2). Let u be 1\/((-27)\/30 - n). Solve h*g + u = -5 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4635 and 8897655?\nAnswer: 1545","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 282.5 - 216. Let g = -48 + j. Round g to the nearest integer.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 676216 - 56?\nAnswer: 676140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of 0 - 1\/60*l**5 - l + 1\/2*l**2 - 1\/24*l**4 - 1\/3*l**3. Let v(d) be the first derivative of x(d). What is v(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (37506\/(-1596))\/(188\/(-688))?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 25650, -6 in increasing order.\nAnswer: -6, 3, 25650","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 6*s**2 + 10*s + 36. Let i(z) = -z**2 - 2*z - 7. Let a(k) = 2*c(k) + 11*i(k). Give a(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 16300.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.062 times -10.37211\nAnswer: 0.64307082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus -62059886?\nAnswer: -62059886.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -0.2, 1\/3, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 160\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**3 - 3*m**2 + 3*m - 3. Let p be u(2). Let y = -3 + p. Suppose 19 = -3*j + y*j. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*j**2 - 9*j**2 + 100*j + 24*j**2 + 93*j - 6*j**2.\nAnswer: -j**2 + 193*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 5*y**2 + 7*y + 93. Determine i(-9).\nAnswer: 354","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 10:52 AM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 1:12 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**(-6))*x*(x\/((((x*x**(-7)*x)\/x)\/x*x*x*x)\/x))\/x)\/((x\/(x**1*x))\/x**(-3\/5)))**(2\/21) assuming x is positive.\nAnswer: x**(124\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, t: 2, y: 1, i: 4}. What is prob of picking 1 n and 1 t?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 625094 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -6. Solve 2*v = -c*v - 20 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253374 is divided by 126673.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**0)**(4\/11)\/(u**(6\/11)\/((u\/(u\/u**14)*u)\/u)))**(16\/5) assuming u is positive.\nAnswer: u**(2368\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -4*p. Let v(j) be the second derivative of -j**4\/4 + 11*j**2 + 2*j. Let u(i) be the first derivative of v(i). Determine 5*u(l) - 8*w(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 27 + 26 - 79 + 31 - 2*r. Let k be t(-4). Is 12 greater than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -78 - -566. What are the prime factors of d?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -14 + 9 + 32*r - 28*r**2 + 2*r**3 - 22*r**3 + 21 = 0?\nAnswer: -2, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -14548757 and -1692989.\nAnswer: -16241746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/7424903 and 61\/438?\nAnswer: 44549418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 129327?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(42\/(-3)))\/((-9)\/(-441)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.53 + 25.53. Let p = 25.3 - a. Let w = -2\/601 - 1787\/4808. What is the second biggest value in p, w, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3*x**2. Let l(s) = -18737396*s. Determine q(l(w)).\nAnswer: -1053270026582448*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 greater than 133026\/1285?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 11*v = 7*v - 57606, -3*y + 172946 = 4*v. What are the prime factors of y?\nAnswer: 2, 7, 23, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49559904 a multiple of 684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99837.\nAnswer: 3, 11093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 22 = -9*k - 15, -5*p = 2*k - 19 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 0*r + 2*r**2 + 0*r. Let t(h) = -1011*h + 3325. Let b(f) = 1348*f - 4275. Let v(n) = 7*b(n) + 9*t(n). Give v(d(m)).\nAnswer: 674*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 40116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -107*178979\nAnswer: -19150753","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/5))**(1\/12))**50 assuming b is positive.\nAnswer: b**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 * -42\nAnswer: -2.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 374 a factor of 15967556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, u: 1, f: 5, d: 1, o: 5}. What is prob of picking 2 f?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one quarter of a microsecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 113.35397 rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -228, -459, -680, -885, -1068, -1223, -1344?\n\"Answer: n**3 - n**2 - 235*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 7*y**2 - 4*y + 10. Let p(l) = 13*l**2 - 8*l + 19. Let a(o) = -6*p(o) + 11*s(o). What is a(5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 26596150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 79200 rounded to the nearest one thousand?\nAnswer: 79000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(882) + 1)**2*-6.\nAnswer: -5298 - 252*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1\/1*(-10)\/(-70)*(-3)\/3\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -49816877, -99633758, -149450639?\n\"Answer: -49816881*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 10202*c - 30613. Calculate x(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0012684 to five decimal places.\nAnswer: 0.00127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 813376559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1*sqrt(13) + (sqrt(13) - sqrt(156)\/sqrt(108)) + -3.\nAnswer: 5*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66 and 374.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(2) - (0 + sqrt(2) - sqrt(2))*-1) + 0.\nAnswer: -2 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4618342?\nAnswer: 2, 613, 3767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 109640.6 to the nearest one hundred.\nAnswer: 109600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 10) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/3)\/(p*p**5*p)*(p*p\/(p\/(p*p**3*p)))**(12\/19) assuming p is positive.\nAnswer: p**(-202\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*d + 15 = 32*d. What is the highest common divisor of d and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 < -9185?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14443 and 1014?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 3:07 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.03 - 0.02. Let b = x + -0.21. What is the third smallest value in b, 3\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 408, 448, 514, 606, 724, 868, 1038?\nAnswer: 1234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6570\/162)\/((-510)\/204)*9*(-3)\/6?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) + 0 + -2)**2 + sqrt(52) + 5 - -6*(-1*sqrt(13) + 5 - (sqrt(13) - (sqrt(78)\/(2*sqrt(6)) + sqrt(13)))**2).\nAnswer: -12*sqrt(13) + 143\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 135, 281, 427, 573, 719, 865?\nAnswer: 1011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -2582386?\nAnswer: 2582389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -863274834 greater than 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o**3 + 144*o**2 + o - 103. What is b(48)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 55, 103, 133, 133, 91, -5, -167, -407?\n\"Answer: -2*g**3 + 3*g**2 + 53*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -528 - -8980\/17. Which is greater: -1\/2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 35 + 33?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 99\nAnswer: -5\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45317 is divided by 45247?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 3*r = -160, 1 - 81 = 2*p - 2*r. Which is greater: p or -59?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o + 8*o + 0*o - 2*o.\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15 - 15 - j**2 + (j + 12*j - 4*j)*(-1 + 1 + 2*j) - 5*j + 5*j + 2*j**2.\nAnswer: 19*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - -14. Suppose -3*s = d - 19, -3*s = 2*s - d - u. Calculate the least common multiple of 1 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 AM and 2:32 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.27 in -22, 3, -637, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4873 or 55872?\nAnswer: 55872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 391539367 a multiple of 9644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*c**2 + 103*c**2 + 3 - 2 + 0*c + 4*c - 58*c**2.\nAnswer: 141*c**2 + 4*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 3 + 7)*(4*o**2 - 3*o**2 + 0*o**2) - 4013*o**2 - 352758*o + 352758*o - 5*o**2 - 4*o**2 + 14*o**2 to y + h*o + n*o**2 and give n.\nAnswer: -4006","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -40 - -40. Solve w = -2*y - 3*g - 10, 1 = -3*y - 3*g - 8 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5100 and 80?\nAnswer: 20400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/100*-5 - (-7)\/(-55)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-5) - 16205\/225. Let g = -72 - x. Put g, 4, -4 in descending order.\nAnswer: 4, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2263947 is divided by 17151.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 624785 is divided by 699.\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 260136277621437 - 73793118008698640114\/283671. Let r = n - 126\/31519. Let v = 1591 - r. Find the common denominator of -62\/3 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7359713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -i**8\/336 + i**4\/24 + 5*i**2\/2 - 4*i. Let x(m) be the first derivative of f(m). Find the second derivative of x(y) wrt y.\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - -37. Suppose 0*z + 4*z = g. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 794 + -799 - ((-5 - -5) + (1 - -1))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -267 + 93. Let m = -117 - a. Let k = m + -31. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 132*a*n*r + 82*a*n + 219*a + 15*n**2*r - 19*n**2 - 168*r wrt r?\nAnswer: 132*a*n + 15*n**2 - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9.494 - 9.194. What is the closest to -160 in -3, q, 2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (84 - 84 + 25*h)*(-3 + 3 + 3*h**2) as b*h**3 + i*h**2 + p + w*h and give b.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**2 - 3*h - 4. Let q(b) = b**2 - 20 + 19 - b**2 + b**2. Let s(m) = 5*m**2 - 6. Let j(p) = 6*q(p) - s(p). Let l(n) = 3*j(n) + u(n). Give l(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-49)\/42*450\/(-1680)?\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 47298 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 68262 - 74169.1. Round s to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*t + 3*t + 55 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200*j + 470*j - 181*j + j**2.\nAnswer: j**2 + 89*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 5, -3, -2\/289?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 0*z = x - 1099, -2*z = -x + 1099. List the prime factors of x.\nAnswer: 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/3 and 17\/29.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, -2, -0.2, 2\/17 in ascending order.\nAnswer: -2, -0.2, 2\/17, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + 9*v - 17 = 0. Let p = -15 - v. Suppose -2*z + 114 = -p*l, -5*z + 2*z - 3*l = -195. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27268215 divided by 13?\nAnswer: -2097555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2461, -3482, -5183, -7564?\n\"Answer: -340*q**2 - q - 2120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -53 - -68. Calculate the remainder when 29 is divided by r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2408461, 19267637, 65028261, 154141057, 301056749, 520226061, 826099717?\n\"Answer: 2408454*z**3 - 2*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36 by -4140162.\nAnswer: -2\/230009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/4 (b) 2 (c) -4.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 115470 divided by -4?\nAnswer: -57735\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3, -3, -13, -27?\n\"Answer: -2*f**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*z + 1 + 0 - 1.\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3\/7 + 132*t**2\/7 + 1452*t\/7 + 5324\/7.\nAnswer: 4*(t + 11)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 9*s + 6. Let a be x(4). Let c = 30 + a. Suppose -c = -0*p - p. Calculate the remainder when p is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/11 + 6\/11*i + 6\/11*i**4 - 4\/11*i**2 - 2\/11*i**5 - 4\/11*i**3.\nAnswer: -2*(i - 1)**4*(i + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2003 + -123. What are the prime factors of q?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -4. Suppose 27 = -l*v + 6*v. Let p = 30 - 4. What is the remainder when p is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -144442431?\nAnswer: 144442432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -796*u = 2*f - 792*u - 70, 115 = 3*f - 4*u. What is the greatest common divisor of 17 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 826874 divided by -27\nAnswer: -826874\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y**4\/3 + 4088*y**3\/3 + 1681*y**2\/3 - 12264*y - 4908 = 0. What is y?\nAnswer: -3, -2\/5, 3, 818","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z + 84. Calculate t(-28).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 1 + -2 + 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7660.\nAnswer: 2, 5, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 49591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 8*l - 23. What is i(12)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34 + 34. Suppose 59 = t - o*t. List the prime factors of t.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) - ((sqrt(143) - ((2*sqrt(143) - sqrt(143)) + sqrt(143))) + sqrt(143) + sqrt(143)))\/sqrt(11) + sqrt(13)*-1 + 4.\nAnswer: -sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*r - 3*r + 5*r + 5 + r with respect to r.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 527\/1647 - 15\/61. Let l be 3 - (10\/(-15) - 195\/(-63)). Put -2\/5, 5, h, l in decreasing order.\nAnswer: 5, l, h, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 512 - 247. Suppose 3*k = -v + 310. Solve -11 + k = 4*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, 12, 0.7, -270\/13, 1\/3?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 37 - 22 = -p, 5*p + h = 351. Let l = -68 + p. Calculate the remainder when 41 is divided by (-1)\/((-1)\/11)*(-1 + l).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(136) - (-5*sqrt(136)*-1 - sqrt(136))))\/(sqrt(88)\/(3*(sqrt(11)*2 + sqrt(11)))).\nAnswer: -135*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n - 8*n + 9*n + 54 + 7*n. Let v be g(-8). What is the greatest common divisor of v and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33660 by -4.\nAnswer: -8415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -2. Suppose 5*p = -4*r - 1, 5*p - 2*r = 3*r - 10. Let i be (-1 - p)*l\/2. Solve g = -i*g + 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2010 rounded to the nearest 100?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -81\/13, -3, -2 in descending order.\nAnswer: 1, -2, -3, -81\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + 147.\nAnswer: 147.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 156980 and 51700?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of c**4\/4 + 7*c**3 - 9*c**2 + 107*c - 170. Let w be q(-22). Do w and 12 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 73.36002kg?\nAnswer: 73360.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.57 take away 14?\nAnswer: 53.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -4. Let j(y) = y**3 - y**2 - y + 1. Let n be j(u). Let v = 0 + n. Solve v*q + 6 = q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6975 by -5.\nAnswer: -1395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, 36, -5 in increasing order.\nAnswer: -5, 1, 4, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3097680 and 387210?\nAnswer: 3097680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + (9 - 3 - -1) + -30 + 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from elllqqlqqqellllqwql. Give prob of sequence ew.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*8.5\nAnswer: 0.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 359154 + -111?\nAnswer: 359043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -187*g - 903*g - 1460*g + 120*g - 44*g to l + b*g and give b.\nAnswer: -2474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 11*o. Let j(y) = 107*y. Determine i(j(k)).\nAnswer: 1177*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -22*b**3 - 33*b**2 - 9*b - 8. What are the prime factors of q(-6)?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-7)*(-316)\/(26860\/(-1547)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 31984 - 1?\nAnswer: 31983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1.6 (b) -2\/13 (c) -1575 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -233 and -1?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/295674 and 61\/69.\nAnswer: 6800502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1498 - 1502. Which is the closest to 0.1? (a) i (b) -0.01 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (141964\/2)\/((68\/(-6))\/(-17)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**4 + 171*s**3 + 2520*s**2 + 2352*s.\nAnswer: 3*s*(s + 1)*(s + 28)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 759 and 0.5?\nAnswer: 758.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -g**6\/60 - g**5\/20 - g**4\/24 - g**3\/3 - 3*g**2\/2 + 1. Let a(m) be the second derivative of w(m). What is a(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17010 and 190.\nAnswer: 323190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*b - 3 = -3 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 - -1.5. Let m = -0.2 + t. Let w = 1.96 + 0.04. What is the nearest to w in m, -2, 1\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -s**3\/3 + 8*s**2 - s - 55. What is the tens digit of l(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 times 1.3?\nAnswer: -10.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.2, 12, 71, 3\/7, -3, -1\/2.\nAnswer: -3, -1\/2, -0.2, 0, 3\/7, 12, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -517*i = -507*i + 40 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/7 - (-767)\/(-7). Let h = -71 - f. What are the prime factors of h?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -49*d**6\/15 + 21*d**5\/10 + 4*d**4 + 4*d**3\/3 - 7*d. Determine p so that q(p) = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 401743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -3. Suppose -32 = -2*o - s*o. Let -1 + 5*j**2 - 25*j**2 - 2*j + 10*j**5 + 5 - o*j**3 + 16*j**4 = 0. Calculate j.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/5*(-15)\/30*-3. What is the closest to 1 in 10, -0.05, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -142 + 143. Which is the third biggest value? (a) 0.3 (b) v (c) -15 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4 = 4*z, 5*i = 3*z - 7. Which is smaller: i or 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m + 1. Let l be -1*(0 - -1 - 1). Let p be 0 + 3 + 12\/(-4). Suppose -3*g + 4*x - 5 = p, l = -4*x - 2 - 2. What is i(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + 4c7?\nAnswer: 4c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 11:52 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 1. Calculate the common denominator of 139\/6 and ((-28)\/264)\/(d\/45).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) - sqrt(2736)*-4*1)*-6 + 0 + sqrt(1900) + -5 + sqrt(1900) + sqrt(1900) + (1 + (2 + sqrt(1900) - sqrt(1900)) - sqrt(1900)).\nAnswer: -340*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12253550 - -11?\nAnswer: -12253536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/((-5)\/(153 + -3)). Let d be 1\/3 + f\/27. Let g be (-39)\/d + 0 + -1. Solve -2*b - g = 2*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 346 and 59779631?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2\/5 - 33627*z\/5.\nAnswer: -3*z*(z + 11209)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 15*k**2 - 30*k - 47. Determine i(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 7*k + 712. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 1 = 3*d, 2*m = -d + 2 - 3. Let a(x) = 2*x**2 + x**3 - 16*x + 25*x - 13*x - d. Let i be a(-3). Solve -3*f + o + 9 = i, -4*o + 9*o = -f - 13 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -2*n - 4, -3*j + 5*n = -47. Let v(l) = -j*l**2 + 1 - 1. Let h(a) = -20*a. Let w(b) = 4*b. Let q(x) = h(x) + 6*w(x). Determine v(q(c)).\nAnswer: -144*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 6*c - 8 = 0, 2*t - 4414*c + 4417*c - 2 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 594 divide 119467656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (246\/164)\/((4\/2)\/(-24))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**4 + 127*d**3 - 1363*d**2 + 357*d + 882.\nAnswer: -(d - 21)**2*(d - 1)*(3*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u + 63. Let o be p(-4). What is the greatest common factor of 134 and o?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 8:03 AM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 3*a + 15173, 3039 = -116*v + 117*v - 5*a. What is the greatest common divisor of v and 410?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1329.\nAnswer: 3, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(1\/15)\/r))\/(r\/(r*r\/(r**(-16)\/r)))*(r**(-1\/5)*r)\/((r\/(r\/r**(1\/13)))\/r*r) assuming r is positive.\nAnswer: r**(4028\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1452, 4563, 9742, 16983, 26280?\nAnswer: 37627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 - -26. Suppose i = -h - 3*k - 0*k, -2*h + 3*k + 14 = 0. Suppose 0 = 2*q + 10, 0 = -h*z + 3*z + 5*q + 112. What are the prime factors of z?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-6) - (1557152\/(-96) - 2\/(-3)) a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139143307 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(3*(-3 + 4 + sqrt(11) + sqrt(22)\/sqrt(2) + 2)*-5 + -2))**2.\nAnswer: 101520*sqrt(11) + 435924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of 11*u**4\/12 - u**2\/2 - 2*u. Let o be p(1). Which is the third biggest value? (a) 3 (b) o (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/80214 and 155\/42.\nAnswer: 561498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 294880992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1434761*h**3 - 2542447*h**2?\nAnswer: -8608566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-2\/9))**(-6\/25)*(j\/j**(2\/5))**(-37) assuming j is positive.\nAnswer: j**(-1687\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 8, n: 5}. Give prob of picking 3 f.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-39)\/52)\/((-5)\/4)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -180745, -180492, -180235, -179974, -179709, -179440?\n\"Answer: 2*v**2 + 247*v - 180994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 167528869 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*g - 7*g. Suppose -80 = -g*u - 0*u. Differentiate u*q**4 - 23*q**4 - 13 - 8 + 4 with respect to q.\nAnswer: 68*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34179, -34243, -34353, -34515, -34735, -35019?\nAnswer: -35373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 158138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -2\/15, 2\/5, 1\/708, 5 in increasing order.\nAnswer: -0.5, -2\/15, 1\/708, 2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9353 and 188.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.04 + -0.22. Let x = d - -0.36. Let v be (-2)\/4*(-4)\/(-6). Which is the nearest to v? (a) x (b) 0 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -3*v**2\/2 - 399. Let c(r) = -90*r**2. Calculate c(m(p)).\nAnswer: -810*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 50 + 122 = 0. Let o(m) = -m**3 - 5*m**2 + 9*m + 6. Let d be o(-6). Let w = d + g. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3141 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w + 2. Let l(z) = 4*z + 3. Calculate 5*j(q) - 4*l(q).\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/5896 and 83\/42880?\nAnswer: 471680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, m: 1, t: 4, s: 6, z: 3, a: 1}. What is prob of sequence oot?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.100294 to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(76)\/sqrt(4))**2 + sqrt(684)*-1.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/6 + 10\/6. Suppose -l - f = 1. Let j = 10 + -6. Which is the biggest value? (a) 1\/4 (b) l (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(576)\/sqrt(4))\/sqrt(3))**2*1 + 3*(sqrt(243) + 0) + 4.\nAnswer: 27*sqrt(3) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.35 + 0.35. Let o = -5.93 + -0.37. Let x = o + 6. What is the biggest value in v, 3, x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32684 divided by 16342\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 26 = -l - 4*l, 4 = d. Let k = 2.14 + -0.64. Put k, l, 4 in increasing order.\nAnswer: l, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2522?\nAnswer: 2, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -16*n**2 + 1132*n + 294. What is h(71)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + c = 0. Let s(w) = c*w - 5*w + 3*w. Let m(h) = 1 + 0 - 7*h - 1. Give m(s(u)).\nAnswer: 14*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1559030267?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 169196767 and 2907?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*f - 5*b - 69 = 0, 66 = f - 2*b. Is f a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*3\/2 - 6. Put 4, -3, a in descending order.\nAnswer: 4, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 50.5 and 140.\nAnswer: 190.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5 = 0, 3*p = m - 0*m + 34. Let o = p + -8. Solve -o*z + 10 = -0*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 6. Solve 5*p - d + 5*d - 45 = 0, 3*p - k*d = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*v + 32 = 5*c, 4*c - 59 = v. Let s = c - 10. Suppose 4*w = -4*q - 0*w - 8, 5*q - w = 2. Solve 2*p - u - 8 = q, -p + 0*u + 15 = s*u for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*o**5 + 10*o**4 - o**2 - 32251*o?\nAnswer: 40*o**3 + 120*o**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1424538?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6140 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(209) - 2*sqrt(209))*2*1)\/(-1*sqrt(396) - sqrt(33)\/sqrt(3)*4).\nAnswer: -6*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3329 and 316800956.\nAnswer: 3329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 12. Suppose 250 - 70 = 4*r. Calculate the highest common factor of r and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.939588us in minutes?\nAnswer: 0.0000004656598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = g + 50, -4*b = g - 5*b + 34. Let q = -13 - g. Solve 3*a - 5*m - 3 + 28 = 0, -q = -5*m for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence voo when three letters picked without replacement from {v: 2, o: 3, e: 2, l: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -w + 59119, 2*j + w + 59113 = 6*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 312003121201?\nAnswer: 312003121132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30787\/2 + 15989. Let q = -591 + h. Find l, given that -q*l**3 - 7\/2*l**2 + 0 + l = 0.\nAnswer: -1, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 less than or equal to 310155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 229 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 36*k - 8*k**2 + 2 - 41*k - 18*k**3 + 17*k**3. Calculate h(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - 8*f - 5. Let g be 0 + -4 - (0 - -4). Determine k(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34 + -5. Let h = l - 25. Solve h*b = 3*b + 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 3. Let u = j + -3. Find the second derivative of -m - u*m + 0*m**5 - m**5 wrt m.\nAnswer: -20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 11752.\nAnswer: -3\/11752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w - 18. Let r be g(-9). Solve r = -0*v - 2*v - 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14394 + 14391. Sort 0, 13, z, -1 in decreasing order.\nAnswer: 13, 0, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffbhjbbbwb. Give prob of sequence bj.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a1656 + -9?\nAnswer: a164d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 227407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 42134680?\nAnswer: -126404040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - -3)\/((-6)\/(-21)). Let r be (-26)\/l + (-6)\/21. Let v(t) = t**2 + 4*t - 2. Let j be v(r). Which is the smallest value? (a) j (b) -2\/13 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196696211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.057 times 9572?\nAnswer: -545.604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-42)\/(-18))\/(1\/(-6)). What are the prime factors of (-30)\/105 - 228\/i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 0*i**2 + 2*i**2 - 4*i**2. Let y(g) = -2*g + 5*g**2 + 5*g - 3*g. What is v(y(s))?\nAnswer: -50*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*k - 8*k**3 - 17*k + 14*k**4 - 19*k to r*k**3 + m*k**2 + x*k + i + f*k**4 and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 - 34. Let v = u + -7. Which is the third smallest value? (a) -1 (b) v (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**25\/(m\/(m**(-25)*m))*m**(2\/17)\/((m**(-19)\/m)\/m) assuming m is positive.\nAnswer: m**(359\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c + 15. Suppose -30 = -2*r - 0. What is the remainder when k(r) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -o + 24, o = -4*o - 5*c + 130. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + g - g)*(-2*g + 2*g - 2*g**4 + 2*g**3 - 2*g**3 - g**4 + (g**2 - 5 + 5)*(2*g**2 + 2 - 2)).\nAnswer: 3*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-70 + 65)\/(-2 - -3). Let i(u) = -6*u**3 - 3*u**2 - u + 1. Let n(q) = 7*q**3 + 4*q**2 + q - 1. Calculate w*n(v) - 6*i(v).\nAnswer: v**3 - 2*v**2 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/9)*t**(-1\/3))\/(((t\/t**(2\/19))\/t)\/(t*t**(-3\/2)*t*t)) assuming t is positive.\nAnswer: t**(397\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 163697, 163699, 163715, 163751, 163813, 163907, 164039?\nAnswer: 164215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + i = 12, -3*z + 31 = i + 3*i. Suppose 8*t - z = 23. What is the derivative of -6*m - 7*m - 4 + 13 + t wrt m?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*(-255)\/945*3.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 8 + 1)*(3*q**2 - 3*q**2 + 6*q**2 + (0*q + 0*q + 2*q)*(-q - 2 + 2)).\nAnswer: -28*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 10 - 17*a**2 + 0*a + 0*a**3 + 1\/24*a**4. Let y(d) be the second derivative of j(d). Let v(x) = 8*x - 2. Give v(u) - 4*y(u).\nAnswer: 4*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - -9 - (4 - 0). Solve 3*q = -5*d + 9, 0 = -d + 4*d + u*q - 1 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 8:55 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 divided by 18?\nAnswer: 43\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + -6. Let j be (-11)\/q - 10\/4. Let z be 5\/(-12) - 4\/(-6). What is the closest to z in 0.3, 2\/9, j?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -39 or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 347 times 134?\nAnswer: 46498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(2057) + (0 + sqrt(2057))**2.\nAnswer: 11*sqrt(17) + 2054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.012 rounded to 1 dp?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**(-6))\/v*v*v**(-6))**1 assuming v is positive.\nAnswer: v**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5202111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 110*t**3 - t**2 + 36*t + 2. Let y(r) = -220*r**3 + 3*r**2 - 74*r - 5. Let m(o) = 5*f(o) + 2*y(o). Find the third derivative of m(b) wrt b.\nAnswer: 660","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -935 - -935.0000639. Round r to six decimal places.\nAnswer: 0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -8 - 4\/(8\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-6)\/4*(-5 - (-77067)\/(-27))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 140620, 281188, 421758, 562330, 702904, 843480?\nAnswer: 984058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -33*z**2 + 2781*z - 11115. Calculate k(4).\nAnswer: -519","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 2\/5 (c) -25059 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 695475 and 1.4367.\nAnswer: 695476.4367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 - 279\/8. Which is the closest to 2? (a) o (b) -0.3 (c) 0.1 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 a when two letters picked without replacement from {a: 6, i: 10, l: 4}.\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 83 and 629887.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8209 is divided by 513.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 607 a factor of 1223057047?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 336315?\nAnswer: -336316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -3 + (-6 - 3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 9. Which is the closest to 0.1? (a) x (b) 3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 10) in base 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8736 - 60684\/7. Let v = 67 - h. What is the third smallest value in v, -4, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6220 + 6219.9. What is the nearest to -97\/3 in 1, s, 0.2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -7*h**5\/5 + 7*h**3\/3 + 3. What is the third derivative of n(t) wrt t?\nAnswer: -168*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l + 2*p + 2*p + 8, 4*l = 4*p - 32 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.7676 grams to milligrams.\nAnswer: 7767.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(20)*1)\/((sqrt(10) - sqrt(10)*-2)*4).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.100123 + 7.1. What is q rounded to 5 decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -320 - -320.000000279. Round u to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*b + 10*b. Let x(p) = p**3 + 3*p**2 + p + 7401. Is x(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*x**2 - 6*x**2 + 2*x**3 - 15*x - 4*x**3 + 8*x + 21*x.\nAnswer: -2*x*(x - 1)*(x + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 13*m = -9*m - 2244, -402 = -a + 7*m. Calculate the highest common divisor of a and 2516.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 4*o**3 + 80*o**2 + 389*o - 11. Let r(k) = k**3 + 20*k**2 + 97*k - 3. Let h(j) = -6*m(j) + 22*r(j). Let h(f) = 0. What is f?\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 0. Let s(j) = j - 6. Let b be s(7). What is the nearest to 2 in -0.4, b, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r**4 - 5*r**4 - 7*r**4 + (2*r**3 - 4*r**3 - r**3)*(0 + 1 + 0)*(-2*r + 3*r - 2*r) - 2*r**4 + 2*r**4 - 2*r**4.\nAnswer: -7*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 2\/17, -4, 0.07?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + t = -6. Let g(a) be the first derivative of 0*a**2 + t*a + 1 + 1\/2*a**4 + 0*a**3. Find the first derivative of g(c) wrt c.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -871 + 872. Which is the nearest to v? (a) 0.4 (b) 8 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 17\/4 of a kilometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 4 + 16 = 0. Let u be (n - (-10)\/(-5))\/(-1). Let d(c) = 4*c - 24. Let y be d(u). Solve -3*x = -y*x + 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 11*l + 11. Let s be g(-1). What is the units digit of (-136)\/(s + (-20)\/12 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*f - 133 = 340. Which is smaller: -2\/9 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/20)\/(19\/(-304))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1000)\/(-150))\/(12\/9). Let z be (-3)\/3 - (-6 + -5 + 8). Let f = -2 + 5. Solve f*u = z*u - x for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*d - 2)*(-6 + 1 + 4)*(2 + 5289*d**3 + 1 - 5287*d**3).\nAnswer: -4*d**4 - 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -848*x = -4358*x - 35100 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 33*f + 126. Let n be i(-28). What are the prime factors of 651\/n*168\/(-18)?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 2*g = -33, g - 159 = -89*r + 120*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-42)\/6*10\/(-14). Let p = -172 + 511\/3. Which is the closest to -0.2? (a) p (b) -3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6, a: 2}. Give prob of sequence akk.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yytt when four letters picked without replacement from {r: 4, y: 8, t: 2}.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 47061.43 times -0.18?\nAnswer: -8471.0574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 511679\/134*3\/(-6). Are p and -1910 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.31, 0.2, 26, -81?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d + 9 = -7*d. Suppose 35 = -14*y + 19*y. Let c = -6 + y. Calculate the remainder when d is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, g: 1, y: 2}. What is prob of sequence gz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -96 + 94, -701*r = 70*r + 2*w - 1538 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 161 + -157. Suppose 900 = -r + o*r. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 7312107829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2725091, -2725097, -2725109, -2725127?\nAnswer: -2725151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-126)\/35)\/((-4)\/10). Let x(v) = v**2 - 6*v - 12. Let w be x(q). Calculate the greatest common factor of w and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -5 (c) -65\/16 (d) 1 (e) 3\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15662 - 13297037\/849. Calculate the common denominator of m and -99\/1132.\nAnswer: 3396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 53*t**2 + 37*t - 5. Determine i(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -3*u, -5*t + 16*u = 23*u + 13 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-15)*o)**(-3\/35) assuming o is positive.\nAnswer: o**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -1, -2*w = -s - 2*s + 7. Suppose 2*b + 15 = -s*b - 3*k, 2*b - 4*k + 6 = 0. Let i be 1\/(b\/(6\/19)). Sort 4\/3, 2\/3, i in ascending order.\nAnswer: i, 2\/3, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 15 = -4*s, -7*s - 4*l + 20 = -3*s. Suppose 4*n - 3*a = 136, s = -2*n + 7*n - 2*a - 170. Is n a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 845, 1638, 2331, 2924, 3417?\nAnswer: 3810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - f. Let r(a) = 2*a - 1. Let s = -77 - -75. Suppose -3*u = -6, 43 = 5*j - 4*u + 6. Let v = j - 10. Determine s*z(g) + v*r(g).\nAnswer: 2*g**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - h + 7629 = 0, 4*z - 8190 = -3*h + 1977. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1066*h**4 - 13526*h**2 - 16685268*h wrt h?\nAnswer: -12792*h**2 - 27052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -3*l**3\/2 + 129*l**2 - 7335*l\/2 + 34452 = 0?\nAnswer: 24, 29, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 379, 386, 393, 400?\n\"Answer: 7*h + 372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2181*w**2 + 5948*w**2 - 1883*w**2 - 1886*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4*w**2 + 86*w + 227. Determine q(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 287.\nAnswer: 4\/287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/(-35))\/(-4) - ((-23110)\/2800 - -8)\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 5:28 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -387 = -6*d - 375 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*s**2 - 110*s**2 + 356*s**2 - 178*s**2 - 153*s**2.\nAnswer: -183*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -47, -73, -77, -59, -19?\n\"Answer: 11*k**2 - 59*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1008 + 1010. Solve 2*h - 1 = 3*s - w*h, -s = 3*h + 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 4*b**2 + 3*b. Let m be j(-5). Let y be -1 + (-3 - m\/12). Let x be (-4)\/6 + 32\/84. What is the third biggest value in x, -1\/7, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4 - 0.3. Let x = 2.9 + -2.4. What is the closest to w in 0.02, -2, x?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1142152, 1141380, 1140608, 1139836, 1139064?\nAnswer: 1138292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 540 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 0*p = -a + 13, -4*p + 8 = a. Solve 0 = 69*j + a*j + 485 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3285185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 251, 822, 1395, 1970, 2547?\n\"Answer: r**2 + 568*r - 318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/8*(4 - 0). Let u = -10 + 10. Solve -5 = -p*o - u for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/3 (b) 9 (c) -21 (d) -5 (e) 0.09 (f) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, k: 8}. What is prob of picking 2 k and 2 n?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-2*3))\/(7\/(-14))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/3)\/((-3)\/(-18)). Let b(a) = 16*a + 16. Let z(p) = 3*p + 3. Suppose -10*n - 198 = -n. Calculate n*z(y) + x*b(y).\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5b6bb - -36?\nAnswer: 5b724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7875421 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: List the prime factors of 3306461.\nAnswer: 3306461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sbslbsbxsbbsssessbss. Give prob of sequence ebs.\nAnswer: 11\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**19*a*a**(21\/2))\/(((a*a**(2\/69))\/a)\/(a**(-2\/7)\/a)) assuming a is positive.\nAnswer: a**(28193\/966)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 7 + 7 + 12*y - 13 + 4 - 10*y - 6*y. Suppose 0 = -2*q - 3*q + 5. Calculate z(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.256 + 6892?\nAnswer: 6888.744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3132, -3087, -3042, -2997, -2952, -2907?\n\"Answer: 45*f - 3177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7167731 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*m = 19*m. What is the closest to 1 in -8, -0.09, -1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*(-4)\/(-12))\/(2\/(18\/1))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*n - 1608 - 387 = 2645 for n.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -264, -401, -544, -699, -872, -1069, -1296, -1559?\n\"Answer: -z**3 + 3*z**2 - 139*z - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 482, 353, 184, -31, -298, -623, -1012, -1471?\n\"Answer: -b**3 - 14*b**2 - 80*b + 577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of -m**5\/20 + m**4\/4 - m**3\/6 + m**2 + 12*m. Let p be z(2). Solve -4*d = -2*q + 12, 5*d - q - 7 = -p*q for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 202\/9 + -395\/18. What is the third smallest value in x, -4, -1\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -125521\nAnswer: 125521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 509 + 776. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3431655965?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/(-28)*(-8)\/10 + 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 26 + 3*z**4 - z**2 - 5*z**4 + 3*z**3 + z - 23 in the form s*z + k*z**2 + b*z**4 + p*z**3 + l and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggogngggolllggngho. Give prob of sequence go.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128167.\nAnswer: 13, 9859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 8*o + 44. Let k(c) = -3*c**2 - 27*c + 128. Determine 6*k(h) - 17*u(h).\nAnswer: -h**2 - 26*h + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24758*j**4 - 95114*j**2 wrt j?\nAnswer: -594192*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p + 261383*a = 261385*a - 18, 13 = p + a for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-513)\/(-144))\/(9\/(-6)) and -109\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h - 2*h**4 + h**3 - 44*h**2 + 1 + 44*h**2 + h to the form u*h**2 + c + j*h + l*h**3 + s*h**4 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7191 and 16779.\nAnswer: 50337","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (7 + -7 - 9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by 64.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(245) + 2)**2 - ((sqrt(245) + sqrt(245) + 0 + sqrt(245) + 5 - sqrt(245))**2 + sqrt(245)))*3.\nAnswer: -2280 - 441*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qc when two letters picked without replacement from {s: 3, q: 4, d: 1, c: 1, z: 1, i: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 251 - -4572807965175\nAnswer: 4572807965426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68 and 2156871396?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -39 bigger than -40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 1119*o**2 + 6*o + 6. Let v(m) = 342411*m**2 + 1835*m + 1835. Calculate 1835*g(c) - 6*v(c).\nAnswer: -1101*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-105)\/(-12))\/5*(-2650)\/(-3710)*2\/(-4)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + (-17 - (-5 + 2))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5979 divide 643125156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*l + 3*f + 33 = -80*l, 2*l + f + 11 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.409691485 to 5 dps.\nAnswer: 0.40969","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192)*-1 + 5 - sqrt(192)) + -3)**2.\nAnswer: -64*sqrt(3) + 772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = w + 56 - 204, 754 = 5*z + 3*w. What is the remainder when 235 is divided by z?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + 5*r - 6. Let s be v(-10). Let f = 28 - s. Let g = f + 11. Put 1, 5, g in decreasing order.\nAnswer: 5, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -20. Suppose -5*w + 64 = -r. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1*sqrt(44)\/sqrt(4) + sqrt(44)\/sqrt(4)*4 - (5 + (5 + sqrt(44)\/sqrt(4) - sqrt(11)) + (sqrt(11) - (sqrt(11) + (-1 + sqrt(11))*-3)))**2.\nAnswer: -150 - 37*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 9:44 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 172 = -24*b - 143 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-879)\/14)\/(-3) + (-1769124)\/84244?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -195\/8, 21 in increasing order.\nAnswer: -195\/8, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.9 and 1.8.\nAnswer: -10.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**4 - 5 + 0*o**4 + 3 + 2*o**2 to i*o**2 + l*o**4 + x + y*o**3 + d*o and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 209\/15, 4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/(-6) + 2)*(2626\/(-104) + 23)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130850218493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -836128656 divided by 792.\nAnswer: -1055718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 72.599998998 + -72.6. Round m to seven dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 7*q**5 - 6*q**2 + 5*q - 5. Let d(j) = 3*j**5 - 3*j**2 + 2*j - 2. Let v(h) = 10*d(h) - 4*r(h). Find the third derivative of v(i) wrt i.\nAnswer: 120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62804*0.0137.\nAnswer: 860.4148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -82*i + 75*i + 4179. Let m = i + -594. Which is the fourth smallest value? (a) m (b) -3\/2 (c) -5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 26*m + 4. Let q be x(3). Let y be (q\/3 - 0)\/4. Let n = -187\/30 + y. Which is bigger: 2 or n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9\/27)\/(1\/(-27)). Let z be (6\/(-5))\/(w\/30). Solve 5*a - z = 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (151 - 147)\/(11\/3 - 1). Let z = -5 - -4. Sort z, p, -3\/8.\nAnswer: z, -3\/8, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 - -12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 71, 110, 185, 308, 491, 746?\nAnswer: 1085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*n - 28*n = 9. Suppose -n*r - 32 = -44. Solve -1 = -5*p + r*a, 2*a + 2*a + 7 = 3*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.7 - 835.\nAnswer: -830.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 48, -1.\nAnswer: -1, -2\/3, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-58)\/(-87))\/(4\/(-3))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 9. Suppose -l*j = -4*j. Suppose 14*y - 13*y - 54 = j. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 188.75nm in micrometers?\nAnswer: 0.18875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + 2)*6*(-2)\/(-4). Let q be u\/(-8)*8\/(-3). Solve -3*o = 3*g - q*o - 2, -4 = -g + 2*o for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16594690725598497\/105595403017808 - -584\/12065288279. Let a = -60456\/547 + u. Let d = a + -504\/11. Find the common denominator of 75\/8 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of s**6\/30 + 2*s**2 + 7*s. Differentiate v(f) wrt f.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - ((4 - 4) + 2)) + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 5 (c) 10 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -23761, -47523, -71285, -95047, -118809, -142571?\n\"Answer: -23762*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 852793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 282259468 to the nearest integer?\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + s**2 + 4*s + 3. Let v(z) = -z**2 - 10*z + 9. Let o be v(-11). Let p be k(o). Suppose -570 = -p*d + 375. Does 20 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 719.25 to the nearest integer.\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1715*j**2*y**2 - 2*j**2*y - 14*j**2 - 972*j*y**2 - 410513*j + 2*y**2 wrt y.\nAnswer: -3430*j**2 - 1944*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, 1, -1, 0.24 in decreasing order.\nAnswer: 1, 0.24, -3\/8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 17 + 5625\/(-330) + (-2238)\/132\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 13) in base 9?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*z + 7*z + z - 7*z.\nAnswer: 13*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 + h**2 - 5*h**2 - h**2 + 5*h**2 + (-2*h + h - h)*(-h - 2*h + 4*h) + 57 - 57 - 29*h**2 as j*h**2 + s + c*h and give j.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2251846ms in nanoseconds?\nAnswer: 225184.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13451232 to the power of 1\/2, to the nearest integer?\nAnswer: 3668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/194 and 31\/16?\nAnswer: 1552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41 - 43. Which is the third smallest value? (a) 3\/4 (b) 0.4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30081302 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -11*u**3 + 1. Let h be i(1). Let g(r) = -r**2 - 2*r + 2. Let n be g(-4). Let j be n\/h*(-4)\/(-6). Which is smaller: 0.3 or j?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*s + 0*s - 2*s**2)*(-s - 7 + 0 + 1) to b*s**3 + x + r*s**2 + m*s and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 2, 9, 1\/4, -0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*x**3 - 491377*x**2 - x + 754529 wrt x.\nAnswer: 12*x - 982754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + 0)\/((-4)\/6). Let f be (b + 1)\/(-2) + 2. Let w(r) = r**3 - r**2 - 5*r + 2. Let p be w(f). Solve -3*i + 0 + 14 = 5*d, 4*d - 3*i = -p for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*k + 83 = 2*c, 0 = -2*c + 2*k + 74. Let u be (3\/(-2))\/(c\/(-110)). Put u, 1\/5, -0.5, -3\/7 in decreasing order.\nAnswer: u, 1\/5, -3\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 20 - 26. Suppose -x + 4 = 2*l + w, 10 = -4*l + 5*w. Suppose 3*z + z = -5*d - 5, 3*z + 2*d + 2 = l. Solve z = -3*i - 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-20)*10*7\/238.\nAnswer: -1\/68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + 24*u + 35. Calculate q(-10).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 3*h**2\/2 + 26*h + 9. Let a(m) = m + 9. Let c(w) = 8*a(w) - 3*g(w). Determine c(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 0*x - 9 - 2*x + (4*x + 0*x - x)*(1 + 0 - 3) in the form c + h*x and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -6601, -1, 3, 5, 4.\nAnswer: -6601, -2, -1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -76ffe5f?\nAnswer: 76ffe64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 48010*b**3 + b**2*p - 14*b**2 + 9245701*p wrt b?\nAnswer: 144030*b**2 + 2*b*p - 28*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-184)\/7)\/(7834\/27419).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 579*m + 1754*m - 918*m + 2420*m to o*m + h and give o.\nAnswer: 3835","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -32 - -2567194141\nAnswer: 2567194109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -121 + 124. Suppose -i + 58 = -4*h - 12, -z*i = -5*h - 189. Calculate the least common multiple of i and 18.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -76*u + 72*u - 12, -u = -2*n + 27. Solve -2*o - 10 = 4*h, n = -3*o - 175*h + 172*h for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 144.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/3 - (-6)\/(-9). Suppose -4*h + 13 = -o, 2*h + 2*o + 0 = b. Let t(w) = -3*w**3 + w. Let x be t(-1). Solve -h*d - x = -4*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -13*b**4\/12 + b**3\/3 + b**2\/2 - 404*b. Give l(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*c = 120. Find the common denominator of c and (-1 - 3476\/(-720)) + (-23)\/(-115).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7 - (6 - 28\/(-49)). What is the closest to -1 in -0.4, 0.13, n?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3 + 354*s**2 + 357*s.\nAnswer: -3*s*(s - 119)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -138148.9 and 118?\nAnswer: -16301570.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2\/8 - 10605*t\/8.\nAnswer: 3*t*(t - 3535)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.017618 rounded to four decimal places?\nAnswer: -0.0176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -21 and -1.1808834.\nAnswer: -22.1808834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j**3 - 315*j**2 - 300*j + 620 = 0.\nAnswer: -62, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 5*n + 10, -f = 3*n - 4*f + 18. Let m(k) = 5*k**2 - 4*k - 4. Let t(q) = 9*q**2 - 7*q - 7. Let b = -2 + 9. Give b*m(c) + n*t(c).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -9*f + 7*f - 19230, f = -2*h + 9605. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7241770.\nAnswer: 2, 5, 653, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -539, -1095, -1673, -2285, -2943, -3659, -4445?\nAnswer: -5313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131 = -7*y - 443. Let l = y - -80. Let o be l\/7 + (-17)\/14. Which is the third biggest value? (a) 2\/5 (b) o (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 - -47. Let d = -97 - 260. Let c be 1\/(354\/d + 1) - -1. What is the highest common factor of c and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p + 97 = 132 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 49*t**2 + 737*t - 1344. Calculate o(-62).\nAnswer: 2934","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (3\/(-9))\/((-1)\/9) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1422, 0, -7528, -2 in decreasing order.\nAnswer: 0, -2, -1422, -7528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(85)\/sqrt(5)*-6.\nAnswer: -6*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -812955*p = -812303*p - 69112 for p.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -265*d**3 + 1611*d**2 - 126*d.\nAnswer: -d*(d - 6)*(265*d - 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -54 - (-6 + 10 + -14 + 1 + 10).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -6*k + 38. Suppose -3*m = k*f + 2*f - 25, 5*f - 32 = -4*m. Suppose 242 + 247 = m*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -19, -10.05, -11, 1.1?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -56?\nAnswer: -5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + 0. Let j(g) = -2*g**2 - g - 5. Let x(f) = 4*f**2 + 2*f + 8. Let n(y) = -2*y**2 - y - 4. Let a(d) = -5*n(d) - 2*x(d). What is t*a(q) + 4*j(q)?\nAnswer: 2*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(38) - (sqrt(380)*-1)\/sqrt(10))\/(sqrt(98)*-1))**2.\nAnswer: 2736\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2577?\nAnswer: 3, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2 + (2 - 0 - (49 - (-23 + 81))).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 198040240?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.05 + 0.55. Suppose -3*i - 5*k = 2, 5*i - 8 = -2*k + 5*k. Which is the nearest to -1? (a) i (b) -1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160 + 92 + 102 - b**3.\nAnswer: -b**3 + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -204.9423 bigger than -3\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**1)**(10\/11)\/(n**(-1\/6)*n)**16)**(-50) assuming n is positive.\nAnswer: n**(20500\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*t - 650 = 14*t. Suppose -266 - t = -4*f. Round f to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 12:06 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 24331 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + m + 21 = -0*s, -437 + 440 = -2*s - 3*m for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -67 + 86. Let l be (n - 24 - (-8)\/2)\/(-1). Let a(r) = 9*r**2 + 1. What is a(l)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 11*b - 384. Let k be x(35). Let a(m) = 2*m**2 - 8*m + 6. Let p be a(5). Calculate the common denominator of 9\/10 and (k\/36)\/(p\/(-1032)).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 31b (base 15) to base 11\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(208) + sqrt(208) + sqrt(208)*1) + 4 + 2*sqrt(208))**2 - 6*(sqrt(208) + ((sqrt(208) + 1)*-1 - sqrt(208)))**2*-6) + 5.\nAnswer: -32*sqrt(13) + 28345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j**2\/6 - 985*j\/3 - 9725\/6 = 0.\nAnswer: -389, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 64994342 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, c: 1, g: 7, f: 9}. Give prob of picking 1 f, 1 c, and 2 o.\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 497?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 31*f**2 + 80*f + 158. Let k be w(-27). Solve -919*l + k*l = -5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 195758, 391559, 587360, 783161?\n\"Answer: 195801*z - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 6*d = -84. Let t = 7 + d. Let i be 4\/t + 493\/85. Which is the smallest value? (a) i (b) 2\/3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -100375\/12 + 46189\/6. Let q = 667 + z. Calculate the common denominator of q and (-12)\/(-78) + (-13139)\/(-2730).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11\/2 + 7. Let v(w) be the second derivative of 1\/20*w**5 + 0*w**3 + 0 + m*w**2 + 0*w**4 + 3*w. What is the derivative of v(i) wrt i?\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (10 - (8 + -21 + 11)) - 11\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and -20.89.\nAnswer: -20.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 4*n - 3*i + 145, 0 = -i. Let v(t) = -2*t**3 + 60*t**2 - 35*t + 63. List the prime factors of v(n).\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 375 - 435. Let d = 305 - x. Does 13 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 0 = 2, -2*d = -2*p - 26. Let v = 12927 + -12919. Suppose -67 = -d*r + v. What is the greatest common factor of 35 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (2 + -3)) + 1 + (28 - 27).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/15, 0, -0.1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3404424, 3404409, 3404390, 3404367, 3404340, 3404309, 3404274?\nAnswer: 3404235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -j - 33, j - 36 = -3*t - 13. Let g be 67\/t - 12\/21. Calculate the highest common factor of g and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*p - 42106 = -43036 for p.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-1*-1*(((sqrt(1584) + 1)*4 - sqrt(1584)) + ((sqrt(1584)*2 + sqrt(1584) - sqrt(1584))*5)**2 + -5).\nAnswer: 108*sqrt(11) + 475197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6531948 is divided by 59?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1154 at most -1055?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 22753.\nAnswer: 6\/22753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*a + 8 = -153*a - 2*w, 4*w = -20 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3196 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttttttttmmmt. Give prob of picking 2 t and 1 m.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 q when four letters picked without replacement from {a: 1, q: 3, h: 11}?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2747 + 1281. Let s = 14581\/10 + v. What is the common denominator of s and 197\/210?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-24)\/(-64) - (-58)\/16. Suppose 3*l + 0*w = 2*w + 1257, -l = d*w - 405. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54356300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -223 = -2*l + l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40 - 40. Let v = -65 + 323\/5. Let u = -4.85 - -0.85. Which is the closest to l? (a) v (b) 3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5\/4 + 47\/20. What is the second smallest value in n, -3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -125 + 116. Which is greater: i or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1368*m = 671*m + 65435 + 32437 for m.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 2*h - 3. Let g be b(-3). Suppose p - 1 = -g*p. Let y(q) = 2*q - q + 1 + p. Determine y(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 61566217 and 1798?\nAnswer: 899","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127182790?\nAnswer: 2, 5, 7, 73, 24889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/(9\/364))\/(26\/117). Is (h\/8)\/(15\/(-40)) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, -3, -0.07, -1, -39 in increasing order.\nAnswer: -39, -3, -1, -0.07, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124355.\nAnswer: 5, 7, 11, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 33553, 33553, 33563, 33589, 33637, 33713?\n\"Answer: o**3 - o**2 - 4*o + 33557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/3)\/(6\/(-9)). Let a(p) = p + 6. Let w(s) = -334. Let t(d) = 143. Let r(v) = 7*t(v) + 3*w(v). Calculate q*a(z) - 11*r(z).\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/40 of a meter?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 513182 is divided by 85516.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 203 - 91. Let y be (-4)\/(-18) + (-212)\/(-18). Suppose -a + 12 = o - 4, -a - y = -o. Calculate the highest common divisor of b and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 541567 < 541468?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13477.0000011634 + 13477. Round w to seven dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -4559 - -3268804\/717. Let p = v - -9958\/239. Is p at least as big as 43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 2076015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -100110110101?\nAnswer: 100110110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50229\/8 - 6270. Calculate the common denominator of v and -2 + (-16)\/(-3) - 2.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5089.76331 rounded to zero decimal places?\nAnswer: -5090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/35 - 100\/(-7). Let p = i + 12. Let w = p - 10. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1744*o**5 + 13*o**3 - 13650*o - 9.\nAnswer: 34880*o**3 + 78*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 3 + 4. Let m(f) = -2041*f**3 + f**2 + 5*f - 21. Let d be m(r). What is d rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 521.1 + -521. What is the third biggest value in -2\/15, u, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 57*t. Let o(j) be the third derivative of -j**5\/60 + 2*j**2 + 44*j. Give h(o(c)).\nAnswer: -57*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -d**9\/15120 + d**8\/1008 + d**5\/15 - d**4\/24 + 32*d**2. Let p(x) be the third derivative of j(x). Factor p(s).\nAnswer: -4*s**2*(s - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16.1 and 0.008?\nAnswer: 0.1288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1314, -5008, -11160, -19764, -30814, -44304, -60228?\nAnswer: -78580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.513 + -11.345. Let n = -0.168 + l. Let j(t) = -t**2 - 6*t + 1. Let x be j(-6). Which is the nearest to 1? (a) n (b) x (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - ((-38070)\/35 - 7). Let t = -1092 + m. What is the common denominator of t and 81\/56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 443727?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-354 - -395) + (4 - 46) + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -352225 + 5667?\nAnswer: -344336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 divided by -1?\nAnswer: -526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*b**2 + 37*b**2 - 3*b**2 as s*b**2 + u + n*b and give s.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/54 - 2\/(-9). Suppose t - 5*i - 7 = h, 4*i - 12 = -t + 4. Calculate the smallest common multiple of 20 and t.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - 16*a - 6. Give r(-16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of q**4\/4 - 4*q**3\/3 - 9*q**2\/2 + 13*q + 69. What are the prime factors of s(7)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.46 - -0.7. Let t = 0.7 + z. Is 0 at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 77132041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -319*l = -132*l - 130*l - 377910. Is 30 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - 13*t**2 - t - 1. Let b(i) = 187*i**3 + 216*i**2 + 3*i + 3. Let q(l) = -2*b(l) - 6*c(l). What is the third derivative of q(a) wrt a?\nAnswer: -2280","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -564*o. Let z(l) = -3*l**2. Determine d(z(v)).\nAnswer: 1692*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -816 + 1548. Suppose t = f + 3*f. List the prime factors of f.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - 1)*(-453)\/(-18)*2571. Suppose 258022 = -j + 54615. Let i = o + j. Round i to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + 1\/((-4)\/(-20)). Suppose -20 = -9*w + c*w. Solve -w*m + 7*m + 15 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**2 - 7*s - 6. Let p be t(-1). What is the first derivative of 31 + 6 - 2 + v + 9*v**p wrt v?\nAnswer: 27*v**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x**2 - 6*x**2 - 48*x**3.\nAnswer: -48*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3981*g*n**3*t*v - 2*g*n**3*t - 21*g*n**2*t*v + g*n*v + 2*g*v - 1684*n**3*v + 664*n**2*t + n*t - 4*t wrt n.\nAnswer: 23886*g*t*v - 12*g*t - 10104*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 3 + 13. Let q(o) = o**3 + o**2 + o - 6. Let k be q(0). Let s = k - -9. Solve s*t + 3 = -i*d + 9, -4*d = -3*t + 6 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -992 = 11*v - 3*v. Let b = v - -128. What is the highest common factor of 10 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 18*y**2 - 16*y + 7. What is h(-17)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 125\/50*(-8)\/(-5). Solve 5*l = -6*h + h, -n*h - 5*l - 5 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 336511 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.42 + -2.37. What is s rounded to 0 dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 7*w**2 - 8*w + 2. Let k be r(8). Suppose 5*s + 3*n - 15 = 2*n, 5*n = k*s - 33. Calculate the smallest common multiple of s and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13633 - 5?\nAnswer: -13638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 less than -3952700?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-10) + 9784\/(-40). Let x be 4*-1*(6 - z\/(-14)). What is the highest common divisor of 4 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 1 + sqrt(2736) + sqrt(2736) + -2)*2)**2.\nAnswer: -576*sqrt(19) + 43812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(6*-1*sqrt(2057) + 0) - (-3 + 5*sqrt(2057)*-2)*-5)**2.\nAnswer: 10560*sqrt(17) + 2106593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 94 - (-48 - -96) - 1\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 44*o**2 + 60*o**2 - 116*o**2. Let r(c) = -5*c**2. Let a(i) = 10*r(i) - 4*v(i). Let p(b) = -131*b**2. Calculate p(a(y)).\nAnswer: -524*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 9*o**4 + 53*o**3 - 87*o**2 - 117*o + 14 = 0.\nAnswer: -7, -1, 1\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 = 5*d + 4*x, 4*d - 2 - 70 = 3*x. Suppose 2*v - 28 = -3*p, v + 4*v - 2*p - 70 = 0. Calculate the highest common divisor of v and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -44 + -4?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3300 and 259930.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m*m**(-5)))*m\/m**(-1\/17)*m*m**(5\/3)\/m**(-8))**(3\/38) assuming m is positive.\nAnswer: m**(197\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -136*f**3*x**3 - 15*f**3*x**2 + 3*f**2*x**3 - 3*f*x**3 + 535*x**3 + 1 wrt f.\nAnswer: -816*x**3 - 90*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.506 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*d + 5*d**3 - 28\/3*d**2 + 0.\nAnswer: d*(d - 2)*(15*d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1262149447 to the nearest integer?\nAnswer: 35527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-726)\/2420*5\/(-9))\/(8\/16).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p + 12. Let w be s(-4). Let x = w + -23. Which is the nearest to 0.01? (a) -2 (b) -0.3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - -8 - -17) + (4 - (4 + 3)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 17 > -26.46164?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 124764, 5, 61 in decreasing order.\nAnswer: 124764, 61, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 266 - 344. Let u = 79.44 + a. What is u rounded to one dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 - -35. Suppose 2*v = -3*u + d, 6*u - 4*v = 4*u. Suppose u = 3*l - 5. Solve 5*r + 4*a = l*r + 10, -14 = -4*r - 5*a for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h + m + 6, -h + 5*h - m = 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34670506.\nAnswer: 2, 13, 151, 8831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20938 is divided by 436?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (76\/10)\/(10\/25). Suppose 2*h - y + 15 = 0. Calculate the highest common divisor of h and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 95 = -2*o, 4*o - m = 6*o - 91. Solve -a - o = -5*g + 4*a, 0 = 5*g + 4*a for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 62436 and 5566?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xrx. Give prob of sequence xx.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1114 - -30088\/27. Let a = 1\/27 - q. What is the closest to -0.1 in 5, a, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -4103*j. Let q(p) = -3*p. What is c(q(a))?\nAnswer: 12309*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-80)\/(-72))\/((-3850)\/3780)\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 531 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, x: 6, h: 7}. Give prob of sequence hhn.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2333210 + -12130?\nAnswer: 2321020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 2*h + x + 304, 3*h - x = 914. Let k = 916\/3 - h. Which is the nearest to 0.1? (a) 0.063 (b) k (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15.3 - -16. Let n = p + -2.3. Let k = 1.4 + n. Which is the nearest to k? (a) -1\/6 (b) 2\/11 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 220 + -148. Find the common denominator of 1\/x*(-158 + 0) and -25\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 5119910\nAnswer: -1535973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 347559.28483584 plus 0.1?\nAnswer: 347559.38483584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s = 34*s + 2142. Let u = s - -124. Do u and -0.01 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jr when two letters picked without replacement from {h: 1, r: 5, j: 6, x: 6}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2608 and 371966?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*o + 29 + 46*o - 49*o)*(-2 + 1 + 4).\nAnswer: 51*o + 87","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3 + 11082*g**2 - 647802*g + 9417518.\nAnswer: 2*(g - 29)**2*(g + 5599)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 0 - 1020*a**2 + 1021*a**2 - 2 + 2. Let y(n) = 21*n - 81*n + 36*n - 92*n. Calculate d(y(l)).\nAnswer: 13456*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 13, -37, -77, -107, -127, -137, -137?\n\"Answer: 5*y**2 - 65*y + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 + 336*d + 660.\nAnswer: 3*(d + 2)*(d + 110)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3441876*h - 636417*h + 3 - 3.\nAnswer: -4078293*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 215746057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/1*(-571)\/1. Suppose -2096 = -i + c. Let t = -1591 + i. Round t to the nearest one hundred.\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36.6 - -39. Let w = v - 25.4. Let g = -353 - -1411\/4. What is the second smallest value in 3, w, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6110 = 3*m - 13*m. What are the prime factors of m?\nAnswer: 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 2*g**2 + g + 2. Let m be z(0). Put m, 4, 6 in descending order.\nAnswer: 6, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 3:10 PM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1609810929?\nAnswer: 3, 19, 59, 17729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1634?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101941519.\nAnswer: 43, 2370733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (16 - -1) + (-33 - (-21 + -15))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 22, 25, 26, 25, 22, 17, 10?\n\"Answer: -k**2 + 6*k + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/13 in 1\/5, -0.5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/28 and 81\/638500.\nAnswer: 4469500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3089*o. Let h(q) = q**2. Determine h(g(v)).\nAnswer: 9541921*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -323012 + 323012 + 2*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from lll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 186000 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3 + 4 + -1*(-1 + sqrt(175) + 5 + 5 + -3)*2)**2.\nAnswer: 100*sqrt(7) + 721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143095 is divided by 65.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67013, 134056, 201099, 268142, 335185?\nAnswer: 402228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -118.2*-22.58.\nAnswer: 2668.956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 4*g - 6*g = 13, -4*j + 4 = 4*g. What is the remainder when j is divided by (0 + 1)*3 - 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1194.\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 0 = 5*b + 8, -2*l = 5*b + 6. Let n(t) = -4*t**2 - 3*t - 2. Let g be n(b). Does 12 divide (g\/(-18))\/(2\/108)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 5*a + 27, 15 = i + 4*i + 2*a. Is (-113234)\/11*i\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, -6, -1\/5, 898571, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - f**2 + f - 6. Let o(h) = h**3. Determine c(i) + 3*o(i).\nAnswer: 2*i**3 - i**2 + i - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11\/4 in 37, -23, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.04 + -0.01. Let i = 219 + -875\/4. Which is the nearest to i? (a) -2 (b) 1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3162 + -829. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/5866 and 47\/8380?\nAnswer: 58660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 10 + p**2 - 4 - 2*p + 9*p. Is d(-7) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*o + 2*o - 17*o)*(2*o**2 - 2*o**2 + 4*o**3) + o**4 + 0*o**4 + 0*o**4 in the form j*o + s*o**4 + f*o**3 + w*o**2 + p and give s.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjhh when four letters picked without replacement from {h: 8, j: 3}.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of 0*l**2 + 4*l + 0 + 1\/120*l**5 + 0*l**3 + 1\/72*l**4. Factor g(z).\nAnswer: z**2*(z + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 0*t - 9 = -3*w, 2*w + 8 = 4*t. Suppose 3*d + w*k + 2129 = 0, -3*d + 5*k - 1551 = 571. Let g = d + 1090. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1202 by 45053.\nAnswer: 1202\/45053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -235\/6 (c) 5 (d) 25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 4:32 AM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-12) + -61*-1*10\/30. Solve 28*t - 16 = x*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 516 - 508. What is the closest to -1\/4 in s, -0.4, 0.04?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 + 16. Differentiate 2 - 13 + 5*n**4 + 3*n**4 + d*n**4 with respect to n.\nAnswer: 32*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4082 = 2658*c - 2501*c for c.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4551 - 2?\nAnswer: -4553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 + 16873e?\nAnswer: 168735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 2*w. Let n = 711241 - 711237. Find l such that -1\/6*l**5 + w*l - 1\/6*l**n + 1\/6*l**3 + 0 + 1\/6*l**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 413.8299ml?\nAnswer: 0.4138299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 - 32.3. Let c = -0.3 - p. Let k = 2 - c. What is the nearest to -1 in k, -0.4, -1\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/((18\/388)\/(-9)). What are the prime factors of 1\/2 + a\/24?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 434*c - 480*c = -2898. What is the highest common factor of c and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-129))\/((-136)\/272).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 0*n - n**3 + 3*n**2 + 3*n - n + 3. Let c be q(-2). Suppose -c = r - 2*r. Calculate the remainder when r is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 32 (b) 0.5 (c) -2\/9 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 2\/5, -1\/4, -2, -12?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5*r = -8. Let h = r - -13. Suppose -3*t - 2*t + h = 0. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/(-4) - 5\/10. Suppose l*g = 2 + 12. Suppose 2*q = g*q - 25. Which is the smallest value? (a) 1\/2 (b) q (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -79 times 6106847\nAnswer: -482440913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -4*g. Let h be i(1). Let x be ((-800)\/h)\/((-2)\/4800). Round x to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 93 (b) 0.3 (c) 1\/427003\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1510 and -12?\nAnswer: 18120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 77*b**2 - 3*b + 6. Let i be x(2). Suppose -5*j + 372 = -i. Does 13 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96 and 10890?\nAnswer: 174240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2285039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/16)\/((9\/378)\/((-136)\/306))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - b?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 82*n**2 - 483*n - 1947. Give q(-4).\nAnswer: 1297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a factor of 29751447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 4*c = -9, -4*j + 26*c - 21*c - 12 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*o - 5*y + 12, -2*o = 4*y - 12. Suppose 4*v - 2*m = 4, 2*m - 5*m - 6 = -o*v. Which is greater: v or 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8268?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -13.7. Let m = 10 + -7. Let k = m + -2. What is the nearest to 1 in k, 0, t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u - 3*u + 5*u)*(-5*u**4 - 5*u**4 + 4*u**4).\nAnswer: 18*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -25\/2*x**2 + 0 + 5\/6*x**3 + 6*x. Is b(18) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07408 times -0.479?\nAnswer: -0.03548432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2857 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*a - 0. Let z(x) = -3*x + 2*x**3 + 1 + 2*x - x**2 + 6*x**3. Give z(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -315 - -318. What is the nearest to 0.1 in 1, 5, c, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2. Let u(q) = -q. Let v be 276\/72 - 1\/(-6). Suppose -5*o = -25, -7 = v*l - 4*o + 5. What is l*u(b) + p(b)?\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 73890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(308)\/(sqrt(7) - sqrt(7)*3)*-2)**2*-1.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*y + l - 153 = 36*y, 2*l - 6 = 0. Calculate the remainder when 2788 is divided by y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -r**3 - 7*r**2*s**2 - 7*r**2 - 479*r*s + 4*s**2 wrt r?\nAnswer: -6*r - 14*s**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -34*(330\/(-12) - -2) is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fz when two letters picked without replacement from {y: 1, z: 2, r: 1, x: 2, f: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -476 divided by -3?\nAnswer: 476\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15\/225833 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-676)\/(-10))\/((-2)\/(-30)). Suppose -20*q - 7197 = -7557. What is the units digit of (g\/(-3) - 1)*(-12)\/q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 272\/20)\/((-4)\/10). Let c = -30 + p. Which is smaller: -3\/14 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5744092 by -2.\nAnswer: -2872046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-3*((sqrt(156) - -2*sqrt(156)) + sqrt(156)) + sqrt(156)))\/(sqrt(12) - (-2*sqrt(1200) - sqrt(1200)) - -2*sqrt(12)*-1)*4.\nAnswer: 88*sqrt(13)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 7*a = 39. Solve -a*z - 52 - 104 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put together 961 and 4789327419.\nAnswer: 4789328380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17888 - 160990\/9. Let s be ((-1)\/(-12))\/(2\/(-2)). Which is smaller: x or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + -4. Let g(m) = -m**3 - 23*m**2 + 52*m + 54. Let j be g(-25). Sort -3, y, 3, j.\nAnswer: y, -3, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -54*r**2 + 104*r**2 - 49*r**2 + 4*r + 3 = 0. Calculate r.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 58 + -34. Let q be (-3)\/(-6)*(-12)\/(-1). Suppose -q*w + z = -2*w. Solve -5*o = -15, 4*p - 4*o = -10 - w for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 9*d**3 + 8*d**2 + 11*d + 6. Let y(k) = -20*k**3 - 15*k**2 - 23*k - 13. What is 13*c(o) + 6*y(o)?\nAnswer: -3*o**3 + 14*o**2 + 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37 + 48. Solve 4*c = 3*c + k - 4, 4*k - h = 3*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 391039954861 + -391039954696.3452613544. Let z = o - -0.3452621444. Let j = 165 - z. What is j rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 6*g + 11. Let u(p) = -p**2 - 5*p + 10. What is -6*o(m) + 7*u(m)?\nAnswer: -m**2 + m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1574.\nAnswer: 2, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (4 - 4 - -6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-6)\/(-4))\/((-2)\/(-156))?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135419 is divided by 18.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1975*i + 2633.\nAnswer: -1975","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d**5\/11 + 1902*d**4\/11 + 12380*d**3\/11 - 21822*d**2\/11 - 24916*d\/11 + 672 = 0 for d.\nAnswer: -231, -8, -1, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h - h + h)*(-1 - h**3 + 1) + 368340 - 368340 - 17*h - 100*h**4 as d*h**3 + l*h**4 + g*h**2 + k*h + r and give l.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74 = -29*h - 9*u, -5211*h + u = -5206*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 75 - (-1 + (21 - 5) - (18 + -19 + 8))?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 721.5 and -21472.\nAnswer: -15492048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -2 - 3. Suppose -y*g + 3*a + 2*a = -10, 0 = -3*g - 5*a - 10. Which is smaller: g or 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7386 and -75.138.\nAnswer: 554969.268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 7*q**2 - 4*q + 4. Let d be j(-6). List the prime factors of (-200)\/d + (1 - 3).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 21 + 9 = 0. Find the second derivative of 9*m + z*m + 18*m**5 - 23*m**5 + 2*m wrt m.\nAnswer: -100*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21\/2 - -109\/10. Let o(g) = g**3 + 12*g**2 - 12*g + 13. Let d be o(-13). Let d - 2\/5*x - p*x**2 + 2\/5*x**3 + 2\/5*x**4 = 0. Calculate x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/36)\/((108\/(-216))\/((-3)\/(-2))).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**2 - j**2 + 0*j**2 - 3*j**2 + 0*j**2 - 5*j**2 + (0*j + 0*j + j)*(3*j + 3*j - 5*j) as l*j + v*j**2 + g and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6457.629*5.\nAnswer: -32288.145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 531496293.\nAnswer: 3, 151, 1173281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14932 + 455?\nAnswer: 15387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-151260)\/75)\/(26\/10 - 3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -x - 50, -30*x - 22*o - 154 = -167*x - 21*o for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z + 30 - 60 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -8056, 4, -3, -4, -2 in ascending order.\nAnswer: -8056, -4, -3, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -19. Let f = 15 + x. Let j(i) = i**3 - 5*i**2 + 4*i + 5. Let w be j(4). Which is smaller: w or f?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 4 (c) 0.17 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d*d\/d**(-3))))**42 assuming d is positive.\nAnswer: d**210","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1037 is divided by (-660)\/(-770) + (2754\/21 - 1).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8258 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1544?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1000768979?\nAnswer: 7, 47, 3041851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 350440014 to the nearest integer?\nAnswer: 18720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + l - 28 = 0. Let m = -1590 + 1670. Calculate the remainder when m is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3\/7*j**2 - 15\/7*j + 3\/7*j**3 + 9\/7 = 0. What is j?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 10:38 PM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -7*i**2 - 8*i. Let r(x) = -x**2 - x. Give -3*a(l) + 24*r(l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 8*d - 1. Let h be x(-3). Let j be -1 + 3 + h\/10. Let z = 0.02 - -2.98. Put j, -0.2, z in descending order.\nAnswer: z, -0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14679 equal to 161470\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 6*i - 9. Let q be (-16)\/6 - (-2)\/i. Let f(k) = -k**3 - k**2 + 2*k. Let u be f(q). Solve u = -6*z + 2*z - 12 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4*2\/4 + 1. Find the common denominator of 95\/22 and -12*(x + (-85)\/(-88)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 0 + 52 + -51 + -8 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 r when three letters picked without replacement from {r: 1, z: 13, e: 3}?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/1 - (13 - 16). Solve 0 = -5*s + 2*v - 14, 5*s + 6 = -0*s - b*v for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/13, 0.01, 0.2, -20, 1\/12, 4518?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -51 + 484*y + 1\/3*y**3 + 22*y**2. Solve f(l) = 0.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 37\/2 of a micrometer?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -2\/13, 1\/4, 0.03 in descending order.\nAnswer: 1\/4, 0.03, -2\/13, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/(-42)*2436\/(-1624)?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -466754627 - -3?\nAnswer: -466754624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -94 - -131. Suppose -3*w + b = -5*z, 4*z + 0 = 4. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of -u**6\/180 - u**3\/3 + 5*u**2. Let x(m) be the first derivative of b(m). Let z(c) = 2*c**2. What is z(x(d))?\nAnswer: 8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - x = -28. Let m be 16166\/1180 - (-6)\/20. Calculate the greatest common divisor of m and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -1. Let a(t) be the second derivative of -t**7\/840 - t**6\/90 - t**4\/8 + t**3\/3 + 2*t. Let n(u) be the second derivative of a(u). Give n(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*p - 11*p - 5*y = 9*p + 14, 38*p = -y + 110 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -26*(200\/(-900) + 910\/(-36)). Calculate the highest common divisor of z and 897.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 14. Let u(o) be the third derivative of 5*o**4\/12 - o**3\/6 - 3*o**2. Is u(z) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (6*sqrt(832)*-2 - (0 + sqrt(832))*4))**2 + 1)*5.\nAnswer: 1280*sqrt(13) + 1064970","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1317 + 18429\/14. Find the common denominator of -47\/14 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h + 3*h + 5*h)*(12*h + 18*h - 31*h) to the form g + c*h**2 + w*h and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2851082?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, t: 1, q: 6, d: 3}. Give prob of sequence dtg.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p**6 - 147*p**5 - 11*p**4 - 73880*p**2 wrt p?\nAnswer: -240*p**3 - 8820*p**2 - 264*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1639, -3\/11, -2, 428 in descending order.\nAnswer: 1639, 428, -3\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.12 - 0.32. Let d = -4\/23 + 139\/138. Put s, d, 2 in descending order.\nAnswer: 2, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 310.5723 nanometers to micrometers.\nAnswer: 0.3105723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 8)\/(24\/(-16)). Let k(g) = g**2 + 5*g + 3. Let t be k(v). Let l = t - 7. Solve -14 = 3*d - 5*h, -11 = 3*d + l*d + 4*h for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -5 + (5 + 7 - 9 - 5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of j**4 - j**3 + 6020. Suppose q - r = 2*r + 6, 2*r = -4*q + 10. Let m(w) = -5*w**3 + 4*w**2 + w. Calculate q*m(s) + 4*f(s).\nAnswer: s**3 + 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of w**4\/4 + w**3\/3 - w**2\/2 + 8*w - 11. Give b(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 5 = -2*v. Find the second derivative of -5*a - 4*a + 0*a**v + 6*a - 3*a**3 wrt a.\nAnswer: -18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100010000210202 (base 3) in base 5?\nAnswer: 2214430410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of a**3 - a - 11. Let n(y) = y**2. Determine -k(x) + 6*n(x).\nAnswer: 3*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 6*v**2 - 10*v + 3. Let t(n) = 3*n**2 - n. Let c(o) = b(o) - 4*t(o). Determine c(5).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**2 + 19*a + 2. Let m be b(24). Let r = m - -1181. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -22, -19, -5, 27 in descending order.\nAnswer: 27, -1, -5, -19, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 10:31 PM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2832 less than 2?\nAnswer: 2.2832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5*x - 35 = 0, 5*x = -7*c + 2*c + 235. Let m be 2 + -1 + -1 + 2. Suppose -27 = -p + 4*u, 5*p = m*u - 0*u + c. Does 3 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 0.4, -4.9?\nAnswer: -4.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-6*(-5)\/20)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(5) - (sqrt(5) + 3)) - (sqrt(175)\/sqrt(7) + sqrt(25))\/sqrt(5).\nAnswer: -2*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*k + 16*k + 5*k - 46*k + 13*k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 4*k + 4. Let d be i(-9). What is the lowest common multiple of 2 and (-3)\/9 - d\/6?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of 82 - 1\/10*q**4 - 8\/5*q**3 - 48\/5*q**2 - 128\/5*q. Solve j(f) = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*g + 31*g - 910. Let u be (g\/(-195))\/(8\/63) - -3. Which is bigger: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/(1938\/(-12))*-1?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1124 + -1212441004?\nAnswer: -1212434330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of 3*b**2 - 50. Let j(a) = a**3 - a**2 + 2*a - 6. Let p be j(5). Let h(z) = 53 + 2*z - p + 51. Give h(x(l)).\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 12. Calculate the highest common factor of j and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a factor of 25283975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -143*i**5 - 53*i**4 - 35*i**3 - 28370*i**2 + 602*i - 1 wrt i.\nAnswer: -8580*i**2 - 1272*i - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) 0.7 (c) 1\/5 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(4050)*2 - sqrt(50) - sqrt(50))\/sqrt(10) + 2 + 4.\nAnswer: 9 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -443, -409, -351, -269?\nAnswer: -163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 671865, 671868, 671863, 671850, 671829, 671800, 671763?\nAnswer: 671718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g**3*n**3 + 4952893*g**3*n**2 + 2*g**2*n**3 + 105253*g*n**3 - 5*g*n**2 wrt n.\nAnswer: 12*g**3 + 12*g**2 + 631518*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.9 - 4.9. Let x = 3.3 + -1.6. Let n = x + 1.3. What is the second smallest value in l, n, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 51*t**2 - 22*t + 113. What is the hundreds digit of b(-51)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 160 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eyer when four letters picked without replacement from {x: 1, y: 1, e: 2, g: 1, j: 2, r: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -575*f. Let w(h) = -10*h**2. What is w(x(u))?\nAnswer: -3306250*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**4 + v**3 - 7*v**4 + 9*v**4 + (1 - 2*v**3 - 1)*(-v - 4*v + 4*v).\nAnswer: 5*v**4 + v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 10*u + 73. Suppose 5*o + 40 = -0*h - 5*h, -4*h - 18 = 2*o. Let j be t(o). Let q = 4 + 1. Solve -j*f + g - q = -3*g, -3*g + 5 = -f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**2 + 11*r**3 - 15*r**3 - 16636*r - 5*r**2.\nAnswer: -4*r**3 - 2*r**2 - 16636*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 104142*t - 2. Suppose -l - 3*l = -28. Let c be y(l). Suppose -4*b - c = 3*f, 3*f - f + 5*b = -485990. Round f to the nearest 10000.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8dbbd (base 15) in base 12?\nAnswer: -199374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50) + -1)**2 + 1)*2.\nAnswer: -20*sqrt(2) + 104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, -9, -37?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/11, -30, -1022, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19938067 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7882261 or 0.1?\nAnswer: 7882261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 317.0592s?\nAnswer: 5.28432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -55*o**3*w**2 - 2*o**3*w + 2*o**3 + 4173*o*w**2 wrt o?\nAnswer: -330*o*w**2 - 12*o*w + 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 23*j**2 + 24*j + 2. Determine l(24).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -164*s + 167*s + 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0012037515 rounded to 6 dps?\nAnswer: 0.001204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28*-0.0471494.\nAnswer: 1.3201832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1500704878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 - 16 - -6 - (-35)\/(-21)*-2. What is the nearest to g in 2, -5, -0.02323?\nAnswer: -0.02323","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4365816 and 924.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1332, 1327, 1318, 1305, 1288, 1267, 1242?\nAnswer: 1213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 141*s + 49*s + 40*s - 2*s + 3*s - 2*s - 2 + 2 + 2*s + (-5 + 3 + 4)*(2*s + s - 2*s) - s + 0*s + 2*s.\nAnswer: 234*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -253025133, -253025132, -253025131, -253025130?\nAnswer: -253025129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25696085869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -7*c**2 + 3*c + 3. What is h(3)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 8. Let q(r) be the third derivative of r**5\/40 + r**4\/6 - 6*r**2. Let c(f) be the second derivative of q(f). Determine -8*c(b) + 3*y(b).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31 or 0?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 179.513712 microseconds to weeks.\nAnswer: 0.000000000296815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/((-7)\/5 + 1). Suppose -2*p + z + 15 = 0, -3*z + k = 4*p - z. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 517*i - 4648. Let o be r(9). Solve k + 5*t = o, k + 15*t = 12*t + 3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 527, 550, 597, 674, 787, 942?\n\"Answer: z**3 + 6*z**2 - 2*z + 522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 5*g**2 + 8*g + 12. Let j be p(-2). Suppose j*o = 120 - 8. Suppose -3*z + 3*k = -9, -5*z + 3 + 4 = -3*k. Sort 1, o, z in decreasing order.\nAnswer: o, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n**3\/11 + 26*n**2\/11 - 28*n\/11 = 0.\nAnswer: -14, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 51 = -4*a - z, -5*a + 51 = -3*z. Suppose 7*x = 8*x - 5*i - a, 5*x - 18 = 4*i. Solve -x = -n - n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 3, 1, -257, -4 in increasing order.\nAnswer: -257, -4, -0.5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -1\/5*x**2 + 1\/10*x**4 + 2\/15*x**3 - 2\/5*x + 2. Find w such that q(w) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -164318.9523 rounded to the nearest ten?\nAnswer: -164320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.08 and -18.325.\nAnswer: -18.405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from {t: 2, l: 3, q: 2, f: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**3 - 3 + 4*c**3 - 3*c**3 + 6*c**3 as u*c**3 + s + g*c + y*c**2 and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 - (-19 + -5 + 11) - -1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1396 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*x, -2*x + 6 = s + 3*x. What is the closest to s in -1, -3, -1\/10?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p**3 + 131*p**2 - 438*p - 85. Let z be f(40). Let q(s) = -s**3 + 2*s**2 + 4*s + 1. Let m be q(3). Let j = m + -7. Sort j, 7, z, 5.\nAnswer: z, j, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/y**3)\/y)\/y*y)**(-2\/187)*((y\/y**4)\/y)**(1\/57))**(-8\/9) assuming y is positive.\nAnswer: y**(3248\/95931)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94483026 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*z + 18*z - 76 = 0. What are the prime factors of z?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1113 + -1113.000001092. What is k rounded to seven dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/66400 and 23\/49800.\nAnswer: 199200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 times -14?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1862401 is divided by 1638?\nAnswer: 1633","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2032, -2051, -2068, -2083, -2096?\n\"Answer: l**2 - 22*l - 2011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 446 in -4, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 146175 and 53850?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3*v**2 + 11*v - 3. Let u be a(-5). What is the greatest common factor of 272 and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1900181*z = 1900184*z - d - 2, -d = -10 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-910)\/35035*49\/(-77)\nAnswer: 2\/121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2627314.\nAnswer: 2, 1313657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8359 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5015367, 5015395, 5015425, 5015457, 5015491, 5015527?\nAnswer: 5015565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 15, -3*m + 38 + 46 = -j. Let v = m - 7. What is the least common multiple of v and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.01655 + -0.01655. Put 3, -5, s, 0.2, 1\/8 in increasing order.\nAnswer: -5, 1\/8, 0.2, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 7:10 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 584 - 6?\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2*c**2 - 1)*(-534*c + 538*c + 33 + 20) to the form i*c**2 + q*c + f + v*c**3 and give i.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 13*x**2. Let o(h) = -36*h**2. Let g(p) = -11*l(p) - 4*o(p). Let i(c) = 179*c**2. Calculate i(g(n)).\nAnswer: 179*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -153 divided by -3\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -586 times 102?\nAnswer: -59772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**4\/2 - 3*t**3\/2 - 21*t**2\/2 + 39*t\/2 - 9 = 0. What is t?\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 1\/2*g + 1\/2*g**3 + 0*g**2 = 0. What is g?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 67 = d, -d - 71 - 15 = -5*w. Calculate the greatest common divisor of w and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of j**5\/80 + j**4\/48 - j**3\/24 - j**2\/8 + 172*j + 234. Let w(f) be the first derivative of g(f). Factor w(s).\nAnswer: (s - 1)*(s + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 682*j = 677*j - 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3199381*x = 3199372*x - 963 for x.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-388)\/1552*(-220)\/15?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 117504 and 12204?\nAnswer: 13277952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1616*j**4 + 7189 wrt j?\nAnswer: -6464*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8207 - 3*f - 8212 - 3*f**4 + 22*f**3 + 2*f**4 + 4*f to c*f + g*f**4 + d*f**3 + l*f**2 + t and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208069 is divided by 104016?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 42 + -139 + 105?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2823*i**2 - i + 19456 wrt i?\nAnswer: -5646*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/5 (b) -18\/23 (c) -0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12\/10)\/((-16)\/(-40)). Suppose 0 = -5*j + w*q + 7, 0*q = -3*j + q + 1. What are the prime factors of (j\/(-2))\/((-4)\/(-152))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) - (sqrt(10)\/(sqrt(5) - (sqrt(45)\/sqrt(9) - sqrt(5))))**2 - (sqrt(288) + 2 - sqrt(288) - sqrt(288))**2.\nAnswer: -294 + 49*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 549158987?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7793 (base 11) to base 9.\nAnswer: -15066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**2 - 20*n + 55. Calculate a(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12523 is divided by 173?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p + 2. Let o(l) = 4*l**3 + l**2 - l + 1. Let w = -14 + 15. Let q be o(w). Suppose q*f = 2*u + 19, 5*f - 31 = u - 3*u. Determine k(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 9:53 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -56558010 or -56558008?\nAnswer: -56558010","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5150559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 + 0*f**3 - 2*f**3)*(2*f - f**2 - 2*f) + 3*f**4 + 2*f**4 + f**5 - f**4.\nAnswer: 2*f**5 + 4*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010 + 1000010011101010?\nAnswer: 1000010011110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44 - 39. Suppose 0 = k + 4*n - 132, t*n - 322 = -5*k + 293. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 + 31. Sort 5, c, 4 in decreasing order.\nAnswer: 5, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -13)*((-345)\/805)\/((-3)\/(-23))\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -287 - -293. Which is the third biggest value? (a) 0.3 (b) -0.5 (c) t (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (-13 + -1) - 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*t + 79 = 174. Sort 1, 103, t, 3 in decreasing order.\nAnswer: 103, 3, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n - 109 = -865. Calculate the greatest common divisor of n and 567.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -313 + 2*o + 313. Let q be w(2). Solve q*b = b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10028, 3\/8, -3, -2\/5, 0.3, 1 in descending order.\nAnswer: 10028, 1, 3\/8, 0.3, -2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g + 41 + 0*g - 103 + (-3 + 1 + 1)*(5*g - 3*g - 6*g)*(-2 + 2 - 2) in the form k + d*g and give k.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 377472 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 o = 2\/2683 - -5352\/18781. Sort 1\/3, 3, 0.7, o, 0.4.\nAnswer: o, 1\/3, 0.4, 0.7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*b*g**3*w + b*g**3 - 9*b*g*w**2 + 2*b*w**2 + b - 45*g wrt w?\nAnswer: 2*b*g**3 - 18*b*g*w + 4*b*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + n - 8. Suppose 4*o - 4*f + 0*f = -8, -n*o - 4*f + 26 = 0. Solve -o*b - 10 = -8*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13 or -0.038212?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011111 (base 2) in base 7?\nAnswer: -164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 66 = 30. Let b = d - -32. Calculate the smallest common multiple of 2\/6 + 4\/6 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2 + 8*b + 30. Let d be x(-5). Suppose -a - a = -10, -318 = t - 2*a. Let v = -208 - t. What is the greatest common divisor of d and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**2 + 4*a**2 - 6*a**2 + 4*a**3 - 5*a**3 wrt a.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-38)\/6 + 7 + (-3812)\/(-6) a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 15) in base 13?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2. Let r(q) = -546*q**2. What is r(j(n))?\nAnswer: -546*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8764 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 k(p) = -p**2 + 110*p + 680. Determine k(119).\nAnswer: -391","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 2*j**2 + 1 + (-4*j - 9 + 9)*(-j - 2*j + 2*j) + 337 + 16*j**2 - 337 + (52 - 51 - 56)*(-2*j**2 - j**2 + j**2).\nAnswer: 128*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-8))\/((-121)\/(-30) - 4). Let m = -46 - -45. Let p(a) = a**3 - a**2 + a - 1. Let z(g) = -10*g**3 + 15*g**2 - 15*g + 15. What is m*z(v) + s*p(v)?\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-18)\/15)\/(7\/35). Let f be -4 - 3\/(-6) - 3\/v. Which is the second smallest value? (a) -0.2 (b) f (c) 3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21030, 0, -1 in descending order.\nAnswer: 21030, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64425675 and 4350?\nAnswer: 2175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55242 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 400, 380, 366, 358, 356, 360, 370?\nAnswer: 386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 2*p + 2*n, 5*p - 4*p = -4*n + 23. Let d = p - -35. Suppose 2*q - 40 = 2*v, 2*v - 64 = -2*q - 2*v. What is the remainder when d is divided by q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -27 and 4630538.4?\nAnswer: 4630565.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 561007 is divided by 1466.\nAnswer: 995","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2775 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -638 divided by 58\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 6*b - 15 = 0. Suppose 6 = b*p - 3*p. Solve -5*x + 2 = -p for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10102 (base 3) in base 12?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0*v**(-2\/31))\/(v**(-3)\/v**(-6\/11)) assuming v is positive.\nAnswer: v**(815\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 119 and 21200186?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - 4765\/(-15)) + 6\/(-9). Let m be 0 + (2 - 0) - -498. Let g = m - v. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55237686 is divided by 36?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 + 21 - 14)*(-4*r - 5 + 5).\nAnswer: -124*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12264482 to the nearest integer?\nAnswer: 3502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 1769 + 1412 = 0. What is the highest common factor of a and 1275?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, v: 2, d: 9}. What is prob of picking 1 n and 1 v?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a = 10*a - 15*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 9*m**2 - 10*m - 1. What is f(8)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -69\/1022 - -1003\/5110. Find the common denominator of z and 178\/(-24) - 3\/(-4).\nAnswer: 1095","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 5*d + 2, 2*j + d - 12 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**3 + 2*y**4 + y**3 + 2*y**3)*(-203*y + 7339 - 7339).\nAnswer: -406*y**5 - 406*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7)*2 + 5 + sqrt(7) - (sqrt(7)*-2 + 5)) + (-2*sqrt(7)*-2*-2)**2.\nAnswer: 5*sqrt(7) + 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -169*i - 2. Let y(l) = 337*l + 3. Calculate -5*k(s) - 3*y(s).\nAnswer: -166*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5622.\nAnswer: 2, 3, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(4212))\/(sqrt(400) - sqrt(400)*2) + -5.\nAnswer: -9*sqrt(13)\/5 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2.65799 centuries?\nAnswer: 3189.588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2 + -4 + sqrt(65)\/sqrt(5))*5.\nAnswer: -12 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20508772.3 rounded to the nearest 10000?\nAnswer: 20510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/4, 4, -0.5, -237.8, -4, -0.41?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4 - 4 + 242*x. Let p(a) = 156*a**2 + 2*a + 2. Let c(l) = -391*l**2 - 5*l - 5. Let w(y) = 2*c(y) + 5*p(y). Calculate w(n(q)).\nAnswer: -117128*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-14 - -20)\/(78\/2641379) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*m**4 - 18*m**3 - 112 - 45*m**4 + 72*m + 20*m**2 + 10*m**4 = 0. What is m?\nAnswer: -2, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d + 3*d**3 + 7*d**3 + d - 6*d - d**4 in the form g*d**3 + u*d**4 + k + j*d**2 + b*d and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 400 divided by -2\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 7:37 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 368 = -4*n + k, 4*k + 16 = 0. Let t = 130 + n. List the prime factors of t.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 2*l + 2. Let s be l\/(4 + -2 + -3). Suppose -s*r = 3 - 13. Solve 2*j + r*i = -13, -4 = -3*j + 3*i + 8 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.045 + -0.045. Let k = 32 - -2. Let n = 40 - k. Which is bigger: x or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 7 - 1)*(-z + 0*z + 0*z) + 4*z + z - 4*z + 4*z - 13*z - 2*z.\nAnswer: -14*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 184 in 1, 345, -4?\nAnswer: 345","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 2*r + 4. Suppose -m = -5*f + 4*m - 30, 2*f + 4 = -2*m. Let c be x(f). Is (-3 + 1)\/(c\/30) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(320) + -3*(-1*sqrt(320) - sqrt(320) - sqrt(320)) + sqrt(320) + -4).\nAnswer: -528*sqrt(5) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -459026 less than -459031?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -270*j**2 + 20*j + 135*j**2 + 16 + 139*j**2.\nAnswer: 4*(j + 1)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1043*-472.91.\nAnswer: -493245.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1084*v**5*y + v**4*y**2 - 324*v**2*y**2 - 4*v**2 wrt v?\nAnswer: -65040*v**2*y + 24*v*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.9, -4, -4\/17, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 12 - 2 = 2*r, -4*i = -3*r + 15. Suppose 3*t = 6*t + 4*s - 124, -3*t + 123 = 3*s. Calculate the greatest common factor of t and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90 - (-2 + 33 - -133).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/37 or -29\/367?\nAnswer: -29\/367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 26 - 81 = 0. Let n(f) = 2*f**2 - 7*f + 10. Let l = -59 - -62. Calculate the remainder when i is divided by n(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 148 - 210. Let w = v + 432\/7. Which is smaller: 2\/7 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9240*p**2 + 4496*p**2 + 4784*p**2.\nAnswer: 40*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41416.\nAnswer: 2, 31, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of c**5\/90 - c**4\/18 + c**3\/9 + 3*c**2 - 7. Let v(z) be the second derivative of l(z). What is t in v(t) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*k - 6*k + 0*k)*(-185 + 91 + 103) + 1084 - 1084 + 7*k to the form z + v*k and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38 + -23. Let z = 1 - 11. Let u(q) = -q - 2. Calculate the remainder when y is divided by u(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -2*u - 3*c, 0 = -4*u + 4*c. Suppose -8 = -x - u. Suppose -x = -2*b + 14. What is the lowest common multiple of b and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) -2\/17 (c) 0.01 (d) -1\/7 (e) 244 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -7*-0.0132\nAnswer: 0.0924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a - 8. Let l be o(5). Suppose -l*p = -4*h - 26 - 14, 100 = 5*p - h. Calculate the greatest common factor of 15 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/(1224\/(-252)))\/((-28)\/208).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 0. What is the second smallest value in 5, m, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -146.3*647\nAnswer: -94656.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*c**4*s - 31085*c**3*s - c**2*s - 680*c**2 - c*s - c - 26*s wrt c.\nAnswer: 336*c*s - 186510*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = 29*l - 32*l + 5*q, -67*l - 221 = -5*q for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -75 or -1163\/137?\nAnswer: -1163\/137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i*u**2 + 184927804*i*u - 263026663*u**2 wrt i.\nAnswer: 2*u**2 + 184927804*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10706?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -6*m**4\/7 - 39*m**3\/7 - 48*m**2\/7 + 57*m\/7 + 36\/7 = 0.\nAnswer: -4, -3, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 345 and 81.\nAnswer: 9315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 48481, 96109, 143737?\n\"Answer: 47628*t + 853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 1006*p - 16439. What is s(12)?\nAnswer: -4367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -14*s + 22. What is the remainder when n(-10) is divided by (-2)\/(-3)*(-246)\/(-4)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4131 - 28\/(-4))\/(0 - 3\/6) a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-34)*6\/(-15)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12012 is divided by 2002.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -6 (c) -1.631\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 1:05 PM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + -4)*2\/16. Let a = 5 + -4.5. What is the biggest value in l, -1\/3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.11 and -0.2707587?\nAnswer: -0.029783457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, j: 1, a: 3}. What is prob of sequence ap?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 10) to base 13\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + 11. What is the nearest to 0 in -2\/5, 2, w?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - 6*c**2 - 5*c - 10. Let g be o(7). Suppose 0 = g*s - 5 - 43. Let n(f) = -s*f + 3 + 28*f - 15*f. Determine n(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 4:18 PM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-8)\/g)\/(((g*g\/(g**8\/g))\/g*g)\/g)*(g*g**(-1\/2))\/g**3 assuming g is positive.\nAnswer: g**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -3 - 4*u + 5*u + u. Let p(i) = -4*i + i + 2 - i + i. Let c(z) = -3*p(z) - 4*r(z). Calculate c(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -41614052 or -41614044?\nAnswer: -41614052","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*y + 3*y + 4*j - 5, 3*j = -3*y + 24 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wlpg when four letters picked without replacement from {p: 4, w: 2, g: 6, l: 6}.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 151703968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 8501 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4704236?\nAnswer: 2, 23, 51133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 5. Let b = -372.5 - -373. Sort b, 4, q in descending order.\nAnswer: 4, q, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3306087628.00000021 - 3306087610. Let r = i - 18. Round r to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14369741 = -28*t + 14372345 for t.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eg when two letters picked without replacement from eeeeeeeegeeegg.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x - 7. Let d be o(12). Let s(z) = -z. What is s(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87637.42ml to litres.\nAnswer: 87.63742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -3, -2, 3, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -6) + 1 - 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -913 - 908 + 3625 - 889 - 915 - 15*m**3.\nAnswer: -15*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 304*f**3 - 4*f**2 - 5*f - 3. Let c be h(-1). Calculate the common denominator of -13\/18 and (6 - (-48)\/(-9))\/((-40)\/c).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y + y - 1. Let c(q) = -4*q**2 + 0*q + 0 - 119*q**3 + 2*q**2 - y + 2*q. Let r be c(1). Round r to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {z: 4, f: 16}.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 29*i**2 - 52*i + 42. What is the units digit of l(22)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-3 - ((-4 - 3) + 0)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (134\/(-268))\/(((-2)\/(-28))\/1*9)\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 97515 to the power of 1\/2, to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3338 + -1263. Does 25 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1984, 5\/4, 0.5 in decreasing order.\nAnswer: 5\/4, 0.5, -4, -1984","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 1959252764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m. Let v(f) be the third derivative of -f**5\/60 - 9*f**4\/8 - 41*f**3\/3 - 120*f**2. Let h(n) be the first derivative of v(n). What is h(g(z))?\nAnswer: -2*z - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.44 in 0.3, -0.5, 1\/8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 135, 129, 109, 69, 3, -95, -231?\n\"Answer: -r**3 - r**2 + 4*r + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 2*t - 3. Let n be r(-3). Suppose n = m + 4*v + 6, 33 = 4*m - m - 5*v. Suppose -m = 2*l - 2. Put -4, l, -5 in increasing order.\nAnswer: -5, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/24 + (-58)\/8. Let d(r) = r + 10. Let w be d(v). Solve -w*a = -8*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7956?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6528 + 7584 = 18*n. What is the remainder when 3153 is divided by n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53360 a multiple of 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 + 4)*(-4*n + 3*n + 2*n) + 0*n + n - 5*n)*(-4 + 4 + n**3).\nAnswer: -2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05276 to three dps.\nAnswer: -0.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1324.02*0.2.\nAnswer: 264.804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**2 + 3*k**3 + 0*k**2 + 1019*k - 1019*k.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -213769\/7 - -30539. Which is the closest to -2\/5? (a) 0 (b) 1 (c) j (d) -120\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-13398)\/(-3596))\/(-77))\/(3\/2)?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to 24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -638 + 643. Suppose -8 = m + 5*w, j*m - 13*w = -15*w + 6. Solve -5*y - 9 = -2*y, -5*t + m*y - 19 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of r**3\/6 - 3*r. Let w be (-32)\/(-14) + (-10)\/35. Let o(c) = -2*c**2 - 3*c**w + 6*c**2. Calculate o(v(x)).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from iiddddid.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 5698.\nAnswer: 56980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -13141621?\nAnswer: 13141622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 s when three letters picked without replacement from rptosotrprgt.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -k**5\/20 + 7*k**4\/4 + 11*k**3\/3 + 7*k**2\/2 + 2*k + 2. Let g be f(22). Let c(n) = 304*n + 55. Is c(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 473, 416, 359, 302, 245, 188?\n\"Answer: -57*s + 530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*w**2 - 195*w**2 - 10431*w - 10425*w + 100*w**2 + 20856*w.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 5\/4, -61, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41 + 311. Which is bigger: 271 or z?\nAnswer: 271","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-76)\/14 - -6)*3\/(-12)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 98 and 36?\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**2 + 0*m + 0*m + (2*m - 2*m + 3*m)*(5 - 2*m - 5) - 2*m - 3*m**2 + 2*m.\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4 = -4*u - 6*t, 4*u - 5*t = -4. Suppose -7*j + 2*j - 175 = 0. Let p be (2 - 5) + j\/(-11). Is p not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.7 - 5. Let u = -16 + 14. Put u, w, -1 in increasing order.\nAnswer: u, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 258897, 3, 11 in decreasing order.\nAnswer: 258897, 11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -141134652 by 4.\nAnswer: -35283663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 31? (a) 4\/5 (b) 0.3 (c) 51 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 195. Is s a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4784*y - 95676. Let n be s(-20). Factor 0 - 1\/5*b**n + 9\/5*b**2 + 1\/5*b**3 - 9\/5*b.\nAnswer: -b*(b - 3)*(b - 1)*(b + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -58*w - 5187 + 663. What is the closest to w in 0.3, -1\/5, 2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/33408*5536 + 0 + -6.\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) - (-2*sqrt(192) - sqrt(192))) + sqrt(192))\/(6*sqrt(16)\/sqrt(4)).\nAnswer: 10*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l + 4*l + l + 0*l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 187\/14 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 8*m**2 + 12*m + 9. Let k be h(9). Calculate the greatest common divisor of 9 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -2*y + 9, 5*c = 177*y - 175*y - 17. Solve f = -y*f - 3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 126366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*v - 6*v + 444. Let d = v + 77. What is the highest common divisor of 9 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*2\/6)\/(-3*21\/(-27))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 157725 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/41 - -45\/82. Let q = -170 + 165. Put w, -0.7, q in descending order.\nAnswer: w, -0.7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -651 = -r + 2*w, -4*r + 2*w - 7*w = -2565. Let s be r\/12 - 4\/(-16). Let g be s\/(-15) + 10\/(-25). Let l(c) = -c**3 - 5*c**2 - 5*c - 3. Give l(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8440416247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1087 - -7100. Suppose 5*h - f - c = 1353, -5*f = -5*h + 9560. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40580.01 litres to millilitres.\nAnswer: 40580010","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 6*f**2 + 6*f - 7. Let q be k(5). Let y(a) = -a + 11. Let c be y(9). Let r(n) = 2 - c*n + 8*n - 3*n. Determine r(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3839 * -611.\nAnswer: 2345629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 27*w**2 - 27 - 51 + 71 - 14 in the form b*w**2 + r + d*w and give b.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/811 (b) -203 (c) 0.1 (d) -2\/13 (e) 2\/13 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-3 + (-2 - -4) + 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2611341419 to the nearest integer?\nAnswer: 1377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 63 = -282. Let m = 108 + k. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*g**4 + 3260*g**3 - 106925*g**2 + 42250*g.\nAnswer: -5*g*(g - 65)**2*(5*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -55*g**3. Let a(f) = 2*f**3 - f**2 - f. Let j be a(-1). Let k be 2*-1*j\/(-4). Let t be v(k). What is the greatest common factor of 5 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -33 + 16 + 11*q + 19 as p*q + d and give p.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16751*s - 37899 wrt s.\nAnswer: 16751","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cbc when three letters picked without replacement from bbbccbbcbbcc?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/3 + 24*t**2 - 110*t - 400\/3.\nAnswer: 2*(t - 5)*(t + 1)*(t + 40)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c**2 - 6*c - 4. Let f be w(3). Solve -f = z - 9 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03463914 rounded to 3 dps?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3736 + 94?\nAnswer: 37ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.6 times -5?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/((z*(z*z\/(z*(z*z**(-1))\/z*z*z*z))\/z)\/z*z))**(-4\/23)*(z**4*z)\/z**(2\/11))\/(z\/z**(-3\/2)*z*z**(2\/11)*z**(-5)\/z*z*z**(-2)*z) assuming z is positive.\nAnswer: z**(3347\/506)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -1025*y**3 - 11*y**2 + 259*y + 2125. Is l(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/2)\/(1\/(3\/6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23.9 - 24. Let t be (-12)\/15 + -2 + 2. Let h = -0.16 - -1.16. Which is the closest to h? (a) 3 (b) t (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*z = -q - 19*z + 5, 0 = -3*q - 5*z + 17. Sort q, 6, -3, 8 in decreasing order.\nAnswer: 8, 6, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -2, 4, -935, 1.\nAnswer: -935, -5, -4, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -3*d**2 - d. Suppose 2*a = 3*a + 20. Let y = a - -22. Let b be j(y). Sort -2, b, -5.\nAnswer: b, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 87751?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - -4 - (-5 - -2). Solve -3*i - 22 = z*l, i - l - 3 = 3*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46\/(-23)*-3*((-42)\/9)\/2.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 8*c + 1. Calculate the remainder when (4\/(-2))\/(2\/(-49)) is divided by u(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -110979\/13 + 8537. Which is the second smallest value? (a) -3.9 (b) p (c) -0.4 (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + (-5 - 18) - (-7 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jvvhqhauhjv. Give prob of picking 2 q and 2 u.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 p when two letters picked without replacement from {p: 1, z: 1, q: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-22))\/((-5878)\/(-226303)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 5*v = 188, -2*q + 29*v = 30*v - 367. Solve -6*k - q + 159 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59944 = 26*a - 18*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2161 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2553529 to the nearest integer?\nAnswer: 1598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.2 + 6.4. Suppose v + 0*v = -4*r - 1, 1 = 5*r - v. Which is the biggest value? (a) x (b) r (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 19 + -1?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24.5 - 25. Let s = 917 - 925. What is the nearest to -1\/2 in j, -4, s?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -4*t**2 + t**2 + 4*t**2. Suppose 17 = 3*j - 4. Let d(p) = j*p**2 + 2*p**2 - 11*p**2. Give 3*d(a) + 8*n(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 113032 = -3*b, 0 = -z + 2356*b - 2352*b + 22603. What is the hundreds digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 b when four letters picked without replacement from hbxxibmixxxxhmxbhbx.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (574*u**4 + 115*u**4 + 429*u**4)*(-4 + 2 + 1)*(3 - 1 + 2).\nAnswer: -4472*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 29 - 17. What is the greatest common factor of 72 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41 - -43.95. Let m = 0.05 + v. Let q be (1 + 18\/(-16))\/(6\/8). Sort q, m, 0.4 in decreasing order.\nAnswer: m, 0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -3. Calculate the common denominator of (-2756)\/72 + 4\/s and 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t**3 + 3*t**2 - 3*t. Give p(2).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*u + 82 = 2*a, -4*a = -2*u - 114. Calculate the remainder when a is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/30 and 4\/(-30)*858\/(-24).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vadnevzaz. Give prob of sequence ez.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*p**5 + 78*p**3 - 7*p**2 + 6?\nAnswer: -180*p**2 + 468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -11*k**4\/24 - k**3\/6 + 12*k**2. Give s(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a - 5*a + 0*a)*(10 - 17 - 14) + 0*a + 0*a - 2*a.\nAnswer: 19*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 12:40 PM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f + 15*f - 145 = 0. What are the prime factors of f?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -443\/575 at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/165 and -109\/730?\nAnswer: 24090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 45360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 54 = -42. Suppose -4*b + 84 = 4*r, -2*r - 4*b + c = 16. What is the remainder when r is divided by 36\/(-15)*(-4 + 6\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 15*q**2 - 37*q - 91. Calculate l(-15).\nAnswer: 464","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13631313?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3558356, -3558354, -3558350, -3558344, -3558336, -3558326?\nAnswer: -3558314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.8 - -5. Let g = f + -0.3. What is the third biggest value in -5, -2\/7, g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i + 2. Determine t(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -32 (b) 1\/2 (c) 2 (d) -1 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18368429 a multiple of 1654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5, 30, 75, 140, 225, 330?\n\"Answer: 10*n**2 - 5*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uppq when four letters picked without replacement from ppuuuwuuwuquuwuupwp.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 7417.333ms?\nAnswer: 7417333000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2. Let w(y) = -1375*y + 1. What is u(w(f))?\nAnswer: 3781250*f**2 - 5500*f + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 44. Let f be 4\/(-6) - (-16)\/r. Let d = 2.2 + -2. Which is the nearest to -1? (a) d (b) f (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 2\/5, 5, 6, 2, -1.75, 4\/11?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h + 39 - 12 - 27.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1583 + -1583. Which is bigger: i or -5\/287?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 1\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3*v + 3. Determine c(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 73*d - 71*d - 4*u, -3*d - 3 = -u + 2*u for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 140 and 620?\nAnswer: 4340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 3*k + q - 17, 0 = -5*q + 25. Let p = -1 - k. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/(-10)*(12\/5)\/(-3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + -36. Let c be 4\/(-8)*k + 2\/2. Let i = 73 - c. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 4*m**2 + 4*m - 1. Let z = -42 + 67. Suppose -z = 78*s - 73*s. Let t(y) = 2*y**2 + 2*y - 1. Calculate s*t(h) + 3*g(h).\nAnswer: 2*h**2 + 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*x = -3425. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, p: 1, c: 2, j: 2}. Give prob of picking 1 p and 1 j.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + 3*t + 10. Let d be v(6). Calculate the common denominator of 57\/16 and 9 + -13 + (-226)\/d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/2 (b) 903 (c) -6\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(1584)*-2.\nAnswer: -24*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 0) + (2 - -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -174 + 11*c**3 + 0*c**2 + 175 + 0*c**2 in the form p*c**2 + o*c**3 + u + z*c and give o.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - 0 - -24*(-14)\/84. Sort -3, -13, k, 0 in ascending order.\nAnswer: -13, k, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 3*u - 69 = 0, x + 5*u + 55 = 4*x. Suppose 32*b - 35*b + 7 = -i, 2*i = 3*b - 5. Solve -o = i*o + x for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135038 to the power of 1\/2, to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**3 - 4*g**2 + 4*g + 4. Let a = 7 + -4. Let r(y) = -2*y**3 + 3*y**2 - 3*y - 3. Let h = -27 - -31. Calculate a*m(c) + h*r(c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 - 4*a - 8. Let w be j(-2). Sort 2, -3, w, -2 in decreasing order.\nAnswer: w, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of 5*u**3\/3 + u**2\/2 + 11*u + 9. Calculate the least common multiple of v(0) and 7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 + 28. Let o = h + -11. Let z = -4 + 5. What is the second smallest value in z, 4, o?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 396145294 to the power of 1\/2, to the nearest integer?\nAnswer: 19903","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.593 + -1.593. Which is the closest to 20? (a) 0.1 (b) -2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -223, -1, 110\/23, -0.4, -2 in decreasing order.\nAnswer: 110\/23, -0.4, -1, -2, -223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -11, -2\/7, 0, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -9*z**2\/2 - z - 31. Give h(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/3))**17*(y*y**(2\/5))**11 assuming y is positive.\nAnswer: y**(146\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -17. Calculate the greatest common factor of h and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 760536.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(190)*1*-6)\/sqrt(10) + (sqrt(1216) + 0)*2.\nAnswer: 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27715?\nAnswer: 5, 23, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12278.6 - -12279. Let o = -0.63 - -0.6. Let x = o + -4.97. Put 0.6, -1\/3, h, x in descending order.\nAnswer: 0.6, h, -1\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 89 - 92.9. Let y = -27 - -31. Let i = o + y. Which is smaller: 1\/6 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14220 + 1331114?\nAnswer: 1311344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.57 and -0.03.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 894 is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*k + k**2 + 42*k**2 + 119*k.\nAnswer: 43*k**2 + 88*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 639.7 kilometers in nanometers?\nAnswer: 639700000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5\/27 + -4\/27. Sort -0.3, -0.04, -5, r.\nAnswer: -5, r, -0.3, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16125015.6 rounded to the nearest 100000?\nAnswer: 16100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -37*d**2\/2 + 7146*d - 1930 = 0. Calculate d.\nAnswer: 10\/37, 386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a + 1. Let h = -760 - -780. Suppose 2*j + 0*p = 2*p + 8, -4*p = h. Calculate n(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 9, 77592 in increasing order.\nAnswer: -5, 9, 77592","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1\/12)\/c*c\/c**(3\/14) assuming c is positive.\nAnswer: c**(-25\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g + 28. Let m be l(18). Suppose -3*z + 27 = 3*p, 0*z - 42 = -3*p + 2*z. What is the remainder when p is divided by (-15)\/m*-1*2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9.4 + 6. Let g = -150.9 + 164. Let d = g - l. Round d to 0 decimal places.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48 + -29. Let u(a) = -a + t - 19 - 4*a**2. Let g(v) = -11*v**2 - 3*v. Calculate 6*g(x) - 17*u(x).\nAnswer: 2*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l - 6. Let a be x(6). Suppose 0 = -4*n - a*n + 80012. Let d be (n + -3)\/(2\/290). What is d rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 4:42 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from heeeeeeeeeehhhetp. Give prob of picking 1 t and 2 h.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 21*s + 4*s + 2 in the form w*s + n and give w.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + w = 1 - 18, 0 = -3*x - 5*w + 3 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 11\/4*x**3 + 0 - 3\/8*x**4 - 1\/8*x**5 - 9*x + 3\/2*x**2 = 0.\nAnswer: -6, -2, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -349 + 349.4. What is the nearest to -0.1 in d, -3, -5\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**2. Suppose 120 = 7*h - 76. Let n(m) = -h*m**2 - 12*m + 33*m - 21*m. Give n(w(p)).\nAnswer: -112*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - 89*a + 2028. Give g(-109).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 549 - a?\nAnswer: 53e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25 and 155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 3*h - 7. Let s be m(-5). Suppose 4*g - 33 = -4*q + 5*g, -s*g = -q + 22. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 20 (c) -1 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -123.2 + -0.8. Let v = -123.5 - g. What is the third biggest value in 4, v, -1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1648*t + 1652*t = 20. Sort -1, t, 7, -5.\nAnswer: -5, -1, t, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -25. Let v = s - 6. Suppose -6*u = -v*u - 15. Calculate the remainder when 28 is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of -3*h**4\/8 - 7*h**3\/6 - 2*h**2. Let r be (0 + 1)\/(2\/(-12)). Is i(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-3\/10)*k)\/k)\/(k*k**(-9)*k)*(k*k**(2\/3))**44 assuming k is positive.\nAnswer: k**(2401\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/3))**26*(z\/(z**(1\/4)\/z)*z)**(-2\/13) assuming z is positive.\nAnswer: z**(-1385\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -597 + 600. Let j(u) = -41*u + 1. Let q(r) = 21*r. Let t(n) = -6*j(n) - 11*q(n). What is the remainder when t(d) is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 10 + (-38 - -26).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**2 - 8*y**2 - 9*y**2 - 4*y**2 + 3*y**2 + 3*y**2 + (-3*y + 0*y + y)*(-5*y - 6*y + 5*y).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14335 - 14335 - 269*s**2)*(3 - 3 + s**2).\nAnswer: -269*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -6 - (85 - 86).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 5 + (sqrt(1900) - (sqrt(1900) + -1 + 0)) + 5)**2*2.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*u + 51 + 25 + 21 - 187*u + 93*u.\nAnswer: -u + 97","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 17 = 7. Suppose 0*v = -2*v + l. Let u be (-10 - -9)*(-15)\/v. Which is greater: u or 7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-4)*x*x**26)\/(x**14)**(-34\/3))**(-2\/49) assuming x is positive.\nAnswer: x**(-1090\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 - (-25 + 34 + -29)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 92 - 8 = 0. What is the lowest common multiple of a + (-3 - -1*6) and 5?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -2*s - 6, 1660*u - 1668*u = 5*s + 16 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p, -2*p + 0*p - 49 = o. Let m = -37 - o. Calculate the lowest common multiple of 24 and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 5:00 AM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 27.751 and -6.36.\nAnswer: 21.391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3*q + 0*q - q**3 + 3 - 3*q + 7*q**2. Let y be r(6). Solve 0 = -3*v - 3*b + 21, 0 = 3*v + 2*b - y*b - 13 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 335*k**2 + 9*k + 21. Suppose 21 = 3*q + 36. Is j(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3114 (base 12) to base 15.\nAnswer: 18b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -g**5\/3 - g**4 + 70*g**3\/3 - 182*g**2\/3 + 57*g - 55\/3 = 0.\nAnswer: -11, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**2 + 7*p + 11. Let o(z) = z**2 + 33*z + 7. Let f(k) = 4*k**2 + 147*k + 29. Let r(t) = -2*f(t) + 9*o(t). Calculate 9*r(v) - 4*u(v).\nAnswer: v**2 - v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3*s**3 - 4*s**2 - 8*s - 12. Let p(l) = 4*l**3 - 5*l**2 - 7*l - 13. What is -2*p(z) + 3*r(z)?\nAnswer: z**3 - 2*z**2 - 10*z - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 252*m - 496*m + 244*m + 5*m**3.\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 4*x**2 + 2*x + 1. Let d be j(-3). Solve -8*r + d*r = 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12\/385 + 1504\/1155. Let k = -1.4 + 79.4. Which is the nearest to -2? (a) -3 (b) j (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - 2578435675\nAnswer: -2578435675.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of 207*s**6\/40 + 2977*s**5\/30 - 11*s**2 + 19*s. Find the third derivative of i(c) wrt c.\nAnswer: 3726","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40365 and 8505.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 7 + -1 + -1 + -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 428 and -302.\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1392 + 1355 + (-2 - -5) + (-8 - 0)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 9:24 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 8 = 5*n, -3*s + 4*s = -4*n - 20. Put 3, s, -2 in descending order.\nAnswer: 3, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2224458*l + 1847486 wrt l.\nAnswer: 2224458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 59*d**6 + 4*d**4*x + 1133*d**2*x + 1 wrt d?\nAnswer: 7080*d**3 + 96*d*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*f**4 - f - 2041 + 2*f**3 + 2043 - 6*f**4 + 3*f**2 in the form h*f**2 + t*f + r*f**4 + z*f**3 + c and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6426, 6431, 6430, 6423, 6410?\nAnswer: 6391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296304 is divided by 80?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 s when three letters picked without replacement from {s: 9, i: 3}?\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 10 - 2 + 19*u**2 - 12*u**2 - 8*u**2 to i*u + x*u**2 + a and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 81075, -1, 33, -4 in increasing order.\nAnswer: -4, -1, 1, 33, 81075","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 46641 and 27?\nAnswer: 419769","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 101342 - 3?\nAnswer: 101334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 305 - 924 + 306 + 2840*d + 309 to s + f*d and give f.\nAnswer: 2840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -84 + -1?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -74846000 rounded to the nearest 1000000?\nAnswer: -75000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p. Let a(k) be the second derivative of -5*k**3\/6 - k**2\/2 - 163*k. What is 3*a(v) - 12*z(v)?\nAnswer: -3*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 0, -2*r + 6*r + p = 40. Suppose 12 = -13*c + r*c. What is the closest to 1 in c, -0.1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -14. Let j(c) = -3*c + 26. Suppose -49 = -8*p + 15. Let y be j(p). Solve -y*o - 4*t - q = -5*t, -14 = 4*o - 3*t for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.168+3\nAnswer: 3.168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -742, -764, -764, -730, -650, -512, -304, -14?\nAnswer: 370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -8*m**3 + 8*m**2 + 6*m. Calculate a(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -6*t**4 - 357*t**3 - 10092*t**2 + 348*t + 10095. Let y(a) = 13*a**4 + 717*a**3 + 20185*a**2 - 696*a - 20191. Let m(o) = 7*u(o) + 3*y(o). Factor m(f).\nAnswer: -3*(f - 1)*(f + 1)*(f + 58)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-2) - (-9 - 1161\/2). Let u = 887 - w. Is 8 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/sqrt(9)*6 - (sqrt(288) - sqrt(2))**2) + ((sqrt(126)\/sqrt(7) - sqrt(18))\/sqrt(9) - sqrt(22)\/sqrt(44)).\nAnswer: -242 + 11*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 4*k**3\/15 - 6*k**2\/5 - 11. Solve h(f) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 181*k - 762*k**5 - 571*k - k**3 + k**3 wrt k?\nAnswer: -15240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -241.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2223 or 2\/5?\nAnswer: -2223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -6 - 2*r + r - 1. Let p(w) = w + 6. What is -6*p(z) - 5*v(z)?\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -49.\nAnswer: -24.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a factor of 947778?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 528164806.\nAnswer: 2, 13, 17, 97, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 407669?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1478815703 - 0.2\nAnswer: -1478815703.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w**2 - 2632*w + 5248 = 0. What is w?\nAnswer: 2, 656","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -1 - (296 - 295).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1405006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1506\/(-102408))\/(12\/(-34))?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 8*f**3 - 92*f**2 + 263*f - 89. Determine s(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: d7b3 (base 14) to base 2\nAnswer: 1001000101010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-154)\/(-55))\/((-5)\/25)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 8, v: 2}. What is prob of sequence bbv?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 325951 is divided by 707?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -550.3 + 583. What is i rounded to 0 decimal places?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 4*a**2 + a - 4. Let l be u(-3). Let q(d) = 7*d + 2. Let h be q(l). Calculate the highest common divisor of 32 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**2 - 8*h - 12. List the prime factors of i(8).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -91507 + 193278. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -11 - (4 + 12 + -2 + (-6 - -10)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2 = 3*x, -2*p - x + 30 = -5*x. Solve p = -2*d + m, d + 17 = -3*d - m for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/72*4*60\/36*(-20)\/25?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 18*q + 741. Let y(r) = -r - 6. Give v(g) + 12*y(g).\nAnswer: 6*g + 669","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hb when two letters picked without replacement from {m: 1, h: 2, b: 4}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -19, -12, 13, 68, 165, 316, 533?\n\"Answer: 2*x**3 - 3*x**2 + 2*x - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50683385 is divided by 4951?\nAnswer: 4949","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1385601 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2*s**4\/3 - 4792*s**3\/3 - 978904*s**2 - 79432192*s\/3 - 549527552\/3 = 0?\nAnswer: -1184, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*4*sqrt(80)*5.\nAnswer: -80*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**2 - 13*g + 47*g - 26*g - 8*g.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2*(-8)\/(-96))\/(21\/28). Let l = 0 + -0.5. What is the fourth smallest value in l, 2, q, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -654 divided by 6.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -231*c*n**3 + 4*c*n + 2*n**4 - 2*n**3 - 2*n**2 + n wrt n?\nAnswer: -1386*c + 48*n - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 3*u**2 + 3*u + 6. Let q(b) = b**2 - 1. Let l(k) = -i(k) - 3*q(k). Determine l(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 968580 divided by 45\nAnswer: 21524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/49321 and 93\/23775904.\nAnswer: 737053024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/(-4)*(2 + 0). Let h = -4.1 - 7.1. Let z = h - -11. What is the biggest value in 0.2, a, z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 5*t = 8, -r = -0*r + t - 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, l: 1, u: 4, r: 9, n: 4, b: 1}. What is prob of picking 1 n and 1 j?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1324045 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**5 - 36*p**4 + 56*p**3.\nAnswer: 4*p**3*(p - 7)*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/(357\/(-56)) + 4\/12*-2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216297 is divided by 210.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67, -141, -207, -259, -291?\nAnswer: -297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38124 bigger than 43814?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -10*q**3 - q - 138*q**2 + 2*q - 143*q**2 + 281*q**2. Determine y(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 10*r**2 + 11*r - 13. Let h be i(9). Suppose 0 = -h*n - 89 + 399. Suppose -l = 5*t - n, 0*l = 2*l + 5*t - 99. What are the prime factors of l?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 13689 = -7*z - 13664, 0*w + 11 = z - 4*w for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 2 (b) -1\/4 (c) 2\/27 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3443502 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*i - 10350 = -100*i. Is 9 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5984969?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 29*d**3 - 130*d**2 + 20*d + 154. Give p(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 1\/3 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -129 divided by -1754\nAnswer: 129\/1754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -148*v - 682965 + 682965. Let f(s) = -s**2. Determine u(f(z)).\nAnswer: 148*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 9*p**2 - 9*p + 13. Let x be b(-10). Suppose 5*t - 4 = 4*n + 348, -127 = -2*t - x*n. Is 15 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 393 + -145. Let j = b + -245. Suppose 6*x - 6 = 4*x. What is the closest to j in x, 0.4, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 9:55 PM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -565 = 249*f - 1561 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.01, 9\/5 in ascending order.\nAnswer: 0.01, 9\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -14336, -11650, -8974, -6308, -3652, -1006, 1630?\n\"Answer: -5*l**2 + 2701*l - 17032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/(78\/(-12))*(-8)\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6156.744 litres?\nAnswer: 6156744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9683.\nAnswer: 23, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1373290 is divided by 459?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (1 + (10 - (-4 + 16)) + 3).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**2 - 7*g + 39. Let i be k(8). Let d = i + 164. Solve -5*z - 15 = -5*a, 4*z + 2*a + d = -a for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -980 divided by -106?\nAnswer: 490\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 48 - 100. Let c be (-39)\/k - (81\/4)\/3. Let z be 6\/c - (0 + -2 - 0). Is z at least as big as -3\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*l**2 - 24*l - 598.\nAnswer: 18*l - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 24649 = 5*q - 24679, -5*q + 45 = 2*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) -0.1395 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -4*l + 5. Let p be z(-1). Solve 4*t = t - p for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1258314 is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ycxy when four letters picked without replacement from ctxtcytyycyxy?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -g + 5*g + 2*f, 3*g + f = 16. Sort g, -2, 1\/6, -0.2 in decreasing order.\nAnswer: g, 1\/6, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 5*g - 20 = -2*h, -5*g = -2*h. Let r = -9 - -1. Let f = -7.8 - r. Put -5, h, f in descending order.\nAnswer: h, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 1318 = 3*h, -2 = -2*x - 0. Let t = 442 - h. Solve 3*k + 5*l = 18 - 7, -l + 5 = t*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 18 = -166. What are the prime factors of w\/10 - (-6)\/(-15)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3530 = -73430?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**3 - 3*g**3 + 2*g**3 + 44501 - 44501 - 439*g**3 + (-2*g + 2*g - 2*g)*(-2*g**2 + 6*g**2 - 2*g**2) - 1 + 1 - 2*g**3.\nAnswer: -443*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 4:22 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - 3) + (-4)\/(-4)*-6. Is f less than -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 25 = -i, 2*c + 3*i = -0*i + 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11948*5452.\nAnswer: -65140496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 6\/7, 95, -3\/56, 2, -3?\nAnswer: -3\/56","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.84759 - -0.3.\nAnswer: -0.54759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -334 - -3?\nAnswer: -331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0053 + -1.0053. Which is the closest to -5? (a) 1 (b) -1\/10 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2*a + 2*a + 2*a)*(0 + 0 + 2) - 1 - a + 1 + 6*a + 6*a - 4*a)*(3 - 1 - 3) - 9 + 3*a - 24 + 21 to b + q*a and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 226 + -141. Let r = 157 - o. Let x = -71.99963 + r. Round x to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16898 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 52, 73, 82, 73, 40, -23, -122?\n\"Answer: -l**3 + 28*l + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2343037967.\nAnswer: 2343037967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f*w**4 + f*w**3 - 3*f*w**2 + 6*f*w + 6*f + 2*w**4 - 16293*w**3 + 5*w**2 + 76 wrt w?\nAnswer: 48*f*w + 6*f + 48*w - 97758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 969403?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-1 - 1) + -4 + 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m. Let b be t(0). Let n be 10\/(-2) + (b - 0). Let y = n + 15. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3513945*n**2 - 3718077 wrt n?\nAnswer: 7027890*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 151678 - 10919. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*l**3*t*z + 20*l**3*t - 2*l**3 + 4*l**2*t**2 + 5*t**2*z with respect to z.\nAnswer: -4*l**3*t + 5*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**3\/5 + 567*s**2\/5 - 107163*s\/5 + 6751269\/5 = 0.\nAnswer: 189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 + 96*s**2 + s**3 - 97*s**2 - 2*s**3 as g*s**3 + n*s**2 + c + f*s and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/3)\/(14\/(-6)). Let i be 12\/21 - 264\/(-77). Let z = -0.1133 - 0.0867. What is the third biggest value in i, -0.4, z, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10 - 11)*(-1)\/(-4). Which is the closest to 0? (a) m (b) 0.2 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.246504 to three decimal places.\nAnswer: 0.247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -4*r**5 + 106312*r**4 - 2762272*r**3 + 22942872*r**2 - 51614172*r - 77425632 = 0.\nAnswer: -1, 9, 26552","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 212 (base 6) in base 3?\nAnswer: 2222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/5, 2\/17, 0.5, -6?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 61.6 - 58.6. Which is the nearest to 25? (a) -3\/4 (b) q (c) 0.1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3620860 to the nearest 100000.\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/4508 and 113\/12696.\nAnswer: 622104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 3:28 AM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(3\/4)*l\/(l\/l**(-1\/16)*l))**37 assuming l is positive.\nAnswer: l**(-481\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from usj. What is prob of sequence js?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = 702*g - 664*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j**3 - 2*j**3 - 6*j**3 + 6*j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 413883456?\nAnswer: 2, 3, 7, 101, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**3 + 15*s**2 + 245*s + 225.\nAnswer: -5*(s - 9)*(s + 1)*(s + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 3459?\nAnswer: 41508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 53485995 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -5643000 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -24*n**4 - 32*n**3 - 4*n - 20. Let i(r) = -r**4 - r**3 - r - 1. Let c be 4\/(-10)*2*(-6 + -19). Let y(k) = c*i(k) - l(k). Factor y(o).\nAnswer: 4*o*(o - 1)*(o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 6*n**2 + 2*n - 1. Let p(o) = -6*o**2 - o + 1. Let q(r) = 3*p(r) + 2*s(r). Let y(u) = u**3 + 5*u**2 - 1. Let f be y(-5). Calculate q(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/(-2)*((-15)\/(-72))\/(710\/(-568))\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/2 of a millennium in centuries?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 168 divided by -7\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 121 + -142. Let v(y) = 2*y**2 + 5*y - 9. What are the prime factors of v(n)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 3)*(-3*b + 4*b - 8*b)*(-1 + 1 + 4*b).\nAnswer: -112*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10866 + 22336. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (205*122\/2501)\/1085?\nAnswer: 2\/217","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-10)\/(-1) - 3)*277071\/(-72). Let f = 26943 + u. Find the common denominator of f and -127\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11\/3 in 0, 0.017, -0.3?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k\/k**(-2)*k*k)*k*k)**(-15)*(k*k**3)**26 assuming k is positive.\nAnswer: k**149","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1 + 5*sqrt(180) + sqrt(180) + -2 + 0 + sqrt(5) + 0 + sqrt(5) + (sqrt(5) - (2 + sqrt(125))**2).\nAnswer: -132 + 19*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 30 - 3\/(-2)*-2. Suppose -t - 7*d + 21 = -3*d, 3*t + 3*d = h. Put t, 0, -4 in descending order.\nAnswer: t, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 35\/(-15) + (-1)\/3*2. Let b(l) = -l**2 + l + 9. Let c be b(s). Let d(i) = -i + 2. Calculate d(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -570 plus 34098.82032?\nAnswer: 33528.82032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -5*b + 2*v, 26 = 4*b - 0*b - 5*v. Suppose -b*r = r. Factor r*d**3 - d**3 + 2*d**2 - 3*d**2.\nAnswer: -d**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 26 - 86. What is the greatest common factor of q and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.83 to 0 dps.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 525*a - 719*a = 1515*a - 52979 for a.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4914 + a?\nAnswer: 4920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9203.263ml in litres?\nAnswer: 9.203263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -102 + 113. Calculate the greatest common factor of 22 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r**(1\/14)\/r))\/(r*r**(-3\/7)*r*r*r*r))**(2\/169))**(-2\/97) assuming r is positive.\nAnswer: r**(74\/114751)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4669*y**2 + 23*y - 4680*y**2 + 515*y**6 - 116*y**6 + 9362*y**2 + 454*y**6 wrt y?\nAnswer: 102360*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i + 33. Let j be z(-15). What is a in -2\/3*a**j + 2\/3*a**4 - 2\/3*a**2 + 0 + 2\/3*a**5 + 0*a = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 35062240 - -1?\nAnswer: 35062241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 52414146 a multiple of 438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -29*(3 + 4 + -8). Let b = -21 + w. Calculate the highest common divisor of 24 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 312.2 + -312. Let y = -1.1 + 1. What is the nearest to w in -0.8, y, -2\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nncnnnnncncnnnnnnnnn. Give prob of sequence nnn.\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 609382 and 358460.\nAnswer: 6093820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 79*o - 59. Suppose -18*q = -13 + 67. Let u(k) = -79*k + 59. Let w(a) = q*s(a) - 4*u(a). Find the first derivative of w(v) wrt v.\nAnswer: 79","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of z**4 + 5*z - 4. Differentiate w(r) with respect to r.\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, a: 1, m: 1}. What is prob of picking 1 m and 2 l?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -v - 35, -190574*v - 10 = -190570*v - 3*t for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 348 and 1479.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-8) + (-37)\/4. Let i = -6 - g. Suppose 0 = 3*w - i*r - 33, -2*w + 0*w - 5*r = -22. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.09? (a) 2546\/3 (b) -5 (c) 1 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + m - m)*(-28*m**2 - 172076 + 2*m + 172076 + 24*m**3) - 2*m**4 + 2*m**3 - 2*m**3.\nAnswer: -26*m**4 + 28*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 - (17 + 3) - 20?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 6*q + 80 = 5*q for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 5*b**2 - 9*b - 2. Suppose -h + 7 = 1. What is the least common multiple of h and d(-6)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k + 3*k + 302127*k**2 - 266787*k**2.\nAnswer: 35340*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*u**3 + 1987968*u**2 + 65858198220*u - 579706102800.\nAnswer: 3*(u + 66270)**2*(5*u - 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*((-28)\/(-6) + -5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/7 and 83\/105.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (8\/18)\/(3087\/(-189)*6\/(-21))\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59992577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186235 is divided by 93011.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 + 0*z + 0*z)*(-5*z**2 + 14 - 14) + (5*z**2 + 0*z**2 - 4*z**2)*(z**2 + 0*z**2 + 3*z**2).\nAnswer: -6*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 6:54 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 21, 54, 95, 144, 201, 266, 339?\n\"Answer: 4*y**2 + 21*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 58*s**2 + s**3 - 53 + 157*s - 154*s - 85*s**2. What is m(27)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -3*k**5\/20 + k**4\/12 - k - 2. Let s(w) be the first derivative of i(w). What is the third derivative of s(l) wrt l?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(105\/(-6)))\/(483\/6762).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2462 and 18?\nAnswer: 22158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -149*m + 478. What is s(5)?\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 6*h - 5. Let z be s(9). Suppose 0 = z*q - 27*q + 25. Let p(i) = 0*i - 2*i - 2*i + 3 + q*i. Calculate p(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 94349*b*o*y**3 - 5*b*o*y + 3*b*y**3 + 2*b*y**2 + 76705*b - 2*o - 2*y with respect to o.\nAnswer: 94349*b*y**3 - 5*b*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*8\/(-168))\/(4\/6)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**2 + 5*w + 3. Let g be d(-5). Suppose -32*p + 129200000 = -g*p. Round p to the nearest one million.\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3659434 - 5076*h**2 + 3659434.\nAnswer: -5076*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = p + q, -2*q + q - 1 = -3*p. Suppose 4*f - 36 = -4*w, 0 = w - p*f + 4*f. Let k = -978 + 1013. What is the remainder when k is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-4)*-4*(1 - -1). Suppose 1180 + 120 = u*m. Suppose 2*s = 5*x - 474 - m, -3*s = 5*x - 814. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -168490992 < -168490992?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 7. Suppose a*d - 210 = -0*d + y, 3*d = -2*y + 152. Suppose 2*q - 34 = 4*j, -j + 5*j + d = 4*q. Solve 2*v - q = -v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4512 (base 14) in base 11?\nAnswer: 8aa4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((55\/105)\/11)\/(89 + -88).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1758 - -0.0558. Which is the nearest to 0.2? (a) 0.5 (b) x (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -h - 5, -f + 8 = -2*h + 7*h. Let b be 63\/18 - h\/(-2). Solve 3*o + b*d - 19 = 6*o, -d = -4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(3 - 3 - 2*n) - 2*n - n + n + 6015 - 6016 - 179*n - 77*n.\nAnswer: -262*n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*f - 41*f + 100*f.\nAnswer: 95*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 77309617 to the power of 1\/3, to the nearest integer?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-1319032\nAnswer: 263806.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22254483*n**3*p + 6650*n**2 - 3042*p wrt n.\nAnswer: 133526898*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6828 in 0.1, -4\/3, 159?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 23, -1\/3, 90, 67, -2\/11?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 13904, 13849, 13712, 13451, 13024, 12389, 11504, 10327?\n\"Answer: -7*k**3 + k**2 - 9*k + 13919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 992 and 361677?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*z**3 - 15946 - 20*z + 15946 + 20*z.\nAnswer: 14*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 739 + -739. Solve 30 = -2*f + 4*k, 0 = -4*f - 4*k - u*k for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 9, -4*a + 5*v - 2*v = -157. What are the prime factors of a?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 54 - 75 = -3*k, 3*k + 1374 = -92*j for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.305 - -0.005. Put -2, r, 0.5, -0.2 in ascending order.\nAnswer: -2, r, -0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11\/21 - -1\/7. Suppose 6*l - 11*l + 25 = 0. Suppose 1 = -5*t + 5*r - 14, -l*t + 21 = 4*r. Which is smaller: n or t?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 26*n**2 - 85*n + 54. Give r(-29).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s - 4. Let o(p) = 3*p - 6. Let g(q) = 4*o(q) - 5*x(q). Let b(r) = -2*r + 5. Give -3*b(i) - 4*g(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 321 + -1526?\nAnswer: -1205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, r: 11}. Give prob of sequence rr.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3*(-2 + ((-1*sqrt(468))**2 - sqrt(468)) + -4*(2*sqrt(468))**2).\nAnswer: 18*sqrt(13) + 21069","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**2 + 3*a**2 - 2*a**2 + (-1 - a**2 + 1)*(1 + 0 + 1) + 46*a - 19*a**2 - 46*a.\nAnswer: -23*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 - -31. Let v = 6 - 6. Sort 4, n, v in decreasing order.\nAnswer: n, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 386 and 64?\nAnswer: 12352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1445*f**2 - 723520*f - 90567680.\nAnswer: -5*(17*f + 4256)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2. Suppose -k + 0 = -3. Let c(q) be the first derivative of -3 - 2*q**3 + 2 + q**k - 2. Determine s(c(n)).\nAnswer: -9*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -132, -159, -186?\n\"Answer: -27*h - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k - 3*g - 39, -762*k + 2*g + 50 = -757*k for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*x - 3*x - 5*x)*(0*x**2 + 0*x**2 - 2*x**2) + 2*x**3 - 3*x**3 + 3*x**3)*(5*x**2 + x**2 + 0*x**2 + (-4 + 2 - 1)*(-x**2 + 0*x**2 - x**2)).\nAnswer: 336*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49 + 399. Suppose 3*j - i = -61. What is the remainder when j is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -343719, -1374837, -3093375, -5499339, -8592735?\nAnswer: -12373569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2449 + 2446.8. Which is the second smallest value? (a) 3\/38 (b) -3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -544, -4165, -13972, -33073, -64576, -111589, -177220, -264577?\n\"Answer: -518*i**3 + 15*i**2 - 40*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4163844365 to the power of 1\/2, to the nearest integer?\nAnswer: 64528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*s*t**5 + 71*s*t**4 - 2*s*t + 8*s + 9*t wrt t.\nAnswer: -100*s*t**3 + 852*s*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 4*o**2 - 12*o + 4. Let n(i) = -i**2 - 5*i + 8. Let w be n(-7). Let r be k(w). Let p be (336\/(-32))\/((-3)\/r). Round p to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttb when three letters picked without replacement from bbbbbtbbbbbbbbbbbttb?\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 6:05 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-12)\/63*3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (26*204\/663)\/(1\/2)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/(-10))\/(6\/5). Let l be (-84)\/462 - (-112)\/374. What is the closest to -0.06 in l, -2\/19, q?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -50*z**3\/3 + 19*z**2\/2 + 20*z - 12. Let m(s) be the first derivative of g(s). Is m(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1097047*h - 1049954 with respect to h.\nAnswer: 1097047","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 7 = 27. Let u = g - -7. Factor 0 - 2\/7*l + 0*l**u + 2\/7*l**3.\nAnswer: 2*l*(l - 1)*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*z = 2*z + 60. Let m = -2 - -4. Suppose -b + 4*v = -1, -6*v - m = -4*v. Put -1, z, b in increasing order.\nAnswer: b, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f + 1031 - 10435 - 9361 = 0. Calculate the remainder when f is divided by 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 4020?\nAnswer: 4023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*(-2)\/((-16)\/(-20)). Suppose -j*g - 18 = -3*h + 13, 4*g = h - 1. Suppose h = a + d, 21 - 87 = -3*a + 2*d. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-18)\/(-15))\/((-2)\/(-5)). Suppose -3*c + 6*c + 3 = -2*q, 2*q - f*c = 15. Let g be 20\/2*10\/4. Solve -15 = 3*d - q*s, -s + g = -3*d + 4*s for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/(-4))\/((-2)\/(-12)). Let y = t + 27. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36604 + -51449. Let v = -14821.991 - l. Let r = v - 23. What is r rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -770*b + 955 = -1151 - 204. Find k such that 0 + 1\/2*k + 3\/4*k**2 + 1\/4*k**b = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -210288, -210289, -210290, -210291, -210292, -210293?\n\"Answer: -h - 210287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8\/15 + 86\/105. Sort -0.5, -7\/4, y in increasing order.\nAnswer: -7\/4, -0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55783 is divided by 2789.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/983 + 26548\/6881. Which is the smallest value? (a) 1\/3 (b) -0.1 (c) -4 (d) 2\/11 (e) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -q**3 - q + 7. Let m(o) = o**2. Determine -m(y) - n(y).\nAnswer: 2*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -5*q - 22. Let t be b(-7). Suppose t + 25 = 2*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32565 + 152372 = 23*f. What is f rounded to the nearest 100?\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7899, 8010, 8139, 8292, 8475, 8694, 8955?\n\"Answer: y**3 + 3*y**2 + 95*y + 7800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l + 5. Let f be k(7). Let z be 306000*((-6)\/f + 1). Round z to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -318 + 326. Calculate the remainder when (14 + -2)\/(q\/72) is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(1584) + 3)*-6.\nAnswer: 90 + 360*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -3*c + 58, -3*z - 228*c = -231*c + 48 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120731366*3.\nAnswer: -362194098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/((sqrt(216) + 1*sqrt(216) - sqrt(216)) + sqrt(6)).\nAnswer: sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 4*g = 50, -35 = -2*j - 109*g + 108*g. Solve 11*l + j*l = 87 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m**2 + 17. Let w(n) = -3*n**2 - n - 19. What is 3*v(s) + 2*w(s)?\nAnswer: 3*s**2 - 2*s + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -298, -1047, -2512, -4933, -8550, -13603, -20332?\nAnswer: -28977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2253b2 (base 13) to base 3.\nAnswer: -1112012221211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 5*c - 120. Suppose -q + 6*q - c = 0. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 p when four letters picked without replacement from {p: 3, i: 16, z: 1}.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011011100000 + 100?\nAnswer: -100011011011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3825 less than 2.562?\nAnswer: -3822.438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 22 = -2*f. Let y(h) = -h**2 + 7*h - 10. Let b(p) = p - 2. Let r be b(6). Calculate the remainder when f is divided by y(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1426149 is divided by 104.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 2:38 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.74 - 0.26. What is the closest to 0 in g, 0.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 329402 and 0.066.\nAnswer: 21740.532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**2 + 500083376*s - 15630211434472336 = 0. What is s?\nAnswer: 62510422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/44748 and 79\/283404.\nAnswer: 850212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 39*o**2 + 4*o + 179. Calculate d(39).\nAnswer: 335","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36182, 36182, 36170, 36140, 36086, 36002, 35882, 35720?\nAnswer: 35510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*j - 106472200 = -141*j + 21*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4067882 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 0, -3, 1941 in decreasing order.\nAnswer: 1941, 2, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -5. Let o(s) = 10*s**3 + 21*s**2 - 51*s - 5. Calculate the least common multiple of o(2) and k.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 160 + 167 - 14*h - 325 to the form q + y*h and give y.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 15*m**2 - 2*m + 2. Let t(d) = 2*d**2 + 68*d - 46. What is the lowest common multiple of w(1) and t(-35)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1576687 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4*-21 - (-5 + 1). Let b = -26 + 28. What are the prime factors of b*-2 - t\/1?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 - 7*o + 9. Let i(l) = -l**2 - 10*l + 13. Let x(c) = 5*i(c) - 7*v(c). Let r be x(1). What is the tens digit of (2 + 51\/9)*r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*m - 2123 = 0, 4*m + 245 = 5*f - 5097. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**3 - 314589*b**2 + 24727554579*b + 2203244921969 = 0 for b.\nAnswer: -89, 157339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*o**4\/17 + 162*o**3 - 18940*o**2\/17 - 5448*o - 33840\/17 = 0. Calculate o.\nAnswer: -282, -3, -2\/5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -7*h**3 + h**2 - 3*h. What is the tens digit of v(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -5 - 2*t + 3*t - 2*t. Let n(x) = -x - 4. Let a be 46\/(-10) + 4\/(-10). Let k(y) = a*l(y) + 6*n(y). Let z(f) = 5*f - 4. What is 4*k(i) + z(i)?\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 305.41 - 304. Let p = k - 1.40999881. Round p to seven dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*f**4*s + 28*f**4 - 34*f**2*s - 7*f*s wrt f?\nAnswer: -144*f*s + 672*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2363 times -1\nAnswer: -2363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 30\/24 + (-10)\/8. Suppose v = 18*o - 10*o - 1040. What are the prime factors of o?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/3 - 1423576*g\/3 - 506642156944\/3.\nAnswer: -(g + 711788)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19.8 - 3.2. Let o = -23.1 - d. What is the nearest to 0 in 5, -2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/11*(489\/652 + (-3)\/(-12)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - a**2 - 8*a - 5. Calculate the remainder when i(-4) is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46932?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12152919 and 3?\nAnswer: 12152919","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4746 + -4742. Let d be (-196)\/(-9) + (-2)\/(-9). What is the second derivative of 141*r**2 - d*r**q - 142*r**2 - 5*r - r**4 + 50*r wrt r?\nAnswer: -276*r**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 2*x**2 + 5*x - 3. Let o be c(3). Suppose -w + 25 + 4 = -o*a, -113 = -3*w - 4*a. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/10)\/(7 - (-31)\/(-5)). What is the third biggest value in -17, -1\/6, f?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 363 a factor of 1144539?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 9*c**2 - 1. Let h be z(-1). Suppose -m - 343 = -h*m. Let t = 50 - m. Calculate the smallest common multiple of 2 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*q**5 - 2608*q**4 - 22832*q**3 + 202552*q**2 - 408588*q + 231480 = 0. What is q?\nAnswer: -643, -15, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -12.0821*6\nAnswer: -72.4926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 2101825552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -390*j. Give x(-1).\nAnswer: 390","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 16. Let r(b) = 59*b - b**3 - 69*b - 6 - 2 - 8*b**2. What is the tens digit of r(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/8? (a) 1\/2 (b) 0 (c) -0.7 (d) 486\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -9. Let k = -79.6 - -77. Let u = 3 + k. What is the closest to -0.1 in u, r, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 360231 + 0?\nAnswer: 360231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 163233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 142730 and 145670?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18\/4 - (-2)\/4. What is the nearest to -1 in 6, 1, s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2052, 16105, 54226, 128451, 250816, 433357?\nAnswer: 688110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 + -36. Let q be ((-12)\/s)\/(3\/(-2)). Let j = -64 - -64.5. Which is the closest to 1\/3? (a) j (b) 1\/8 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*i + i + 3*i)*(3*i - 4*i + 0*i)*(-4 + 4 + 3*i).\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 1754426.6 to the nearest 100000.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 21*g - 3. Let j(r) = -3842*r**2 + 238. Let v(n) = -65*n**2 + 4. Let q(m) = -2*j(m) + 119*v(m). What is q(p(a))?\nAnswer: -22491*a**2 + 6426*a - 459","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 28*j + 2. Let x(f) = -42*f - 3. What is -7*h(u) - 5*x(u)?\nAnswer: 14*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/150314 and 161\/1379352.\nAnswer: 23448984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (139 + 672 + 16 - 166 + 508 + 479)*(-10*m - 10*m - 4*m) as x*m + w and give x.\nAnswer: -39552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 30*d**2 - 36*d + 4. Let r(a) = -59*a**2 + 81*a - 9. Let g(t) = -4*r(t) - 9*v(t). Let b(l) be the first derivative of 5*l**2\/2 - 21. Give g(b(h)).\nAnswer: -850*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*p - 43 + 9 - 781*p + 34.\nAnswer: -834*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p**3 + 9*p**2 + 15. Let m(o) = 4*o**3 + 14*o**2 + 22. Let r(c) = -5*m(c) + 7*u(c). Let v = 2598 - 2591. What is r(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/12)\/(1\/(-110)*-1). Calculate the greatest common divisor of m and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8414 is divided by 8377.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 14959 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 2*a + 185. Let d be m(0). Suppose -5*i - 6*b + b + d = 0, -3*i + b + 115 = 0. Factor -61 + 21 - 5*z**2 - i*z + 8*z.\nAnswer: -5*(z + 2)*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 872 + -869. Solve -4*y - 28 = -t*j + y, 4*j = 3*y + 19 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -726\/62923 not equal to 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*v + 1297 = 704 - 1627 for v.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 65456 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163 = -611*q + 609*q + 3*x, -349*q - 2*x = -592 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g - 2*o = -5*o + 5*o + 19, -5*g = 5*o - 20 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/7, -6\/127, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-43)\/(43000\/1050))\/(((-18)\/495)\/(24\/(-45)))\nAnswer: -77\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13278493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/945*-7)\/((-1)\/5)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 266*x**2 - 222*x + 1. Calculate p(1).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2511378040.\nAnswer: 2, 5, 17, 3693203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 24 + 4*f**2 + 3*f**3 - 28 - 2*f**3. Let d(r) be the first derivative of -r**4\/4 - r**3 + 3*r - 67. Calculate -5*d(b) - 4*o(b).\nAnswer: b**3 - b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87985152.\nAnswer: 2, 3, 9547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by 39\nAnswer: -14\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3*y + 3. Let a be ((-810)\/20)\/9 - (-2)\/4. Calculate r(a).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -5*d + 19 + 6, -4*w + 20 = 0. Let q be (d\/(-6) - 0) + (-3)\/(-6). Let a be ((-4)\/(-2) - 2) + 0. Solve -3*i + q*s - 2 = s, a = -3*i - 3*s for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((6*(0 + sqrt(1100)))**2 - (1*(sqrt(1100) + -1) + sqrt(1100))**2) + 2).\nAnswer: -105603 - 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/5))**(2\/3)*n*n*n**(-1)*n*n**(5\/6) assuming n is positive.\nAnswer: n**(77\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 955221302 to the nearest integer?\nAnswer: 30907","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8977 or -1440?\nAnswer: 8977","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, d: 3, c: 3}. What is prob of picking 2 m?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -1\/5 (c) 4\/7 (d) -2 (e) -1225\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/3 and -149\/246.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6153 (b) -4\/7 (c) 0.064 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 194.33 times 0.033?\nAnswer: 6.41289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -7*x**5\/5 - 5*x**2\/2 + 305*x - 446. What is the first derivative of q(n) wrt n?\nAnswer: -28*n**3 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 832, 3395, 7890, 14323, 22700, 33027, 45310?\n\"Answer: t**3 + 960*t**2 - 324*t + 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -13*b**2 - 2*b - 10. Let g(m) = -7*m**2 - m - 5. Let r(y) = 11*g(y) - 6*q(y). Let s be r(0). Solve s*j = 3*j - 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -165.89 to the nearest integer.\nAnswer: -166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13297413 to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 728, 2880, 6512, 11660, 18360?\nAnswer: 26648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3*1\/(-3 + 2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - 10. Suppose 4*x - c*x = -2. Let p(k) = 2*k**2 + k**2 - k**x - k**3. Determine p(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 75 = 4*l + 38, -26 = -2*s - 3*l for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -150 - -75. Suppose 17 = -4*n + 5*w, -28*w + 31*w = -n. What are the prime factors of n\/(-1)*(-1825)\/o?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = f - 232, -3*f - 2*f + 470 = -4*b. Calculate the remainder when (b - 3)\/((-5)\/3 + 1) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181245 is divided by 226.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a - 112 = -112 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(-2))**(1\/25)\/(x**2*x*x**(-4)\/x) assuming x is positive.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.56 - -0.14. Let p = m + -3.7000042. What is p rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -7*i + 2*i. Suppose -i*x - x + 3 = 0. Let j be ((4 - 3)\/x)\/(-1). Which is smaller: j or 1\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of b**6\/480 + 77*b**5\/30 + 1229*b**4\/96 + 307*b**3\/12 - 159*b**2 - b. Suppose m(q) = 0. Calculate q.\nAnswer: -614, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -292 + 287. Put 6\/7, 1, -3, j in descending order.\nAnswer: 1, 6\/7, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/(-12))\/((-1)\/((-4)\/(-6))))\/((-69)\/(-4347))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2 + (1*sqrt(300)*-3)**2)*3.\nAnswer: 8098","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23)\/(4140\/(-54))*(-4)\/2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4\/4 + s**3\/4 + 2*s**2 - 3*s.\nAnswer: -s*(s - 2)**2*(s + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 107720 - 62511. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -78123*n**4 - 2*n**2*w**2 - 120*n*w**2 - 182*n + w**2 - 2 wrt n.\nAnswer: -937476*n**2 - 4*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -18819 minus 1691?\nAnswer: -20510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 4, -469, -5, -6 in descending order.\nAnswer: 4, 0, -3, -5, -6, -469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 389.5 + -390. What is the fourth biggest value in 5, 4, 6, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 1. Let u be b(1). Let a be u + -1 + -6 - -3. Let z be (-1000000)\/6*(-35 - a). What is z rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 2*l + 6, 0 = 2*l - 2*f + 20 - 18 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 105*d*r**2*x - d*r**2 + 3*d*x - r**2*x - 212*x wrt d?\nAnswer: 105*r**2*x - r**2 + 3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 26. Let j be t\/(-4)*(-10)\/3. Solve s - j = -4*l + 2*s, 5 = s for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -5*d**9\/504 + d**5\/20 - 2*d**2. Find the third derivative of k(s) wrt s.\nAnswer: -600*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d68 + -18b2?\nAnswer: -a49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -1. Suppose 0 = 6*r - v*r. Suppose r = 4*q + 2*j - 210, -5*q + 238 = -j - 28. Calculate the remainder when q is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 + 21. Suppose u = 2*b - 14 - 0. Which is smaller: 4 or b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-21*(-275)\/1155)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1840476, -3680740, -5521004?\nAnswer: -7361268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y**3 + 121*y**2 - y**3 + 14*y**2 - 39*y**2 to the form o*y**3 + g*y + d + j*y**2 and give j.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q + 5. Let h be d(3). Let a(y) = -2*y + 3. Let j be a(h). Let v be 20\/60 - 38\/110. Is v smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, w: 2, f: 1, e: 6, c: 3}. Give prob of sequence ow.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1290355459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.11 + 0.21. Let g = r + -0.1. Let j(p) = -p**3 + p + 1. Let k be j(2). What is the nearest to 1 in g, -2\/7, k?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**2. Let g(d) = -44*d**2 + 7. Determine k(g(q)).\nAnswer: -3872*q**4 + 1232*q**2 - 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*o - 31 = 11 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of 0*g + 1\/4*g**5 + 0*g**4 + 0*g**3 - 33*g**2 + 0. Let w(d) = 4*d**2. Determine w(m(p)).\nAnswer: 900*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -1. Let x(g) = -4*g**2 + 5*g**s + g**3 - 2*g - 2*g**2 + 2. Let k be (2\/4)\/(1\/4). Determine x(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/11 in -2\/11, 0.4, 0.2, -0.1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1a2a9 (base 14) to base 13\nAnswer: 242b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**3 - 2*i**2 - 11*i + 12*i + 2 - 3 as c*i + x*i**3 + u + g*i**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 30532859 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19 - 7 + 7)*(18*x**2 + 6*x**2 + 17*x**2) to the form g*x + n + t*x**2 and give t.\nAnswer: -779","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -3*i - j + 117, i - 4*j = 29. Let y = i - -26. Suppose -1716 = y*r - 73*r. Is 17 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1176, -4596, -10262, -18174, -28332, -40736?\nAnswer: -55386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 - 32*x - 171. What is v(-21)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - 1 - -3 - -3. Suppose q*j = 9*j + 980. What are the prime factors of (-30)\/(-165) + j\/(-11)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 y, 1 n, and 1 q when four letters picked without replacement from enyyelnqnn?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, y: 4, u: 1}. Give prob of sequence yy.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4*(-3)\/(-8)*-10. Differentiate 12*r**2 + 57*r**2 + t*r**2 + 20 with respect to r.\nAnswer: 168*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bssxqlss. Give prob of sequence bss.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*m + 64 = 14. Find the third derivative of 8*k**m + 31*k**2 + 25*k**2 + 120*k**3 - 24*k**3 wrt k.\nAnswer: 576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 710963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2012 and 6.\nAnswer: 2018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 8*h**2 + 5*h + 12. Let o be z(-9). Let y = o - -231. Calculate the remainder when y is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/18)\/((-175808)\/(-17712)))\/(1\/8).\nAnswer: 3\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1814359601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23952, 95496, 214730, 381648, 596244, 858512?\nAnswer: 1168446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 + -14. Let x(i) = -37*i**2 - 11*i + 6. Let k be x(f). What is k rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k + 3*w + 8, w - 4 + 10 = 2*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/7)\/(u*u**(2\/3)))\/(u*u*u**1)**2 assuming u is positive.\nAnswer: u**(-170\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -48 - -73. Is 8 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 4*l + 14. Let z be h(-6). Let m(c) = c**2 + 14*c + 22. Let t be m(-12). Let r be (-76)\/57*(37\/t - 1). Is r not equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -2*l + 3*b + 24, -b - 6 = -l. Suppose l*q = -4*d + 45 + 59, -d = 4. Let r = -25 + q. Is 15 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211453 (base 6) to base 14.\nAnswer: -63d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 4, 2, 0 in decreasing order.\nAnswer: 5, 4, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 14652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3344721 (base 8) in base 5?\nAnswer: -212404013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -5*i - 38. Calculate b(2).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 4*i**2 + 7*i - 5. List the prime factors of b(6).\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 690\/(-552)*24\/(-10). What is the smallest value in 1\/5, 16.6, g?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -61*s - 35 + 114*s + 2*s**2 - 53*s in the form z + j*s**2 + b*s and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2. Let l(i) = 348*i**2. What is w(l(t))?\nAnswer: 121104*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3*(-2 + 1*(sqrt(72) + 3) + 1 + 0 + sqrt(72))**2.\nAnswer: 144*sqrt(2) + 881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*a = -2*a - 900448 + 49768. Is 15 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 0*b - b + 3*b + (b - 4*b + 4*b)*(-1 + 0 + 3) as j + u*b and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2 - 12*p - 30. What is h(10)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 8*b. Let g be y(8). Suppose -j - 4*d + 125 = g, 3*d = -3*j - 2*d + 354. Is 12 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22? (a) 0.04 (b) 0 (c) -5 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8846543, -17693082, -26539621?\n\"Answer: -8846539*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + (-2)\/8*0. Suppose j - 2*z = 3, 3*z + f + 4 = 3*j. What is the smallest value in j, 0.3, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, b: 7, n: 5}. What is prob of sequence fn?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.0004 (b) -2 (c) 5 (d) 0.7 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + 5\/15*1779. Suppose -8*n + 1911 - a = 0. Suppose h - 5*o = -2*h + 86, 5*h = 4*o + n. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**6*k*k**(-8)*k assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*g**2 - g**3 - 20*g**2.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 10. Suppose 5*d - 130 - 8 = 3*h, 5*h - 3*d = -246. Let c = 256\/5 + h. Which is greater: a or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 20) + 39 - (3 + 2 + -1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 427.507577 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -629, -1248, -1871, -2498, -3129, -3764, -4403?\n\"Answer: -2*c**2 - 613*c - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1976905 < -110?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 19?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - ((-6)\/2 + 0). Let l be (-18)\/(-5)*(-60)\/(-12). Suppose -t*c + l = -67. What is the remainder when c is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*r - 5. Let n = r + 0. Suppose 2*u - 6 = -2*g, -u - 5*g + 1 = -6. Solve -u*b + n = 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-285)\/(-665) + ((-6)\/(-7))\/(-2). Suppose f = -5*x + 5, 3054 = 3*y - 3*x - 0*x. List the prime factors of y.\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 + 19.8. Which is the third biggest value? (a) -0.1 (b) g (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 11*h**2 - 95*h - 6. Let k(p) = 2*p**2 - 17*p - 1. Let f(o) = -i(o) + 6*k(o). Let l = -4 - -9. Calculate f(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5719*b**4 + 1798?\nAnswer: 22876*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.11, 1, 0.032, -4\/3, 0.3 in descending order.\nAnswer: 1, 0.3, 0.032, -0.11, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 10:48 PM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 1. Let g(u) = u + 6. Let n(m) = -6*b(m) + g(m). Let j(d) = 23*d**2 - 25*d**2 - 3*d + 8*d. Determine j(w) - 5*n(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of -5*w**5\/12 - 8*w**2. Let n(d) = 2*d. Give l(n(u)).\nAnswer: -100*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3*r - 3 = 60, -2*r - 6 = 0. Suppose -x = 6*b - 0*b. Let j be -1 + (7 - 1) + 1. Put 5, b, j in descending order.\nAnswer: j, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1061*r + 70*r - 171*r**2 + 167*r**2.\nAnswer: -4*r**2 - 991*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-6))\/(4\/(-3))*-1?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13735.802 - 13714. What is a rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, o: 10, y: 2, c: 2, f: 3}. What is prob of sequence cy?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 357890413 a multiple of 975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 616319 and 65274?\nAnswer: 85052022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jx when two letters picked without replacement from {j: 1, f: 3, x: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9634, -9636, -9638, -9640, -9642, -9644?\n\"Answer: -2*b - 9632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 460 - 456. Suppose -v*i - 2*a = -24526, 3*i + 2*a - 5*a - 18390 = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a century in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5*(sqrt(171) + (sqrt(171) - (sqrt(171) + 0 + sqrt(171) + 5)))**2 + 0)*-1.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 787133 is divided by 494.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 16*d - 231 = 0. Let a be (-231)\/d + (-36)\/(-4). Factor 27 + 1\/3*s**a - 6*s.\nAnswer: (s - 9)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -375.5 (b) 2\/33 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1365*b*p**3*s**2 + 2*b*p**3*s + 657864*b*p**2*s + 21622*b*s**2 - b*s - 2*b - 2*p**3*s + 2*p**2*s wrt s.\nAnswer: -2730*b*p**3 + 43244*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 - -36. Let c(u) = 2*u - 2. Let w be c(6). Suppose -w = -m - m. Calculate the highest common factor of m and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*w + 16*w = 46*w - 111750. What is the thousands digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 953*s + 2*c = 947*s - 10, 2*c + 16 = -4*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/7*z**5 + 22\/7*z**3 - 26\/7*z**2 + 0 + 26\/7*z**4 - 24\/7*z = 0. Calculate z.\nAnswer: -12, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1418*z = -1444*z + 598. Solve 6 = 4*v + 3*b - z, -2*b + 16 = 2*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/2431, 0, 4, -10, 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (386 - 385)*((-4)\/(-5))\/((-12)\/20)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -162*l - 41. Let a be o(-5). Suppose -r = -3310 - a. Is r 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 53612054?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35068836290 + -2.\nAnswer: -35068836292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -12, 2\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 3*n + 5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7454 - -67088\/9. Is -13.21 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12020201201010 + -11?\nAnswer: 12020201200222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77.5 + -10475055466.\nAnswer: -10475055543.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*w - 23 + 1 - 39*w + 22.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h**3 + 2*h**2 - h. Let a be l(1). Let g = -2\/6909 - -601123\/138180. Calculate the common denominator of a\/(-26) + (-1345)\/(-208) and g.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1139*q - 1139*q - 16778*q**2.\nAnswer: -16778*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3769 and -3.\nAnswer: -2.6231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16210*v - 16210*v - 3572*v**3)*(-v**2 + 1 - 1).\nAnswer: 3572*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 14417 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - 1*(-3 + 2). Factor 3*a**3 - 2*a**5 + a**3 - a**4 - a**g.\nAnswer: -2*a**3*(a - 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 9, 5, -3 in decreasing order.\nAnswer: 9, 5, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -6*d. Let l(x) be the third derivative of -43*x**4\/24 + 96*x**2. What is 6*l(c) - 42*o(c)?\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-184)\/18400*8*(-7)\/(21\/10)?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 0*y = -1939. Suppose 1163 = 3*o + 5*x, -2*o + 332 = 3*x - 444. Let p = o - y. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 925981.8g to milligrams.\nAnswer: 925981800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3054553*o**5 - 14*o**3 - 278730263*o**2 wrt o?\nAnswer: 183273180*o**2 - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.11 - 3.89. Suppose -16 = 6*h - 2*h, -3*d - 4*h = 16. Let b be 2*(-3 + d + 2). What is the closest to 0 in o, -0.2, b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2827111?\nAnswer: 7, 131, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/6)\/(6575\/(-173580))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 2) + 4 - (11 - 9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 8:01 AM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9633*i + 9717*i = -336 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + 21 + 1 + -1. Let z = 51 - s. Suppose -n = -30 - z. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h = -12*h + 6. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -4*q - 56, -q = -z + 21 - 1. Let a be -3 + 5 + z\/9 + -5. What is the third smallest value in 0.4, -3, a, 0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 4*t - 30. Suppose 0 = 5*h - t*h + 2. Suppose 4*o = h*s + 22, -4*s + 0*s = -2*o - 4. Calculate the lowest common multiple of 12 and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*u + 140 = 41*u. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -480bab (base 12) to base 7\nAnswer: -12612320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -151 - -185. What is the greatest common divisor of 425 and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 474 - 489. Let f = -0.31 + 0.01. Put f, m, -0.4 in ascending order.\nAnswer: m, -0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 16, 56, 114, 184, 260?\n\"Answer: -q**3 + 15*q**2 + 2*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-116)\/(-6)*234\/52 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 10*k**2 + 12*k + 15. Let z be 3*1\/6*-4. What is the remainder when (-13)\/((0 - z)\/(-2)) is divided by v(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18910 and 244?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -4*sqrt(605)*4*3.\nAnswer: -528*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21.633 and 2507.\nAnswer: 54233.931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 44444 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that l**2\/3 + 9733*l\/3 + 19462\/3 = 0.\nAnswer: -9731, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 62107271 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + f - 5*y - 15, -5*f + 21 = -2*y. Suppose -f*j = s - 18, -3*j - 2*j = 0. Sort 5, s, 4 in descending order.\nAnswer: s, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2443566151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2\/7*s**3 - 152\/7 - 46\/7*s**2 + 160\/7*s = 0.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 9}. What is prob of sequence ttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 367.367 (b) 6 (c) -0.36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -12*z - 1 + 1. Let b(p) = p**2. Let v(f) = 86*f - 45*f + 6*f**2 - 41*f. Let x(s) = 16*b(s) - 3*v(s). Calculate x(c(g)).\nAnswer: -288*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -7*w + 2. Let z(u) = -u**2 - 5*u + 4. Let x be z(-6). Let b be h(x). Suppose 0 = 3*a - 5 - b. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -444 + 15542\/35. Let n = g + 31\/70. Calculate the common denominator of n and (0 - 0) + (-113)\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 - 18. Suppose z - 9 = -o*z. Differentiate z*s**4 - 6*s**4 - 3 - 2*s**4 + 1 wrt s.\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 5. Let g = 0.0436 + -1.0436. Do q and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-37*(-30)\/1110)\/((-55)\/(-35)).\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 0.1 (c) 353630\/19 (d) 54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {o: 2, d: 6}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -143883*d**4 - 17*d**2 - 37024*d wrt d?\nAnswer: -3453192*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 114 = 7*l. Let q = l + 22. Let o = 8 - 6. Solve 14 = -4*m - q*v, -3*m - o*m = v + 12 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10157 <= 9652?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1565 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 71*n**3 - 118*n**2 - 5*n + 5. Let g(r) = 2*r**2 + r - 1. Let p(m) = 10*g(m) + 2*x(m). What is the third derivative of p(v) wrt v?\nAnswer: 852","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 563126, 563125, 563124, 563123?\n\"Answer: -z + 563127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.35 + 1.55. Let b = -4.2 + z. Put -1\/2, -2\/7, -5, b in ascending order.\nAnswer: -5, b, -1\/2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 + 3*h + 2. Let s(p) = 2*p - 16. Let w be s(10). What is a(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (18 + -15 - 16)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -337 - -681. Let l = -2 + 5. Suppose q - z = -3*c, l*q = 3*c + c - 463. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 10\/9, -0.12, -196?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 402205012 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 z when four letters picked without replacement from {z: 2, q: 1, p: 4}.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 25 = -5*t. Let u(r) = -r - 4. Let k(m) = 3*m + 13. Let x(v) = 4*k(v) + 11*u(v). Calculate x(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 102\/(-8)*(19550\/3519)\/(25\/30)?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(1 - 0)*(-107 + 136). Let x be (-29 - h)*1\/2. Solve 6*c + 30 = -x*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 1.5 (c) -0.06 (d) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*q - 202715 + 202715.\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47.3 + -45.3. Which is the nearest to 0.3? (a) 0.3 (b) u (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m, j - m = -2*j. List the prime factors of 0 + 3 + j - -30.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 11. Solve -4*b + 4 = -3*f, -3*b - 26 = -i*b + 5*f for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3 + 2*j**2 + 0*j**2 + 3*j**2 - 4*j**2.\nAnswer: -j**2*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -120.99 to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 61797*a**2 + 42*a + 2118928.\nAnswer: 123594*a + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -10*o + 148. Let z be x(14). Is z less than or equal to 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12.8 + -13. Which is the nearest to k? (a) 0.3 (b) 0.5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 - 21. Is z not equal to 3\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of q**8\/1008 - 13*q**7\/630 + q**6\/24 + 17*q**5\/36 - 19*q**4\/18 - 22*q**3\/3 - 109*q**2 - 10*q. Determine m so that b(m) = 0.\nAnswer: -2, -1, 2, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 8108581.\nAnswer: -7\/8108581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 1 + (-2 - 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 4*n = 5*l - 8, 6 = l + 3*n. Suppose l = -5*i + 4*i. Let s = -106 - -105. What is the second smallest value in s, i, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 11*k - 32. Calculate the remainder when 49 is divided by f(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.13084 - 1.241. What is r rounded to 2 decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((201\/12194)\/((-54)\/(-63))).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*q**2 - 48*q**2 + 6*q**2.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52035 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(80\/44))\/(151\/(-1510)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + (-3)\/(6\/(-620)). Suppose -4*w = -3*i + 209, -4*i + 0*w + n = 2*w. Calculate the remainder when i is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -35*t**2 + 7*t - 630. Let r(k) = -16*k**2 + 3*k - 315. What is -6*g(l) + 13*r(l)?\nAnswer: 2*l**2 - 3*l - 315","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of a**2 - 98*a + 8 wrt a.\nAnswer: 2*a - 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**4 + 3552*j**3 + 35736*j**2 + 100224*j + 85968 = 0 for j.\nAnswer: -6, -2, 1194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14880 + 14880. Is -1\/4164 less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4 = -6. Let d(w) = -w**3 + 2*w**2 + 4*w - 1. Let c be d(3). What is the second derivative of c*m + 3*m**5 - 6*m**5 - 5*m + b*m wrt m?\nAnswer: -60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1416 and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 2, -0.567, -2\/9, -1?\nAnswer: -0.567","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 120*y**2 + 9. Let i(b) = 37*b. What is i(t(l))?\nAnswer: 4440*l**2 + 333","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/2 of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*a + 174*g - 169*g + 301 = 0, -9*a = 3*g - 84 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/(2*sqrt(288)))\/((2*sqrt(120))\/sqrt(10) - 2*sqrt(432)).\nAnswer: -sqrt(3)\/240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 32 - (7 + 4 - (1 - 1))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 1344 divide 136378368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 3 = -3*h, -2*h + 151 = -3*k + 145 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-3*-5*((sqrt(1372) - (sqrt(1372) + (sqrt(1372) + 0)**2 + sqrt(1372))) + sqrt(1372) + -3).\nAnswer: 20625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1129.2 - 1129. Suppose -4*w + 0*l = -4*l - 48, -4*w + 2*l + 40 = 0. Let g be 2\/8 + (-5)\/w. Which is the smallest value? (a) g (b) n (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2266 + -1318. Does 10 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/32*-20 - 1. Let w(g) = 39*g**2 + 2 + y*g - 2 - 5 - 43*g**2 - 7*g**3. Let r(j) = -j**3 - j**2 + j - 1. What is 4*r(b) - w(b)?\nAnswer: 3*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -11*k + 11. Let n(s) = 5*s - 5. Suppose 3 = 8*o - 7*o. Suppose -5*b + 0*b + 56 = o*h, -h - 16 = -b. Calculate b*n(r) + 6*t(r).\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 123, 221, 299, 357, 395?\nAnswer: 413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 24775 and 0.1.\nAnswer: 2477.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 23 - 95. Does 19 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/1731507 and 23\/9?\nAnswer: 5194521","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 367.9 times 3711.1?\nAnswer: 1365313.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 6*a**2 - 410*a + 1627. Calculate j(4).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.8 - 27.2. Let i = 9155 + -9155. Which is the closest to i? (a) -3 (b) s (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 5*d - 2*b, -5*b + 27 = 2*d - d. Let k = -2 + d. Solve -4*q - 10 = -3*s, -3*q = -k*s + 13 - 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -2*w - 1841*d + 1840*d, 5*w + 2*d = 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty sevenths of a week in hours?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - z = 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of z**7\/168 + z**6\/12 + 13*z**5\/80 - 5*z**4\/4 + 3*z**3\/2 + 610*z. Determine y so that h(y) = 0.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - 5 + 5)*(-3*z**3 + 4*z**3 - 3*z**3) - 2*z**4 - 3*z**4 - 3*z**4 + 0*z**4 + 3*z**4 - 2*z**4.\nAnswer: -3*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -606192*k**3 + 6*k**2 + 1035*k + 13 wrt k?\nAnswer: -3637152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36*d - 22*d + 47*d)*(0 - 1 + 2).\nAnswer: 61*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 21*d**2 - 2*d + 14. Let p be s(-21). Calculate the greatest common factor of 616 and p.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -2*z + 5*f - 25, 2*z - f = -2. Let a(o) = o + 4 + z - 1. What is the units digit of a(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1585 - 3*h**3 + 168*h**2 + h - 40*h**2 - 3*h - 1587 to m*h**2 + y*h**3 + x*h + o and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -90\/37 (b) -3 (c) -1\/553 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -215 - -312. Let s = 53 - i. What is the tens digit of -1*(4 - 5) - s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 6*m + 93. Determine o(-19).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35874?\nAnswer: 2, 3, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-100)*(-10)\/200*5.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m - 1. Let v(t) = -33*t + 21. Let c(z) = -42*r(z) - 2*v(z). Let s = 10 - 8. Let k be c(s). Calculate the greatest common divisor of 16 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41288013 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + (17 - (3 - -9 - 3)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 0*r + r)*(-3 - 2*r**4 + 3) - 106*r + 103*r + 2062*r**5 + 3*r.\nAnswer: 2066*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -238 - (-149 - 78) - (1 + 3 + 15 + -1).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(5\/4))\/(h\/h**(-20)))**(-45) assuming h is positive.\nAnswer: h**(3375\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1514769554 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 585734114.\nAnswer: 2, 7, 2689, 15559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.49 minus -777479773?\nAnswer: 777479772.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 877592?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -6*r**3 + 288*r**2 - 580*r + 1292. What is y(46)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 5*a. Let q(s) = 12*s**2 + 4*s - 20. Let d(k) = 2*k**2 + k - 5. Let j(t) = -4*d(t) + q(t). Determine u(j(p)).\nAnswer: 16*p**4 + 20*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 9 (c) -0.05 (d) 0.12 (e) 1546 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 1253322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + -13. Let g(d) = -3*d**2 + o*d**2 + 4*d**2 - 4*d**2. Let n(w) be the third derivative of 8*w**5\/15 + 9*w**2. What is n(g(l))?\nAnswer: 32*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(((-42)\/140)\/((2\/4)\/((-35)\/(-84))))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -97549\/54 + -443\/54. Let t = v + 1794. Calculate the common denominator of 1\/2 + 73\/8 and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 285980*u**6 - 341*u**5 - 232074165*u**2 wrt u?\nAnswer: 34317600*u**3 - 20460*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31209 - 0.20912126.\nAnswer: -31209.20912126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 119, -5\/3, -1, 4, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1847 (b) -5 (c) -256\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -0*x + h + 27, -4*h = 4*x - 20. Calculate the remainder when 21 is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4, 14, 490, 2, 1\/9, -3?\nAnswer: 490","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j + 2*j + 5*j + 3*j - 28 - 44*j + 33*j.\nAnswer: -j - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8585039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38)\/5472*12*27\/6?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 8:55 PM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/2 and 47\/77908.\nAnswer: 77908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (j**2 + j**2 + j**2)*(-58*j + 95*j + 48*j)*(0*j + 4*j - 5*j) as x + t*j**3 + g*j + h*j**2 + s*j**4 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.06, 15, -1, 4, 106.2.\nAnswer: -2, -1, 0.06, 4, 15, 106.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165442583.\nAnswer: 10193, 16231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232*q = 159*q - 360 - 31 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*d - 9 = -q + 13*d, -1 = -5*q - 4*d for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.034561894 to 3 decimal places.\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + (-1 - 1) + 3. Suppose 0 = -4*k - h*k + 40. Suppose -3*v + 21 = -0*v - k*z, -4*z = 5*v - 3. Solve x - 15 = -2*x - 4*m, -x + v*m + 5 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 5*g + 0*g + 3 - 1 - g**2. Let u = -77171 + 77175. Calculate w(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) -10 (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 0*k - 4*f, 4*f = 3*k + 7. Let z(s) = -1. Let h(r) be the third derivative of r**4\/12 - r**3\/3 + r**2. What is k*h(w) + 2*z(w)?\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-46)\/(d\/d**(-4\/9)))\/((d\/(d\/d**(4\/11)))\/((d*((d*d**5)\/d)\/d)\/d*d)))**(-4) assuming d is positive.\nAnswer: d**(16952\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -157.96114 + 157.99. Round y to 3 dps.\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 5*q**4 - 9777850*q**3 - 97779055*q**2 + 107556900*q = 0?\nAnswer: -11, 0, 1, 1955580","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 3*d + 8. Suppose s + 30 = d*s. Let v(i) = 9*i - 9. Let f be v(s). What is the greatest common factor of 9 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 685 + 398. Suppose 5 = m, -r = 3*o + m + 22. Round o to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1131594774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -4, 60, 2 in decreasing order.\nAnswer: 60, 4, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (24 + 10 - 25)*(0 + 2 - 1)*(5 - 5 + 3*f) to the form d*f + s and give d.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*t - 17 = 0, -4*v + 2*t = -t + 8. Let n be (6\/(-4))\/(v\/10). Let w(z) = z**2 + 2*z. Is w(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, i: 1, c: 9}. Give prob of picking 1 i and 1 v.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21320 and 25215.\nAnswer: 2622360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -76 divided by 19\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -5\/6, 2\/7, -0.4, -14 in ascending order.\nAnswer: -14, -11, -5\/6, -0.4, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233*s + 1535 = -36*s - 41 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**3 - 2*j**2 - 4. Let u be q(-2). Suppose -5*z - 5 = -u*z. Let i = -0.2 + 0. Is i smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158184 is divided by 81?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 75611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((180\/(-312))\/15)\/(1\/(-4))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 16*d**3 + 2*d**2 + 24*d + 34. Give w(-5).\nAnswer: -2036","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -26d (base 14) to base 15\nAnswer: -229","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -341627\/7416810 + 3\/17915. What is the common denominator of w and -11\/1196?\nAnswer: 10764","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a + 10*a + 19*a)*(5 + 9*a - 5 + (-3 + 3 - 1)*(1 - a - 1))*(-4 + 4 + 3*a).\nAnswer: 960*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 145927, 145928, 145929, 145930, 145931, 145932?\nAnswer: 145933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1*sqrt(2057) - (-1 + sqrt(68)) - (sqrt(2176) - (2*sqrt(2176) - sqrt(2176) - sqrt(2176)))\/sqrt(2))**2.\nAnswer: -44988 + 252*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -2\/13, -0.3, -2, 6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 0*d - 10 = 2*w, -d = -9*w + 40 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from -207066978.\nAnswer: -207066973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 57\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a*a**4))\/a)\/a**(-2))**(15\/7) assuming a is positive.\nAnswer: a**(-45\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 4*m + 5*g, -3*g = 4*m + g - 36. Let l be -23*(-4)\/(-4)*-1. Let k = l - m. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/12 and -89\/2412.\nAnswer: 2412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/585 and 13\/21.\nAnswer: 4095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 8 = 16. Let b be 113 - (h\/5 + 6\/(-15)). Suppose -2*s + b = -l, 2*s - 91 = 7*l - 2*l. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4911122 to the power of 1\/4, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (83853\/(-4356))\/((-34)\/16 - -2).\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000538089 rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/u**2))**(-37)*((u**(-2)\/u)\/u)**47)**(-37) assuming u is positive.\nAnswer: u**9694","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 803400 divided by -4.\nAnswer: -200850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 638268?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of d**6\/180 - d**5\/15 + d**4\/8 - 2*d**3\/3 - 4. Let t(w) be the third derivative of h(w). What is t(5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 23*b**2 - 26*b + 30. Let k be a(24). Is -2*(-1 - 21\/k)*-249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 261 or 46.6497?\nAnswer: 46.6497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72412200 = 116*r + 171*r - 329*r. What is r rounded to the nearest 100000?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2679 + 6579. Round x to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-4 - (5 + -15))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + 1 - (9\/(-3) - 3). Solve u - 13 = 2*u + t*f, 4*u = f for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1 and -16786252.\nAnswer: -16786253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of -17*v**8\/48 - 49*v**5\/60 - v**3\/6 - 116*v**2. Find the third derivative of h(y) wrt y.\nAnswer: -7140*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/3? (a) -0.11 (b) -0.3 (c) 0.3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 240053591\nAnswer: -5\/240053591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 5:38 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, y: 6}. What is prob of picking 4 y?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7661411 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1832, 32, -2\/9 in ascending order.\nAnswer: -1832, -2\/9, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-8) - (-3)\/(-6)) + -12. Let z be ((-8)\/(-60))\/(i\/(-18)). What is the second smallest value in z, 2\/5, 17?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48 - -89. Suppose 0 = q + 125 + m. Is 10\/4*q\/(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 161462210?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 16351*v + 38. Is z(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-4))\/(2\/104). Let r = -23 + l. Solve -r*b = 2*b + 20 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 5*r**2 + r - 4. Suppose 0 = 9*u - 52 - 2. Let m = u - 11. Give i(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -44, -61, -62, -41, 8?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 3*q + 73, 2*x + q - 67 = 2*q. Calculate the highest common factor of 48 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 29*j**2 - 69*j + 82. What is d(25)?\nAnswer: 857","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -124 + 124.15. Let g = 75.85 + h. Which is bigger: -1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.412494 rounded to 2 dps?\nAnswer: -2.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - (2 - 3) - (5 - 8). Let u = -11 - -8. Sort b, -4, u in increasing order.\nAnswer: -4, u, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1416)\/(-28) + 9\/21. Calculate the highest common factor of 17 and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 4*s**2 + 22*s - 82. Determine d(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -21*y**3 - 2*y**2. Let u(o) = -o**3 - o**2. Give q(a) - 2*u(a).\nAnswer: -19*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -250427488 divided by 1406896.\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 282?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19343*a + 19346*a = -4*j - 39, -3*j = -4*a + 23 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 292128 and -8.\nAnswer: 292120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 34 = -3*t, 0 = 4*t + 5*z - 8 + 1. Let d be 14\/18 + t\/(-24). Which is bigger: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2262785507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36656 and 123216853.\nAnswer: 2291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9480 and 41836.\nAnswer: 99151320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84077832.\nAnswer: 2, 3, 59, 59377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0\/(-3))\/(-1) - -2. Let y be u\/((3 - -1) + -3). List the prime factors of y - -9 - (-1 - -2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-2))**(1\/11))**(2\/11))**(-2\/9) assuming q is positive.\nAnswer: q**(8\/1089)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0142784873 to 3 dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6*((-1)\/(-3) + 0). Let g be (-1)\/h + 6\/4. Is 11 a factor of (24*g)\/((-2)\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 - -13 - 9 - -7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 72*t + 1108. Calculate g(-18).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -113221, -226450, -339687, -452932, -566185, -679446, -792715?\nAnswer: -905992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7*(-23)\/(-3381))\/(1\/(-3)*-1).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -10, 2, 3, 22, -122.\nAnswer: -122, -10, -2, 2, 3, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does -50186 = -50215?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2816 or -18684?\nAnswer: -18684","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 65\/7 at most -3\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162)*-1 + sqrt(162))*4)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + -1 + 1\/1. Let t be 6\/(z + (-52)\/(-40)). Let y be (-5)\/t - (-42)\/8. Solve 4*k + 10 = -5*p, -y*p - 6 = -4*k - 2*p for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 270*b + 29 = -265*b + 537*b, -3*b + 844 = 252*p + b for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 360 and 8885880.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38320 - 19315. Is c a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 679757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2013303 - -2122010?\nAnswer: 10201313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20900?\nAnswer: 2, 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52513548 is divided by 3357.\nAnswer: 3354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -414036794707 - 0.4\nAnswer: -414036794707.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 4, 88, 3 in increasing order.\nAnswer: 3, 4, 28, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 8*w**2 - 4*w + 2. Suppose 71*r - 58*r = 13. Calculate n(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-4)*(s*s**(-2)*s)\/s*s*((s\/s**4)\/s*s)\/(s*s**3\/s) assuming s is positive.\nAnswer: s**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14613\/27 - (-18)\/(-81) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 57431.78ms?\nAnswer: 57431780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 3) + (0 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-270)\/35 - -8 - (-13)\/28. Which is the fourth biggest value? (a) -3\/2 (b) p (c) 2 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of 19*v**2\/2 + 15*v + 8. Calculate the remainder when n(12) is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 4*w**2 + w**3 + 0*w**3 + 3 - 3*w**2. What are the prime factors of v(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3645 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/1080*-6)\/(((-2320)\/261)\/(-8))?\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-3 + 8 + 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3420395 (base 12) in base 8?\nAnswer: -46102041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f - t, -3*f = t - 0*t + 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o + 6*o + o - 6*o + 2*o + 2*o + (-5 + 5 - 2*o)*(-3 - 2 + 6) + 2*o - 3*o + 0*o + 4*o + o - 2*o to the form r + p*o and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttgggggttgggttgt. What is prob of sequence tt?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-153))\/(52\/4420)\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*p**2 + 24 - 11 - 16 - 15*p**2 - 2.\nAnswer: -25*p**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f + 40. Determine x(-5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.62 * -23291467\nAnswer: 14440709.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 12960?\nAnswer: -1\/4320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5556552668 rounded to five dps?\nAnswer: -0.55566","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wn when two letters picked without replacement from {r: 1, n: 1, w: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/31, 64, -4?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 0. Let x = 211 - 211.1. What is the closest to a in 3, x, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(7)*1 + (sqrt(28)\/sqrt(2))\/sqrt(2) + sqrt(7).\nAnswer: 4 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 44.52398 minutes?\nAnswer: 2671.4388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1)*c)**7)**(6\/5) assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 7, 0.3, -4, 0.5751, 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -7 + q - 7 - 3 + 17. Let v(o) = -476*o**2. Give l(v(s)).\nAnswer: -476*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 7:44 PM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 39, 4, -65, -180, -353?\nAnswer: -596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 809*d**2\/6 - d\/3 = 0 for d.\nAnswer: 0, 2\/809","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -2*p + 176, 134*p - 133*p - 86 = -2*r. Calculate the greatest common factor of p and 1035.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -16005283 and 0.2087.\nAnswer: -16005282.7913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 45109564?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 239 - 237. Factor 0 - 13\/5*j**x + 2\/5*j.\nAnswer: -j*(13*j - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 3798, -2, -3\/179?\nAnswer: -3\/179","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38129?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 2 (b) -1 (c) 1 (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/227 - 460\/681. What is the nearest to o in -2\/9, 2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 489680 divided by -10\nAnswer: -48968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f = -3*f - 633 + 657 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f - 2. What is p(-6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**11*v**(-3\/13)*v)\/(((v\/((v\/(v**(-1)*v))\/v))\/v)\/v*((((((v*v\/(v**2\/v))\/v)\/v)\/v*v)\/v)\/v)\/v*v*v) assuming v is positive.\nAnswer: v**(192\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -35 + 80. Calculate the remainder when c is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - v + 5. Let h = -6 - 2. Let j be (-4 - -4)*(-2)\/h. Give i(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2150814, -4301657, -6452500, -8603343, -10754186?\nAnswer: -12905029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 876.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 20*u**2 - 8*u + 0*u**2 - 64 + 3*u**2 - 22*u**2 + 80. Calculate r(-5).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of 0*j**3 - 7\/3*j**4 + 14*j - 27\/2*j**2 + 0. What is the derivative of q(n) wrt n?\nAnswer: -56*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18)\/27 + 8\/3. Let f(g) = -g**3 + 25*g**2 + 25*g + 100. Let u be f(26). Suppose -j*i = -4*i + u. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*21\/14*11*(-13)\/(-2002).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -5*i**3 + 13*i**2 + 84*i + 72. Calculate w(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 607417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2907 - 2593 = -305*g + 8244 for g.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3\/4, 4, -8?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 183 = -4*j + j, -3*j = 5*h + 175. Let k = -53 - j. What is the tens digit of (1 - 496\/k)*-3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -193 - -107. Let i = h - -89. Solve -8*s = -i*s - 15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of -b**6\/60 + b**5\/135 + 25*b**4\/108 + 14*b**3\/27 - 1901*b**2. Factor g(i).\nAnswer: -2*(i - 2)*(i + 1)*(9*i + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 6*n + 5*p = -7, 0 = 2*n + 2*p - 2. Solve 8*u**4 - 17*u**2 + n*u**3 + 16 + 2*u**5 - 2*u - 6*u + 0*u**4 - 3*u**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.4 (b) 4 (c) 49 (d) -281 (e) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tkxk when four letters picked without replacement from {i: 2, t: 6, x: 2, k: 6, g: 1}.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -38? (a) -2\/11 (b) -2\/15 (c) -0.052 (d) -1\/3 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.3 - -13.3. Let a = -101 + 112. Let u = r - a. Sort u, -3, 5.\nAnswer: -3, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38 - 44. Let r = -0.43 + -0.69. Let h = r - -0.12. Does w = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44 - 35) + -4 + 2 + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*n + 17*n - 7*n)*(-2*n - 4 + 4)*(1 - 2*n - 1).\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*z - i = 23*z + 60, 2*i = 5*z + 60 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 76961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 4:24 AM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/5 of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*sqrt(84) - (-1*(3*sqrt(84) - sqrt(84)) + sqrt(84) + sqrt(84)))\/(5*(sqrt(588) - (sqrt(588) + -1*sqrt(588)) - -1*sqrt(12)*-1)).\nAnswer: -sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -48*z**3\/7 + 120*z**2\/7 + 75*z + 375\/7 = 0.\nAnswer: -5\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/47, 5, 0.015, 1728?\nAnswer: 3\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13796 - 1338050\/97. Let j = c - 7667\/1164. Find the common denominator of 63\/40 and j.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-20) + (-9)\/24 + (-44905)\/(-1400)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 17*u - 1430 = 0. Suppose 235 = -105*w + u*w. Let y = w - 4. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*h**2 + h**2 - 3*h**2)*(2*h + 4*h - 5*h + (4 - 3 - 3)*(-1 - h + 1) + 1 + 4*h - 1) to the form p*h**2 + i*h + s + j*h**3 and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17525446?\nAnswer: 2, 659, 13297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/669 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210052.\nAnswer: 2, 17, 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.56 - 0.04. Let c = 8 + -5. Let g = c + f. Sort 4, g, 4\/3 in descending order.\nAnswer: 4, 4\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -r**5\/20 + r**4\/2 + r**3 + 5*r**2 - r - 1. Suppose 2*g + g - 21 = 0. Determine v(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 205272 and 92.\nAnswer: 4721256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-30)*v*v*v*v)\/v)\/v*v*v\/(v*v**0*v) assuming v is positive.\nAnswer: v**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 9. Suppose 4*h = -m*h + 30296. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 6 = -2. What is the third biggest value in s, -1\/4, 0.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*-3*sqrt(252)*6 + (sqrt(252) - (sqrt(252)*-5 + 1))*5 + -2)**2.\nAnswer: 6552*sqrt(7) + 1533217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10 - 25120\/(-24))\/((-1)\/3). What is u rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2623175492.\nAnswer: 2, 7, 19, 83, 59407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/3 (b) 2\/7 (c) -2363 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6566, -25772, -57782, -102596, -160214, -230636, -313862?\n\"Answer: -6402*k**2 - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**2 + 2*v**2 - 4*v**2 - 3*v**2 + 3*v**2 - 4*v**2 + (-3*v + 4*v + v)*(-v + 1 - 1) + 2 - 2 - v**2 + 97*v - v**2 - 72*v + 5 - 46*v.\nAnswer: -9*v**2 - 21*v + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 13992?\nAnswer: 13992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 4, -10, -40, -92, -172?\nAnswer: -286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 3*b - 11 = 0, 6*n + 2*b - 1223 = -1209 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38585, 154340, 347267, 617366, 964637, 1389080?\nAnswer: 1890695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zvttuzzvzzvzzuvvtzz. What is prob of picking 1 v and 2 t?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + -5)\/(1 - 5). What is the greatest common divisor of x and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147)*3*-1 - 1*6*sqrt(6)\/sqrt(2))**2.\nAnswer: 2187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 5*j**2 + 240*j + 240. Give f(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 805.21 to 1 dp.\nAnswer: 805.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7346088 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, -1\/4, -3\/2, -4, 93.\nAnswer: -4, -3\/2, -4\/3, -1\/4, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003839328111 to seven dps.\nAnswer: -0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 6*x**2 + 4*x - 6. Suppose 0 = -4*o - 30 + 2. Determine n(o).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37 + 48. Suppose -14*i = -t*i - 138. Does 5 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -8*t**3 - 20*t**2 - 3*t - 11. Let w(y) = -3*y**3 - 7*y**2 - y - 4. Determine -4*k(j) + 11*w(j).\nAnswer: -j**3 + 3*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of v**5\/60 + v**4\/6 - v**3 - 3*v**2. Is 3 a factor of a(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 5*b**2 + 2*b + 19. Let q be h(0). Solve -5*s - 4*o - q = 0, -2*o + 14 = -4*s - 4*o for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 590 and 118.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -8. Suppose -994 = -2*z + 2*x, 5*z + 9*x - 6*x = 2453. Let c = -489 + z. Solve 3*y + k = c*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 392670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tme. Give prob of picking 1 t and 2 m.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1189\/12 + -99. Let x be 19 + (2 - -1) + 1 + -5. Let v(w) = w**2 - 18*w. Let q be v(x). Which is the closest to 6? (a) -1 (b) q (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*p**2 - 3*p**5 + 28*p + 12 + 4*p**2 + 30*p**3 + 3*p + 14*p = 0 for p.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 74.102 + -74. Let m = 3.102 - s. What is the fourth smallest value in -4\/23, 4, -0.5, m?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5120222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -7*(4 - (-110)\/(-35)). Let w be 1*2\/(m\/(-75)). Let k be 5*(555\/w + -3). What is the greatest common divisor of k and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 428093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3*h - 5*h - 6, 27 = 4*q + h. Let a be ((-38)\/q)\/(239996\/(-60000) + 4). Round a to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 4*s**3 - s**2 + s + 1. Let k be w(2). What are the prime factors of k\/3 + (-2)\/6?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 660 = -15*y. What is the highest common factor of y and 231?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/18)\/(14*(-6)\/(-72))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2800\/40*(-3)\/(-2). What is the highest common divisor of 294 and b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 5*c**2 - 5*c - 4. Let m be v(-4). Let p = 3 - m. Suppose b - p - 1 = 0. Solve -6 = -0*x - 3*x, 4*x + b = 4*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 3*i + 1 = 0, -2*g + 3 = 7*i - 6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18576031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = -x + 3*r + 14, 3*r = -4*x + 56. Let k = x - 128\/9. Put 2, -5\/4, -3, k in descending order.\nAnswer: 2, k, -5\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 6) to base 14.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -4*m**3\/5 + 552*m**2\/5 = 0.\nAnswer: 0, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*1380.\nAnswer: -8280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*k + 19. Let u(j) = 8*j**2 + 3*j + 4. Let n be u(k). Calculate the common denominator of (62\/n)\/(2\/18) and 87\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*n + 2*x, -5*n - 3 + 6 = -3*x. Suppose 2*u + 17 = o, n*u = -0*u + 9. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -4*n**4\/3 + 8*n**3 + 20*n**2 + 32*n\/3 = 0.\nAnswer: -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r - 7. Let c(d) = -5*d + 158. Let s be c(32). Let g = 311 + -310. Let f(n) = n. Calculate g*u(l) + s*f(l).\nAnswer: -l - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.4 - -6. Let s = 6.9 - v. Let r = 0.3 - s. Which is the second smallest value? (a) 1\/6 (b) r (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 18921.38\nAnswer: 18918.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in 4, 3\/62, 0.3?\nAnswer: 3\/62","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnnf when four letters picked without replacement from ffnfnnfffff.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 486 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: How many minutes are there between 1:41 PM and 5:39 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -s**4\/12 - 7*s. Let y(p) = -p**2. Determine y(m(o)).\nAnswer: -o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 47350519.5 to the nearest one hundred thousand.\nAnswer: 47400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*3*((sqrt(1088) + (sqrt(1088) - (sqrt(1088) + -2 + sqrt(1088))) - sqrt(1088) - sqrt(1088))**2 + sqrt(1088)).\nAnswer: -65340 + 840*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 3*l + 1. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tutututt. What is prob of sequence uutt?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41083 is divided by 13693?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 3*w = 20, 5*i - 4*w = 75. Calculate the remainder when 42 is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-200)\/(-35)*(-1 - 15\/6).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -45393 smaller than -45392?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 5*x - 15, -3*w + x - 2*x + 11 = 0. Suppose k + 4 = 3*l, 2*k - 4*k - 10 = -w*l. Let b = k - -13. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (126\/10)\/3*5. Let b be (0 - 0)*8\/16. Let k be (b + 24\/16)*2. Solve 6 = -k*i + o for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -304 (base 7) in base 12?\nAnswer: -107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 8*f - 3. Let s(x) = -55*x + 22. Determine -22*k(h) - 3*s(h).\nAnswer: -11*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g**0*g)*g**7)\/(((g\/(g**(3\/4)\/g)*g)\/g)\/(g\/(g\/(g\/(g*(g*g**(-4))\/g)*g))))*g*g\/(g*g**(-5\/3))*g**1*g*(g**8\/g)\/g**(1\/2) assuming g is positive.\nAnswer: g**(275\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 307094 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**5*i*i)\/i**(-1\/6)*(i\/(i\/(i\/i**(-1\/3))))**(14\/3))\/(i**(-2)\/(i*i**(1\/7)*i*i)*(i*i**(-1)*i*i)**(1\/16)) assuming i is positive.\nAnswer: i**(9277\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 161*h**2*j*k - 4*h**2*j + 4286*h**2*k + 30*j*k + 9*j - 480*k wrt j.\nAnswer: 161*h**2*k - 4*h**2 + 30*k + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 973 = -0*u + 4*u, 1245 = -5*u + 2*o. Let f = u - -458. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -291*y**3 + y**2 + 2*y + 1. Is o(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 - -26. Let r be 0 + (5\/3 - (-1)\/t). Suppose -v = -z + r*v + 71, -146 = -2*z + 5*v. List the prime factors of z.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-22 + 31 - (4 - 1)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/13)*q**(2\/31)\/q)**(-2\/33)*((q*q**(3\/4)*q)**(-12\/11))**(-2\/19) assuming q is positive.\nAnswer: q**(31766\/84227)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5 + -8 - (-2 - 552)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 - -38. Solve 0 + k = -i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 992857 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 8*f**3\/3 + f**2 - 16*f + 36. Is v(-4) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8.5 - -6.5. Which is greater: w or 18\/11?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 66872*i**6 + 2*i**2 + 95*i - 33.\nAnswer: 8024640*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210 = 3*q - 4*i, 0 = -2*i - i. What are the prime factors of q?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/10 of a day?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2622895637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.024 in -0.07, -5, 0.39, 5, -3\/2?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -772*l - 22*l**3 + 772*l.\nAnswer: -22*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 1666 divide 290163585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8695863\/104 - -83615. Find the common denominator of k and -25\/91.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.4 - -0.1. Let k be (-49)\/(-17) + 458\/3893. What is the closest to -2 in -3, k, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12 + -8)*(-6)\/(-8). Suppose -1 = -y + 5*y + t*d, y - 5*d = 17. Let i be y\/1*(-9)\/(-6). Are 3 and i non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -4*h**2 - 238*h + 121. What is c(-60)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 less than -0.5?\nAnswer: -445.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/37)\/o)\/o*o*o\/(o\/o**(-21\/2))*((o\/((o\/(o\/o**0))\/o))\/o)**(1\/56) assuming o is positive.\nAnswer: o**(-23679\/2072)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 58*y**4 - y**3 - 2933*y**2 + 4*y - 35646214.\nAnswer: 232*y**3 - 3*y**2 - 5866*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 6*z**2 - 60*z. Let s(q) = -4*q. Calculate x(s(g)).\nAnswer: 96*g**2 + 240*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**4\/6 - 103*o**3\/3 + 1850*o**2\/3 - 10073*o\/3 + 10927\/2 = 0 for o.\nAnswer: -223, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -995*m + 103740 = -8405*m for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -11, 0, -2, -290 in descending order.\nAnswer: 3, 0, -2, -11, -290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 9. What is the smallest common multiple of (4\/10)\/(2\/50) and ((-8)\/g)\/(2\/(-3))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 76*b**3 - 71*b**2 - 11*b + 11. Let p(j) = -15*j**3 + 14*j**2 + 2*j - 2. Let y(f) = 2*g(f) + 11*p(f). What is the third derivative of y(i) wrt i?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5c30c19 + -3?\nAnswer: -5c30c1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1006677222 by 3.\nAnswer: -335559074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 88 and 335032?\nAnswer: 3685352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 683*n + 5685*n = -378116 + 8772 for n.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 6:56 AM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hu when two letters picked without replacement from {d: 7, u: 3, x: 4, h: 5}.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -17*i**4\/4 - 17*i**3\/2 - 39*i. Let a(v) = 5*v**2 + 5*v. Give -21*a(h) - 2*s(h).\nAnswer: -3*h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/15 - 6\/15*-41. Let g(s) = -9*s**2 + s**3 + 9*s + 24 - n - 18. What is g(8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -2\/5 (c) 60 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5*y - 8 = -2*h, 2*y - 20 = -4*h. Let a be h\/(-24) + (-23)\/4. What is the remainder when (-680)\/25*15\/a is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18480?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -26*g**4 + 4*g**3 + 5*g + 1096. Let i(n) = 12*n**4 - 3*n**3 - 3*n - 548. Let z(x) = 3*h(x) + 5*i(x). Differentiate z(s) wrt s.\nAnswer: -72*s**3 - 9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -k, 18 = 5*w + 4*k - 18. Suppose 0 = 4*o - 2*l - 64 - 52, 0 = -o + w*l + 36. Is o a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 52 = -0*f + 4*f, -h + 4*f = -22. Let j = -19 + 21. Suppose j*z - 145 = -3*z. Calculate the remainder when z is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - 8*u + 4. Let r be t(8). What is the fourth biggest value in r, 5, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 387147274*n**2 + 723003073*n?\nAnswer: 774294548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2604*q - 54880 = -1484*q for q.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/(-16)*(120\/125)\/6.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(405) - sqrt(405))\/(1*sqrt(441)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 885526232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*g + 1 = -11 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6653.3nm in micrometers?\nAnswer: 6.6533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/144 and 143\/36?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -25*x**2 - 2*x + 1. Let d be k(2). Let p = -49 - d. Suppose m - 233 + p = 0. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**4 + 410*r**3 + 7085*r**2 - 54120*r + 87120.\nAnswer: 5*(r - 3)**2*(r + 44)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 11*z. Let x(b) = -11*b. Let u(d) = -3*v(d) - 4*x(d). Let p(y) = -2*y. Determine u(p(w)).\nAnswer: -22*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 292306252*b**3 - 261012052 wrt b.\nAnswer: 876918756*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**4 - 6*s**4 + 3*s**4 + (-3 - 2 + 3)*(4*s**4 + 0*s**4 - 2*s**4) - 3*s**4 + 0*s**4 + s**4 - 185773 + 185776 - s**2 - 1554*s**4 + s**2.\nAnswer: -1561*s**4 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -246, -978, -2206, -3936, -6174, -8926?\nAnswer: -12198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 43666 and 42?\nAnswer: 130998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2888971 rounded to the nearest ten thousand?\nAnswer: -2890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r**2 - r. Suppose -h = -3*h. Suppose -5*g + 3*n + 19 = h, 3*g + 0*n + 3*n = -3. What are the prime factors of c(g)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6076 + -6075.9978419. Round a to five dps.\nAnswer: 0.00216","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 173874 or 173875?\nAnswer: 173875","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -424*j + 1347. Give p(3).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -36076 and -3.19.\nAnswer: -36079.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/15920 and -83\/42188.\nAnswer: 843760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1283563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 220 - 224. Sort m, 0, 47.\nAnswer: m, 0, 47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -214.42?\nAnswer: -214.42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -516218 or -515752?\nAnswer: -515752","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-8) - (-3 + 207\/(-12)). Suppose 4*h - 26 = -0*h + 5*f, 5*h = 2*f + 41. Let k be 1\/(h\/30)*6. Calculate the highest common factor of a and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-3)*(-300)\/10. Let u = 16 - i. Solve u = -2*v - v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 + 0.2. Put 1\/7, -0.1, t in increasing order.\nAnswer: -0.1, 1\/7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 8, b: 3}. What is prob of sequence bmbb?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2778 - -2731 - (-3 + -20)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 503\/5 or 101?\nAnswer: 503\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303 is divided by 28?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9965.\nAnswer: 5, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2213 is divided by 551?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a - 2*a - 3 - a**2 - 7*a + 2*a. Let z be x(-7). Suppose 5*n = -4*y + 23 + 25, -5*y - z*n = -60. Solve 0 = 5*l - 15, p + 4*p + l + y = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**5\/g*g\/(g**(-13\/2)\/g)*(g\/g**(2\/49))\/(g*g*(g**(10\/11)*g)\/g*g))**(3\/8) assuming g is positive.\nAnswer: g**(30885\/8624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and ((-14)\/(-21))\/(2\/12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32706 divided by 474.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 900988?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.29 in -4, 0.7, 4\/13, 131, -1?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2091 - 2157. Sort -2, 2\/11, r in increasing order.\nAnswer: r, -2, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.9006 - -2.9. What is o rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5\/12, 3, -2\/3, -4, -23 in decreasing order.\nAnswer: 3, 0, -5\/12, -2\/3, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.9 - -1. Let a = 0.4 + b. Let z = 0.002 - -0.198. Sort -3, a, z in decreasing order.\nAnswer: a, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -4*r - 1. Let h be k(-6). Let y = h - 5. Suppose -2*c + 91 = 23. Calculate the remainder when c is divided by y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 68517 divided by 22839\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 10112446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 519293 is divided by 2128?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2211.162mm in meters?\nAnswer: 2.211162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3377?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002277 rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**(-2)*w*w*w**(-5))\/(w**(2\/5)*w*w)**30)**(-1\/4) assuming w is positive.\nAnswer: w**(75\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/((-52)\/8)*3\/(-54).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6*(-1232)\/(-49) + 2\/14 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 - u**2 + 0*u**2)*(-2*u + u + 2*u) + 4*u - 4*u - u**3 + 4 - 4 - 2*u**3 + (-19*u**3 - 3*u + 3*u)*(-6 + 0 + 23).\nAnswer: -328*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5534 = 69*d + 5258 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of ((-9)\/(-4) - 1)\/(12\/659904*14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 671*f - 1474*f**2 + 741*f**2 + 734*f**2 - 130*f + 96*f to the form z*f + t + g*f**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (-15 - -51) + -11.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -5. Let o(s) be the first derivative of s**2\/2 - 5*s + 2. Let z be o(5). Solve -2*x - a - 8 = -c, z = 5*x - 2*a + 26 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 1 = 13. Suppose -3*a = 2*w + 11 + b, 2*a + 4*w + 2 = 0. Let c = 20 + a. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-15)\/20)\/((-6)\/4))\/(20\/(-160)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 269733.6407 and -429?\nAnswer: 270162.6407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44*l + 5*l + 7*l + (1 + 0 + 2)*(-2*l + l - 2*l))*(-3*l**3 + l**3 - l**3).\nAnswer: 123*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 4*u + 9 = 0, -3*v + 3*u = u - 27. Let k(x) = -x**3 + 10*x**2 - 15*x + 9. Let s be k(v). What is the greatest common factor of 17 and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26537670 rounded to the nearest 1000000?\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0123 from -57.\nAnswer: -57.0123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g**2 - 1 - 2*g + g**2 + 0*g**2. Let y be j(-1). Suppose 4*a - 3*a + 5*o - 10 = 0, -5*o + 40 = 4*a. Solve 10 + a = y*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23632587 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 - 18.1. Let c = -108 + 1186\/11. What is the nearest to -2 in -2\/13, q, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5\/3 + -2)*120\/(-14680). Which is greater: -1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 5*i - 10. Let p be a(15). Let c = p + -61. Solve -b - 7 = -5*d, -6*b - 10 = -3*b - c*d for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3728123266?\nAnswer: 2, 7, 19, 14015501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -0.01, 46, -1?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 10:37 AM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52441916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 125, 80, -25, -184, -391?\n\"Answer: a**3 - 36*a**2 + 56*a + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27 - 22) + -8 + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - 2*y**2 + 2*y. Calculate c(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 5*z + 20, -2*v = 3*z + 5 - 6. Suppose 0 = -v*i + 2*m + 42, 2*m - 34 = -4*i - 4. Solve 5*g - 5*l - i + 43 = 0, -g = 2*l + 1 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**2 + 3*d + 1. Determine m(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 - 14*t + 4990. Let f be b(64). Put f, 0, 0.9, 0.2, -3\/7 in ascending order.\nAnswer: f, -3\/7, 0, 0.2, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5*1*312\/60. Calculate the greatest common factor of 78 and d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 2:13 AM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5004 + 2?\nAnswer: 5006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 14864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 5 - 17. Let z be ((9\/n)\/(-3))\/(-1). Let a be 0\/z + 5 + 1. Solve -19 = 5*i + a for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1301 less than 217548.97?\nAnswer: 216247.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*n - 361*n**3 + 11*n + 21*n.\nAnswer: -361*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1245 (base 6) to base 5.\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110011011 (base 2) to base 7.\nAnswer: -2456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/5)\/(g*g*g**1)*g\/g**(2\/3)*g**(2\/7))**(-38) assuming g is positive.\nAnswer: g**(11096\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -6*n - 2. Let s(q) = -2*q**2. Calculate z(s(w)).\nAnswer: 12*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n - 5*n + 3 - 4*n. What is c(2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 457?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 515964464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24972677 is divided by 653?\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -0.4 (c) 1\/3 (d) 8449\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 233 - 121. Suppose 4*p = o + 130. Is p a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 295, 0, -4, 0.1, -3\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(-15)*(-5)\/((-105)\/(-18)). Factor 2\/7*j**2 - 6\/7*j + i.\nAnswer: 2*(j - 2)*(j - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -3) + 3 - (-3 + 0 + -4).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = o, 3*w - 1120 = w - 4*o. Let t = 368 - w. Let p = -115 - t. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 10*q**2 - q**3 + 7*q + 2*q + 14 - 12*q**2. What is the units digit of p(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74898 is divided by 1791.\nAnswer: 1467","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 2*f + 14, -17 = 4*o - 5*f - 51. Calculate the lowest common multiple of 183 and o.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 28710, 41724, 54738, 67752, 80766?\n\"Answer: 13014*a + 15696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 9 = 3*b, -11*g + 28 = -7*g - 4*b for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (0 + (-24)\/(-5))*200\/15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4*b + 29 = 0, 14*b + 64 = 2*k + 9*b. Is 2 a factor of -30 + k - (-1 + -29)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/17 (b) 1 (c) -4 (d) -1\/29 (e) -3384.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 4*d - 3. Let j be k(-5). Find the third derivative of 0 - g**2 + 0*g**j - 2*g**4 + 0 wrt g.\nAnswer: -48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - -8) + -5 - (-1 - -3). Suppose -b = -3*o + 14, -s = -2*o + 11. Is 1.4 > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -933, -1864, -2795?\n\"Answer: -931*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/7, 1, 0.001, 1\/2, 3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -34, 3 in descending order.\nAnswer: 3, 2, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 413, -1, 5, 1, -4 in decreasing order.\nAnswer: 413, 6, 5, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-104)\/(-60)*108\/234.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9338 = -5*b + 3*a, 9*b = 10*b - 5*a - 1850. Is 110 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141482.\nAnswer: 2, 11, 59, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28.4 - 27.67. Round b to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3*3\/180*21 and 117\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87135.61mg in kilograms?\nAnswer: 0.08713561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/53759520 and -5\/226016.\nAnswer: 376316640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-3)*t)\/t)**(-14)\/((t\/t**4*t)\/t*t\/t**(3\/5)) assuming t is positive.\nAnswer: t**(-267\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of ((-972)\/(-30))\/((-34)\/(-6290))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -q + 3*t - 48, 0 = -4*t + 4. Calculate the remainder when 32 is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of s**5\/330 + s**4\/33 + s**3\/11 - 2*s**2 + 5*s. Let m(d) be the first derivative of a(d). Determine k so that m(k) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*a - 14185 + 550 = 0. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 3*q + 1. Let j = 12 + -7. Let c be y(j). Suppose 5*p - 19 = c. Solve 0 = -r + 4*r + p for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/((1 + -2)\/1). Suppose 5*j - 25 = -r*j. Solve -3*h + 5 = -j*f, 0 = 3*f - h - 4*h - 13 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 510 and 78880.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1490599 + 0.3.\nAnswer: 1490599.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5860023 to the power of 1\/2, to the nearest integer?\nAnswer: 2421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 70062?\nAnswer: 70062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 6. Suppose 82 = 4*b + v, n*b + 0*v + 4*v = 97. Suppose -2*u + b = -3. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 401149 divided by 57307\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence veqv when four letters picked without replacement from {q: 1, x: 4, h: 1, e: 2, v: 2}.\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12123342303 - 2?\nAnswer: -12123342310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j**3 - 2*j**2 - 2. Let p be a(-2). Suppose -2*y - 87 = -3*k, -2*y + 6*y + 93 = 3*k. Suppose o + p = k. Is 9 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)*2*3)\/(sqrt(36)\/sqrt(6)*-4) + (2 + (sqrt(75) - (sqrt(75) + -3*(1 + sqrt(75))))*6)**2.\nAnswer: 7197*sqrt(3)\/2 + 24700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-9)\/36)\/(1\/30))\/3?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 82*m - 119 = 81*m, -4*h = 4*m - 156 for h.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0562 at least as big as -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -422054893 less than -7?\nAnswer: 422054886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -110020102?\nAnswer: -110020100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 48352, 104121, 159890, 215659, 271428, 327197?\n\"Answer: 55769*h - 7417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**(2\/3)*k*k)\/k)\/(k**(-15)*k))**(-29)*((k**0*k)\/(k*k**8))\/(k**(-1))**(-2\/49) assuming k is positive.\nAnswer: k**(-66548\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: e (base 16) to base 4\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1352552 and 1.\nAnswer: -1352552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52 - 49. Suppose -5142 = 2*g - f, 4*f = m*g - 0*f + 7713. Let j = -6071 - g. Round j to the nearest 100.\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2938 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-12) - 4\/(-3). Let b = -2 - -1. What is the tens digit of b + -4*(-6)\/k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 25.88183 days?\nAnswer: 2236190112000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -301223301?\nAnswer: 301223311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 2*f + 20 = 3*f, -2 = t - f. Let w(s) = -14*s - 11. Let p(r) = 8*r + 6. Let o(c) = 5*p(c) + 3*w(c). Calculate o(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0119 + -1.4589. Round t to 1 dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5718472*k**2 - 11163455 with respect to k.\nAnswer: -11436944*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2*-1 - -1)*(12 + -5). Let d = n + 9. Suppose -3*w - 2*p + 326 = 0, w - d*p = -w + 214. Is w a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - ((-4)\/3 - (-4)\/(-6)). Suppose -59 = 7*c + 4. Sort c, a, 5 in increasing order.\nAnswer: c, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - (-4)\/2)\/1. Suppose -15 = -3*w - 3*r, -4*w - 17 = -w - 5*r. Let t = x + w. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from jjtjrjrjrr.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 2:17 PM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 908.\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 15751 (base 8) in base 7?\nAnswer: 26555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1068 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2537?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4243 - 3252. What is the remainder when v is divided by 102?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17363 or -17357?\nAnswer: -17363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21294 + -21300. Suppose 3*v - 36 + 9 = 0. Let c(s) = -v + 3*s - s**3 - 6*s**2 - 5*s + 3. What is c(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, -2\/13, -0.09, 0.3, 16.7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 5*t - 176029, -115*t - 35189 = -116*t - 2*u. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -398777\/30 + 13291. Let s = -4063\/3270 - 108\/109. Find the common denominator of s and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of u**5\/60 - u**4\/6 - u**3 - 2*u**2 + 6. Determine q(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 14 = -22*u + 100 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 2 c, and 1 p when four letters picked without replacement from {c: 11, t: 5, w: 1, p: 3}?\nAnswer: 11\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)*-3)\/(sqrt(28)\/(sqrt(4) + sqrt(16) + sqrt(4))) + -3.\nAnswer: -24*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*b + 197 = -404 - 74 for b.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*b**3 + 87364006*b - 598232715.\nAnswer: 6*b**2 + 87364006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 0*l - 5*l + 45, -5*l + 13 = j. What is the smallest common multiple of j and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 316020, 633298, 950576, 1267854?\nAnswer: 1585132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8613 is divided by 6534?\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -5*s - 7. Suppose 0 = -0*v + 2*v + 12. Let r be i(v). Let k(o) = 2*o**2 - 23*o - 73. Let a be k(18). Calculate the highest common divisor of a and r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/17 (b) 1 (c) 12\/11 (d) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1269 and 519867?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 12:22 PM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -65*s + 1. Let q be j(1). Let z be q\/(-24)*(-6)\/(-4). Suppose -3*k - 2*v + 29 = 0, 2*v + 21 + 41 = z*k. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of b**5\/10 + 5*b**4\/12 + 23*b**3\/6 - 4*b**2 - 63*b. Let s(o) = o**3 + 2*o**2 + 8*o - 3. Determine -8*s(d) + 3*v(d).\nAnswer: -2*d**3 - d**2 + 5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5265 a factor of 303206085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 158400 and 98240?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -138970*h. Let n(v) = 33*v + 2. Determine n(a(k)).\nAnswer: -4586010*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 3 + (1*-8)\/4 - -29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -632493.07 - -0.4?\nAnswer: -632492.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**3 + 23*h - 39*h + 5*h + 11*h.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, v: 4, j: 2}. What is prob of picking 1 j and 1 a?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - 91592.21983.\nAnswer: -91604.21983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 883071.3ml in litres?\nAnswer: 883.0713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2496307 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 - 0.1103?\nAnswer: -0.1403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) + -1 + -3)**2 + (2 + sqrt(363))*-6 + -2)*-3.\nAnswer: -447 + 366*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -5*c**3 + 2*c + 2. Let o(l) = -106*l**3 - 2 + 4*l + 3 + 95*l**3 + 3. What is 9*i(t) - 4*o(t)?\nAnswer: -t**3 + 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(72) + (sqrt(72) - (sqrt(72) + 1 + sqrt(72))*-1) + sqrt(72) - (sqrt(128) + (sqrt(128) + 0)*-3).\nAnswer: 1 + 46*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/7))**(-29)\/(f*f*f**(-2\/7))**41 assuming f is positive.\nAnswer: f**(-550\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92520*v + 92508*v + 84 = 0. Suppose -3*b = -4*d, 7*b + 2*d = 3*b. What is the fourth biggest value in b, v, -1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 570*s + 8531. Calculate z(-15).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1947?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53*(8 + (-6 - -12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 6:30 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 90?\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 3 - 4 - (5 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1172 + 541. Let u = 798.4 + w. Round u to the nearest ten.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5374109*i**3 - 2836*i**2 + 31*i + 1.\nAnswer: 32244654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(57)\/(-5*sqrt(9)\/sqrt(3)) - ((sqrt(2736)*-1 - sqrt(2736)) + sqrt(209)\/(sqrt(44)\/sqrt(4)))))**2.\nAnswer: 2222316\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.85 - -0.891. Let b = -9.959 - p. What is the third biggest value in -3, b, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1761875 and 325.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (sqrt(2057) + (sqrt(2057) - (sqrt(2057) + 1 + -1)))*1 + 5)*-1)**2.\nAnswer: 22*sqrt(17) + 2058","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -11 + 1\/(60\/672) + 434\/5. Solve 0 = z*f - 91*f + 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**2 + 5*v + 275. What is b(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 125 = -480. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 597\/8 not equal to 74?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c. Let q(d) = 624*d**2 - 13*d - 13. Let l(b) = -105*b**2 + 2*b + 2. Let v(g) = 13*l(g) + 2*q(g). What is x(v(u))?\nAnswer: 234*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 274875412 and 0.2.\nAnswer: 274875412.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 48.9 and 1656.\nAnswer: 1704.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.01 + 0.19. Let w = 57 - 227\/4. What is the closest to m in w, -3, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 11:56 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1601686881?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 2*l**2 + l + 2. Let d be i(0). Sort d, 6, 1 in increasing order.\nAnswer: 1, d, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 9*q**2 + q + 3. Let v be s(-9). Let r be 3 + v\/(-3) + -3. Solve 7 + 3 = -r*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -123 - 10413014221?\nAnswer: -10413014344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + j - 4. Let r be t(-2). Let d be (-1 + 2)\/(r\/(-42)). Does 24 divide 3324\/d - (-4)\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-11)\/(-1) - 6)*(-19 + 10). Which is bigger: i or -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 19 = x - 27, 0 = 3*o - 4*x + 13 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 5939*m**3 - 8*m**2 + 7*m + 4. Let f be i(4). What is f rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6*(-6)\/(-15) + -2. Let h = -7.4 - 20.1. Let g = h - -26.5. Which is the closest to -0.1? (a) 4 (b) g (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 652 + -646. Solve 9 = -f*w + 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -4*z**2 - 1062*z - 393. What is g(-265)?\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -4*r - 2. Suppose -5*y + 5 = -2*t, 3*y - t = -3*t + 19. Suppose d + 5*h - 54 = 0, r*d - 3*h = y*d + 214. Is 12 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4*f**2 + 5. Let y be u(0). What is the nearest to -0.3 in y, -0.2, -0.02?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1753 is divided by 288?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, y: 2, l: 2}. What is prob of sequence ly?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + -3 + 20\/8. Let k = t - 1\/6. Let k*l**3 - l + 2\/3 + 0*l**2 = 0. What is l?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.24 - -0.74. Suppose -7*s = -6*s - 9. Suppose -6*u = 3*u + s. Which is the third biggest value? (a) r (b) 2\/13 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, d: 4, f: 4, u: 4}. Give prob of picking 2 d and 1 u.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6682\/9 - 740. Calculate the common denominator of 41\/32 and k.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4268 - -25685\/6. Calculate the common denominator of y and -1\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4*1 + (-13 - -74) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**2 + 369549*w + 1108674 = 0. Calculate w.\nAnswer: -3, 123186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*l + 29*l + 33*l + 33*l - 81*l + 10*l**2 + 30*l.\nAnswer: 10*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -46*b**3 + 131*b**2 - 7. Let p(z) = 19*z**3 - 65*z**2 + 3. Determine 3*m(g) + 7*p(g).\nAnswer: -5*g**3 - 62*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*c = 40*c + 391 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 79*n + 88*n + 18 - 260*n + 80*n. Determine i(4).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 239*d. Let v(a) be the third derivative of a**4\/12 + 27*a**2 + 14*a + 2. Calculate l(v(n)).\nAnswer: 478*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14192, 28447, 42702, 56957, 71212, 85467?\nAnswer: 99722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.186878m to nanometers.\nAnswer: 8186878000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 366 and 85827.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 7) to base 2\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -12*t - 3. Calculate v(3).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 7*z**2 - 5*z - 4. Let u be a(6). Suppose -4*f + 1 = 2*r - 5, 0 = -2*r + 6. Solve -p - u = -f for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.6 - -2.6. Let l = 5.08 - 1.08. What is the biggest value in 1, q, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 132080?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 592*c - 3554. What is r(6)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -85391*t**5 - 21147*t**2 + 2*t?\nAnswer: -5123460*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 7*n - 104. Calculate y(12).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1746.124l?\nAnswer: 1746124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -50.3 + 1.3. Let p = 49.1 + l. Let f = 791\/6 - 132. Which is the biggest value? (a) -1\/3 (b) p (c) -5 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 5*i - 25 = -2*y, -4*i = -4*y - 32 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, w: 1, b: 3, j: 2}. What is prob of sequence bbb?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(-2 + 0 + 1). Let b(n) = n. Let h(u) = 11*u + 5. Let p(x) = 2*b(x) + h(x). Let j be p(5). What is the highest common divisor of t and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*l**2 + 21*l**2 + 33*l**2)*(-3 + 3 - 1 + (-1 - 3 + 2)*(2 - 2 - 1) + 5 + 0 - 12).\nAnswer: -528*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p**3*q*z - p**3*z**3 - 9*p**2*q*z + 2*p*q*z**3 - 3*p + 8*z**3 wrt p?\nAnswer: 12*p*q*z - 6*p*z**3 - 18*q*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 10 = b + 4*m, 0 = -3*b + 3*m - 6 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -46, -2, -31328 in decreasing order.\nAnswer: -2, -46, -31328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a litre in millilitres?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 31 - 53*p - 31 - 9*p in the form m*p + h and give m.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.13 and 1656153?\nAnswer: 215299.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bn when two letters picked without replacement from {b: 6, c: 3, n: 8}?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.18 - -0.18. What is the nearest to u in 6, -2\/15, 0?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 44456285?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*y + 146 - 82 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 10*l. Let i be (-32)\/(-48)*3\/2. Suppose -3*k + 12 - i = w, 5*w - 27 = -k. Let d(f) = 0*f**2 - w*f**2 + 4*f**2. Give d(v(u)).\nAnswer: -100*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100122 (base 3) in base 12?\nAnswer: 14bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, -541, -1478, -2843, -4624, -6809, -9386?\nAnswer: -12343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1444)\/(-6)*(40 + -37). Solve 727*t + 35 = a*t for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 250929 and 4410.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmdzyzmdtmmmmdd. What is prob of sequence ymzz?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a millennium in centuries?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -5*s**2 - 7*s - 68. Let m(z) = 3*z**2 + 4*z + 34. Let d(b) = 3*l(b) + 7*m(b). Is d(-11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.1 (b) -2.5 (c) 0.3 (d) 10\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2025\/6075)\/(2\/30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(16)\/(sqrt(128)*5).\nAnswer: sqrt(2)\/20 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -928161 (base 10) in base 14?\nAnswer: -1a2373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -25, -82, -177, -310, -481, -690, -937?\n\"Answer: -19*d**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 6. Let k = x - 2.2. Let h = -1.9 - 2.1. Which is the third biggest value? (a) 3 (b) 0.07 (c) k (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**4 - 3*h**4 + 4*h**4 + (-2*h - 436 - 3*h**2 + 436)*(7 - 4*h**2 - 7).\nAnswer: 10*h**4 + 8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 355*d*u**3 + 2*d*u**2 + d*u + 2*d - 606966*u**3 wrt d.\nAnswer: 355*u**3 + 2*u**2 + u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3223.14 + 267516888\nAnswer: 267520111.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**2 + 23 - 23 - 37*w + (-5*w + 4*w + 3*w)*(-2*w + 0*w - 4*w) in the form d + q*w + l*w**2 and give q.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67909 is divided by 46.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*-26*(-1)\/2. Let c be 37 - -3 - (-2 - (0 - 3)). What is the highest common divisor of w and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) 4\/13 (c) -1 (d) -2\/3 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + y = -39, 2*y + 3 - 10 = 31*t - 30*t - 0 + 3 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q. Let a be -5 + (-18)\/(0 - 3). Let v(p) = -p - 2. Let t(m) = a*v(m) + 2*j(m). Let f(y) = 9*y + 5. Give 3*f(k) + 8*t(k).\nAnswer: 3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-1 - 6) + 1 - ((-42 - -44) + 29).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of 5*l**4\/24 - l**3\/3 + 4*l**2. Let s be b(2). Calculate the greatest common factor of 8 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 16) to base 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**4 + 24648*d**3 + d**2 + 1 + 0 - 24652*d**3 + d + (-3*d + 3*d - d**3)*(2*d - 5*d + d).\nAnswer: 4*d**4 - 4*d**3 + d**2 + d + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00468894158 rounded to four dps?\nAnswer: 0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, x: 7, u: 1, q: 6}. Give prob of sequence xuq.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -11*r + 122. Let c(n) = -4*n + 41. Determine -8*c(j) + 3*t(j).\nAnswer: -j + 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 601812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (11 + -16 + 7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*a + 16*a - 126 + 127 to o + x*a and give x.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38275 - -38280. Sort u, -0.4, 7, 1 in descending order.\nAnswer: 7, u, 1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -455*c + 2523 + 5212 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3313943?\nAnswer: 3313943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -y + 20. Calculate the greatest common factor of 132 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252 = -3*r + 2*q + q, 0 = 3*r + 4*q + 259. Let x = r - -127. Let y be 6*-2*4\/(-8). What is the highest common factor of y and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.033 + -1868?\nAnswer: -1868.033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2 + 1954*h - 1954*h. Let q(y) = 5*y - y + 7*y. Calculate q(v(s)).\nAnswer: 22*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1844640 is divided by 368903?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97450.\nAnswer: 2, 5, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 174 = -38. Suppose 0*f - 5*f - m = 47, m - h = 5*f. Which is greater: f or -12?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 4*f = -3*f - 74*d + 77*d + 65, 0 = f - 4*d - 40 for f.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 102773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -1. Let x(z) = 16 + 17*z - 18*z + 10. What are the prime factors of x(t)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0*t = 16. Let w = 41 + -100. Let d = -39 - w. Calculate the least common multiple of t and d.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 575.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 33*4*3\/9. Let r = l + -40. Solve -2\/3*y**r + 0 + 0*y + 0*y**3 + 2\/3*y**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 247*c + 97. What are the prime factors of o(3)?\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 4*p**2 - 4*p + 6. Let i be (((-1)\/2)\/(2\/(-20)))\/(-1). Let x be o(i). What is the highest common factor of x and 51?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5747 (base 10) in base 12?\nAnswer: -33ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 23\/8 + (-12)\/4. Let z = d - -3\/8. Let i = -3.03 + 0.03. What is the closest to z in -1, i, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.7+-9.5\nAnswer: -7.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 5*x + 3*i = 55, 2*x = -5*i + 3. Suppose -13*s - 184 = -x*s. Suppose 4*a - 252 = s. What is the remainder when a is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11535 + 11541.2. Put 2\/3, h, -0.3, -0.5 in descending order.\nAnswer: h, 2\/3, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 89, 1, -3 in ascending order.\nAnswer: -3, -2, 1, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 20254.3 * 0.024\nAnswer: 486.1032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + 16.2. Let g = -11.647 - -11.7. Let s = g - -0.147. Which is the closest to s? (a) 0.3 (b) u (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 431 is divided by 215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -209*m**2*w**2 + 12*m**2*w - 27*m**2 + m*w + 3825*w**2 + 142*w wrt w.\nAnswer: -418*m**2 + 7650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -993*b - 9930. What is l(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 2*u - 32, 0 = -31*u + 36*u + 3*h - 42. Suppose g - 3*g + 14 = 0. Let v(w) = -5 + g*w + 3 - u*w + 9. Determine v(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 748 (c) 0.1191\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.088 times 0.3?\nAnswer: 0.0264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -3*y - 3, y + 21 = 5*o - o. Suppose v + o*s + 12 = -s, 3*s = 3*v - 18. Factor -17 + v*f**2 + 17.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 times -68.88563?\nAnswer: -41.331378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0122235 micrograms to tonnes.\nAnswer: 0.0000000000000122235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, l: 2, t: 2, h: 1, m: 2}. What is prob of picking 1 h, 1 t, and 1 m?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -73 - (37 - (-20 - -130)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2624868 and 115668.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 4*n + 6. Let l(c) = 2*c**2 + 9*c + 12. Let x(i) = -3*l(i) + 5*z(i). Solve x(y) = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6656777?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.1, -1\/27, 8, -2, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 5:33 PM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28684 by 4.\nAnswer: -7171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41.933 - -42. Let b = n - 34.667. What is b rounded to the nearest integer?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 457 - 457.1. Which is the closest to 0.2? (a) s (b) 1 (c) 8.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0311 - -3.9689. Which is the third smallest value? (a) 2\/7 (b) s (c) 2\/239\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*(2 - 25\/15). Suppose -3*c + 5*q = 32, -5*c + q - 1 - 23 = p. Is c bigger than -8\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from owwwwwwowwow. Give prob of sequence owoo.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus 0.043?\nAnswer: -0.143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 0.02745.\nAnswer: -0.13725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -28*q - 685. Give t(-13).\nAnswer: -321","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/7, 345, 0.07, -0.13?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20194362?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 452 - 201. Suppose -o - k = -256. Solve 0 = -3*l, -o = -v - 3*l - 3 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/(-9)*(3 - -1). Suppose 0 = z*p - 5*n, -p - n - 4*n = 0. Sort p, 4, -5 in descending order.\nAnswer: 4, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 42876006?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*t + 181*t = -160. Which is the second smallest value? (a) 0.42 (b) t (c) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -2, 0.5 in descending order.\nAnswer: 21, 0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 330 and 264?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 is divided by (-14)\/(-3) + 21\/63.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2*b = -8, 2*b = 3*b + 1. Put 1, 4, a, 2 in decreasing order.\nAnswer: 4, 2, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 152 and 292.\nAnswer: 11096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -1157*q - 19151*q - 2251*q - 3336*q as p + b*q and give b.\nAnswer: -25895","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (11 + 5)\/(-8) + 10.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 440 divide 1614122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 8*u - 17. Let s(l) = -2*l + 4. Let k(i) = -3*i - 19. Let b be k(-7). Calculate b*a(q) + 9*s(q).\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-55250)\/5100)\/((45\/6)\/(6\/(-1)))\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 635381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 61862.496 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -19*f**2 - 7*f - 5. Determine u(-2).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4053 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 20*i**2 + 2*i. Let j(t) = -555624*t. Calculate a(j(h)).\nAnswer: 6174360587520*h**2 - 1111248*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 10*o. Let m(j) = -3*j + 12. Let u(r) = -4*r + 15. Let d(p) = 5*m(p) - 4*u(p). What is d(f(g))?\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 5 + (-25 - -18)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 74505 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of 7*b**5\/20 - 115*b**4\/12 + 3065*b**3\/6 + 12*b - 76. What is the second derivative of i(s) wrt s?\nAnswer: 42*s - 230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**5 + 38677*a**4\/2 + 67695*a**3\/2 + 19343*a**2\/2 - 9671*a\/2 = 0.\nAnswer: -1, 0, 1\/4, 9671","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -1036.\nAnswer: -5\/1036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5390*j**5 - 18*j**4 - 7*j**3 - 154*j - 5189?\nAnswer: -107800*j**3 - 216*j**2 - 42*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 11 - 15 + 5 - 2*j**2. Calculate o(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255581 bigger than 255580?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2525769247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12795*t**3 - 3*t**2 - t - 8238 wrt t?\nAnswer: 76770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l*s**3 - 60*l*s**2 + 148*l*s - 18847*l + 18433*s**2 - s + 2 wrt s.\nAnswer: 6*l*s - 120*l + 36866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - 2 - 19*-1. Suppose -5*i - 8*s + 3*s = -u, 60 = 5*i - 3*s. Let v = -5 + i. Solve 4*j = w + 25, -w + 5*w = v*j - 40 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 188*r - 172*r - 3 + 0 in the form i*r + b and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4 = -0. Let c(k) = 0 - 3 + k**o + k + k. Suppose 4*p - 2*x = -14, 23 = -5*p - 3*x - 0*x. Give c(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 3*b = 2*x - 14, x + 5*b - 12 = 0. Suppose -24 - 16 = -x*m. What is the smallest common multiple of ((-36)\/(-15))\/(3\/m) and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**4\/3 - 4*v**3\/3 + 2*v**2\/3 + 4*v\/3 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 3:12 AM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 11\/4 of a kilometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -622149 to the nearest 1000.\nAnswer: -622000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**(1\/15)*r)\/r)\/r)\/r)\/((r**(2\/5)*r)\/r)*(r*r*r**(-2\/5)*r)**(-19\/3) assuming r is positive.\nAnswer: r**(-94\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2285*10\/(-36000) - (18\/15)\/(-3) and -59\/1548.\nAnswer: 6192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1060, -2143, -3230, -4321, -5416, -6515, -7618?\n\"Answer: -2*d**2 - 1077*d + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -146361, -292769, -439177, -585585?\n\"Answer: -146408*f + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -10*a. Let k(c) = -2*c**2 + 3*c + 10. Let o be k(6). Let p(x) = x. Give o*p(r) - 4*s(r).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1746 * -1.77\nAnswer: 3090.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 10.01913 centuries?\nAnswer: 100.1913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -566, -560, -570, -602, -662, -756, -890, -1070?\n\"Answer: -j**3 - 2*j**2 + 19*j - 582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.11998727 + -1.1201. What is h rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1523.\nAnswer: 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3.07 * -5\nAnswer: -15.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p - 7045*o + 7071*o + 333, 3*o = 5*p - 3*p + 4 - 45 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -0.3, 52, 5, -2.6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29.95 - 31. Let i = 0.73 + -0.78. Let d = i - v. Which is the nearest to d? (a) -0.2 (b) 0.3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, h: 6, t: 7}. What is prob of picking 2 v?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1725510 at most as big as 35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 37.025 times 0.5\nAnswer: 18.5125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 4. Suppose -5*i = -10, 3*o - i = 4 + 48. Suppose 4*k = -2*a + 10, -a - o = -3*a - 2*k. Let m = 13 - a. What is t(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1960 and 2625.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36 - -2. Suppose -5*c = 3*v - 0*c + 81, -v - f = -2*c. Let t = v - -50. Is 5 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 50\/39327?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)*1*2)\/sqrt(2).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a0a (base 14) to base 15.\nAnswer: -15e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.371579 and -0.066.\nAnswer: 0.305579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 3. Let s(p) = 2*p + 5. Let h be s(-4). Let r(l) = -4*l - 1. Let n be r(h). Solve -n = 5*w - t, 2*w + 4*t - 2*t + 14 = y for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2203\/2760 + -1\/552. Which is the third smallest value? (a) 0 (b) -1.4 (c) q (d) 4 (e) 8\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (161*c - 91*c + 28*c)*(-1 + 2 - 3) + (-2 - 2 + 2)*(4*c - 2*c - 3*c) to the form n*c + i and give n.\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -272297, -272298, -272299, -272300, -272301?\nAnswer: -272302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*((g\/((g*g\/(g*g**16))\/g))\/g)\/g)\/(g**(-17)\/g) assuming g is positive.\nAnswer: g**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3 (b) -2703 (c) 10 (d) 1.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**18*x)\/x)\/(x*x**5) assuming x is positive.\nAnswer: x**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1395220 rounded to the nearest 1000?\nAnswer: -1395000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.8594133 - -7.862. What is x rounded to five dps?\nAnswer: 0.00259","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -15, -1, 3 in decreasing order.\nAnswer: 3, -1, -6, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = m - 6*m. Suppose m = -t + 2*t. What are the prime factors of t\/((-1)\/((-6)\/4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) + 1 + sqrt(27) + -2)*-5*3.\nAnswer: -90*sqrt(3) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 - 23. Let s = -37.56 + 32.16. Put 0, i, s, 2\/3 in increasing order.\nAnswer: s, i, 0, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n**4 - 8*n - 5 + 4*n + 6*n + 10 + n**3 in the form v*n**2 + d + u*n**4 + z*n + m*n**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 47309281?\nAnswer: -47309281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 1 = -2. Let q = -3 - h. Let j = -32\/5 + 86\/15. Which is greater: q or j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -29*o - 40. Let s(l) = 20*l + 27. Calculate -7*s(f) - 5*u(f).\nAnswer: 5*f + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = 2*l - 3, -5*m = -2*l - 9*m for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103 + -22310?\nAnswer: -22201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (34 - 36) + 3 + -11?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.858 times -327110?\nAnswer: -934880.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, 1053, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dgdc when four letters picked without replacement from {c: 1, g: 1, d: 5, h: 12}.\nAnswer: 5\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.83 rounded to zero dps?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y**5\/7 + 310*y**4\/7 - 1522*y**3\/7 + 2500*y**2\/7 - 1200*y\/7 = 0. Calculate y.\nAnswer: 0, 5\/6, 2, 3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 137890 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1331 - -1030233?\nAnswer: 1022302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*v + 145 = -20*v - 3*j, 2*j = 3*v + 108 - 102 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*d - 2*d - 3*l + 22, -2*d + 9*l - 7*l = 14 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**5\/(s\/s**1))**(-4\/13) assuming s is positive.\nAnswer: s**(-20\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 100 + -104. Calculate the remainder when 205 - (-32)\/b - 2*2 is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-31)\/93 + (-8)\/3. Let w be (-1)\/c - 913\/(-249). Solve 0 = w*m + m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23*a*b*k - 9*a*b + 3*a*k - 799*a - b*k - 2*b wrt b.\nAnswer: -23*a*k - 9*a - k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of 5*z**3\/6 + 3*z**2\/2 - 14*z - 2. Let g(b) be the first derivative of -2*b**2 - 3*b - 5. Give 2*c(p) + 3*g(p).\nAnswer: -2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1.55 * 6006\nAnswer: 9309.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 88\/(-154)*21\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -75367000 to the nearest 1000000.\nAnswer: -75000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x - 4*x - 2*x + (-2 - 3 + 3)*(-7*x + 3*x + 3*x) + 5 - 5 + x - x - x + 3*x - 2*x + 0*x + x)*(0*x**2 - x**2 - 4*x**2) - x**2 + x**3 + x**2.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z**4 + 6*z**2 - 3*z**2 - 2*z - 2*z**2 + (1 + 0 + 0)*(-z**4 - z**4 + z**4).\nAnswer: 3*z**4 + z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -68 - -70. Let o be 180\/40 + (3\/a - 2). Solve 0 = -y - y + o for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -591 - -594. Solve -5*t + 2*t + 3*f = 30, l*f - 15 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3557.78584 rounded to the nearest one hundred?\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 559847588?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3*x + 43. Give t(19).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14578 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 3582000 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -97325*p**4 + 898*p**2 + 813030*p - 716?\nAnswer: -1167900*p**2 + 1796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21200120 (base 3) to base 7.\nAnswer: 22224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**3 - 34*c**2 + 4*c - 66. Let u be t(17). Put u, -64, -11 in ascending order.\nAnswer: -64, -11, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*r + 140 = 64 - 104. Which is the second biggest value? (a) -0.5 (b) 12\/11 (c) r (d) 4 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 183640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.18 - 1.42. Let g = p + 1. Round g to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 9, 35, 89, 183, 329, 539, 825?\n\"Answer: 2*z**3 + 2*z**2 + 6*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.7871 + -1.9871. Sort -5, l, 11, -2\/21, -0.1 in decreasing order.\nAnswer: 11, -2\/21, -0.1, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 170745 and 21.\nAnswer: 1195215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -271, -530, -773, -1000, -1211, -1406?\n\"Answer: 8*c**2 - 283*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 770808.\nAnswer: 2, 3, 32117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.8 + -1. Let u = c - 0.3. Let k = 1.2 + -6.2. Put 3\/2, u, k in increasing order.\nAnswer: k, u, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 f when three letters picked without replacement from fdfffcdgdcc?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w\/(w\/(w*(w*w\/w**(-6))\/w*w)*w*w))))\/w**(-8)*w**(11\/5)\/w**4 assuming w is positive.\nAnswer: w**(66\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 72\/7 + -10. Let w = 0.9 - 0.8. Let j = -5 - -4.7. Which is the nearest to o? (a) -5 (b) w (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5413 - 891 = 14*c. Let r = -72 + c. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*g, -4*k + 4*g = k - 1157. Does 15 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7207 (base 11) to base 8.\nAnswer: 22536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*y = -156. Suppose 0 = 3*r - 0*r - y. Let z = 39 - r. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.056 and 0.5.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/10*334\/(102872\/12705).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 - -21. Suppose 4*j + 2*b = 7*b + 17, j - 6 = 3*b. Let d be (-8)\/(-2) - 0 - 2. What is the third biggest value in q, d, j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3290012663 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence go when two letters picked without replacement from {o: 1, g: 2, k: 2, i: 5, x: 8}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 4*a**2 + 10*a - a - 115 - 2*a**2 + 134 + 5*a. Determine t(-9).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5658235827?\nAnswer: 3, 67, 1217, 23131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 21\/5 of a tonne?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 773.0138l to millilitres.\nAnswer: 773013.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fk when two letters picked without replacement from {i: 4, e: 2, f: 2, k: 5}.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-12)*16\/(-4). Solve 2*s + 7 = -f for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 41524.8g?\nAnswer: 41524800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 574 a factor of 18996?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53, -64, -61, -38, 11, 92?\nAnswer: 211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -20873730+506674\nAnswer: -20367056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6888204 + -6888405.00596. Let n = o - -201. What is n rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 5*i**2 + 4*i + 5. Let c be s(-4). Suppose 0 = c*b + 15. Let z(u) = 2*u - 3. Let w(q) = -1 - 4 + 3*q + 3*q - 3*q. Determine b*w(l) + 5*z(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a day in minutes?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 244 divide 1357294164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*a + 7 = 0, -3*i + 3*a + 56 = 2*i. Let l(u) = -8 + i + 2*u - 5. Let p(s) = -3*s**2 + 60*s. Determine p(l(n)).\nAnswer: -12*n**2 + 120*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1052493138 and -0.1.\nAnswer: -1052493138.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*v**3 + 3*v**3 - 14*v**3.\nAnswer: -22*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 407273 is divided by 81215?\nAnswer: 1198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 727\/66 - 65\/6. Let o = -7 - -8. Let l be -3 + 4*o\/4. Put l, 0.5, m in increasing order.\nAnswer: l, m, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7176 and 476248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (120\/72)\/(35\/(-189))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -14 times -1\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 39304.1 nanograms in grams?\nAnswer: 0.0000393041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*3\/(-6)*3. Suppose 5*x = 3*o + 2, -3*o = -x + t*x - 26. Suppose -m - m + o = 0. Solve w - 1 = m for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -81785 divided by -1397\nAnswer: 7435\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, z: 3, q: 1, t: 1, s: 1}. What is prob of picking 2 z?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 21 - 271*z**3 - 1 + 246*z**3 + 33 - 10.\nAnswer: -25*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = v + v - 4*m, 9 = -3*m. Let b(a) = 4*a - 24. Let i be b(v). Let d = 35 - i. Solve -5*c - 5*z + 20 = -d, -3*z = -2*c + 4 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -10. Let y = i + 5. Let w = y - -1.000012. Round w to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 8:03 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 8166 = -10*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 68 + 16. Let w = 40 + j. Let y be 6\/27 + (-187)\/(-9). Calculate the greatest common factor of y and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r - 3. Let v be h(-2). Let p(f) = 3*f**3 - 2*f - 1. Let t(g) = 0*g + 3*g - 2*g + 4 - 3. Determine v*p(q) + 3*t(q).\nAnswer: 3*q**3 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of 0*v - 6 - 1\/3*v**3 + 0*v**2 + 0*v**5 + 5\/3*v**6 + 0*v**4. What is the third derivative of b(p) wrt p?\nAnswer: 600*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 u when two letters picked without replacement from zjvtvuj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 208104683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 220058*y**2 - 670*y - 76.\nAnswer: 440116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of n**6\/120 - n**5\/6 + 5*n**4\/12 + 7*n**3\/6 + 112*n**2. Let s be u(9). Solve -o + 5*o + s = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4802 divided by 14758?\nAnswer: 2401\/7379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50818, 101628, 152444, 203272, 254118?\nAnswer: 304988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -232, -459, -686, -913, -1140, -1367?\nAnswer: -1594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1780, -1896, -2078, -2320, -2616, -2960?\n\"Answer: a**3 - 39*a**2 - 6*a - 1736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 85 (base 9) in base 5?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5.8 and -0.011?\nAnswer: 5.811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -2 - (8 + -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6387*u + 6397*u + 6387*u + 6357*u + 6396*u + 6388*u - 38292*u.\nAnswer: 20*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3171884?\nAnswer: 2, 23, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i**4 + 7*i**4 - i**4 + (5*i - 3*i - 3*i)*(-3*i**3 + 3*i**3 - i**3).\nAnswer: 3*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33\/297)\/(3\/(-2)).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + 5*m + 4. Let g be a(6). Let k be ((-15)\/9)\/(g\/6). Suppose 2*w - k = 15. Round w to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-7) + (-1287)\/(-63). Calculate the highest common factor of x and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 82*v + 26*v**2 + 26*v**2 - 3*v**2 + 12 + 74*v + 26*v**2.\nAnswer: 3*(v + 2)*(25*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1188\/11220)\/((-243)\/54)?\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 11:31 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-24)\/4*(1 + 6\/(-4)). Suppose 2*b = 2*d, 2*b + 3 = j*b. Suppose 0 = -5*u + 20, -v - d*u - u + 151 = 0. What is the remainder when v is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 2*a - 5. What is o(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16 - -16)\/(4\/2). Let z(b) be the first derivative of -3\/2*b**2 + 0*b**3 - 1\/5*b**5 + 0*b + 4 + i*b**4. What is the second derivative of z(a) wrt a?\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 g when three letters picked without replacement from ygygggggggg?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-42)\/(-7) - (-2 - -6). Let q(t) be the second derivative of -t**3\/6 + 3*t**2\/2 - 3*t. What is q(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2767479 a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 102.3161 and -9.7.\nAnswer: 92.6161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 2*a**2 - 9*a + 4. Let j be n(4). Suppose -5*m + 217 + 1123 = j. Let h = 526 - m. Does 43 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 347244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + c - 6*c + 35 = 0, -3*q - 3*c = -30. Suppose -488*r**q - r**2 - r**3 + 485*r**5 + 7*r**4 - 2*r**4 = 0. Calculate r.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 4*q + 121 = q, 0 = -2*t - 4*q + 62. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/52 and 35\/76.\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5066 is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 8:41 AM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1452 greater than 1450?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 853, 2186, 3949, 6106, 8621, 11458?\nAnswer: 14581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/(-24) - 2\/5. Let v(s) be the third derivative of 0*s**4 + 1\/30*s**5 + s**2 + 0 + 0*s**3 + 0*s - b*s**6. Find the third derivative of v(r) wrt r.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.5 - 0.5. Let q = 0.07 - 3.07. Let w = v - q. Which is the biggest value? (a) w (b) -1 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 AM and 7:51 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 412 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + b + 21 = 0, 2*a = -72637*b + 72636*b - 9 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f - 6. Let i be g(-5). Solve -5 = -o - i for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2*l + 6 = 0, 2*g - 3*l + 6*l - 1 = 0. Suppose 10*t + 4*s + 8 = 0, -230*t + 5*s = -234*t - 27. Solve 0 = -g*o + t for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 933 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -71, -152, -265, -410?\nAnswer: -587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - (-11 + 21 - 10)) + -1.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 156 divided by 523325.\nAnswer: 156\/523325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lipp when four letters picked without replacement from {i: 2, x: 1, l: 1, f: 2, z: 1, p: 2}?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 3*a + 259, -6*y + 2*a = -5*y - 140. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11f88e3 (base 16) to base 3.\nAnswer: -1022110100221022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, -0.036, -1 in ascending order.\nAnswer: -1, -0.036, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 11*v**2 + 8*v + 27. Give c(-12).\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*6\/54*-21?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.74348 millilitres in litres?\nAnswer: 0.03574348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 446 + 89. Let v = i - -126. Differentiate -17 - v*y**3 - 3 + 12*y**3 with respect to y.\nAnswer: 15*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/(-14))\/(6\/28). Suppose 2*y = 5*y + 9. Let h = b + y. What is the highest common divisor of 11 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5\/((-10)\/(-4)))\/((-11)\/(-198)). Suppose t = -10*g - 2*g. Let s be (4\/(-3))\/((-4)\/(-12)). Put 0, g, 5, s in decreasing order.\nAnswer: 5, 0, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1811 (base 12) in base 11?\nAnswer: -21a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -14*u**4 + 5440*u**3 - 3710064*u**2\/7 + 2110720*u\/7 - 301088\/7 = 0.\nAnswer: 2\/7, 194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1693*y + 3153*y + 322869 + 103579 for y.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iqpq when four letters picked without replacement from pyiqqpppp?\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2475 a factor of 406536075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*x + 63*x + 2318 = -27*x for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 801 and 399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 19. What is the remainder when b is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3\/7 (b) -6 (c) -2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from wwll?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*f + 897 = -495. Calculate the highest common factor of 120 and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**4\/5 - 3*d**3\/5 + d**2\/5 + 3*d\/5 - 2\/5 = 0 for d.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 75 = -6*v + v, 0 = 2*x. Suppose -3*j - 2*j + v = 0. Solve j*l - 10 = 5*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.173 minus -278943995084?\nAnswer: 278943995084.173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + 11. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-13)*d)**41\/(((d\/((d*d**(-6)*d)\/d))\/d)\/d**(-29)) assuming d is positive.\nAnswer: d**(-526)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of 2*u**3\/3 - 6*u - 23. Let a be w(-2). What is the greatest common factor of a and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 4*p = 2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/3)\/(5\/((-15)\/2)). Let r(m) = -3*m**2 - 50*m - 123. Let o(s) = 5*s**2 + 100*s + 245. Let d(q) = z*o(q) - 5*r(q). Suppose d(b) = 0. Calculate b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2071, -4394, -6955, -9754, -12791, -16066?\nAnswer: -19579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 97538 and 139340.\nAnswer: 975380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 19*d**3 - 2*d**2 + 2*d. Let v be s(1). Let b = 32 - v. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11 and -41590?\nAnswer: -457490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6069 + 5756 = 117*t + 16271 for t.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 26000, 26009, 26030, 26069, 26132, 26225, 26354?\n\"Answer: a**3 + 2*a + 25997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(7\/3))\/f)\/(f\/(f*f**(2\/31)))*(((f\/(((f*f\/(f*f**2*f))\/f*f)\/f))\/f*f*f)\/f)**(5\/7))**12 assuming f is positive.\nAnswer: f**(1532\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -711*o**3 - 72575*o**3 - 31779*o**3 - 66178*o**3.\nAnswer: -171243*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -17*v**6\/60 + 11*v**5\/30 + 22*v**2. Find the third derivative of q(d) wrt d.\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -125 and 25.\nAnswer: -3125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 195673 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4*55\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g - 4. Let i(b) = -3*b - 11. Let y(d) = 4*i(d) - 11*u(d). Let p(o) = -4 + 0*o + 5 - o. Determine -p(a) - 2*y(a).\nAnswer: 3*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -46*f**2 + 89*f**2 + 3*f + 3 - 44*f**2 in the form a + n*f**2 + w*f and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -130.81 * 0.094\nAnswer: -12.29614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 2*m - 8 = 0, -m - 14182 + 14190 = 5*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w**2\/9 + 149872*w\/9 - 149876\/9 = 0. What is w?\nAnswer: -37469, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -4*c + 5. Give k(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*l - 11*l + l + 46 + 38*l - 10*l in the form h + q*l and give h.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, d: 2, v: 4}. Give prob of picking 1 d and 2 v.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -123\nAnswer: 1\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.243 rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*c**5 + 365*c**4 - 2270*c**3 + 5585*c**2 - 5180*c + 980 = 0. What is c?\nAnswer: 1\/4, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 52, -5 in descending order.\nAnswer: 52, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 548, 509, 430, 299, 104?\nAnswer: -167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/14))**(-4\/27)*(((h\/(h\/(h\/(h**19\/h))))\/h*h)\/h)\/(h*h*h**(-2\/11)*h))**(-46) assuming h is positive.\nAnswer: h**(1989914\/2079)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 1 - (85 + -78)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3880 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (60\/(-18))\/(1\/(-6)). Suppose 5*d = -5*f + l, -2*f - 4*d - 8 = -24. Suppose -5*b - 22 = z + 2*z, f = -3*b - 2*z - 13. Let q(a) = -a. Give q(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.4, 0.4, -4 in decreasing order.\nAnswer: 5, 0.4, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -385147, -770413, -1155693, -1540987, -1926295?\nAnswer: -2311617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1773683 = -364*q - 1772227 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + -10. Let k(l) = -l**2 - 3*l + 4. Let f be k(-4). Let t be (f*3\/q)\/(-2). Solve t = -2*o - 4 - 2 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 12*c + 15. What is f(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 54949 - 32949. What is b rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6800 less than 6783?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*s - 24\/5*s**2 + 0 + 112\/5*s**3 - 10*s**5 - 22*s**4.\nAnswer: -2*s**2*(s + 3)*(5*s - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316 is divided by 95?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001017760479 rounded to 6 decimal places?\nAnswer: 0.001018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 985, -12, -4, 3, -22, 0, -1 in ascending order.\nAnswer: -22, -12, -4, -1, 0, 3, 985","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1092 divided by 273?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 + q**3 - 2*q**3 - 2*q**4 + 17 + 3*q to the form b*q**2 + w*q**4 + h*q + s + u*q**3 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -681450*i + 310 = -681388*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k - 39. Determine o(-26).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-18)\/30*-1 - 1095\/(-1300) and -131\/30?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60416.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(1\/4)*y*(y*y*y**14)\/y assuming y is positive.\nAnswer: y**(69\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*l + 1638 = 58. Let t = -1 - -6. Suppose p + 1 = t. Calculate the greatest common factor of p and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/9 - (-62)\/6. Let b = k + -5. What is the first derivative of 1 - 3*o**4 - b + 2 + 5*o**4 wrt o?\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (26\/(-91))\/(12\/(-35))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1851406, 1851283, 1851160, 1851037, 1850914, 1850791?\n\"Answer: -123*q + 1851529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y - 37 = -237. What is the third derivative of 53 - a**2 - 20*a**5 - 66*a**6 + 67*a**6 + y*a**5 + a**3 wrt a?\nAnswer: 120*a**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 4*p**2 + 59*p - 41. What is the tens digit of c(-21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*0.209369\nAnswer: -0.0628107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + 3*sqrt(833))**2.\nAnswer: -29992 - 168*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 350102.1 kilometers in centimeters?\nAnswer: 35010210000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1042221553 (base 6) to base 5.\nAnswer: 10343344300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b - -a?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -48*b**3 + 7*b**2 - 6*b - 101. Let l(y) = 16*y**3 - 2*y**2 + 2*y + 35. Calculate 7*l(d) + 2*t(d).\nAnswer: 16*d**3 + 2*d + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 234 and 102.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a. Let p(v) = -v - 1. Give 6*m(c) + p(c).\nAnswer: 5*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 1 - 1 + 26*y**2.\nAnswer: 26*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -348, 3, -1\/1317 in descending order.\nAnswer: 3, -1\/1317, -348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/42)\/(7\/(-63)) + -4.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 15 (b) -2 (c) 7\/4 (d) 4 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t - 4. Let p be k(-10). Suppose p*h - 12*h = 208. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w + 4*c - 12, -6 = 168*w - 166*w + c for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3756*r**2 + 25833*r - 14060*r - 13789*r wrt r.\nAnswer: -7512","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35 - 21. Let t = 17 - g. Let i = -158 + 162. Which is the nearest to t? (a) -2\/7 (b) 0 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 78, 18, -11, 5 in decreasing order.\nAnswer: 78, 18, 5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193050.\nAnswer: 2, 3, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 56741693 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 - 8917060*s + 9939244880450.\nAnswer: 2*(s - 2229265)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -12 (b) -10 (c) -0.2 (d) 23\/4 (e) -1 (f) -2\/19\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 384446 - 1738893. Let o = y + -3360553. What is o rounded to the nearest 100000?\nAnswer: -4700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 12*y**2 - 32*y + 2. Let q be l(8). Solve -2*j - 4 = -4*d, 14*j = 18*j - q*d + 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i - 3 + 3 - 28*i - 14*i - 2*i + 5*i + 0*i - 4*i + (2 - 3 - 1)*(-2*i + 3 - 3) + 6*i - 4*i - 4*i + i + i + 0*i + 0*i + 0*i - i.\nAnswer: -42*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -5*z + 135*k - 131*k, 0 = z - 2*k + 3. Let o(w) = -44*w + 2. Calculate o(z).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4904402.\nAnswer: 2, 547, 4483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -52 - -46. Let t be (13 + -4)\/(i\/4). What is the tens digit of (-2)\/t + 2\/(6\/245)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178679773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 55 + 3. Let d = -16 - q. Let x(m) = -m**3 + 12*m**2 + 15*m - 7. Is x(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 5*c - 19, 2*h = -4*c + 4*h + 10. Determine g so that 10*g**2 - 16*g**4 + 32\/3*g**5 + 0 - 4\/3*g - 46\/3*g**c = 0.\nAnswer: -1, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 2\/3*o**2 - 2\/3*o - 2\/3*o**4 + 2\/3*o**3 = 0. Calculate o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/7 - 68692*i\/7 - 589823858\/7.\nAnswer: -2*(i + 17173)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -4*w + 4. Let y(c) be the second derivative of -c**3\/2 + 2*c**2 + 22*c. Determine -4*i(b) + 6*y(b).\nAnswer: -2*b + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.1, -84\/13, -1\/7.\nAnswer: -84\/13, -1.1, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 39027.48 centuries?\nAnswer: 3902748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 11) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 7:09 PM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 546*j - 23258 + 11792 = 0 for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000983349 to seven decimal places.\nAnswer: 0.0000983","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 63 - 42. Put m, 5, -3 in ascending order.\nAnswer: -3, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 56538220?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -25085, -49876, -74655, -99416, -124153, -148860, -173531, -198160?\n\"Answer: a**3 - 24798*a - 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-5 - (-342)\/68). Differentiate -79*d + 21 + 14 + i*d wrt d.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4291414?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, -5, -1154, -4, -3, 5, -6 in descending order.\nAnswer: 5, -3, -4, -5, -6, -32, -1154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84 and 3618?\nAnswer: 50652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2222 - -2235. Let f be -18*(-2)\/(-6)*2. Let y = b - f. What is the remainder when 98 is divided by y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -29972?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 + -22. Suppose d*n + g = -202, 0 = -4*n - 0*n - 2*g - 270. Let t = n + 60. Let f(x) = x**3 + 8*x**2 + 7*x + 1. Determine f(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-5)\/3 - -2)*18. Let q be ((-28)\/42)\/((-2)\/c). Solve -2*t = q*t - 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18182268 and 520.\nAnswer: 181822680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8118)\/(-4510))\/(6\/20)*1\/(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 21 = -0*h + 5*p, -2*h - 4*p = -20. Suppose h*l - 3*l - 220 = 0. List the prime factors of l.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 0*s + 15 = s, 5*m + 16*s = 36*s for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 2, -2, 3588, -4, -3 in increasing order.\nAnswer: -4, -3, -2, 2, 31, 3588","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 14 = 3*p - 2*x, 5*x - 41 = -2*p. Let y = p + -6. Let t = 2 - y. Solve t = -c + 2*c - 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 708\/18 + 4\/6. Let k be u\/60*(-3)\/2. Let w = 0.11 - -4.89. Which is the third biggest value? (a) k (b) w (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*i = 0. Suppose -2*r + 2 = i, -4*r + 10 + 4 = 5*k. Suppose k*c - 7*c = -40. Is 4 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (0 + sqrt(75))**2)*6.\nAnswer: -450 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70\/40 - (2 - 0).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 110224, 440904, 992038, 1763626, 2755668, 3968164?\n\"Answer: 110227*o**2 - o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - 1984\/280 - 2\/(-7).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - ((5 - 2) + (2 - -5) + -5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of c**6\/24 - 13*c**3\/6 + 7*c**2. Differentiate a(n) wrt n.\nAnswer: 15*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 647*n + 10 = -2*t + 641*n, 5*n - 15 = -9*t + 9*t for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-51)*(6\/9)\/(12\/(-6))?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 350 = 3*n - 1582. Let w = n - 649. Let j(a) = -a**3 - 3*a**2 - 2*a - 3. Calculate j(w).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -274888 divided by -1854\nAnswer: 137444\/927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 863*q - 3647. Calculate f(4).\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + 7 + -30 + 8 + 6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 43.38862 millilitres?\nAnswer: 0.04338862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -938030 + 5054. Let h = -595496 + w. What is h rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 11582, 8, -2, 1.\nAnswer: -2, -1, 1, 8, 11582","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 3*l - 10 + 209, f - 80 = -5*l. Suppose -f = 4*i - 455. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a centimeter in micrometers?\nAnswer: 67500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/7 (b) -1\/10 (c) 4.2 (d) -0.3 (e) -0.065 (f) -3.8 (g) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 26053\/28 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35360, 38519, 41678, 44837, 47996?\nAnswer: 51155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from tktikntitttkttttiki?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 965.488 and -4.\nAnswer: -3861.952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 3:24 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*((-6 - 2) + 68 + -63)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 106\/17, 17\/5, -0.4, -1\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 2, b: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000208107966 to seven decimal places.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2173 and 113261.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1812)\/14496*2*-72?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-4)\/(-12))\/((-6)\/(-9))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87, 68, 223, 378, 533?\nAnswer: 688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**3 + v**2 - 4*v. Let u be (-9 + -3)\/(-2) - 3. Let a be g(u). Suppose -19 = 4*x - a. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -4*n - 4, 52*n - 45*n + 89 = 2*n + 8*w for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k + 2 - 3*k - 102*k.\nAnswer: -102*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 199\/2 - 99. What is the closest to -1\/2 in -2, l, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -2*u**2\/9 + 3573614*u\/9 - 397068 = 0.\nAnswer: 1, 1786806","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 12:08 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -154 in -1\/41, -3, -13, -1?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/((-336)\/(-30))*(-18)\/30?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3049, 4, 5, -37, 0, 1 in increasing order.\nAnswer: -37, -3, 0, 1, 4, 5, 3049","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3361 = -3*c, 0 = h + 2*c - 0*c - 832. List the prime factors of h.\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/31 - -2953\/124. Let p = -264195 - -25097901\/95. Let x = -64\/19 - p. Find the common denominator of o and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 4*f. Let r(b) = 11*b**2 + 2993*b - 3. What is o(r(c))?\nAnswer: 44*c**2 + 11972*c - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -103 + 107. Solve 0 = -0*q - 4*q + 5*k - 22, 0 = -2*q - 5*k + d for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -15*a**2 + 31*a + 4. Let i be v(2). Suppose 2 + 4 = 2*g. Suppose g*m + 4 = 4*w - m, 1 = -2*w + 5*m. Solve 2*l = -3*n + i, 2*n + w*n - 13 = -l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-56)\/224 + (-4 - 14\/(-4)). Which is the nearest to h? (a) 3 (b) -4 (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 less than or equal to -338\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -8.8. Which is the third biggest value? (a) 0.04 (b) 2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 - 48863.\nAnswer: -48862.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7482181*b**3*i**3*k**3 + 4*b**2*i**3*k + 3*b**2*i**2*k**3 - 9*b**2*i**2*k**2 + b*k**2 + 91*i**3 + 9*k**3 wrt b?\nAnswer: -44893086*i**3*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of 8*s**7\/105 + 29*s**6\/30 - 157*s**5\/15 + 91*s**4\/6 + 22*s**3 - 8264*s**2. Solve b(m) = 0.\nAnswer: -11, -1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.04, -6, -21, -1.5, 1.\nAnswer: -21, -6, -1.5, 0.04, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 bigger than -40864?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(4\/33)\/(z**(2\/61)\/z) assuming z is positive.\nAnswer: z**(2191\/2013)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -333*l - 47600. Calculate c(-143).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6 - 14)*(-11)\/2. Suppose 5*r - t = -14. Find the third derivative of -a**2 + 12*a**2 + 25 - 25 + 8*a**r wrt a.\nAnswer: 960*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36\/48*27\/((-31671)\/68)\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 7*j**3 + 7*j**2 - 7*j - 7. Let n(t) = t**2 + 28*t - 7. Let l be n(-28). Let y(s) = 4*s**3 + 3*s**2 - 3*s - 3. What is l*y(b) + 3*g(b)?\nAnswer: -7*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -7437, 2, -5, 5, 53, -3 in descending order.\nAnswer: 53, 5, 2, -3, -5, -7437","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4*-7899976\nAnswer: -31599904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.9 * 0.01.\nAnswer: 0.039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.3 (b) -8 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*d**2 + 1004 - 9*d - 1004.\nAnswer: -57*d**2 - 9*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 337719 plus 2764215?\nAnswer: 3101934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 85924*z + 29639.\nAnswer: 85924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23.3 - -8.45. Let a = -30 + o. Let h = a - 1.7500387. What is h rounded to six decimal places?\nAnswer: -0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + (11 - 9) + -54.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 14\/3, 5\/3 in descending order.\nAnswer: 14\/3, 5\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 - 1988*a**2 - 245534*a + 247520.\nAnswer: 2*(a - 1105)*(a - 1)*(a + 112)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (111\/21 - (-2)\/(-7))*(3895442\/835)\/(-218)?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l - 4. Let n be x(-4). Let s be -1 - (-8 + 5) - -1*23. Solve n = -0*q + 5*q - s for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74706 to the power of 1\/2, to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 8*v**2 + 2*v + 9. Let n be t(9). Let x = n - -98. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 6:57 AM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3424 is divided by 1046.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2887 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3900) - -1*sqrt(3900) - sqrt(3900) - 1*sqrt(2496))\/(2*((sqrt(108) - (sqrt(108) + sqrt(108)*1)*-3) + sqrt(108))).\nAnswer: sqrt(13)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**1\/m*m**(-3\/4) assuming m is positive.\nAnswer: m**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 14*o**2 + 46*o + 16. Calculate s(-11).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 14*b**2 - 5171*b - 3402. Calculate r(370).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12\/7 - -10\/7. Let z = -331 + 598. Let r = 268 - z. What is the nearest to c in -1, 0.5, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -30*y - 483. Calculate d(-37).\nAnswer: 627","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-9)\/s*s*s)\/s**(3\/4))**39*((s**1)**(8\/7))**(-14) assuming s is positive.\nAnswer: s**(-1429\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 8*t**2 + 10*t + 20. Let l be k(-7). Is 34 a factor of (-6 + l)\/(76\/(-7828))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, r: 2, l: 1}. What is prob of picking 1 r and 1 b?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 6 = 0, 4*c + 1622 = 2*l + 1636 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -524 or -526?\nAnswer: -526","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 45552, -0.4.\nAnswer: -0.4, 1, 3, 45552","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b + 1. Let l(m) = -5*m - 7 + 0*m + m. Let p be (-2)\/(-8) - 3\/(-4). Let x = -20 - -26. What is p*l(g) + x*f(g)?\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-6\/11)*o\/(o*o\/(((o**(-2\/13)*o)\/o)\/o)*o)*o)\/(o**(-1\/7)*o*(o\/(o*o**(-1\/11)\/o*o)*o)\/o) assuming o is positive.\nAnswer: o**(-3651\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 96 = -4*n, 2*n - 90 = -2*o - 0*o. What are the prime factors of o?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) - (sqrt(2448)*-2 + sqrt(2448) + 4))**2 - 2*(sqrt(153) + -1).\nAnswer: -198*sqrt(17) + 9810","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 54, 6, -2, -25, -3, 0 in descending order.\nAnswer: 54, 6, 0, -2, -3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7372676 - 9326435819\/1265. Let s = -1\/115 + p. Which is smaller: 3 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 12*o = 15*o - 30, 2*j = 5*o - 19. Solve -j = 2*t + 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(294)*-5)\/(((sqrt(3) - (sqrt(3) - sqrt(3)*1)) + sqrt(3))*1 - sqrt(3)*-1*4).\nAnswer: -35*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -13*s**2 + 171*s - 180. What is the smallest common multiple of u(9) and 644?\nAnswer: 98532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11100022002 (base 3) in base 14?\nAnswer: -2323d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 3*s)*(-2 + 3 - 3)*(-1 - 3 + 6) + 19*s - 8*s + 8*s.\nAnswer: 31*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -3*l - 8. Let r be p(-2). What is the common denominator of r*2\/22 - (-7)\/14 and 69\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19800000 = -6*t + 3*t. What is t rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-10))**(8\/3)*(x\/(x*x\/(x\/x**(-4))))**(-2\/19) assuming x is positive.\nAnswer: x**(-1544\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 144260 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lli when three letters picked without replacement from iilillilliiiiiiiii.\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**3 - 9*r + 2*r**4 - 15*r + 7*r**2 - 8*r - 18*r + 4 + 49*r to b*r**3 + h + u*r + s*r**4 + q*r**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -2*k + 22, -2*m - 25*k = -28*k + 7 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 0 + 4. Suppose 2*z = -5*d + 28, 72 + 0 = 4*z + g*d. Suppose 54 = -2*i + 92. What is the greatest common factor of i and z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3*p = -189549, 4*p - 53 = -49. Is 11 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u - 6*z + 4*z + 26, -5 = 5*u + 3*z for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*h - 834 = -549. Calculate the greatest common factor of h and 3117.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - o - 105, -2*o = 2*o. Let w = 41769\/11 + -3794. Find the common denominator of w and (-158)\/(-12) - 21\/t.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42 and 81077934.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1046 and -14.48.\nAnswer: 15146.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -9*u + 30. What are the prime factors of b(-6)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1449\/9*4\/14*1. Find the second derivative of -37*a**2 - 8 - 48*a - u*a + 164*a**2 + 98*a wrt a.\nAnswer: 254","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1693 divided by 4221\nAnswer: 1693\/4221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.6, -2\/11, -1.2, 2.\nAnswer: -2.6, -1.2, -2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 22738019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -68, -3 in descending order.\nAnswer: 4, 3, -3, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*b - 41*b = -8. Let g(q) = 6*q**3 - 4*q**2 + q - 2. Suppose -73*k - 140 = -101*k. Let y(p) = -13*p**3 + 9*p**2 - 2*p + 5. Calculate b*y(t) + k*g(t).\nAnswer: 4*t**3 - 2*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1861 by -148.\nAnswer: 1861\/148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33967728 and 6588.\nAnswer: 33967728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.3 and 1547.\nAnswer: 3558.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 331.6 - 332. Which is the nearest to -0.1? (a) -3 (b) n (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001 (base 2) to base 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1150854559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20171 + -20174. Let p = 159 - 160.23. Which is the second biggest value? (a) 3\/2 (b) p (c) 1 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 152.5 * 36061.\nAnswer: 5499302.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 3. Let o(v) = -13*v**3 + 9*v + 7. Let g(m) = 2*m - 10. Let p be g(6). Let i(y) = -6*y**3 + p*y + 0 + 2*y + 3. Give r*o(t) - 9*i(t).\nAnswer: 2*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 949?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 6. Suppose 2*n + 1 = -2*n + q, 3*q - 13 = 2*n. Suppose 0 = b - n. Let y be (0\/(b + -5))\/(-4). Calculate o(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*m = -795 - 417 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2347348 - 0\nAnswer: -2347348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 405150 a multiple of 365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + -0.143.\nAnswer: 4.857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2059 is divided by 383.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/1*45\/18. Let o = 10 - r. Which is greater: o or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -p - 2*y, -p - 3*y + 4 = 3*p. Suppose -5*j + 15 = 0, l - 21 = 4*l + 3*j. Let a = -6 - l. Solve 0*b + a = p*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 4 - (1 + 0 + -2). Let k be (g\/(-3))\/(12\/(-9)) - -3350. Suppose -3*l + k = -2046. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/165, 0.1, 0, 77 in descending order.\nAnswer: 77, 0.1, 2\/165, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15.604 + 0.104. Round t to zero decimal places.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -610 bigger than -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*(-10)\/(-6) + -80. Let o = u + 86. Let l = -6 + 15. What is the greatest common divisor of o and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 11*x + 49. Let l be h(14). Let o(f) = 6*f**3. Let m(q) be the second derivative of q**5\/4 + 3*q. What is l*m(s) - 6*o(s)?\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of 0 + 4*y**2 + 0*y + 1\/6*y**3 + 1\/30*y**5 - 1\/24*y**4. Is d(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 303*r**2 + 5665*r - 1411. Calculate u(283).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fiiifififf. Give prob of sequence ffi.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -19*y**2 + 1391*y - 376. Determine a(73).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of -h**8\/210 - h**7\/84 - h**6\/180 + h**3\/2 + 2*h**2. Let n(s) be the first derivative of w(s). Find f, given that n(f) = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 86*q**2. Let j(c) = -16*c**2. Give r(j(y)).\nAnswer: 22016*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l + 6. Let k be j(7). Let r be (k + -1)\/(3\/(-6)). What is the first derivative of r*w + 0*w + 1 - 2*w wrt w?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 995966 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240 is divided by 68.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 15*y**2 - 169*y + 12. What is d(12)?\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a**2 - 3*a - 688. What is the units digit of h(-46)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -17, -25?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-471)\/4)\/(81\/(-432)).\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 2*u**2\/15 + 808*u\/15 - 5358\/5 = 0.\nAnswer: -423, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -25641*m + 11487196. Calculate f(448).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14097*j**2 - 3*j**3 + j**3 - 14096*j**2 to the form t*j + w*j**3 + u + i*j**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*m - 325 = 4*m + 50*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -157?\nAnswer: -62.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 2*c - 10, 8*r = 3*r + 5*c. Solve -r*p + 12 = 3*q, -2*q + 20 = 2*p + 3*q for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**2 + 9*v + 5. Let d(j) = -j**3 + 4*j**2 - j + 4. Let n be d(3). Is c(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 7*b - 10. Suppose 0 = -b*k + 11 - 1. Suppose -w = k*w - 18. Solve -w = 4*r + 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000012756165 to seven dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3663384 + -0.2\nAnswer: 3663383.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = t + 8, -3*t + 2 - 8 = 0. Let k(z) = 496*z - 3. Is k(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -585038 + 105.\nAnswer: -584933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express v - 3*v**2 + 2 + 10*v**2 + 3*v**2 - 3*v**2 as h*v**2 + o*v + b and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29835245?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/96 and -13 + (-2353)\/(-182) - (-2140)\/(-8064).\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*j**2 + 483*j**2 - 163*j**2 - 157*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.18 + -4.82. What is the closest to -1 in -4, h, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sfjddss. Give prob of picking 1 j and 2 s.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 bigger than 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(500)*-1 + 5)**2 - (-4 + sqrt(500) + -1 + (sqrt(500) + sqrt(500) + -3*-1*sqrt(500))**2).\nAnswer: -4470 + 390*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005401526 to seven dps.\nAnswer: -0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -60.2 - -0.0582?\nAnswer: -60.1418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 25 + 5 - 14*x**2 + 9*x**2 + 14.\nAnswer: -5*x**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151601?\nAnswer: 19, 79, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + v**2 + 2*v + 74. What is a(0)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1727 is divided by 325.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 1000.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45755839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**2 + 2*p**2 + 12*p**2 + 16*p**2.\nAnswer: 29*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7810681, -15621365, -23432051, -31242739, -39053429, -46864121?\n\"Answer: -k**2 - 7810681*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9589886 to the power of 1\/2, to the nearest integer?\nAnswer: 3097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 50, -1, -2, 0.19, -362\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/(s**4\/s)*s*s*s*s**0\/s*s*s*(s**(-2)\/s*s)\/s*s\/(s*s*s\/(s\/(s*s**3*s*s))*s) assuming s is positive.\nAnswer: s**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jwwjowwwwwowgwwj. Give prob of sequence jo.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28585*o = 5*j + 28589*o + 11, -6 = -2*j + o for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 66\/(-1155)*(-11)\/(6\/(-15)*1\/(-2))?\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -31 and 1.91.\nAnswer: -59.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*q**4 + 3*q**4 + 3*q**4 + (2 - 3 - 1)*(-q**4 + 0*q**4 + 2*q**4) - 4*q**4 + 3 - 3.\nAnswer: -5*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -26*i**3 + 29*i**2 - 9*i - 2. Let t(o) = -30*o**3 + 32*o**2 - 10*o - 2. Determine 10*s(r) - 9*t(r).\nAnswer: 10*r**3 + 2*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/28 + 2\/(42\/(-3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -1606?\nAnswer: -1604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/144 + -6*41\/(-1200)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 467*q**5 - 12*q + 13 wrt q.\nAnswer: 9340*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = o - 220. Suppose 5*d = -0*f + 2*f - o, -74 = -3*f - d. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - r**2 - 7*r - 7. Let y(p) = p**3 + 4*p + 4. Let s(u) = -4*q(u) - 7*y(u). Let k(i) = 3*i**3 - 3*i**2. Calculate -4*k(a) - 3*s(a).\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 5:34 PM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1100)\/(-90) + (-70)\/(-21)*-3.\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from ojjjfojffojjfoj?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -1238?\nAnswer: -4952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 2. Suppose -n = -9*a + 4*a + 15, 2*a - 28 = -4*n. Let t = 13 + -9. Let m(v) = -2 + t - 1. What is a*m(u) + 2*y(u)?\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**4 + 2*l**3 + 2*l. Let o(j) = -22*j**4 + 12*j**3 + 3*j**2 - 38*j. Let n(y) = 6*m(y) - o(y). Find the third derivative of n(c) wrt c.\nAnswer: 384*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/1701336 and -33\/3952.\nAnswer: 3402672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10100011001100010100011 (base 2) to base 12\nAnswer: 195a743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of t**7\/147 - t**6\/30 + 2*t**5\/35 - t**4\/42 - t**3\/21 - 8*t**2. Solve v(o) = 0 for o.\nAnswer: -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - ((3 - 1) + 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -2*g**6\/5 + 3*g**5\/2 + 235*g**3\/2 - 197*g. Find the second derivative of c(y) wrt y.\nAnswer: -144*y**2 + 180*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 8746419\nAnswer: 5\/8746419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 6 = 1. Suppose -3*v + 4 = l. Suppose 0 = j + 4*z + 14, 5*j + 3*z + 2 = 0. Which is smaller: v or j?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34019, 136111, 306273, 544511, 850831, 1225239?\nAnswer: 1667741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 2*p - 28, 2*n - 2*p - 2*p = -24. Which is the second smallest value? (a) 3 (b) n (c) 0.4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 222?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (0 + 8 - 7) - 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express u**2 + 4*u**2 - 2*u**2 - 4*u**2 - 2*u as c*u**2 + y + x*u and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/250 and 17\/12597466.\nAnswer: 1574683250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43284*u**2 + 6*u - 1111 wrt u?\nAnswer: 86568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 419 = 9*g - 653, 5*g = 130 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5703 - 3081. Suppose -7*y - 5*z + 3461 = -3*y, b = 3*y - 5*z. List the prime factors of y.\nAnswer: 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*v**4 - 2*v**3 + 559*v - 69868 wrt v?\nAnswer: -20*v**3 - 6*v**2 + 559","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 35, 133, 287, 491, 739?\n\"Answer: -q**3 + 34*q**2 + 3*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(9\/(-4) + 2) - (-32)\/(-8)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of d**4\/42 + 86*d**3\/21 + 1849*d**2\/7 - 29*d - 6. Factor j(r).\nAnswer: 2*(r + 43)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-21)\/12 + 2)\/1. Let t = 2 - -3. Let l = -978 + 978.3. Which is the fourth biggest value? (a) 0.04 (b) l (c) r (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -35, -7, -4, 0 in decreasing order.\nAnswer: 0, -2, -4, -7, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/5, 470, 10\/7, -3\/2, 0.15, 0.05?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11144?\nAnswer: 2, 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 3) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 894863373*f - 481407738?\nAnswer: 894863373","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11363632 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-3 + sqrt(80) - sqrt(80))*4)**2 + 0 + (-5*(sqrt(80) + 2) + sqrt(80) + ((sqrt(80) + 4 - sqrt(80))*-5 + sqrt(80) - sqrt(80)))**2.\nAnswer: 960*sqrt(5) + 2436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16636*s + 1 - 16698*s - 1.\nAnswer: -62*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 12:33 AM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 13. Calculate the remainder when (-902)\/(-20) + 12\/(-120) is divided by r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3464937l to millilitres.\nAnswer: 346.4937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77 and 4081.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -62 - -60. Let h = -0.36 - -0.06. Let z = 5.3 + h. Which is the smallest value? (a) p (b) 4\/5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -2*p**5\/25 - p**4\/10 + 2*p**3\/15 + p**2\/5 + 6. Factor q(y).\nAnswer: -2*y*(y - 1)*(y + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4*s - 4. Let j be g(-3). Suppose 2*o = -6, 8*k - 5*k - 3*o - 273 = 0. What is the greatest common divisor of k and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100011101110 - 0?\nAnswer: -10100011101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*f + 3*f + 5 - 7)*(-4*f + 2*f + f).\nAnswer: 4*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 44*j**2 + 3560*j + 72003. Give s(-40).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21*g**4 + 30*g**4 + 36*g**4 + ((-2 - 1 + 1)*(-2 + 0 + 1) + 2 + 2 - 5)*(4*g**3 + 0*g**3 - 2*g**3)*(0*g - 3*g + 4*g).\nAnswer: 47*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 8. Which is smaller: g or 1\/110?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1001321132 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1546570136 to the nearest integer?\nAnswer: 1156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*w - 5 = z + 7*w - 0*w, 5*w = -21*z - 797 for z.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -22. Let x = i - -18.8. Let z = 3.2 + x. Sort -5, 1\/12, z.\nAnswer: -5, 1\/12, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 o when two letters picked without replacement from {o: 1, w: 1, k: 1, p: 3, l: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*((-8)\/(-12))\/(1\/(-3)). Suppose 4*s + 4 = u*z - 2, 4*z = 2*s + 6. What is the units digit of 3 + -1 - (0 - (-95)\/s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 greater than -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 9 = -4*q, -5*k + 7 = -0*q + q. Suppose -5*b = q*g + 2*g, 5*g - 21 = -b. Let o be (-1)\/(-3 + (-32)\/(-12)). Sort 0, b, o.\nAnswer: b, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5370.\nAnswer: 2, 3, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105657083 + 3991*g - 105657083.\nAnswer: 3991*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -77.6 - -78. What is the closest to 13\/5 in d, -0.1, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, -90, -2 in increasing order.\nAnswer: -90, -2, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -i**6\/120 - i**5\/6 + i**4\/2 + 13*i**3\/6 + 43*i**2. Give c(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 6*w - 60 = 0. Let r = 15 + w. Solve r = -c, -4*c - 4 = z - 1 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*s**3 - 5*s**2 - 9*s**3 + 2*s**2 + 7*s**3 to the form i*s**3 + y*s**2 + p + v*s and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 59946\/1545*(325\/10)\/13\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from awaza. What is prob of sequence aa?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-35)\/5)\/((-3)\/12). Let m = 2 + u. Is m a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3962?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 4*g = -30, -18 = w - 0*w - 4*g. Let h(v) = -15*v - w + 2 + 18*v. Let c(i) be the third derivative of -i**4\/24 + i**2. Calculate h(c(a)).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a + 12. Let d be f(-5). Suppose -5*c - d*q = -108, -76 = -3*c - 6*q + 2*q. Let y = -8 + c. Is 12 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 131.7 - 34.7. What is the second smallest value in o, 2\/5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39165937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6797*p + 1712*p + 1341*p + (2 - 2 - 2)*(-2*p - p + 6*p) to j*p + r and give j.\nAnswer: 9844","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + 1 - 0)\/(-1). Let c = 4 - 2. Let k be 0 - -2*y\/c. Which is bigger: k or 2\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -1 - (2 - 7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3740 and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-4) + (9 - 72\/16)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 AM and 11:56 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 53\/5 of a litre?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 8:24 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -16. Let s(u) = i + u + 7 - 3*u + u. Let p(l) = -7. Let h(f) = -4*p(f) - 3*s(f). What is h(-6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 13489 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 17463458 less than -18162?\nAnswer: -17481620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-33)\/(-44))\/((-6)\/(-24)). Find h, given that 0 - 1\/2*h**2 - 1\/2*h**5 - 3\/2*h**y + 0*h - 3\/2*h**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -193\/38610 and -23\/13420.\nAnswer: 4710420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 + 2*x**3 + 0*x**3 + 3*x**2 - 3*x**2 as y + q*x + k*x**2 + l*x**3 and give y.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -7768 < -7767?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -4*q - 71. Calculate o(-19).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (133 - (-1 + 3)) + -2. Let d be (44\/6)\/(25*25\/7500). Let c = z - d. Does 41 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2637 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 223554161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/1652 and -71\/47119996?\nAnswer: 47119996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-254 + 109*t + 124 + 132)*(-t + 3*t**4 + t + (-3 - 1 + 3)*(-2*t**4 - 2*t**4 - t**4)).\nAnswer: 872*t**5 + 16*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-136 + 138)*(-6)\/8\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-11)\/(-4) + (-5)\/(2*-10). Suppose d = -k - 2. What is the units digit of -5 - -19 - (-5)\/(k\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19.8 - -83140867.\nAnswer: 83140847.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.02 (b) -62\/67 (c) -6.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -52*g**3 - 2107*g**2 - 3073*g + 305. Calculate j(-39).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u + u + 0*u + (-1 + 0 + 2)*(-2 + u + 2) + (-1 + 0 - 2)*(34*u - u - 15*u) to the form d + m*u and give m.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11089319?\nAnswer: 11089319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 31253537 divided by -19\nAnswer: -1644923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z. Let p(h) = h + 85. Calculate j(p(a)).\nAnswer: a + 85","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-3\/7)*p))**(-1\/65)*(p\/p**(1\/23))\/(p*p\/((p\/(p*p**(-5\/8)*p))\/p*p)) assuming p is positive.\nAnswer: p**(-119307\/83720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w**3 - 42*w**2 - 6*w + 33. Calculate u(-12).\nAnswer: -759","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 less than 37831414540?\nAnswer: 37831414479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/8, 32, 1124?\nAnswer: 1124","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1120026 and 60.\nAnswer: 11200260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -777728 divided by -777728\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k + 4*k + k + (4 - 1 - 2)*(117 - 117 + 6*k).\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 40 = -4*d. What is the remainder when d is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -19*v + 165. Calculate m(-15).\nAnswer: 450","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 688, 93, -1090, -2861?\n\"Answer: -294*y**2 + 287*y + 695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*c - 30 - 24 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 228855?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 10. Suppose 2*q = -0 + 4. Solve -10 = -q*p - 7*f + j*f, -11 = -5*p - 3*f for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -275 + 293 + 14 + (15 - 45)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 18db4 - 0?\nAnswer: 18db4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71733195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 234 or -1.85?\nAnswer: 234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of 3*o**2\/2 + 4*o - 1. Let u be m(5). Suppose -z + u + 33 = 0. What are the prime factors of z?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 712, -0.18, 0.1, -3\/4, 9\/4 in ascending order.\nAnswer: -4, -3\/4, -0.18, 0.1, 9\/4, 712","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124372318*0.02.\nAnswer: 2487446.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -1246 and -1246 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 358771254 to the nearest integer?\nAnswer: 711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 318*p**2 + 42*p + 13370. What is x(-318)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -514142, -1028230, -1542314, -2056394?\nAnswer: -2570470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 26, 25, 24, 23, 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 - (60 - (16 + -1)) - 70?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -570 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, -0.15, -0.1, -1035 in descending order.\nAnswer: 4\/5, -0.1, -0.15, -1035","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 5*u = 2, -2*u - 8 = -0*z - 4*z. Suppose 4*l = -z*j - 47, 2*j + 3*j + 1 = 3*l. Let m = l + 7. Is m smaller than -2\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 - ((-26)\/(-1))\/(-60 - (-59 + -3))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -974560620 divided by -1347940.\nAnswer: 723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5913 - 5908. Factor -3\/7*z**3 + 0 + 0*z - 3\/7*z**2 + 3\/7*z**l + 3\/7*z**4.\nAnswer: 3*z**2*(z - 1)*(z + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6\/28535, 0.2, 2?\nAnswer: -6\/28535","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15140 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 0.4 (c) -6 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.121 and -0.07.\nAnswer: 0.051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 91, 687, 2305, 5455, 10647, 18391, 29197?\n\"Answer: 85*a**3 + a**2 - 2*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 19 = 3*t, -4*q - 2 = 3*t + 5. Suppose 5*s = q*s + 30. What is the least common multiple of s and 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31*k**5*q**2 + 13*k**3*q**2 + 4*k**3 - k**2*q - 200*k - 73*q**2 wrt k?\nAnswer: -1860*k**2*q**2 + 78*q**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -65, -97, -115, -113, -85, -25, 73, 215?\n\"Answer: c**3 + c**2 - 42*c - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 - 7*i + 42. Give m(-12).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151\/3 + 3\/(-9) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s + 156 - 306 + 150 + 3*s + 405*s**2.\nAnswer: 405*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 1 - 77*v**2 - 1. Let d(s) = -35*s - 15. Let u(j) = -82*j - 35. Let p(l) = -7*d(l) + 3*u(l). Calculate p(q(i)).\nAnswer: 77*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of 0 + 0*h + h**2 + 0*h**3 - 1\/24*h**4. Let s(x) = 6*x - 2*x - 5*x. What is i(s(z))?\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 98684100 and 1980.\nAnswer: 1085525100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 71192.3*0.3\nAnswer: 21357.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6953 = 22*t + 1431. Suppose -2*g + 309 = t. Calculate the remainder when g is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 13.547985 months?\nAnswer: 0.0112899875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -3260.85.\nAnswer: 6521.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 89280 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.105 + 0.02. Let w = 39.085 + m. Let r = w + -38.99961. Round r to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*q = -1, -2*q = n + q + 23. Let u(y) = -y**3 - 7*y**2 + 3*y. Let x be u(n). Calculate the greatest common divisor of 120 and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 2*h**2 - 12*h - 3*h**2 + 36 + 2*h**2 = 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**4 - 382*b**5 + 6*b**2 + 5*b + 377*b**5 - 5*b**4 - 4*b**4 + 4*b**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 1)*(5*g**2 - 5*g**2 - 2*g**2) - 2*g**2 + 2*g - 2*g + g**2 + 248802*g + 6856 - 248802*g.\nAnswer: -3*g**2 + 6856","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**2 + 5 - 5)*(-7*l + 0*l - 6*l) + (7*l**2 - 23*l**2 + 6*l**2)*(3*l + l - 3*l).\nAnswer: -62*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/79 at least -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - m + 30. Let t(r) = r + 2. Let y be t(-2). Let o be n(y). Suppose 4*k + b - o = 4*b, 2*b = -4. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of 7*m**2\/2 + m - 356. Suppose -8 + 3 = 5*n. Determine i(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*j**3 - j**3 - 3*j**3 - 382 - 92*j**3 + 382 + (-5*j**2 - j**2 + 4*j**2)*(-j + 2*j + 0*j).\nAnswer: -93*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 62*d**2*u*z + 25*d**2*z**2 + d**2 + 11477*u**4*z**2 - 395*z**2 + 4*z wrt u?\nAnswer: 62*d**2*z + 45908*u**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -215984, -215929, -215874, -215819, -215764, -215709?\nAnswer: -215654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52598428?\nAnswer: 2, 83, 158429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g*g*g\/(g\/(g*g**1*g*g))*g)\/g*g)\/((g\/((g*g**(15\/4))\/g)*g)\/g)*g**(-11)\/g*g*g\/(g*g*g**(-7\/3)))**47 assuming g is positive.\nAnswer: g**(611\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**2 - 438*h\/7 + 124\/7 = 0.\nAnswer: 2\/7, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/21)\/((-18)\/289401). Let f = v - 1515\/2. What is the common denominator of -29 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -612.41 + 554.5. Let k = 58 + a. Round k to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 333 = -7*f + 340 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 434709008?\nAnswer: 2, 27169313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-15))\/((-9)\/27) + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36020 divided by 2?\nAnswer: 18010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 7:24 PM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 3:26 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/12? (a) 0.18 (b) 1.802 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 21*l**2 + 15*l - 325. What is v(-22)?\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 104 = -3*n. What is the least common multiple of (-8)\/((-320)\/305) + (-15)\/(-40) and n?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*x - k = -44*x - 9480, 5*x - 47382 = k. What is the thousands digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + d - 6 = 0, 2*s - 5 = -4*d - 1. Suppose -f - 2 = -4*f + s*o, -5*f + 30 = 2*o. Solve -9*k - 4 = -f*h - 5*k, -3*h = -k - 9 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8.668 - -3.668. Which is the smallest value? (a) -4 (b) p (c) 1\/3 (d) -0.1 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) 4 (b) -3\/4 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -6*w**2 + 109*w + 21. Let o(r) = -2*r**2 + 37*r + 7. Calculate 6*j(a) - 17*o(a).\nAnswer: -2*a**2 + 25*a + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 750517.\nAnswer: 750517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**3\/6 + 57361*n**2\/6 - 1374072*n + 49435488 = 0.\nAnswer: 72, 57217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100) - 6*-2*sqrt(1100) - sqrt(1100)) + sqrt(1100) + -5 + -2*sqrt(1100) + -1 + ((-2 + sqrt(1100))*4 - sqrt(1100) - sqrt(1100)))**2.\nAnswer: -3640*sqrt(11) + 186096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24012062327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 540 is divided by 1\/1*(-238 + 267).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of p**7\/350 + 11*p**6\/100 + 7*p**5\/5 + 5*p**4 - 3*p**2 + 132*p. Find v, given that a(v) = 0.\nAnswer: -10, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105 and 651?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*w - 38*w - 1197. What are the prime factors of (-19)\/w*(-1 + -2)*-89?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -50*r - 3. Let z(d) = -6*d. What is m(z(t))?\nAnswer: 300*t - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -1, -3, -7, -61, -11, -40 in ascending order.\nAnswer: -61, -40, -11, -7, -3, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5609 and 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 109, 69, 15, -59, -159?\nAnswer: -291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11*g*r**2*u - g*r**2 - 93*g*r*u + 5*g - 817*r**2*u + u - 15 wrt g?\nAnswer: -11*r**2*u - r**2 - 93*r*u + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 + 16*f - 3. What is s(16)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**0)**14)**(-1\/15))**(13\/8) assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 6, 0.\nAnswer: -3, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 208 - 46. Does 27 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.16, 2\/11, 1\/6, -3\/2 in descending order.\nAnswer: 2\/11, 1\/6, -0.16, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2*u + 48. Let n(r) = 86*r + 111. Let v(x) = 15*x + 19. Let l(s) = 4*n(s) - 23*v(s). Give l(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -55802?\nAnswer: 55800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of 6*f**6 - 24\/5*f**5 + 3\/2*f**2 - 39\/4*f**4 + 9*f**3 - 3*f + 1. Solve s(n) = 0.\nAnswer: -1, -1\/3, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8 (b) 13 (c) -21 (d) 38\/7 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/72, 4, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -0*j. Let d be -6*(j\/3 - -1). Let s be 5 - (-1)\/(3\/d). Solve 2 = n + s for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10\/13 in 60\/181, 0.3, 3, 0, 20?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1521 (base 6) in base 10?\nAnswer: -409","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a meter in millimeters?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 66 - 42. Calculate the remainder when k is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1489191042?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k - 11. Suppose 75 = -z + 6*z. Let g be s(z). Let a(c) = 5. Let v(w) = -w - 6. Let n(h) = 3*a(h) + 2*v(h). What is n(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z + 10. Let s be i(3). Suppose 4*w = -k - s, -k = -5*k - 5*w + 39. Calculate the lowest common multiple of k and 416.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 - 53*r - 348. Let l be h(-8). Solve 6 = -3*s + l for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of 1\/3*g**3 - 1 - g - 2*g**2. Suppose -13*w + 70 = 5. Calculate d(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27948294, -55896580, -83844866, -111793152?\nAnswer: -139741438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14.5 and -34548.22?\nAnswer: -500949.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11865015*n*v**3 + 39*n + 28*v**2 - 1278*v wrt v.\nAnswer: 71190090*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-3 - (-3 + -1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/260 and -69\/3987256?\nAnswer: 19936280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 16*c**2 + 14*c - 11. What is v(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -0*u - 10. Let z be (-2)\/2*u*-3. Let w(b) = 2*b - 5. What is the units digit of w(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -1687*c**2. Let z(s) = 62708*s**2. Calculate f(z(q)).\nAnswer: -6633778736368*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 less than -2800166.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 59, -1, 0.5, -1\/9, -7.9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 1:45 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44579073 and 478830.\nAnswer: 445790730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3 + 636*u**2 + 632*u.\nAnswer: 4*u*(u + 1)*(u + 158)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 6*t - 16*t + 3 + 0 as g + m*t and give m.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -108, -5 in increasing order.\nAnswer: -108, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000280562 to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -5*f + 5, -15 = -3*d - 2*d + 5*f. Let x = 9 + -5. Suppose 0 = x*q - 39 - 5. What is the lowest common multiple of d and q?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -77 - -73. Let c = -15.93 + 1.73. Let t = c - -14.2. What is the closest to -0.2 in j, 0.1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) 2\/3 (c) 0.581 (d) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12623 and 6066?\nAnswer: 76571118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 333590?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 3*v + 13. Let p be h(7). Let y be (-4)\/4 + 1 - (0 - 2). Suppose 0*w = y*w - 10. What is the second biggest value in -2, w, p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of c**6\/360 - 3*c**5\/40 + c**4\/12 - 3*c. Let g(a) be the third derivative of w(a). Let f be g(6). Solve -2 = m + f for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/12)\/(65\/26)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 89973538*l*m**2 + 5*l*m - 2*l + 425*m + 199 wrt m.\nAnswer: 179947076*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of y**5\/60 - y**2. Let l(c) = c - 2. Let f be l(2). Let d(z) = f*z**2 + 2*z**2 - z**2. Calculate p(d(j)).\nAnswer: j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(396) - sqrt(110)\/(sqrt(10) - (sqrt(640) - sqrt(10))).\nAnswer: -107*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50214, 200852, 451916, 803406, 1255322, 1807664, 2460432?\nAnswer: 3213626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence swk when three letters picked without replacement from ssskvssskskw.\nAnswer: 7\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3196 + -3195.5. Put 2\/13, 57, f, -2\/13 in increasing order.\nAnswer: -2\/13, 2\/13, f, 57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of 3*b**8\/448 - 29*b**7\/140 + 71*b**6\/160 + b**5\/4 - 9*b**4\/8 - 4015*b**2. Determine x so that u(x) = 0.\nAnswer: -2\/3, 0, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49 by 697654.\nAnswer: 49\/697654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -2*v**5\/5 - 112*v**3 + 15*v**2 + 394. Find the second derivative of x(b) wrt b.\nAnswer: -24*b**2 - 672","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3505.2 rounded to the nearest 100?\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8688, 14852, 21016, 27180, 33344, 39508?\nAnswer: 45672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 - 3*m**2 + 3*m**2)*(-3*m**2 + m - m) + (10*m - 10*m - 5*m**2)*(-5 + 5*m + 5)*(4*m - 2*m + m).\nAnswer: -81*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 7*y - 3. Let s be w(7). Which is the closest to 0.2? (a) -0.1 (b) 0.2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -49487836*o**4 + 2*o + 959171 wrt o.\nAnswer: -593854032*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*f**2 - 236*f + 416*f - 2 - 247*f.\nAnswer: -14*f**2 - 67*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -70832*v. Let w(d) = -303*d. What is w(y(j))?\nAnswer: 21462096*j","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is p in -p**4 + 66*p**3 + 67*p**2 = 0?\nAnswer: -1, 0, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7027955 and 165?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(396)\/(-3*sqrt(9)).\nAnswer: -2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 7*f + 15 = 0. Let k be 52\/f*(-9)\/3. Let s = -18 + k. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 3*j. Let a = 6 + -1. Suppose -a*g + 7 = -13. Solve j = -3*u + 5*u - g for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 6:21 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 10*o - 7*o - 0*j - 66, o + 32*j + 79 = 0 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -5 (b) -1 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-44) - (-6)\/(-231)*81291\/1470?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21819320 to the power of 1\/3, to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*r**3 + 371 + 2*r**2 - 121 - 123 - 127 to the form p + a*r + y*r**3 + i*r**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -5*v + 45. Let n(q) = q - 11. Let w(a) = -2*i(a) - 9*n(a). Calculate w(10).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 9*y**2 + 12*y + 4. What is v(-10)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 i when three letters picked without replacement from vmvivminvnvviim?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 3:18 PM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6145 + 13*g + 8931 - 2119 - 15*g + 10705.\nAnswer: -2*g + 23662","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1869*f - 3*f**2 + 7*f**2 - 1927*f - f**5 + (-f + 0 + 0)*(2*f**4 - 3*f + 3*f) + f**5 - f**5 + f**5.\nAnswer: -2*f**5 + 4*f**2 - 58*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/5)\/(3\/(-6)))\/(10802\/(-2455))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - 6*y + 2. Let l be g(6). Suppose 5*a - 5*h - 160 = -0*h, -5*h + 57 = l*a. Calculate the remainder when a is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 84 (base 10) to base 3\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*f + 192 - 907 = -82*f for f.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - a**2 + 3*a - 1. Let p be o(2). Let g = 3 - p. What are the prime factors of (12\/(-5))\/((-3)\/g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 24 = 5*j, 4*j + 18 + 4 = 3*f. Let z(d) = -5*d + 7. Let k be z(f). What is the remainder when 30 - k\/12*-4 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-6)*(-6)\/(-22). Suppose 9*d = 35*d + 26. Which is bigger: i or d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -7*n - 3. Let g(q) = -2. Let r(o) = 2*g(o) - z(o). Let v be (-15)\/(-10)*4\/6. Let d(p) = 2 - 2 - v + 8*p. What is 5*d(l) - 6*r(l)?\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 11, -7, 0.3 in ascending order.\nAnswer: -7, 0.3, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + -11)*12*4\/32. Suppose 18 = z - 0. List the prime factors of 4 - z\/3 - (i - -1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -813 = -3*p + 5*b, -b + 1478 = 5*p + 95. Suppose p*s - 273*s - 21 = 0. Solve 2*r - 4 = 3*r, -r - s = -3*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.04 (b) 83 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3078 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -434*u**2 - 102862*u - 430. Calculate d(-237).\nAnswer: 518","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11516*t**2 - 28 + 11517*t**2 + 13 + 2 + 13.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b*b\/(b\/(b\/b**(-8\/7))))\/b*b*b*b*b)\/(b*b**(12\/11)) assuming b is positive.\nAnswer: b**(389\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 71107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/19 (b) 7 (c) 2\/21 (d) -0.3 (e) 2\/9 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1*(-1 - -1))\/(-2). Suppose p = -p + 20. Let j be (-15)\/(-18)*-1*(-3)\/p. Is a equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -79 - -100. What is the highest common divisor of b and 357?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2351, -3\/19, -3\/8, -1, 2 in increasing order.\nAnswer: -1, -3\/8, -3\/19, 2, 2351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19.245 + 0.145. Let p = 0.25 - 19.25. Let f = s - p. Which is the closest to 1? (a) f (b) -2 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-4))\/((-8)\/16). Let l = -6 - t. Let k(a) = -4 + 2*a - 1 - 1 + 10. Calculate k(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1245.7 + 1186. Round o to the nearest integer.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fec. Give prob of picking 1 f and 1 c.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 168, 681, 1526, 2703?\n\"Answer: 166*k**2 + 15*k - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 97523, 91880, 86235, 80588?\nAnswer: 74939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of j**2 - 1. Let d(n) = 22*n + 10. Let m(b) = 2*b + 1. Let q(f) = -2*d(f) + 20*m(f). Give p(q(t)).\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 + -23. Suppose -5*y = -2*y - u - 261, -v*u = -4*y + 340. Calculate the greatest common divisor of 8 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -37*(25 - 0 - (-93 + 99)). Sort k, -2\/7, -4 in increasing order.\nAnswer: k, -4, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 78344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 6*z**2 + 21*z + 5. Let s(b) = 25*b**2 + 87*b + 19. Give 17*d(k) - 4*s(k).\nAnswer: 2*k**2 + 9*k + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 163305 and 3396915?\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3544580 = w - 5436128. Let j be w - (-3)\/(-3 - 0). Suppose 2480707 = -b + j. What is b rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 5*x - 14, w - 4*w - 9 = -4*x. Let u be x\/((-3)\/191)*-2. Suppose -2*i + u = -5*o - 39, 0 = 5*i + 5*o - 1070. What are the prime factors of i?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c**(-4\/9)\/c)\/((c\/c**(9\/2))\/c))**27)**(6\/7))**21 assuming c is positive.\nAnswer: c**1485","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11682 to the power of 1\/2, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1792*z**4 - 4134?\nAnswer: 7168*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 97 + 79 = 0 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1296)*4*-2)\/(sqrt(75) + (sqrt(75) - -1*sqrt(75)) + sqrt(75) + -5*-2*sqrt(3)))**2.\nAnswer: 3072\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(3\/7)*x)\/x)\/(x*x**6)*x**(-4)*(x*x**4)\/x assuming x is positive.\nAnswer: x**(-39\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**4*(r\/(r**(-1)*r))\/r*(r**(-1))**(-28) assuming r is positive.\nAnswer: r**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bssssbssbssssss. Give prob of picking 1 s and 1 b.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 7*t + 5\/2*t**2 + 8. Differentiate g(n) with respect to n.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*o**4*x - o*x**2 - 58*o*x - x**2 - 24 wrt o?\nAnswer: -20*o**3*x - x**2 - 58*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qjswosjojssshso. Give prob of picking 1 j and 3 s.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 34.665 and -0.05.\nAnswer: -1.73325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.146 and 0.4.\nAnswer: 0.0584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8.83 and -0.2?\nAnswer: -1.766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u + 1 - 3 + 2*u. Suppose 20 = 4*x + 4*m, -x + 2*x = 3*m + 1. Let i be a(x). What is the greatest common divisor of 3 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24372713 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-1))\/((-45)\/(-30))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22 - 110?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6946787.7 - 0.3?\nAnswer: 6946787.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 404*g**2 - 2*g**3 + 59 - 59 - 77*g**2 - 327*g**2 - g**3.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 3 - 1 = 2*q, -4*b = 4*q. Let i be q\/3 + (-110)\/15. Let a be i - -41 - 1*2. Solve 4*z - 9 + a = 5*f, 0 = 3*z + 4*f + 1 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 3*z. Let j = 89 - 21. Suppose -c = 56 - j. Calculate the lowest common multiple of v(3) and c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {w: 5, a: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 558 divide 914887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 614647 + 9?\nAnswer: 614656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -1611*j**2 - 114*j + 1. Let x(c) = -1613*c**2 - 137*c + 1. Give -6*v(u) + 5*x(u).\nAnswer: 1601*u**2 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 365721 = 11*y + 205*y - 11103663. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**5\/9 - 6*w**4 - 58*w**3\/3 - 178*w**2\/9 - 20*w\/3 = 0 for w.\nAnswer: -1, 0, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 57182, 57172, 57162, 57152?\n\"Answer: -10*y + 57192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-4)*(4 + -8). Suppose -19 = -2*y + 11. Suppose -y = -x + p*a - 0*a, -x = 2*a - 10. Solve -5*m = -0*m + 3*l - 2, -x = -4*m - 5*l for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-210)*6\/12. Let z = 29\/105 + y. Solve 0*g**2 - z*g**3 + 0*g + 0 - 2\/7*g**4 = 0 for g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.5841315 litres?\nAnswer: 584.1315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 70037 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2109908*k**2*y**3 + 3*k*y**3 - 43*k*y - 2413 wrt k.\nAnswer: 4219816*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -71*f**3*n*p + f**3*p + f*n*p + 23*p with respect to n.\nAnswer: -71*f**3*p + f*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 5 + (0 - (-6 - 1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1647.59 rounded to the nearest one hundred?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a gram in milligrams?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -51 + 51.2. Is -49 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -11*s + 3*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 + 2*a - 4. What is s(-3)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 58 and 77?\nAnswer: 4466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) 0.5 (c) 0.09 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q - 1 = 142. What is the greatest common factor of 26 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 128*-0.03\nAnswer: -3.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -13146311.\nAnswer: 3943893.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 1.7 (b) 0.01 (c) -0.5 (d) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 11*y + 16*y + 10*y + 8*y - 46*y. Let l(u) = -2*u + 21. What is o(l(a))?\nAnswer: 2*a - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 43*u + 170. Let b(t) = 2*t + 24. Let r(y) = -2*b(y) + h(y). Calculate r(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214334 is divided by 486.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 24*l**2 + 54*l + 20. Let a be k(-2). Solve -12 = -6*g - a for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 2\/3, 12.41, -15, 5, 1, -5 in descending order.\nAnswer: 12.41, 7, 5, 1, 2\/3, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1323) + 0 + sqrt(1323) - (sqrt(54)\/sqrt(2) + 5)) + (3 + sqrt(147)*-1)*5)*2.\nAnswer: 8*sqrt(3) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -4. Let r(g) = -5*g**2 - 2*g - 4. Let v be r(a). Let h = v - -78. Calculate the remainder when 91 is divided by h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of -1\/12*k**4 + 7*k - k**3 + 0 + 0*k**2. What is the units digit of u(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -4*a + 23, 0 = 5*a + 20 - 5. Suppose -296 = -2*h - 4*c, 2*c = -2*c + 16. Calculate the highest common factor of h and u.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 490087?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 26334*z - 105280. Give p(4).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-5\/4)*p)\/p**1)\/(p**(1\/2)\/(p*p**(-1\/6)*p)) assuming p is positive.\nAnswer: p**(1\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (3 - 4) - (-16 - -17).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = 100*k - 97*k, 5*k = 14*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -16*c**3 + 10*c**2 + 6*c + 16. Suppose -3*w = a - 4*w - 6, -3*w - 8 = -2*a. Let f(x) = -5*x**3 + 3*x**2 + 2*x + 5. Determine a*f(z) - 3*v(z).\nAnswer: -2*z**3 + 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -111*r + 335. Let g be i(3). Solve -g*o + 4*q = 6, -2*o = -5*o + 5*q - 7 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of 13*h**4\/8 + 5*h**3\/3 - 12*h**2. Let v be l(5). Suppose 5*s + 65 = v. Does 22 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 696575 and 225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -13639 - 12829. Suppose -3*o = -4*j - 6601, -o = 2*o + 4*j - b. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*j + 33*j - 21*j as y + l*j and give l.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 225.02 rounded to zero dps?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -6. Find the second derivative of -2*t**2 + o*t**2 + t + 2*t + 2*t**2 wrt t.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2700)*-2 - sqrt(2700))\/(2*sqrt(9)*-1) - (-3 + sqrt(3)*-2 + 2)*4.\nAnswer: 4 + 23*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from wwwwwww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -188, -21, 5, 11, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -38*j + 129. Let f(z) = 2*z. Let r(m) = -4*f(m) + n(m). Find the first derivative of r(y) wrt y.\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 16\/10)\/(5\/25). Let o = r + 14. Solve -c + 2*d = -6, -4*c + 2*d + 0 = o for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (133*o + 46*o - 34*o)*(-o**2 + 2 - 2)*((-2 + 4 + 0)*(0*o + 2*o + 0*o) + 0*o + 5*o - 3*o)*(-2 + 2 + 1 + 1 + 0 + 0 + (1 + 0 - 3)*(-3 + 1 + 0)).\nAnswer: -5220*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/8 + 595\/(-420)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 5. Let a be (-3)\/p + (-5)\/2. Let u = 3 + -5. Is a < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -435700589*y**2 - 383476023?\nAnswer: -871401178*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 1102111?\nAnswer: 1102120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/7 - 3600*c - 959044\/7.\nAnswer: (c - 25238)*(c + 38)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10 - 9) + 1*3. What is the second derivative of -13*g**i + 344*g**3 - 344*g**3 - 10*g wrt g?\nAnswer: -156*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from {f: 6, k: 5, u: 2}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**3 + b**2 - 2. Let w(r) = 31*r**3 + 12*r**2 + 10. Determine 5*k(d) + w(d).\nAnswer: 21*d**3 + 17*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + ((-104)\/12 - -14)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**2 - 7*w - 6. What is d(7)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l**2 - 160*l - 1602. Calculate s(-40).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46 and 1*62\/(-10) - 23\/23?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 190906902 and 1332.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*a - 7*a**3 + a - 3*a**3 + 9*a wrt a.\nAnswer: -60*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**4\/7 - 724548*m**3 - 15215490*m**2\/7 - 15215484*m\/7 - 5071827\/7.\nAnswer: -3*(m + 1)**3*(m + 1690609)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + y + 112275 = 6*c, -5*y = -25. List the prime factors of c.\nAnswer: 2, 7, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 - 14*x + 32.\nAnswer: -(x - 2)*(x + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1.12 (b) -6 (c) -1\/6 (d) -2\/11 (e) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1284\/214*(-4)\/60?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 1531 = -71. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 15*f - 12. Let r be n(-14). Put 5, r, -7 in descending order.\nAnswer: 5, r, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5975 + -3148823\/527. Let y = m + 505\/5797. Determine l so that -y*l**2 - 16\/11 - 8\/11*l = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 y when four letters picked without replacement from ebbbybebbykb.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15 * -23.\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 207 - 162 = 0. Let t = x - 36. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39984 is divided by 1308.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7476 by -675.\nAnswer: 2492\/225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16702, -16701, -16700?\nAnswer: -16699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 71*a + 29 - 33*a - 3*a**3 - 38*a to the form b + h*a + z*a**3 + s*a**2 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/4702 and 71\/14106.\nAnswer: 14106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1368)\/(-6156))\/(4\/(-6)). Let k = -1.06 - -0.06. Which is the fourth smallest value? (a) 3 (b) -5 (c) n (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101011011100110001100 + 0?\nAnswer: 1101011011100110001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 276*i**3*p**3 - 126*i**3*p - 2*i**2*p**5 - i*p - p**2 wrt p.\nAnswer: 1656*i**3*p - 40*i**2*p**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -142 - -142.283. Let n = a + -0.282702. Round n to five decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/18*(-42)\/10*48\/(-56)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -10. Is m < 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.11 + 2.51. What is the smallest value in -15, -1, u?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80 + (19 - (17 - 11 - -4)) + -10 + -2.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 92\/(-644) + (-85)\/(-7)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 153 * -501.3763\nAnswer: -76710.5739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31968 and 430488.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 6 + 14. What is the third derivative of -6*f**g + 3360 - 3358 + 2*f**2 - 38*f**4 wrt f?\nAnswer: -1056*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 0) + (-5 - -7) + 0\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 63\/(0 - -7)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 473601103.\nAnswer: 473601103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500) - (-1 + sqrt(500))) + 2*sqrt(405) - (sqrt(405) + -4*sqrt(405)*2)*2)**2.\nAnswer: 288*sqrt(5) + 103681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 (base 4) in base 5?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w + 12. Let b be p(-8). Let i be ((-2)\/b)\/((-2)\/5). What is the smallest value in 0.5, -5, i?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13.8 + -10. Let k = n + -3.800258. What is k rounded to 5 decimal places?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wfhw when four letters picked without replacement from oqwfqfqwooqqfqhoo?\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4320 divided by 9?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 1846a?\nAnswer: -18471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -13*w**3 + 2. Let l(v) = -12*v**3 + 3. Let t(y) = -2*l(y) + 3*u(y). Suppose -4*r - d + 1 = 0, 18*r - 17*r - 3*d + 16 = 0. Calculate t(r).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 378 - 376. What is the highest common divisor of h and 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3221012132 (base 4) in base 8?\nAnswer: -3510636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143736 is divided by 10926?\nAnswer: 1698","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.351544 litres in millilitres?\nAnswer: 1351.544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i - 2*i - 4*i + (2 + 0 + 1)*(-5*i + 3*i + 0*i))*(1 - 1 - i).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5930\/(-8))\/((-3)\/264*2). Suppose -5*d = -2*g - l, -435 = d + 5*g - 6931. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*q = z - 12, -2*z + q + 11 = 0. Suppose 4*d - 84 = z*o + 73, -5*o = d - 45. Calculate the common denominator of d and (9\/21)\/(2\/7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 698087260 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22607?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3604\/(-110823)*3\/(-4)*-2.\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 divided by -27?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 3*o - 2. Let y be v(-4). Solve 0 = -y*c - c - 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/7524 and 73\/418.\nAnswer: 7524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -29707703, -29707702, -29707701, -29707700, -29707699, -29707698?\n\"Answer: z - 29707704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.97118644 to 1 dp.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -166 - -35. Let t = q + 131.000009. What is t rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 349 + -328. Suppose -5*z + l = -23, 3*l = -4*z + v + 5. Suppose -10 = -2*y - 0. Solve -z*i + y = 0, -i = -n - n - 9 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2407264 + -0.3.\nAnswer: 2407263.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*((-4 - -4) + -8). Calculate the common denominator of -122*4\/a*1 and -19\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 82*k - 61*k - 63. Put -9, -1, k in decreasing order.\nAnswer: k, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((3\/7)\/(18\/(-37740)))\/(14\/(-98))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(7\/4)*t\/t**(1\/3)*(t*t**(-2\/3))**(-19\/2) assuming t is positive.\nAnswer: t**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4373b3 (base 12) in base 2?\nAnswer: 100000101010001110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 11*y**2 - 11*y - 3. Let x be m(12). Solve j - x = -2*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(180) + -5)**2 - sqrt(180)) + (sqrt(360)\/sqrt(6))\/sqrt(12)*-5.\nAnswer: 109*sqrt(5) + 745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 6:53 AM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1151 - -1150.9137. Round w to 3 decimal places.\nAnswer: -0.086","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 1 + 0 = 0. Let x be (-6)\/24 + 42\/8. Does 3 divide (-3 + 1)\/(s\/x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/690 and -17\/16?\nAnswer: 5520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -4*u. Let p(a) = -2876*a. Give p(h(b)).\nAnswer: 11504*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 6:24 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 67106*h - 60. Let s be q(10). What is s rounded to the nearest ten thousand?\nAnswer: 670000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3649?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/171 and -50\/43749.\nAnswer: 831231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2305460, -4610918, -6916376, -9221834, -11527292?\nAnswer: -13832750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8\/109, -27001, 0.07?\nAnswer: -27001","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -732025 by 7.\nAnswer: -104575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 377? (a) 0 (b) -4 (c) 5 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23570821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 2:42 PM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -3*f**2 + 558*f - 555 = 0.\nAnswer: 1, 185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -5*x**4\/4 - 11*x**3\/3 + 10*x - 54. Let z(t) = -t**3 - 2*t**2 + 2. Suppose 0 = -v - 0*v + 2. Determine v*p(d) - 11*z(d).\nAnswer: d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2042 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 134\/(-67) - (-63)\/33.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000034009 rounded to 6 decimal places?\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a litre in millilitres?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-2436916)\/(-153) + (-4)\/14*112\/(-72)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_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: How many micrograms are there in three fifths of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from idpiviimdv. What is prob of picking 2 d?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04 and 3598992.55.\nAnswer: 143959.702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.4 - -2.4. Let y = -4 + 2. Let j = 4.23 - 9.23. What is the second biggest value in y, j, p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1011000001 (base 2) to base 9\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + ((-7 - 18) + 14 - (-3 + -26 + -2)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1876, 1968, 2060, 2152?\n\"Answer: 92*c + 1784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -57*f - 3. Let b be u(-1). What is the greatest common divisor of 594 and b?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, m: 1, j: 1, e: 5, q: 1}. Give prob of picking 1 j, 1 e, and 1 q.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2205360 to the power of 1\/3, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 1 - (-68)\/(-34)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 4, -3\/5, 0.3.\nAnswer: -7, -3\/5, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**5 - 41*n**4 - 175*n**3 - 223*n**2 - 90*n.\nAnswer: n*(n - 45)*(n + 1)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1409833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.4 (b) -171598 (c) 4\/9 (d) 0.3 (e) 0.06\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ri when two letters picked without replacement from kreereie.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9878.992 + 9845. Let j = h - -34. Let i = j - 4.008. Sort 1, i, 0 in descending order.\nAnswer: 1, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 4*c - 1. Let w be g(6). Let o = w + -13. Suppose 3*m - z - o = -0*m, 3*m - 30 = -3*z. Solve 0*k + m*k = -5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1176969019 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*u + 25. Suppose -2*r = -4*f - 16, -7*r - 4*f + 40 = -2*r. Factor 18 - 8 + u*d + 3*d**2 - r.\nAnswer: (d + 2)*(3*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2484 and 40932.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 4*q - 93846 = -93730, 4*q = -4*m - 156 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 66 + 977. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, 7, 69, 193, 397, 699, 1117?\nAnswer: 1669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -8. What is the second smallest value in -2, 1\/2, x?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 948991.2 centuries in decades?\nAnswer: 9489912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26457 + -26457.3. Which is the nearest to 0? (a) -26 (b) f (c) -3 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59, 2\/79, 20, 2\/7, 3\/8 in decreasing order.\nAnswer: 59, 20, 3\/8, 2\/7, 2\/79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of -c**5\/60 + c**4\/3 + 11*c**3\/6 - c**2. Let t be m(9). Suppose 1 = -n + t. Is 1 <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 5 = -8*b. Let l = b + 8. Let c(q) = 6*q + 1 + l - 2 - 1. Give c(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*5*(3*sqrt(152) - sqrt(152) - sqrt(152))*4)\/((sqrt(128) - (sqrt(128) - sqrt(128)*2)) + (sqrt(72)*-3 - sqrt(72))).\nAnswer: 25*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 77\/(-21))*-3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3315*c**4*n - 3*c**4 - 7*c**2*n + 2*c*n - 220139*c wrt c.\nAnswer: 39780*c**2*n - 36*c**2 - 14*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18\/(-84) + (12\/(-126)*24 - -2). Put 0, t, 6, 12, -4 in descending order.\nAnswer: 12, 6, 0, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -617.99?\nAnswer: -617.99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11281667525307 - 0.09.\nAnswer: 11281667525306.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 + -23. What is the third biggest value in -0.4, i, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + 625\/(-75))\/(4 + (-120)\/16).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/144 and 31\/12.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 290*r + 5020 - 1250 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -2\/13 (b) 2\/23 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 22*z**2 + 18*z - 21. Let h be p(-21). Let n be 4\/(-104)*-7 - 21\/h. Is -14 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 43171 = -4*w, -267*q + 264*q + 3*w = -129483. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 118081211 divided by 2\nAnswer: 118081211\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -344*w - 338*w + 680*w + 94*w**3.\nAnswer: 94*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28869897 to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gjjjjjjgjjjgjjggjj. What is prob of sequence jggj?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 100130447?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 204362 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 75531.8mg?\nAnswer: 75.5318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 48 + (0 - (6 - 3)). What is the lowest common multiple of (-54)\/l*5*-3 and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 18\/5 of a millimeter?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/19*c**5 + 6\/19*c**3 + 0 - 14\/19*c**4 - 4\/19*c + 6\/19*c**2.\nAnswer: 2*c*(c - 1)**3*(3*c + 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 279 + -275. Which is the fourth smallest value? (a) 2\/3 (b) 0 (c) f (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (((-28)\/(-21))\/(-1))\/(10\/(-3)). Let g = 0 + 0.2. Let a be (3 + -1)*(-9)\/(-6). What is the nearest to m in g, a, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -410 greater than 57627?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3433955 to the power of 1\/3, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 4024.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 541*v**2 - v + 196 - 398 + 202 to d*v + r*v**2 + n and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - 6*i - 10. Let w = 35 + -28. Calculate p(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4067 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -a795 (base 15) in base 9?\nAnswer: -53575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 4 - 44. Let n be p + -8 - 2\/(-1). Suppose n*a - 19 = a. Is a a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 31, 117, 291, 583, 1023?\nAnswer: 1641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 197 and 2598296.\nAnswer: 2598493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 4*x - 12524 = 0. Let w = 6178 + x. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16338?\nAnswer: 2, 3, 7, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-5 + -15) - (2 - (-4 + 8)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107126 is divided by 42?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*m**5 + 7*m**4 - 64*m**3 - 24308*m**2 + m wrt m?\nAnswer: -180*m**2 + 168*m - 384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -45.3949 + 40.3949. Let o be 7\/(-3)*4\/(-14). Which is the closest to o? (a) 1 (b) 0.3 (c) i (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 109480667?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 177123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 5*a**2 - a - 5. Let y be q(-5). Suppose -5*v + 20 = -y. Let f = -8\/23 - -208\/69. Is f greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326890 is divided by 81718.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 7*u**2 + 10*u + 2. Determine r(7).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 + 0. Suppose -4*o + 108 = -d. List the prime factors of o - (3 - 3)\/(-1).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 10. Let h = -3 - -2.8. Let r = h - -0.1. What is the closest to -1 in 4, w, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 - 1. Let p be 10\/t + (-66)\/(-14). Suppose x = -2*b + 30, 3*x - 75 = -p*b + 1. Calculate the smallest common multiple of b and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/5606949 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1040160 or 7\/11?\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 593270391.\nAnswer: 3, 7, 71, 56843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 176, 447, 844?\nAnswer: 1367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72783 is divided by 36.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 752?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**10\/g))\/(g*g*g\/(g\/(g*g**(-2)\/g))))**45 assuming g is positive.\nAnswer: g**(-360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g**3 - 19105*g**2 + 13*g + 19105*g**2.\nAnswer: 3*g**3 + 13*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 752 is divided by 45.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.56 (b) -0.4 (c) -3\/86\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 52*c - 95. Let v be z(-45). Let r(k) = k**2 - k. Let i be r(-4). Calculate the greatest common factor of i and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3278.790096 - -3280. Let n = z + -1.21. Round n to 5 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(891) + (sqrt(891) - (sqrt(891) - sqrt(891)*2*4)) + -5 - (((-2 + sqrt(539))**2 - sqrt(539)) + sqrt(11)*-4*-5).\nAnswer: -548 + 96*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 608, 755, 890, 1013?\nAnswer: 1124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 102 + -84. Let q be 0*-1*2\/(-4). Suppose 0 = -q*w + w - h. What is the greatest common divisor of w and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1570 = -2*q - 114. Let z = -50 - q. Suppose z = u + u. What is the highest common factor of u and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d52 + -9?\nAnswer: d49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 times 90522?\nAnswer: -1448352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 7. Let n(h) = h**3 + 11*h**2 + h + 11. Let t be n(-11). Put -5, t, z in decreasing order.\nAnswer: z, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1164*x**2 - 1080*x**3 - 1081*x**3 - 1080*x**3 + 3238*x**3 + 1164*x**2.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/7)\/b**(1\/5))\/((b*b**(-3)*b)\/b)**(-3) assuming b is positive.\nAnswer: b**(-227\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9236223 + 9236494.99782. Let i = 272 - b. Round i to four dps.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2498 = 5*n + 4*f, -6*n + 3*f = -2*n - 2017. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1187602?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1071256 and 267814?\nAnswer: 1071256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -1122*n**3 + 176*n - 176. Let r(z) = 19*z**3 - 3*z + 3. Suppose -57 + 51 = -3*f + 3*w, 3*f + 2*w = 11. Give f*p(k) + 176*r(k).\nAnswer: -22*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -93*x - 367. Let r be z(-4). Sort -19, -1, r.\nAnswer: -19, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*c + 0 + 1 + 2*c)*(-8*c - 26*c - c**3 + 16*c) in the form n*c**2 + f*c**4 + r*c**3 + k + z*c and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8252209968 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -306 - 78*v + 57*v + 18*v.\nAnswer: -3*v - 306","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*j - 19*j + 2*j)*(j - 3*j + 0*j) + 2*j**2 + 2 - 2.\nAnswer: 52*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 3*o + 1, 0 = -5*o + w + 4*w. What is the fourth biggest value in o, -0.5, -4, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3853689*a**3 + 3370069.\nAnswer: 11561067*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.037 or -3\/18712?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -569652*z**3 - 4*z + 19979490 wrt z?\nAnswer: -1708956*z**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 2 k, and 1 z when four letters picked without replacement from {z: 2, k: 2, d: 1, b: 11}?\nAnswer: 11\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.03 + -0.02. Let d = 0.25 - k. Sort 0.4, d, 5 in increasing order.\nAnswer: d, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.58 - 0.285. Round g to zero decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 99941 to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20697884 by 899908.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -235*y - 3811. Determine w(-17).\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 10:14 AM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 135526 to the nearest integer?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 258884, 1035678, 2330326, 4142822, 6473160?\n\"Answer: -z**3 + 258933*z**2 + 2*z - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -8*n + 100. What is the highest common divisor of n and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 621 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.02 + 0.48. Which is the smallest value? (a) 1 (b) h (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 496 divide 284513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + 3\/(9\/654). What is the greatest common factor of 20 and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*t = -168, 48*f - 50*f + t = 0. Let -10\/9*i**3 - 8\/9 - 2\/9*i**2 + 2\/9*i**5 + 2\/9*i**f + 16\/9*i = 0. Calculate i.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + n - 64388, -72*s + 3*n = -70*s - 42907. List the prime factors of s.\nAnswer: 11, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -3*b. Let r be 10\/(-45) + (-20)\/(-9). Suppose -2*m - r*m + 56 = b. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 - (9\/(-6) - 299\/(-46)). Is -131\/3 at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 51\/3 + (-2)\/1. Suppose -4*w = 2*v + w - k, 0 = -3*v + 5*w + 10. Suppose 40 = v*f + 4*l, 4*f - l = 53 - 0. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2076 = 231684*v - 230992*v. Let 0*x**2 + 2\/5*x**v + 1\/5 - 2\/5*x - 1\/5*x**4 = 0. What is x?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 10111120220?\nAnswer: 10111120202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*l**2 - 3 + 23*l**2 + 3.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2734 and 59.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6244.95 + -6245. What is the closest to -1.6 in -1\/4, y, 1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29757 and 118739586.\nAnswer: 2289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 154.5 + -154.9. Which is the nearest to -304? (a) k (b) -2\/11 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 4:49 AM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u + 0*u + 4*u - 8. Let j(t) = -t**3 + 7*t**2 - 5*t. Let d be j(6). What is the lowest common multiple of 18 and l(d)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 8, 15 in decreasing order.\nAnswer: 15, 8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**8)**(-16\/5)\/(q\/(q**(1\/6)\/q)*q*q**(-1\/2)) assuming q is positive.\nAnswer: q**(-419\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.7084 + 0.1394. What is k rounded to one decimal place?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a microgram in nanograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20*l*x**3 - l*x + 40*l + 4*x**4 - 12 wrt x.\nAnswer: 60*l*x**2 - l + 16*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 1:31 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3.2, -0.5, -19, 2\/13?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-16)\/4 + 3)*-212. Let y(v) = 16*v**3 - 3*v**2 - v + 1. Let w be y(-2). Let r = w + b. Is 25 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*12\/54*-9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 126, -16059, 13 in decreasing order.\nAnswer: 126, 13, -16059","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 1\/9, 11, 1\/20, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137270968.\nAnswer: 2, 1319, 13009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/165680 and -29\/132544?\nAnswer: 662720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1683802?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 i when four letters picked without replacement from fiiitiiifiiiitttitt?\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 181996 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2 - 1 = 0. Suppose 10*f + 15 = 15*f. Suppose f*c - 26 = 1. What is the highest common factor of r and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8803723218 and -29511.\nAnswer: 8803693707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3061?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*4\/(2 - (-4 + 10)). Is -5 < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w - 9. Let n be r(-10). Let c be 3\/n*76\/(-57). Is (1757\/4)\/(c\/(-16)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-26)\/(-24) - (-16)\/64. Let 2\/3 + 2\/3*h**2 + i*h = 0. What is h?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 636.66 * -0.64\nAnswer: -407.4624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29852 is divided by 14658.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31101 + -113031?\nAnswer: -210132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9660 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1647398198.\nAnswer: 2, 43, 19155793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 186614544 a multiple of 1013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 10*b + 12 = 4*l, -2 = -l + b for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 - (-163 + (157 - 68))?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2054.3 + 2234. Let g = f - 235. Round g to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 543.69 to the nearest integer.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -1502543?\nAnswer: -601017.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 0*j - 8 = 0. Let n(a) be the second derivative of 1\/6*a**3 + 2*a + 0 + 0*a**2 - 1\/6*a**j. Find the second derivative of n(d) wrt d.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8309, 8414, 8519, 8624, 8729, 8834?\n\"Answer: 105*j + 8204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 10103115.\nAnswer: 4\/10103115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -224.7 + 214. Let l = 10 + x. Let y = 0.8 + l. Which is the closest to y? (a) -0.2 (b) -1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*s + 2 - 14 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)*-1*-3)\/(sqrt(150)*-3 + sqrt(150)).\nAnswer: -3*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56 and 40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 37.86 (b) -25 (c) -2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + (-159)\/30)*(-2)\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 162 and 1998?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 8:46 AM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/272312315 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(153) + (-2*(sqrt(153) + 3*sqrt(153)) - sqrt(153)))\/sqrt(9) + 5)**2.\nAnswer: -80*sqrt(17) + 1115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/6 - 707\/(-21). Let g = c + -21. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of 5*d**3\/6 + d**2\/2 - 3*d + 3. Let w(l) be the first derivative of v(l). Does 6 divide w(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -88209 + 88209.000060717. Round h to six decimal places.\nAnswer: 0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100407250807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in -0.5, -1\/25, -3, -248?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007674549 rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h**2 - 4. Let g(z) = 2*z**2 - 2*z - 1. Let d be g(-1). Let o(w) = -2*w**2 + 3. Determine d*s(m) + 4*o(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 429433 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*u - 84*u - 85*u + (2 - 2 - 2)*(3*u + u - 5*u) + (2 + 1 - 1)*(3 - 3 + 2*u) in the form v + f*u and give f.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6\/5 of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1564 and 2102407.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -907*x + 908*x - 36. Is 6 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of y**4\/4 - 5*y**3\/3 + 5*y**2\/2 - 1. Let g(z) = -z**3 + 6*z**2 - 6*z. Let h be (3\/6)\/((-30)\/(-360)). Give h*x(c) + 5*g(c).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -10*v - 265. Let h be m(-25). Let u be (5 - h - 8) + 2. What is the greatest common factor of 26 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -829*s + 1505*s - 4565*s.\nAnswer: -3889*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - r. Let q(s) = -34*s**3 - 8*s**2 - 236*s + 2. Let u(t) = -6*d(t) - q(t). What is the second derivative of u(n) wrt n?\nAnswer: 204*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 687985 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 16) to base 14.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 348 and 513880?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.9 from 5563.52.\nAnswer: 5566.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-702 - 581 - 664)*(l**2 + 0*l**2 + 0*l**2) to the form w*l + u*l**2 + v and give u.\nAnswer: -1947","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17 + 7 - 3 - 77)*(-2 + 2 - n) as d*n + b and give d.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 9*d**2 - 6*d - 8. Let j be v(8). Suppose 0 = 4*z - 3*b - 0*b + 35, -z - 3*b = -10. Let k = j + z. Put k, 2, -3 in descending order.\nAnswer: k, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -l**4\/5 - 958*l**3\/5 + 2331*l**2 + 14524*l\/5 - 5044 = 0.\nAnswer: -970, -2, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 147 and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6 from -1.876.\nAnswer: -7.876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 101100111011111001 (base 2) to base 6\nAnswer: 3540041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 263 + 157. What is the nearest to y in 1\/2, 4, 2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 565534?\nAnswer: 2, 282767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 925 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20907 and 9936?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267931 is divided by 6698.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7, 468, 4\/9, -3?\nAnswer: 468","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (49\/196)\/((-4)\/(-60))*16\/(-12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + (4\/(-3) - (-169)\/(-15)). Which is smaller: q or -8?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 213215 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (9 + -7)*((-2)\/274)\/(-1). Suppose 4*d + 3*d = -98. Let f be (3 + -3)\/((-7)\/(d\/4)). Which is smaller: l or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5820164 a multiple of 218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -107\/4 - -26. What is the nearest to 2 in -0.5, 4\/9, f?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 592829 - -9a?\nAnswer: 592918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**3 - 3*d**2 - 7*d + 1. Is v(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0683 - 0.3683. What is the third biggest value in -28, n, -0.17, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6d5 + -5?\nAnswer: 6d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of 0 - 7*c**2 + 0*c**3 + 13\/24*c**4 + 0*c. Let w(i) = 2*i**2. What is w(y(t))?\nAnswer: 338*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 p, and 1 l when three letters picked without replacement from {f: 5, r: 1, l: 2, k: 1, v: 10, p: 1}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -8. Suppose v + 1 - w = 0. Suppose 27*t = 39*t - 132. Solve 0 = -3*f + 2*k + t, -f - v*f + 4*k = -13 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -38*u**3 - 19*u**2 - 46*u - 5. What is the thousands digit of i(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2085 - -433.07.\nAnswer: 2518.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -31726, 2, 74 in decreasing order.\nAnswer: 74, 2, -2, -31726","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/2 + 19*n**2\/2 - 8*n - 18.\nAnswer: -(n - 18)*(n - 2)*(n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 156 and 2652?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 63569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v**5\/7 - 368*v**4\/7 - 252*v**3 - 2088*v**2\/7 = 0. Calculate v.\nAnswer: -87, -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**2 - 5*m - 2. Let n be y(-6). Let k be 1\/(n\/102 + -1). What is the units digit of 4\/(-14) - k\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of r**2\/2 - 7*r - 2. Suppose -p - 13 = 4*s - 43, -5*p = 10. Let g be o(s). Is g less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 56902?\nAnswer: 5\/56902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 169 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -104*i**3 - 4*i**2 - 3*i + 0*i - 10 + 103*i**3 + 2*i**2 to the form j*i + d + p*i**3 + t*i**2 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 120 and 70.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 4*b + 3*b)*(-4*b + 4*b - 2*b) - 4*b**2 + 2*b**2 - 7*b**2 - 2 + 2 + 3*b**2 - 3*b**2 - 4 + 4.\nAnswer: -11*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -4*q - 50. Let c be i(-13). Suppose 0 = 4*l - 4*u - 252, 6*l - 188 = 3*l + c*u. Suppose -w + l = -10. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u - 18035201 + 3*u - 12649995.\nAnswer: 2*u - 30685196","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.551 times -0.4?\nAnswer: -2.2204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2789352, -11157404, -25104156, -44629608, -69733760?\n\"Answer: -2789350*r**2 - 2*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 135539517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -y**4\/24 - y**2 - 3*y. Let v(d) be the first derivative of h(d). Let l(u) = 3*u**2. Give v(l(t)).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*z - 2*z**4 + 81*z**3 + z**4 - 179*z**3 + 12*z**2 - 1 + 97*z**3 + 2*z**4 as i*z**3 + y*z**2 + q*z + f*z**4 + d and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -111 greater than or equal to -118?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 2*c - 53 - 23, -5*l + 175 = 5*c. Calculate the remainder when 258 is divided by c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4244027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 6*w. Let l(g) = -32*g**2 - g. What is l(h(r))?\nAnswer: -1152*r**2 - 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 11, 3, -0.3, -2\/3, 0.4, -0.0075?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15\/2*r + 6 + 3\/2*r**2 = 0 for r.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2420.259cm to kilometers.\nAnswer: 0.02420259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22783837?\nAnswer: 79, 288403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 2*t**2 + t. Let y be i(-1). Suppose 3*l = 5*q - 46, y*l + 3*q = -4 - 14. What are the prime factors of 2\/l - (-182)\/12?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of 4*x**5\/45 + 2*x**4\/3 + 52*x**3\/27 + 8*x**2\/3 + 16*x\/9 - 14. Determine p so that g(p) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22.8 - 27. Let c = x + 4. Let f = -0.05 - 0.35. Which is smaller: f or c?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242 is divided by 61?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 37912970 to the nearest ten thousand.\nAnswer: 37910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 divided by -37?\nAnswer: -91\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21158*o**3 - 18446*o**3 - 34*o**2 - 147*o**2 wrt o.\nAnswer: 16272","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in -0.1, 3, -11\/3, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.9697 - -23.9833. Let u = -0.047 - p. Let f = -26 - u. Sort 2, f, -1\/10 in descending order.\nAnswer: f, 2, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 18*m. Let d be o(1). Let a = d - 12. Calculate the remainder when ((-1080)\/720)\/((-3)\/(-16))*-11 is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 3a?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k**2 + 2 - k + 11*k - 85*k**3 - 8*k - 4.\nAnswer: -85*k**3 - 6*k**2 + 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*v + 145 + 27*v**3 + 31*v - 145 wrt v.\nAnswer: 162*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 7720 = -5*i, -1544 = -i + 3*l + l. Let y = i + -774. What is y rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37248 and 31872.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0823 + 0.0177. Let w = 0.3 + -0.8. Let q = -3.5 + -0.5. Which is the second smallest value? (a) w (b) g (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/(-204))\/((-1)\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4 - v**3 - 3*v**3 + 4*v - 2*v**3 + 4*v**2. Suppose 5*p = -0 + 5. Let r(f) = f**3 - f**2 - f - 1. Give p*h(s) + 4*r(s).\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -349, -1236, -2719, -4804, -7497, -10804, -14731, -19284?\n\"Answer: -o**3 - 292*o**2 - 4*o - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 539 = 13*r - 358. Suppose 64*f = 2*w + r*f + 14, 2*w + 2*f = -8. Let a = 0.6 + -0.1. Sort -2\/7, a, w in ascending order.\nAnswer: w, -2\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.73 + 3.03. Let f = -0.2 + 0.1. Which is the nearest to 1? (a) f (b) 1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 f when four letters picked without replacement from ftftfffffftf.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 193 = p - 12*r, -2*p - 2*r - 6 - 28 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9319 less than 9319?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 3:08 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (4 - (-1 + 7) - -8).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*f**2 + f**2 - 3*f**2)*(-1 - f**2 + 1) + 2*f**4 + f**3 - f**3)*(-4*f - 6*f - 9*f)*(-2 + 6 + 1).\nAnswer: -95*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 287 - 287. Suppose -3*g - h + 15 = n, 2*g = g - 3*h + 5. Factor -10\/13*b**4 + 16\/13*b - 12\/13*b**3 - 2\/13*b**g + 8\/13*b**2 + 0.\nAnswer: -2*b*(b - 1)*(b + 2)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 2*j**2 + 2*j + j + 4 - 2*j. Let k be l(-2). Let f be -4*(k*-2 + (5 - 2)). Solve -3*g - f*s - 15 = s, -2*g = s + 3 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 5 - 2 = 8*f, -4*f + 5*f + 3*p = -9 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3*h = 6. Suppose h*p + 2*n - 3*n - 4 = 0, -n - 6 = -4*p. Suppose -p*r + 8 = -r. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1663*-4\nAnswer: -0.6652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + 946*h - 3762. Determine l(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**2 + 68*u + 69. Determine m(-33).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -526 - -340. Let p be n\/(-15) + (-4)\/10. What is the highest common divisor of p and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1051 plus -5.3?\nAnswer: 1045.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4786?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 7:59 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 5*c + 5068 = 5018, -2*x - 6*c = 38 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 236 and 37229.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 34*m**2 + 15*m + 652 wrt m?\nAnswer: 68*m + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t + 416 = 14*t. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 28 = -2*h - 4*w, -28 = -3*h + 2*w. What is the lowest common multiple of h and 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0*y + y = 68, 5*f - 326 = 2*y. Suppose -f = 3*x + 2*b + b, -2*b - 95 = 5*x. Let k(z) = z**2 - 9*z + 2. Let c be k(6). Which is smaller: c or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -166, -146, -98, -10, 130, 334?\n\"Answer: 2*t**3 + 2*t**2 - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -991*t + 20 = -971*t. Calculate the highest common factor of t and 343.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(7\/3)\/f)*f*f**(-6))\/(f**0)**40 assuming f is positive.\nAnswer: f**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 229843571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 0.07 (c) -2 (d) -3.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 141195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -2*k - 6. Let c be (3 - k)*1\/21. Solve 4\/7*v + 2\/7 + c*v**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 120.7 - 121. Which is the fourth biggest value? (a) m (b) 0.3 (c) -1 (d) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -5*a + 18, 12*a + 4*x - 36 = 4*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (170\/5)\/((-273)\/(2 - 5)). Let o = s - -3903\/1001. What is the common denominator of (0 + (-1)\/(-4))*53 and o?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/8730 and -37\/17001.\nAnswer: 16490970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 9 - (17 + -13 + -2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + v + 713 - 158 = 0, -4*v = 5*x - 580. Calculate the highest common factor of x and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4431?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of -t**7\/70 + t**6\/20 - 15*t**2 - 10*t. Find o, given that k(o) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 4*a + 1. Suppose -u + 7 = 2. Let c be w(u). Sort c, -5, -2 in descending order.\nAnswer: -2, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/((-9)\/12) + -17 + 8. Sort t, 1, -1, 4 in decreasing order.\nAnswer: 4, 1, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29198.1 rounded to the nearest 100?\nAnswer: -29200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -65 + 68.1. Let h = -3 + l. Suppose 5*b - 2*b = -6. Does b = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25293 + 25179.03. Round z to 0 decimal places.\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 3 + sqrt(2) + sqrt(2))*-1)**2.\nAnswer: 8*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) - 1*(sqrt(832) + -2) - sqrt(832))**2.\nAnswer: -32*sqrt(13) + 836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*1)\/(45*(-493)\/(-1566))?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23298054 divided by -1?\nAnswer: -23298054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 - 3 + 3)*(z**2 - 3*z**2 + 0*z**2) + 3*z**4 - 3*z**4 - 4*z**4 - 8 + 25 - 19 + 12*z**4 + 0*z**4.\nAnswer: 10*z**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + -12. Suppose -k*y + 20 = -2*s - 0, -5 = 4*s - y. Let f = -4 - -5. Solve l - f + 5 = s for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20538657, -1, 4 in decreasing order.\nAnswer: 20538657, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.1466*5\nAnswer: -0.733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence caz when three letters picked without replacement from {a: 2, z: 2, c: 11}.\nAnswer: 22\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12542.5 + 12542. Is 2 greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 137*b**2 + 281*b - 60. Give v(-3).\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 x when four letters picked without replacement from xkssxsxxkxhxxsxdkkx?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20510?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 1750?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 5 - 57 - -22?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6}. Give prob of picking 3 b.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1474, 5424, 11856, 20776, 32190?\n\"Answer: f**3 + 1235*f**2 + 238*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 15 = -y, -15*y = -11*y - m - 81. What is the greatest common divisor of y and 2960?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001129 rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 34 = -22. Let x = -6 + u. Solve -6 = -x*n + 2*g + g, -4*n + 4*g + 4 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(3*8\/(-12)). Let y = -146 + 152. Suppose 2*n - 26 = -2*o + y*n, -3*n - 17 = -o. Put o, -4, l, 1 in descending order.\nAnswer: o, 1, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10.78 - -0.22. Let m = -11.014 + u. What is m rounded to 3 dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 12) in base 8?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yp when two letters picked without replacement from ypnnnnnynnyneen.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -589100 + 589100 + 5045*d.\nAnswer: 5045*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 34.16424l?\nAnswer: 34164.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 3*i - 1. Let b be o(-4). Let j = b + 7. Find the second derivative of -3*x - 2*x**4 - 13*x**5 + 10*x**5 + j*x**4 wrt x.\nAnswer: -60*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -10. What is the closest to -2 in 0.4, -1\/4, b?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126298861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -412, -413, -414, -415, -416?\n\"Answer: -f - 411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a hour in minutes?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 93 - 82. Let v = a + -11.3. What is the second smallest value in 16, v, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -47*f**2 - 2*f. Let b(u) = 82*u**2. What is q(b(p))?\nAnswer: -316028*p**4 - 164*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3112*x**6 + 5*x**2 - 24*x.\nAnswer: 373440*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -74701*a - 821450. What is u(-11)?\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 0, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3, -27, -69, -129, -207, -303, -417?\n\"Answer: -9*z**2 + 3*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 3*f**2 + 11*f - 1. Let b(g) = -g**3 - 2*g**2 + 10*g. Let q(c) = -7*b(c) + 6*u(c). Let p be q(5). Which is smaller: -1\/10 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + 10. Sort 2, c, -1.\nAnswer: c, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27399504233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -404*y**2 - 83*y**3 - 6 + 397*y**2 + 5 + 266*y**3.\nAnswer: 183*y**3 - 7*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*z = 128*z + 56 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 9:50 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -n**3\/3 - n**2\/2 - 25*n - 53. Differentiate b(f) with respect to f.\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -10*g - 16. What are the prime factors of k(-14)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 6:25 AM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21.1 - -19.1. What is the smallest value in -4, -1, l, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -1681?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3*z - 290, 2*c = -z + 36 + 63. Is z a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6\/7 (b) 18 (c) -0.102\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -280622 and 0.04.\nAnswer: -11224.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - r - 14. Let g be q(-7). What is the common denominator of 47\/40 and 4\/(-5) + 55\/g?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2. Let k(r) be the first derivative of 79*r**3\/3 + 2*r**2 + 2*r + 6216. Calculate k(z(c)).\nAnswer: 79*c**4 + 4*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.86703kg in nanograms?\nAnswer: 83867030000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35084202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 999 - 915. Suppose z*u = 87*u - 4737. What are the prime factors of u?\nAnswer: 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of 2*q**2 - 3\/2*q**3 + 19\/12*q**4 + 30*q - 1\/10*q**5 + 0. Let a be b(9). Calculate the greatest common divisor of 68 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -52 - -53. Let r = -6 - -1. What is the second biggest value in 0.5, h, r?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 873, 2, 6, -4.\nAnswer: -4, 2, 6, 873","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 l when two letters picked without replacement from {l: 1, n: 3, a: 1, u: 3, p: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of 1\/4*d**4 + 0*d**3 + 3\/10*d**6 + 0*d**2 + 0 + 9\/20*d**5 + 1\/14*d**7 - 4*d. Factor q(t).\nAnswer: 3*t**2*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 3*p - p - 16.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 8, 254.\nAnswer: -2, 4, 8, 254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f + 55 = -270. Sort 4, 1, 0, f in decreasing order.\nAnswer: 4, 1, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 16*n = 11*n + 20, 89*n = -q + 20*n + 276 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 302\/7 - 2395\/56. What is the nearest to z in 0, -3\/2, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -24*q - 15 + 13*q + 32*q - 57. Suppose 2*l - 36 - 24 = 0. What is the lowest common multiple of u(4) and l?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*k + 4*k + k)*(-5*k + 4*k + 0*k)*(-11658*k + 11658*k - 6*k**2) to t*k**3 + s*k**4 + q*k + a*k**2 + l and give s.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 3, -9, -12 in descending order.\nAnswer: 3, -1, -2, -9, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/13067062 and 38\/1967?\nAnswer: 91469434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 26*(-4)\/12*-6. Suppose x = -2*c + 4*s, 8*s = -3*c + 3*s - 45. What is c rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12443745 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 72*a**2 + 140*a - 3. Give f(-70).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.7 - -0.7. Let r = 2.5 + u. Which is the nearest to -1\/3? (a) -1 (b) r (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-98) - 408\/(-2660))*10.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-4)*128\/80*-1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 8967358, -2 in ascending order.\nAnswer: -2, 8, 8967358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14950618?\nAnswer: 2, 31, 293, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.049479 to three decimal places.\nAnswer: 0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -399.00596 + 399. What is w rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15123 * 86\nAnswer: -1300578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 6*g**2 - 9*g - 17. Let w be c(-4). What is the highest common factor of 5 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7505 is divided by 35.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - 194a?\nAnswer: -1949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17044745*f**3 - 223*f**2 - 5522.\nAnswer: -102268470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, h: 3, x: 1, y: 1, n: 1, u: 1}. What is prob of picking 1 x and 1 u?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is 838324 to the power of 1\/4, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19.955 - 0.045. Let h = p - -20. Which is the third biggest value? (a) 0.4 (b) h (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.4271975m?\nAnswer: 427197500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 2*o - 30*o - 31*o + 2.\nAnswer: -59*o + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 12, 26, 62, 132, 248, 422, 666?\n\"Answer: 2*a**3 - a**2 + 3*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 0*g + 44 = r, 0 = 3*g + r + 33. Let z be g + 5 + 2*-1. Is (-1)\/(-8) - 2671\/z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -101 + (4 + 7 + 21 + -1 - 9)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29282689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of 3*c**4\/4 + c**3\/3 - c**2\/2 + 21. Give h(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 3*r**3 + 4*r**2 + 5. Let j(b) = -2*b**3 - 2*b**2 - 3. Let g = -73 - -24. Let a = g + 84. Suppose 0 = y - 8*y - a. Determine y*j(c) - 3*l(c).\nAnswer: c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56\/147)\/((36\/(-21))\/2).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -3163695 and 149.04.\nAnswer: -3163545.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5864 and 264.\nAnswer: 193512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 34404 + 7728 = z, 4*z + 26679 = 5*l. What is the thousands digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66, 138, 206, 270, 330, 386?\nAnswer: 438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 80, 92, 104, 110, 104, 80, 32, -46?\n\"Answer: -m**3 + 6*m**2 + m + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 49*h. Let f(n) = n**2 - 5335*n. Determine u(f(b)).\nAnswer: 49*b**2 - 261415*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -50b + -1?\nAnswer: -50c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*a + 29*a**2 - 9*a.\nAnswer: 29*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hyyhhqdqycyyqyqkdkhy. What is prob of sequence kkyd?\nAnswer: 7\/29070","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of k**8\/57120 - 3*k**4\/4 - 16*k**2. Let n(u) be the second derivative of b(u). Factor n(i).\nAnswer: 2*i**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of 0*x + 0*x**2 + 0*x**3 + 1\/18*x**6 + 2\/15*x**5 - 1\/4*x**4 - 68. Determine q, given that c(q) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1162, 4, 3, -1 in decreasing order.\nAnswer: 1162, 4, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -1 - 3*u + 0*u + 2*u. Let y be o(-5). Let r be (1\/(-2))\/((-2)\/(-4)). Sort r, y, 1 in increasing order.\nAnswer: r, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u - 10. Let m be o(-11). Solve 5*g - 5*a + 8 = -m, 4*a = -5*g - 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104693960 is divided by 8666?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 + 57. Calculate the greatest common divisor of o and 175.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**8)\/((f*f*f*(f\/f**(-6))\/f*f)\/f))\/(f**(-1)*f**1))**47 assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10 - (-6 + (9 - 5) - 1). What is the highest common factor of 338 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -110 - -548\/5. Let z = -1 - 1. Let s be -1 + 2 - (-1)\/z. Which is the biggest value? (a) s (b) 0.2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 2*n + n)*(939 + 16138 + 8283 + 14380).\nAnswer: 79480*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*(sqrt(1584) + 2) - sqrt(1584)) + 3*sqrt(1584) + 0)*2)**2 - -5*((0 + sqrt(1584) + -4)**2 + (sqrt(1584) + -2 + sqrt(1584) + -2)**2).\nAnswer: 3168*sqrt(11) + 268112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19697*a*b**3*s*u - 80*a*b**3*u + 2*a*b + 3*a*s - a*u + 108*a + 4*b**2*s*u - 87*b**2*s + 2*b*s*u wrt b.\nAnswer: 118182*a*s*u - 480*a*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1122 * -0.2.\nAnswer: 224.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43784*i + 23545*i + 30088*i.\nAnswer: 9849*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 67362, 67360, 67356, 67350, 67342?\n\"Answer: -m**2 + m + 67362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tmaastmbat. What is prob of picking 1 s and 1 m?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -0.3, -10, -54?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.07 + 3.27. Let j = 0.2 - z. Let k = 2.6 + j. Which is the closest to 0? (a) 0.5 (b) -3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1380, -1403, -1426?\n\"Answer: -23*x - 1357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5999 = 509*s - 2945 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sq when two letters picked without replacement from uqcquqqquusqucssq?\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -104611\/31 + 3375. Let t = -87\/124 + z. Sort t, -1, -31 in descending order.\nAnswer: t, -1, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8 * -0.00677317.\nAnswer: 0.005418536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-8)*4\/(-8)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -86984145.6 rounded to the nearest ten thousand?\nAnswer: -86980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -44 + -204026351?\nAnswer: -204026425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(2*2\/48). Factor -12*s - s**3 - s**2 + x*s.\nAnswer: -s**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -759*d - 199. Is 19 a factor of j(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1269501 is divided by 7692?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = n + 2*j - 15, -4*j = -3*n - 7. Let i(h) = -12*h**2 + 8*h**2 + 3 + 8*h + h**n + 11*h**2 + 0*h. Determine i(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1766423 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from ihhhaihhhhhhihiahahh.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d + 3. Let j be f(-4). Let q = -5 + j. Differentiate -o**2 + q + o**2 + 2*o**4 wrt o.\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i**3 - 2*i**2 - i - 19. Let q(b) = 5*b**3 + b**2 + b + 19. What is -3*q(g) - 4*w(g)?\nAnswer: -3*g**3 + 5*g**2 + g + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -5*d - 5. Suppose -w + 0*w - 10 = 4*v, -5*w + 2*v = 28. Let n be (-7)\/(70\/(-12))*(-15)\/w. Let a(q) = 161 - 84 - 2*q - 79. Calculate n*k(b) - 7*a(b).\nAnswer: -b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s - 2*t + 40, -19*s - 65 + 45 = 4*t for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-140)\/32 + 28\/7)*-2326. Let b = -872 + j. What is the nearest to b in -3, 0.3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two sevenths of a week in days?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*c**4*r**3 + 143*c**4*r**2 + 521*r**3 wrt c?\nAnswer: -8*c**3*r**3 + 572*c**3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4168002491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + b + 4*b + 15 = 0, 28 = 4*j - 4*b. Suppose 4*c + 14 = 3*v, -7*v - 5*c + 35 = -j*v. What is the greatest common divisor of v and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -17 - ((-11 - (-3 + -22 - -36)) + 102)\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 1:43 PM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1440943 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 7*h**2 + 8*h + 2. Calculate j(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -954 - -1179. Calculate the lowest common multiple of 315 and o.\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 8, j: 6, i: 3}. Give prob of sequence jjj.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 8. Let g be 30\/s*(-2 - -4). What is the greatest common factor of 6 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 182, 719, 1614, 2867, 4478, 6447?\nAnswer: 8774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 261?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*a - 22*a - 26*a.\nAnswer: -56*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**2. Let c(b) = -3 - 4 - 11 - 3*b**2 - 10 - 2. What is t(c(x))?\nAnswer: 18*x**4 + 360*x**2 + 1800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 + -28?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + 799.662.\nAnswer: 800.162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is a605 (base 13) in base 15?\nAnswer: 6c29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5833930?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 8 - 0 - 0\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 9*r**5 + 354*r**4 + 1107*r**3 + 978*r**2 + 216*r = 0.\nAnswer: -36, -2, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, a: 1, o: 1, d: 1, n: 3, b: 2}. What is prob of picking 1 d, 1 k, and 2 b?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1191 + -1150. Calculate the remainder when 68 is divided by p.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -20*n. Let o(t) be the second derivative of -t**4\/4 - 36*t + 81. What is b(o(g))?\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*b = -98*b + 270. Let y = 4 - -6. Calculate the greatest common factor of y and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -91.6 + 91.5. Suppose -2*s - 8 = 0, -5*x + 2*s = -2*s - 196. Which is the second smallest value? (a) -3\/8 (b) x (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6397505?\nAnswer: 5, 857, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3021 - 1520. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1333, 6623, 15711, 28597, 45281?\nAnswer: 65763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 36*m + 40*m + 4 = 0, 5*g = 2*m + 24 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -11005900 to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-4816)\/12)\/((-6)\/9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/(-150)*10\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 28, 52, 76, 100?\n\"Answer: 24*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6191?\nAnswer: 41, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -528 + 534. Suppose -u*x = -143 - 547. What is the remainder when x is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 37*l + 26. Let w(m) = -118*m - 78. Let d(h) = -16*i(h) - 5*w(h). Determine d(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 2, 8\/13, 5, -1\/3, -0.9 in descending order.\nAnswer: 5, 4, 2, 8\/13, 0, -1\/3, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of k**3\/3 - 3*k**2 + 10*k + 15. Let t be v(5). Suppose d - t*f = -3 - 0, -4*d = -3*f - 5. Solve -d = o + 1 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4028137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2301488*r**3 - 1891306*r**3 + 1666697*r**3.\nAnswer: -2526097*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 u when four letters picked without replacement from {m: 6, u: 6}.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-8))\/((-2)\/(-24)). Suppose -o*l = -l + 35. Let y(j) = j - 1. Let k(c) = -c. Let n(t) = -4*k(t) - 3*y(t). What is n(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.634 + -3.634. Let m be ((-2)\/5)\/(3 - 0). What is the second biggest value in 0.09, w, m, 2?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -33. Let u(b) = -3*b**2 - 1. Let v be u(2). Let n = v + c. Calculate the lowest common multiple of n and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10868 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 186*u**2 - 1769*u + 353. Give h(176).\nAnswer: -1231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 4 + 2. Suppose 54 = -q*g + 5*g. Suppose 5*s - g = w, 3*s - w = -6 + 16. Which is bigger: s or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -156 at most -158?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*l**2 + 2*l**2 + 15*l**2)*(-2*l**2 - 4 + 0*l**2 + 1) to the form s + k*l**3 + n*l**2 + q*l**4 + h*l and give q.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37\/11 - 215\/77. Let p be 4\/2 + 26\/(-28). Let w = h - p. Put 5\/3, 3, w in increasing order.\nAnswer: w, 5\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2*a**2\/3 + 1880*a - 22528\/3 = 0.\nAnswer: 4, 2816","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3810 - -10?\nAnswer: -3800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-581*q - 853*q + 279*q - 2)*(-1 + 3 + 1).\nAnswer: -3465*q - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189*l - 2*a = -190*l, -14 = 3*l + a. Let g(w) = w - 8. Let d be g(6). Sort d, l, 2 in descending order.\nAnswer: 2, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5 - -2) + 1)\/(8\/20).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 4:17 AM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -4*k + 14*k. Let a(p) be the third derivative of 5*p**4\/4 - p**3\/6 - p**2. Is a(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -123\/4 + 869\/28. Sort i, -13, -0.5 in increasing order.\nAnswer: -13, -0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, 1, -2\/9, 35\/2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u, 1 v, and 1 k when four letters picked without replacement from kuuuujuvvvkkwh?\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/4))**16)**(-3) assuming u is positive.\nAnswer: u**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + 1. Suppose 10*p - s = 9*p. Let l(o) = -3 - 21*o + 16*o + p*o. What is l(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -2. Is 6 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of 1\/6*v**3 + 3\/2*v**2 - 48*v + 0 - 1\/4*v**4 - 1\/20*v**5. Factor l(d).\nAnswer: -(d - 1)*(d + 1)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -271971 - 6234?\nAnswer: -278205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-19))**34)**(2\/25) assuming b is positive.\nAnswer: b**(-1292\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 135261 and 10431.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**3 - 3*u**3 + 0*u**3 + (-2*u + 4*u - 3*u)*(2*u**2 - u**2 + u**2).\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33.5 + 34. What is the biggest value in t, 2, -1\/6, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (16\/5)\/4 - (-18)\/(-30). What is the closest to 13 in -1\/3, 0.03, h, 2\/27?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 231 and 6363.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -412912*g**3*v - 84*g**2*v + 105*g - 248684*v wrt g?\nAnswer: -2477472*g*v - 168*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 48893563?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36 - 39. Put -6, k, 0 in descending order.\nAnswer: 0, k, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/6*(408\/(-690))\/(-17)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w**2 + 7*w - 7. Let p be q(6). Let b be p\/26 + 2\/(-4). Let z(g) = -g**3 + 4*g**2 + 6*g + 2. Calculate the remainder when 11 is divided by z(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/3*x**2 + 4\/3*x + 0 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 5*v - 21. Let i(u) = -66*u + 273. Determine 2*i(l) + 27*y(l).\nAnswer: 3*l - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 1 + 2 - -8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*v + 2 + 16. Let j(c) = -9*c**3 + c**2 - 4*c - 5. Calculate the remainder when j(v) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 3*l - 32, 5*l = 5*d - d. Let q = 8 - 5. Sort -2, d, q in increasing order.\nAnswer: -2, q, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x - 22. Give q(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 17*g + 2. Let n be b(4). Suppose h + 4*h - n = 0. Calculate the smallest common multiple of 6 and h.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 18979, 75908, 170779, 303580, 474299?\n\"Answer: -2*m**3 + 18983*m**2 - 6*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by -494.\nAnswer: 7\/247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -7*d - 12. Let h(n) = -20*n - 36. Let w(u) = -17*a(u) + 6*h(u). Let s be w(-12). Solve 0 = x - s + 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*l + 2*j = 31*l + 24, 4*l - 5*j + 57 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -163*j**3 - 7*j**2 + 9*j - 2. Determine c(1).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25398 + 50795\/2. What is the second biggest value in 8, s, 13, -2\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -r + 72865, r + 3*g - 63700 - 9150 = 0. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -7706*p + 670481. What is q(87)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 26530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 47 (b) 9 (c) 0.4 (d) -4 (e) 0.1 (f) -0.047\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.4014 + -0.5986. Which is the second smallest value? (a) r (b) -0.4 (c) 0.1 (d) -36\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -489*j - 1219*j + 3741 = 325 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-1*(0 - 1)). Let d(n) = 11*n**2 - 3*n**2 + n**o + 3*n**2. Let m(b) = -b. Give m(d(r)).\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i = -5*f + 48, f - 2*i = -4*i - 6 + 15 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 237315978?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g = -163 + 98. Solve 3 = -g*v - 12, -i - 10 = 2*v for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -5 + 1 + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 13*i**2 - 12*i + 13. Suppose 19 = 4*w - 37. Let v be g(w). Let a = 554 + v. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -204 or -202?\nAnswer: -202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-5*m + m + 5*m)*(-6*m**2 + 0*m**2 + 4*m**2) - 2*m**2 + 2*m**2 - m**3)*(-7 + 0 + 3) in the form d*m**2 + h*m**3 + n + a*m and give h.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 99 + 2. Does 20 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605) - -4*sqrt(605)) + -5)**2.\nAnswer: -550*sqrt(5) + 15150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34\/5 - 7. What is the nearest to 0.1 in g, 3\/8, -3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4\/3)*d)\/d**(-1)*(d\/d**(-5\/6))\/(d*d\/(d*d**5*d))*(d**4\/d**4)**(2\/55) assuming d is positive.\nAnswer: d**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8.245013 litres?\nAnswer: 8245.013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -4*o + 6. Let a(b) be the third derivative of b**4\/24 - b**3\/3 + 12*b**2. Give -17*a(j) - 6*f(j).\nAnswer: 7*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 91\/(-52) + 1*2\/(-8). Is c not equal to -2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and 92219178.\nAnswer: 92219177.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*n - 352*n - 174*n = -17952 for n.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2671, -7569, -14669, -23971, -35475?\n\"Answer: -1101*w**2 - 1595*w + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + 18*m + 48. Suppose -30*z - 544 = 15*z - 11*z. Give b(z).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -7*h + 2. Let t(n) = -13*n + 4. Let r(g) = -4*t(g) + 7*x(g). Let f be r(1). Let y = 3 + f. Sort 5, 2, y, -4 in ascending order.\nAnswer: -4, 2, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0.1 (c) -78\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) 0.5 (c) -4 (d) -2\/11 (e) 18 (f) -0.63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 9*l - 6. Let m be y(8). Suppose m*n - 4*n = -12. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -0.0438\nAnswer: -0.01314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -58 + 100. What is the highest common factor of 14 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 755*j - 761. Determine b(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = n + 146. Let o = 128 - n. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.8557 * 6.\nAnswer: 59.1342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2033487 or -2033486?\nAnswer: -2033487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19705 - 19711. Let k(u) = u**3 - 9*u**2 + 7*u + 9. Let l be k(8). Let a(o) = -7*o**2 - 5*o + 6. Let x(q) = -q**2 + 1. What is l*a(b) + t*x(b)?\nAnswer: -b**2 - 5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7715001659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2771 - 21?\nAnswer: 2750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -399332034.523 - -397534091.52261. Let c = g + 1797987. Let w = -44 + c. What is w rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79262 is divided by 4222.\nAnswer: 3266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -114*i - 69*i - 3*i**2 - 630*i**3 + 577*i**3 + 89*i - 365*i wrt i.\nAnswer: -318*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 768427 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 8136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1923835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 12 = 4*f, -5*m + f - 66 = 0. Let r(s) = -11*s - 153. Let j be r(m). Factor -j - 3\/4*g + 1\/4*g**2.\nAnswer: (g - 4)*(g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/u**1)**(-2\/23))**(2\/9))**(-1\/42))**(-12) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a kilometer in meters?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2*(4*(sqrt(2736) + 1 + sqrt(2736)) + (sqrt(2736) - (2*sqrt(2736) + -4 - sqrt(2736)))))**2.\nAnswer: 4992*sqrt(19) + 700585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 103065071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2*r + 6 = 0. Let z(i) = i**3 + 2*i**2 - 2*i. Let x be z(-2). Find the second derivative of -5*w + w**4 - 2*w**x + r*w wrt w.\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 r when two letters picked without replacement from drqxxqqttq.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 24407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {o: 2, h: 2, s: 5, r: 1, f: 6}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 11 - 9 = 5*s, 0 = 4*s - 4 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 p, and 1 m when three letters picked without replacement from {d: 2, m: 1, p: 3, t: 1, g: 4}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8628587 is divided by 132.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00355382824 rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6785 times -1.2?\nAnswer: -8142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3151*n**3 + 11*n**2 + 67*n + 10. Let v(s) = -628*s**3 - 2*s**2 - 13*s - 2. Determine -2*b(a) - 11*v(a).\nAnswer: 606*a**3 + 9*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -185\/6 + 31. Let t = i + 1\/3. Which is the closest to -0.3? (a) 5 (b) -1\/2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 10.3. What is the third biggest value in -7, 1, s, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 669383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3 + 703*m**2 + 7854*m.\nAnswer: -m*(m - 714)*(m + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 4*y + y. Let o be 3 + y - (-10 - -8). Let k = o + 0. Solve -5*q + q = -s + 20, 2*s - k*q - 25 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-8 - (-7 + -8)) + 5 + 23?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 746 a factor of 1622719342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -609, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 609, 1214, 1819, 2424, 3029?\nAnswer: 3634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3558 and 3.\nAnswer: 3558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/4 and 0.03122 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 75, 3, 1 in decreasing order.\nAnswer: 75, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/13 (b) -0.0375 (c) 18 (d) -22 (e) 0.2 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -11*x**6\/30 + x**5\/20 - 7*x**4\/12 + x**3\/6 + x + 3. Find the third derivative of y(w) wrt w.\nAnswer: -264*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -2)\/((-27)\/432)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 46890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-2)*(-4)\/(-3). Let o be 2\/u - (-1 - 0). Solve o = l + l + 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z + 1. Let c be (-6 + (3 - -1))\/2. Let q(x) = 4*x - 1. Let r(w) = -w**3 + w**2 - 2*w - 3. Let t be r(0). Give c*q(u) + t*d(u).\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-26) + 61\/(77714\/45276).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*k**2 - 1006028*k - 223560 = 0 for k.\nAnswer: -27945, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -4*x**2 + 33*x + 12. What is y(9)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 20 + 34 + (4 - 5 - 1)*(-2 - 3 + 3) - 3 - 3 + 5)*(-3*v**2 + 2*v**2 + 0*v**2) to the form p*v**2 + o*v + c and give p.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 46 (base 14) to base 16\nAnswer: 3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000847061 to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 726\/3289 - (-11)\/(1001\/(-28))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3799922 and 2484.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 445 + -320. Calculate the remainder when r is divided by 64.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 49 - 49 + 2*p**2 + 0. Let n(x) = -28905*x. Calculate n(l(g)).\nAnswer: -57810*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.99 plus -4503?\nAnswer: -4502.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -399866 = -5*z + 3*s - 0*s, 2*z = 5*s + 159973. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -44*m**2 - 2*m + 70 wrt m?\nAnswer: -88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4, -7, -10, -13, -16?\n\"Answer: -3*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*d + 32*d = -7*d - 32 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 795*o - 116 + 58 - 2234*o - 1494*o + 57.\nAnswer: -2933*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5304 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2 + 23824*q - 23828.\nAnswer: 4*(q - 1)*(q + 5957)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0, 4, -0.3, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, o: 1}. What is prob of sequence dod?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12796?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 18 + 3. Let r(l) = 2*l**2 - 1. Let h be r(-2). Suppose 0 = -5*c - 4*u + 8 + 32, -b*c = -u - h. Solve -c*f + 1 = -7 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 83 - 73. Suppose -12*o = -10*o - 3*l - g, 0 = -5*l - 10. Solve -m - 16 = -4*m - o*u, 5*u - 35 = -5*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -7*j - 17. Calculate b(36).\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7db13 - 6?\nAnswer: -7db19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y - 28. Let l(m) = -6*m + 83. Let o(h) = 17*c(h) + 6*l(h). Let f be o(11). What is the least common multiple of 32 and 7 - (7 + (f - 4)) - -16?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/594 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 11110011110 (base 2) to base 8\nAnswer: 3636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -36\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5, 16.3, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1520405*x - 3040812*x + 1520407*x + 1006*x**2.\nAnswer: 1006*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -11694 less than -11681?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17622735.\nAnswer: 3, 5, 13, 90373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from incnciifnficiicnfii. Give prob of picking 1 n, 2 f, and 1 i.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.14, -46, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 1\/2*f**3 + 0 + 5\/2*f**2 = 0. Calculate f.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of 169*c**2\/2 - 59. Let v(m) = -m. What is t(v(z))?\nAnswer: -169*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 73297 and 1382172?\nAnswer: 9675204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-48)\/264 - 620\/(-22). Suppose 8*k + m - 60 = 0. Let x be -1 - (-1)\/(2\/12). Solve k*z = -z - x for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 9*t**2 - 11*t - 6. Let r be q(-8). Let f = r + 5. Suppose -5*w + 28 = -4*b, -w - 4*b = b - f. What is the highest common divisor of 1 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7495?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 38380658 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 934895.\nAnswer: 5, 13, 19, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.66701m in micrometers?\nAnswer: 46667010","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*n**2 - 56 + 56.\nAnswer: 33*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (490\/420)\/(14\/(-40))?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 370?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*a = 25*a + 18. What is the highest common divisor of 18 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - a**2 - 8*a + 7. Determine v(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39126010.\nAnswer: 2, 5, 7, 11, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(20)*-1)\/sqrt(10) + (-1 + sqrt(242))**2).\nAnswer: -46*sqrt(2) + 486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j - 5*k + 9, -3*j - j + 3*k + 12 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30080 + 30092. Let b(i) = i**3 - 14*i**2 + 21*i + 43. What is b(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**2\/8 + 1469*f\/8 + 10381\/4 = 0.\nAnswer: -14, 1483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 339094.5 nanograms to milligrams.\nAnswer: 0.3390945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -3.2. Let x = -19 - -19. Suppose -z = -3*g - 15, x = -3*g + 4*g + z + 5. Which is the smallest value? (a) l (b) 5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) 0.1 (b) -2\/3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 12*y**2 + 2*y + 29. Calculate p(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9491, 9492, 9493, 9494, 9495, 9496?\n\"Answer: o + 9490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -29*w. Let h(q) = 3*q**2. Calculate h(s(z)).\nAnswer: 2523*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a centimeter in millimeters?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -8, 3, -13900, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31234 - 13342. Is q a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*d - 39 = -5*s, -5*s + 21 = d. Suppose 0 = w - d*w. Let p = w + 127. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooooxoooox. Give prob of sequence oo.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 21446 = 5*z + 21363, 2*r + 121 = 7*z for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 18*c**2 + 9*c + 143. Let l be s(17). Suppose 0 = -5*q - 2*y + 41, -q - y + l = -0*y. What is the smallest common multiple of 788 and q?\nAnswer: 7092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*u = 60*u + 585. Let f be u + 34 - (-57)\/66*6. Sort f, 5\/2, -0.14, 4 in decreasing order.\nAnswer: 4, 5\/2, f, -0.14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**3 - 3*f**2 - 64*f + 200. Let q be v(3). What is the nearest to -2 in -4, q, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 43*y + 483. Determine u(-17).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/2 + (-24)\/48?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + 10)*14\/(-8). Let w = -11 - u. Let m(l) = -5*l + l + w*l. Let y(k) = 16*k**2. Give y(m(t)).\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = -13*x + 8*x - 5*y, -2*y - 35 = -x. Which is bigger: 32 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264396607 divided by 5?\nAnswer: 264396607\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 438 - -1257. Is 34 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1316 + 1314. Let v(h) = -h. What is v(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-96)\/(-9) - 2) + (-30 - -21)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3371024 + 7613077. Suppose c - 402053 = -d. What is d rounded to the nearest one hundred thousand?\nAnswer: -3800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -124, -40, 2 in decreasing order.\nAnswer: 2, -1, -3, -40, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 27 = 5*m. Let i be m\/(-4)*(-428)\/6. What is i rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 1, 11, 0.007, -5\/6?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 424170?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**2 - 20399602*f - 104035940439601 = 0. What is f?\nAnswer: -10199801","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 69313185 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 27121 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -366, -300, -236, -174, -114?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.06 at most as big as -42696?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 62\/3. Let r be 4\/10*300\/(-10). Which is greater: r or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*r**2 - 12*r**2 - 1 - 13*r**2 + 4*r**2.\nAnswer: -41*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2. Suppose 3*z = 4*z - 4*n - 9, -2*z + 2*n = -6. Let k(a) = 4*a**2 - 12*a - 18. Let m(t) = z*k(t) - 6*s(t). Find d, given that m(d) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50832 - 123894 = 3654*l - 175503 - 277575 for l.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 5) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/3950668 and 9\/3956?\nAnswer: 90865364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83 - 26 - 30 + z - 28.\nAnswer: z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 12 - 2 - 2*w**2 + w**4 - 4 - 7*w in the form s + i*w**3 + y*w + z*w**4 + h*w**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -48668222*c**4 + 28430*c**2 + 1595 wrt c?\nAnswer: -1168037328*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/(2 + 90\/(-48) - (-95)\/40). Put f, -1, 4, -4, -139 in increasing order.\nAnswer: -139, -4, f, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 473, 485, 511, 557, 629, 733, 875?\n\"Answer: w**3 + w**2 + 2*w + 469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 7 = 29. Suppose -y = -f - 2. Calculate the least common multiple of y and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 0.023?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 31 - 38 = -3*x, -2*x - 5*c = -59. Let h be (-392)\/x - 10\/55. Let k = 7 - h. What is the remainder when k is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.139*14.306\nAnswer: -1.988534","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 9*d + 4. Let m = -2176 + 2167. Let p(s) = -17*s - 9. Give m*i(n) - 4*p(n).\nAnswer: -13*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7306.\nAnswer: 2, 13, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 174 divide 2118276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*l*p**3 - 4900*l*p**2 + 640*l + 2 wrt p?\nAnswer: -6*l*p**2 - 9800*l*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 110\/4*3240\/2025?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**5\/3 + 80*u**4\/3 - 122*u**3 + 568*u**2\/3 - 280*u\/3 = 0. What is u?\nAnswer: 0, 1, 2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -2\/85, 0.3, -1\/7, -0.03?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r - 4 = 12*r. Suppose -2*h - 6 = -2*d, -r*h - 2*d + 8 = -6. Solve 2*k = -q + 3, -3*q = -0*k + h*k - 13 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -26181190545 and 92?\nAnswer: 26181190637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-23 - (44 + -49 + 1 + -2)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3883.5 - -3884. Which is the third smallest value? (a) -5 (b) -20\/7 (c) y (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 161*t - 13. Let a(s) = 81*s - 6. Calculate -5*a(g) + 2*h(g).\nAnswer: -83*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 7*f**2 + 9*f + 3. Let p be i(7). Let q = 18 - p. Let v be 2\/3 + q\/81. Which is greater: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*z + 3*x = -55*z - 18, 5*z - x = -1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 4*b - 5. Let d be x(13). Let c = 164\/3 - d. Find the common denominator of c and (0 - 159\/9)\/(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 158.9 - -1.1. Let y = a + -159.883. What is y rounded to two dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u - 56. Let j(r) = -3*r + 225. Let q(d) = 4*j(d) + 15*t(d). What is the least common multiple of 27 and q(-14)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -51.49 + 0.49. Let u = k + 51.012. Let z = u - 0.212. Which is the third biggest value? (a) 2 (b) z (c) 0.2 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 56*n - 4026. Let b be y(72). Solve 6*x - 5*v = -3, -2*x - 18 = -2*v + b*v for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -47*g + 50*g - 8, 15 = 5*k + 5*g. Solve 0 = -3*i + 5*n - 10, -5*i - k + 31 = n for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46820 = 32*t - 36668. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/137 + 263\/1507. Let g = 14\/5 + -89\/30. Which is the third smallest value? (a) r (b) -0.3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1235459.5*0.06\nAnswer: -74127.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 10:35 AM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2041*h**3 - 55*h**2 + 4*h wrt h.\nAnswer: -12246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 e when three letters picked without replacement from vvvjvjevjvve.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*j**4 + j**2 - j**2 + 27 - 26 with respect to j.\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 646 - 110. Let i = 295 + z. What is the remainder when i is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/21 - 12\/(-42). Suppose 2*p + 4 = 4*g, q*g - 4*g = -p - 4. Let u be -3 - -31 - (p - 0). What is the highest common factor of u and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3152961\/211 equal to 14942?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/8058 and 45\/2.\nAnswer: 8058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/2 of a kilogram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 86*i**2 - 22*i - 99. Let z be w(-4). Suppose -42*g - 147 = -z. Solve -9*t - g = 16 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4292557, 4292721, 4292885, 4293049, 4293213, 4293377?\n\"Answer: 164*d + 4292393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 54 + -100?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z + 8*z**2 - 7*z**2 + 191 + 0*z**2 + z**3. Is b(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 196 + -186. What are the prime factors of 221 + (15\/v)\/(9\/(-6))?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*h - 16*h + 52*h - 22*h - 3*h**3.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 5*l + 14, -2*l = 7*z - 4*z - 1. Solve 12 = -z*d - d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of g**3\/9 + 7*g**2\/3 + 40*g\/3 + 44. What is n in d(n) = 0?\nAnswer: -10, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*o + 11*o + 15*j = 33*j - 326, 5*j = -3*o + 93 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 15\/86, 30.2, -2.\nAnswer: -2, 15\/86, 1, 30.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(-15\/2)*c)\/(c*c*c**(-2)))\/(c*c**1)**(-9\/7))**12 assuming c is positive.\nAnswer: c**(-246\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 24, 182, -5, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247465 is divided by 247465.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 13 + 139 = -3*u, 4*u = 5*g - 151. Suppose -5*b + 61 = -2*l, 0 = 9*l - 12*l - 9. What is the least common multiple of g and b?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 12, 2\/5, -31, 46?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -4*r**2 + 5*r - 2. Let j(z) = -z**2 + z - 1. What is -2*h(s) + 6*j(s)?\nAnswer: 2*s**2 - 4*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 6, 23, -14, -54, -3 in decreasing order.\nAnswer: 23, 6, -2, -3, -14, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1641*m - 11408 - 49849 - 74880 = -17985 for m.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, y: 9, o: 4}. What is prob of sequence yo?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*z**3 + 104*z**2 - 104*z**2 + (-3*z + 2 + 8*z**2 - 7*z**2 - 3*z)*(635*z - 1364*z + 583*z) as g + x*z**2 + j*z + d*z**3 and give d.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1535 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2880)*-1*1 + sqrt(2880)*-1*-2)\/((sqrt(108)\/sqrt(3)*4)\/(sqrt(256)\/sqrt(4) + sqrt(4))))**2.\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 92 + -34. Let j = 62 - t. Suppose -4*b - 5*i + 19 = -26, j*i - 44 = -4*b. Calculate the lowest common multiple of 4 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46055 * 0.13\nAnswer: 5987.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 860\/15*297\/(-396).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, p: 5, b: 1}. Give prob of picking 1 b, 1 k, and 1 p.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/170387 and 26\/3918901.\nAnswer: 3918901","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**3 + 5*i**2 - 5*i. Let q(f) = -6*f**2 + f**3 - 17*f**2 + 26*f**2 - 3*f. Suppose 0 = -5*t + 13 + 2. Determine t*a(m) - 5*q(m).\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 9:43 AM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4*q + 51. Let y(z) = -5 - 1 - 8*z + 0. Let l(f) = -23*f - 17. Calculate q*y(v) - 6*l(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4714 - -4751. Is 200 <= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 10*c + 14. Let q(j) = -52 + 3*j - 10*j + 101 - 58. Let n(l) = -7*q(l) - 5*z(l). Calculate n(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 2*f - 10 = -6, -8 = -n - 2*f for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8407 + 15576. Calculate the highest common factor of 107 and g.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-2) - (5 - (-264)\/(-48)). What is q in 0*q + 1\/3 - 1\/3*q**x = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -q**2\/2 + 5*q - 9\/2 = 0.\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(1053) - sqrt(1053)*2*-4 - sqrt(1053)) + sqrt(1053) - sqrt(1053))*-2*-1)**2 + 4.\nAnswer: 269572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(156) - (-3*sqrt(156) + sqrt(156))))\/sqrt(12))**2.\nAnswer: 2925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 48 - 32 = 0. Let p = r - -10. Is ((-4)\/(-10))\/(p\/(-550)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 56\/(-9) - -6 - (-70)\/(-9). What is the nearest to -2 in -2\/21, -2\/5, z?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 313485?\nAnswer: 3, 5, 20899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 3 = 5*m - 1, m = -2*s - 4. Let h(y) = y**2 + 2*y - 3. What is h(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 321182*c**4 - c**3 - 5606*c**2 - 2*c - 11.\nAnswer: 7708368*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*v - 28*v - 207 - 161 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 24 = -2*g, -5*g - 3*u = u - 30. Is g even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.2*-0.8\nAnswer: 5.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*((g*g\/g**(-2\/39)*g*g)\/g)\/g)\/(g\/(g*((((g\/g**(1\/34))\/g)\/g)\/g)\/g))*(g**19)**(5\/4))**(-31) assuming g is positive.\nAnswer: g**(-1954333\/2652)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, 5\/2, -0.5, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4648?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 186573 - 23?\nAnswer: 186550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.322 and -0.2.\nAnswer: 0.0644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -162000, -162318, -162854, -163608, -164580?\nAnswer: -165770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-32))**(1\/2)*(w*w*w**(-2\/21)*w)\/w**(-1\/12) assuming w is positive.\nAnswer: w**(-1093\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.08, -1, 21, -0.06?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19 in 3, -5\/3, -7, -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -2251 (b) 5 (c) -231\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 + 55 - 12) + 14 + -23?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -0*j - 20 + 26 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 + 14*b + 6. Determine r(15).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 39*b - 19. Is w(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - k**2 + 25*k - 179. Determine m(0).\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 194292 divided by -2.\nAnswer: -97146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 2*t = 2, t - 3 = -5*p + 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of -173*o**8\/42 + o**4\/3 + 17*o**3\/2 + 980*o**2. What is the second derivative of w(k) wrt k?\nAnswer: -27680*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77153 is divided by 38570.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7832 is divided by 28?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 2264*y**3 + 20 + 18 - 57.\nAnswer: 2264*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1456856?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -19, -42, -73, -112?\nAnswer: -159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 111 - 49. Let d = x - 29. Let o = -32.6 + d. Sort o, 0, -2\/13 in increasing order.\nAnswer: -2\/13, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 61916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 104447 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: 20 + -15 + (2 - (-1 - 0))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -5*f**2. Let a(c) = -163*c - 156*c + 318*c. Calculate a(i(w)).\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8 + 14\/(-7))\/15. Let a = -1.2 - -6.2. Sort 0.2, g, a.\nAnswer: 0.2, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, -5, 1\/3, 0.06?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304987688?\nAnswer: 2, 3037, 12553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1394363?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7 (b) 4 (c) 11 (d) -0.05 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/b**(1\/2))*b**(2\/11)\/b)\/((b*b**6*b)\/(b*b**(-1\/5)*b)))\/((b\/(b*b**(-1\/2))*b)**(-38)*b**3\/b**4) assuming b is positive.\nAnswer: b**(5663\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 2:03 AM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 0.07, -2\/11, 2.25, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 5*o**2 - 19*o - 488. Let z be n(12). Solve 4*q - g + 26 = g, 2*q - z*g + 28 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 + 19. Suppose 13 = -a*d + 5*n, 3*n + 1 = 4*d - 0. Suppose d = -3*y + 1. Which is smaller: -1\/14 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 9 = -m, -3*m + 6*m = -q + 23. Suppose -61*h + 10 = -59*h. Suppose -m*r + p + 591 = -r, 3*r = -h*p + 349. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5997, 11105, 16213, 21321?\nAnswer: 26429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -21388019 times 13?\nAnswer: -278044247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94 divided by -2.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 395902 is divided by 178.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**2\/g)\/g)**(10\/9)*g*g**(1\/39)*g**(-2\/9) assuming g is positive.\nAnswer: g**(94\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1069736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*a - 122 = 171 + 217. What is the nearest to 4\/7 in a, 1\/3, 4\/3, -2\/11?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*r - 105 = 61*r. Let a = 482 - 482. What is the biggest value in 31, a, r?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -198076 greater than or equal to -198074?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 101, 124, 151, 182, 217?\n\"Answer: 2*b**2 + 17*b + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1088 a factor of 280488576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 2*d - 1. Calculate p(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/2 - 74*z**2 + 417*z\/2 + 1305.\nAnswer: (z - 145)*(z - 6)*(z + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.53*298.\nAnswer: 157.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 247 = k, -5*u = -0*u. Let m = k - -349. Does 34 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1\/3, -5, 15\/2, 1 in decreasing order.\nAnswer: 15\/2, 4, 1, 1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 4*g = 0, 0*f = -5*f + g. Which is smaller: f or 1\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-3))\/((-1444)\/(-29241))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3 - 3 + j)*(-2 + 2 - 2)*(6 - 3 - 2) in the form h + w*j and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 24*a. Let y be w(1). Let r(h) = 2*h. Let x be 4\/(3\/12*2). Let s be r(x). Calculate the greatest common divisor of y and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -212 - -11238\/53. Let r = q + 45\/212. Which is the closest to r? (a) -2\/9 (b) -1\/3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -753, -1369, -1985, -2601, -3217, -3833?\n\"Answer: -616*i - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211822404.\nAnswer: 2, 3, 2797, 6311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 4220381760941192*k**2 + 183747256*k + 2 = 0. Calculate k.\nAnswer: -1\/45936814","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 645183405 to the nearest integer?\nAnswer: 25400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 5:50 PM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.034277 - 1?\nAnswer: -1.034277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1371 (base 13) to base 7\nAnswer: -11103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 17*2\/4 - (-17)\/(-34). Find the second derivative of t*v - v + 33*v**4 + 18*v wrt v.\nAnswer: 396*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6546435cm to millimeters.\nAnswer: 6.546435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.96, 1\/4, -0.2, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04519988163 to five dps.\nAnswer: 0.0452","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 14184440, 14184439, 14184438, 14184437?\n\"Answer: -r + 14184441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105916064 divided by 23516.\nAnswer: -4504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22530612 by -13.\nAnswer: 1733124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g. Let v(b) = -21*b + 41*b - 19*b. Let a(l) = -j(l) - 4*v(l). Let f(z) = 2*z**2. Give f(a(u)).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - 10. Suppose 0*p - a + r = 2*p, 5*p + 3*a = 24. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, w: 2, l: 6, f: 3, s: 3}. What is prob of sequence fzlw?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0084454 rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, b: 1, j: 6, r: 6}. What is prob of sequence jrj?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fv when two letters picked without replacement from {i: 5, v: 1, w: 1, z: 4, p: 2, f: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1))**(-44)\/(n**(2\/25)\/n*n*n\/(n\/n**(3\/5))) assuming n is positive.\nAnswer: n**(1083\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 427 - 0.15003.\nAnswer: 426.84997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360) - (sqrt(360) - sqrt(360)*-2))\/sqrt(8))\/(sqrt(225)*4).\nAnswer: -sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -24 + 48\/6*4*(-36)\/96\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4*l. Let r(a) = a + 2. Let o be r(14). Let q(n) = -7*n**2 - n + 17*n - o*n. What is q(i(v))?\nAnswer: -112*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162915?\nAnswer: 3, 5, 10861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18465*q**6 + q**4 + 10*q**2 + 30*q + 3 wrt q?\nAnswer: 2215800*q**3 + 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.76 + -1.2. Let w = c + 0.14. Let y = w - 0. What is the smallest value in 0.3, -5, y?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 471\/2 + -2349\/10. Let g(b) be the first derivative of 0*b - k*b**5 + 0*b**4 + 2*b**3 + 0*b**2 + 7. What is the third derivative of g(h) wrt h?\nAnswer: -72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*u - 4*u + 3*u)*(-5 + 1 + 2) + u + 0*u - 3*u)*(0*u**3 + 14*u**3 - 1347 + 1348).\nAnswer: -84*u**4 - 6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/5)\/w)\/w)\/w**(-8)*(w**(2\/3)\/w)**(-23)*(w**(-3)\/(w\/w**7))\/((w\/(w*w*w\/(w*(w**(-1\/3)*w)\/w*w)*w*w*w))\/((w*w**(-1\/3))\/w)) assuming w is positive.\nAnswer: w**(298\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1 (b) 28 (c) 2\/5 (d) -3 (e) -13 (f) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 2)*(1 + 7 + 1)*(-2373479*n + 2373479*n - 2*n**2 + 1528*n**4).\nAnswer: -13752*n**4 + 18*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 30070 divided by 3007\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) -4 (b) 2 (c) -366.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-44) - 6\/(-33). Put 1, b, -1 in decreasing order.\nAnswer: 1, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (-1 + (-9 - -5 - 4) - -11)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*((-77)\/(-15) - 5).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 907*c - 11621. What is d(13)?\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 2\/87, 0.5, 3, -16.6.\nAnswer: -16.6, -5, -4, 2\/87, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 11:27 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 312994711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -4*g - 1. Let d be q(-1). Solve 0*p + 2*p - x - d = 0, 0 = 2*p - 2*x - 8 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/7 + 46099*h\/7.\nAnswer: h*(h + 46099)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q + 4. Let l be u(5). Let y be 84\/285 + 2\/(-5). Let x = 0.22 + -0.12. Which is the nearest to l? (a) y (b) x (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - 1)\/((-18)\/300). Let m = f + -29. Calculate the remainder when 41 is divided by m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide (-2)\/(-6) + (-614)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (29 + 1)\/(-46 + 49). Let s be ((-4)\/u)\/(1\/(-10)). Solve 0*l - l = -4*b - 11, -4*b - 4*l = -s for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 16*i**2 + 22*i - 88. Let d(m) = -9*m**2 - 10*m + 44. Let b(l) = -7*d(l) - 4*n(l). Give b(-18).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/15274 and 117\/70.\nAnswer: 76370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 2*q - 2. Let f be y(1). Suppose -3*u - c = -12, -c - 3 = -u + f. Suppose 0 = -5*l - 3*t + t + 17, 12 = u*l + 2*t. Sort -4, 9, l.\nAnswer: -4, l, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5571314*w**3 - 2*w**2 - 32116194*w?\nAnswer: 33427884*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of i**6\/200 - 99*i**5\/100 + 48*i**4\/5 - 38*i**3 + 1455*i**2. Factor r(g).\nAnswer: 3*(g - 95)*(g - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(78)*1)\/sqrt(3))\/sqrt(2))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3*f**3 - f**3 - 5*f**3)*(-3*f + 8*f - f).\nAnswer: -12*f**4 - 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 419238*i**2*l + 131714286*i**2 - 111*i*l**2 wrt l?\nAnswer: 419238*i**2 - 222*i*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2*(-4 + 1*(-4 + sqrt(5))))**2 + 2.\nAnswer: -68*sqrt(5) + 311","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25*32.2.\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -977*m**6\/10 + 2813*m**2\/2 - 515*m. What is the derivative of w(k) wrt k?\nAnswer: -11724*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210 divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -4*h - 2*o, 20 = 4*h + 18*o - 22*o for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3094192us in seconds?\nAnswer: 0.0000003094192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**10\/(j*j*(j*j*j*j*j**(-10))\/j*j*j))\/(j**3*j)**12 assuming j is positive.\nAnswer: j**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1061*x**3 - 633*x**3 + 104*x**3 + (-x + 3*x - 4*x)*(-x**2 + 0*x + 0*x) + x**3 - x + x - 2*x**3 - 5*x**3 + 5*x**3.\nAnswer: -1589*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256 is divided by 163.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.109503 - -1.\nAnswer: 0.890497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-5) - 0\/3. Suppose 11*v = -4*k + 12*v - 10, -25 = 5*k + 5*v. Which is the closest to d? (a) 0.5 (b) k (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence obob when four letters picked without replacement from {o: 3, q: 4, b: 6}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 21527 - 3838 = 0. Let v be (-3)\/(2 + w\/2538). Let z = -10249\/4 - v. Find the common denominator of 29\/10 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-160)\/5000)\/(3*(-4)\/(-30))?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/4))**(-1\/5))**(34\/3) assuming d is positive.\nAnswer: d**(17\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 246304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d, 1 m, and 1 a when four letters picked without replacement from {d: 4, a: 4, y: 1, m: 1}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d - 9. Let w(v) = 2*v + 8. Let o(i) = -2*p(i) - 3*w(i). Let n be o(-2). Sort -4, n, -6.\nAnswer: -6, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**3 + 1356*a**2 - 126321*a + 2692962 = 0. Calculate a.\nAnswer: -534, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x - h + 14 = 0, -3*x + 24*h = 30*h + 15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 234 and 16198?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21390*h**6 - h**2 - 783*h - 5?\nAnswer: 2566800*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/2*((-16)\/4)\/24.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**5 + 3*b**3 - 3*b**3 + (-2*b**3 - 4*b**3 + b**3)*(-b**2 - b**2 + 5*b**2) + 3*b**3 - 2*b**3 - 2*b - 70*b**5 + 60*b**5.\nAnswer: -28*b**5 + b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 - 1 = -a - 3*p, -13*a - 66091*p + 66089*p = -17 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2488\/7 + 356. Sort 3, m, -1\/7.\nAnswer: -1\/7, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/6*29\/290.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.02 - 0.92. Let l = -0.08 + -3.92. Let x = 18\/5 + -59\/15. Which is the nearest to z? (a) x (b) 1\/3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-367)\/(-1468))\/(1\/(-16))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -113 + -5 + 47 - -57\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1751 is divided by 347?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 150 (c) -8\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2 - 7732*o - 15448.\nAnswer: -4*(o + 2)*(o + 1931)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1320210635 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/26 and -73\/30.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 11\/((-11)\/6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = f - 2*f, f = x - 12. Suppose 6*z + u = x*z - 1013, 2*z - 4*u = 510. What are the prime factors of z?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14575078*y*z + 4729470*y wrt z?\nAnswer: 14575078*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0929590844 to three dps.\nAnswer: -0.093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9800, 19611, 29426, 39245, 49068, 58895?\nAnswer: 68726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*c - 193*c = 7*c + 370*c + 25795 for c.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/9 (b) 35 (c) -1\/6 (d) 5 (e) -5 (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5*z + 1684 = 0, 2*i - 5*i + 1286 = 2*z. Calculate the remainder when i is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -161 + 228. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*k + 41*k + 46*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p**3 + 2. Let a be x(-2). Let h be a\/(-8) - 19\/(-76). Solve f = h*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*1)\/((-1)\/(42\/(-28))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -646 - -939. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 368, -0.6, 4?\nAnswer: 368","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*v + 828 - 1516 = -353*v + 1334 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/27 of a day in seconds?\nAnswer: 25600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 375\/352 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162 = -122*n + 95*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of 3 - 1\/2*f**2 + 0*f + 1\/5*f**5 + 0*f**3 + 0*f**4. What is the second derivative of m(i) wrt i?\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -i**4\/12 + i**3\/6 - 6*i**2 - i - 64. Let c(v) = v**2 + v - 2. Let u be c(-2). Determine m(u).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-2) + (-208)\/(-36)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*y**2\/5 + 58*y\/5 - 102\/5.\nAnswer: -2*(y - 3)*(4*y - 17)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19485 is divided by 96.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/1434210 and -2\/111.\nAnswer: 53065770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000073240721 rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 102212 - -22122?\nAnswer: 124334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*i - 100*i = 90 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 + -32.2. Let a = b - -3. Let y = a - -0.2. Do 5 and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 442266059?\nAnswer: 19, 523, 44507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 419a01 (base 12) to base 7\nAnswer: 11531554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3 + sqrt(176))*6 - (sqrt(176) - ((sqrt(176)*-3 - sqrt(176)) + 4)))*-2)**2.\nAnswer: -448*sqrt(11) + 1488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 8:33 AM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1662.\nAnswer: 2, 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 546597?\nAnswer: 3, 60733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1044 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 9. Let w = 5 + c. Solve -d + w*d = -16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74031*f + 100697*f + 28781*f.\nAnswer: 203509*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nns when three letters picked without replacement from nsnnsnns.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s - 2. Let g be o(-2). Let x be (-2 - g)*(-10)\/(-8). Suppose -2 = 3*v + 2*w - 3*w, -3*v = -x*w + 10. Solve v*q + 4 = 2*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/2020 and 41\/4646.\nAnswer: 46460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 98959584.4 rounded to the nearest 10000?\nAnswer: 98960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**2\/11 + 1434*k\/11 + 1432\/11 = 0. Calculate k.\nAnswer: -716, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*x**2 + 3356537*x + 414786777 with respect to x.\nAnswer: 8*x + 3356537","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/9*194184\/(-1855536).\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x - 2. Let f be b(4). Suppose f*j = 3*j. Suppose j = -3*c + 20 + 94. List the prime factors of c.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 424170795 - -3.\nAnswer: 424170798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 1175 + 295. What is the highest common divisor of 11 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104856.\nAnswer: 2, 3, 17, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 1588.\nAnswer: -1\/397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.124 - 12.976. Let b = -13 - v. Sort b, -0.1, 2\/5 in decreasing order.\nAnswer: 2\/5, b, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*2\/3 + -5 + 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-550)\/88 + (-10)\/(-8). Let m = -5 - -7. Which is the second smallest value? (a) -0.5 (b) m (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10001 - 1?\nAnswer: 10000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30701*u**2*y**2 - 2*u*y**2 + 496*y**2 wrt u.\nAnswer: 61402*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -v**5\/120 + 2*v**3\/3 - 1. Let d(g) be the third derivative of i(g). Let y(a) = 2*a. Determine d(y(o)).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3115088*h**2. Let l(d) = -3*d. What is l(y(q))?\nAnswer: -9345264*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/125*(-20)\/(-8)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/23)\/(2376\/(-792)*5\/(-3)).\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aj when two letters picked without replacement from zjaajajaaaaaajazza?\nAnswer: 22\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -1163, 2, -3\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40978 + -40979. Let j = -0.3 + 0.1. What is the nearest to -0.2 in j, 1, w, 0.19?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a\/a**8))\/(a\/a**(1\/25)))\/(a\/((a**10*a*a)\/a))**(1\/6))**19 assuming a is positive.\nAnswer: a**(12407\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -205 divided by -5.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 174 divided by 6\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -12087324 divided by -2014554?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 n, and 1 x when three letters picked without replacement from zzvnzvztxzztzxztzxn?\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-4 - 3) - 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1434 and 84.\nAnswer: 20076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 4:08 AM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -370982, -370981, -370980?\nAnswer: -370979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -40\/7 (b) -4\/3 (c) -370\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 7*w + 1. Suppose 2*a - 270 = -3*f - 103, 0 = -w*f + 2*a + 232. Let t = f - 56. Calculate the smallest common multiple of t and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69932*f**3 + 137294*f**3 - 67363*f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18512 and 23645520.\nAnswer: 1424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 10*r - 170. Calculate the least common multiple of v(18) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 19 = 4*t, -3*t - 2*t = 11*o - 0*t - 14 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 69280.\nAnswer: -3\/69280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - 9 = -30. Suppose 5*a + 6*q - 1155 = 5*q, -a - h*q = -245. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1552*z - 2745*z + 1641*z = -52864 for z.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 21123023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 a factor of 4763085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -3*t - 197103, 164*w - 160*w - t - 262831 = 0. What is the ten thousands digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 11, -5, 5 in decreasing order.\nAnswer: 11, 5, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 35 = 5*u, 49*u + 13 = 5*m + 51*u. Solve 0 = -3*b + t - 8, 2*t + 17 = -m*b + 22 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 12, 13?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163924*r**2 - 14371*r + 14371*r.\nAnswer: -163924*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11820 to the power of 1\/2, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -65*a - 261. Give h(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12624?\nAnswer: 2, 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76107009?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(-1) + 3\/3. Let f(k) = -9*k + 9. Let m be f(-9). What is the highest common factor of l and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 80614956?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -410, 2, 4, -3 in increasing order.\nAnswer: -410, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*q**2 + 93*q**6 - 39*q**2 + 13157*q**4 - 13157*q**4 wrt q.\nAnswer: 11160*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 22*a**2 + 2*a + 1. Let y be m(-2). Suppose -y*g = -83*g - 1402. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 117587 by -6.\nAnswer: -117587\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(8*p + 3 - 5 - 13*p).\nAnswer: 5*p + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2590809*y**5 - 11325110*y?\nAnswer: 51816180*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -309235541\/18 + 17175065. Let p = v - -4680. Calculate the common denominator of p and 95\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sx when two letters picked without replacement from xsxxsssxss.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-9))\/((26\/(-273))\/1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3*d - 2. Let f be r(-1). Suppose 0 = o - 5 + f. Is ((-53)\/o)\/(7\/(-28)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -8*d**2 + 12. Let k(y) = -y. Give h(k(v)).\nAnswer: 16*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 4, -129, -9\/5, -5, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/4 (b) 5 (c) -0.4 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3144*f - 2. Let t = -199 - -198. Let r be i(t). Round r to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -333 + 4997\/15. Let v = -57.9 + 58. Sort k, 2, v in increasing order.\nAnswer: v, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 8 + 130*b.\nAnswer: 130*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137*u**2 + 88*u**2 + 54*u**2 - 91*u**2.\nAnswer: 188*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1555a (base 11) to base 9\nAnswer: -33116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -737.3 + 478?\nAnswer: -259.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u + 2 = -23*u. Let t be u\/((-18)\/27 - (-1)\/(-3)). Let q(w) = 7*w. Calculate q(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**2 - 3*w + 3. Let v(b) = -b**2 + 5*b - 4. Let m be v(3). Let r(j) = 5*j + 2*j**2 - 3 - m - 5*j**2. Let q = -5 - -10. Give q*d(a) + 3*r(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/((-378)\/(-8)))\/((-8)\/12)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 7*t**2 + 2*t + 8. What is the tens digit of d(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 842.9467ug?\nAnswer: 0.0000000008429467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 9876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of o**3\/3 + o**2\/2 + o + 1. Let m be j(-1). Suppose -57*d + 50*d + w + 36 = 0, -d + 5*w + 10 = 0. Solve -d*g = -m - 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -781.59829 to 1 dp.\nAnswer: -781.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) 5\/2 (c) -4771 (d) 0.2 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*h - 709 = 595 - 424 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 264562?\nAnswer: 26455b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of 3*q**7\/14 - q**4\/2 + 13*q. Find the third derivative of z(h) wrt h.\nAnswer: 540*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 5*p - 2*d - 115 = 0, 3*p = d + 68. Let n be (p\/(-4))\/(3\/(-8)). Suppose -i + 0 + 6 = -z, z = 3*i - n. Sort -4, 2, i in descending order.\nAnswer: i, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 118390 - 18468947\/156. Find the common denominator of n and 87\/20.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (12 - 8 - 6)*(11*w - w + 4*w) in the form f*w + v and give f.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -31\/15*r**6 + 4 - 1\/6*r**4 - 1\/21*r**7 + 0*r**2 + 7\/6*r**3 + 0*r**5 + 48*r. What is the third derivative of q(k) wrt k?\nAnswer: -120*k**2 - 1488*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-3)*a\/(a\/a**1)*a*a)\/(a**0*(a**(1\/8)*a)\/a))\/((a**(-2)*a)\/a**(3\/5)*(((a\/(a\/a**(3\/4)))\/a)\/a*a)\/(a*a**2)) assuming a is positive.\nAnswer: a**(189\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2919 and 2283631.\nAnswer: 973","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15332587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/4 of a day in minutes?\nAnswer: 26280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11231 and 3883451.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.058 less than -0.1?\nAnswer: -0.158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 155 divided by -49413\nAnswer: -155\/49413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 56c3850 - -1?\nAnswer: 56c3851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 9*c**2 - 10*c + 4. Let t be q(10). Suppose -t*i = -i - 75. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -379*d*x - 4*d + 139876*u*x - 738785*u wrt x?\nAnswer: -379*d + 139876*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2872623031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0 (b) 50819 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.429 - 0.001. Let v = 0.07 - r. Which is the closest to 0? (a) -0.4 (b) v (c) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 45616*o**4\/5 - 179876*o**3\/5 + 172112*o**2\/5 + 10352*o\/5 = 0. Calculate o.\nAnswer: -647\/11404, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -3. Let z be 3\/(-5 + 2)*a. Let o be (z + -5)*6\/9. Is -2 > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -443, -881, -1317, -1751, -2183, -2613?\nAnswer: -3041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 15230000 to the nearest 1000000.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 17\/4 of a day?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 88*j**3\/9 + 1724452*j**2\/9 + 2816049712*j\/3 + 42667024 = 0.\nAnswer: -9798, -1\/22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 2 (c) 3 (d) 4\/5 (e) 70\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 569568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -107*t**3*v**3 + t**3*v - 14*t**2*v**5 + 10027*v wrt v.\nAnswer: -642*t**3*v - 280*t**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kwlllwelllewwelw. Give prob of picking 2 l.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 13, 0.1, 86?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 3 + (-8 - (-15 + -5))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -3*q - 4*g, 2*q - 3*g - 14 = 7. Let s = -51 + 55. Find the second derivative of q*r**4 + 5*r - 4*r**4 - s*r wrt r.\nAnswer: 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) - sqrt(364)\/sqrt(7))\/sqrt(4) + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 5*q + 15, n + q + 3 = -0. Suppose n = -3*f - 0*f + 54. Is f a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-2*(sqrt(112) + 0))**2 + (-5*(sqrt(112) + (sqrt(112) + 0 - sqrt(112))))**2 + 4)*-2.\nAnswer: -13008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 24*r - 1002. Calculate p(40).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s**3 - 6*s**2 - 6*s + 3. Let a(z) = -4*z**3 - 13*z**2 - 13*z + 7. Determine 6*a(c) - 13*h(c).\nAnswer: 2*c**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 95.379 - 99.53. Let j = x + -0.049. What is j rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 35957 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (138\/17710*-11)\/(6\/2*36\/(-378))\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 * -169.35.\nAnswer: 1693.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 12 = -3*a, -2*o = a - 5*o - 12. Let v be 6\/2 + 4 + -5. Let y be (v + a\/(-4))*2. Sort y, 0, 4 in ascending order.\nAnswer: 0, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, 0, -2, -4 in descending order.\nAnswer: 0, -2, -4, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gvv when three letters picked without replacement from {v: 2, t: 6, g: 4}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1015 + 1014. Let c be (-2)\/(-3) - 22\/15. Let i = c + 6\/5. What is the smallest value in i, 2\/11, 4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -21*r + 1. Let a be q(-1). Let s be 5\/(-5) + 12\/4. What is the greatest common factor of a and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001497 rounded to six dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b**5 - 106*b**4 - 134*b**3 + 2938*b**2 - 820*b - 1872 = 0.\nAnswer: -13, -9, -2\/3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*z = 26*z + 55. Suppose z*o - 3*o = 16. Which is the nearest to 1? (a) o (b) 7 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 4*s - 89 = -8*y, -225 = -3*y + 2*s. Let q = y - 76. Sort 5, 0, q, -1 in ascending order.\nAnswer: -1, 0, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(165\/36)*(-270)\/(-72) + 70\/(-12)?\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2 + 4*v**3 - 4*v**2 + 2*v - 4 - 7*v. Let u = 2 + -4. Let l(z) = -2*z**3 + 2*z**2 + 2*z + 1. Let q be 1 + -8 + 2 + 0. Give q*l(y) + u*m(y).\nAnswer: 2*y**3 - 2*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ry when two letters picked without replacement from yrrr?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10588603?\nAnswer: 17, 139, 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -11502 (base 6) in base 10?\nAnswer: -1694","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 62478 + -58146.9. Round w to the nearest one hundred.\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34946040987334 + 0.5\nAnswer: 34946040987334.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z + 212. Let c(i) = 3*i. Calculate c(q(b)).\nAnswer: 6*b + 636","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -0*g + 1. Let r = 15 + g. Let s be 6\/(-9) + 100\/6. What is the greatest common factor of s and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1709290*o**2*p**3 + 3*o*p**3 - 207*o*p - 2*o - 3*p**2 - 4 wrt o.\nAnswer: -3418580*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 w when two letters picked without replacement from ggwwgwfgggggwgwggw?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 226, 227, 228, 229, 230, 231?\nAnswer: 232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 121540 and 354.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -19 - (28 - (7 - -14 - -16)) - 1\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.43 - -0.57. Which is the closest to 0? (a) d (b) -3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -28*b**2 - 76*b + 6. What is w(-3)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -75 - 69.05.\nAnswer: -144.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1880?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -413?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51268*c + 51176*c = -3312 for c.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/2)\/(-1 + 3\/6). Is 15 a factor of (2 + 4 + -96)\/b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 1, 2\/9, -48?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(76) - 5*sqrt(76)*3)\/sqrt(4).\nAnswer: -14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 89193.28l in millilitres?\nAnswer: 89193280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 6:16 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-21)*r*r**0*r assuming r is positive.\nAnswer: r**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20 - 54 + 73 - 996*d**2)*(2 - 1 + 1) in the form p*d**2 + v*d + g and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*c + 326*k - 329*k + 33 = 0, -c = 3*k - 33 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 5. Suppose 0 = -0*m + 2*m - l. Suppose m*w = 4*w - 6. Is w a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -952, -1628, -2304, -2980?\nAnswer: -3656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 45599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-32 + -7 - -28).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -508.\nAnswer: -5\/508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 76772 by 5.\nAnswer: 76772\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 672771*f. Let q(a) = -73*a. Calculate q(w(j)).\nAnswer: -49112283*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 337614770?\nAnswer: 2, 5, 53, 211, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -264473, -529011, -793615, -1058285, -1323021, -1587823, -1852691?\n\"Answer: -33*v**2 - 264439*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -18485*y - 8614000. What is n(-466)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -924.116 - 10.\nAnswer: -934.116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) -4 (c) 34 (d) 0.14 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, w: 1, v: 2, s: 1}. What is prob of picking 1 w, 1 n, 1 v, and 1 s?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 876457173 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**2 + 6*c - 54. Let m be t(4). Let b(q) be the first derivative of 2\/5*q + 2\/15*q**3 - 2\/5*q**m + 1. Solve b(i) = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -4, 2\/27, 0, -2?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1051, -1093, -1135?\n\"Answer: -42*b - 1009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -29\/3 in descending order.\nAnswer: -1, -3, -29\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 644 - -1. Let n be (-248)\/u - 12\/(-30). Let k = 80\/387 + n. Which is the closest to -1? (a) 0.5 (b) -0.2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57, 511, -5 in decreasing order.\nAnswer: 511, 57, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 1)*(4 - 1 - 2)*(-m + 4 - 4).\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 285\/2394*(-1 + 13\/15)*-6.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-27*6\/4*-32*3\/216).\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 96747 minus 1155344731?\nAnswer: -1155247984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, l: 1, j: 7}. Give prob of sequence jcjl.\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 39 = 3*u - 8, 5*n + 1 = u. What are the prime factors of u?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 183\/(-558)*-3 - 0 - (127 - 126).\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w - 3. Let q be y(2). Suppose q = 5*u - 14. Solve 2*g = 5*r - u*r, -r + 5 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 297 less than 0.3?\nAnswer: -296.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 48 = -a, -4*a - h + 38 = 167 for a.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 452927003?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.54? (a) 1 (b) 263 (c) -1\/5 (d) -0.13 (e) -2\/11 (f) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -88*m**2 - 28590*m + 3248. Determine p(-325).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -94939924 + -14716\nAnswer: -94954640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.4601 and 0.4?\nAnswer: 1.78404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.0851224ml?\nAnswer: 0.0000851224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/15*-1*(-5)\/(-10)*8?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 19 = -5*q, q + 3634*o + 65 = 3638*o for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -337, -707, -1119, -1579, -2093, -2667, -3307?\n\"Answer: -k**3 - 15*k**2 - 318*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**2. Let h(f) = 6*f**2 - 4*f**2 + f**2. What is k(h(w))?\nAnswer: -18*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89, -86, -83, -80, -77, -74?\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o + o - 4*o)*(2*o - o + 0*o) - 2*o**2 - 2*o**2 + 2*o**2 + (2 + 3 - 4)*(3 - 3 + 2*o**2) as q*o**2 + n + m*o and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -2*y + 20, 372*s = 370*s - 5*y + 98 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 1190.5119603 and -201.\nAnswer: 989.5119603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 8*o = 89, -46 + 70 = -4*v - 9*o - 28 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*m + 110*m - 59*m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 193\/917700 and -67\/4375.\nAnswer: 22942500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 3*j**2 + 13*j + 2. Does 31 divide x(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/2*(38907\/945 - 41)\/(12\/1736)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -3, -1\/19, -0.351, 5, 23.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 5*j + 50. Let q be j\/1 - (-41)\/8. Sort q, 0.4, -4, -1 in descending order.\nAnswer: 0.4, q, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -295 + 292. Sort 27, 2, 3, p.\nAnswer: p, 2, 3, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 374911 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14730779 by -1.\nAnswer: -14730779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9941060?\nAnswer: 2, 5, 23, 21611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 876?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xoxq when four letters picked without replacement from xxovqqxov?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -44, 1, 24 in decreasing order.\nAnswer: 24, 1, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 109 + -11. Let a = -38 + v. What are the prime factors of a?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jpp. What is prob of sequence jpp?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.7 in 2\/11, 1628, 1, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -147 by 9.\nAnswer: -49\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-7))\/w)**(-14\/9) assuming w is positive.\nAnswer: w**(-98\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -275402, -275403, -275406, -275411, -275418?\n\"Answer: -r**2 + 2*r - 275403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 2) + 2 + 20. Suppose p + y = 5*p. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -382 (base 15) to base 2.\nAnswer: -1100011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/(-15) - (-24)\/(-10) - -12. What is the first derivative of v*b - 38*b + 55 + 11*b - 53*b wrt b?\nAnswer: -71","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/4 + 1)\/2. Suppose c = 3*j + 23 - 62. Suppose -365 = -j*i + 8*i. Is 19 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -63*z**2\/5 + 136651*z\/5 - 8676\/5.\nAnswer: -(z - 2169)*(63*z - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1*(((-225)\/(-375))\/((-27)\/(-60)))\/((-6)\/27)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11776 and 368?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1228\/47593 - 2\/523. Which is the third smallest value? (a) 1 (b) -0.5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1349\/57)\/((-98)\/(-294))?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n + 322 = -29*n. Let u(a) = a**3 + 25*a**2 - 18*a - 73. Is u(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2849260771\/4609 - -618195. Find the common denominator of m and 81\/4190.\nAnswer: 46090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -80 - -84. Which is the nearest to 0? (a) -1 (b) -6 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, -5, -1\/2, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1840924 divided by -4?\nAnswer: 460231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 28*m + 193. Let l be p(-7). Which is the nearest to l? (a) 1\/3 (b) -3\/2 (c) 1\/2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 7*s + 8. Let k(m) = -7*m**3 + 3*m + 2. Let p be k(-1). Let r be c(p). Suppose j - 5 + r = 0. Sort -4, -1, j in increasing order.\nAnswer: -4, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/8*(-24)\/(-3). Let j(m) = m**2 - 3*m + n*m - 3*m. Let a(i) = -2*i**2. What is j(a(h))?\nAnswer: 4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -o - 44 - 5*o - 45 + 61 in the form j*o + l and give l.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(136)*1)\/sqrt(8)*-3 + 2 + (3*((sqrt(272)*-1)**2 - sqrt(272)) - sqrt(272)).\nAnswer: -19*sqrt(17) + 815","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 2*l - 4 = 0, -3*w + l + 28 = 29 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 18 = -17. List the prime factors of (c - -6) + -2 - 4*-23.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*p**3 + p - 2*p**3 - 3*p - 2*p**2 as m + b*p**2 + f*p + h*p**3 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 221*y**3 - 2*y**2 - 927*y.\nAnswer: 1326*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h**2. Suppose 3*r - 22 = -4*y + 10, 5*y + 3*r = 40. Suppose 0 = -3*a + 7*a - 3*t - 46, t = -2. Let l(m) = a + 6 - 18 + y*m. Calculate l(s(z)).\nAnswer: -16*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**3 + 9*l**2 - 11*l + 13. Let i(g) = g**3 - 4*g**2 + 5*g - 6. Give -9*i(b) - 4*k(b).\nAnswer: -b**3 - b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 223666410053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1211 (base 3) in base 16?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.029103144 to 5 decimal places.\nAnswer: -0.0291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 53\/5 of a meter?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus -0.2801?\nAnswer: 0.7801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 64217175 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2417367 a multiple of 843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -247*j + 225*j + 162954 = 0. List the prime factors of j.\nAnswer: 3, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10010000111110001010 (base 2) to base 11\nAnswer: -376150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 585496 and 35920.\nAnswer: 5854960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - 0.2766?\nAnswer: 0.1234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 25979, -236, 3.\nAnswer: -236, -1, 3, 25979","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51.33 - -2082.67. Let b = -2248.7 + t. Let y = b + 106. Round y to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 110\/45117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**3 + 44*u**2 + 4*u + 113. What is h(-22)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 150840 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 70, 60.7, -3 in ascending order.\nAnswer: -3, -0.5, 60.7, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 978 and 313689099.\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + d = 20, d - 4542 = 2*c - 4557 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4437462 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7581 and 2499?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1311*s + 1315*s = 7532. List the prime factors of s.\nAnswer: 7, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6442*c**3 - 4*c**2 + c + 190 wrt c.\nAnswer: 38652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11833927?\nAnswer: 7, 317, 5333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j. Let s(m) be the third derivative of -155*m**5\/12 + m**4\/6 + 7*m**2 + 67*m. What is q(s(i))?\nAnswer: -775*i**2 + 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 10:00 AM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + (0 - (-1 - 4)). Calculate the greatest common factor of 27 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*u = -24. Let c = 3 - 5. Let a be (c\/7)\/((-13)\/91). What is the biggest value in u, a, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -14. Is 2 - (-24)\/(c\/3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7112, 4734, 768, -4786, -11928, -20658, -30976?\n\"Answer: -794*d**2 + 4*d + 7902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(-2*n**2 + n**2 - n**2) + (0*n - 2*n + 4*n)*(-2 + 3*n + 2) + 3 - n**2 - 3 + 2*n + n**2 - 2*n.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**2 + 2*y - 8. What is d(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-24)\/(-36) - (-310)\/3. Suppose -3*y + 49 = 13. Let j be 0 + 4\/y*39. Calculate the greatest common factor of j and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + 0 - (-5 + 6)) + 4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 644581?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -263 - 15973984?\nAnswer: -15974247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1219903 > -1219908?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 69, 121, 177, 237, 301?\n\"Answer: 2*t**2 + 46*t + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 4)*((-1 - 1 + 1)*(-2 + 4 - 1) + 2 + 3 - 3)*(9*w**3 - 4*w**3 - w - w)*(9*w + 5*w - 4*w)*(-w + 20 - 20).\nAnswer: -50*w**5 + 20*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (20 - 24) - (-1 + -26 + -2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 4 = 4*t + 2, -t = -3*y + 12. Which is smaller: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -11. Solve -5*q - 26 = -4*o, q - 5*q = 3*o - t for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 370*d**2 + 363*d + 8. Calculate z(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82653?\nAnswer: 3, 27551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/3*91*(-57)\/(-532).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*j - 63647 + 22013. Suppose -3*p - j = -4*q - 2*p, 4*q - 4622 = -p. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13)*2*1*-3 + 3 + sqrt(325) + -2)**2.\nAnswer: -2*sqrt(13) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.529 + 0.129. Let d = 2\/703 - -1380\/9139. Put a, d, 2\/35, -1\/4 in decreasing order.\nAnswer: d, 2\/35, -1\/4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/9*(-9)\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3505, 3452, 3399, 3346, 3293?\nAnswer: 3240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -5*f**2 + 5*f - 11. Let v(i) = -14*i**2 + 16*i - 34. Let a = 73 - 68. Let t(m) = a*v(m) - 16*q(m). Find the first derivative of t(p) wrt p.\nAnswer: 20*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 435486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - s + 1. Let k(w) = -5*w - 64. Determine 5*g(t) - k(t).\nAnswer: -5*t**2 + 69","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1458 and -22475?\nAnswer: -3276.855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven thirds of a week?\nAnswer: 392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 - 8 + 2*x - 5 in the form a*x + f and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 9, j: 3}. Give prob of picking 2 j and 1 x.\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/6 + 82\/6. Let s = 369350 - 369354. Which is the nearest to 0.1? (a) -1 (b) s (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -277*y**2 - 1 + 51*y + 45*y - 142*y + 46*y.\nAnswer: -277*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 + -17. Let t(z) be the third derivative of 1\/10*z**l + 1\/600*z**6 + 4\/15*z**3 + z**2 + 0*z + 1\/50*z**5 + 0. Factor t(k).\nAnswer: (k + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*w**3 + 12*w**3 - w + 0*w - 10*w**2 - 19*w**3 + 14*w**3 to z*w + a*w**2 + j*w**3 + f and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -4*c - 4*n, -13*n + 9 = 3*c - 11*n for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p + k - 18, -7*p + 5*k = 6*p - 14*p + 20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -6. Let n be b\/(-6) + (-5)\/15. Is 1\/((1\/n)\/(-307)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*t**2 + 56*t**2 - t**2 + 25 - 25.\nAnswer: 89*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j. Let a(g) = 3*g + 1. Let r(i) = a(i) - 2*z(i). Let l be r(8). Suppose -84*w = -318*w - 712 - 224. Sort 3, l, w in increasing order.\nAnswer: w, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*q - 3*q. Let d(p) = -4*p + 5 + q*p - 3 + p. What is d(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -26, -38, -50?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 155246 and 637?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*l**4\/7 - 10518*l**3\/7 + 17199*l**2 - 342574*l\/7 + 16920 = 0. What is l?\nAnswer: -2115, 2\/5, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 22*f**2 + 2*f - 1. Give r(1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.0444133 to one dp.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1942 + 688. Let o = -1437.2 - j. Round o to the nearest 10.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 9 = -3*a, t + 4*t + 4*a + 19 = 0. Let l(c) = 4. Let m(i) = -12. Let b(g) = 11*l(g) + 4*m(g). Let h(n) = -n - 5. What is t*b(v) + 2*h(v)?\nAnswer: -2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-120)\/55 - (1 + -3)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of 0*k + 1\/60*k**5 + 0*k**4 - 6*k**2 + 0 + 0*k**3. Let d(u) = 4*u. Calculate d(j(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*q + 31*q**3 + 1 - 490*q**4 + 492*q**4 + 17*q - 7 as n*q**2 + o*q + m*q**4 + l*q**3 + y and give l.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m**2 - m**3 + 5*m**2)*(-4*m - m + 3*m) - 11925 + 11925 - 3*m**4 + 6*m.\nAnswer: -m**4 + 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 538 or -75?\nAnswer: 538","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4*i**3 - 26*i**2 + 8*i + 23. Let a(w) = 11*w**3 - 77*w**2 + 21*w + 69. Let y(r) = 3*a(r) - 8*g(r). Factor y(z).\nAnswer: (z - 23)*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*t - 2*n - 21, -2*t = -3*n - 19. Let l be -134*8\/(-60) - 1\/t. Is 17 bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ecc when three letters picked without replacement from ecceeceecccccc?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + u - 6 = 0. Suppose -u*o + 18 - 6 = 0. What is the remainder when 17 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -l + 2. Let t = l - -4. Factor 0*r**t - 2*r**3 + 0*r + 2*r.\nAnswer: -2*r*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + i = 0. Let k be 7\/4 - (42\/(-7) - -9). What is the nearest to -1\/2 in -1\/5, k, i?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a kilometer in centimeters?\nAnswer: 90000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*((sqrt(147) - (2 + sqrt(147) + -2)) + sqrt(147)) - 3*(-5 + (3*sqrt(147) - sqrt(147)))*1)**2.\nAnswer: -2940*sqrt(3) + 29037","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*l - 299 = 255*f - 254*f, 5*l - 5*f = -155 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (0 - 13) + 32 + (6 - -3).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -66*i + 66*i - 9*i**2 as v + q*i + l*i**2 and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10*(6\/(-20) + 116\/145). Suppose 0*d + d = 3. Determine o so that -20*o**2 - 5*o**4 + b*o**2 + 2*o**d + 18*o**3 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 178860517?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 5*b**2 + 3*b + 7. Let f be m(-5). Suppose -7 = 16*x + 57. Does 4 divide 1\/x - 66\/f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 + (-7)\/((-98)\/(-48)). Let g(r) be the first derivative of -2\/21*r**3 + 1 - 6\/7*r**2 - b*r. Solve g(m) = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 370526 is divided by 15297?\nAnswer: 3398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4*l**2 + l - 6. Let q(w) = 14*w**2 - 4*w - 1. Let n(y) = 3*b(y) + q(y). Determine n(5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 925\/4 - 1618\/7. Which is bigger: p or -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = 3, -18*d - 3364*k = -3359*k + 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**5*y - 29*b**4*y - 2*b**3 - 156*b*y wrt b?\nAnswer: 40*b**3*y - 348*b**2*y - 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1\/64 of a millisecond?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u - 12 = -13*u. Suppose 5*q + 5*h - 13 - 12 = 0, u*h = 0. Is q a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of g**4\/4 + 2*g**3\/3 - g**2 + 2*g + 648. Calculate a(3).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 22) + (16 + 0 - 25) + 6?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.68 + 4.68. Put -1\/3, -7, p in decreasing order.\nAnswer: -1\/3, p, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3949530 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 0 + 0)*(4*d + 0*d - 3*d) + 2*d**2 + d - d - 3*d**2 + 2*d**2 + 0*d**2 + 4*d + 18*d**2 - 15*d**2 + 5*d.\nAnswer: 6*d**2 + 9*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*l - 105*l = -17 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 7) to base 11.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1132+5717635\nAnswer: 5716503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 60 + -84. Let b = x + 27. Suppose 3*k - b = 6. Solve k*h = -4*c + 10, 2*c - 5*h = -0*c + 18 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 79.5 - 84. Let t = l + -0.225. Let y = 0.075 - t. Round y to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 11*v - 192. Suppose 4*o + 0*o = -5*g - v, -2*g = 4*o. Solve 4*f = -o*f + 24 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 274, -2, -11 in decreasing order.\nAnswer: 274, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/91 and -21\/2353?\nAnswer: 16471","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10725344347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11.8566 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (15 - 1) + (-44 - -7 - -28)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12293326 is divided by 252?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 1. Let h = 22864 + -22865. Let o(c) = -13*c**2 + 8. Calculate h*o(q) - 5*z(q).\nAnswer: 8*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -199485 divided by 13.\nAnswer: -15345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.82 times 22555\nAnswer: 18495.1","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 222*i**2 + 3559133*i - 3559133*i)*(3*i - 3 + 3).\nAnswer: 666*i**3 + 18*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 7:01 AM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + (-3)\/((-6)\/64). Suppose -2*t + 93 - k = 0. List the prime factors of t.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*o = -734, o - 1441 = 245*n - 249*n. Which is bigger: 356 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-1) - (-1 + 1). Let d(a) = 57*a**2 - a. What is the remainder when d(m) is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -5*x. Let f(u) be the second derivative of 0*u**4 + 0 + 3*u**2 + 0*u**3 + 23*u + 1\/15*u**5. Let r(w) be the first derivative of f(w). Give r(p(k)).\nAnswer: 100*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6904 - 3995. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 147803, 147797, 147791, 147785, 147779?\n\"Answer: -6*h + 147809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3*w + 16 + w + 4*w. Let k be a(-11). Let o(y) = -y**3 - 5*y**2 + 2*y - 5. List the prime factors of o(k).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 20*h = 32 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 2) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -5*x**2 + 15*x + 5. Let u be i(3). Suppose u*a - 2*r = 117 + 89, -r = 3. Does 5 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9 - 5 - (8 + -2). Let o(t) = -475*t - 7. Let g be o(a). Let y = -446 + g. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - 4 - (-13)\/13. Let p be f - (-12)\/(-2)*-3. Let h = p + -2. Does 13 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/3 of a minute?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1073043?\nAnswer: 3, 119227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*v - 61. Let l(t) = t**2 + 8*t - 7. Let z be l(v). Let c = 29 + -18. Calculate the greatest common factor of z and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 2 = -u, 19 = 5*f - 3*u. Let x = -6 - -11. Suppose -2*w = -4*w - 2*j + 18, 0 = -w + 3*j + x. Calculate the remainder when w is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -514, -601, -716, -865, -1054, -1289, -1576, -1921?\n\"Answer: -y**3 - 8*y**2 - 56*y - 449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/(-4))\/(3 - 4). Suppose r = -55*n + 56*n + 3. Is n > -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 679133 is divided by 2738?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 48, 88, 128, 168, 208, 248?\n\"Answer: 40*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -347 + 3135. Suppose -d + 9080 = 22*r. Is r a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -3\/317?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*m = -5, y = -3*y - 3*m + 35. Suppose 2*h = 5*c - 8 - 5, -y*h = c - 8. Suppose 2*z + c*t + 45 = 6*z, -t + 1 = 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: Suppose 6*d + 7 = 3*d - t, -4*d = t + 8. Let r be -4 + (-1 + d)*1. Which is the second biggest value? (a) -2 (b) r (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o + 60 = -o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1012\/16 + 30\/40.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 40478115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h + 6*h + 5*h - 5*h. Let a(j) = 21*j + 15. Let i(v) = 0*v + 2 + 4*v - 3*v + 2*v. Let c(r) = -6*a(r) + 45*i(r). Determine u(c(q)).\nAnswer: 36*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.61228 + -0.11228. What is the nearest to 1 in -8.7, x, 0.1, -3\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -43.6, 6, -1\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 4*v**2 - v - 5. Let x be z(4). Let r = -1 - x. Solve -5*m + r = -m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -208 + 5771*r + 830 - 207 - 205 - 209 to the form d + l*r and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -9*o**3 + 9*o - 1032*o**2 + 9 + 525*o**2 + 516*o**2. List the prime factors of z(-3).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6707832 by 6.\nAnswer: -1117972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 469, 1\/142, 1\/11 in decreasing order.\nAnswer: 469, 1\/11, 1\/142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -11*h**3 - 482*h**2 + 571*h - 635. Calculate j(-45).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11481.\nAnswer: 3, 43, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*u + 1105 - 4183 = -94*u. Solve 0 = -12*s + 17 + u for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -2*m + 52, 102 = -0*n - 2*n - 33*m for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-33)\/(-11))\/((-3)\/(-2)). Is 1023\/x + 6\/(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 4329 = -2*a, -1 = v - 4. Does 33 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 21*c**5 - 5781*c**4 + 333387*c**3 + 2481141*c**2 + 1502412*c - 639540 = 0.\nAnswer: -6, -1, 2\/7, 95, 187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70 + 31416\/440)\/((-2898)\/(-60))?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/139548 and -125\/33684.\nAnswer: 976836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 12385466 to the power of 1\/2, to the nearest integer?\nAnswer: 3519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 5, 1, 728, 12 in increasing order.\nAnswer: -28, 1, 5, 12, 728","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -21 + 16 + d**2 + 5*d + 7. Calculate n(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**2 + 2*l. Suppose -4*d = -4*q + 6*q + 8, 0 = -2*d - 3*q - 4. Let k be j(d). Solve 2*n - 6*n + k = -4*w, 5*w - 3 = -3*n for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -54500*t + 381147. Determine n(7).\nAnswer: -353","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4*c + 0*c + 25 = 0, -3*t + c + 5 = 0. Let g(z) = 6*z**2 + 2*z + 2. Is g(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-34)\/(3*(-12)\/90) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 125 and 15.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.19 - -411.\nAnswer: 411.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*u - 17*u + 6*u + 2*u.\nAnswer: -18*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 657 + -379. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 72\/5 + 10\/(-25). Suppose -3*y - 7 - l = 0. Let g be (-2 - y)*(0 - -1). Solve r + o = g*o, 2*r + 11 = -3*o for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1254581*y**4 - 574*y**2 + 13*y + 58 wrt y?\nAnswer: -30109944*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 465 + 145. Suppose f = 3*s + s. Calculate the smallest common multiple of s and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 943 + -943. Let q = -0.01 + -0.49. Let t = q + 1.5. Which is the nearest to 1? (a) g (b) t (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 + -20. Let u be (-2)\/15 + 94\/30. Let d = 5 - u. Solve 5*r - 12 - 3 = -d*z, -v*z - 4*r = -12 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y + 13. Let z = -2 + 2. Suppose 3*t + 0*x = 3*x + 27, -4*t + x + 36 = z. Let s be g(t). Solve 2*v = -0*v + s for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (33\/(-132))\/(2\/40)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 + 26 = -3*z. Let d(f) = 4*f - f**3 - z*f + 6*f**2 - 7 + 3*f + 4*f. Suppose 35 = 8*r - r. Calculate d(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1*12\/15)\/(6\/(-15)). Let d be 1\/5*315\/14*o. Find the first derivative of d + 13*t**4 - 5 - 33 wrt t.\nAnswer: 52*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(189)\/sqrt(112)*-5*6)\/((1*sqrt(108)*1)\/(sqrt(48)\/(sqrt(4)*-1))))**2.\nAnswer: 691\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1892356, 3784716, 5677076, 7569436?\nAnswer: 9461796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -c, 2*c + 5 - 1 = -4*d. Suppose -10 = c*o - 4*o. Suppose o*r = 2*r + 99. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 8:57 PM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3090 in -4, -3\/10, -0.2, -2\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + 4*o + 2. Let f be u(-4). Let z = f - 4. List the prime factors of (3\/z)\/(15\/(-100)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**2. Let u(h) = -222*h**2. What is p(u(g))?\nAnswer: -98568*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 9, l: 2, e: 1, j: 6}. Give prob of sequence ml.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + (-6)\/((-18)\/(-57)). Let r(o) = -o**3 - 13*o**2 - 2*o - 19. Is r(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 63 - 53 - 64 = 0. What is the remainder when 179 is divided by x?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 13*l**2 + 14*l - 16. Calculate t(-14).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20723324 + -8500324. What is o rounded to the nearest 100000?\nAnswer: 12200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 834015 and 113505.\nAnswer: 4935","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8728 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1853, 1814, 1775, 1736, 1697?\n\"Answer: -39*y + 1892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -16591929 less than or equal to -16591928?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of 16*m**6\/15 - 77*m**4\/4 - 219*m. Find the third derivative of a(y) wrt y.\nAnswer: 768*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p + 347800. Let q(k) = -k**2. Determine o(q(w)).\nAnswer: w**2 + 347800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z. Let x(b) = -815*b**2 + 315. Give x(l(m)).\nAnswer: -3260*m**2 + 315","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60 + -51. Let k(s) = 9*s - 23*s + 12*s + o*s. Let r(y) = 1 - 1 - 2*y. What is r(k(h))?\nAnswer: -14*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zwwz when four letters picked without replacement from {v: 2, b: 2, y: 1, z: 4, w: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16744\/(-520)*(-20)\/140?\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 8 = 4*b. Let t(o) = 2*o - 2 - o + b. Let n(m) = 2*m. Determine n(t(q)).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -8*f**2 + f + 6. Let s be l(3). Let v = -62 - s. Let z = -188\/7 + 27. What is the smallest value in z, -3, v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 581\/(-28)*(-16)\/4. Let t = -77 + l. Solve -12 = -2*g - t for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -i**6\/720 - i**5\/120 - i**4\/48 + 71*i**3\/6 + 101*i**2. Let s(m) be the first derivative of u(m). Find c such that s(c) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, -60, 1, -0.3, -2?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32542?\nAnswer: 2, 53, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0024664 rounded to five decimal places?\nAnswer: 0.00247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1201137839?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of f**6\/2 + 6*f**5\/5 - 2*f**3 - 3*f**2\/2 + 5. Factor a(g).\nAnswer: 3*g*(g - 1)*(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 3:15 PM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 f, and 2 q when four letters picked without replacement from {g: 4, f: 2, s: 8, q: 3}?\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 11*i + 419. What is h(-33)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 26*t + 12*t - 10*t. Let v be z(1). Suppose 6*x = 4*x + v. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 55584 and 27?\nAnswer: 166752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 133056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -147*j**5\/4 + 63*j**4\/4 + 18*j**3 + 3*j**2 = 0. What is j?\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**3\/23 - 976*k**2\/23 - 5302*k - 696972\/23 = 0 for k.\nAnswer: -241, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-1))**(24\/7)\/((((p**(-2\/15)*p)\/p*p*p)\/p)\/p**3)*(p*p**(-1)\/p)\/p**(2\/5)*p**(3\/4)*p*p*(p\/p**3)\/p*p assuming p is positive.\nAnswer: p**(89\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1)**(-17)*(h**(1\/2)*h)\/(h*h**(1\/4))*((h**(-2\/5))**(10\/11))**(11\/8) assuming h is positive.\nAnswer: h**(-69\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 18 = -6*b. Which is bigger: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 4*u - 28, u = 3*a - 0*u - 28. Let b be (-8)\/(-60)*(-18)\/(-4)*a. Solve 0 = -t + 4*i - 21, 0*t = 2*t + 4*i - b for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/5 + 81916*j\/5 - 327632\/5.\nAnswer: -2*(j - 40954)*(j - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32 + 11112323032?\nAnswer: 11112323130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3542081, -3542057, -3542033, -3542009?\nAnswer: -3541985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 200 - 1404\/7. Sort k, -2\/5, 0.19 in descending order.\nAnswer: 0.19, -2\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -55593*h. Let k(m) = 695*m. Determine -319*k(x) - 4*o(x).\nAnswer: 667*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*r**3 - 18*r**3 - 75*r**3 - 21*r**3.\nAnswer: -107*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 + 5. Let p = b + 7. Let d(n) = 6*n**2 - 31*n + 5. Let s(f) = f**2 - 6*f + 1. Let v(r) = -2*d(r) + 11*s(r). Calculate v(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4*(0 + sqrt(7))**2 - sqrt(7)).\nAnswer: 4*sqrt(7) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*(15\/6 + 2). Let t = n - -2. Let d(y) = y + 15. Is d(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221424401 (base 5) to base 2.\nAnswer: 11101100001100110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 6*z. Let k(p) be the first derivative of -p**2 + z*p**3 + 2 + 3\/4*p**4 + 0*p. What is the second derivative of k(a) wrt a?\nAnswer: 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**3 - 63*d**2 + 33*d + 59. Give q(-32).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 974545059.\nAnswer: 3, 324848353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (90\/8*6208\/6984)\/((-1)\/10)?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -100*m**5 - 9480*m**4 - 228436*m**3 - 178224*m**2 - 35344*m.\nAnswer: -4*m*(m + 47)**2*(5*m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 188 - 1?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - b**2 + 4*b + 2. Suppose 5*w + 18 = -w. Let p be t(w). Let n = -26 - -58. Calculate the highest common factor of n and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 11. Let d = 2 - l. Let x = -11\/4 + 13\/4. Sort d, -11, x.\nAnswer: -11, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 122 and 1342?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*k - 72 + 84 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 281 - 280.9999598. Round j to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12906 = -26*b - 608. Let g = -459 + b. Solve p = -2*w - 2*p + g, 2*p - 8 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 9, i: 11}. What is prob of picking 1 i and 1 j?\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*((-4)\/16)\/((-129)\/(-172)).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*a + 17*a + 79 + 1397 = 0 for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 8*f + 2*q + 176 = 0, 4*q = -5*f + 233. Let x be -10*(-3 - f\/6 - -1). Let r = x + -94. Solve t - r = -5 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9100000 rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-2)*h*h)\/(h**(-3\/4)*h*h)*h**3\/(h\/((h**0\/h)\/h)) assuming h is positive.\nAnswer: h**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 493?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1229197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3410, -15064, -26718?\nAnswer: -38372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1436 times 364\nAnswer: -522704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ir when two letters picked without replacement from iirrrii.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -1)\/(8\/(-7) - (-197 + 196)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/180 less than or equal to -6704?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 11*q. Let o(z) = 21*z. Let h(i) = -i**3 - 5*i**2 - 5*i - 4. Let r be h(-3). Let n(j) = r*y(j) + 4*o(j). Let t(g) = g + 0*g - 2*g. Determine t(n(m)).\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i**3*k**2 - 3880672*i**3 - 2*i**2*k + 58*i*k**2 + 7498*i - 2*k**2 + 2*k wrt i.\nAnswer: 6*i*k**2 - 23284032*i - 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + s - 65. Let t be l(11). Suppose -20*x + 33 + t = 0. Solve 0 = -8*w + 4*w - 3*u - 13, -x = -4*w + 3*u for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 0 (c) 264 (d) -13 (e) -94\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-102)\/12 + (-180)\/162*18\/(-2).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1286 or -1287?\nAnswer: -1287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bqqqrrbrqqrqqqqb. What is prob of picking 1 r and 3 b?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 9 = 3. Suppose f + 34 = j*f + 2*g, -g = -f + 40. Suppose 0*i = 10*i - 950. Calculate the highest common factor of f and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7890 + 7898. Let d(s) = s + 3. Let l be d(12). Solve -17*m = -l*m + g for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of t**7\/210 + 11*t**3\/3 - 36*t**2. Find the first derivative of c(l) wrt l.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (16 - 9) + -2 + 1 + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/(-30)*-35 + 0. Put j, -5, 5 in descending order.\nAnswer: j, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 + 414*p - 1221. What is y(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of k**5\/20 + 2*k**4\/3 + k**3\/3 + 3*k**2 + 371*k. What is t(-7)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*b + 80257 + 219620 = 0. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -4305333?\nAnswer: 4305333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 2, -1, -582, -3 in descending order.\nAnswer: 2, -1, -2, -3, -4, -582","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -12416442 (base 7) in base 9?\nAnswer: -2113083","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - -1 - 14\/(-2). Let r = 17 - w. Does 7 divide 3*(42\/r + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 o when four letters picked without replacement from {s: 1, u: 1, o: 6, y: 1, w: 3}?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 256, 878, 2092, 4096, 7088, 11266?\nAnswer: 16828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -310 = -5*w + 5*t, 0 = -4*w - 3*t + 151 + 118. Calculate the highest common divisor of 10 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1*(-2*sqrt(102) - sqrt(102)) - (sqrt(102) + sqrt(102)*1*2)))\/(sqrt(60)\/((sqrt(100) - (sqrt(100)*-1 + sqrt(100)))\/sqrt(10))*-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41 - -8. Let g = h - -69\/2. Which is the third smallest value? (a) -0.09 (b) g (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 457030 and 1750?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + p**2 - p - 1. Let z be m(-3). Let o = z - 20. What is the remainder when o is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 13054403 = 6345597. Round w to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4812 + -4811. Sort -0.18, j, -2\/19.\nAnswer: -0.18, -2\/19, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/11)\/d*d)\/d**(-12) assuming d is positive.\nAnswer: d**(130\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 23*o + 66462*o**2 - 66460*o**2 - 2.\nAnswer: 2*o**2 + 23*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.01 - 0.01. Let l = -0.6 + 0.8. Which is the closest to v? (a) l (b) 5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 5447*r + 713557. Give j(-131).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 3060 - 3059.9923. Round y to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0182141 rounded to 3 dps?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -20*c - 93. Is (-37904)\/(-10) + c\/(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 36, 9 in ascending order.\nAnswer: -5, 9, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 20 = 5*n. Suppose 32 = -n*w + 320. Suppose 2*u + w = 6*u. Solve -3*m = -8*m - 2*r - u, 20 = -5*r for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m - 3*m**4 - 4*m + (-2 - m**2 + 2)*(-2*m**2 + 2*m**2 + 2*m**2) + m - m - m**4 - 4*m**4 + 0*m**4 - 2*m**4.\nAnswer: -12*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 11*n - 12*n = 4, 0 = h - n - 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 3 = -v, 1711 - 1712 = -4*r + 3*v for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 3 - 3*t**2 - 4*t + 2*t**2 + 1. Let j be a(-5). Let z be (2\/6)\/(j\/(-75)). Solve -w - 15 = 4*c + 2*w, 5*w = 2*c - z for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 at least as big as 1268?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 8*h**2 + 6*h - 5. Let x be t(-7). Let l = 7 - x. Suppose -7*w + 2*w - 2*v = -65, 4*v - 55 = -l*w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7210 and 72960874?\nAnswer: 364804370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t = 2*t + 55788. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -590 less than or equal to 4764?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 17*x**3 + 5*x**3 + 0 + x**3 + 3*x**3 - 5*x**3 + (-x + 1 - 1)*(2*x**2 + 0*x + 0*x).\nAnswer: -15*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + 19311\/(-1056))*(-6)\/(-45). Let h = l - -21\/80. Find the common denominator of -20\/9 and h.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*x**3\/9 - 148*x**2\/9 - 208*x\/9 - 16\/3.\nAnswer: -4*(x + 2)*(x + 3)*(7*x + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 266?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1646867 and 118.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 4*i + 1141 = -268, 5*v + 2*i - 1433 = 0. Suppose 0 = -u - 14*u + v. Solve 4*x + u = 3 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2271 or 2266?\nAnswer: 2266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 6) + -3 + 1 + 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -234 divided by -78?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 437, 1786, 4043, 7214, 11305, 16322, 22271, 29158?\nAnswer: 36989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -447425, -1789609, -4026581, -7158341?\n\"Answer: -447394*z**2 - 2*z - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**3\/5 + 550204*y**2\/5 + 39625202*y\/5 - 40175404\/5 = 0?\nAnswer: -73, 1, 275174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18482, 73441, 165036, 293267?\nAnswer: 458134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*((sqrt(72) - sqrt(72)*-1) + sqrt(72)) - sqrt(72) - sqrt(72))\/(sqrt(270)\/sqrt(5)))\/(-2*sqrt(294)*5*-3).\nAnswer: 8*sqrt(2)\/315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -142*v**4 + 1 + 164*v**4 - 4*v**3 + 235*v**4 - v**3 + 6*v**3 to the form f*v**4 + l*v**3 + m + r*v**2 + o*v and give f.\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/108561 and 21\/832301?\nAnswer: 2496903","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from wwzzzzwzwzrwzrz?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*q + 26*q - 9340. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -15. Let i be (-1)\/(-4) - (-10)\/24. Let b = 0.3 - 0.4. Put i, b, c in increasing order.\nAnswer: c, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 6*d + 13. What is u(-7)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -10*x + 10. Let q be r(6). Let o be ((-2)\/5)\/(5\/q). What is the second biggest value in -0.2, o, -6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34.96 - -35. Let c = 0.31 + -0.29. Let u = 0.32 - c. Put u, i, -1\/2 in increasing order.\nAnswer: -1\/2, i, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000073 to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1626 = -2*y - 5*j - 1396, -5*j - 550 = -4*y. Solve 157*q - 131*q = -y for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22993321 is divided by 83.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccf when three letters picked without replacement from {l: 16, c: 1, f: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 102312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.437 * -4.2\nAnswer: -1.8354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 12b (base 12) to base 6\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*((1*sqrt(1053) + sqrt(1053) + -1 - 1*sqrt(1053)*-1) + -2*1*sqrt(1053)*-6))**2 + 2)*-5.\nAnswer: -1184640 + 1350*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a day in seconds?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/2 - (17 + 1). Suppose 1088*z = 1083*z - 135. What are the prime factors of ((-208)\/(-6))\/(v\/z)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 373047?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -r - 2324 + 10188, -4*h - 16 = 0. Let l be ((-2)\/(-15) - r\/60)*11. Round l to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1197699052 to the power of 1\/4, to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -2925300 to the nearest one hundred thousand.\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9747095*t**3 + 582659*t wrt t.\nAnswer: 58482570*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 56078183 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3061 and 2.721544514.\nAnswer: 3063.721544514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*z**3 + 0 + 48 - 48.\nAnswer: 25*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.52393 times 0.4?\nAnswer: 0.609572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 s when two letters picked without replacement from qqqxqsqqq?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.9 + 1.6. Let z = -2.49923 + u. What is z rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - -7 - (-1 + -2). Let f = -7 + k. What is the first derivative of 0*j**3 + 1 - 4 + 4*j**3 - j**f wrt j?\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.3, 460, -5, 3\/2, 0.047, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 845?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2667*30\/105*4. Calculate the highest common factor of 48 and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1581 minus -11301367682?\nAnswer: 11301369263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1930679389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/3591 and 17\/3420?\nAnswer: 71820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10605663 is divided by 3535136.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 * 84326661\nAnswer: -1686533.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-47)\/95 + 134\/(-1273). What is the third smallest value in -5, 64, i?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4330867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64 and 16?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.02 and 44 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32285364 and 1308?\nAnswer: 1308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 886?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8*(-2)\/12)\/(85\/((-67575)\/(-4028)))?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7608 and 456?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -49613 plus 23805?\nAnswer: -25808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -10. Let m = 13 - h. Let u = 1342 - 4028\/3. What is the nearest to u in -1, m, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4000\/139 or 9?\nAnswer: 4000\/139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 404 and 0.3.\nAnswer: 404.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 320 = -9*u. Is u a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*n + 27455 - 27095 = 0 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**2 - f**2 + 0*f**2 - 14 + 0. Let g be b(-4). Suppose -3*k + 20 = k, 0 = 3*o - g*k - 2207. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 2 r, and 1 u when four letters picked without replacement from {o: 6, r: 6, c: 1, m: 3, v: 3, u: 1}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of z**6\/180 + z**5\/30 - z**3\/3 + 14. Let o(f) be the third derivative of j(f). Give o(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/(-8))\/((-8)\/((-2193296)\/63)). Let c(g) = -815*g + 1. Let d be c(-2). Let p = d - v. Calculate the common denominator of -95\/8 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 118?\nAnswer: 3\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4978114103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6872, 24995, 55202, 97493, 151868?\n\"Answer: 6042*f**2 - 3*f + 833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 3*q = 0. Suppose q = 4*t - 3*l - 0 - 2, 0 = -3*l + 6. Let v be (-18605)\/15 + t\/6. Round v to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5656194212 to the nearest integer?\nAnswer: 75208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 19466.8, -0.1.\nAnswer: -0.1, 29, 19466.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 18482a (base 11) to base 15\nAnswer: 5946d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - (0 + 1))*2. Let c(x) = 4*x + 23. Let p(d) = -d - 8. Let q(o) = m*p(o) - 3*c(o). Differentiate q(l) wrt l.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 789 smaller than -0.4652?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 143\/95 - 2\/19. Sort 6\/7, -0.07, d in decreasing order.\nAnswer: d, 6\/7, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 426859184?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 y when three letters picked without replacement from {f: 3, o: 3, s: 3, j: 3, y: 2}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11590 by 2318.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 divided by -561.\nAnswer: 8\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -37.58 to zero dps.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15*(-1 - (-14)\/6). Suppose 0 = 2*i - n - 34. Suppose -5*w + 30 = -b, -2*w - 16 = -5*b - 5. Calculate the remainder when i is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/16 and -55\/685046636.\nAnswer: 2740186544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 452, 448, 440, 428, 412, 392?\n\"Answer: -2*w**2 + 2*w + 452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 35928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 4 + 3*i**2 - 4. Let z(u) be the second derivative of -u + 0 + 0*u**2 - 1\/6*u**3. Give z(v(x)).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -93? (a) -2 (b) 3 (c) -0.25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 5*g**2 - 8*g - 8. Let b be n(-6). Suppose -b*p - 20 = 0, j - 6 = -p - 3*p. Let z = j - 13. List the prime factors of z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16 - (8 - 10 - -7)) + (-32 - 0)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + 4*t + 0*t - 3 + 0 + 1. Let h be y(3). Suppose 0 = d - 1 - h. Which is greater: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8211893293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/152149821 or -1?\nAnswer: 2\/152149821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1229168 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*a = 62*a - 36941. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 92 by -2851408.\nAnswer: -23\/712852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2\/5 + 6345736*h\/5 - 2516772836356\/5.\nAnswer: -4*(h - 793217)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-72)\/60)\/((-2)\/10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o + 220. Let j be v(2). Which is bigger: j or 226?\nAnswer: 226","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*p - 20. Suppose p*s - 5*u - 20 = -3*u, -u = 5. Suppose -s*o - 2 = -o. Let w(h) = 4*h + 1. Determine w(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 a when two letters picked without replacement from aakjjmu.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.7 - -1. Let n = 2.258 + 0.042. Let o = z - n. Which is the nearest to o? (a) -4 (b) -0.1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4511 = -5*i + 2*x, -14*i + x - 3614 = -18*i. Is i a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -307 (b) 0.1 (c) 4 (d) 1\/12 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 - 10*a + 15. Suppose -3*n = m + 14, -3*n - 3*m - 11 = m. Let g = -6 + n. Let d be b(g). Solve 8 = -4*z - d for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29 - 31)*(-2)\/1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -73.2 - -73.2701. Let u = w - 319.0701. Let v = u + 319.00173. Round v to 4 decimal places.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20\/7 at least as big as 67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 17626, 70572, 158816, 282358, 441198, 635336?\n\"Answer: 17649*g**2 - g - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 135\/(-70) - 18\/(-12)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - 5*i - 4. Suppose -1181*u + 1184*u = 1089. Let w = u - 368. Determine z(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 + 34*u - 197. Calculate d(-39).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5906 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1620 + 1620. Suppose 2*b - 16 + 4 = 0. Let j = 10 - b. Solve d = -4*g + 4*q, -g = j*g - 4*q for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30472, -26554, -15938, 4724, 38780?\nAnswer: 89578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 50*p**2 - 1. Let j be 1 + 0 + (3 - 5). Let z be n(j). What is the highest common factor of z and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4060.\nAnswer: 2, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j**2 - 8*j + 7. Let a be g(8). Suppose -4*u - a = -u. Let v = u + 66. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in 3\/2, 0.4, 9, -0.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/(-6))\/(4\/(-6)). Suppose -v - 5*s = -17, 0 = u*v + 2*s + s - 13. What is the units digit of (-3)\/v*(-56)\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17150315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79.71703 micrometers to nanometers.\nAnswer: 79717.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0\/u**(-1\/8))**18 assuming u is positive.\nAnswer: u**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 50004531 to the power of 1\/3, to the nearest integer?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1567, 1566, 1565, 1564, 1563?\nAnswer: 1562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -378348338 by -2.\nAnswer: 189174169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1494 - -3251. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ikk when three letters picked without replacement from ikkkiikkkkkkkkkk?\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1889779681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1570 - 1570.3. Let y = 0.5 + -0.4. Sort 3\/10, h, y in descending order.\nAnswer: 3\/10, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 + -35. Let h(r) be the second derivative of -r**3\/6 + r**2\/2 + 2*r. Calculate h(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 69*z**2 - 201*z - 163. Give b(-66).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2379, -2386, -2393, -2400, -2407, -2414?\n\"Answer: -7*n - 2372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14466?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-24)*0*-5*(-6)\/30.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(490)*-1)\/(sqrt(30)\/sqrt(12)))\/(((sqrt(315) - (sqrt(315) + 1*sqrt(315)))\/sqrt(5))\/(-2*sqrt(81))).\nAnswer: 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 8:27 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*n**2 - n - 2*n**4 - 7*n**3 + 16*n**2 + (2*n**3 - 2*n**3 + 2*n**3)*(337*n + 106*n + 10*n) as l + w*n**3 + k*n**2 + s*n + v*n**4 and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 8*m**2 - 2*m - 3. Let h = -5 + 3. Let b be p(h). Let y = -20 - -42. Calculate the highest common divisor of b and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 15*x**2. Let s(q) = 17*q. Determine z(s(t)).\nAnswer: 4335*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 177004428 to the nearest integer?\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0031929091 rounded to seven decimal places?\nAnswer: 0.0031929","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184*u + 876 = 254*u. Let b(h) = -h**2 + 9*h - 2. Let p be b(7). Solve u*k - p = -0*k - 2*a, -5*k = -a for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-2)*3470\/(-3123))\/((-55)\/2).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 409542?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 382.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a**3 - 117*a**2 - 113*a + 59. Give n(-38).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (84\/(-35))\/(27\/360).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -101 or 7\/279?\nAnswer: -101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 10388*o**2 - 3*o + 12. Let i(y) = 10387*y**2 - 2*y + 8. What is -3*i(a) + 2*x(a)?\nAnswer: -10385*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4734 divided by -1578.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**2\/6 - 240602*g\/3 - 2405995\/6 = 0. What is g?\nAnswer: -481199, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 8:23 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.7832 * -816.9\nAnswer: 639.79608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59163 = 1065*x + 1479*x - 945*x for x.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r + 6. Let x(v) = 10*v + 3. Let s(p) = 7*p + 2. Let f(g) = -7*s(g) + 5*x(g). Let m(l) = -d(l) + 5*f(l). What is m(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (165 - 80 - 80)*(-a - a**3 + a)*(5*a**2 + 0*a + 0*a).\nAnswer: -25*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 71779 (base 11) to base 12\nAnswer: 50753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1097 + -5?\nAnswer: -109c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54b55 (base 13) to base 10.\nAnswer: -153522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + sqrt(117) + -2*sqrt(117)*1)\/(sqrt(18)\/sqrt(2)*-6) + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1792, -1797, -1802, -1807?\nAnswer: -1812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -21444803 to the nearest ten thousand.\nAnswer: -21440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 6:45 AM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + -9. Let a = 9 - b. Solve 4 = a*c + 19 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52.995 + -52. Let i = 0.001 - m. What is i rounded to one dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*h**3 + 1114 - h**2 - 2223 - 340*h**6 + 1107 + 1398*h wrt h.\nAnswer: -40800*h**3 + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 15 + 0 = 5*u, 0 = 4*u + 5*y + 24. Let i(m) be the second derivative of -m**3\/2 - 199*m. What is i(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 325 is divided by 47?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 561519 is divided by 187171?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (10 - 5) + -71 + -164 + 177.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -707.99 - -708. Which is bigger: g or 0.031?\nAnswer: 0.031","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -666 - -699. Sort 2\/7, 0, g in decreasing order.\nAnswer: g, 2\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, v: 3, h: 6}. What is prob of picking 1 v and 2 f?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*n - 3*n + 36. Let h be 12\/(-6)*(-2)\/n. Let v = 62 - 61.2. What is the closest to h in 0.1, v, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-180510)\/(-2145) + (-2)\/13)*1?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -33 + 28, 2*z + 3*b - 21 = 0. Solve -4*x + 8 = 4*f, 7*f - 18 = -z*x + 8*f for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 + -5. Let t be ((-8)\/10)\/((-4)\/r). Suppose t*s - s - 17 = 4*q, 3*s = 3*q + 9. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + n - 270 = 0, 2*n - 4*n = 4*t - 222. Suppose -j = m - t, -4*j = -5*m + 2*m - 212. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 129 + -126. Suppose 39 + 75 = m*o. Calculate the remainder when o is divided by 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 53*q + 476. Calculate u(12).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 9*d. Let n(c) = 23*c**2 - 20*c - 65. Give n(z(j)).\nAnswer: 1863*j**2 - 180*j - 65","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -3. Let d be 3 - (-3 + (0 - -1)). Suppose -8*w + d*y + 30 = -3*w, -2*w = -3*y - 17. Solve x*t + w = 7 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 108 and 82782?\nAnswer: 165564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3314 - -33302?\nAnswer: 24433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -144153, -288359, -432529, -576645, -720689, -864643, -1008489?\nAnswer: -1152209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4663 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(-3)*13\/13. Do 2 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 w when two letters picked without replacement from {e: 1, w: 1, b: 1, j: 3, x: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -0.1 (b) 2\/5 (c) -4 (d) -5\/254 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.02 + -13.98. Let v = b + 14.1. Let d = -5.8 + 9. Is v at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 688351 to the nearest integer?\nAnswer: 830","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 97 (b) -3\/5 (c) -9.3 (d) 1\/2 (e) -0.2 (f) 4\/7 (g) -9\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05539 rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1497 by -11.\nAnswer: -1497\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 9\/((-4)\/(-8) - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 391\/429 + 59\/39. Find the common denominator of j and 37\/7.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 3443?\nAnswer: -3444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -85\/12, -555\/2, 0, -1\/42 in ascending order.\nAnswer: -555\/2, -85\/12, -1\/42, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 5024*v - 1 - 8434*v - 2 as f*v + j and give f.\nAnswer: -13458","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 23 + 3 + 13*z**2 - 26 - 4*z**2 - 3*z**3.\nAnswer: -3*z**2*(z - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45524, 182098, 409722, 728396, 1138120?\nAnswer: 1638894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4083817+-3\nAnswer: 4083814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/300)\/(4\/10)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a millennium in decades?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1709, 6701, 18329, 39911, 74765, 126209?\n\"Answer: 553*y**3 + 1121*y + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 208 divide 15771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 12, -2*i - 3*i + 75 = 3*p. Suppose -3*c + w = -w + 2, -p = -2*c - 4*w. Solve 1 = -a - 0*r - c*r, 5*a - 6 = r for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 474*i - 939*i + 27 = -474*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oouu when four letters picked without replacement from {o: 7, u: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 338 + -318 - (37 - -1).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 99\nAnswer: 29.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 30684516 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l**4 + 2922*l**3 - 4*l - 916?\nAnswer: -24*l**2 + 17532*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155561 is divided by 62.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 12) to base 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 608.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 55\/12, -2\/17, -1 in descending order.\nAnswer: 55\/12, -2\/17, -1, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 38 = f. Let a = -294\/5 + f. Let o = 0.1711 + -1.1711. What is the closest to o in a, -1\/6, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8635 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -11. Let u = f + -8. Which is greater: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 + 2. Let k be l(0). Solve 2*i - 6 = 2*o, k*o = -o + i - 13 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7331758 divided by -12179?\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -164*p**2 - 2*p. Let n(i) = 9*i - 115. Let u(y) = -14*y + 184. Let w(b) = 8*n(b) + 5*u(b). Determine w(v(d)).\nAnswer: -328*d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.89157842 rounded to 2 dps?\nAnswer: -12.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6502285 is divided by 4261?\nAnswer: 4260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2647664\/207 < -12792?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 64879 to the power of 1\/2, to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 5*p**2 + 5*p. Let l(j) = j**2 - j. Suppose 2*m = 3*y, 0 = 2*y - 2*m - 2 + 4. Suppose u + 3 - y = 0. Give u*h(a) - 5*l(a).\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1554 (base 14) to base 3.\nAnswer: 12012200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((24\/(-10))\/4)\/(-8*2\/(-320))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24\/85 - 796\/1615. Is p > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2. Let g(m) = 15*m - 6*m - 4*m. Determine i(g(h)).\nAnswer: 50*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 622290 plus 53165?\nAnswer: 675455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 77 + -56. Let o(m) = 4*m - 8. Let x be o(f). Suppose -74*b + x*b = 582. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (399\/4)\/((-12)\/(-32)). Suppose -3*p + o = -4*b, 2*b - 4 = -2. What is the highest common divisor of p and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.17 + 0.83. Sort -5, m, 4.\nAnswer: -5, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of j**4\/24 + j**3\/3 + 28*j**2. Suppose 2*m = 7*m. Determine a(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*a + 96*a - 3330 = -101*a for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19251623?\nAnswer: 47, 409609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 27 + -7 + -21 + 76 + 3?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express a**2 + 280*a + 13 - 9 - 4 + (2*a - 2*a + 2*a**2)*(3 - 2 + 1) + 2135*a - 2135*a + 51*a**2 as h*a + z + c*a**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 13934?\nAnswer: 292614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34252 = -23*g + 12378 + 51327. List the prime factors of g.\nAnswer: 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {s: 1, v: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2950 a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -380 divided by 84?\nAnswer: -95\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wnn when three letters picked without replacement from wwwnwnudnnnuwnwwn?\nAnswer: 49\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 86 - 85.98. What is the third biggest value in b, 1, 2, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 619915384.\nAnswer: 2, 11, 7044493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 333 - -142020?\nAnswer: 142403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + -4 + -4 + -9. Let l = -11 - q. Let r(x) = -305 - x**l + 305. What is r(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 101 - 45. Suppose 0 = 3*q + q - b. Calculate the lowest common multiple of 10 and q.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (389 - 389 + 212*f)*(22 - 4*f - 22) to the form k*f**2 + c + o*f and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t + 3 - 3 + (t - 2*t + 0*t)*(-3 + 3 - 1) - 2*t + 0 + 0 + 2 - 2 + 2*t - t + 3*t + 0*t + (-2 + 5 - 1)*(1 - 1 + 2*t) + 1 - 1 - 2*t + 3*t - 5*t + 5*t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cck. Give prob of sequence kc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 2)*(34*a - 3*a + 6*a).\nAnswer: 74*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l. Let n be 10\/(-24)*19\/(-95). Let a(w) be the third derivative of -n*w**4 + 0 + 0*w + w**2 + 0*w**3. Give a(k(c)).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(66) - sqrt(66)*1*-1)\/(((sqrt(6) - sqrt(150)) + sqrt(6))*5) + sqrt(44)\/(sqrt(4) + (sqrt(28)\/(3*sqrt(7)) - sqrt(4))) + 4).\nAnswer: 20 + 43*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -l**4\/12 - 8*l**3\/3 + 17*l**2\/2 - 9821*l. Calculate q(-10).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-110)\/7*35\/(-5) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 7830596?\nAnswer: -7830601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -216460 divided by -137\nAnswer: 1580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 11*s**2 - s - 7. Let h be m(-11). Suppose 3*a + 5*c + 2 = 0, -8*a + 3*a - 28 = -4*c. Let p be a\/1*9\/(-12). Sort 1, p, h in ascending order.\nAnswer: 1, p, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4*a**2 - 8*a - 8. Let h(c) = 4*c**2 - 7*c - 7. Let o be 3 - (2 + (10 - 3)). What is o*b(n) + 7*h(n)?\nAnswer: 4*n**2 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 - 2*j - 2. Suppose 2*i + 15 - 7 = 0. Calculate r(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-3\/8)*u)\/u*u)\/u**(-6\/13))\/((u**(-1\/3)*u*u*u)\/((u\/(u\/(u*u\/(u*u**0\/u))))\/u)) assuming u is positive.\nAnswer: u**(-181\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -487*v**7\/105 + v**6\/120 + 161*v**4\/8 + 886*v**2. Find the second derivative of q(d) wrt d.\nAnswer: -11688*d**2 + 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2115055095.\nAnswer: 3, 5, 141003673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11259\/(-1620))\/139*100.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/7599 + -73490\/250767. Calculate the common denominator of 91\/726 and v.\nAnswer: 2178","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 104 = -0*f. Calculate the highest common factor of f and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 3*n - 0*n - 12, -16 = -2*u - 4*n. Let j(p) = 5*p**2 - 3*p**3 + 4*p**3 + u + 3. Let y be j(-5). Solve y*t + 2*t + 10 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3307 - -23?\nAnswer: 3332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-9)\/(-5) - 3)*(-675)\/18. Solve -j + 13 - 3 = g, -4*j + r = 5*g for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 110641587 to the nearest integer?\nAnswer: 10519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/8833, 1, -75\/7.\nAnswer: -75\/7, -2\/8833, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1138957?\nAnswer: 1138957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -10*d**3 + 130*d**2 + 423*d - 11. Let c(i) = 4*i**3 - 44*i**2 - 141*i + 4. Let l(f) = 11*c(f) + 4*y(f). What is the second derivative of l(r) wrt r?\nAnswer: 24*r + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -26 - 29*n**2 - 4*n + 6*n + 6*n. Let i(o) = -5 - 3*o - 4*o + 19*o**2 + 2*o + 22. Let x(h) = -8*i(h) - 5*j(h). Differentiate x(z) with respect to z.\nAnswer: -14*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44.5972, -3, -40 in increasing order.\nAnswer: -44.5972, -40, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 424634013.\nAnswer: 3, 229, 206033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4569, 10737, 16905?\nAnswer: 23073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 639316877?\nAnswer: 639316877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 473521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a gram in milligrams?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 17*w + 6020 + 3968. Which is smaller: -459 or w?\nAnswer: -459","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4913437 is divided by 1178?\nAnswer: 1177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from wnhdjjdhnwinjw?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h - 1. Let g be t(-1). Put 1, g, -2 in increasing order.\nAnswer: -2, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + -15 + 4 + 36.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255 is divided by 93.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19976*b**5 + 845*b**3 + 4646*b + 617?\nAnswer: -399520*b**3 + 5070*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2995 - -422297\/141. Is d > 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.01 + 0.01. Let v = x + 1.4. What is the third smallest value in 0, v, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 828462*(-2)\/(-4)*-1. Let p = b - -845445772\/2041. Let x = -1\/157 - p. Which is smaller: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 733*d = 439*d + 294 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168\/(-36)*(-333)\/6?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-20)\/4) + -6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5*(sqrt(98) - (sqrt(98) + 1))**2 + -1 - (-2*4*sqrt(200)*-2)**2.\nAnswer: -51194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-71)*-1*2\/8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(-2)\/(-56)*6 + 53 + 13048\/(-392)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -12. Suppose -5 + q = w. Suppose -5*f = 3*z - 216, -4*f + w*f = 2*z - 39. Calculate the greatest common factor of f and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 577*3.2\nAnswer: 1846.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 10:55 AM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8364, 16750, 25146, 33558, 41992, 50454?\nAnswer: 58950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -56130?\nAnswer: 56131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35069, 69919, 104769, 139619?\nAnswer: 174469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1464 - 8*q - 94 + 126.\nAnswer: -8*q + 1496","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3101*s - 530242. Calculate j(-171).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**5\/15 - 286*o**4\/5 + 40898*o**3\/5 - 5848414*o**2\/15.\nAnswer: 2*o**2*(o - 143)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6709\/102 - -413\/6. What is the common denominator of j and 67\/9?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -49 - (136\/(-20 - -3) - 9)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c**3 - 2*c**2 - 2*c - 1. Let v = 77 - 62. Let t(l) = -l**2 + 15*l - 1. Let q be t(v). Give k(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 233712068?\nAnswer: 2, 58428017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3*v - 1. Let n be t(-1). Suppose -n*c - c + 6 = 0. Solve c*k + 4 = 2*a, 4*k = -3*a - 6 - 23 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 3) + -10 + -114 + 118.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 18 * -1299\nAnswer: -23382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 580 = 115*f, 2*y - 3*f = 96751 - 96764 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s**4 + 2*s**4 - 1452 + 1471 - s**2 in the form l*s + p*s**4 + b*s**3 + j + f*s**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -134 or 26\/1067?\nAnswer: 26\/1067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*(0 + -2 + 3). Suppose o + 0*o - 3*p = -1, x*p = 4*o - 23. Put o, -4, 3 in increasing order.\nAnswer: -4, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(4)\/sqrt(2) + 4)**2.\nAnswer: -72 - 32*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of 43*q**6\/5 + 173*q**5\/60 - 806*q**2. Find the third derivative of k(l) wrt l.\nAnswer: 6192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1008) + 0 + 3)*-4 + (1 + sqrt(343))*3 + 1 + -4)**2.\nAnswer: 648*sqrt(7) + 5247","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 36\/21*(17640\/54)\/35\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5022 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -4*u + 33, 5*s - 3*s = 3*u - 19. Solve -11*p - 12 = -u*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (3 + -3 + sqrt(125) - (sqrt(125) + -4 + (sqrt(125)*-4)**2)).\nAnswer: -1999","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 916\/10 + 7 + 297\/(-45). Let z(o) = 79*o - 234*o + a*o + 76*o. Let q(w) = w**2. What is z(q(y))?\nAnswer: 13*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29773.\nAnswer: 19, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a kilometer in meters?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 15993 = -2235. Suppose 2*k + b = 9*k. What are the prime factors of k?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 2:28 AM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 141*f + 16638. Give a(-113).\nAnswer: 705","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 215?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1151, -3981, -8569, -14921, -23043, -32941, -44621, -58089?\nAnswer: -73351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 138*j**2 + 118*j + 22763. Determine w(140).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3949 - -24220. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -310.708 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 69 + 31 = 0. Let z(c) = -c**3 + c**2 - 2. Let t be -1 + 1 + (-6)\/3. Let g be z(t). What is the greatest common factor of x and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(3 - -2) + 0. Suppose -4*n + f*x + 6 - 1 = 0, n + 3 = -3*x. Suppose 2*a - 4*a + 30 = n. Does 6 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*t - 40*t + 49*t + 64*t.\nAnswer: 114*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1*(3 + sqrt(2816) + 0 - sqrt(2816) - (sqrt(2816) - (sqrt(2816) + -2 + -5 + sqrt(2816)))) + 2)**2.\nAnswer: -128*sqrt(11) + 2832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, w: 4, e: 2, q: 6}. Give prob of sequence qq.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 88 + -25. Let g be 29\/(-7) + 9\/z - -7. Suppose -3*s - 1548 = -g*c, s = -3*c + 5*c - 1035. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6008 (b) 440 (c) -1\/5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -157*c**2*w - 139*c**2 - 2*c + 14*w**3 wrt w.\nAnswer: -157*c**2 + 42*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 11:29 PM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2854 + 155571. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1007 - 1007 - 6*n in the form t + s*n and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.9 - 0.1. Let c = -63 + 63.995. Let g = 0.005 + c. What is the nearest to l in 0.2, 0.1, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2119 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/6)\/(221\/(-51))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 59385971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38193*q**2 + 467*q + 37*q - 38192*q**2.\nAnswer: q**2 + 504*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z + 29. Let f be p(-11). Solve -f*x - 40 = 13*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -31, -26, -37, -70, -131, -226?\nAnswer: -361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 47\/3, -0.5, 100?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -147, -127, -95, -51, 5, 73?\nAnswer: 153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 342 and 954?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddq when four letters picked without replacement from qddqqqqd.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46492, -46489, -46488, -46489, -46492, -46497?\nAnswer: -46504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 6 + 0 = 0. Let m = 57 - d. Does 28 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16 and 5?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*z + 2*a - 1, 3*z - 5*a = 29. Sort z, 5, 7.\nAnswer: z, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.58 times 0.07\nAnswer: 0.0406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 4*p**2 - 5. Let d be m(4). Let i(n) = -66*n**2 - 5*n + 142*n**2 - 77*n**2. Determine i(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 4*j = 12. Calculate the common denominator of 13\/18 and ((-37)\/j)\/((-4)\/16).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 31.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a century?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 356 = 3*o - a, 0 = 3*o - 4*a + 2*a - 361. Suppose -j + 31 = -b + 3*b, -71 = -5*b + 4*j. What is the remainder when o is divided by b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 1:39 AM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (16\/(-8) - -6) + 0 + -2. Solve -1 = -h*t + 3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7 - (-2)\/(-1 - -3). Let a be (-2)\/8 + (-6)\/k. Let g = -31\/2 + 153\/10. Which is greater: a or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - k + 7 = 0, 3*o - k - 39 = 2*k. Suppose 2*g + a = 77, -7*a + o*a = 15. Suppose -20 = -0*f - 5*f. What is the highest common factor of g and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 118\/4 - 4*(-9)\/(-24). Let m = k + 27. Let l be (2\/(-5))\/(2057\/m). Which is smaller: l or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 15*z**2 + 5*z - 72. Let g be u(15). Solve 0 = -g*n - 3*w - 21, 11 = -5*n - 4*w - 22 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2180 a factor of 1091604480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -98, 16, 167, -4, 12, -3 in decreasing order.\nAnswer: 167, 16, 12, -3, -4, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, -368828, 0.515, 2\/5?\nAnswer: 0.515","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of k**5\/60 + k**4\/3 + 5*k**3\/2 - 8*k**2. What is the units digit of q(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + 2 + -2 + 0. Suppose -a + 2 = -m, -7 = -m + 4*a - 18. Suppose 3*f - u*f = -m. Let v(g) = 4*g**3 - g**2 - g - 1. Calculate v(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s + 88, -r + 0*r + 5*r + 22*s - 27*s = -106 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5347147, 5347142, 5347137, 5347132, 5347127, 5347122?\n\"Answer: -5*j + 5347152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of -k**4\/4 - 78*k**2 - 1. Let i(h) = -5*h**2 - h**2 + 2*h**2. What is i(w(g))?\nAnswer: -144*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a meter in millimeters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - (-2 + sqrt(7))) + 0)*2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 6*d - 7. Let l be s(7). Let p(m) = -m + 6. Let b be p(l). Suppose 0*t - 3*t = -b. Let c(h) = h**2 - h - 2. Calculate c(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14403 + -211?\nAnswer: 14142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of l**7\/630 + l**6\/180 + l**5\/180 - 8*l**2 + 10*l. Let k(z) be the first derivative of t(z). Let k(d) = 0. Calculate d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113025?\nAnswer: 3, 5, 11, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1291183059 to the nearest integer?\nAnswer: 1089","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 7*a**2 + 5. Let m be l(-7). Let n(d) = 10*d - m*d + 3*d + 0 - 9. What is the tens digit of n(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -11, -16, -23, -32, -43, -56, -71?\n\"Answer: -z**2 - 2*z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 36 times 0.25\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25907 - 2*g + 25907.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 4*v - 24. Let 91*w**v + 12*w**5 + 66*w**3 - 2*w - 38*w**4 + 12*w**2 - 6*w = 0. What is w?\nAnswer: -2, -2\/3, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 560*u - 70 = 546*u. Let n be (-78)\/(-4) - 2\/4. Which is the second biggest value? (a) -6\/7 (b) u (c) n (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*k + 290 = -10 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 27*x - 22*x - 35, -21 = -3*u - 2*x. What is the smallest value in u, 1\/3, -3092?\nAnswer: -3092","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(6*(-5)\/(-10))*1920\/160?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8601, -8611, -8621?\nAnswer: -8631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o - 3. Let w(p) = -25*p - 2 + 2 + 0. What is the remainder when w(-1) is divided by h(8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 374937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 t when two letters picked without replacement from qbbbtbbltqllqbtbbbbt.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006276 to 5 decimal places.\nAnswer: 0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7112, 14223, 21332, 28439, 35544, 42647?\n\"Answer: -f**2 + 7114*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.2 * -2.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75896?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1220.21 and -3171.\nAnswer: 3869285.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {j: 2, d: 4, r: 10}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*l**2 + 23*l**2 + 11*l + 22*l**2 - 11*l.\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 15397f - -15?\nAnswer: 153994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(-1\/6)*a))**(7\/9))**22 assuming a is positive.\nAnswer: a**(77\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r + 7*r + 2*r)*(7*r**4 + 2*r**4 - 4*r**4) - 3*r**5 - 2*r**5 - 5*r**5.\nAnswer: 10*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 13 = -244*p + 247*p, u - 13 = p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j - 3. Let v = 562 - 534. Let q be 116\/28 - (3 + (-80)\/v). Calculate o(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21085697?\nAnswer: 29, 271, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2588*z**2 + 4*z - 4*z + 2589*z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.02 less than or equal to -56441?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 6*k + 39 = 0. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-2)\/(10*-1)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 13\/102 (c) 5 (d) -0.093 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 14*v - 20 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**3 - 3*v**3 + 3*v**3)*(16031 - 6017 + 29968 + 2995 + 11532 + 22085).\nAnswer: 153188*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 416 - 210 - 11903*h**2 - 206 - 16914*h**2 to b + t*h + l*h**2 and give l.\nAnswer: -28817","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.954755 - -2.96. What is t rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 2*q + 13*q**2 - 2 - 4 to z + f*q + c*q**2 and give c.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-5 + ((sqrt(13) + sqrt(416)\/sqrt(2))**2 - sqrt(156)\/(sqrt(24)\/sqrt(2))) - ((sqrt(117) - sqrt(117)*2)*4)\/(sqrt(72)\/sqrt(72)))*2.\nAnswer: 22*sqrt(13) + 644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 12 = -2*v, 7*m + 3*v - 8 = 3*m. Suppose -m*p = -5*r + 65, 0 = 5*p - 2 + 22. Let z = 689 - 653. Calculate the greatest common divisor of r and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - 1. Sort -2\/5, z, -1\/8 in decreasing order.\nAnswer: -1\/8, -2\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -684.67 + 5.98.\nAnswer: -678.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/4*16\/14. Suppose 0 = -5*k + s + 5, 4*k + 2*s - c = -0*k. Sort 3, k, -4 in increasing order.\nAnswer: -4, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 65299992 to the nearest integer?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 294850 to the nearest integer?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1710349519 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -3.02.\nAnswer: 15.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g - 4 + g**3 + 4 + (-6*g**3 + 4*g**3 + 0*g**3)*(-1 + 1 - 1) - 5*g**3 + g**3 - 3*g**3.\nAnswer: -4*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*3)\/((-243)\/486).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.1 - -9218981?\nAnswer: 9218961.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10508 - 7106. Suppose b = -a - 18198. What is b rounded to the nearest 1000?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -362.8 + 360.8. Let m = -6 - -10. Which is the closest to 2\/5? (a) -1\/5 (b) j (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of y**6\/120 + y**5\/60 + y**4\/12 - y**3 + 9*y**2 + 4*y + 40. What is u(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -5. Let f be (-1)\/((-27)\/75) - 1\/(81\/(-18)). Let s = 6 - 1. Solve -6 = c - 5*n, -f*n + 6 + r = -s*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7786 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**3\/s**12)**(-19))**(-26) assuming s is positive.\nAnswer: s**(-4446)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 8:06 PM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -4\/57, 0.1, -2\/5, 1\/7, -26?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(84)\/sqrt(7))**2.\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40364?\nAnswer: 2, 10091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6583 - 3?\nAnswer: 6580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226635707.\nAnswer: 257, 727, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/31)*((h*h**(-1\/3))\/h*h)\/((h*h**(-2\/5)\/h*h)\/h)*(h**48)**(-15) assuming h is positive.\nAnswer: h**(-334319\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 14, l: 1}. Give prob of sequence ol.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - (1 - 5 - -15). Let w = 4 + -8. Let t be m*1*2\/w. Solve 2*v = -2*y + t - 1, 0 = -5*v + 20 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3 + 597*k**2 + 17754*k - 154560.\nAnswer: 3*(k - 7)*(k + 46)*(k + 160)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 47*p - 43*p - 15, 2 = -5*u - p. Sort -3, -13, 4, u in increasing order.\nAnswer: -13, -3, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -982, -980, -978, -976, -974?\nAnswer: -972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7898, -7772, -7614, -7424, -7202?\n\"Answer: 16*s**2 + 78*s - 7992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*m = -20*m + 11541 - 4121. Let l be ((-2)\/(-4))\/(1\/120). Calculate the greatest common divisor of l and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, f: 6, v: 3}. Give prob of picking 1 v and 2 w.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-8) + (-846)\/84 + 0 - (0 - 13)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 115 and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1030299000 rounded to the nearest 1000000?\nAnswer: 1030000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of -j**7\/21 - 9*j**5\/4 - j**4\/12 - 81*j**2\/2 + 100*j. What is the third derivative of v(y) wrt y?\nAnswer: -120*y**2 - 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -16082, -16085, -16088, -16091, -16094?\n\"Answer: -3*r - 16079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1966040494.\nAnswer: 2, 11, 89365477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 90 + (-80 + 94 - (18 - -9))\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 <= 109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/5 + 34596424*b\/5 - 299228138396944\/5.\nAnswer: -(b - 17298212)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*i + 613 + 862 = 0. What is the remainder when i is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 0, 3, -1 in decreasing order.\nAnswer: 3, 0, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 441909700 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 2:12 PM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/9)*c**6*(c\/((c\/c**(-2\/9))\/c))\/(c*c**11*c) assuming c is positive.\nAnswer: c**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1363*t**3 + 685*t**2?\nAnswer: 8178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00050455 to 5 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 331713?\nAnswer: 3, 36857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 3:18 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2257 - -6932. Does 16 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 86\/4 + 75\/50. Is -2 not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 3*d + 2963, 2*k - 2133 = -3*d - 656. Suppose 10*i - 15*i = k. Let q = i + 280. Does 22 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 7*u**2 - 4*u - 5. Does 10 divide d(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 6*s + 33. Let o be y(4). Suppose 3*w - 4*w + 2 = 0. Is o equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19852, 79286, 178342, 317020, 495320?\nAnswer: 713242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/5 and 258\/(-104) - -2 - (-18)\/(-72).\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 264 and 847752?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10 - k**2 - 7*k**4 + 2*k**4 + k**2 wrt k.\nAnswer: -20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**4 + d**3 - d - 1. Let v(s) = 5*s**5 - 3*s**4 + 3*s**3 - 4*s - 3. Let b(w) = 3*a(w) - v(w). What is the second derivative of b(p) wrt p?\nAnswer: -100*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 83, -644, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20 in 0, 0.1, -26\/75, 0.5, 12.9?\nAnswer: -26\/75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-2*20\/16)\/((-30)\/60)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 23*o + 7. What is v(-1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277 is divided by 147?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26444639?\nAnswer: 13, 17, 119659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 2*i**2 - 2*i. Suppose 4*f + 4*a - 20 = 0, 8 = 2*f - 2*a - 6. Let h(m) = -2*m + f*m**2 - 7*m**2 + 3*m. Give 6*h(l) + 3*w(l).\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 9*o = 68. Let y(t) = 24*t - 13. Let b be y(o). Is b\/(-2) + (-15)\/10 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a hour in seconds?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 38, -14, -1, -5, -3, 232 in decreasing order.\nAnswer: 232, 38, -1, -2, -3, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -2*w - 0*w. Let h = w + 40. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bvbm when four letters picked without replacement from {m: 2, v: 1, b: 4, u: 2, l: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -771, -769, -765, -759, -751?\nAnswer: -741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16639*y**2 + y + 18681 with respect to y.\nAnswer: 33278*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 3*f + f)*(-80 + 80 - 31*f).\nAnswer: 62*f**2 - 93*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -1\/5, -10, -56875 in decreasing order.\nAnswer: -1\/5, -2\/9, -10, -56875","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 12:08 PM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 2\/(-2) - -3. Solve -r = s*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 15, 23, 43, 81, 143, 235, 363?\n\"Answer: d**3 + d + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -351*d**4 - 3 + 2 + 350*d**4 - d - d**3. Let l(r) = -r**4 - 2*r**3 - 8*r - 2. Let z(s) = 2*i(s) - l(s). Find the second derivative of z(o) wrt o.\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3264729?\nAnswer: 3, 13, 97, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -75 - -78. Which is the third biggest value? (a) -2\/7 (b) -2 (c) -1 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000020666 to 7 dps.\nAnswer: -0.0000207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of 7\/30*j**3 + 0 - 32*j - 1\/60*j**4 - 3\/5*j**2. Factor x(q).\nAnswer: -(q - 6)*(q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8437707 is divided by 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(2\/(-2)*2). Let u(j) = d*j + 2*j - 4*j. Let v(n) = -2*n**2 + 4*n**2 + 0*n**2 + 0*n**2. Determine v(u(m)).\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -96.3 - -96. What is the nearest to b in 2, 5, 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -86980247 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -154.081 - -0.081. Let m = a - -153.9999984. What is m rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91733219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3740, 6044, 8348, 10652, 12956?\n\"Answer: 2304*n + 1436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1226, 1224, 1220, 1214, 1206, 1196?\nAnswer: 1184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -76 + 24 + -8 - -107\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/11, -5, -0.4, -1\/4, -21\/11 in decreasing order.\nAnswer: -1\/11, -1\/4, -0.4, -21\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.081 times 19.7?\nAnswer: 1.5957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-5))\/((-3)\/(-15)). Solve -5*q - f = 4*n + 10, 5*q + 8 = 2*n for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 10 = -4*c. Let g be (-54)\/(-8) + (-9)\/12. Is g bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -399\/2414 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01438 * 43909.\nAnswer: -631.41142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - 2*j + 3. Let m be g(3). List the prime factors of -5 + m - (-18 + -1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 457 is divided by 42.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(816) + (sqrt(816) + -2*sqrt(816)*4 - sqrt(816))))\/(((-2*sqrt(75) + sqrt(75) + sqrt(75) - sqrt(75)) + (sqrt(27)*2)\/sqrt(9))*-4))**2.\nAnswer: 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 21*q - 26*q + 54396, 4*n - 21768 = -2*q. Calculate the remainder when q is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7205, 7169, 7133, 7097, 7061?\n\"Answer: -36*i + 7241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 11) in base 6?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10\/(-2580))\/(2\/(-202)). Let c = -5\/86 + k. Let d = 1.6 - -8.4. Which is smaller: c or d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 212*d**2 - 646*d + 5097. What is the units digit of f(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -1502 + 6182. Let g = 9889 - d. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 271*m**2 + 1106*m - 49. Is d(-30) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 15*z**2 + 17*z + 17. Let l be b(-16). Is l equal to 6\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 11*j + 2. Let b be o(11). Let r be -1*(0 + -1) + 2. Let g be (5000\/r)\/b*114. What is g rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 + 6 + 11 + 10 - (-8 + -1)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3.6, -3.\nAnswer: -3.6, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 72*o**5 - o**3 + 2*o + 247.\nAnswer: 1440*o**3 - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/20*3)\/((-19)\/(-95))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.027 in -1\/3, 6, -1\/12, 5, -2\/7?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 775 and 59275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/9605 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -33a824 - -254?\nAnswer: -33a580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzmzmzmmmm. What is prob of picking 4 z?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 7*m**2 + 2*m - 7. Let d be w(7). Suppose -186 = -3*b + 2*c - 30, b + 6*c = 92. Calculate the highest common divisor of b and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 5*f + 79. Let q be i(-11). Suppose q*v**4 + 66 + 22*v - 90 + 4*v**5 - 66*v + 40*v**3 = 0. Calculate v.\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 6:22 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1031323 (base 4) to base 13\nAnswer: -2368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + r - 92 = 0, -2*d = 3*r + 16 + 27. Let k = d + 28. What is the nearest to 1 in k, 0.7, 1\/4?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 31*c - 9. Suppose 0 = -5*t + h + 14, -4*t = -0*t - 5*h - 7. Suppose t*r = 5*r - 4. Is d(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of x**4\/8 + 3*x**2. Let d = 37 + -34. Let t(h) = 3 - h - 3*h - d. Determine t(b(o)).\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -4*x, -3*x + 16 = -0*x + 5*v. Suppose -x*u = -0*u - 10. Suppose u*q = 3*q + 26. What is the highest common factor of 13 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 12325410, 12325395, 12325376, 12325359, 12325350, 12325355?\n\"Answer: v**3 - 8*v**2 + 2*v + 12325415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t + 13. Let u be a(-13). Solve -6*z + 3*z + 15 = u for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.28 + -12.72. Let u = 11 + s. Which is greater: u or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6221 != 67\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 299610 to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2500\/18 - 44\/(-99). Let y = f + -141. Calculate the common denominator of 47\/5 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1274454 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*f - 83*f + 27*y - 66 = -37*f, 5*f - 9 = y - 205 for f.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1388065 and 4.\nAnswer: 5552260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -27\/14 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0014238 to five dps.\nAnswer: 0.00142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3 + -2 + ((sqrt(26) + 1*sqrt(26))*2 + sqrt(26))\/(sqrt(128)\/sqrt(4)))**2.\nAnswer: -15*sqrt(13)\/2 + 469\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, w: 3}. Give prob of sequence nwnn.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3648475 and 950?\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 31*m - 11. Let h(g) = 15*g - 6. Let f(v) = -11*h(v) + 6*p(v). Let l(u) be the third derivative of -u**5\/60 - 564*u**2. What is f(l(b))?\nAnswer: -21*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8913402 and 324?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = c + 2*y, 0 = -3*c + 2*y + 68 - 99 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -607 less than or equal to -26102\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 32 = 4*f, -20 - 8 = 4*d + 4*f. Calculate the remainder when d\/6 - (-286)\/6 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10191 - 6628. What are the prime factors of f?\nAnswer: 7, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -168619074 divided by -2?\nAnswer: 84309537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 343 + -160. Suppose -i = -4*i + u. Is 14 a factor of 6\/12 - i\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -14*c**2 - 8*c - 202. Let z(u) = -6*u**2 - u + 6. Give x(k) - 2*z(k).\nAnswer: -2*k**2 - 6*k - 214","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(21 + 20 - 14)*(4 - 4 - 2*p).\nAnswer: -54*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 269746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45863 + 45888. Solve 3*m - 15 = 2*p, 6*m - h = 3*p + m for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 177249\/155 or 1143?\nAnswer: 1143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 171 = -324. Let b be 6*(-1 - 203\/14). Let k = b - o. What is the least common multiple of k and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.125338678 and 0.4506.\nAnswer: 0.325261322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26037 divided by -3.\nAnswer: 8679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1352097217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18*1 + (-8874)\/63 + 123.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and -71.7843.\nAnswer: -73.7843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of t**7\/16380 + t**6\/2340 + t**5\/780 - 11*t**4\/6 + 38*t. Let f(x) be the third derivative of o(x). Let f(w) = 0. What is w?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 2\/9 (c) 0.0218 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g - 68. Let b be c(21). Let x(j) = 3*j + j**2 - 3*j - 3*j + 8*j. Let d be x(b). Solve 1 = -4*y - 3*f, d = -2*y + 3*y - 4*f - 14 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence shb when three letters picked without replacement from shhbhssbh?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 5*z - 22, -1493*z - 5*h = -1492*z + 14 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13534*s**2\/11 + 3633264*s + 5906\/11.\nAnswer: 2*(s + 2953)*(6767*s + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.59321 and 1.7?\nAnswer: -4.408457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (z**3 - 2*z**2 + 2*z**2)*(-5*z + 2*z - 2*z)*((-4 + 1 + 2)*(3 - 2 + 1) + 0 + 2 - 6) as n*z**3 + t*z + f*z**2 + i*z**4 + l and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113 - 229 + 116 + 33*m.\nAnswer: 33*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -210*a - 129*a - 225*a + 827*a.\nAnswer: 263*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5 + 3)*(-1 + -1). Suppose -b + 22 = r*d - 2*b, 2*d = -5*b. Sort 2, d, -20.\nAnswer: -20, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -122.047 rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9364 - 9372. What is the closest to -36 in 5, i, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 2*i = -0*i - 11, 2*d - 18 = -4*i for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 12) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -4*f + 4, 0 = 4*f + f - 3*v - 7. Let j(i) = 4*i - 3*i**f - 4*i. Let t(u) = -u + 8*u - 4*u. Determine t(j(o)).\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c + 85*c**3 - 2 + 6 + 4.\nAnswer: 85*c**3 + 3*c + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58 divided by 207926.\nAnswer: 29\/103963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 - -48 - 88 - (-1 - 22).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + 0*a**3 + 6*a**2 - 3*a**3 + 0*a**3. Let v(d) = -4*d**3 + 8*d**2. Let p(q) = 6*r(q) - 5*v(q). Find the third derivative of p(h) wrt h.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1*sqrt(272).\nAnswer: -3 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/12)\/((-6)\/(-4)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-20)\/(-70) + (395\/(-56))\/5 and 51\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {e: 3, f: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5480623 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*g = 30*g - 20*g + 135 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26315517?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 366831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/23571 - -1862209\/1178550. Calculate the common denominator of 17\/5 and l.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -226, 4, 1, 791 in ascending order.\nAnswer: -226, 1, 4, 791","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**3 + 2*x**3 - 2*x**3 - 3*x**3 + 37*x**3 - 7*x**3 + (4*x - 4*x - 2*x**2)*(0*x + 3*x - 4*x).\nAnswer: 31*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of q**4\/12 - q**2 + 35*q. Let d be t(2). Solve -d*y = 5*c - 2*c - 8, 5*c + 5*y - 20 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1846395 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 2 = 4*s. Let u(p) = -p**3 - 2*p**2 + 2*p - 1. Let f be u(s). Solve 5*k + f = 27 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, o: 12}. Give prob of sequence oqo.\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -256*i*k**3 + 2*i*k**2 + 775*k**3 wrt i?\nAnswer: -256*k**3 + 2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 178, 96, -254, -878, -1782, -2972, -4454, -6234?\nAnswer: -8318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 27, 58, 89?\n\"Answer: 31*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -28*u**3 + 39140*u**2 + 2329392*u - 2025360 = 0.\nAnswer: -58, 6\/7, 1455","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 60*a + 42 + 3 + 3*a**4 - 20*a**3 - 10*a**2 + 2*a**4.\nAnswer: 5*(a - 3)**2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of 247*j**3\/6 - 1081*j**2\/2 - 2*j - 373. Differentiate c(w) wrt w.\nAnswer: 247","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 50*j**2 + 4*j + 1. Suppose 10*w = 5*w - 20. Let o be m(w). What is the third derivative of -785*y + 22*y**2 + 4*y**5 + o*y wrt y?\nAnswer: 240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 w when three letters picked without replacement from {w: 8, t: 6, x: 1}?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2543 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -2*n - 4, -n + 6 = -x - 1. Suppose -n*g = 5*t + 2, 2*t + 11 = -0*t - 5*g. Suppose 5*f - t = 23. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 22 = -5*g, g - 275*z + 279*z + 17 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -0.1 (b) 1\/17 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/2)\/(4\/((-40)\/5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 5. Solve 0 = 3*j + 9, 0*b + 4*b = -3*j + m for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -58 - -38. Let x(m) = -m + 2. Let z be x(4). Let s = z - g. Does 9 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/3*60\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 26, 0.16, 108080?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1398.901096 to the nearest ten.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 78?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*g - y + 24, 5*y - 17 = 2*g. Suppose -s - 10 = g*s. Sort 0, s, 4.\nAnswer: s, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1332 (base 4) to base 6.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/11 (b) 0.1 (c) 1\/5 (d) 5 (e) -2 (f) -15.69\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m - 3. Let s be r(7). What is the highest common factor of s and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(13))**2 + 2 + ((1*sqrt(13))**2 + sqrt(13))*5.\nAnswer: 5*sqrt(13) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1056132 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - -2)*(-710)\/(-20) - 5. Let m(t) = -5*t - z*t**2 - 1 + 3 + 67*t**2. Suppose x = 2*j - 5, -3*x + 0*j + 17 = 2*j. Calculate m(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208531891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9737?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/15 and -47\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34947?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 - 10660*w + 18 + 20.\nAnswer: -10660*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 31355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m\/((m*m*m\/(m*m**(-19)))\/m)*m)\/m*m*m))\/m*m**(5\/8)*(m\/(m\/m**4))\/m**(-25) assuming m is positive.\nAnswer: m**(373\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -23*m + 119. Let v be x(5). Suppose 5*p + 2*i = 64, -2*p = -5*i + v*i - 31. What is the greatest common factor of p and 1036?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2*sqrt(300) + sqrt(300)) + 1)**2 + 3.\nAnswer: -180*sqrt(3) + 24304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 424 and 43619?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - 15*x**2 + 19*x + 49. Let j = -252 + 236. Let h be b(j). Solve 5*u + 35 = -0*u + 5*q, -h = u + q for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-17086.7.\nAnswer: -68346.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.09114 + -0.09132351. What is u rounded to five dps?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4*z - 1. Let y(c) = -90*c + 22. Let u(h) = 88*q(h) + 4*y(h). Let x(g) be the first derivative of -2*g**2 - 1. Calculate u(x(l)).\nAnswer: 32*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -431.4 - -436.077. Let h = 4.8 - o. Let a = -0.049 + h. What is a rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3498 divided by -33?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 12*w - 17. Let d be r(-10). Suppose -n + 6*n = -3*b + 27, d*n = 9. Let a = -2 + 4. Solve -a*g = 2 - b for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -8 (b) 1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 46 = 134. Let u be (-1)\/6 - (-5)\/f. Suppose u = -2*d - 2*d + 20. Solve -z + 2*z = d for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 21*w**2 - 317*w + 3524. What is g(15)?\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*w - 2*w. Suppose 3*b + 4 = 2*b, -2*m + w*b = -12. Sort m, 4, -5 in increasing order.\nAnswer: -5, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134769889255 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -534 + 559.1. Let q = r + -25. Which is the nearest to -0.1? (a) -2\/17 (b) q (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64\/(-26208)*-13*-9.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 8 = -2*w. Let z be (2 - 48\/15)\/(36\/(-120)). Suppose -1 - z = -5*y. Calculate the lowest common multiple of y and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16616.\nAnswer: 2, 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5468, -21888, -49256, -87572, -136836, -197048, -268208?\nAnswer: -350316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**0*g*g\/(g*g\/g**(2\/23))*g)\/(g**(1\/4)*g)**25)**(-26))**(-36) assuming g is positive.\nAnswer: g**(-649350\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5)\/(-25))\/(4\/(-1630)). Let m = j - -1789\/22. Which is the second biggest value? (a) m (b) -4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 10 (b) -3308 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.66 + -0.04. Let u = 10 + t. Round u to 0 dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/2*((-256)\/704 - 830\/77).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*l - 29*l - 28 = -x, -5*x - 4*l = 28 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -x**5\/20 + 631*x**4\/4 + 5*x + 1152. Factor c(v).\nAnswer: -v**2*(v - 1893)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from wyywwy?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50 + 79\/((-2054)\/2184).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -7*s**3. Let z(y) = -2*y**3. Suppose -3*t = -d - 178 - 308, -2*t - d = -324. Suppose -5*v = 147 - t. Determine v*f(p) - 8*z(p).\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.181*-0.015.\nAnswer: -0.002715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44 + -15 - -84 - 3?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109969746?\nAnswer: 2, 3, 59, 241, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-12)*120\/(-30).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z, -w = -3*w + 5*z - 86. Let t(n) = -2*n**3 + 4*n**2 - 5. Let o be t(5). Let c = o - -112. Is w < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-6) + 74\/6. Suppose q = c + 2*c. Is c greater than 5\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5660.963 micrometers in kilometers?\nAnswer: 0.000005660963","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o - 4 = -6*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (4\/10)\/((-10)\/(-25)) and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10299\/5 + -2059. What is the biggest value in -1, k, 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 616006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -76 + 132. Let o = 55 - d. Let a(q) = q**3 - q. Let k(u) = 7*u**3 - 3*u**2 - 3*u - 2. Let h(i) = o*k(i) + 6*a(i). Determine h(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 492, 74, 0.98?\nAnswer: 492","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7917938 to the power of 1\/2, to the nearest integer?\nAnswer: 2814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107647 is divided by 841.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 1:52 AM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-550)\/(-385))\/((-35)\/(-21)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4*h**3 + 1063*h**2 + 2015*h + 44077. What is f(-264)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s = 4 - 22 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*w = -65*w + 632. Let g(q) = 2*q**3 - 10*q**2 + 12*q - 10. Give g(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/11*(-539)\/(-28).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + -1 + 9 + -2. Let d be 2 - 14*z\/45. Which is the second biggest value? (a) d (b) -3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-4)*(-6 + (-17 - -21))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -465, -931, -1397, -1863, -2329?\nAnswer: -2795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1589324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2114685?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5587453 (base 9) in base 14?\nAnswer: 585137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 41602665 - 47\nAnswer: 41602618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 3*d**3 - 2067*d**2 - 337080*d + 312641700 = 0?\nAnswer: -371, 530","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*o)*(0 + 0 - 2*o**4) - 8 + 8 + 8*o**5.\nAnswer: 12*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4319284*m**3 - 2*m**2 - 39276176.\nAnswer: -12957852*m**2 - 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 5*p. Suppose -4*z = -5*q + 261, p = -3*q - 10*z + 5*z + 127. Suppose 13 = 5*m - 72. What is the remainder when q is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 + -0.1. Let l = -1144 - -819. Let s = 322 + l. Which is the third smallest value? (a) s (b) -0.06 (c) j (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10484, 34901, 73266, 125579, 191840, 272049?\nAnswer: 366206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/10)\/(77\/(1771\/92)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7738236857*s - 7738236857*s - 26*s**3.\nAnswer: -26*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 7\/2 (b) -0.3 (c) -4 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011010000100011110 (base 2) in base 5?\nAnswer: -43301201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 3*k**2 - 5370*k - 35617725 = 0.\nAnswer: -2665, 4455","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -49*s + 290. Give w(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1615?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -69.45 - -68. Let p = z - 0.05. Let l = p + -2.5. What is the closest to 0.1 in 0.4, 2, l?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r*r*r**3*r))\/r*r*r*r**(-3)*r)\/((r**(-3\/2)\/r*r)\/(r\/((r**(-5)\/r)\/r*r))))**(2\/7) assuming r is positive.\nAnswer: r**(5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4050819 and 342.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1698 + 300 = 18*m. What are the prime factors of m?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 14*k**2 - 15*k + 10. Let h be d(-5). Calculate the highest common factor of h and 3190.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 467834845*c**3 - 7*c**2 + c - 477335 wrt c?\nAnswer: 2807009070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 = 3*s - u, 0*s = -s + 4*u + 42. Let a = s + -17. Is 7 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = q + 5*l - 15, -5*q = -5*l + 40 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-36)\/(-270) + (-14474998)\/(-15). What is s rounded to the nearest ten thousand?\nAnswer: 970000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (240\/(-300))\/((-15)\/((-600)\/(-464)))?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 j, and 1 q when three letters picked without replacement from qzzqjldzjzzz.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.5573 - 4.5573. Let a = 23.45 - 23. What is the smallest value in w, a, -0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/73 (b) 4\/3 (c) -5 (d) 5 (e) -3\/2 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 4*c - 9. Let p = -65 + 67. Let g be (-6)\/((-1)\/p*2). Let k(y) = -3*y + 8. Calculate g*k(w) + 5*b(w).\nAnswer: 2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16213187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-16\/7)\/v)\/(v\/(v*v\/(v\/(v*v**5))*v)) assuming v is positive.\nAnswer: v**(26\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.997 - -8. Let p = -2.24366 - -2.246. Let z = p - q. Round z to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*x + 99*p = 102*p + 33, 0 = 30*x - 5*p - 275 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/196248977?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2\/5, -10\/3, -66, 0.5 in descending order.\nAnswer: 3, 0.5, 2\/5, -10\/3, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2031274 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -525097*o + 525097*o + 2*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1241, 1240, 1239?\n\"Answer: -v + 1242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-54)\/4*(-26 - 1764\/(-81))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q. Let j be s(-2). Let w be 12\/j*(-12)\/9. What is the greatest common factor of 16 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 339\/(-791) + 136825\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 6*f**2 + 3*f + 2. Let z be q(-5). Factor -64 - 4*s**3 + 52*s**2 + 63*s**3 - 48*s + s**5 - z*s**3 + 12*s**4.\nAnswer: (s - 1)*(s + 1)*(s + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*r - 17*r - 2 + 17*r as w*r + l and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 231, 3, -18, 743, -5 in ascending order.\nAnswer: -18, -5, 2, 3, 231, 743","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4*2434\nAnswer: 9736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 1. Let j be -1 + (3 - f - -1). Let m = 0 + j. List 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 the first derivative of 43737233*y + 17890497?\nAnswer: 43737233","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124688341.\nAnswer: 1723, 72367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-15232)\/(-12))\/(-34) + (-2)\/3. Sort 3, -4, -3, q, 4 in increasing order.\nAnswer: q, -4, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -132258383 - -132259556.00803. Let s = -1173 + p. Round s to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 4. Let o = 6 + -5.9. Which is the smallest value? (a) -0.3 (b) o (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 106*t + 1346. What is the least common multiple of p(5) and 10?\nAnswer: 9380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89992 smaller than 6209390\/69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.19 - 3.81. Let u = -7.7 - -3.9. Let j = f - u. What is j rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**3 + 31*k**2 - 136*k + 140 = 0 for k.\nAnswer: -35, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4144 or 5571?\nAnswer: 5571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1094 - -18419. Is p a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10001120022100 - 102?\nAnswer: -10001120022202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1207262411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 + 53 = 19*w - 1 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 100 + 2900. What is n rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3393 - 278847 = -72*o. Is 13 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 288094?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and -11969735457?\nAnswer: 11969735461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11374754?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2282 or 228428?\nAnswer: 2282","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -19, -29, -39, -49?\n\"Answer: -10*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i. Let k(z) = -221*z + 1. Calculate v(k(t)).\nAnswer: 221*t - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -77\/9707 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/2, 4383.\nAnswer: -3, -1\/2, 4383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 592, 907, 944, 703, 184, -613?\n\"Answer: -139*g**2 + 732*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 85 + -85. Suppose -3*k + 8*k - 175 = p. Suppose k = g + 27. What is the least common multiple of 8 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, -8, -50, -130, -260, -452, -718, -1070?\nAnswer: -1520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-29 + 10 - 3)*(-6*o + 6*o - 24*o + (-2*o + 0 + 0)*(7 + 12 + 17)) as v*o + k and give v.\nAnswer: 2112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a + 582. Let z(h) be the second derivative of h**3\/6 - 530*h. What is r(z(v))?\nAnswer: 2*v + 582","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 35381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*x = -221*x - 615*x + 483025. What is the remainder when x is divided by 42?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p - 39. Let f(j) = -3*j - 77. Let k(c) = -4*f(c) + 7*h(c). Let a be k(-7). Suppose a = -79*l + 78*l + 9. Solve 6*o - 3*o + l = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of g**4\/4 + g**3\/2 + 2*g. Give c(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 12, -4, -1, -5 in ascending order.\nAnswer: -8, -5, -4, -1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3900 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/2632380 and 151\/12.\nAnswer: 2632380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9128213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/711 and -74\/711.\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of l**3\/3 + 3*l**2 + 3. Suppose -2*u = 4*o + 24, -5*o - 39 = 2*u + 2*u. Let k be n(u). Solve -2*r = -k + 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 27685*c + 387967. What is t(-14)?\nAnswer: 377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = 8*x - 22. What is the remainder when (-5)\/(-10)*(-1 + x) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -5, 9, 4, -4, 3 in descending order.\nAnswer: 9, 4, 3, -4, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 959.732 rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 63229 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 2*r - 3096 + 10164, 3*r = 5*j - 8813. Suppose 4*p = -4*b + 1720, -5*p = -3*b - b + j. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w - 1. Suppose -3*f = -7*f + 12. Let u(n) = n - 1. Let t(y) = 8*y - 8. Let a(v) = t(v) - 6*u(v). What is f*g(q) - 2*a(q)?\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -o + 6, 0 = 3*r - r + 5*o - 22. Let f = 2.8 - 2.8. Which is the second smallest value? (a) 3 (b) f (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*d - 4 = 0, 0*d + 3*d + 3 = 0. Suppose 69*g - 68*g - 141 = i. Is 70 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s + 1. Let i be f(-2). Let g(u) = i*u + 0*u - 4*u + 5*u. Let j(n) = -2*n**2. Calculate g(j(k)).\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -78108.62 times -0.3?\nAnswer: 23432.586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -23 - (-10 - (-54 + 25))\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 31718952 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -l**5\/20 + l**3\/3 + l**2\/2 + 2*l. Let o be m(-1). Let c = -16\/3 - -61\/12. Put c, o, 2 in descending order.\nAnswer: 2, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -y + 2*g, 57 = 2*y + y + 3*g. Suppose 124 = 4*j + 20. Calculate the remainder when j is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-22)\/99 + (-1174)\/(-18) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7019.649 months in millennia?\nAnswer: 0.58497075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.055 + 0.08. Let f = h + 0.975. Which is the biggest value? (a) 1\/4 (b) f (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -7 - -2 - 25 - -10 - -24.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1208, 1307, 1406, 1505?\n\"Answer: 99*n + 1109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -91292 by 116.\nAnswer: -787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 6. Let y be (-1 - b)\/((-1)\/(-5)). Sort -3, -4, y in decreasing order.\nAnswer: y, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 4*z**2 - 4*z - 1. Let v be s(-3). Suppose f + v = -2. What is the units digit of (-302)\/(-18) + f\/(-18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14562309, -14562308, -14562307, -14562306?\nAnswer: -14562305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 20\/91 and 267 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -53 - (8 + -69) - (-26 - -1)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 10*i**2 + 3*i + 16. Let j be (0 + -10)*(-4 + 6 + -3). What is the tens digit of x(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - 6*p**2 - 4*p - 13. Let c(k) = -k**3 - 52*k**2 - 50*k + 45. Let w be c(-51). Let s be l(w). Solve s - 5 = 3*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1410789 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.07, 0, 0.04396474?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.2 - -2. Let d be (-5 - 0) + -5 + 9. Let l = 0.7 + 0.3. What is the nearest to d in l, -1\/4, p?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 210052893?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0\/5)\/(2 - 2 - 2). Factor 1\/5*m - 1\/5*m**4 + 1\/5*m**2 - 1\/5*m**3 + i.\nAnswer: -m*(m - 1)*(m + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/(3465\/(-44))*(-170)\/(-51)?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -6*(-5 + 1 + sqrt(8)\/(2*sqrt(20)\/sqrt(5))).\nAnswer: -3*sqrt(2) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -44982\nAnswer: 1\/7497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 248*j - 6660. Calculate the remainder when z(-159) is divided by 1498.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1081573583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - 0. Let j = w - -4. Let m = -15\/4 + 53\/12. What is the closest to -2 in -5, j, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 2*t = 4, 2*t = -30*k + 28*k - 16 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/3, -0.7, 2\/5, -220, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1.6, -2\/17.\nAnswer: -1.6, -2\/17, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 7:12 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -738, -2921, -6558, -11649, -18194, -26193?\n\"Answer: -727*i**2 - 2*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**3 + n**4 + 2*n**3)*(-3*n + 4*n - 3*n) + 70*n**5 + 363*n**5 - 125*n**5.\nAnswer: 306*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 294.1799 tonnes in nanograms?\nAnswer: 294179900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**4 - j**4 + 0*j**4)*(0*j - 2*j + 0*j) + 159*j**3 + 2*j - 159*j**3 - 3*j**5.\nAnswer: -j**5 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**2 - 81264*p - 825479712 = 0.\nAnswer: -20316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.003 in 0.4, -10371, 5, -5, 7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 0.1. Let o = -1.01 - -0.01. Let w = 5 + o. What is the closest to -1\/2 in w, t, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 3*c = 3*a - 1 - 19, 6*a + 57 = -3*c for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -366 + 366.3. Sort -0.1, -2, j, 5 in ascending order.\nAnswer: -2, -0.1, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 2*z + 3*z - 40, -3*v + 8 = z. Factor -b**2 - z - 3*b**2 - 8*b + 2*b**2.\nAnswer: -2*(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175*j**3 + 424*j**2 - 424*j**2 - 134*j**3.\nAnswer: 41*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4811, -9816, -14821?\nAnswer: -19826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/7 + 120*j\/7 - 248\/7.\nAnswer: 2*(j - 2)*(j + 62)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - 2. Let d = 32 + a. Is 14 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-2\/11))\/(s*s**1)*s*s\/s**(-3)*s**6)\/((s**0\/s)**10)**36 assuming s is positive.\nAnswer: s**(4068\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b - 4. What is j(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 110656 a multiple of 133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, 0.03, 0.12, 4\/5, 0.5 in decreasing order.\nAnswer: 4\/5, 0.5, 0.12, 0.03, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1223615?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.53354 years in millennia?\nAnswer: 0.07253354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5607?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -22, -23, -20, -13, -2, 13?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 110 = i + 2*s, 54 = 2*i - 2*s. Calculate the remainder when (-1)\/(7*(-20)\/15540) is divided by i.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267231525 a multiple of 3993?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 30 = 5*y, 2*y = 3*m + 2*m + 39. Let x(v) = -4*v + 22. Let j be x(y). Let k be (-35)\/(-14)*j\/(-5). Solve k*a + 2 = 14 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -19\/4, 23, 0, 0.1?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvqvvfvvqwffvvvv. What is prob of sequence wvf?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27.3 - -26.8. Which is the third smallest value? (a) -1 (b) 0.143 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zrzz. What is prob of sequence rzz?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-150)\/(-35))\/((-16)\/(-392)*7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - -5 - 6) + 2*1. Let s(l) be the second derivative of -3\/4*l**3 + u + 0*l**4 + 3\/2*l**2 + 3\/40*l**5 - 3*l. Factor s(m).\nAnswer: 3*(m - 1)**2*(m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of 1\/6*g**3 - 21*g + 3\/2*g**2 + 1\/2*g**4 + 1\/20*g**5 + 0. Give r(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4012 and 295.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 69 = 237. Suppose -294 = 45*y - 1554. Calculate the smallest common multiple of b and y.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, 1, -0.7798089?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + q + 1. Let u(t) = 2*t**3 - 9*t**2 + 6*t - 5. Let n(k) = 3*c(k) + u(k). Let j be n(-13). Let v = -240 + j. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 - -23.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -76475, -61784, -47095, -32408?\n\"Answer: -v**2 + 14694*v - 91168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -o**4\/12 + 8*o**3\/3 - 12*o**2 - 14*o. Let s be z(14). Solve -7 = -s*n + 9 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-74)\/(-5) - (-108)\/(-135). Suppose 0 = -5*p + 5, -4*n + 6*n - 2*p - b = 0. Solve 0 = -2*r + 2*h, 2*h - 4 = -n for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2 + 1 = 4*o, 4*o - 18 = -2*q. Let f = -7 + q. Calculate the highest common divisor of f and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8521278*f + 31293143 wrt f.\nAnswer: -8521278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 681196 is divided by 16432.\nAnswer: 7484","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8672 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/(-4))\/(-6)*((-20)\/2)\/(-310)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 879, 882, 887, 894, 903, 914?\n\"Answer: n**2 + 878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 8. Suppose 9 = 5*l - u, 2*l + z*u + 4 + 6 = 0. What is the nearest to l in 3, -2\/5, -4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 6731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5 - -0.5. Let n be (3289\/(-115) - -28)\/(9\/21). Which is the biggest value? (a) z (b) 1\/10 (c) n (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3544*j**4 + 18*j + 3?\nAnswer: -42528*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 588871 is divided by 5704.\nAnswer: 1359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 2, -4*t = 2*i + 6341010 + 6858986. Round t to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 3*n + 24 = 0, 0 = 7*n - 12*n - 20. Calculate the remainder when 1\/5 - (-507)\/15 is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -12*c**2 + 5*c + 5. Let p(v) = 2*v**3 - 63*v**2 - 107*v + 262. Let a be p(33). Determine w(a).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15588 and 182726.\nAnswer: 3289068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*f + 62 = 158. Suppose 4*d - 16 = f*v - 36, 10 = 5*v - 2*d. Solve -2*k = -m + k - 4, -3*m + 3*k = v for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, h: 1, v: 1, x: 1, a: 1}. What is prob of sequence gv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -14*h**6\/45 + 11*h**5\/30 + 5*h**4\/18 - 2*h**3\/9 - 7*h. Suppose v(y) = 0. What is y?\nAnswer: -1\/2, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/9 + 50*k**2\/9 - 97*k\/9 + 16\/3.\nAnswer: -(k - 48)*(k - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -4*q**3 - 221*q - 3*q**2 + 8 + 221*q. What is the second derivative of x(p) wrt p?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 13 = -8*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*p - 3*v, -v + 1 = -2*v. Suppose 4*a = -5*z - 12, -a + p*z = -2*z + 24. Which is smaller: a or -7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 6*v**2\/7 + 3812*v\/7 + 1816418\/21 = 0.\nAnswer: -953\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1951*x**3 - 2003*x**3 - 30531*x**2 + 2 + 30531*x**2.\nAnswer: -52*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 71*v + 22. Let g be q(4). Calculate the greatest common divisor of 18 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.8 plus 579.07599?\nAnswer: 593.87599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 2:08 PM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 3*v = -2*m + 2, -v - 4 = 2*m for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 6*q**2 + 2*q - 1. Let u be 0 + -2 - -5 - 2. Let x be p(u). Calculate the highest common divisor of x and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**2 - 2830494 + 3664*f + 7896*f + 2*f**2 - 2328*f + 8157358 = 0. What is f?\nAnswer: -1154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 41384630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7704 - 0?\nAnswer: 7704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -64, -168, -338, -586?\nAnswer: -924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 17*t - 3. Let w be j(24). Suppose -5*r - w + 1645 = -5*h, r + 3*h = 248. What is the tens digit of (r\/(-40))\/((-1)\/5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39850*u + 41356*u - 90360 = 0 for u.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 81\/810*(-1)\/(5\/(-4)). Suppose 3*j = 2*d + 20, 57 = -5*d - 5*j + 9*j. What is the smallest value in -3, t, d, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11918012 and 446.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, b: 1, v: 2}. What is prob of picking 1 b and 2 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 - 1)*(-3*f + 2*f + 0*f)*(-2*f**3 + 6*f**3 + 12*f**3).\nAnswer: 64*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2971?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-2*2\/10). Let p be (2 + f)\/2*1. Sort p, -2\/7, -5 in descending order.\nAnswer: -2\/7, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 5*r + 47. Let i be w(8). Let c = 114 - i. Suppose 2*d = p - 17, -3*p + 76 = -0*d - d. What is the greatest common factor of p and c?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.024 and 32364?\nAnswer: 776.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*5*(-2 + (sqrt(36)\/sqrt(2))\/sqrt(6) + 1*-1*sqrt(3))**2.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 615*b - 294*b + 380*b to the form t*b + u and give t.\nAnswer: 701","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*v - 6615 = -267*v for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -m**4\/24 + 9*m**3\/2 + 57*m**2. What is the remainder when j(11) is divided by -1 - 1 - (-14 - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/(-12))\/((-2)\/(-4)))\/(5\/(-165))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 10:03 AM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18415*-11669.\nAnswer: -214884635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j - 1. Suppose -30 - 2 = 8*u. Let h(a) = 6*a + 4. What is u*l(s) - h(s)?\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(5 - 9*y - 3 + 10*y).\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -404141*r**5 + 4*r**4*z + 6*r**2*z + r**2 + r*z + 623*r - 25*z + 4 wrt r.\nAnswer: -24248460*r**2 + 96*r*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 47*n**2 + 7535*n + 17225. What is t(-158)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 103307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of o**2 - 1. Let j(w) be the second derivative of 0*w**3 + 0 + w - 1\/6*w**4 + 0*w**2. What is j(x(a))?\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12686169 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/6*(-4 - -2). Let g = -19 + 20. Let o = -2.916 - 0.084. What is the nearest to g in q, -2, o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1356 + 1604. What is the remainder when t is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 541731702?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 1. Suppose -36 = -q*n - 4*x + 2*x, -3*n + 2*x = -48. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 29*v**2 - 51*v + 81. Let o be c(-27). Which is smaller: -26\/309 or o?\nAnswer: -26\/309","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/2 + (-2 - -1). Suppose g = p*g. Suppose -3*n - 3*w - 21 = g, 4*w = 6*n - 2*n + 44. Is -8 not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*o + 4 = 0, 3*o + 1 = 5*r - 4. Let z(d) be the first derivative of d**3 - 1\/2*d**2 - 1 + 0*d. Determine z(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 11 = -w + 13, -5*b + 4*w + 4 = 0. Suppose 44 = 4*n - b*h, h + 2*h = -n + 23. What is the common denominator of -83\/33 and 100\/n*7\/21?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8 - (-8 + -369) - (1 + -6) is divided by 46.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75742930 is divided by 1721?\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 339938 - 0.04.\nAnswer: 339937.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47426 is divided by 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-seven fifths of a tonne?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -h - h + 5*l, 52 = 4*h + 2*l. Let z = h - 10. Suppose 5*s - 3*c + 8*c - 120 = 0, z*c = 0. Is 12 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*357\/(-2448)*40?\nAnswer: -35\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 112\/28849 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 t, and 1 g when three letters picked without replacement from wctglgbtlbwtbg?\nAnswer: 27\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*j + 9*j**2 - 6*j**2 - 7*j**2 wrt j?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -241, -428, -615, -802, -989, -1176?\nAnswer: -1363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 - 7*s + 7. Let p be x(-8). Let k = -14 + 10. Sort p, 5, k in descending order.\nAnswer: 5, p, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/21*(-2 - -2). Suppose -3*v + 4*v - 5*k - 15 = f, 21 = 3*v - 3*k. Suppose -v*l + 395 = 2*q, -2*l + q + 79 = -79. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2*(sqrt(50)*2)**2 - (5*(-1 + sqrt(2)) + sqrt(2) + 3 + sqrt(18))**2).\nAnswer: -567 + 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in six fifths of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 3. Let x = -4.29 - -4.19. What is the closest to -1\/2 in 3, w, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of 5*p**6\/8 - p**5\/12 + p**4\/12 + p**3 + 21*p**2. What is the tens digit of r(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**2 + 9. Suppose 109*d - 106*d - 13 = 5*n, 3*n = 3. Let y(j) = -2*j**2 + 8. Determine d*i(g) - 7*y(g).\nAnswer: 2*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 74*i - 1. Let z(a) = -a**3 - 4*a**2 + 6*a + 7. Let d be z(-5). Let c be w(d). Suppose -5*p + 500 + 247 = -r, p - c = -r. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5339 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.8985 in 0.3, -5, -2\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/60*(-30750)\/(-738)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 959369 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9636466 by 6.\nAnswer: 4818233\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 158309807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 122\/(-240) - 4\/(-30). Let x = -270.8 + 269.8. Which is the second biggest value? (a) x (b) -4\/3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1166, -2356, -3546, -4736, -5926, -7116?\nAnswer: -8306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.11 (b) -3\/8 (c) -0.4 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.0537 to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 42816 to the power of 1\/2, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*h**3 - 13*h**4 + 46*h**3 - h - h as i*h**2 + d*h**4 + n*h**3 + m + w*h and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 327\/2 (b) -9455 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*g + 220, 0 = q + 244*g - 247*g - 32 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*o + 4*o**2 - 115*o.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -469 (base 15) to base 14\nAnswer: -515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -257391986 or -772175962\/3?\nAnswer: -772175962\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 5*u + 4. Let q be w(-5). Suppose -q*g - 3*n + 0*n = 7, -2*n - 18 = -4*g. Find the third derivative of 2*t**5 + t**5 - 2*t**5 - 2*t**g wrt t.\nAnswer: 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62440 divided by 20?\nAnswer: 3122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -155\/684 and -77\/2698?\nAnswer: 48564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67172981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = w - 6. Let b(k) = 2 + 4*k**2 + 2 - 42*k + 2*k**3 - 3*k**2 - k**3 + 0*k**2. Let j be b(-7). Solve t + 5*q + 25 = -j*t, t = w*q + 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -483288 divided by -12\nAnswer: 40274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 6314*i**2 - 3*i + 72. Let r(n) = -2105*n**2 + n - 27. Give -3*f(w) - 8*r(w).\nAnswer: -2102*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -467*b - 1614. Let a(c) = -4*c + 4. Let d(y) = -3*a(y) + p(y). Differentiate d(r) with respect to r.\nAnswer: -455","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*t**5 + 672*t - 672*t + 2*t**2 wrt t.\nAnswer: 480*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -80*j**2 + 74*j**2 - 2*j**3 - 365*j**2 to k + r*j + d*j**2 + o*j**3 and give d.\nAnswer: -371","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(8\/3)*i*i*i*i**(1\/6)*i*i)\/((((i**(-3\/8)\/i)\/i)\/i*i)\/(i*i\/(i*i**(1\/14)))) assuming i is positive.\nAnswer: i**(1871\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -5*g, -6*m + 6 = -8*m - 4*g. Suppose -l = -3 - 1. Let b = 9 - l. Put m, b, 4 in descending order.\nAnswer: b, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 (base 16) to base 12\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(75) + sqrt(75)*2 + 5)*-5)**2*-5.\nAnswer: -2187500 - 468750*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 16704\/191, -3, 0.3.\nAnswer: -3, 0.3, 2, 16704\/191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 59.961 + 0.039. Let z = 59.46 - c. What is z rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -217.4003*-1.\nAnswer: 217.4003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/15*-5*(118 - 2). What is the highest common factor of r and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 139*i**4*s + 9*i**2 + i*s - 1383*s wrt i.\nAnswer: 1668*i**2*s + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/3 + 100\/6. Let a = -11 + f. What is the remainder when (38\/(-3))\/(6\/(-9)) is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000260704 to seven dps.\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, -2076, 3, 0, -4, 1, 2 in decreasing order.\nAnswer: 43, 3, 2, 1, 0, -4, -2076","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2*o + 3*o + 16 = 0, d - 2*o = 4. Suppose -d*a = -3*r + 34917, -4*r + 0*r - 5*a = -46587. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 245 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 8 = -4*z. Let u be z\/(-1 + 3\/12). Suppose 0 = -m + 3*c - 32 + 128, 0 = u*m - 3*c - 339. Calculate the greatest common factor of 9 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -26 + o**3 - o**2 + 3*o - o**2 + 12*o - 12*o**2. Let t be g(13). Suppose t*m = -6*m + 72. Solve 4 = -2*d + m for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 835.\nAnswer: 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of 4*f**4\/3 + 26*f**3\/3 + 41*f**2\/2 + 29. Let b(s) be the second derivative of i(s). What are the prime factors of b(8)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 884437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2602 (base 14) in base 9?\nAnswer: 10126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -86, -313, -702, -1259, -1990, -2901, -3998?\n\"Answer: -t**3 - 75*t**2 + 5*t - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -287\/2 (b) -4 (c) -7 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and 3775.137?\nAnswer: 3774.137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 641828?\nAnswer: 2, 11, 29, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-2\/5))\/(x\/(x*(x**(-7)*x)\/x*x)*x))\/(x*((x**1*x*x)\/x*x)\/x*x*x)**8*((x\/x**2)**(1\/10))**32 assuming x is positive.\nAnswer: x**(-248\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 4*c = 1789409, 164*c - 715766 = -2*h + 160*c. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -874 * -7.8687\nAnswer: 6877.2438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3188402699.\nAnswer: 859, 3711761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/52180 and 55\/128.\nAnswer: 1669760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 13, f: 1, n: 3}. What is prob of sequence nn?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*q**3 + 236340*q**2 - 236340*q**2.\nAnswer: 11*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + -13)\/(-3) + -3. Factor 4*s**3 - 2*s**3 - 2*s**2 + s + 4 - 2*s**k - 3*s.\nAnswer: 2*(s - 2)*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6071\/16232 - 2\/2029. Which is the third biggest value? (a) t (b) -55 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**4 + 3*y**4 + 3*y**4 + (4*y**2 + 2*y**3 - 4*y**2)*(3*y - 2*y + y) - y**4 - 4 + 4)*(252*y - 629*y + 284*y).\nAnswer: -465*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 2, 620216 in increasing order.\nAnswer: -3, 1, 2, 620216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3684, 7375, 11080, 14805, 18556?\n\"Answer: s**3 + s**2 + 3681*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p + 23*p - 355 = 0. Is p a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 297377 divided by 5?\nAnswer: 297377\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4643?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 513 and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -2 - (-76 + 65)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 799746982*a - 901778923 wrt a.\nAnswer: 799746982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1010, -2005, -2978, -3917, -4810?\nAnswer: -5645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53733 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 5*s**3 - 3*s**2 - 8*s + 43. Is r(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-12)\/5)\/((-3)\/20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 0)*-40 + -3. Let b = h + 188. Suppose -3*l + 4*k = -49, -5*l - k = 4*k - b. Solve 4*z + f + l = 0, -z - 10 = -3*f - 2*f for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 318*m - 322*m - 296 = 0, 5*x = -4*m + 406. Calculate the highest common factor of 507 and x.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/24*3)\/(434\/(-496)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 1:09 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1050258 is divided by 29.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 786 - 784. Let o(q) = q + 2. Let g be o(-4). List the prime factors of 37\/(d\/g - -2).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 12 = -3*o, -5*l - 3*o = o + 17. Suppose 3*s - 2*s + 4*c = 7, -2*c + 3 = s. Let z be s\/(-2)*4\/6. Which is greater: l or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 36*w - 38*w + 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 68 + 21281?\nAnswer: 21319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 462026824.\nAnswer: 2, 7, 8250479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12025075193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 548.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -33b2b0 (base 12) in base 11?\nAnswer: -516208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = 2*x + 3*w, -3*x + 32 = -5*w - 63. Suppose -x = -3*s - 5*s. Solve 3*l = 2*o - 2*l - 30, -s*o = -l - 29 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of x**5\/240 + x**4\/48 + x**3\/24 + 24*x**2. Determine n, given that t(n) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -58, -2 in ascending order.\nAnswer: -58, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -14097.145 rounded to the nearest 1000?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1468 + 1486. Solve 3*a - 5*w - 12 = 0, 5*w = -4*a + a - l for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1195 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -296, -300, -304?\nAnswer: -308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of -j**6\/9 + 43*j**5\/90 + j**4\/9 - 20*j**3\/9 - 8*j**2\/9 - 66*j. Let v(t) = 0. What is t?\nAnswer: -1, -2\/15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, e: 1, b: 1, c: 1, s: 2, m: 1}. What is prob of sequence mss?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -164740243, -329480487, -494220731, -658960975, -823701219, -988441463?\n\"Answer: -164740244*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 24a - d23da?\nAnswer: -d2190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7027865.\nAnswer: 5, 13, 8317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2126 + s**3 + 2*s**4 - 2126 + 61*s**2)*(4 - 2 - 1).\nAnswer: 2*s**4 + s**3 + 61*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -1\/2*c**2 - 2 + 12*c. What are the prime factors of h(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6744 is divided by 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 25*z**2 - 55*z - 240. Let v be y(22). Let f(o) be the first derivative of -3*o - 24 - 11\/2*o**v. Let w(h) = h**2. Calculate f(w(p)).\nAnswer: -11*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 594 = 19*f. Suppose -146 = -f*y + 250. Solve -5*q = 2 + y for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.009 + -0.056. Let b = 6.065 + s. Let u = -5.9999932 + b. What is u rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 4*y, 3*s + 2*y - 43 - 38 - 55 = 78 - 65 for s.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6511919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -40*y - 20*y - 401 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -10 - 3 + 4 - 5 - 16*y. List the prime factors of u(-3).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -457.1+59775.69193\nAnswer: 59318.59193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/24114 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/71 (b) 3 (c) 86 (d) -0.5 (e) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 27*f - 198. Give b(-9).\nAnswer: -441","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000832659358 to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -44*2\/(-4) + 0. Which is smaller: t or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 5*l + 0*l + l + 0*l - 2*l + (-1 - 1 + 4)*(1 - 2*l - 1))*(26 - 12 - 18) - l - 2*l - 2*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate q**2*u**2*z**3 + q**2*z**3 - 120*q**2*z**2 - 48*u**2*z - 1 wrt u.\nAnswer: 2*q**2*u*z**3 - 96*u*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1332483 to the power of 1\/3, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -40 - -38. Let p be 1*a\/(-2)*0. Solve d + 3*w + p = 12, -2*w = 3*d - 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -43, -79, -141, -241, -391?\nAnswer: -603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -152\/5*h**2 + 2\/5*h**5 - 24\/5 + 108\/5*h**3 - 32\/5*h**4 + 98\/5*h.\nAnswer: 2*(h - 12)*(h - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34\/(-68)*1*8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -823148 + 93839935\/114. Let g be 2\/((-76)\/9)*12. Let z = g - k. Calculate the common denominator of -37\/8 and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of n**4\/102 + 64*n**3\/51 - 65*n**2\/17 - 4*n + 70. Let w(s) = 0. Calculate s.\nAnswer: -65, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 51347.\nAnswer: 154041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 255004649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*x**3 - 14*x**3 - 307*x + 307*x - 14 + 18 to the form g*x + a*x**3 + j*x**2 + i and give a.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, b: 1, v: 6}. Give prob of picking 2 f.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 4. Let u(w) = -2*w**3 + 2*w**2 + 2*w + 1. Let b be u(d). Factor 1\/2*h**b + 0 - 1\/4*h + 1\/4*h**2.\nAnswer: h*(h + 1)*(2*h - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*g = 48, 3*g = 5*u + 11 - 131. Suppose 16*z - 74 = 982. Let n = 126 - z. What is the highest common divisor of n and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.70247376 to 1 decimal place.\nAnswer: 4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 113.155 and 5.\nAnswer: 565.775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2087 - -2089. Solve 19 = 3*z + r*c, -5*c = -3*z - 3 + 8 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1)\/g)\/g)**48\/(g**(1\/8)\/g*g\/((g**7\/g*g)\/g*g)) assuming g is positive.\nAnswer: g**(-1097\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16907 less than or equal to 16907?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*m - 7*m + z - 1207, -4*m - z = -966. What is the hundreds digit of -4 + 2 + 7 + m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*n = 11, o - 2 = 2*n - 1. Suppose -6*t + 36 = o*t. Let f(c) = -c**3 + 3*c**2 + 5*c - 2. Let y be f(t). Solve x - 1 + y = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*f + 578 = -16*f + 2*y, 0 = -5*y. What is the remainder when f is divided by 37?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2939.28 minus 0.09?\nAnswer: -2939.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3001509577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*h = -404 - 348. Calculate the smallest common multiple of h and 564.\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8 (b) -10 (c) 0.1 (d) -4 (e) -1 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322 is divided by 119.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -19, 0, 45, 128, 261, 456, 725, 1080?\n\"Answer: 2*g**3 + g**2 + 2*g - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/84 and 2\/6 + 3367\/(-624).\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -4*o**3 - 6488*o**2 - 2630884*o = 0.\nAnswer: -811, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.3 and 0.3969?\nAnswer: -1.30977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -0.3, -0.5, 4, -331, 2 in descending order.\nAnswer: 4, 2, 2\/7, -0.3, -0.5, -331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 2*d - 1. Let o be r(2). Let i = 272.7 + -273. What is the closest to i in 0.1, o, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3441 + 0.0441. Which is the smallest value? (a) f (b) 2\/9 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 15*x + 31 = -10*x, 4*x = 16. Let f(b) be the first derivative of -b**3\/3 - 13*b**2\/2 - 10*b + 3. What is the lowest common multiple of 40 and f(o)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 270 + -256. Solve 4*a - 2*z - p = 0, -a + 3 = -2*z - 8 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in -1, 0, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18213033?\nAnswer: 3, 23, 263957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 1, h: 1, y: 1, w: 1, d: 2, p: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 - 34. What is the tens digit of 1 + 2 - d - 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, a: 3, j: 1}. Give prob of sequence aaj.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, s: 5}. Give prob of sequence ss.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 7:23 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3*w**2 + 6*w + 7. Let o = -2 - 3. Let v be z(o). Let q = -59 - v. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 24797*c**4*r**3 + 2*c*r**3 - 988*r**3 - 3*r**2 wrt c?\nAnswer: 99188*c**3*r**3 + 2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(((h\/(h*(h*h**1\/h)\/h))\/h)\/h*h))\/h**5)\/(h**(1\/3)\/h*h)**(-3\/20)*h**(2\/5)\/(h*h\/(h*h*h**(-4\/5)*h))*((h**(1\/3)\/h)\/h)**(1\/7) assuming h is positive.\nAnswer: h**(-1087\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -240232, -480472, -720712, -960952, -1201192, -1441432?\n\"Answer: -240240*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of m**4\/24 + 4*m**2. Let j(w) be the second derivative of 0*w**2 - 1\/4*w**4 + 0 + 0*w**3 + 6*w. Determine j(t(b)).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 366*x + 250*x + 3696 = 0 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 304ab4a + 8?\nAnswer: 304ab55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21977\/8 + -2743. Let c = 4\/155591 + 207713921\/2489456. Let o = c - 83. Calculate the common denominator of y and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -5*k**3 - 5*k**2 + 3*k + 1. Suppose o = -4*o + 25. Let j(s) = -27498369*s**2 + 27498360*s**2 - 1 + 3 + 5*s - 10*s**3. Calculate o*b(x) - 3*j(x).\nAnswer: 5*x**3 + 2*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -9*x**2. Let h be q(-1). Let z = h - -10. Is 3\/8 <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21040 and 83923300.\nAnswer: 5260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 5*x**2 - 12*x + 34. List the prime factors of s(7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 63543 - 14812. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 (base 10) in base 4?\nAnswer: 12111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*z + 2*c, 3*c + 17 = 67*z - 65*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11065067 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -331 + 353. Let k(s) be the first derivative of s**2 - 47*s + 234. Give k(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/9*1\/3. Suppose -3*s + o + 3 = 0. Solve -v + 2 - s = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05093 + -0.033063?\nAnswer: -0.083993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 256069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -5*w - 24. Let h(p) = p**2 + p + 1. Let f(y) = -5*h(y) - m(y). Find the first derivative of f(l) wrt l.\nAnswer: -10*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 448 - 0?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 90 and 810?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(4 + -3 - 2). Let s be 3\/(-2) - (q + 242 + -1). Let f = -231 - s. Find the common denominator of f and 127\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72244, -144381, -216410, -288331, -360144?\nAnswer: -431849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(13) - sqrt(78)\/(sqrt(12)\/sqrt(2))) + -4))**2.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 8*k**2 - 12*k - 18. Let w(j) = -j**3 + 5*j**2 + 7*j + 7. Let t be w(6). Is l(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 840308759 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2036*r**3 - 2180*r**3 + 4464*r**3.\nAnswer: 248*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*b + 0*b - 114187 = 76949. What is the highest common factor of 905 and b?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-1) - (-348)\/(57 - -30)*29\/(-4)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00012286931 to five decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11.498 - 1.198. Which is the closest to 1\/2? (a) 3 (b) w (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilometer in centimeters?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 + (85 - 7 - 81).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.81285325 rounded to 2 dps?\nAnswer: 21.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42650, 42624, 42580, 42518?\nAnswer: 42438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -m**3\/3 + 237*m**2\/2 - 236*m - 511. What is k in q(k) = 0?\nAnswer: 1, 236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -832767 divided by 131.\nAnswer: -6357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-7) - (-23 + 5238\/126)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5*h + 8 = 0, 4*m + h + 8 = 2*m. Let a = 18 - m. Does 9 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -t**4 + 936*t**3 - 273462*t**2 + 23663320*t - 23390793 = 0.\nAnswer: 1, 153, 391","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wwrwwwwwwrwwwrw?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232845 is divided by 528.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8760539.\nAnswer: 19, 23, 20047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 39, 71, 93, 105, 107, 99, 81?\n\"Answer: -5*s**2 + 47*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of 1\/12*m**4 + 0*m + m**2 - 7\/3*m**3 + 0. Let t be d(7). Round t to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 0.318, 0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of 0*i**6 + 9*i + 0*i**2 + 0*i**5 - 3\/14*i**7 + 0 - 4\/3*i**3 + 0*i**4. What is the second derivative of w(k) wrt k?\nAnswer: -180*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-24) + 33\/12. Suppose -3*v - g*d + 42 = 0, -8*d + 70 = 5*v - 9*d. Which is smaller: v or 15?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1\/3, -3, -2\/3, -10?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -169 divided by 6919512.\nAnswer: -169\/6919512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -46 + 0 + (-7 - -7) - (3582 - 3574).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -31, -0.4, 3\/4, 21, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 497 a factor of 349983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) 4226 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 87, 5, -1\/3, 1\/27?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + (7 - 4\/(-4)). Find the second derivative of 3*u**3 + 275*u - t*u**3 - 280*u wrt u.\nAnswer: -30*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 8. Let a be (0 + 2)\/(y\/10). Let j be 2\/(-2)*4\/2. Put j, 2, a in ascending order.\nAnswer: a, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*(y*y**15*y)\/y*y**(2\/5))**1 assuming y is positive.\nAnswer: y**(92\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (7\/1 - 3)*-29. What is the tens digit of b\/(-12)*(-3)\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -932 + 290. Let v = -16 + k. What are the prime factors of v?\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 17*h**2 + 15*h + 10. Let p be 3354\/(-2236)*(-64)\/(-6)*-1. Determine t(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 8*x + 19. Let z be q(-4). Let n = -24 - z. Suppose 0 = -4*w - 8. What is the closest to w in 4, 2\/7, n?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 371, 742, 1113?\n\"Answer: 371*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 11 = -g + 21, 4*l = -20. Which is bigger: g or -376\/43?\nAnswer: -376\/43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w**(-3)*w)\/w)*w*w*w**(-4)*w\/(w*w\/w**(6\/7)*w)*w**(-3\/2))\/(((w*w**7)\/w**(-1\/6))\/(w*w**(-2\/7)*w*w*w*w*w*w**0)) assuming w is positive.\nAnswer: w**(-65\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -9682*d - 3098224. Give l(-320).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*j + 0*j = 9, -2*i + 9 = j. Suppose 3*o = 4*b - 65, -4*b + 3*b - i*o + 5 = 0. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -45 and -539.\nAnswer: 24255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 1522 and 0.4.\nAnswer: 1522.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 21 + 32)*(-4*a**4 + 4*a**4 + 2*a**5).\nAnswer: 84*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus 973?\nAnswer: -969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 56139.93 meters in nanometers?\nAnswer: 56139930000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + 8*v + 7. Let z(y) = -y**2 - 5. Let r(k) = f(k) + 2*z(k). Let t = 1 - -8. Let d = t + -3. Give r(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(288) + sqrt(288))*-4*-4*-5 + -4 + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -46, 2, 0 in increasing order.\nAnswer: -46, -5, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - (3 + -3))*6. Let 0*b**4 + 2*b**2 - 4*b**2 - 6*b**4 + z*b**3 + 2*b**5 = 0. Calculate b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g + 3. Let b be p(5). Let u = 2 - b. Suppose 7 = j + u. Sort 4, j, -3 in descending order.\nAnswer: 4, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 304 - 200. What is the units digit of 3*(-3 + u\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3091*d + 19416 - 19416 to the form j*d + g and give j.\nAnswer: -3091","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 761369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -o**4\/9 - 37*o**3\/9 + 1981*o**2\/9 - 1943*o\/9 = 0.\nAnswer: -67, 0, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -400*f**2*q + 3274*f**2 + 3*f*q**4*w - 5*f*w + 3*q wrt q.\nAnswer: -400*f**2 + 12*f*q**3*w + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(1872) + -2).\nAnswer: -36*sqrt(13) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 209\/10 (b) -0.04 (c) 4\/7 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u**3 - 29*u**3 - 7*u**3 + (2*u - 2*u - u)*(3*u**2 - u**2 - 4*u**2) + 0*u**2 + 11*u**3 + 2*u**2 + 14*u**3.\nAnswer: -5*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 2*n + 8. Let k = -1488 + 1494. Let z(y) = 2*y**2 + 2*y + 9. Calculate k*z(t) - 7*d(t).\nAnswer: 5*t**2 - 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*y + 3 = w, -2*w = -3*y + 15. Let n(u) = u**2 + u - 2. Let b be n(w). What is the highest common factor of b and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 0*i + 4*a - 16 = 0, 5*a = 3*i - 4. Find the third derivative of 18*r**2 - r**3 - 26*r**i - 8*r**3 - 2 + 0 wrt r.\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2 - 14 = 0. Suppose -v - a*v = -4*b + 311, 0 = -5*b + 3*v + 392. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g + 7*g**3 - 4*g**3 + 2*g**2 + 7*g**3 - 3 - 7*g**3 to l*g**3 + v*g + q*g**2 + y and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 257422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (42\/4)\/7 - 50827\/(-14). Suppose 15*t - 11*t = 2*b + i, 0 = -2*t - 3*b + 1800. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, b: 6, i: 2, c: 1, t: 4}. What is prob of sequence tmic?\nAnswer: 1\/1785","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 206626\/3 - 137749\/2. Determine h so that -1\/3*h - 1\/2*h**3 + 1\/6*h**5 - d*h**2 + 1\/6*h**4 + 0 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 + 26*j + 36. Let r be v(0). Let p be 27 - 5\/(5\/3). Suppose -6*q + p = -r. Solve 5*f + 10 = -q for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/(-6) + 1\/3. Suppose -b - t + p = 0, 2*b - 2*t = -13 + 39. Calculate the lowest common multiple of b and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4438525 is divided by 57?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -46, -64, -82?\n\"Answer: -18*h - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 10 = -t - 2*y, 2*y = 4*t - 16. Let s be -1 + t + 2\/(-2). Suppose 2*c + 18 - 58 = s. What is the remainder when 57 is divided by c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 11252221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**2 + 3*f + 3231064. Let l(s) = -2*s**2. Calculate j(l(w)).\nAnswer: -8*w**4 - 6*w**2 + 3231064","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4340\/(-140) + 100671\/3243?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 4*k - 16. Let o(d) = -d - 8. Let f be o(k). Suppose 0 = -2*z + c + 63, -7*z + 4*c = -f*z - 116. What are the prime factors of z?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h - 7. Let v(k) = 8*k + 6. What is the remainder when v(9) is divided by x(27)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67548 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 162704156 to the power of 1\/4, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4835 is divided by 4805?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -444.3 - -85.3. Let z = a + 360.25. Is z greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 408481055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 2244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/325*2*1*(-4)\/8.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**5 - 309*b**4 + 4302*b**3 - 11082*b**2 + 10479*b - 3393.\nAnswer: 3*(b - 87)*(b - 13)*(b - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -406465\/9 + 45163. Let v be (0 - 0) + (4 - 2). Let p = -3.94 - 0.06. What is the closest to v in 4, x, p?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-5)\/19*25\/(750\/12).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -744 or -3726\/5?\nAnswer: -744","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 8697, -372, 1 in ascending order.\nAnswer: -372, 1, 8697","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 17 + 29 + 11*h**2 - 8*h**2.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 316588107?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -346430 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(-4\/7)*o)*o)**(-47)\/(o*o*o**(-1))**(-2\/15) assuming o is positive.\nAnswer: o**(-7741\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**2 - 6*u. Let v(y) = y**2 + 5*y - 1. What is -6*a(m) - 7*v(m)?\nAnswer: 5*m**2 + m + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(4131)*-3 + sqrt(4131))*-3)\/((sqrt(30)*-1)\/sqrt(10) - (6*sqrt(18)\/sqrt(6) - sqrt(3))).\nAnswer: -9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14827.\nAnswer: 14827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -195 (b) -0.5 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 7*b**2 - 92*b + 33. Calculate h(13).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-54)\/8)\/(22\/(-1584)). Suppose -9*y = -261 - z. Let u = y + -85. Sort -0.04, 3, u, 4 in ascending order.\nAnswer: u, -0.04, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, m: 9, k: 2, n: 3}. What is prob of picking 2 k and 1 m?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7584523\/27 or 280908?\nAnswer: 7584523\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 32 - (4\/(-2) + 4). Suppose -3*g - 38 = -3*p - 11, 0 = 3*p - 4*g - q. Suppose -3*n + 140 = -2*i + p*i, -i = 5*n - 52. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 16*n + 60. Determine k(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 179, -1\/5, -3\/8, 40 in descending order.\nAnswer: 179, 40, -1\/5, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12.39 - -13. Let u = 0.31 - w. Let m be (-7)\/(-2) - 2\/4. What is the third smallest value in m, -0.5, u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-58 - -1) + 56 - (1 + 2)) + 84.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - -3) + -2 + 24. Which is smaller: i or 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - k**2 + 2)*(13790 + 3616 - 15241 + 12248) to i + n*k**2 + h*k and give n.\nAnswer: -14413","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 429.7587t?\nAnswer: 429758700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 - -35. Let i = 21 - -39. What is the highest common factor of n and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 719?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 2310?\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(-2 + 7\/4). Suppose -z = -0*y - 2*y. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffqk when four letters picked without replacement from {q: 1, f: 12, k: 1}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-18)*25\/(-10).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4266 (base 12) in base 13?\nAnswer: -340b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 320851082 to the power of 1\/2, to the nearest integer?\nAnswer: 17912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 894467018 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three tenths of a hour?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10195 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -7 (c) 0.211\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-38)\/(-133)*14\/4. Suppose 26*z + 3 = 2*s + 25*z, -4*s + 3*z + v = 0. Solve 3*r - 5 = 5*d, 2*d - 15 = -3*r + s for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 566968900 - 14*j**2 - 5*j - 566968900.\nAnswer: -14*j**2 - 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-6 - -5 - 3 - -10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 5*x - 4*x - 3, -2*r = -3*x + 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 2 + -1 + 28 + -20?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 12.1. Let f = -2.3 + u. Let y = -2.199998 - f. What is y rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 14 + 49 = 0. Let y(d) = 0*d**3 + d**2 + 4*d**2 + 1 + d**3 + 4*d. Let m be y(-3). What is the highest common factor of m and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1652890166 - -16.522\nAnswer: -1652890149.478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.963 - -0.4615659733.\nAnswer: -6.5014340267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -1 - 1 - 2*g**2 - 3*g + g**2. Let q(l) = l**3 - 2*l**2 + 3*l - 3. Let v be q(2). Suppose 0 = -j, 0 = x + x + v*j + 4. Give k(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -135843159*u**2 + 49142922*u wrt u?\nAnswer: -271686318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 849.917 milliseconds in microseconds?\nAnswer: 849917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -20, -26, -36, -50?\n\"Answer: -2*z**2 - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 67 = -6*v. Does 28 divide (2 + -14)\/(v\/(-84))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**2 - 19*v + 90. Let c be x(17). Let i(l) = l**2 - 7*l - 153. Let w be i(-11). Calculate the highest common divisor of c and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (222\/1)\/((-1260)\/(-315))*2*-1.\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a hour in seconds?\nAnswer: 48600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 564 and 87936.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*m**2 + 6*m**2 - 8*m**2 - m**2.\nAnswer: -13*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 538841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276 is divided by 189.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -187\/4 (b) 0.4 (c) -23.2 (d) -1\/7 (e) -4 (f) 4 (g) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1523.96 + 1524. Is q less than 0.034?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - s - 1. Let a(i) = -7*i**2 + 2*i - 21. Let q(d) = -a(d) - 2*p(d). What is the first derivative of q(z) wrt z?\nAnswer: 10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of 1979*i**7\/70 + i**6\/120 + 17*i**5\/30 + 151*i**3\/6 - 12*i**2 + 4*i - 28. Find the third derivative of k(r) wrt r.\nAnswer: 142488*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2 + sqrt(78)\/(sqrt(36)\/sqrt(6)*4))**2.\nAnswer: -sqrt(13) - 3\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b. Let j(h) = h + 1. Let q(n) = -1. Let m(z) = 7*z - 1. Let t(s) = 2*m(s) - 14*q(s). Let c(x) = 12*j(x) - t(x). Calculate c(d(w)).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7610864720.\nAnswer: 2, 5, 95135809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/720*8 - 6666\/(-45). Which is the third biggest value? (a) j (b) -2 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17615251 and 1?\nAnswer: 17615251","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -4924.7 to the nearest one hundred.\nAnswer: -4900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 784.65.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7158 + -7158. Which is the closest to 0? (a) 0.0353 (b) 4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/9 and 20\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 156043.68 months in centuries?\nAnswer: 130.0364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 36\/((-12)\/(-4)) - -2. Let l be 4\/t - (-32)\/(-14). Which is bigger: -3 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 - 9*t + 4. Let x be h(-9). Suppose 2*v + 0*l - 48 = 4*l, 3*l - 96 = -x*v. What is the highest common divisor of 12 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 40954?\nAnswer: 40951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(s\/(s\/(s**0*s)))*s*s*s\/(s\/s**(1\/14)))**11)**24 assuming s is positive.\nAnswer: s**(5676\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 630 by 42.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 = 4*r - 49. Let y be 9\/r + 25\/100. Put 5, y, 9, -4 in increasing order.\nAnswer: -4, y, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -k**2 + 21*k + 100 = 0.\nAnswer: -4, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-28)\/8 + 4)*6*1. Which is the closest to -15? (a) 1\/6 (b) 4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3*f**2 + 987*f + 7946. What is m(-8)?\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*s = -39*s - 2. Sort 3\/7, s, 1\/5, -0.3 in descending order.\nAnswer: 3\/7, 1\/5, -0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 11, r: 2, e: 2}. What is prob of sequence eepp?\nAnswer: 11\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 6.9. Let p = 4 - 9. Sort 1, p, c.\nAnswer: p, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 374 - 365. Let q(m) = -p*m**2 + 2154*m - 2154*m. Let b(z) = -3*z**2 + 1 - 1. Calculate q(b(v)).\nAnswer: -81*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 0*q + i - 19494, q = -5*i + 4864. Is (q\/(-10))\/(7\/(-35) - 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03175023352 rounded to six decimal places?\nAnswer: 0.03175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3627 is divided by 231?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 4:22 AM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 12*t. Let k(z) = z. What is 78*k(x) - 6*q(x)?\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6222, -6294, -6414, -6582, -6798, -7062, -7374?\n\"Answer: -24*f**2 - 6198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.68428 to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (1 - -21 - (0 - -12)) - (2 - -19)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 216 divide 34507080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 - 9 = 4*b. Suppose -182 + 57 = -b*y. Is y a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t**2\/5 + 56*t\/5 + 96\/5 = 0. What is t?\nAnswer: -12, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n\/n**(-26))*n*n)\/(n**(-22)\/n))\/(n**(-4)*n**(19\/4)) assuming n is positive.\nAnswer: n**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140\/196 - (1 + 0).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/60 - (-3)\/(-4).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 808567.9 tonnes to grams.\nAnswer: 808567900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29220 or 4?\nAnswer: -29220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 + 278 = 27*z. Calculate the least common multiple of 22 and z.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 8*c**2 + 6*c - 6. Suppose 3*t + 4*u - 22 = 0, 0*u - 3*u - 1 = t. What is the remainder when i(-5) is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -183875, -367785, -551695?\nAnswer: -735605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*j - 59*j = 201. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -24a + 0?\nAnswer: -24a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137*m = -141*m - 40. Let o = 0.09 + 4.91. Let j = o + -5. What is the biggest value in m, -2\/9, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10890 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9.913 - 0.113. Let p = -11 + y. Let f = p - -0.2. Which is the nearest to f? (a) 0.2 (b) -1 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -88254164 - -88291171.623. Let p = o - 37007.44300057. Let c = p + -0.18. Round c to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 47 + 62 = 5*x, -5*j - 29 = -2*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005594833 rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**2 + v**2 + 3*v**2 - 4*v**2. Let w(h) = -8 + 5 + 17*h + 3. Determine w(n(l)).\nAnswer: -34*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 14 + u + 19 - 55 - 3*u. Let s be x(-13). Suppose -s*o + 13 = 1. Is o a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -70 + -1?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 128, 465, 1122, 2207, 3828, 6093, 9110?\nAnswer: 12987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75421134.\nAnswer: 2, 3, 4190063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 517 = 1440. Let u = c + -13957. What is u rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34099489 is divided by 355203.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -79*p + 87*p - 104 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -310 = -20*v + 2050. List the prime factors of v.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 146 = -0*z + 5*z, 2*q + 2*z - 134 = 0. Suppose -k = t + 2*t - q, 3*t + 93 = k. Is 26 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40533 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(-810)*-124 + 4\/1.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10322031 (base 4) to base 11.\nAnswer: -14121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 2*m + 756, 750 = 4*z - m - 4*m. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 278, 432, 586, 740, 894?\nAnswer: 1048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yze. Give prob of sequence ye.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (((-50645)\/(-950))\/7 - (162\/60)\/9).\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 5*d**2 - d + 3. Let j be y(5). Let n = 0.2416 - -0.0584. Sort n, -2\/19, j in decreasing order.\nAnswer: n, -2\/19, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-10)\/(-5))*0\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 + 33.19. Let u = -0.132 + d. Let s = u + -0.057946. What is s rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-78)\/27 - (-2)\/(-18). Let q = 26.9 - 22.9. Sort q, 1, f, -1\/2 in descending order.\nAnswer: q, 1, -1\/2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -27*g**3 - g**2 + g + 1. Let t be 36\/(12\/(-3)) + -1. Let h = t + 9. List the prime factors of r(h).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 4) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 l when two letters picked without replacement from {f: 1, l: 7, q: 5}?\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/2226 and 17\/1262354.\nAnswer: 26509434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1202220120 (base 3) to base 2.\nAnswer: 1000100001101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 253*g**3 + 406*g**3 + 405*g**3 - 1314*g**3.\nAnswer: -250*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -96, -0.4, -3, -4, 1436?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 106026 to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o**2 + 7*o - 2. Let h(a) = -387 + a**2 + 382 + 4*a**2 + 14*a. Let l(j) = 4*h(j) - 7*q(j). Find d, given that l(d) = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6 + 539\/(-21) + (-2)\/3 and 131\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**2 + 2*v**2 + 4*v**2)*(-86*v + 1 + 245*v + 106*v - 3*v**3).\nAnswer: -9*v**5 + 795*v**3 + 3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 1:48 AM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 5*q**2 - 2*q - 4. Let w be o(-2). Solve 4*j = 5*t + 45, 2*j + 2*t = 4*t + w for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 6*k**2 + 6*k + 12. Let h be p(-6). Let j = 35 - h. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 70*g**2 - 640*g + 22. Let y be c(9). Which is smaller: 19 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.116 - 5.416. Let q = 5 + a. Let h = 550 + -10452\/19. Sort 0.5, q, h in ascending order.\nAnswer: q, h, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 0*x + 2*x**2 + 12*x + 0*x - 14 + 2*x. Let v be n(-8). Solve 1 = 5*r + 3*s, 4*r - 11 = v*s + 3 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of v**4\/24 - 10*v**2. Let g(i) = -6*i**2 + 7. Let q(m) = m**2 + 0 + 7 + 8 - 16. Let f(l) = 4*g(l) + 28*q(l). Determine d(f(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 174\/928*-40*(4\/6)\/((-1)\/3).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 171350?\nAnswer: 171355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1703817.124 rounded to the nearest 10000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/1774 and 45\/6350033.\nAnswer: 12700066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 3. Let v be p(-3). Let o = v + 0. Let t be (-10)\/(-15) + 8\/6. Calculate the highest common divisor of t and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -868 divided by 5.\nAnswer: -868\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/117 + 0 - (70720\/21801)\/(-17)?\nAnswer: 6\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -191, -772, -1741, -3098, -4843, -6976?\nAnswer: -9497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -976 = -19*k + 5275. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -38461 and -2.9.\nAnswer: -38463.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3*r. Let i(m) = -26401*m. What is y(i(n))?\nAnswer: -79203*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2249782?\nAnswer: 2, 107, 10513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -6*k - 1. Let o(p) = -p**2 + 13*p + 2. Let l(w) = -4*o(w) - 9*x(w). Let a = 9 - 6. Let s(r) = 5*r**2 + 3*r + 2. What is a*l(i) - 2*s(i)?\nAnswer: 2*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 1666210a?\nAnswer: 16662105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 10 = -j, 2 = 4*z - 5*j + 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence af when two letters picked without replacement from aaf.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.5 - -0.9. Let t = -2.8 + 3. Let h = -2.65 + 3.65. What is the nearest to h in f, t, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -9*s - 132. Let j be m(-14). Let c(k) = 3*k**3 + 11*k**2 - 11. Let v(g) = 2*g**3 + 6*g**2 - 6. What is j*c(q) + 11*v(q)?\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, -26, 5, -5, 0, -12 in increasing order.\nAnswer: -26, -12, -5, 0, 5, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-424)\/40 - -10 - (-506)\/10. Suppose -4 = -6*y + d. What is the highest common divisor of 12 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10411510.\nAnswer: 2, 5, 1041151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9\/284 + -12291\/1988. Calculate the common denominator of u and (-5 + 4)*(-93)\/58.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 3*t - 26 = -21, 3*t + 56 = 4*g for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -110379 to the nearest 100.\nAnswer: -110400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.056235 rounded to three dps?\nAnswer: -0.056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -53550290.\nAnswer: -1\/53550290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11101101 (base 2) to base 12.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence um when two letters picked without replacement from {u: 5, m: 8}?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1.161916 millilitres?\nAnswer: 0.001161916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26522, 26366, 25936, 25094, 23702, 21622, 18716, 14846?\nAnswer: 9874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 7e26 (base 15) to base 10\nAnswer: 26811","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**4 - 2*q**4 + 0*q**4 + (-5 + 2*q**2 + 5)*(-23*q**2 + 13*q**2 + 16*q**2) + 0*q**4 + q**4 + 2*q**4.\nAnswer: 16*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i + 179 - 195 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t - 14. Give c(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 424 - 426. What is the closest to 1 in q, -23\/2, 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -139, -343, -693, -1195, -1855, -2679, -3673, -4843?\nAnswer: -6195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, w: 1, l: 1, m: 1, e: 1}. Give prob of picking 1 m and 1 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -2 + 0*m**3 - 1\/6*m**4 + m + 0*m**2. Let w(t) be the first derivative of q(t). Let l(g) = g**2. What is w(l(r))?\nAnswer: -2*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 4\/183?\nAnswer: 4\/183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 2 - (3 - 2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1284 = -438*w + 5664. Solve -w*j - 4 = 66 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294873476 a multiple of 2310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express t**3 + 17*t - 3*t**3 - 18*t + 532 - t - 2*t**3 in the form l*t**2 + d*t + p*t**3 + g and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 512 a factor of 157339136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 12*c - 348 = 7*c. What is the remainder when 316 is divided by c?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5 (b) 1\/3 (c) -177\/10 (d) -0.4 (e) -2 (f) 230 (g) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**2 - 2 + 2*i + 7*i**2 - 8*i**2 - 2*i**2. Determine f(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6315 (base 11) to base 16.\nAnswer: -20ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + (-3 - 1) + -4.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -j**4\/10 + 1731*j**3\/10 - 725201*j**2\/10 - 20815599*j\/10 - 10044333\/5 = 0.\nAnswer: -26, -1, 879","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 5*d + 2608. Let n(u) = -239*u. Give s(n(z)).\nAnswer: -1195*z + 2608","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 102\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11131?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35.9 + -36. Let l = 223\/13008 - -1\/271. Let j = -53\/240 + l. What is the nearest to 0.1 in j, p, 0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.11 - 1.11. Which is the smallest value? (a) 0 (b) v (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18897471 to the power of 1\/3, to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149556 + 66992 = -5036*i for i.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34 and 1751?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 8*x**3 + 6*x**2 + x + 2. Let k(j) = -12*j**3 - 9*j**2 - j - 3. Let u(f) = 5*k(f) + 7*y(f). Is u(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 610 and 4514.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrrr when four letters picked without replacement from {j: 4, r: 14}?\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -45*h**3 + 1. Give v(-1).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - o - 1. Let b(q) = q**2 - q - 1. Let x(y) = -y + 2. Let j be x(-4). Suppose 0*c + j = 3*i - c, -4*i + 2*c + 10 = 0. Determine i*b(k) - h(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211 + 102?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3*h. Let q(l) = -5192*l. Give n(q(k)).\nAnswer: 15576*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 6*y + 2. What is the second derivative of 2*u**2 - 6*u + 5*u**2 - 7*u + 9*u**y wrt u?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 6*v**3 + 11*v**2 + 3*v - 3. Let h(a) = a**3 - 2*a**3 - a**2 - 5*a + 1 + 4*a. Let c(w) = -3*h(w) - k(w). What is the third derivative of c(i) wrt i?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 17*m**2 + 50*m + 60. Calculate u(13).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 152320 and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5556311 is divided by 8778.\nAnswer: 8615","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 3*k**2 - 2*k - 3. Let u = -1 - 2. Let l be t(u). Let w = l - -1. What is the remainder when 6 is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1968424 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*o + 154*o - 147 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1104)\/1472*104\/6.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -11, -0.7, 1906.7 in descending order.\nAnswer: 1906.7, 0.1, -0.7, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}