diff --git "a/data/dm_maths/full_data/149_11255.jsonl" "b/data/dm_maths/full_data/149_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/149_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the remainder when 336922 is divided by 126?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18315764?\nAnswer: 2, 43, 106487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10926427 divided by 10926427.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -9 and 8\/19 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 3*n**2. Let a(z) = -z**3 - 10*z**2 + 6*z - 5. Let p(v) = v**3 + 9*v**2 - 5*v + 4. Let q(x) = 5*a(x) + 6*p(x). What is 3*q(u) - 4*s(u)?\nAnswer: -u**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 20 + 5. Let i = 7 + -5. Sort 1, i, b.\nAnswer: b, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and (((-354)\/(-7))\/3)\/((-180)\/420)*-180.\nAnswer: 7080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25412631 (base 7) in base 14?\nAnswer: -440518","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = y, 3*j - 5527 = 3*y - 5518. Let i(m) = -13*m**3 + 9*m**2 + 9*m + 13. Let q(l) = -7*l**3 + 4*l**2 + 4*l + 6. Calculate j*i(s) - 9*q(s).\nAnswer: 11*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4e8 - 2b?\nAnswer: -524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1286*a = -1165*a - 107932. What is the remainder when a is divided by 214?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/165 + (-931)\/(-11319)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*i**3 - 123*i**3 - 47*i**3 + i**2 - 51*i**3 - 24*i**3.\nAnswer: -273*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, a: 2}. What is prob of sequence aww?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2657833349.\nAnswer: 179, 2161, 6871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0016, 2, 3, 0.1, -1\/6 in descending order.\nAnswer: 3, 2, 0.1, -0.0016, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = t - 2. Suppose 0 = 4*s - t*s. Is 3*(93\/9 + s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -2767*p**6\/6 + 38*p**3\/3 + 1184. What is the third derivative of q(v) wrt v?\nAnswer: -166020*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 1609*b + 964. What is the thousands digit of n(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-2) + 2 + 28. Suppose 13*r = 9*r + l. Let o be 12\/10*40\/6. Solve -o = -5*u + r for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.3, 0.5, 26, -4 in decreasing order.\nAnswer: 26, 0.5, -0.3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -64.91 and 0.7.\nAnswer: -45.437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xixxv. Give prob of picking 1 i and 3 x.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 114 + 190 = 2*m, 0 = 5*m + 5*s - 760. Let g = 663 - m. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 p when three letters picked without replacement from qlqp?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 30 = 2*v, v + 21 = -0*y - 3*y. Let t = -2 - y. Solve -2*m + t + 2 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggwrggrggwg. Give prob of picking 2 r and 1 g.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1331313 (base 5) to base 7.\nAnswer: -141650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 42\/90 + 2*4\/(-12). Which is the biggest value? (a) 0.5 (b) 5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5640, 20887, 46300, 81879, 127624, 183535, 249612?\nAnswer: 325855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*l + 2*l + l)*(59 - 29 + 0 + (0 + 2 + 1)*(0 - 3 + 0))*(-1 + 1 - 2*l).\nAnswer: 168*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, -51, -51, -47, -39?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l - l - 3 + 1 + (-3*l + 0*l + 2*l)*(0 + 2 + 2).\nAnswer: -3*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 125560 by 86.\nAnswer: 1460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 o when four letters picked without replacement from eoooeoeoeooeoeeoeeoe.\nAnswer: 80\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67425206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 651\/2604*(-40)\/14?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*u - 2*v + 3*v + 117 = 0, 4*u + 30 = 3*v - 4 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 711804 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) 3\/2 (b) 0.13 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1588, 5, -340 in descending order.\nAnswer: 1588, 5, -3, -340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 37685450 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -884 + 897. Which is smaller: g or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -4*j + 3. Calculate the smallest common multiple of (j\/(-6))\/(2\/36) and 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**3 - 17*s**2 - 7*s - 5. Let y(c) = c**3 - 14*c**2 - 7*c - 5. Let x(u) = 2*b(u) - 3*y(u). Determine x(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4*d**3 + 6)*(-7*d - 4*d + 4*d).\nAnswer: -28*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 5*g**2 + 2*g + 1. Let k = 48 - 51. Is 10 a factor of p(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -188 in -1\/3, -1\/4, 2\/3473?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -857.\nAnswer: 2\/857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/4 + 12312\/18144. What is the smallest value in -2, 3\/8, -7, -19, m?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*p - 1080 = 15*p. List the prime factors of p.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 11 + (388 - 431).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/23, 10\/71, 2, -2\/23 in decreasing order.\nAnswer: 2, 10\/71, 2\/23, -2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*x - 30*x + 540 = 0. Suppose -16*v + 390 = -x. What is the highest common divisor of 40 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -15, 4, -3, 575 in increasing order.\nAnswer: -15, -3, 2, 4, 5, 575","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - l + 1. Suppose 0 = -3*a + 4*a - 3. Let p be 1\/(-2)*(3 - a). Let i be g(p). Sort i, 2, 4.\nAnswer: i, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 214534051?\nAnswer: -214534053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 g, and 1 f when three letters picked without replacement from ligiiiqfffooqfi?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179 - 145 = 17*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x - 5*x + 4*x)*(-2*x + 5*x - x) + 5*x + 5*x**2 + 4*x**2 - 4*x.\nAnswer: -x**2 + x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -6013959 divided by 7\nAnswer: -859137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (75\/2)\/((-4)\/8). Let f be 91\/z + -4 + (-39)\/(-9). Is -1 != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 118, 248, 416, 622, 866, 1148?\nAnswer: 1468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 1 = -u + 4, 4 = 2*q + 2*u. Solve -q*w - 3*c + c = -13, -3*c + 11 = -4*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 956 = 4*m - 4*j, -3*m + j + 1087 = 374. What is the remainder when m is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 7*d**3 - 2*d**2 + 2*d + 2. Let j(x) = -21*x**3 + 6*x**2 - 6*x - 7. Give -2*j(u) - 7*v(u).\nAnswer: -7*u**3 + 2*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 897001608 is divided by 959?\nAnswer: 958","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b - 6*b = -3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 410772.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eq when two letters picked without replacement from efq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r - 13 = 3*r. Let i = 6 + -5. Let p be i + -6 - (-12)\/3. Which is bigger: p or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 5) to base 13\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -226*d**2 + 90*d**2 - 19*d**3 + 115*d**2 + d + 7*d**3 + 1 in the form c*d**3 + t*d + g + r*d**2 and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 5)*(-3 + 12 + 13)*(0*v - 2*v - v)*(v - v**2 - v).\nAnswer: 66*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1\/4)*u**2*(u\/((u*u**7)\/u))\/(u\/(u*u\/(u\/(u*u\/u**(-1)*u)*u*u))) assuming u is positive.\nAnswer: u**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14458 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123000323012 (base 4) to base 9.\nAnswer: 14283202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 63 = -l, 5*l - 103*s + 106*s - 67 = 6*l + 3*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 36*r**4 + 19*r**5 + 3*r**5 + 7*r**5 - 213*r**3 + 133 - 2*r**5 + 480*r - 421 - 42*r**2 = 0.\nAnswer: -3, -2, 1, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i = -11*i - z + 5, 0 = 5*z - 45 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39 - 16. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 2, -4, 84?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 2:20 PM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -4*g, 408*x - 414*x = 4*g + 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66 and 1052845761?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -6*r**2. Let w(d) be the first derivative of -22*d**2 + 68*d**2 + 17 - 26*d**2 - 21*d**2. Give w(h(t)).\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z + 3*m, -16 = -3*m - 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31*v**2 + 2*v**2 - 11*v**2 + (v - 2*v - v)*(-3*v + 4*v - 3*v) + 3*v**2 + v - v + v**2 + 0*v**2 - 2*v**2 + (-v - 2*v + 4*v)*(-v + 6*v + 5*v).\nAnswer: 38*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -51, 509, 2029, 4989, 9869?\n\"Answer: 80*i**3 - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 368 and 244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 4*l - 11 + 43, 3*g = -12. Let c be (-5)\/12 - 2\/6. Sort c, -2\/13, l in descending order.\nAnswer: -2\/13, c, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 1a75e9c?\nAnswer: -1a75e9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t - 1. Let l(k) = 5*k - 2. What is -l(f) - 6*v(f)?\nAnswer: f + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 45 = 2*v, 5824 = 8*v + 5*x + 5659 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -108822 divided by -15546\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100001 - -21012201020?\nAnswer: 21012101012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 24 = -2*n. Suppose -7*j + n = -2*j. Suppose 3*q - 2*u = 2, -7*q + 2 = -3*q - 3*u. Solve 2*w - 12 = d, -q*w + j*w + 3*d = -1 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (32 - 9 - 45)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of -s**3\/6 + s**2\/2 - 3*s. Let y(q) = -3*q**3 + 6*q**2 - 6*q + 3. Let i(a) = -3*p(a) + y(a). What is x in i(x) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6244, 49988, 168758, 400084, 781496?\n\"Answer: 6255*i**3 - 17*i**2 + 10*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -350 by -1254536.\nAnswer: 175\/627268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1420, -473, 516, 1553, 2644?\nAnswer: 3795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*m**4 - 1077*m**3 - 2607.\nAnswer: -16*m**3 - 3231*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -34, -25, -16, -7?\n\"Answer: 9*p - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 3:29 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1212, 1210, 1208, 1206?\n\"Answer: -2*k + 1214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h = -1635 + 139. Suppose 8*q = -0*q + h. What is the remainder when (-4)\/(-10) + 426\/10 is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -5263?\nAnswer: -5270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3904501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 0*k = -3*k - 5, 3*y + 4*k = -14. Let l be (-12)\/(-16) - y\/(-8). Solve l = -v + 4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278*a = -456*a + 3172 + 1456 for a.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -115. Let n(u) = -19. Let s(b) = -g(b) + 6*n(b). Let o(z) = 3*z - z + z - z. Give o(a) + 2*s(a).\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o - 1. Let y(x) = 9*x + 55. Let q be y(-6). Let w(d) = d**3 + d - 1. What is q*w(u) - v(u)?\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 687931240?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 306\/(-81) - (-2)\/(-9). Let u(b) = 5*b - b - 1 - 2*b + 0. Let g(n) = n - 1. Give t*g(i) + 3*u(i).\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 77 + 216. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/2 - -2)\/((-27)\/(-36)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/sqrt(6)*-3*-2*-5 + 5.\nAnswer: -30*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jjljllrjrrrrr.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0040025634 rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -4*f + c, -6 + 40 = 5*f + 4*c. Let d = 15 - f. Solve -d*n = -0*n + 20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wxww when four letters picked without replacement from xxzwxuwwwwwwwxwwxuuu?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 11*q**2 - 7*q - 6. Let o(k) = -24*k**2 + 15*k + 11. Determine 6*o(f) + 13*x(f).\nAnswer: -f**2 - f - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -83*h - 86 + 916. Let r be -1 + -2 + -2 + 333\/21. Which is greater: r or h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149 + 83 = -11*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m**2 - 3*m**2 - m**4 + (-2 + 2 - 1)*(2*m**4 + 13*m**4 - m**4) + 0*m**4 + 0*m**4 - 2*m**4 to j*m**4 + b*m + x*m**2 + k + r*m**3 and give j.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -139 - -113. Is 5776 - (f\/10 - -2)*5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -34*y - 509. Let o be f(-18). Is o greater than 104?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**2*j**2 + d**2*j - 8*d**2 + 229*d*j**2 + 24711*j**2 + 412597*j wrt j.\nAnswer: -2*d**2 + 458*d + 49422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h - 64. Let j(m) be the first derivative of 4*m**2 + 1698. What is q(j(y))?\nAnswer: -8*y - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 7.8.\nAnswer: 31.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 4*m + 692, -3*m = 2*c + 205 - 953. Solve -346 + c = 2*n for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mbmmmmmhmbrmmxmrmmmr. What is prob of picking 1 m, 1 r, and 1 b?\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 443 - 183. What is the common denominator of 2\/6*g\/(-8) and -67\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22905 and 6108?\nAnswer: 91620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6049.584mg?\nAnswer: 0.006049584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 69.\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m*m*m**(3\/2)*m))**7 assuming m is positive.\nAnswer: m**(-63\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/2, 5\/406, 5, -1\/8?\nAnswer: 5\/406","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 + -24 - 2) + 24?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13.3 - -3.\nAnswer: 16.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 10*m - 3 - 37*m + 1 as c*m + h and give c.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -5*i + 2*v + 86, -i = -5*v - 17. Calculate the remainder when 86 is divided by i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + -1. Let v = 3 + -1. Sort -1, p, v in decreasing order.\nAnswer: v, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t*t*t\/(t*t**(-5))*t*t)\/t)**30*(((t**(1\/4)\/t)\/t)\/t)\/(((t*t*(t*(t\/(t*t**13*t)*t)\/t)\/t)\/t)\/t) assuming t is positive.\nAnswer: t**(1125\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2735*t + 21922*t - 2 - 1179*t - 497*t.\nAnswer: 22981*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -2 + -3 - -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9449\/1030 - 13\/103. Suppose 3*k = -1 - 2. What is the common denominator of (k - 0)*27\/24 and i?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -1, -5.\nAnswer: -5, -1, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + s**2 + 1\/2*s**3 + 1\/2*s = 0. What is s?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26197, -26640, -27083, -27526, -27969, -28412?\nAnswer: -28855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/138, -3, 5, 1, 1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10028?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4157 + 4161. Solve -3*g + 23 = d*s, s - 5 = -5*g + 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 12 and 89 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6750 and 6198875.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 456*m. Let b(d) = 35*d. Give -40*b(y) + 3*o(y).\nAnswer: -32*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39885 is divided by 33380?\nAnswer: 6505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 108 + -163. Let o be (-155)\/z + (-4)\/(-22). Solve o*y - 4 = 11 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 1 - 3 = 0. Let d = -118 - -118. Suppose d = -12*i + 4*i. Which is smaller: t or i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 11*h**2. Let d be c(1). Suppose -3*n - 2*n + 195 = 0. Suppose -2*y + 5*y = n. Solve -5*a = -a - m + d, m = 5*a + y for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 162333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47 + 47 + 99*l - 101*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 - (-22608 - (-18)\/3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*(75\/30)\/(6\/(-24))\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbf. Give prob of sequence bb.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 16) to base 14.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 442344, 442335, 442324, 442311, 442296, 442279, 442260?\n\"Answer: -m**2 - 6*m + 442351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/123 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -166*w + 638*w - 236*w - 9912 for w.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.02 + -0.02. Let h = d - 0.6. Which is the second biggest value? (a) -4 (b) h (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 319238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 2.359, 8 in descending order.\nAnswer: 8, 2.359, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 2, -3, 74488, 4 in decreasing order.\nAnswer: 74488, 5, 4, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1051 + 1721*q - 3714*q + 1992*q.\nAnswer: -q + 1051","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3773, 0, -1\/4, 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -6*i**2 - 3. Let g(x) = -6*x**2 - 3. Calculate 5*g(k) - 6*q(k).\nAnswer: 6*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 60\/9*(-6)\/(-5). Let z be ((-280)\/15)\/((-5)\/(-15)). Find the common denominator of -81\/22 and ((-14)\/z)\/(i\/202).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5*b - 9 = -2*p, p + 3*b - 3 = 0. Calculate the common denominator of -59\/8 and (p - (-30)\/(-14))\/((-64)\/203).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4 + sqrt(12)\/sqrt(6))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (652 + 1)\/(4 - 3). Is (t\/(-5))\/((-5)\/25) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 184*n**3 - 360*n**3 + 0 + 186*n**3.\nAnswer: 10*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -221, -187, -41, 217, 587?\nAnswer: 1069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -734388 divided by -1?\nAnswer: 734388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19474, 84170, 194088, 349228, 549590, 795174, 1085980?\nAnswer: 1422008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*u**4\/11 - 86940*u**3\/11 + 314156718*u**2\/11 + 5675964840*u\/11 + 25573570776\/11 = 0. Calculate u.\nAnswer: -9, 7254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26747, 50854, 74939, 98990, 122995?\nAnswer: 146942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of -2*c**7\/105 + c**6\/30 + 4*c**5\/15 - 2*c**4\/3 - 3*c**2. Find g such that o(g) = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20.996 - 0.004. Let w = c - -10. Let z = w + 10.9. Is z at least as big as 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.406, 3\/10, 51 in increasing order.\nAnswer: 3\/10, 0.406, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 100011110002122 (base 3) in base 13?\nAnswer: 1016b85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 713*-203.\nAnswer: -144739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -73*b + 54*b + 4788. Suppose -275*u + 16353 = -b*u. Calculate the highest common divisor of u and 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 24\/(-40) - (-36)\/(-15). Sort -1, -2, n in decreasing order.\nAnswer: -1, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -1. Let i = 242656\/13 + -18680. Let s = 14 + i. Which is the closest to s? (a) -1\/2 (b) n (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_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: List the prime factors of 1689.\nAnswer: 3, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.16 (b) 17\/13 (c) 0 (d) -2 (e) -14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 4064*r. Let o(u) = 3*u. Determine v(o(y)).\nAnswer: 12192*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 4 + 7*f - 27 - 9*f to the form r*f + z and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 238 + 22 = 10*q. Suppose 13475 = -n + q*n. What is the hundreds digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 67, 0, -27 in ascending order.\nAnswer: -27, 0, 2\/7, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39814\/578 + 2\/17 is divided by (-16)\/3*27\/(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 2, -3\/4, -6 in decreasing order.\nAnswer: 2, 2\/9, -3\/4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6970 and 615.\nAnswer: 20910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1720119 to the power of 1\/3, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 - 18. Solve m - 2*m = v for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 26 + -21 - 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1683, -3370, -5057, -6744?\n\"Answer: -1687*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*r + 2\/19*r**4 - 4\/19*r**3 + 0 + 2\/19*r**2.\nAnswer: 2*r**2*(r - 1)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 972 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 5*q + 45, 3*v = -2*v - 3*q + 21. Let y be 130\/14 + v\/(-21). Let i(t) = 2*t - y - t + 3. Calculate i(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33.00000001 - -33. Round v to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*y**3 - 27*y**2 + 0*y**3 + 26*y**2 to i + c*y**3 + w*y + q*y**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m + 3*q - 613 = 0, -7*m + 224 = -3*m + q. What is the smallest common multiple of -1 - (1 + -2) - -8 and m?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -7) + (-28 - -13 - -2 - -37).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 8*o**2 - 6*o - 4. Let q be a(9). Suppose 5*s = -4*b + q, -s + 2*b = -b + 3. Solve -s*c = -0 - 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 110 and 2134?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 24 = 7*j. What is the first derivative of 1511 + 1684 + 92*f**j - 3067 wrt f?\nAnswer: 368*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h**2 + 11. Let t be (3\/12 - 19\/(-4)) + -10. Give c(t).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7880000 rounded to the nearest 100000?\nAnswer: -7900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-5) + (-1696)\/40. Let k be (-1)\/(-7) + 342\/b. Let y(i) = i + 11. What is y(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**2 + 28*o - 28. Calculate h(13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -4 (c) -0.2 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p + 23. Let u(y) = y - 2. Let x(q) = -6*u(q) - w(q). Give x(-9).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 2*w - 4*n - 18, -3*w + 27 = -n. Suppose w*y - 406 = 224. Let u = 12 + y. Is u a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u**2 + 7*u**2 - 5*u**2)*(201*u**2 - 58*u**2 + 45*u**2).\nAnswer: 1316*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-22)\/t*t\/((t*t*((t**(1\/2)\/t)\/t*t)\/t*t)\/t*t) assuming t is positive.\nAnswer: t**(-47\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3369950?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 6*v + 8. Suppose 0*c - v*c + 16 = 0. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.52 (b) 0.3 (c) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20029 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2834703 and 322002?\nAnswer: 1809","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18977 and 45?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 5 - 2*k - 2*k**3 + 8*k**2 + 3*k**3 - 2. Let s be (-12)\/(1 - 5) + -11. Is b(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*v + 91968 - 91752 for v.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 + 113. Let v = -85.19 + n. What is v rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50333424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)*-1)\/sqrt(10)*-6.\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 680 and 374.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1284*f*i**2 + 2*f*i - 30490*f + i**2 wrt i?\nAnswer: 2568*f*i + 2*f + 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-34) + 9233\/17. Suppose 0 = 2*g + 4*o - 534, 4*g - u = 2*g - o. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 85\/4 - 21. Let c(m) = 9*m - 49. Let j be c(7). Suppose 0 = -f + 2*h + 6, -5*f = -4*f + 2*h + j. What is the nearest to f in 1, n, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2484753547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 12:02 AM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5991216.\nAnswer: 2, 3, 7, 11, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.56783 milliseconds in microseconds?\nAnswer: 42567.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/(390\/(-40))*(-156)\/(-65)?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + w - 3)*(-2*w**4 + 5*w**4 - 2*w**4) - 9*w - 4*w**5 + 6*w**5 - w**5.\nAnswer: 2*w**5 - 9*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from myylymlsydlyyymmy. What is prob of picking 2 l?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 13*j + 2. Suppose 4*t + t - 60 = n, 2*n - 36 = -2*t. Let u be w(t). Let b be (-60)\/(-8) + (-3)\/u. Solve 0 = 5*g - 1 + b for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4163*y**2 - 8525*y**2 + 4362*y**2 + 1414*y**3.\nAnswer: 1414*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 225\/4 + -56. Let u = -9622 - -67327\/7. Is a <= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 y when two letters picked without replacement from {j: 1, f: 4, y: 1, v: 4, t: 4, g: 5}?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - 82*l**3 + 2*l**2 + 1 + 1 - 3*l**2. Is 11 a factor of u(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(91)*4 + sqrt(91))\/sqrt(7) - (sqrt(52) + 3 + sqrt(104)\/(2*sqrt(8) + sqrt(8))).\nAnswer: -16*sqrt(13)\/3 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2169*i + 6. Let k(r) = 3*r. Give j(k(l)).\nAnswer: -6507*l + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(-5)\/f)\/(f\/(f\/f**(-3\/7))))\/(f*f*f**0*f*f*f*f**(-1\/2)*f))\/(f**6\/(f*f*f**(2\/3)))**(-1\/6) assuming f is positive.\nAnswer: f**(-1199\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/2 of a week?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 16 = p, -2*p + 3*h + 1 + 17 = 0. Solve 0 = w - v, -w + 4*v + 0*v = p for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -3*n - 0 + 70, -14 = -o - n. Let p be 2\/o - 2\/14. Solve p = m - 0*m - 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2504 is divided by 1244?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(0 + sqrt(1088)) + -3 + sqrt(1088) + 2)**2 + (((sqrt(17) + -3)*-3)**2 - (sqrt(17) + -2)*-3))*-1.\nAnswer: -4581 + 19*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2236, -9020, -20342, -36202, -56600, -81536, -111010?\n\"Answer: -2269*u**2 + 23*u + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13604009 and 517.\nAnswer: 149644099","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 22, 49, 64, 61, 34, -23, -116, -251?\n\"Answer: -t**3 + 34*t - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -448 - -1542. Let f = -735 + l. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1675590 and -1675572 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1983 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 8 = -3*t, -3*b + 2*t - 11 + 4 = 0. Suppose -2*d + 5*d = 0. Let i(a) = 7 + d*a + 5*a - 2*a. Determine i(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kko when three letters picked without replacement from {k: 17, o: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 71432*i**3 - 5*i - 4137 wrt i.\nAnswer: 428592*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -19. Calculate the common denominator of 5\/(-4)*m\/9 and (-459)\/(-204)*(-8)\/(-30) - 612\/(-280).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -795*r - 47. Is v(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 518, 557, 596, 635, 674?\nAnswer: 713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5890179 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 12 = -2*l, -16*d - 3*l - 1 = -12*d. What is the remainder when d is divided by 2 - 0\/(1 + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 9*x**2 - 8*x + 5. Let g be h(8). Let c = 30 - g. Calculate the greatest common factor of 5 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 4:09 AM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-3)*45\/(-6) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 1504 = 3*f + 1523, 2*f = 4 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -786 + 1017. What is the remainder when k is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yf when two letters picked without replacement from nmnfdndzdmdynnn.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 122, -211, 3.\nAnswer: -211, -3, 3, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, j: 3, v: 6, k: 2, b: 2}. What is prob of picking 1 j and 1 v?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 73*c - 581. Let b be l(8). Solve 9 = 4*j - b*q, -53*q + 52*q + 1 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187*a**3 + 53*a**3 + 1 - 1.\nAnswer: 240*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -10 + 29 + ((-2)\/(-2))\/1. Let m be 52\/x*1*-2. Let n = m + 27\/5. Which is the biggest value? (a) n (b) -2\/7 (c) -50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 7097\/8, -43 in decreasing order.\nAnswer: 7097\/8, -0.3, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*s - 4. Solve 3*w = 4*r + 10 - 45, -s*r = -2*w - 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -321022112 (base 5) to base 15.\nAnswer: -1b8907","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5.7179*-0.01\nAnswer: 0.057179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3 + 3*v + v + 0 - 2*v. Let d be b(-3). Let i(p) = p + 2. Give i(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50 and 2000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 221903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -eae3a (base 15) to base 2\nAnswer: -10110110000011101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2 + 8*g + g + 3*g - 3*g. Let t(d) = 16*d + 5. Let y(l) = l + 1. Let r(x) = -t(x) + 2*y(x). Determine 5*r(k) + 8*s(k).\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 37 + 0*y**2 - 21*y - y**2 - 16 - 45. Is b(-6) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(1\/6))**(-3\/5)\/(((y*y\/y**(-2\/21))\/y)\/y)**13 assuming y is positive.\nAnswer: y**(-73\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 76 and 874.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*s + 20 - 2*s + 35*s with respect to s.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 81?\nAnswer: 7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -89*y**4\/12 - 35*y + 14. Let f(t) = -28*t**2. What is o(f(z))?\nAnswer: -69776*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -98938124.\nAnswer: -9893812.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12.7 + -12.69999866. What is a rounded to seven dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-57)\/42)\/19)\/(38961\/(-9324)).\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 14*h**3 - 521*h**2 + 113*h - 60. Let c = -5 + 11. Suppose -3*b + 261 = -2*g + c*g, 4*b + 20 = 0. What is the remainder when g is divided by z(37)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -151298672, -151298670, -151298668?\n\"Answer: 2*n - 151298674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33984 is divided by 1711.\nAnswer: 1475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/((n*n**10)\/n))\/n)\/(n*n*n**(-15)*n))\/((n**13\/n*n)\/n**(3\/4)))**22 assuming n is positive.\nAnswer: n**(-451\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 5:41 PM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*w + 154 = 2 - 38 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**3 + u**2 - 2*u - 4. Let y(x) = -3*x**3 - x**2 + 3*x + 3. What is 4*k(n) + 3*y(n)?\nAnswer: -n**3 + n**2 + n - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -20, -47, -78, -113, -152?\n\"Answer: -2*c**2 - 21*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 100 - 44. Suppose -4*s + c + 108 = 0. What is the remainder when s is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*i**5 + 8469*i**4 + 450237*i**3 + 750507*i**2 + 184284*i - 124476 = 0.\nAnswer: -46, -1, 2\/7, 451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -3 + -1 + 5 + 44 + -211 + 71?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6820 divided by 3410.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*k - 3*k + k)*(-786*k**2 - 1182*k + 1182*k) as h*k + f + l*k**3 + v*k**2 and give l.\nAnswer: 3930","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -312, -1212, -2720, -4842, -7584, -10952?\n\"Answer: -a**3 - 298*a**2 + a - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 - 3*z**2 + 0*z**2)*(0*z + 0*z + z**2) + 17857*z - 17857*z - 260*z**4.\nAnswer: -262*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 15*w**2 - 47*w + 21. Calculate h(-9).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -160644947*j**2*t - 2*j**2 - 2*t**4 + 20069239 with respect to t.\nAnswer: -160644947*j**2 - 8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-11 + 10 - -5 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 6*t - 1 = -k, 0 = 7*t - 228*k + 223*k - 3 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 10*p - 540 = 9*p, -4*p + 405 = 3*k. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1)\/m*(m*m**(6\/23))\/m)**25 assuming m is positive.\nAnswer: m**(-1000\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y = -7*y + 20, -82 = -3*v + 4*y. Is v a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 10*c - 4. Calculate m(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -2*f - 2249 + 8607, -5*f + 15926 = 3*a. Is f a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 3*g**2 - 4*g - 3. What is the smallest common multiple of 8 and b(-3)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/5600 and 59\/1120?\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -24, -1\/2, -451, -0.1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 271*a**2*k**4 - 6*a**2*k**3 - 16*a**2*k**2 - 2*a**2 + 3*a*k**2 wrt k.\nAnswer: 6504*a**2*k - 36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 15 = 3*b, -3*b - 12 = -3*s + s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4 - (-5 + 2)) + 1076 is divided by 40?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 118128 and 6072?\nAnswer: 1299408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*z**2 - 5*z + 18*z**2 + 9*z**2 + 20*z**2 + 4*z.\nAnswer: 35*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33285777 and 798.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/9 (b) 86\/11 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**(-1\/3))\/r)**29\/(r**14*r**(-17)))**26 assuming r is positive.\nAnswer: r**(988\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -11. Suppose -m + 8 = -2*i, 0*i + z*i + 14 = 2*m. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/121008 and -41\/2226?\nAnswer: 44893968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10064 + -6?\nAnswer: 10055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -9*f**2 - 22*f - 1. Let a be r(-1). What is the highest common factor of 156 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 c when three letters picked without replacement from {e: 6, t: 4, c: 3}.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5b (base 12) to base 15\nAnswer: -4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22521377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + 2 + -1 - sqrt(19)) + 1 + (-1*(sqrt(19) + -1) - (sqrt(38)*-1)\/sqrt(2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in -0.5, 0.01, -2\/11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/(-27))\/((-2)\/(-12)). Suppose 0 = 2*x - f - 5, x = -5*f - 3 + 11. Suppose t + n - 120 = -x*u, -2*u + 77 = -t. Does 13 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1928754 = -5*u + 133754. Round u to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - h - 7, -2*p - h - 3 = -p. Suppose p*d = -3*r + 5*d + 6, 3*d - 2 = -r. Solve -a = -5*a - 2*o + 16, 0 = a + r*o - 1 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 533 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, -47, -5 in decreasing order.\nAnswer: -2, -3, -5, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/12)\/(73\/(-2628)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 5679672.\nAnswer: 11359344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 10*n**2 - 15*n - 17. What is q(-9)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*f**2 + 4*f**2 - 7*f**2)*(-8 + 8 - 100*f**2) - 4*f**4 - 2*f**4 + 5*f**4 as m*f**4 + q + n*f**2 + l*f + d*f**3 and give m.\nAnswer: 1499","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 8:58 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -37*p - 101. Let i(a) = -9*a - 23. Let d(g) = -9*i(g) + 2*y(g). Let v(c) = -29*c - 21. What is 9*d(q) + 2*v(q)?\nAnswer: 5*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2 + (-36)\/15 - ((-755560)\/25 - 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*n - 2*n - 3*n + (3*n - 2*n + 0*n)*(17 - 14 - 8) - 11*n - 19*n + 8*n.\nAnswer: -25*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -328*n - 323*n + 846*n - 198*n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 9390*z**2 - 2 + 3*z - 9387*z**2 - z. What is l(-4)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -u**3 - 29*u - u**5 + 6*u**5 - 3*u**5 wrt u.\nAnswer: 40*u**3 - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 78*l**2 - 37*l + 19*l + 14*l - 7 in the form z + u*l**2 + q*l and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**3 + 4944460*g**2 + 1527977820992*g - 1527982765456 = 0. What is g?\nAnswer: -618058, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-10) + 48\/20 + 11. Let v = 13 + x. Calculate the remainder when 98 is divided by v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11)\/(-2) + 10\/(-20). Suppose 5*w + 2*p = 4 - 0, 4*p = -2*w + 8. Solve b = -w*b - i for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 0.1, 3.4, 2\/7?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-2\/5)*d)**29\/(d**(2\/9)*d**(1\/13)))\/(d*d**3\/d*d*d**4\/d*d*d**(-2\/9)\/d**4) assuming d is positive.\nAnswer: d**(2751\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by 19.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 15\/2, 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 37591624*l + 0 + 37591594*l.\nAnswer: -30*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/1004333 and -55\/639121?\nAnswer: 7030331","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5515 = -5*p + 3*u, -4405 = -0*p - 4*p + u. Round p to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1994 - -1057. Let w(p) = -336*p - 12. Let z be w(-4). Let i = z + r. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*h - 13 = -7*k, -12 = 4*k + 4*h. What is the third smallest value in 4, k, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32264\/1962 - 10\/(-18).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00198538 to five dps.\nAnswer: 0.00199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*k**3 - 1 - 5*k**3 - 12061*k**4 + 12057*k**4 - 17*k**2 in the form a*k + n*k**4 + h*k**3 + m*k**2 + g and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 709 = -3*c, -3*d - 103 - 128 = -c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 + -23. Let q be (-1)\/3*r*-6. Let y be ((-33)\/22)\/((-2)\/q). Solve 2*v = -3*z + 9, -v + z + y - 1 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/4)\/(f\/(f**(-4)*f)*f*f*f)*(f*f**(-1\/3)\/f*f)**(-1\/31) assuming f is positive.\nAnswer: f**(-2705\/372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4627*d**2 + 4*d + d - 5*d.\nAnswer: 4627*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 90\/(-21) - ((-6)\/21 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + d + 3*d + 74, 2*d + 46 = 2*o. Suppose -8*c = c - o. Factor 12*y + 2*y**5 - 32*y**c + 6*y**3 + 18*y**3 - 4*y**5 - 2*y**5.\nAnswer: -4*y*(y - 1)**3*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (160\/620)\/((-2292)\/(-1190121))?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3\/8 - 53796*q**2 - 1899521694*q + 2146990092336.\nAnswer: -3*(q - 1096)*(q + 72276)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + 22 + -1 + 8 + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 - 9. Suppose 3*l = -5*x - g, 0 = -5*l - 3*x + 3 - 2. Solve l*i - 9 - 5 = -4*h, 0 = -i - 3 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11253 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5c014 (base 13) to base 11\nAnswer: 106126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q. Let m(t) be the first derivative of -113*t**3\/3 - 7. Calculate p(m(k)).\nAnswer: -226*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 + -29. Let f = -0.2 - -0.1. What is the second biggest value in f, 5, j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 + 16. Suppose -k + 232 = -y*m, -k - 4*m + 204 = m. What is the greatest common factor of 28 and k?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33 + -9. Let u = 2 - z. Calculate the highest common divisor of 11 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(-52))\/((-159)\/(-3)). Let p = 150193\/24804 + g. Let v = 8922 + -196249\/22. Find the common denominator of v and p.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 845709 or 9302789\/11?\nAnswer: 845709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/32 and 61\/32236.\nAnswer: 257888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-24))\/(7\/28)*-15?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -1 - (42 + -45)) + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9247.\nAnswer: 7, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.38 + 4.38. Which is the fourth biggest value? (a) 5 (b) q (c) -5 (d) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10201 + 50?\nAnswer: 10251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7643 is divided by 1519.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5*6\/180*(-12)\/(-15). Let p = -18 + 17.7. Let h = -0.3 - p. What is the smallest value in h, 2\/5, -0.3, x?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -796, -788, -778, -766, -752, -736, -718?\n\"Answer: z**2 + 5*z - 802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16062*p**3 - 19 + 16066*p**3 - 32132*p**3.\nAnswer: -4*p**3 - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 343 - 472. Which is the fourth biggest value? (a) 1\/4 (b) -2 (c) -0.5 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/26230 and 131\/2147200.\nAnswer: 92329600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 70 = -50. Suppose f = 6*q - 5*q. Does 12 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 3*x + 3134, -7*u + 12616 = -3*u + 4*x. Suppose -u = -4*d + 1623. Suppose 0 = o + 3*l - 1798, -d = -o - 5*l + 607. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 2 - (-7 + 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**3*u**2 + 3*f**3 - 2*f**2*u + 56*f*u**2 wrt f.\nAnswer: -12*u**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.11 and -17532?\nAnswer: -1928.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**3 + 12*k**2 + 6*k + 1. Let t be c(-5). Solve -w + 0*u = -4*u + t, -5*w + 5*u - 30 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6563106 and 198.\nAnswer: 6563106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 1:20 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -61 - -74. Suppose -3*v = 4*a - 133, -4*v = 19 + 1. What is the remainder when a is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/8 + (-1)\/(-4). Suppose 5*f - 37 = -p, -3*f - p + 15 = 2*p. Suppose -2*n - f = g, 4*n + 0*n = 5*z - 21. Let l(r) = 4*r**2 - r. Give l(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 960*k**2 - 56*k - 289. Is i(-15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 202350 to the nearest 1000.\nAnswer: 202000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3518?\nAnswer: 2, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 136*k + 279*k**3 - 90*k**3 - 91*k**3 - 94*k**3 to w*k**2 + f*k + h + t*k**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1))**(-3\/29)*(t\/t**3)\/t**4 assuming t is positive.\nAnswer: t**(-171\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-14))\/(40\/(-30))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 50.7 - 50.7703. Round d to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -117*q**2 + 71*q - 43250?\nAnswer: -234*q + 71","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31357?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34 - 31. Suppose l*k + 5*q + 11 = 0, 2*q = k - 2*q - 19. Suppose -k - 1 = -h. Solve -j + f + 3*f - 9 = 0, h*j = 5*f - 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 less than 0.11424?\nAnswer: 12.11424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14\/111 or -1?\nAnswer: -14\/111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/14*-1 - (-78220)\/28. Suppose -2754 + k = 8*j. Let x be (6\/8)\/(1\/8). Solve -o = -j, -o = 3*c - x*o + 37 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/4)*o**(-5))**(-1\/5))**22 assuming o is positive.\nAnswer: o**(231\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1602204848.85 + 0?\nAnswer: -1602204848.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -4*n**2. Let i(b) be the second derivative of b**6\/360 + 5*b**4\/12 + 3*b. Let x(y) be the third derivative of i(y). Give m(x(k)).\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260 is divided by 93.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -t, 2 = -4*k - 3*t + 1. Let o be (-2)\/(-4 + k) + -1. Suppose o = -4*n + 105762 + 26238. Round n to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 283 + 280 = h, 3*z + 19 = -4*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30 + 7*g + 18 - g**2 + 21 + (-5 + 4 + 3)*(2*g**2 + 0*g + 0*g).\nAnswer: 3*g**2 + 7*g + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 10:02 AM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 9:12 AM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -213 + -40?\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -j, 10*x - 4*x + 5*j - 89801 = 0. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 6*u - 2. Let n(c) = 41308 - 14*c - 41308. Determine n(p(b)).\nAnswer: -84*b + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of 17\/6*n**3 - 69*n + 0*n**2 + 0. Let q(y) = -3*y**2. Give o(q(i)).\nAnswer: -51*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bdo. What is prob of picking 1 d and 1 o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 473, 998, 1525, 2054, 2585?\nAnswer: 3118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -326 - -5548\/17. Let x = t + -1\/51. Which is the biggest value? (a) 3\/2 (b) 2 (c) -2 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 409 = -3*i + 1927. Does 11 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + v**2 - 3*v - 1. Let r(k) = -2*k**3 + k**2 - 4*k. Let i(h) = 2*r(h) - 3*s(h). What is i(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -6*x - 3. Let b(q) = 9*q + 5. Let z(k) = -5*b(k) - 8*p(k). Let s be z(3). What is the greatest common factor of s and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 5*a - a. Let c = 36 - a. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from plllpplpzplpllzzl. What is prob of sequence zz?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6372 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 26*a**3 - 5*a**2 + 6*a - 2. Calculate j(1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 103964561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139*j - 2410*j**3 + 119*j**3 + 137*j.\nAnswer: -2291*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggguggghhggghcg. What is prob of picking 4 g?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15147*s + 15147*s - 223 - 48*s**2 wrt s.\nAnswer: -96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.17 - 0.65. Let j = y - -0.72. Let i = -253\/4 - -63. Which is the biggest value? (a) j (b) i (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 143 and 1496.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -23 at least as big as -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 432 and 235548.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 18 = -s. Let d = 6 + s. Suppose -4*h - 8 = -5*l, 0*h = -3*l - 3*h - 6. Solve 5*r + 5 + d = l for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (1 - -29 - (-123 - -124))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - v = -4*v - 46437, 4*d + 5*v - 61952 = 0. Is d a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 7:37 AM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -147255, -294509, -441763, -589017, -736271, -883525?\nAnswer: -1030779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*j**3\/4 - 819*j**2\/2 - 129*j - 10 = 0.\nAnswer: -2\/13, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1384838 = 224*x - 11319686. Is x a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - n + 2. Let v be h(0). Let k(o) = -o**2 - 2*o + 8. Let y be k(0). Solve 2*j - y = -v for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((4 + ((sqrt(405) + 3 - sqrt(405)) + -2 - sqrt(405)) + (sqrt(405) - -4*(-2 + sqrt(405))))*5 + 0)**2.\nAnswer: -10800*sqrt(5) + 324450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1201706, -2403411, -3605114, -4806815, -6008514, -7210211?\nAnswer: -8411906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12867 + 347467\/27. Find the common denominator of 50\/21 and p.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 2328?\nAnswer: 25608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 108505 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.121639 micrometers to kilometers.\nAnswer: 0.000000000121639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 times -41.7533?\nAnswer: -25.05198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -523 (b) -4 (c) -46 (d) -0.4 (e) 2\/43\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u**5 - 238*u**4 + 987519*u**3\/5 + 6554764*u**2\/5 + 1717840*u + 636480 = 0 for u.\nAnswer: -221, -5, -4\/5, 180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*u + 824 = 42 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5283 + -5284. Which is the nearest to p? (a) 0.1 (b) -131 (c) 20 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 5*p**3 - 14*p**2 + 2*p + 26. Is 17 a factor of y(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 860, 2717, 5570, 9419, 14264?\n\"Answer: 498*s**2 + 363*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -62, -177, -390, -731, -1230?\nAnswer: -1917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 420 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**3 + 13*g**2 - g + 27. Let r = -44 - -62. Calculate the remainder when s(-6) is divided by r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(2*m**4 + 3*m**4 - 3*m**4) + (m + 5*m - 4*m)*(-6*m**3 + 3*m**3 - 4*m**3).\nAnswer: -16*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o + 55 = 3*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 0 + 5)*(-4*z + 4*z - z) + (7*z - 3*z - 3*z)*(3 + 0 - 5) - 2*z + 5*z - 4*z.\nAnswer: -15*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 1 = -0*a, -3*a - 197 = -4*o. Let k = -56 + o. Let z(c) = c**2 + 1. Let g be z(-1). Put k, -4, g, 2\/7 in descending order.\nAnswer: g, 2\/7, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**3 - 2*g**3 - 2*g**3)*(-31*g + 171*g + 62*g).\nAnswer: -404*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/5)\/(18\/27*(-75)\/(-50)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p - 3*p - 13*o - 23*o + 299, 0 = 3*p - 10*o + 5*o + 60 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20446.4 rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -3\/4*o**4 + 2\/3*o**3 - o + 0*o**2 + 15. Let q be j(-1). Solve 5 = -q*r + f, -r + f = 2*r + 5 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -246*b = -239*b - 16212. Does 60 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -181, 1, 0, -8, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -71.5 (b) -4 (c) 180\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 2*m - 8. What is the greatest common factor of m and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 5)*(52*j + 7 - 26 + 16).\nAnswer: -52*j + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -431219, 2 in decreasing order.\nAnswer: 2, 0, -431219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of s**6\/720 + s**4\/12 + 187*s**2\/2 - 161*s. Let y(o) be the third derivative of l(o). Let r(n) = 255*n**2. Calculate y(r(p)).\nAnswer: 255*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 910*m**2 + 9*m + 53. Let h(y) = -606*y**2 - 6*y - 34. Calculate 14*h(f) + 9*r(f).\nAnswer: -294*f**2 - 3*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 5*y**2 + 2*y - 9. Let s be o(5). What is the closest to 0.1 in s, -5, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (248\/(-24))\/((-1)\/(-9)). Let m = r - -137. List the prime factors of m.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/4)\/k**(-1\/13))**13\/((k**0*((k\/(k\/k**(-5))*k)\/k)\/k)\/(k**(-6)*(k\/k**(-2\/5)*k*k)\/k)) assuming k is positive.\nAnswer: k**(-127\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirteen eighths of a kilometer?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 122103212 (base 4) in base 9?\nAnswer: 173722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 312202 (base 5) to base 8\nAnswer: 24076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 45*t + 1 - 26 + 7 - 6*t)*(-77*t**3 - 26*t**3 + 30*t**3).\nAnswer: -2847*t**4 + 1022*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1965 + 1960.345. Round p to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 3 - 23. Suppose -11*u - z*u**2 + 10*u**2 - 3*u**3 - u + 7*u**2 = 0. What is u?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 193\/840 and -7\/15669.\nAnswer: 4387320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, a: 1, s: 5, q: 1, u: 2, b: 4}. What is prob of sequence usqs?\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3509 - -0.2509. Let p = 2.1 + -2. Which is the closest to p? (a) 2\/3 (b) v (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1*1)\/(4\/8). Let f be (-1 - (-3 + 2))\/i. Sort 0.2, -3, f in decreasing order.\nAnswer: 0.2, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 divided by 314780.\nAnswer: -27\/314780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -482 * 25\nAnswer: -12050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + f. Let y be l(-5). Suppose -18 = -4*z + 2. Suppose k - z*k = -20. Solve y = k*r, -2*g = g - 5*r + 17 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7889 and 196?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20195 + 20198. Which is the nearest to -1? (a) 5 (b) -2\/61 (c) o (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*h**4 - 4*h**3 + 1230717*h**2 + 34527*h + 4003 wrt h?\nAnswer: -120*h**2 - 24*h + 2461434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**4*v*v*v\/v**(10\/13))\/(v**(-9\/2)*(((v*v**20)\/v)\/v)\/v) assuming v is positive.\nAnswer: v**(-163\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 165, 125, 85, 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 855.3 - 855. What is the closest to 1 in 1, 0.5, 0.4, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-15)*l)\/l)\/l)**(-48)\/(((l*l\/(l**(2\/77)\/l))\/l)\/(l\/(l\/(l*l**(-27))))) assuming l is positive.\nAnswer: l**(56982\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 v when three letters picked without replacement from {v: 2, s: 1, x: 1, f: 10}.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 22*x)*(-x + 2*x - 3*x) + (-4*x + x**2 + 4*x)*(-3 + 3 + 2)*(3 - 3 - 2) to j + m*x + t*x**2 and give t.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*c**4\/3 - 11056*c**3\/3 + 7382*c**2 - 11344*c\/3 + 199\/3 = 0. What is c?\nAnswer: 1\/55, 1, 199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -380*d - 74 = 3*g + 377*d - 753*d, 4*g + 8*d = -144 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + 28 + (-6 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -495, -1771, -3827, -6663, -10279?\n\"Answer: -390*h**2 - 106*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 26*n + 64. Let p be q(-28). Suppose -h + 585 = -v, -3*h = p*v - 4*v - 1783. What is the hundreds digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 233233 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-6)*z)\/((z**(-6)\/z)\/z*z)*((z\/(z\/(z\/(z\/(z\/z**(1\/4)))*z)))\/z)**(-4\/9)*(z**8\/(z\/z**(-1)))**38 assuming z is positive.\nAnswer: z**(689\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -130? (a) -2 (b) 4 (c) 0.2 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-30))\/(216\/1620)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.3 + -5. Let d(h) = 15*h**2 - 315*h + 35. Let y be d(21). What is the second biggest value in y, 4, s, -0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 273 and 42705.\nAnswer: 298935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -313543*v**3 + 2*v**2 - v - 198654 wrt v.\nAnswer: -1881258*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 448 by -8.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/1 + (2 - -1). Let n = 27 + -30. Sort -2, t, n.\nAnswer: n, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -4*p - 595. Suppose -90*n + 70*n = -140. Is 5 a factor of (-1)\/1 - p\/n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.95 - -0.05. Let o be 1\/4 + 1806\/40. Let r = o + -45. Is d greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6721397, 6721395, 6721393, 6721391, 6721389?\n\"Answer: -2*r + 6721399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 6 + 7 = c, -c - 12 = -2*h. Suppose 3*w - x - 21 = -4, h*w = 2*x + 30. Let d(v) = v**3 + 2*v - 7. What are the prime factors of d(w)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*x + 10 = -22*x, 2*s + 2*x - 10 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/40 - (2014\/5740 - 1). Let s be (-4)\/10 + 537\/1230. Let k = t + s. Is k > -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1084679528?\nAnswer: 2, 135584941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8154250 and 1550?\nAnswer: 252781750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2615*q - 2615*q + 60*q**2 in the form f*q + c + u*q**2 and give u.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 10017 = 3*i - 1566, 5*i + 2*s - 19305 = 0. What is the thousands digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 + 3. Let p be s(0). Suppose -12 = -p*d - d. Let a(g) = -d*g**2 + 0 - 2 + 2. Let b(h) = -h. Determine b(a(m)).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/180004 and -11\/79?\nAnswer: 14220316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-15)*1059\/(-9884).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9011, -13481, -17951, -22421, -26891?\nAnswer: -31361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3*i = -2454, -10*c + 8*c + i = -1634. Let u = -173 + c. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.569 - 0.53. Let j = g + 0.061. Let f = -43 + 43.5. Which is the closest to j? (a) 5 (b) f (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.026*-22.\nAnswer: 0.572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 4*u - 6. Let i be v(4). Which is smaller: i or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 299835 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 105 = -3*o, -4*o + 144 - 4 = u. Let p be 10\/o*(-4)\/(-2). Which is greater: 0 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ecqcqkkxcxgeqx. What is prob of picking 1 c, 1 x, and 1 k?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - 1 - (-1 - -10). Let b be (-6)\/(-15) - 46\/p. Let s(y) = 7*y**2 - 2*y - 1. Let o be s(2). Solve 3*r + 16 = -2*r + 4*a, -b*r - o = 3*a for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 1. Let a(y) = 2*y**2 + 3. Let d = -6 + 4. Let j be (30\/(-3))\/d*-1. Let z(m) = j*o(m) + a(m). Factor z(c).\nAnswer: 2*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*g + 867683 = 3944*g + 1655*g + 337283 for g.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 807\/5012330 or 0?\nAnswer: 807\/5012330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 484.3509s in milliseconds?\nAnswer: 484350.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-7) - 897\/(-5187)?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1\/(-5))\/(8\/(-145)) and 19\/12*1*(39 - 30).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3 - 253*q**2 - 109293*q + 3115665.\nAnswer: (q - 471)*(q - 27)*(q + 245)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 times -2?\nAnswer: -226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 297.675 weeks in seconds?\nAnswer: 180033840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 2 = -2*x - 3*n, 5*n = -2*x - 2. Suppose 5*p + c - 29 = 0, 2*p - 4*c = -0*p + 16. Let z be x\/p + (-8)\/3. Are z and -3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -114, -228, -342, -456, -570?\nAnswer: -684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 336*d - 17*d**2 - 9*d**2 + 28*d**2 to k*d**2 + t*d + c and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -178 or -1949\/11?\nAnswer: -1949\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1503*p**2 + 8181*p**2 + 2780*p**2 + 6712*p**2.\nAnswer: 19176*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55189 to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = n - 165. Suppose 3*j + 4*h = -0*h - n, -2*j - 39 = -3*h. Let x be (-5)\/(j\/6) + -1. Solve 3*z + x = k + z, 0 = -5*k - 3*z - 21 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 908\/59977 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a century in months?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 15, 29, 51, 81?\n\"Answer: 4*o**2 + 2*o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21938632?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2021141003 (base 5) to base 11.\nAnswer: -233a307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3677\/3 or -4643?\nAnswer: 3677\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(2057))**2 - (-2 + sqrt(1700))**2)*-3 - (2*(0 + sqrt(2448)) + -1 + sqrt(2448)*1)**2*2.\nAnswer: -63638 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (16\/10)\/(72\/326520) and 44?\nAnswer: 79816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3272 not equal to 3272?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 75555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14695 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-2) - 665\/10. Let a = 12 - g. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -9662c (base 16) to base 8\nAnswer: -2263054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/14*2)\/((-2)\/(-7)). What is the third derivative of 27*q**v + 610*q - 3*q**2 - 610*q wrt q?\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3 + 0 + 2 - 1 + (-2 + 4 - 3)*(2 + 1 - 5) + 2 + 0 + 0)*(3*m**5 + 6*m**3 - 6*m**3).\nAnswer: 9*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 2\/9 (c) 0.04 (d) 57\/2 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (5\/((-140)\/28))\/(3\/45)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 9:38 PM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*d**5 + 2*d**4 - 314*d**3 - 77024*d.\nAnswer: 140*d**3 + 24*d**2 - 1884*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309565346 is divided by 981.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/((-816)\/(-201)) - 45\/120. Let o(u) be the first derivative of 4\/85*u**5 + 5\/34*u**4 - 1\/17*u**2 + 2\/17*u**3 + 5 - s*u. Factor o(g).\nAnswer: 2*(g + 1)**3*(2*g - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 12 = -8*m. Suppose 2*i = -4*p - 4, 3 = -2*p - m*i - 5. Solve p = -3*j - 6 - 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10259\/4102 + 2\/2051. Let z = 51 - 67. Which is the smallest value? (a) z (b) 2\/17 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5602814484 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 40667269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00599764919 rounded to four decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 13*w - 3. Suppose 4*l = -3*q + 6*l + 12, 0 = -3*q - 5*l + 33. Suppose 2*i - q*i = -8. Is c(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53591537 to the nearest integer?\nAnswer: 7321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + q + 0*q)*(-4*q - 2*q**3 + 4*q) + 5*q**4 - 3*q**4 - 3*q**4 + (2*q**2 - q**2 + 0*q**2)*(-93*q**2 - 57*q**2 - 13*q**2).\nAnswer: -160*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 2*q + 18, 11*k - 15*k - 1 = -5*q for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2302186 is divided by 26769?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/8 + 179*g**2\/8 - 10201*g\/2 + 124501\/2.\nAnswer: (g - 122)*(g - 13)*(g + 314)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -48 + 67. Suppose 4*x - 25 = -x. Calculate the remainder when a*(-3 + 4\/1) is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -k**7\/42 - k**5\/20 + 5*k**2. What is the third derivative of g(f) wrt f?\nAnswer: -120*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7105075?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 632163694?\nAnswer: 2, 23, 71, 193559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 353, 347, 329, 293, 233, 143, 17, -151?\n\"Answer: -f**3 + f + 353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -17149, -34284, -51417, -68548, -85677, -102804, -119929?\n\"Answer: y**2 - 17138*y - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.02388 - 0.122\nAnswer: -0.09812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 5:55 PM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 904998*q + 4. Let m be d(2). Round m to the nearest one hundred thousand.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/(sqrt(2) + (sqrt(2) - (sqrt(8) + sqrt(2)) - sqrt(2))))\/((sqrt(2) + sqrt(32) + sqrt(2))*1) + -2.\nAnswer: -2 - sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*h*m*s**3 - h*m*s**2 + 23*h*m - 5*h*s**2 - 653*h*s + 8*m + 4*s**3 wrt m.\nAnswer: 4*h*s**3 - h*s**2 + 23*h + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -477, -722, -727, -486, 7, 758, 1773, 3058?\n\"Answer: v**3 + 114*v**2 - 594*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 - 1.8. Which is greater: t or -47?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/20 - (-3)\/(-5). Suppose m - 2*m + 5*k - 11 = 0, k - 3 = q. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 56613*j**2 + 1457*j + 183190519?\nAnswer: 113226*j + 1457","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4*d - 2 = -747, -4*o + 991 = 3*d. Suppose -3*n + 5*t = -254, -4*n - 2*t = -n - o. Suppose 0 = -j + n + 55. What are the prime factors of j?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from eoeeeeeo?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -21\/2*y + 0 + 1\/6*y**3 + 1\/3*y**2 = 0.\nAnswer: -9, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -76*r + 45 - 37 + 94 + 27 + 7 + 4*r**2.\nAnswer: 4*(r - 17)*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1627639.2597 take away -14?\nAnswer: -1627625.2597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -12*w - 39. Let a be o(-5). Suppose 22*l = a*l + 364. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 13*q**3 + 239*q**2 + 140*q - 89. Let c(h) = -25*h**3 - 477*h**2 - 278*h + 179. Let l(g) = -6*c(g) - 10*o(g). Factor l(r).\nAnswer: 4*(r + 1)*(r + 23)*(5*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2*(sqrt(396) + 2) - ((sqrt(396) - ((sqrt(396) + (sqrt(396) - (sqrt(396)*-2 - sqrt(396) - sqrt(396))))*-4)**2) + -2*sqrt(396) + -1).\nAnswer: 18*sqrt(11) + 228106","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -44 + 48 + (-4 - 64).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h**2*l - 953*h**2 - 87843*h*l - 15 wrt l.\nAnswer: h**2 - 87843*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -3*q + 4*t + 4, 12 = 5*q + t. Factor 4\/3*u**q - 1\/6*u**3 - 8\/3*u + 0.\nAnswer: -u*(u - 4)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41 - -122\/3. Let h = -84351 + 84342. Which is the second biggest value? (a) 0.2 (b) h (c) l (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5}. What is prob of sequence ssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8819500462 to the power of 1\/9, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 648*s**2 + 12. Let r(t) = -3*t**2 + 1. Give -p(k) + 12*r(k).\nAnswer: -684*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/38069280 and -31\/510?\nAnswer: 647177760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12 - 33?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, 2\/13, -1\/6, 0.094?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2807401*o*s + 3*s + 11828 wrt o.\nAnswer: 2807401*s","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 - -29. Suppose -2*y = -d*y. Suppose -o - 305 = -5*a, y = 3*o - 0*o - 15. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**2 - 161*b + 70*b - 433*b - 303*b.\nAnswer: 2*b**2 - 827*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 248, 2\/3, -155.3, 0?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(-6))\/z**6*(z*z\/z**(1\/3))**29)\/((z**(4\/3))**(-44))**(3\/25) assuming z is positive.\nAnswer: z**(3403\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -915.99999589 + 916. Round w to 7 decimal places.\nAnswer: 0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of b**3\/6 - 6*b**2 - 2*b + 82. Let j(h) be the first derivative of v(h). Calculate j(16).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6 - 1 - (1 + -2). Let d(v) = v**3 - v**2 + v - 1. Let c(j) = 3*j**3 - 6*j**2 + 9*j - 6. What is i*d(q) - c(q)?\nAnswer: 3*q**3 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of 5*a**4\/12 + a**3\/6 - 352*a**2. Let g(l) = -l. Determine -b(i) - 3*g(i).\nAnswer: -7*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-2 - 5) - -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - 4 - (-1 - (-2 - 0)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (1 - (2 + (0 - 4)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/(-30))\/(1\/(-30)). Suppose 2*o = 14 + i. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 71*h + 643*h - 10 + 1358*h + 729*h. Let d be t(10). Round d to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4 = 4*n - 5*f, 2*f - 24 = 4*n. Let o(w) = -25*w + 193. What are the prime factors of o(n)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.1 - -4.1. Let w = 110\/81 - 64783\/405. Let o = 158 + w. What is the nearest to 2\/9 in a, 2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2398 - 45*m**2 - 11*m + 2378 - 114*m + 48*m**2 to the form d + h*m**2 + i*m and give i.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3 - 1) + 0 - 5) + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 1. Suppose -r*f + 4*f - 6 = 4*l, 5*l = -f - 18. Which is bigger: l or -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.4607 to 1 decimal place.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -j - 9102 + 43279, 3*i - 102507 = -3*j. Suppose 3*h - 60119 = -5*d + j, 5*d - 94293 = -2*h. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(2 + g - 2)*(-3*g - 40 + 40).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 527, 598, 777, 1118, 1675?\nAnswer: 2502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 891348995*s**4 + 646381282*s**2?\nAnswer: 21392375880*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 753013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 1)*((2*f**2 + 0*f + 0*f)*(f - f - 2*f**2) + 2*f**4 + 3*f**3 - 3*f**3 - 4*f**4 + 4*f**4 - 2*f**4).\nAnswer: -4*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/17382 in -0.02, -7, -5?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tzztzt. Give prob of picking 3 z and 1 t.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5328 is divided by 86?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d - 6. Let k(r) = 6*r + 4. Let v(y) = 5*y + 3. Let c(n) = 4*k(n) - 5*v(n). Let l(q) = -6*c(q) - j(q). Let w(i) = 4*i. Give l(w(a)).\nAnswer: 16*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**2 - 2772*g - 33583. Give i(-12).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 552.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 50 - 83. Let g = f - -35. Solve 8 = -2*c - g for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 195654, 391311, 586968, 782625, 978282, 1173939?\n\"Answer: 195657*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seventy-five quarters of a tonne?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -4*h**2 + 64 = 0.\nAnswer: -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 555 and 629.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1569\/(-8)*2*((-204)\/18 + 6). Solve u*s - 2089*s + 3 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.38 and 0.2?\nAnswer: 0.276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z**5 + 173*z**2 - 173*z**2 + (4*z**4 - 3*z**4 - 4*z**4)*(0*z - z - z).\nAnswer: 2*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 10*t**2 - 1374*t - 23443. What is l(-17)?\nAnswer: 2805","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33*a**2*s**3*u - 117*a**2*s*u**2 - 3*a*s**3*u**4 + a*s**3 + 3*a*s*u wrt u?\nAnswer: -234*a**2*s - 36*a*s**3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g**2 - 6*g - 3. Let j(o) = -3*o**2 + 13*o + 5. Let v(d) = 3*j(d) + 5*t(d). Let p be v(-9). Solve -5*u + 5*b - 10 = p, 2*u - 7 = -3*b + 9 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162562 is divided by 10837.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 36 = 106. Differentiate -q + 4060 - 4097 + x*q**2 + 7*q**2 wrt q.\nAnswer: 84*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, u: 2}. Give prob of sequence um.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228 is divided by 105?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 2*t**2 + 5*t - 4. Let y be d(3). Solve 2*g + 0 = -y for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ia when two letters picked without replacement from {g: 9, y: 1, i: 3, a: 1}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aajjhf. Give prob of picking 1 h, 1 a, and 2 j.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 44 = q, 3 + 9 = -3*q. Let x = c - -7. What are the prime factors of 36\/10 + 3\/x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.2374474 rounded to three dps?\nAnswer: 11.237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - m + 10. Let x(v) = v**2 - 2*v - 6. Let u be x(m). Suppose -2*b + u = -11. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 40*l**2 - 148*l - 1274. Give a(44).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.3, -2, -1\/4.\nAnswer: -2, -0.3, -1\/4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**3\/(b*b**6)*((b\/b**(-1))\/b)**16 assuming b is positive.\nAnswer: b**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i + 0 + 0)*(3 - i - 3) + 4*i**2 + 0*i**2 + i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1258898121 to the nearest integer?\nAnswer: 35481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - 9) + (-3 - -2 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**3 + 306*a**2 - 312*a - 616 = 0.\nAnswer: -154, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (900\/11025)\/(((-18)\/7)\/(-3))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7135.156 to the nearest 100.\nAnswer: 7100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 237, 1299, 4203, 9873, 19233?\n\"Answer: 154*s**3 - 3*s**2 - 7*s + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4429d3 (base 15) to base 10\nAnswer: 3248973","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 653055517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 198 + 720 + 4277 + 18*s - 21*s.\nAnswer: -3*s + 5195","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3965 - 1523. Suppose q = 5*u - 1970 - n, -3*u + q + 2648 = 0. Is 18 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.09, 17, -4.\nAnswer: -4, -0.09, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3\/8405 - -420211\/109265. Factor p*b**4 + 90\/13*b**3 + 0 + 48\/13*b**2 + 8\/13*b.\nAnswer: 2*b*(b + 1)*(5*b + 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -234314535 (base 6) in base 11?\nAnswer: -2543353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(405)*2)**2 - sqrt(405)) + 4 - (-2 + (sqrt(15)\/(-1*sqrt(3)) - (1 + sqrt(5) + 1)))**2.\nAnswer: -25*sqrt(5) + 6448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 8*f**2 - 8*f + 15. Let g be l(-9). Let o be (0 - -22) + (6 - g). Solve -25*u = -o*u + 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -n**3\/6 + 89*n + 4. Let v(j) = 30*j - 3. What is c(v(h))?\nAnswer: -30*h + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - t = t + 4, 4*j + 3*t = -6. Solve j*l = -2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 115089 to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 114, -1956 in decreasing order.\nAnswer: 114, 2, 0, -1956","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 181306*p**2 + 11*p - 5. Let i be z(10). Suppose -x - 29100005 = -3*h, 0 = 2*h - 5*x - i - 1269320. Round h to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dndjtyq. Give prob of sequence jndd.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.44 + 42974\nAnswer: 42973.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 30\/7 - 19\/(399\/6). What is the smallest common multiple of j\/26 + 27675\/351 and 1?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1885 a factor of 104883285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnffnnff. What is prob of sequence nnff?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.3550979 rounded to 1 decimal place?\nAnswer: -8.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2180755?\nAnswer: 5, 436151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 10 = 22 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/1629 and 58\/9687?\nAnswer: 5260041","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x**3 + 25*x**2 - 15*x + 1. What is the remainder when g(6) is divided by 32?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m. Let j(k) = 25 - k + 4*k - 30. Let y(q) = -2*g(q) - j(q). Let o be y(5). Which is the nearest to -5? (a) o (b) -0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m*(m*m**(-6))\/m*m)*m\/((m**1*m)\/m))**(-2\/87))**(-43))**(-9) assuming m is positive.\nAnswer: m**(-1290\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2590, -5178, -7766?\n\"Answer: -2588*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(972) - (sqrt(972) + (sqrt(972) - (-2 + -1*sqrt(972))))) + -3)**2.\nAnswer: 360*sqrt(3) + 3913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5747?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of 4*j**3\/3 - 3*j**2\/2 - 44. Calculate z(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4329604 and 601.\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 234.140122 - 234.439. Let p = 0.161206 - m. Let t = p + -0.46. What is t rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 50? (a) 2299 (b) 10 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 9006.4 to the nearest 100.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 10*z**3 - 5*z**2 + 4*z. Let f be s(1). Let y be 1\/(4*(-2)\/(-576)). What is the greatest common factor of y and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -3*h + 2*r - 81, 4*h + 128 = -4*r. Let q = 59 + h. Suppose 0 = -2*v - v + q. Solve -10 - v = 5*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (560\/60)\/(18*(-45)\/6075)\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus 766180382.44?\nAnswer: 766180382.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -193495 or -1354462\/7?\nAnswer: -1354462\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -7*a**2 + a. Let h = 154 - 152. Let i(j) = 66*j**h + 67*j**2 - 131*j**2. Determine i(g(y)).\nAnswer: 98*y**4 - 28*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 1, 0.4, 345\/11, 0.5, 5, 17, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -43, -45, -65, -115, -207, -353, -565?\n\"Answer: -2*m**3 + 3*m**2 + 3*m - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 5*c + 25 = 0, 4*c + 26 = 4*w + c for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**2\/2 - 303*s\/2 + 468 = 0. Calculate s.\nAnswer: -104, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -1\/120*w**6 + 0 - 1\/8*w**4 + 1\/12*w**5 + 0*w - 9*w**2 + 1\/3*w**3. What is j(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2192 and -2210 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -256*u + 55. Let x(l) = -3*l. Give x(c(t)).\nAnswer: 768*t - 165","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 124.667 (b) 0 (c) -2\/13 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 129383665?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 14 + (-15 - -4*455\/(-140))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 1. Let c(w) = 5*w**2 - 6*w + 6. Determine -c(o) + 5*g(o).\nAnswer: -5*o**2 + 6*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1853064 by -51474.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -142 + 144. Suppose z*o = 4 + 20. Suppose -k - 2*v = -4*k + 42, -k - 5*v = 3. Calculate the highest common divisor of o and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-3))\/((-3)\/27)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 3*m - 435, m - 43 = -2*x + 131. What is the remainder when x is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1778979 a multiple of 577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 6, 5, 2.7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/6 (b) 0 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 41*p - 12*p)*(-4 + 0 + 2).\nAnswer: -56*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -c7c5 (base 13) to base 3\nAnswer: -1102000020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 g when two letters picked without replacement from gfgffgzfzzjzgzgf?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 135485459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 4*q - 8*q + 2 - 2 - 2*q + (-1 + 3 - 3)*(3*q + 3*q - 5*q) + 1 - 2*q - 1)*(-4 + 2 + 1)*(16 - 16 + 5*q**2).\nAnswer: 35*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6085886?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a week in minutes?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 451847*d + 295. Let x be r(15). Round x to the nearest 100000.\nAnswer: 6800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - (3 - (4 - -1))) + (-18 - -10) + -13.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 202278 - 296874. Let y = -36596 - v. Round y to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53 (base 12) to base 13\nAnswer: -4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10738650?\nAnswer: 2, 3, 5, 13, 5507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**4\/5 - 1158*p**3\/5 - 111747*p**2\/5 = 0. What is p?\nAnswer: -193, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 8\/12*12. Let q be 42\/o*(-6)\/(-7). Let t = q + -1. Solve -8 - 7 = 3*l - t*w, -w = l + 1 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) -5279 (c) -14 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -43022.6164 - -33.\nAnswer: -42989.6164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 649 divide 6844354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 80 divided by 60\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 9*z - 50. Determine x(8).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4130, 4134, 4138, 4142, 4146, 4150?\n\"Answer: 4*f + 4126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = -6*j. Solve j*w - 15 = 3*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -889 + 2062. What are the prime factors of z?\nAnswer: 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2 - 231760*z - 6714087200.\nAnswer: -2*(z + 57940)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**3 + 2*t**2 - 33*t + 19. Let k(b) = b**2 + 19*b - 13. Let v be k(-20). Is m(v) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3239221?\nAnswer: 31, 104491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 985899974?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 68311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -16*d**3 - 2*d**2 - d. Let s(j) = j + 5. Let f be s(-6). Let p be a(f). Suppose 0 = 5*q - 10 - p. Solve q*n - 4*b = 25, -30 + 10 = 4*b for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 + 3 + -2 - (-7 - -25).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1117*f**2 + 0 - 370*f**2 + 1445*f**2 + 0.\nAnswer: 2192*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/10)\/v)\/v**(2\/7)*v\/((v\/((v\/(v\/v**(-1\/6))*v)\/v))\/v*v)*v\/(v*v**(-7)\/v))\/((v**1)**11\/(v**3*v*(v\/v**(-7))\/v*v)) assuming v is positive.\nAnswer: v**(782\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r + 3079 = 2*k + 3129, -k - 2*r = -5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3641, 3644, 3665, 3704, 3761, 3836?\n\"Answer: 9*p**2 - 24*p + 3656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3 = 7. Suppose -2*v + 32 = -4*g, -c*v + 71 = 4*g + 23. Suppose 4*o + v = 0, 3*r + 2*r - 5*o - 165 = 0. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24863, -24916, -24997, -25100, -25219, -25348, -25481?\nAnswer: -25612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.2 + -0.2. Let f = s - 1.1. Let a = -0.1 + -0.4. What is the nearest to 1 in a, -0.3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33 - 18. Let d be (-2)\/(-3) - 85\/v. Let r = d + 8. Solve -r*j - 2 = -5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**2 - 4*c + 6. Let m be h(3). Let k be 6 - (-16)\/m*6\/(-4). Solve -k*r - 7 = -5*l, r - 8 = -0*l - 2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -206195795, -412391589, -618587383?\n\"Answer: -206195794*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 479*g**2 + 4*g + 12. Let b(y) = 2394*y**2 + 21*y + 63. Calculate 4*b(u) - 21*d(u).\nAnswer: -483*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 0)*(80*w - 219*w + 112*w) - 3 - 3 + 7 + 7*w in the form k + f*w and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - d + 1. Let i be l(1). Suppose 5*c + i = 6. Solve h + 19 = 5*j, -c + 11 = 2*j + 2*h for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -27?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pcfqccfcq. What is prob of picking 2 c and 2 f?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 14, -4 in decreasing order.\nAnswer: 14, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9 - (-1275)\/120)*8. Which is the second smallest value? (a) -88 (b) r (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/11 (b) 3 (c) -7 (d) 562 (e) -5 (f) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.5 (b) 1 (c) -23 (d) -2\/8405 (e) 46 (f) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007601 rounded to 7 decimal places?\nAnswer: -0.0000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3\/2))**(-1\/19)\/(v**(-4)*v)**8 assuming v is positive.\nAnswer: v**(915\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-2)*(-8)\/3. What is the units digit of (-1*2)\/(z\/(-70))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3, 23, 49, 75?\n\"Answer: 26*f - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1376 and 724464.\nAnswer: 1448928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c + 20*c - 72 = 0. Suppose -4*v + l = -7 - 5, 4*l = v - c. What is the third derivative of 8*x**4 + 7*x**v - 5*x**3 + 5*x**3 wrt x?\nAnswer: 192*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/962 and -99\/120250.\nAnswer: 120250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -5*i - 1. Let a(t) = -14*t - 3. Let o(z) = -3*a(z) + 8*c(z). Suppose 4*f - 1 = 3. Let u be 7\/(-2) - f\/(-2). Give o(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -12*d - 27. Let f(h) = 9*h + 20. Let v(c) = -9*f(c) - 7*k(c). Let z(t) = 4*t + 10. What is -6*v(j) + 5*z(j)?\nAnswer: 2*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 53748548 to the power of 1\/2, to the nearest integer?\nAnswer: 7331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 463, 923, 1381, 1837, 2291, 2743?\n\"Answer: -w**2 + 463*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1301.17895 - 1301. What is n rounded to 3 dps?\nAnswer: 0.179","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(-1 - 0)*1. Solve -5*d - 3*z = 35, 4*d - i*z = d - 2 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 14*n**2 + 50*n + 131. Let f(d) = 5*d**2 + 17*d + 45. Let p(m) = 17*f(m) - 6*g(m). Give p(13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*a + 4*g, 4*g - 3 = 5*a - 4*a. Solve a*w + 10 = 2*i, 25 = 2*w - 5*w + 5*i for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 13, 94, -3 in descending order.\nAnswer: 94, 13, 0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-45)*(592\/64 - 10).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -77 or -48383?\nAnswer: -48383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 3*t - 3 = 0. What is the least common multiple of t and 4 + -2 + (2 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49720016 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (2*sqrt(52)\/sqrt(4) - sqrt(13)))**2.\nAnswer: 2*sqrt(13) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/20*(-3434586)\/24. Let h(j) = -2*j**3 + 16*j**2 + 9*j + 15. Let s be h(-17). Let t = s - g. Calculate the common denominator of t and -83\/4.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-60) + (836\/(-60) - -2) + -7?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16)\/(-2)*-639679*2\/4. Let j = 1508005 + g. Let d = -550711 - j. Round d to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1271316, 2543077, 3814838, 5086599?\n\"Answer: 1271761*y - 445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 15280.0722ns?\nAnswer: 0.0000000001768526875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 433415273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.2, -3\/7, -0.08?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 11*v + 234. Let b be n(10). Put b, -4, 3 in increasing order.\nAnswer: -4, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -257, 5, -470054.\nAnswer: -470054, -257, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*t + 5. Let j(i) = -3*i - 1. Let w(s) = -3*s - 1. Give t*j(z) + 3*w(z).\nAnswer: 3*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36610449?\nAnswer: 3, 73, 349, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -113 - 40. Let w = -51 - h. Factor w + 2*q**2 + 28*q + 77 - 81.\nAnswer: 2*(q + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 324 is divided by 100?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237748693?\nAnswer: 7, 13, 200971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2*r**2\/3 + 906*r - 111920\/3 = 0.\nAnswer: -1399, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 918*p + 2. Let z be u(0). Let k be 4\/(-10) - 3\/(-15). What is the fourth biggest value in 4, -1\/3, z, k?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l + 2*l + 4*l**2 + (-l + l - l)*(-3*l + 2*l + 2*l) + 2*l - 2*l + l**2 - 3*l + 100*l**2 - 2 - 162*l**2 + 96*l**2.\nAnswer: 38*l**2 - 3*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - 7*o + 5. Calculate m(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 32, 42, 48?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 108 + -25 + 10 + (-43 - -22).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7342610 - 10060.\nAnswer: -7352670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -539*s = -294348 - 34442. Calculate the remainder when s is divided by 158.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 220, -5, 4, 1, 11 in ascending order.\nAnswer: -6, -5, 1, 4, 11, 220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((2*sqrt(280))\/sqrt(8))\/(sqrt(5) + (sqrt(100)\/sqrt(2))\/sqrt(10)) - (sqrt(70)*2*5)\/(-1*sqrt(360) + sqrt(10)).\nAnswer: 5 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 3*a - 8. Suppose -g + 0*g = -10. Let v = g + a. Solve -r + v*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzszzzzzsxss. What is prob of picking 1 z and 1 x?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 783*f**2 - 92*f**2 - 139*f**2 - 131*f**2 - 139*f**2 - 142*f**2 - 141*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 12*m**2 + 7*m + 9. Is c(-11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 10 (c) 7\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 8*p**2 + 7*p + 2. What is the remainder when l(-5) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o - 1. Let w(v) = -3*v - 1. Let u = 135 - 117. Suppose 0 = -3*q + u. Let b be -5*(0 + 1 + 0). What is b*h(k) + q*w(k)?\nAnswer: -3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w + 4*i - 1, 0 = 2*w + 2*i + 15 - 3 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 45*u - 247 - 248 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-24)\/(-27)*(-3)\/2. Let j = 206 - 490. Let d = j - -285. Which is the nearest to d? (a) r (b) 1.2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 298, 929, 1852, 3067, 4574, 6373?\n\"Answer: 146*z**2 + 193*z - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -607 by -2278.\nAnswer: 607\/2278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(72\/(-19467)))\/(6\/8). Let v = p - 812. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of d**5\/60 + d**4\/24 - 5*d**3\/6 + d**2. Let w = 386 + -341. Suppose -46*g = -w*g + 5. Give c(g).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507656887 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 232 - 257. Let b(w) be the second derivative of w**3\/3 + 3*w**2 - 5*w. What is b(f)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 242816748 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bvvvbvvvv. Give prob of sequence vvb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u**2 - 6*u + 1918. Let o(q) = -2*q**2 + 5*q - 1917. What is 4*o(p) + 3*w(p)?\nAnswer: p**2 + 2*p - 1914","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003646086703 to seven dps.\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 5 = k, 0 = -5*i + 3*i - 3*k + 15. Let x(l) = i - 2 + 0 + 4*l - 5*l. Let c(v) = v. Suppose -a = r - 7, 5*a - 3*r = -r. Determine a*c(g) + x(g).\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + 170\/(-45) + (-50)\/(-18). Let t(v) = 4*v + 3 - 3*v - u*v + 4*v. Determine t(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 9, -2*s - 3*s = -3*h + 75. Let j = h - 30. Suppose -o + 5*o - 96 = j. Calculate the highest common divisor of o and 216.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3943 + -3934. Solve -2*z + 11*a + 8 = 13*a, 0 = -2*z - a + m for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a - 2*a + 3*b + 27, 17*a - 19*a + 5 = -b for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2933100 divided by -146655?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 + 2000021?\nAnswer: 2000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188716 is divided by 8759.\nAnswer: 4777","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 542.\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*i + 96 = 1 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 7:00 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-9))\/(-4)*33\/22.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 474800636.\nAnswer: 2, 251, 472909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 18*i**2 - 42*i + 8. Calculate f(-20).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 24*f**2 + 17*f - 2. Let s(o) = o**3 + 24*o**2 + 16*o - 1. Let q(j) = -6*p(j) + 5*s(j). Let w be q(-23). Sort w, 0.1, -5.\nAnswer: w, -5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-80)*(2\/(-26))\/((-36)\/(-180)).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-7)*(-147)\/672.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*f = 4*q - 29*f - 366, 5*q = -5*f + 435. What is the highest common divisor of 155 and q?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b (base 15) in base 6?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -60.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 PM and 6:55 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.14808 - 0.11808. Which is the fourth biggest value? (a) 6.8 (b) z (c) -2\/13 (d) 1 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2900, 2897, 2886, 2861, 2816, 2745, 2642?\n\"Answer: -f**3 + 2*f**2 - 2*f + 2901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (163 + 1438*a - 1441*a - 5)*(-3*a + 3*a + 3*a).\nAnswer: -9*a**2 + 474*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - o - 1. Let y(l) = -1 - 2*l - 3*l + 4*l. Let x(f) = 3*f + 3. Let k(w) = 2*x(w) + 4*y(w). What is k(a) + 2*n(a)?\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**4 + 4*l**4 - 4*l**4 - 3*l**4 + l**4 - 6*l**4 + (-3*l**2 - 2*l**2 + 4*l**2)*(-l**2 + 0 + 0) - l**2 + l**2 + l**4 + l**4 - 4*l**4 + 2*l**4.\nAnswer: -5*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 398 + -368.95. Let r = c + -29.0498211. Round r to 5 decimal places.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.061935ml to litres.\nAnswer: 0.003061935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21055 = -5*n - 2325. Let o = n + -2405. Is 0\/(-5) + 5 + o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 12, q: 1}. Give prob of sequence ttqt.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -30*x + 88. Let m(i) = -20*i + 55. Let n(d) = 5*g(d) - 8*m(d). Let q(r) = 79*r. Calculate q(n(u)).\nAnswer: 790*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 17, 33, 49?\n\"Answer: 16*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (93\/310)\/(4*27\/180)*12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1654*v**3 + 3205 - 846559*v - 6023*v**3 + 846559*v wrt v.\nAnswer: -13107*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -23 in descending order.\nAnswer: 4, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/14*(136\/64 + -3). Let n be (2\/(-2))\/((-1)\/(-3)). Which is the third smallest value? (a) q (b) -12 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = 2*k - 44, -3*a = 2*k - 86011 + 85979 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 60 - 120. Let l = -34 - w. Let p = -30.3 + l. What is p rounded to 0 dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + t = 16, 243*t + 33 = 3*u + 241*t for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 180*f - 93. Let v be x(1). Is 87 not equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 34? (a) -1 (b) 1\/7 (c) -139998\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -61, -106, -157, -214, -277, -346, -421?\n\"Answer: -3*l**2 - 36*l - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 9 = 34. Let k = 1 - -4. Suppose u = -0*m + w*m + 46, k*u - 230 = m. Does 17 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, q: 5, n: 9}. Give prob of sequence nssq.\nAnswer: 3\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 43519836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 82a (base 14) in base 3?\nAnswer: 2012111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*-2)\/((16*(-224)\/6144)\/(28\/(-24)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(1900) - ((-4 + sqrt(1900) - sqrt(1900)) + sqrt(1900))**2 - sqrt(1900)) + sqrt(1900) - (-4 + sqrt(1900)*2).\nAnswer: -1909 + 70*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from {h: 1, x: 3, r: 2, u: 5, j: 5}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -49.6 + 6.6. Let h = 48 + y. Let n(t) = -4*t**2 + t. Let q be n(1). Which is the biggest value? (a) q (b) 1\/2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (359*q**2 + 299*q**2 + 93*q**2)*(-4 + 5 + 1).\nAnswer: 1502*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*j + 3*c - 29, -5*j + 2*c + 21 = 0. Let x = j + 2. Solve x*z = 4*z - 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i. Let q be s(-2). Let n = q + 4. What is the derivative of 4 - 2 + n*p**3 + 3*p**3 wrt p?\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 5*h**2 - 4*h. Suppose 0*o + 2*o = -2*z + 16, 0 = z - 3*o + 8. Let b be w(z). Suppose b = m - 1 - 5. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4b - 583b?\nAnswer: -57b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t**2 - 3*t**2 + 2*t**2 - 11*t**2. Let o(r) = 3*r**2. Calculate o(g(w)).\nAnswer: 675*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-14 + (19 - 11)) - (-84 + 78)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58.32*0.008.\nAnswer: 0.46656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of 7*t**3\/6 + 2*t**2 - 3*t. Let f(q) be the second derivative of -q**3 - 3*q**2\/2 - q. Calculate -6*f(y) - 5*x(y).\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-115)\/(-15) + -8)\/((-3 - -1) + 225\/27)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (98 - -6)\/(-8)*(-14 + 0)?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 14*c**2 + 38*c - 79. What is g(11)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7176 + 2494 + 2242 + 4*d**3 + 2440.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -636.5.\nAnswer: -127.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7 (b) -2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 415264?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 q when three letters picked without replacement from {p: 5, r: 2, q: 3, c: 10}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 99, 178, 289, 432?\nAnswer: 607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**2 + 2*g**2 - 5*g**2 - 802*g**2 + 486*g**2 + 653*g**2 + (-g + 1 - 1)*(-4*g + g + g) + 0*g**2 + 0*g**2 + g**2.\nAnswer: 339*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1576, 1569, 1564, 1561, 1560?\n\"Answer: m**2 - 10*m + 1585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -502 (base 6) in base 2?\nAnswer: -10110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 72, -5, 1, -1, -254, -3 in descending order.\nAnswer: 72, 1, -1, -3, -5, -254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9\/5 - -49\/30. Which is the second smallest value? (a) v (b) -1\/4 (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a year in months?\nAnswer: 57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 - -42. Let h = g + -10. Solve -4*k - 22 = -0*s - 3*s, 4*k + h*s = -10 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-8) - (-34)\/8. Suppose 0 = z*k + 4, o + 4*k - 3 = 5*k. Let i = 1.271 - 1.071. Put o, i, -1, 5 in decreasing order.\nAnswer: 5, o, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/17))**25 assuming g is positive.\nAnswer: g**(-25\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 5 - 5. Let a be (10\/2)\/(u\/(-6)). Let n be 2\/a*3*-1. What is the second biggest value in n, -0.3, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18336805093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -12604 and -12604 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.6 - 0.8. Which is bigger: f or 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 - -92. Suppose -p - n = -2*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 47399480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 857 = 71. Let m = q - 260. Sort 3, -5, m, 15 in descending order.\nAnswer: 15, 3, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161718*h - 161677*h - 1722 = 0 for h.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/108 and 31\/2?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 10550 to the nearest one hundred.\nAnswer: 10600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yzvsf. Give prob of picking 1 f, 1 v, and 1 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*l - 13*l - 54*l - 7*l + 2*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 - -44. Solve -8 = u - v for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -570493 - -3980936\/7. Is r greater than -1788?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*f - 1662 = 1217*f + 15054 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16562*r**2\/15 + 728*r\/15 + 8\/15.\nAnswer: 2*(91*r + 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 109 + -13. Let n be 1*0*(27\/(-12) - -2). Suppose n = -5*w - 25, -2*l + w + 39 + 32 = 0. Calculate the remainder when f is divided by l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1605 + 13272. Suppose a + p = -3*a - f, 2*a = -5*p - 5847. Let x = a + 7316. What is x rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 - 3*r**2 - 4 + 0)*(11 - 24 + 2)*(-2 + 1 + 0).\nAnswer: -22*r**2 - 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14053 - -14031. Sort 2\/7, -4, h in increasing order.\nAnswer: h, -4, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**4 - 1061690*i**3 - 10617400*i**2.\nAnswer: 5*i**2*(i - 212348)*(i + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 840970489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 236*h**3 + h**2 - h. Let y be l(1). Suppose 3*z = 7*z - y. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -953995 rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a millennium in months?\nAnswer: 51000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.47 * 45643.6.\nAnswer: 67096.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of d**8\/2240 + d**7\/1260 - d**4\/6 + 3*d. Let t(c) be the third derivative of p(c). What is the third derivative of t(r) wrt r?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/9)*i)\/i**(-2\/13)*i**(-3\/2)*i*i**(-6) assuming i is positive.\nAnswer: i**(-1199\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39469865.\nAnswer: 5, 1973, 4001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u - 10*u + 12*u)*(4 - 2 - 1)*(10 + 3 - 11) to the form c*u + h and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, -50, -0.07, -0.37, -10, -2\/5?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g + 34. Suppose 2*y + x = 44, -y - 3*x + 31 = 2*x. What is the remainder when 1*-37*3\/(-3) is divided by o(y)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9435 and 1887?\nAnswer: 9435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 2 + 10. Suppose -g + 2*g = c - 3, h*c - 5*g = 9. Find the third derivative of 6 + 5*i**c + i**4 - 5 - 1 wrt i.\nAnswer: 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(4\/3)*j*(j\/(j\/(j**0\/j)))\/j)**(-10) assuming j is positive.\nAnswer: j**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2970.5 - 2971. Let l = 0 + 7. Sort -1\/7, l, v.\nAnswer: v, -1\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of c**3\/3 - c**2\/2 - 3*c + 1. Let n = 13 + -7. Calculate the remainder when h(-4) is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 8*a + 13. Let r be s(5). Let y(t) = -296*t - 1. Let d be y(r). Let o be 6\/(-12) - d\/(-6). Round o to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2 - 19204690*w + 76818776.\nAnswer: -(w - 4)*(w + 19204694)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*y + 214 = 157 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, -5\/3, 37\/4, 2\/9 in increasing order.\nAnswer: -5\/3, -0.7, 2\/9, 37\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.059 - 0.026. Let o = r - 0.087. Let x = -0.046 + o. Which is smaller: x or 33?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1001100 (base 2) to base 12\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -482, -2419, -5640, -10133, -15886?\n\"Answer: 2*f**3 - 654*f**2 + 11*f + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 296959512?\nAnswer: 2, 3, 19, 277, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.54340975 rounded to 2 decimal places?\nAnswer: 0.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3155d39 + -1?\nAnswer: 3155d38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3330 - -38. Suppose z = -4*a - 1976. Round a to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194668 a multiple of 311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.47 + -1.44. Suppose -10*m - 318 = 96*m. Sort m, t, 4, -8.\nAnswer: -8, m, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.796644l to millilitres.\nAnswer: 6796.644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 - 14676*x**2 + 14676*x**2 + 4*x**3 + (0*x**2 + x**2 + 5*x**2)*(-4*x + x + 5*x) in the form r*x**3 + h*x + b*x**2 + q and give r.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 545 and 143.\nAnswer: 77935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/70)\/((-9)\/(-45)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134012201 (base 5) in base 16?\nAnswer: a812a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z**2 + z - 4. Let b(p) = -p**2 - 5*p - 1. Let r(m) = b(m) + n(m). Give r(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 604 and 63722.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 750*q - 183*q = 1219*q + 1697*q + 89262 for q.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of 6*s - 3*s**2 - 5\/6*s**3 + 0. Find the first derivative of x(o) wrt o.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.17, 0.3, -91622?\nAnswer: -91622","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 293 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11 (b) -1.1 (c) 3\/8 (d) -7\/4 (e) 6215 (f) 1\/8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 64179920?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2235 = -7*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -119.9 + 8.4. Let r = y - -111. Which is the smallest value? (a) -6 (b) r (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172440563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -66 (b) -6 (c) 1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**2 - 334 - 21 - 1907 as u*f + r + a*f**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -502, -2429, -6338, -12799, -22382, -35657, -53194, -75563?\nAnswer: -103334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*(1 - -9)\/50*(7 - 3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4059 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(5\/3)\/v*v\/v**15 assuming v is positive.\nAnswer: v**(-40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -25*l**3 - 179*l + 16. Let i(s) = -3*s**3 + s + 4. Calculate -4*i(x) + n(x).\nAnswer: -13*x**3 - 183*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (15 - 6 + 7)*(s + 0*s + 0*s) - 6*s + 3*s + 4*s + (-2 + 2 + 2*s)*(1 + 0 + 1) - 3*s + 0*s + 5*s + 0 + 0 + 2*s as q*s + a and give q.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4613\/12 + -1605\/4. Find the common denominator of q and 41\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of 0*j**3 - 1\/4*j**4 + 5\/2*j**2 - 6 + 0*j. Find the second derivative of v(o) wrt o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1701.01 + 4.99. Let t = -1704.0048 + o. Let a = 2 - t. Round a to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 586 a factor of 2177671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 126601605 a multiple of 2405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 597520 and 126?\nAnswer: 5377680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/19, 0.09, -7.\nAnswer: -7, 0.09, 8\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 486470459.\nAnswer: 2699, 180241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -3*k + 4*d + 36, -6 = 3*d. Suppose -8 = 3*w - k*w. Find the second derivative of 0*p**2 - 10*p**2 - 4*p + w*p**2 + 5*p**2 wrt p.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6335 (base 7) in base 13?\nAnswer: -1028","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 2*y - y**2 - 2*y**2)*(1 + 1 + 0)*(0*y - 2*y + 0*y)*(12*y - 21*y**2 - 12*y).\nAnswer: -252*y**5 + 84*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 482 (base 12) to base 7\nAnswer: 1652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 8 - (-8 + 2 + 3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0, 1\/4, 0.3, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/k**(3\/5))*k*k**(-6))\/(k**2)**44 assuming k is positive.\nAnswer: k**(-462\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from nntuuunutuqrtqq.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/280 and -203\/327360.\nAnswer: 2291520","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Is 0.6 greater than or equal to -1\/47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -138 + 8. Factor 18*z + 57*z**2 + 3*z**5 + m*z**3 + 27*z**4 + 85*z**3 - 31*z**3 - 17*z**3.\nAnswer: 3*z*(z + 1)**3*(z + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18719?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 6*k + 2. Let f(o) = 2*o + 14. Let u be f(-4). Let w be l(u). Which is the closest to 2\/11? (a) 0.1 (b) 7 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-16))\/(4 - 3). Which is the closest to 0? (a) 8 (b) n (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -i**5\/120 + i**4\/2 - 23*i**3\/12 + 91*i**2. Let k(u) = 0. Calculate u.\nAnswer: 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 4*z + 3. Let b = -37 + 50. Suppose b*s = 19*s - 24. Calculate the lowest common multiple of w(-3) and s.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 11651*l**2 + 2237*l**2 - 11848*l**2 + 1.\nAnswer: -21262*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -5*l**3 - 3*l**2 - 6*l + 7. Is o(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 111?\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 26 + 9 = 4*j, 3*f = -2*j + 19. Calculate the remainder when 9 is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9713 and 37969?\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(6*2*(sqrt(77) + -2*sqrt(77)))\/(-2*(sqrt(704) - (sqrt(704) - (sqrt(704) - (sqrt(704) + -2*sqrt(704))))))*-5.\nAnswer: -75*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, x: 2}. Give prob of sequence xss.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-3 - -42) - (47 + 19 + -79).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 - -39. Let o = 26 - h. Solve 14 = -3*j + o*d, 9 = 2*j + 3*d - 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1559971, 1559972, 1559973, 1559974?\nAnswer: 1559975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -7*p**2. Let s(v) = -v. Let h(y) = -4*y. Suppose 3*n - n = 2. Let a(l) = n*h(l) - 3*s(l). What is a(t(i))?\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 82176 + -1068927\/13. Let u = -49 - i. Suppose 4*s = -2*n + 10, -5*s + 5 + 2 = -3*n. Which is the closest to n? (a) u (b) 0 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fuuff. What is prob of picking 2 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 926461 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-12))\/((-875)\/(-500))*(186\/(-4))\/1.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 682865 to the power of 1\/3, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-14)*t**(-2\/45)\/t*(t**(-6\/7)\/t)\/t*t**(7\/2) assuming t is positive.\nAnswer: t**(-9073\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*l**2 + 3*l**2 + 3*l**2 + (-14*l + 7*l - 8*l)*(2*l - 2*l + 2*l) - 4*l**2 - l**2 + 3*l**2.\nAnswer: -31*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 7, -5, 5.\nAnswer: -5, 3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -4*d + 109289, -d + 21997 = v + 140. Is v a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/4*(-28)\/6. Suppose 8*u - 25951 = 7*u. Suppose -u = f*a + 2749. Round a to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 176 and 5269.\nAnswer: 84304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 11*q = -29*q - 140 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 173 and 20787161?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 5:26 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 58389091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of 94*n**3 - 115*n**2\/2 - 56*n. Is x(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-3)\/(-9))\/(4\/3)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*x + x + 2*b, -5*x - 18 = 2*b. What is the biggest value in 2, x, 0.08, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 240 - 238. Let m(v) = -h*v - 3*v**2 - v**3 - 3 + 4 + 10*v**2 - 6*v**2 - 9*v**2. Give m(-7).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 22 + -25 - 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/182 and 107\/468.\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d. Let t(k) be the second derivative of -173*k**4\/12 + 250*k. Determine i(t(s)).\nAnswer: -346*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wzwwwzwzzwzzzwzzwww. What is prob of picking 4 z?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 355838 and 182.\nAnswer: 4625894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66147.\nAnswer: 3, 17, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -267 - -270. Sort 1, h, -5, 44.\nAnswer: -5, 1, h, 44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 + 32.5. Let i = -6 + q. Let r = 6.3 + -6. Which is the third biggest value? (a) r (b) -12 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -232*p**4 - 321*p**4 + 31*p + 54*p**4 - 16 wrt p?\nAnswer: -5988*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + m + 1. Let g be f(-2). Let r = 9 + g. Put 5, -1, r in descending order.\nAnswer: 5, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y - 4 = -121. Solve 0 = -3*j - y + 7 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 14 = 5*g, -44*g + p = -41*g - 9 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 138 and 18.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 2\/3*j**3 + 0*j + 0 + 2\/3*j**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3522, -7226, -10930, -14634?\n\"Answer: -3704*v + 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/44550 and 59\/474?\nAnswer: 3519450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -2*o - 4*m + 10, -m = -1. Which is the third smallest value? (a) 0.4 (b) 6 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.935 + 7.935. Let w = 8 - 6. Which is the third smallest value? (a) 0.1 (b) w (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 9 = -4*u. Suppose -u*l - 16 = -x, 3*l - 4*l + 26 = x. Let f = 42 - x. Calculate the highest common divisor of f and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -9. Let u = m - -17. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 9*o**2 + 9)*(-o**2 + o**2 + 2*o**2) + (767*o**2 - 8023*o + 8023*o)*(-2*o**2 + 2*o**2 + o**2).\nAnswer: 749*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -9*m - 7 + 14*m + 12. What is the tens digit of k(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 26*k + 7. Let q(n) = -8*n - 2. Calculate -21*q(c) - 6*t(c).\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -7*x**2 + 18*x - 55. Let q be z(4). Let g be (-1724)\/(-18) + (-2)\/3. Let j = q + g. Are 1 and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 0.08, 4\/45?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10086826 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 1 - 7. Which is the nearest to -2\/3? (a) -0.2 (b) 0 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28958891?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 6*r + 349 = 3*m - 2*r + 119, m - 55 = -r for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = -0*i + 5*i - 5*a, 15 = -3*a. Suppose 8 = -2*n + 4*d, 0*n = n - 3*d + i. Suppose 3*z = f + 17, 0 = n*z - 5*f - 12 - 7. Does 3 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j + 3. Let h(w) = 2*w + 4. Let u(v) = 2*h(v) - 3*o(v). Is u(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241 is divided by 102?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1908218 and 17342?\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 15*m**2 - 15*m + 26. Let s be v(-13). Suppose -4*c + s = -2*t, 3*c + 4*t - 2394 = -327. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -8*p + p**2 - 370 + 369 + 0*p**2 + p. Let s(y) = -y**3 + y**2 + y + 2. Let x be s(4). Let h be ((-1)\/(-2))\/((-3)\/x). What is n(h)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = h - 5*u, 3*h = -536*u + 541*u - 174 + 189 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - -6 - (-15 + 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - 11*k - 29. What is a(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((-3 + 1 + sqrt(720))*1 - (-5 + sqrt(720) + 1)*-3) + 4 + 2)**2.\nAnswer: -768*sqrt(5) + 11584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5791826 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c - 12 + 9 - 36.\nAnswer: -3*c - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fkff when four letters picked without replacement from kfufkffufkufufkf?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -66, 5, -42, 3, -5 in descending order.\nAnswer: 5, 3, -5, -42, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 15 = 25. Suppose 5 = r - 5*h, -h - 3*h + 28 = -4*r. Let z be t\/20 - 34\/r. Which is smaller: 1\/3 or z?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(13\/3))**(-5\/11)\/(x*(x*x**0\/x)\/x*x*x\/(x**21\/x)))**(-4) assuming x is positive.\nAnswer: x**(-2116\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of -461*i**4\/24 - 327*i**2. Let b(o) = -2*o. Calculate a(b(h)).\nAnswer: 922*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2+-273530\nAnswer: -273532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 15778*h - 15779*h = -25, 0 = -3*f - 2*h + 78 for f.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -235 = -3*q + 8*q. Suppose 2*i = g - 69, -27*g + 31*g - 282 = 2*i. Let j = q + g. Solve -5*o - 9 = -j for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-5*-5*sqrt(441)\/sqrt(7))\/(1*sqrt(324)*-3))**2.\nAnswer: 4375\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3663*o + 65 = -n + 3657*o, 4*n = 2*o for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*d**2 + 59*d**2 - 69*d**2 + 22*d**2.\nAnswer: 52*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 g when two letters picked without replacement from pgpccdm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -70.55 - -13.65. Let w = -73.62 - b. Round w to the nearest integer.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 8 = -d. Suppose -d*p = -2*r - 2, -p - 5 + 22 = 5*r. What is the highest common divisor of r and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**2\/2 - 90099393*s - 2705966872989483\/2 = 0.\nAnswer: -30033131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 677 = -108. List the prime factors of i.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1412*r + 79884 - 13520 for r.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 + -6 - (-20 - -6)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 0 - (-11 - -2) - (12 + -21)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 14244*h + 199455. Determine q(-14).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, -7, -22?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-68070*p**2 - 3 + 2*p + 6*p**3 + 68070*p**2)*(-3*p + p - 7*p).\nAnswer: -54*p**4 - 18*p**2 + 27*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62993228 is divided by 512140.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*x - 20*x + 138 = -27*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -9*l**5\/5 - 3*l**2\/2 - 18. Find the second derivative of d(y) wrt y.\nAnswer: -108*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 346 and 41440939?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 342 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*t - 3)*(2*t**2 + t - t) - 1 + 2*t**3 + 1 + 2*t**3 - 2*t**3 - t**3 - 4*t**3 + 2*t**3 - 31*t**3 + t**3.\nAnswer: -35*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - ((-6 - -3) + -4)) + -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 57, -2, -3, 7, -20 in descending order.\nAnswer: 57, 7, -2, -3, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(3\/(3\/2)). Suppose -5*n + 10 = v, 5*q - 5*n - 8 = 32. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 5*q**2 - q - 1. Let s be d(-5). Suppose 2*g = 10, -s*a = -0*a + 2*g + 14. Let x = 19 - a. Solve -2*u - 17 = 3*h - 6*h, x = 3*h - 4*u for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - 4 - (0 - 1). Calculate the remainder when (2 + s + -1)*-43 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-217)\/31 + 64003\/(-8). Suppose 5*j - 33199 = 6781. Let b = j + n. Find the common denominator of -119\/10 and b.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1174.237 + 0.5\nAnswer: -1173.737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 2:15 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -24, 1, -5, 149, -8 in decreasing order.\nAnswer: 149, 1, -1, -5, -8, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -0.2 (c) -642368 (d) -3\/5 (e) -0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9, 22, 77, 162, 283, 446, 657, 922?\n\"Answer: m**3 + 6*m**2 + 6*m - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -24 and -1328910.\nAnswer: 31893840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -34*g. Suppose -3*w + 2*d + 0*d + 29 = 0, 22 = 2*w - 4*d. Let z(u) = 6*u - 2*u**2 + 4*u**2 - w*u + 3*u. Determine z(i(k)).\nAnswer: 2312*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d - 1. Suppose 8*o - 15 = 3*o. Let z(p) = -2*p + 2. Let k = -1685 + 1687. Determine k*z(i) + o*h(i).\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 7400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 - (-78 + 108 + -49)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -8, -5\/3, 2\/41?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 27*m**4 - 11*m**2 - 4. Let a(p) = 9*p**4 - 4*p**2 - 1. Let o = -41 + 30. Let c(d) = o*a(d) + 4*b(d). What is the first derivative of c(s) wrt s?\nAnswer: 36*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 52*x**3 + 5*x**2 - 19*x + 13. Does 41 divide g(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2*(20\/8 + -2) + (-2 - -3947)?\nAnswer: 2, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -144542 or -144480?\nAnswer: -144542","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 9:26 AM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2200, -2242, -2284, -2326, -2368, -2410?\nAnswer: -2452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 365611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -183 - -210. Let q = 35 + -20. What is the remainder when a is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 1. Let x(i) = 3*i + g - 6*i - i. Determine x(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16468484 to the power of 1\/3, to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 w when four letters picked without replacement from aaawww.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11184 - 11182. Put -3, c, 1, 1\/7, 23 in descending order.\nAnswer: 23, c, 1, 1\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 59.27437ng?\nAnswer: 0.00005927437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/20*4\/(-2).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - w**2 - 5*w - 3. Let d be q(-1). Differentiate -479 + m**2 - 116*m**d + 527 wrt m.\nAnswer: -230*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-3 + (-8)\/(-2)). Let y be 16\/(-4 + -4) + -36. What are the prime factors of i + 1624\/18 + y\/171?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 1 - (-30 + (24 - (31 + -9)))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 346\/(-110) - 9\/(-15). Is -3 at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 335 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -218975, -218937, -218899, -218861?\nAnswer: -218823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1344)\/108)\/(-4)*(1296\/9)\/16.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16395 divided by -47.\nAnswer: -16395\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/568 and 47\/19080.\nAnswer: 1354680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 <= 35952.08?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -b3?\nAnswer: -b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -100964 divided by -81?\nAnswer: 100964\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10111110011100000 (base 2) in base 6?\nAnswer: 2031224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(6\/5)*-2. Suppose 262 = 24*d - 98. Calculate the greatest common factor of d and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 896209168.\nAnswer: 2, 23, 2435351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 + 21. Put 0.4, 2, n in increasing order.\nAnswer: n, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 881427?\nAnswer: 3, 101, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 196 and 24?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53 divided by -16.\nAnswer: -53\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31.9 + 32. Let x = -210 + 210.01. Sort x, u, -1.\nAnswer: -1, x, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (1 - (-9 - 1) - -2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 2*k. Let y be (8 - 3)*(k + 1). Solve -y*v = -0*v - 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.201 + -39.801. Let b = 40 + x. What is the second smallest value in -5, b, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 28*h**2 + 129*h + 28. Let k be r(-32). Let b be 8\/2*k\/(-152). Sort 0.5, b, 2, 5 in increasing order.\nAnswer: b, 0.5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -13074, -13040, -12940, -12738, -12398?\n\"Answer: 6*m**3 - 3*m**2 + m - 13078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.92 - -0.08. Let f = x - 1.06. Let c = f - -0.08. Round c to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24960727 divided by -98659.\nAnswer: -253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (252 - 586 + 158)*(6 + 1 - 3)*(5*j - 4*j + 5*j) + (1 - 1 + 2)*(-5*j + j + 2*j) - j + 2*j - 2*j + 0 - 2*j + 0 in the form o*j + q and give o.\nAnswer: -4231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 11, h: 7, z: 1}. What is prob of sequence qh?\nAnswer: 77\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/15, -2, -0.405554?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 + 12. Let q(v) = -v**2 - 11*v + 3. Let s be q(y). Suppose -8 = -c - s*c. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11546 less than 11545?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 15.96. Sort h, 0, -2\/3 in increasing order.\nAnswer: -2\/3, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -17.705.\nAnswer: 70.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -18 - (10 + -14 + -4)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -3*i + 20. Suppose -3*u - 1 + i = 0. Suppose 4*o - 5*w = 5*o - 35, -3*o = -u*w - 33. Calculate the highest common divisor of 6 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/44371 - 22762331\/354968. Let l = f - -64. Let n = 4 - 4.6. What is the closest to n in 0.5, 1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2. Let n(y) = -16*y**2 - 33*y + 7. Let c(i) = -47*i**2 - 110*i + 23. Let l(w) = -3*c(w) + 10*n(w). Determine l(z(d)).\nAnswer: -19*d**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4081, 8162, 12243, 16324?\n\"Answer: 4081*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/5, 0.1, -0.041, -1, -132?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a microgram in nanograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 119 - 118.6. Let p = 4 + -5. Which is the nearest to p? (a) 0.3 (b) 2\/11 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*p**2 + 3253*p - 5265.\nAnswer: -(p - 405)*(8*p - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 - -51. Suppose 4*x = 12, -5*l - 27 - f = -4*x. Let p = 0.2 - 0.3. Which is the nearest to p? (a) 2 (b) l (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-7)*y*y**7)**(-37) assuming y is positive.\nAnswer: y**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 100\/63?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2 - 12*m + 1. Calculate f(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007977 to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -8*p - 139. Let a(s) = -48*s - 834. What is -2*a(d) + 13*w(d)?\nAnswer: -8*d - 139","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 5 (b) 6 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10797 and 183?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3, -5, 3, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1008158, -2016578, -3024998, -4033418, -5041838?\nAnswer: -6050258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n + 4*n - 4*n + (5*n - 3*n - 4*n)*(1 - 4 + 4) + n - 4*n + 4*n - 3*n + 0 + 0 - 10 + 8*n - 1 + 12)*(0 + 0 + 2*n) as c + h*n + s*n**2 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4776113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23655 by -83.\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41287 - 67703 = -30*v. List the prime factors of v.\nAnswer: 3, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22411 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 15\/27*162\/18\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**4\/7 - 1538*l**3\/7 + 5598*l**2\/7 + 9176*l - 68288\/7 = 0.\nAnswer: -388, -11\/2, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b - 10. Give u(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 2.9999895. What is x rounded to six decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 - 21. Which is smaller: c or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 0 + 9)*(-17 - 20*o**2 + 17) in the form t*o**2 + x + k*o and give t.\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2 + 58257*d - 26329884.\nAnswer: -3*(d - 18956)*(d - 463)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of 1\/3*y**4 + 0*y - 1\/60*y**5 + 0 + 0*y**3 - 2*y**2. What is the second derivative of q(z) wrt z?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 56. What is the remainder when 228 is divided by w?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 1897*o**2 - 11*o - 21. Let c be b(-2). Let x = c + -493271\/65. Find the common denominator of x and 28\/25.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -592 + 175 + 417 - 463*y**2.\nAnswer: -463*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**2 + 119*s + 83. Determine v(-52).\nAnswer: -697","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 5*r - r + 32, r = f + 8. Let q be -957*3\/(9\/f) - -2. Let j = q + -1155. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76 + 141\/93624*50480.\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11356243189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + x + 12. Let j be p(0). Suppose v = 2*i + j, -i - 3*i - 20 = 0. Solve -1 = -5*k + 3*m + 4, 4*m = -2*k + v for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -195*v**2 - 20*v + 20. Let h be 20*(8 + (-35)\/5 - 0). Let m(l) = 28*l**2 + 3*l - 3. What is h*m(c) + 3*i(c)?\nAnswer: -25*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (10\/15)\/(3\/27)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of j**4\/4 + 206*j**3\/3 + 2563*j**2\/2 - 4803*j. Differentiate k(w) with respect to w.\nAnswer: 6*w + 412","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 10*h**2 + 12*h - 3. What is k(9)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8789002.\nAnswer: 2, 61, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 35*m = 37*m + 15, -4*m - 24 = 4*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 17*84\/(-2856)*(-6)\/(-4)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.3867711 rounded to 2 dps?\nAnswer: -9.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/(-1341))\/((-1)\/9). Is t bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6904*r**3 + 6611*r**3 - 9904*r**3 + (-r + 4*r - r)*(r**2 + 0*r + 0*r).\nAnswer: 3613*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 8) to base 5.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*y - 34*y + 86*y.\nAnswer: 17*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - q = -3*c + 194, 4*c + q - 761 = 0. Let f be c\/7 + (-4)\/14. Suppose 0*g + f = 3*z + 3*g, 0 = 3*g + 12. List the prime factors of z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/21056 and -151\/31584.\nAnswer: 63168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -4*u + 39, 13*z + 2*u = 8*z - 13. Suppose -4*q - 4 = 3*s + 2*s, -5*q - 3*s = 5. Which is the closest to 0? (a) -3\/4 (b) q (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 16983 = -37*j. Calculate the remainder when j is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 507295 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 158977.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -70 + 75. Which is the smallest value? (a) 2\/3 (b) f (c) 8\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 10101001110001?\nAnswer: 10101001110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-1 + sqrt(2448) + 5)**2 + 0 + sqrt(2448) + -4) + 0 + 0.\nAnswer: 108*sqrt(17) + 2460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 35 = -2*z. Suppose 4*a + 0*t = t + 88, -2*t = -z*a + 113. What is the tens digit of 268\/28*3 - (-6)\/a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from phpwppppppcpch. What is prob of picking 1 p and 1 h?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/((-868)\/(-756)) - 89?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72051 (base 8) in base 11?\nAnswer: -20384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -205b5 + -b?\nAnswer: -20604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 9 + -6)*(-4)\/(-28)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lp when two letters picked without replacement from {k: 1, c: 4, a: 1, l: 3, n: 7, p: 4}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -4. Suppose 0 = -5*t + r + 33. Does 8 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69712*f**2 - 34794*f**2 - 34908*f**2.\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s*s*s**(2\/9)*s**9)**(-20) assuming s is positive.\nAnswer: s**(-2380\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 divided by -4?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19801 + -1584107\/80. What is the common denominator of h and 97\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2*i + 12 = 0. Suppose 4*m = 3*r - 31, -i*r + 17 = -2*m - 21. Let h = r + -4. Does 3 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65 + 44 + -117 - 82.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 + 0)*(-2*l + 0*l + 4*l)*(57 + 2*l + 30 - 142) in the form g + v*l + b*l**2 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1161319 - 12*k + 1161319 + 6*k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 6 = -0*c + 2*f, 0 = 4*c + 3*f - 14 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/3 and 187\/42804480.\nAnswer: 42804480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 7 + 22 - (-11 + -15 + 17 + 8).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.03 and -7045719.6.\nAnswer: 211371.588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/2 + (-231)\/(-42) - -50. Let f = d - 48. Solve -1 = o - f for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.022755 and -2.7.\nAnswer: -2.722755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*o + o + 2*v, -12 = -5*o - v. What is the second derivative of t + 5*t**2 - 11*t**2 + 9*t**2 + o*t**2 wrt t?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 f when two letters picked without replacement from {f: 14, y: 5}?\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -522 and -21088.\nAnswer: 11007936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -230 and 4?\nAnswer: -920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of 0*t**2 + 1 + 1\/50*t**5 + 0*t**3 - t + 0*t**4. Let w(k) be the first derivative of c(k). Let w(i) = 0. What is i?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2409.2336 > 0.36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -30. Suppose -7*l - j = -86. What is the remainder when (6\/5)\/((-10)\/(-125)) is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 25 - 31 + 45 + 2*l.\nAnswer: 2*l + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*g + 37*g - 632712 = 0. What are the prime factors of g?\nAnswer: 2, 3, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5*s + 13 = 4*f, s = 2. Let q be f*7 - (-21)\/(-7). Suppose q*i + 15 = -3*r + 4*r, 4*r - i = 15. Solve 3*p - 4*p + 6 = -g, -r*g + 4*p - 20 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**4 + 4*g**4 - 4*g**4)*(-2*g + 0*g + 0*g) - 241*g**5 - 247*g**5 - 400*g**5.\nAnswer: -886*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1163 - -2?\nAnswer: -1161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*c = 4*c + 1994 - 1926 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 c when two letters picked without replacement from {l: 4, p: 11, o: 1, c: 1}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h\/h**(-6\/7)))\/h*h*h*h**(-1\/11)\/h*h)\/(h**(-2\/9))**(-2\/3) assuming h is positive.\nAnswer: h**(1879\/2079)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from kssztrsqrszrqtkq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 269171 from 262.066.\nAnswer: -268908.934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 12*r. Let k(y) be the third derivative of y**5\/60 - 10*y**2. Determine k(j(s)).\nAnswer: 144*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 316*y + 113. What is the thousands digit of v(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -181 - -185. What is the third smallest value in 1\/2, b, -60?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4770878245.\nAnswer: 5, 7, 19, 7174253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**5 - 3860*n**4 + 1244200*n**3 - 134781480*n**2 + 265845780*n - 132304644.\nAnswer: 4*(n - 321)**3*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -3\/26 (b) -116 (c) 5 (d) 2 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**3 + 3*y**2 - 3*y + 1. Let d = 6 + -4. Let q be z(d). Let s be (-6)\/(-9) + (-156)\/q. Calculate the highest common divisor of s and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - p**2)*(187 + 144 - 212) + p + 2*p**2 + 2*p - p.\nAnswer: -117*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 10 = 2. Let x be m\/((-8)\/6) - 1. Suppose 0 = -x*y + 3*c + 125 + 94, -2*y = -5*c - 225. Calculate the highest common divisor of y and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of 78 + 0*x + 0*x**6 + 0*x**4 - 44*x**3 + 1\/7*x**7 + 0*x**2 + 22\/5*x**5. Find the third derivative of n(u) wrt u.\nAnswer: 120*u**3 + 528*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 13*z - 8. Let x be s(11). Let i = x + 37. Let v(f) = 7 - i - 7*f. Let a(j) = 5*j**2. Calculate a(v(m)).\nAnswer: 245*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -2*n**5 + 5580*n**4 - 4630274*n**3 + 1029822480*n**2 - 68121834272*n = 0.\nAnswer: 0, 148, 1247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 384070 to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/1492, 6, -4\/7, 1\/9, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 28883672?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 6. Let d = g + 4. What is the units digit of (1\/d)\/((-6)\/(-144))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 613839, 1227676, 1841513, 2455350, 3069187, 3683024?\nAnswer: 4296861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 372 + -372. Let y = 35 - 33. Solve -3*r + y - 14 = a for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g + 2*g - 12*g)*(1 - 4 - 2)*(1 - 2 + 0).\nAnswer: -75*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1771 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**2 - 5*o**2 + 6*o + 3*o**2 + o to the form u*o + p*o**2 + s and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.2, -8, 0.4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 4*j**2 + 8*j - 9. Suppose -42*z + 5 = -37*z. Let o be l(z). Solve o*d + 12 = 5*v, 12 = -4*v - 3*d - 0*d for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25*p + 25*p - 46 - 17*p**2 + 108*p**3 + 47 wrt p?\nAnswer: 648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 35.5, 0.5, 0, -5 in ascending order.\nAnswer: -5, -3, 0, 0.5, 35.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*y + 3*y + 0*y + (y - 2*y + 3*y)*(-1 - 1 + 1) + (-y + 2*y - 2*y)*(-2 + 0 + 5) - 2*y + y - 2*y + 6*y - 4*y - 3*y in the form x*y + o and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(-2\/33)*d*d*d\/d**(-2\/23) assuming d is positive.\nAnswer: d**(3056\/759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r + 7 - 14 = 0. What is the remainder when 109 is divided by (242\/(-55))\/(r*(-2)\/10)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*b - 44*b = 21*b + 6262 for b.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9261318 divided by 6.\nAnswer: -1543553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 4 + 0)*(43*v**2 - 6*v**2 + 25*v**2) + (-v + 0 + 0)*(0 - 2*v + 0) - 3*v**2 + 0*v**2 + 2*v**2 in the form c + m*v**2 + k*v and give m.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-32))\/((-12)\/192)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 155624?\nAnswer: -155625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bve when three letters picked without replacement from {a: 1, e: 1, v: 1, b: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53 + -38. Suppose -2*i = -3*r + 21, 0 = 3*r + i - 2*i - 18. Calculate the lowest common multiple of r and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1116*r**2 - 36811 + 2134*r**4 + 36811 wrt r?\nAnswer: 51216*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 6:02 AM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14)\/77 - (-46)\/11. Let i be 280\/(-196) + ((-144)\/(-28))\/3. Determine q, given that 0*q**3 - i*q**5 + 2\/7*q - 4\/7*q**2 + 4\/7*q**j + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 4*z - 2563712, -o + 11*z - 9*z = -640934. Round o to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 5:41 PM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -33286, -66569, -99852, -133135?\n\"Answer: -33283*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 49824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -1\/2*i**3 + 6*i**2 - 4*i + 0 + 7\/24*i**4. Let k(w) = w - 6. Let t be k(8). Give v(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + 75. Let j(a) = 25*a - 6. Let m(v) = -29*v + 7. Let g(d) = 7*j(d) + 6*m(d). What is u(g(h))?\nAnswer: h**2 + 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/359773 and 21\/2878184?\nAnswer: 2878184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + -4)\/((-6)\/2). Suppose -3*j - u = -4*j. What is the tens digit of 8\/(-16)*(-39 + j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.29? (a) -17 (b) 2 (c) 0.5 (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 26*o**3 + 77*o**3 + 23*o**3 - 52*o**3 - 33*o + 69*o**3. Let v(k) = -22*k**3 + 5*k. Determine 5*b(h) + 33*v(h).\nAnswer: -11*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73 divided by -223040.\nAnswer: -73\/223040","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)*1 + sqrt(45)\/sqrt(12))\/(sqrt(363)*2 + -3*2*sqrt(3)).\nAnswer: 9*sqrt(5)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 5 + ((-1*-1*(sqrt(891) + 2))**2 - (sqrt(891) + 6*(sqrt(891) + -1) - (sqrt(891) - (-2*sqrt(891) + -4) - sqrt(891)))).\nAnswer: -9*sqrt(11) + 908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 6:23 AM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 10 = k, 5*i + k + 20 = 6*k. Let z(c) = c + 2. Let s(o) = -o - 1. Let n(m) = -3*s(m) - 2*z(m). Let u(g) = -5*g + 4. Determine i*u(q) + 6*n(q).\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1181*l - l**2 + 5546973 + 4*l**2 + 7910799 + 6805*l + 7084*l.\nAnswer: 3*(l + 2118)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f + 2 + 26*f - 2.\nAnswer: 18*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 20 = j, 0 = 5*y + 44*j - 37*j - 20 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 287 is divided by 98.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (51\/(-34))\/(6\/(-20)). Solve 4*a + 3 = v*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97538689?\nAnswer: 97538689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6449, 6444, 6437, 6428, 6417, 6404?\nAnswer: 6389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 11) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**5 + x**5 - 3*x**5 + (-3 + 6 + 1)*(-x**5 - 3*x**4 + x + 3*x**4).\nAnswer: -7*x**5 + 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hfh when three letters picked without replacement from {h: 7, f: 9}.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**2\/2 - 1802*k + 301120 = 0. Calculate k.\nAnswer: -3764, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7043 - 7044. Put 1, -3, k, 4, 54 in decreasing order.\nAnswer: 54, 4, 1, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -402.0267 to the nearest ten.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 1248. Suppose 5*k = k + r. Suppose -2*t = -5*q + 10 + 114, 3*q - k = 3*t. Does 12 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a3 + 213029?\nAnswer: 212c56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -8. Suppose -14 = -3*u + p, -3*p - 9 - 3 = u. What is the greatest common divisor of v and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -5. Suppose 0 = t - l*t. Suppose -3*m = -m - 5*b - 25, 4*b = -12. Solve t = c + 4*s - 7, -3*c - m*s + 4*s = -10 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-464)\/(-145)*8\/(-96)?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*l - 12. Let f = 52 + -56. Let h be (3 + -1)\/(12\/15)*-2. Put f, h, -1, l in decreasing order.\nAnswer: -1, l, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/21, -0.02, -0.6, -4, 9\/7?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 239 - x + 4*x + 6*x - 8*x.\nAnswer: x + 239","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + 5*((sqrt(500) - (sqrt(500)*1*3 + sqrt(500))) + 5 + (-5*(1 + sqrt(500)) + sqrt(500) - sqrt(500))*2)**2).\nAnswer: -422626 - 6500*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1491?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jbwbwwbvbseb. What is prob of sequence esjb?\nAnswer: 1\/2376","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21*i**3 + 238*i**2 + 23288*i - 2 wrt i?\nAnswer: -126*i + 476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7155*i = 7279*i + 661 + 3785 + 4854 for i.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 57 = -19*d - 34*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -62160.07859 and 2.\nAnswer: -62158.07859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-4)*(-286)\/(-260)\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f + 204333 - 51089 - 51070 - 51083 - 51091.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - 8*p - 31. Let c be o(-3). Suppose -4*f = -5*j - 3, -5*j + 7 = c*f - 2. Solve f*s - 11 = 4*s + 5*m, -s - 5*m = 13 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*v**3 - 55*v**3 + 113*v**3.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 17530 to the power of 1\/2, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1714*s**2 + 8*s + 1713*s**2 - 3415*s**2 - 8*s.\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -23*y**2 - 59*y + 315. What is f(5)?\nAnswer: -555","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 2:57 AM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 231114 * 0.05.\nAnswer: 11555.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1346573 to the nearest integer?\nAnswer: 1160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 297 + -297.5. Sort -36, -4, p, 0.7 in decreasing order.\nAnswer: 0.7, p, -4, -36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -2\/5*w**2 - 3\/25*w**6 + 0 + 2*w - 7\/50*w**5 + 7\/15*w**3 + 11\/30*w**4. Determine p so that c(p) = 0.\nAnswer: -1, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o\/((o**(7\/5)*o)\/o)*o)\/((o\/(o\/o**14))\/o) assuming o is positive.\nAnswer: o**(-52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-496)\/(-108)*3\/2 and -87\/38.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 127 + -121. Put 3, h, -0.08, 1 in ascending order.\nAnswer: -0.08, 1, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - -12. Let w = 5 + -1. Suppose w - 1 = 3*k. Solve 5*z = k - j for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (4 - 29) + -2 + -2 + 117 + 3?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 50 = -2*v. Suppose i + i = 4*o - 1530, 0 = o + v*i - 399. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 21*c**2 + 2*c - 26. Let l(u) = -4*u**2 - u + 9. Let r(q) = h(q) + 3*l(q). Suppose 0 = 2*z + 3*z - 5. Calculate r(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -113*d + 529, -35 + 13 + 2 = 5*g + 3*d - 44 - 36 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2242951000 rounded to the nearest 1000000?\nAnswer: 2243000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 898*i + 779*i - 1677*i + 33*i**2.\nAnswer: 33*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -92.7? (a) -1\/16 (b) 2\/9 (c) -2\/7 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 2*s**3 - 2*s)*(-407957 + 407957 - 955*s + (3 - s - 3)*(4 - 1 + 0) - 2*s - s + 5*s).\nAnswer: 1912*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.47 + 8.37. Let g = a - 7.9. Let y = g + -0.28. Round y to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1485367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2865, -2548, -7963, -13380, -18799?\n\"Answer: -s**2 - 5410*s + 8276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 6*l + 3. Let c(o) = o**2 - 13*o + 14. Let m be c(12). Let r = m + 2. What is t(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/7 + 3686*y\/7 - 3684\/7.\nAnswer: -2*(y - 1842)*(y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 294481*c**4 + 1324778.\nAnswer: 1177924*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-376)\/(-94))\/((-1)\/2)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2167, 8748, 19747, 35164, 54999, 79252?\n\"Answer: 2209*n**2 - 46*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 f when two letters picked without replacement from eezzfjezeiif?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**3 - 2*n**3 + 4*n**3 + 3*n**3 + n**3 - 3*n**3 + (12*n**2 + 15*n**2 - 9*n**2)*(4*n + 4*n - 3*n).\nAnswer: 90*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 + -0.2. Let r = -0.387 + -0.013. Which is smaller: m or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-2738.\nAnswer: 8214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/40 - 14\/24.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -49 + 54. Factor -8*f**4 - 2*f**n + 2*f**3 - 2*f**4 - 16*f**3 - 6*f**2.\nAnswer: -2*f**2*(f + 1)**2*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d = -52*d + 3784. Suppose 0 = z - 0*z - 11. What is the highest common divisor of z and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 85*1.322893\nAnswer: 112.445905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of 3\/14*m**7 + 29*m + 0*m**2 - 7\/2*m**4 + 0*m**3 + 0*m**6 + 1\/20*m**5 + 0. What is the third derivative of x(i) wrt i?\nAnswer: 540*i**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, p: 1, j: 2}. What is prob of picking 1 z and 1 j?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -215751*b**2*j*w**3 + b**2*j*w - 430038*b**2*w**3 with respect to j.\nAnswer: -215751*b**2*w**3 + b**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -51*d - 182. Calculate c(-3).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -3*l**3 - 2041*l**2 + 5460*l - 2732 = 0.\nAnswer: -683, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 4 + 3 + (-1 - 1 + 4)*(2 + 5 - 5))*(-3007 + 3027 + 6420)*(-2*k + 3 + 1 - 3) in the form g + j*k and give g.\nAnswer: 32200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 8*c**2 - 11*c + 9. Let p(n) = -10*n**2 + 12*n - 10. Let g(s) = -4*a(s) - 3*p(s). Let i be g(3). Put -0.5, i, 1 in descending order.\nAnswer: 1, i, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**3\/a)\/a)**(2\/35)\/(a\/a**(-2\/25)*((a*a*a**(-1\/29))\/a)\/a*a) assuming a is positive.\nAnswer: a**(-9511\/5075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 159073 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16480 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m + 3. Let b be t(3). Let h(k) = -k + 3. Let f be h(b). Suppose f*l = 4*z - 258, 0 = 5*z - 2*l - 117 - 202. 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 -8706 divided by -6?\nAnswer: 1451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -5*b + 5*y, 4*b = -4*y + 53 - 1. Let t = 58364\/11 - 5301. Find the common denominator of b - 12 - (-114)\/16 and t.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/21360 and -51\/1424.\nAnswer: 21360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26377025, -26377027, -26377029, -26377031, -26377033, -26377035?\nAnswer: -26377037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.071 - 1.231. Let g = r + -55.84. Let b = -56.938 - g. What is b rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 201 and 192?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*sqrt(637) + -4 + sqrt(13)*4)**2 - (-1 + (((1*sqrt(1573) - sqrt(1573)) + sqrt(1573) + sqrt(13))**2 - 6*2*sqrt(13)))) + 1)*6.\nAnswer: -1800*sqrt(13) + 107514","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*f - 5*x + 713 - 702, 4*x = 5*f + 30 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 2*t + 11*t**4 - 9*t**4 + 6 + 2*t**2 - 4 in the form c + h*t + x*t**2 + v*t**3 + d*t**4 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 11*g - 3. Let y be x(6). Let p be y\/(-196) - (-1)\/(-4). Which is the biggest value? (a) -1 (b) p (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43985 and 190?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -3*s**2 - 8*s + 6. Let l(v) = v**2 + 3*v - 2. Suppose 14 = 4*t + 2. What is t*n(o) + 8*l(o)?\nAnswer: -o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*k**5 + 435*k**3*n - 2301*k*n wrt k.\nAnswer: -100*k**3 + 2610*k*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 75, 1, -5 in decreasing order.\nAnswer: 75, 1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 704*l - 31677. Determine u(45).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 10*g - 19*g - 2 + 13*g. Let j = -2 + -1. Let w(m) = m - 1. Determine j*w(i) + a(i).\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*c + 24. Suppose -6 + c = m. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d - 5. Let h(r) = r + 2. Let z(q) = -5*h(q) - 3*v(q). Suppose -5*g - 15 = 5. Does 13 divide z(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -431474651.55+2566\nAnswer: -431472085.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 3*o**3 - 135*o**2 + 2025*o - 10125 = 0.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (110*z + 29*z**2 - 110*z)*(-174 + 615 - 68).\nAnswer: 10817*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3423, -14027, -31687, -56415, -88223, -127123?\nAnswer: -173127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/((q*q**4\/q)\/q*q))\/q**(-2))**21 assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 94401584 to the nearest integer?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 AM and 5:23 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 i, 1 f, and 1 a when four letters picked without replacement from rhaofiiiaoiir.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -626 by 1.\nAnswer: -626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**2 - 4*p - 5. Let w(m) = -3*m**2 - 4*m - 6. Let q(y) = -5*w(y) + 6*z(y). Let s(j) = -j**2 + j - 1. Calculate q(l) + 4*s(l).\nAnswer: -l**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**3 + 58*s**2 + 11*s - 21. Let r be k(-28). Let c = -548 + r. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of g**8\/16800 + g**7\/2100 - g**6\/450 - 241*g**4\/12 + 237*g. Let b(y) be the third derivative of z(y). Factor b(f).\nAnswer: 2*f*(f - 1)*(f + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 150144429?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ej when two letters picked without replacement from {i: 2, v: 2, n: 1, d: 2, e: 1, j: 1}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ebd7 + -2541?\nAnswer: -12228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/207 and -143\/90.\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.32 - -1.6. Let d = z + -18.28. Let j = 18.1 + d. Is j at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105, 217, 333, 453, 577?\nAnswer: 705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8082 by -14281.\nAnswer: 8082\/14281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 1. Let t(s) = 48*s**2 - 16*s + 55. Let j(p) = 2*n(p) + t(p). Is j(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(85)*-4)\/(sqrt(225)\/sqrt(5)).\nAnswer: -8*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (14\/(-3) - -4)\/(648495\/648513 + -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 7 - 4 = 0. Let v be 6\/(-16)*10\/d. Let o = -9 + 8. Which is the third smallest value? (a) o (b) v (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) + -1 - sqrt(891)) + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 6:29 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-4\/3)\/b)\/(b*(b*b\/b**(-4))\/b)*(b*b\/b**(2\/3)*b)**47)\/(b**4*((b\/b**(-14))\/b)\/b*b)**(-19\/2) assuming b is positive.\nAnswer: b**(817\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 132316 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k + 3. Let v be d(3). Let l(u) = -u**2 + 6*u - 5. Let x be l(v). Let i(s) be the first derivative of s**2\/2 + 2*s + 2. Give i(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 39164?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 442447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12728742769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23976471 and 7305?\nAnswer: 1461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -275*a**2 - 5*a + 2. Let d(s) = -1650*s**2 - 30*s + 10. Let c(t) = 4*d(t) - 25*p(t). What is j in c(j) = 0?\nAnswer: -1\/5, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 10*t**2 + 4*t. What is p(-3)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from cncnhchcncnhc?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (8324 - 3*6\/(-36))*4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6276?\nAnswer: 2, 3, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 5*r - 43. What is the common denominator of 8\/(-28) + 76\/r and ((-198)\/4)\/(1 + 0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22853711 to the power of 1\/2, to the nearest integer?\nAnswer: 4781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1119.469mm to centimeters.\nAnswer: 111.9469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57501529 to the nearest integer?\nAnswer: 7583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, b: 5, q: 2}. Give prob of sequence qqk.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 7*g**3 + 7*g**2 + 16. Let p(z) = 4*z**3 + 3*z**2 + 8. Let n(r) = -5*p(r) + 3*s(r). List the prime factors of n(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3438\/145 + 705\/29. Let t(u) be the second derivative of -r*u**3 + 1\/30*u**4 + 8\/5*u**2 + 1 + 14*u. Solve t(w) = 0 for w.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 223 - 223. Suppose b = -x + t + 1059, -2*x + 2146 = 31*t - 26*t. What are the prime factors of x?\nAnswer: 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 438 is divided by 111?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 312.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 573890?\nAnswer: 2, 5, 57389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 - 1602*a**2 - 51144*a - 366080.\nAnswer: 2*(a - 832)*(a + 11)*(a + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -323 (base 9) to base 2.\nAnswer: -100001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13.1 - 13. Let w = -3 - -3.04. Let v = -2.04 + w. What is the closest to y in -5, v, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 11:25 AM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 z when two letters picked without replacement from ozqbbo?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3205, -2, -9, 3, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 46319336 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 6*p = -4*p + 2, 0 = -5*j - 3*p + 10. Let y be j*(-4)\/(-40) + 458\/10. What is the highest common divisor of y and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 464 = -6*j. Is 4 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 224576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2169*f - 1063 = -2202*f - 73 for f.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/17 (b) 1 (c) -8 (d) -5 (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 93456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -m - 19, 2*z - 5*m - 9 = 14. Does 3 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*i**2 - 3*i**3 + 7*i**3 + 6*i**2.\nAnswer: 4*i**2*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zc when two letters picked without replacement from lvlllzczvlvlsszclk?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 16) to base 10\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (23*w**2 - 3*w**2 + 2*w**2)*(-16*w + 31*w - 10*w - 12) as u*w**2 + k + r*w + o*w**3 and give o.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iz when two letters picked without replacement from iziiizkzqziikzil.\nAnswer: 7\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 67*y + 4933. Determine i(-74).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q - 3. Let m be p(2). Let o = -14432\/15 + 962. Which is the closest to m? (a) 2 (b) 3 (c) o (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4 + 25 = l, -5*i - 34 = -2*l. Let h be 2\/i*2*-816. Suppose 0 = 3*t - 0*t - h. Round t to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 84687*-2\nAnswer: -169374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1041311582 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**2 + 421409440*r + 22198239515139200 = 0.\nAnswer: -105352360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 7:17 AM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 619 + -577. What is the least common multiple of 54 and p?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(1*sqrt(99) + sqrt(99) - sqrt(99))*6)\/(sqrt(27)\/(sqrt(192) - (-2*sqrt(192) - sqrt(192)))))**2 + -3.\nAnswer: 14598141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 4:42 AM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + y**2 + 3*y + 6. What is u(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3531896 from 0.2.\nAnswer: -3531895.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -27*f - 1. Let l be 120\/(-105) - (-1)\/7. What is the units digit of y(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 13. Let d = l - 7. Calculate the remainder when 10 is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 22 = 2*w, 208 = -2*w + 4*l + 202 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -384 - -431. Let x = b - 44. Solve -x*c - 4 = -2*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 971637990?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1353283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c**3\/3 + 14*c**2 + 91*c\/3 + 10 = 0. What is c?\nAnswer: -5, -3, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 146*n**3 + 103*n**3.\nAnswer: -43*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (72 - 19*m**2 - 22*m**2 + 44*m**2)*(-1 - 2*m + 1).\nAnswer: -6*m**3 - 144*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 19. Let z = 0.05 - -0.35. Sort z, r, 0 in descending order.\nAnswer: z, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1113 + 1559. List the prime factors of t.\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45501356333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23081.53 decades to months.\nAnswer: 2769783.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.259157kg to milligrams.\nAnswer: 1259157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-8 + 7)) + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*z - 2 - z**2 + 4*z + 2*z to the form w + x*z**2 + u*z and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3970, -14847, -44342, -101755, -196386, -337535, -534502, -796587?\n\"Answer: -1550*p**3 - 9*p**2 - 2411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-1*sqrt(200))**2 - (sqrt(200)*-2 + 3)) + 2.\nAnswer: 20*sqrt(2) + 1799","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2 (b) -15 (c) -1 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, g: 2, s: 1, o: 1, j: 1, b: 1}. What is prob of sequence bg?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -123*c**3 - c**2 - 2*c - 2. Calculate y(-1).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 311 a factor of 850646933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 95 + (-157 - -64) + 49.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 17*o**2 - 3. Let g(b) = -b**3 - 11*b**2 + 1. Let t(m) = -3*g(m) - k(m). Find w such that t(w) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0 (b) 0.03 (c) -205 (d) -1\/3 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 2*y + 4. Let s be a(-4). Let z = s - 9. Put z, 4, -2 in decreasing order.\nAnswer: 4, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + 13*p + 17. Let r(u) = -u**3 - 9*u**2 - 10*u - 2. Let k be r(-8). Let v be x(k). Which is the smallest value? (a) -1 (b) 2\/15 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.026 - 25.026. Let l = o + 25.2. Which is the third biggest value? (a) l (b) -3 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.03 (b) -2 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 158082698 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.038 + -0.972. Let s = -0.07 + r. Let b = s - -1.139. What is b rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 169319 to the power of 1\/2, to the nearest integer?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2782837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -188*626885.\nAnswer: -117854380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (6 - (1 - -5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - m + 20 = 0, -3*k - 2*m + 12 = -3*m for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -558 + 557. Which is the nearest to -1\/5? (a) 41 (b) l (c) 4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 44 + 6*v + 2617*v**2 - 84*v**2 + 2*v - 9*v - 377*v**2 wrt v?\nAnswer: 4312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1*(2*sqrt(39)*-1)\/(sqrt(21)\/sqrt(28)).\nAnswer: -4*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 254845 - -244648. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 less than or equal to -8965456?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-21) - 5\/(105\/(-174)). Let a(m) = 3*m**2 - 8*m + 13. Let s be a(l). Let z = s - 27. Is 113 <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in six fifths of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - u + 12 = 0. Let b(j) = 2*j**2 - 3. Let m = 21 + -19. Let t be b(m). Solve -3*w = t + u for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7036437.02071 and -0.075.\nAnswer: 7036436.94571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 254 + 21?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c**2\/5 + 1394284*c\/5 - 278856 = 0 for c.\nAnswer: 1, 348570","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 6:05 AM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1606 + -1602. Put -10, v, 3 in ascending order.\nAnswer: -10, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 40862740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13366017 and 159?\nAnswer: 13366017","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10772 (base 12) in base 10?\nAnswer: 21830","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 8 = -3*z, 2*z + 10 = 3*h + 16. Solve -3*f - 2*f + 20 = z for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39 - -35. Sort 0, m, -3.\nAnswer: m, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o + 2*o + 4 - o)*(-21 - 9 + 5).\nAnswer: -150*o - 100","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/11? (a) 5 (b) -6 (c) 3\/2 (d) -25 (e) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 155950288*t**4 + 24681*t**2 - 4*t - 52.\nAnswer: 3742806912*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -27268821, -27268806, -27268791, -27268776?\n\"Answer: 15*r - 27268836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-917 - 345 - 161 + 90)*(2*v**3 - 3*v**2 + 3*v**2)*(1 + 0 - 2) as x + f*v + g*v**2 + b*v**3 and give b.\nAnswer: 2666","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 46952411 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 58201 and 10131451.\nAnswer: 4477","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 52\/13*(2 - 0) - -5\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1, -7, -3, 19, 65?\n\"Answer: n**3 - 15*n + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {s: 6, j: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47 (base 12) to base 7.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2759 + -2758.97615. What is x rounded to 3 dps?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5532410*l**6 - 7597525*l**2 wrt l.\nAnswer: -663889200*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/12 + (-164)\/(-16). Suppose 0 = -5*c + g - 0. Solve -3*a + 2*y - 9 = 0, -2*y + 1 = -a - c for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -5 - 1) + 10 + -16.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -451343 + 780370. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -526*s - 3152. Let x be l(-6). Solve 1769*g + x = 1771*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -z - 8 - 8, -p = 5*z + 28. Let i(f) = f**2 - f + 2. Calculate i(z).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.24241803 to three dps.\nAnswer: -7.242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*r + 3*r - r)*(0 - 2 + 3)*(-7 + 4 + 7)*(-4*r + 8*r + 4*r) to the form z*r**2 + g + n*r and give z.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6296589369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0021372 rounded to 4 dps?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 9829184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-12)*3310\/331*16\/(-20)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - 41\/(41\/(-6)). Solve 2*y - 3 = d, 0 = 6*d - u*d + 6 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 12*t - 4. What is s(10)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + 1 + -1 + -1.\nAnswer: -1 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 12:04 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*s**3 + 3*s**3 - 3*s**3)*(1 - 1 - 4) to g + l*s**3 + r*s + t*s**2 and give l.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/17? (a) 0 (b) -19 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m\/(m\/((m**(-2)\/m)\/m))*m)**(1\/43))**(1\/28))**(2\/31) assuming m is positive.\nAnswer: m**(-1\/9331)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.18 times -0.48\nAnswer: 0.0864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41701128 and 1780.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 5 + 9*g**3 + 0 + (-2 + 2 + 13*g)*(-20*g + 6*g**2 + 20*g).\nAnswer: 87*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 15 = 4*c. Let w(i) be the first derivative of -2*i**2 - 2*i + 5. Let v(q) = 7*q - 3*q - q - 4*q. What is c*v(s) - w(s)?\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3388342335?\nAnswer: 3, 5, 7, 17, 599, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -49 and -35.6?\nAnswer: 1744.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 5*p**2 - p - 4. Give r(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 3\/4*b**5 + 21\/4*b**4 + 0*b - 9\/2*b**3 + 0*b**2.\nAnswer: -3*b**3*(b - 6)*(b - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4, 30, 104, 250, 492, 854, 1360, 2034?\n\"Answer: 4*n**3 - 2*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g - 8. Let z be ((-12)\/(-9))\/((-4)\/18). Suppose 2*p + 69 - 59 = 0. Let v(j) = j + 7. Give p*q(s) + z*v(s).\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/14)\/((-13)\/91). Let m be (-6)\/10 + v\/(-10). Which is the third biggest value? (a) m (b) -0.05 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**3 + 554480*y**2 - 48782624*y + 1073132544 = 0.\nAnswer: 44, 277152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 6*q - 1. Suppose -29 + 23 = 6*f. Give l(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*7\/(-8) - 1\/(-4). Let i(k) = 0*k**2 - 3*k**2 + 3*k - 22*k + 4*k**f + 42. What are the prime factors of i(17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 245*u**2 - 36497*u - 1190. Determine g(149).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 6*z - 37 = -91, 42 = -h - 4*z for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/120*42*12\/21*2310\/84.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0.11, -3 in decreasing order.\nAnswer: 0.11, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20 - 22 - 44*z - 7*z)*(z**2 - 4*z**2 + z**2) to the form w*z**2 + u*z + h*z**3 + v and give h.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4073506487 divided by -4.\nAnswer: 4073506487\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23540?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 399204 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -3285 greater than -59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5292*d + 3281 wrt d?\nAnswer: -5292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -16424d + 414?\nAnswer: -163c39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -g**4\/4 + 6*g**3 + g**2 + 14*g + 4. Let k be h(18). Let l = k - 4. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.5 and -6.3.\nAnswer: 22.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ymyyuttthtmtyytmtut. Give prob of sequence yh.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*b + 2*y + 24 = 0, 430*y = 423*y - 84 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbhsshshbshhhsbh. What is prob of sequence sh?\nAnswer: 7\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -165642 (base 7) in base 13?\nAnswer: -1219b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 24. Suppose -4*o + 3*o - p = 0. Which is the closest to 8? (a) -2\/5 (b) -3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 572*y - 2875*y - 430*y - y**2.\nAnswer: -y**2 - 2733*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f + 10 = -13*f. Which is the third smallest value? (a) f (b) -2 (c) 1\/3 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = 8 + 10. Let r(f) = 7*f**2 + 3*f + 8. Let m(v) = 20*v**2 + 8*v + 25. Let i(p) = n*m(p) + 8*r(p). Let s(u) = -u. What is i(s(o))?\nAnswer: -4*o**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*h - 163 = u, -2*h + 4*u - 32 = -h + 4*h - 25*u + 16*u for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 5*m - 5 - 0, g + 5*m = 0. Suppose g*y = 12 + 13. Let c(s) = -s**2 + 5*s + 9. Let a be c(y). Calculate the greatest common divisor of a and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 2375*m - 2378*m + 62, 5*k - 2*k - m = -34 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r**5 - r**4 - 12*r**3 + 14*r**2 + 2*r - 2. Let u(t) = 3*t**5 - 12*t**3 + 15*t**2 + 3*t - 3. Let d(b) = 3*q(b) - 2*u(b). Factor d(m).\nAnswer: 3*m**2*(m - 2)*(m - 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(1\/2))\/(v*v\/(v**(-2)\/v)*v)*(v**(1\/2))**47 assuming v is positive.\nAnswer: v**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -922*d - 12015 + 12015 + 179*d.\nAnswer: -743*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20843998 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 190 and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*w - 571 + 1037 = -1319 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 m when four letters picked without replacement from wmmwkwmmwwdww?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1276548.\nAnswer: 2, 3, 7, 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1337751?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (i - 3*i + 0*i)*(62*i - 108*i - 39*i - 252*i)*(-8*i**2 - 4*i**2 - 12*i**2) as h*i + p*i**2 + a*i**3 + q*i**4 + f and give q.\nAnswer: -16176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/44364 and 61\/7704548.\nAnswer: 23113644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1336973*y**2 + 75 + 42 + 1336975*y**2.\nAnswer: 2*y**2 + 117","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247 is divided by 84.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/8616 and -89\/25848.\nAnswer: 25848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 18 = 2, 0 = 2*j + 2*h + 28. Let z = 5 - j. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 744732, 1489467, 2234202, 2978937, 3723672?\nAnswer: 4468407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 55 - 45. Calculate the remainder when 19 is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5512 by 26.\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -152*100\/33250*300\/(-16)?\nAnswer: 60\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28185332 divided by 7046333.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + 3.8484.\nAnswer: 3.7484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 7765.748 years?\nAnswer: 7.765748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*b**3 + 0 + 0 + 11809*b**2 - 11809*b**2 + 16*b**3.\nAnswer: 30*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 8 = 5*r - 3, -2*r + 5*n = 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 139370.\nAnswer: 139370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 6*x - 4. Let w be j(5). Let h = 17 - w. Let c be (-30)\/(-2 - h\/6). Calculate the greatest common divisor of c and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3305 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12087 and 461992.\nAnswer: 4157928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -74 (base 10) to base 11.\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jnqnqnnnnqqjnqjnj. What is prob of picking 2 n, 1 q, and 1 j?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (-25 + 32)) + -12.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 753099.6ml to litres.\nAnswer: 753.0996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -270 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -4*k**3\/3 + k**2\/2 + k + 1. Let t(c) be the first derivative of b(c). Is t(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v + 12. Let t be g(-9). Let o be (-20)\/6 + 9\/t. Is o smaller than 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11508 - 11576 - ((-1 - 0) + -22)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 11, -2, 170664, 2, -1 in descending order.\nAnswer: 170664, 11, 2, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**2 - 2*u - 1. Let m(y) = -3*y**2 - 18*y + 62. Let h(r) = m(r) + 2*x(r). What is h(18)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1000112 (base 3) to base 8\nAnswer: -1347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.7 - 68.7. Let x = -65.792 - j. What is x rounded to two decimal places?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g + 0*g + 4*g**3 - 2*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from ggrugbggugbbggxb.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -3. Suppose -b + 34 = -g*b. Suppose 658*a + 132 = 660*a. What is the remainder when a is divided by b?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 229567 (base 11) in base 3?\nAnswer: 200111101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -280 - -501. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(-10)*(1 + -3). Let t = 0.16 - 0.46. Which is the second smallest value? (a) -4 (b) x (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 4*j + 4*j)*((-3 + 1 + 0)*(-4*j + 2*j + j) - 8*j - 6*j + 3*j + (2 - j - 2)*(5 - 4 - 3) - 6*j + 3*j + 4*j - 5).\nAnswer: -24*j**2 - 20*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 5 - 2 - 4 - 4*a + 4*a**2 + a**3. Determine n(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 15*f**3 + 13*f**2 + 13*f + 12. Let y(v) be the first derivative of 7*v**4\/4 + 2*v**3 + 3*v**2 + 6*v - 3557. What is 6*g(a) - 13*y(a)?\nAnswer: -a**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.81341nm in micrometers?\nAnswer: 0.04081341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -180 divided by 8\nAnswer: -45\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 16) in base 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -140601, -142584, -145889, -150516, -156465, -163736, -172329?\nAnswer: -182244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -340220 (base 8) in base 15?\nAnswer: -24057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4168 is divided by 1995.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q + 166629*q**2 - 11*q - 166623*q**2.\nAnswer: 6*q**2 - 8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5*y**3 - 931*y**2 - 741*y - 1278. Give v(187).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t + 4*t - 31956. Let b = 14689 - t. Suppose -5*a + 5*u + 265 = -b, -1381 = -a - 5*u. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 443 divided by -39663.\nAnswer: -443\/39663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 2:17 AM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 730 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qhyqqqeqqeeeehhqeqye. What is prob of sequence yyhq?\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 38*z**2 - 395*z - 52. Let s(f) = -18*f**2 + 194*f + 26. Let t(l) = 2*d(l) + 5*s(l). Factor t(m).\nAnswer: -2*(m - 13)*(7*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - u + 17 + 2, -5*i + 4*u = 21. Let k be 35\/i + 223 - -3. Calculate the greatest common divisor of 292 and k.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 9:01 PM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 f when four letters picked without replacement from offfwwoowow.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/12687 - -6102443\/25374. Which is smaller: z or 242?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 274 = -491. Let y be 17\/x + (-28)\/(-10). Solve y*j = -m - 5, 0 = m - 5*m + 2*j - 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + -0.0018826145592?\nAnswer: 0.1981173854408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5 - -5)\/(2\/(-2)). Suppose 4*o - 4*l - 4 = a, 2*o = -4*l + l + 2. Is o\/(3028\/(-1516) + 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 139882 divided by 139882\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 + (-11 - -5) + -17?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/20688203 and 59\/344.\nAnswer: 165505624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 22*u**2 - 2*u - 1. Suppose 4*g - 4 = 0, g + 1 + 3 = -5*z. Is r(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (-12 + (-4 - ((0 - -2) + -13)))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -102, -184, -266?\n\"Answer: -82*w - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 1 = -5*r, -8*r + 12*r - w = 14 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3 = r + 6, 0 = -3*l - 12. Calculate the remainder when (2\/r)\/(4\/(-120)) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + -2 + -2)*-2. Suppose x = 2*x - w. Suppose 0*f + 10 = 5*f. Solve -5*o = -15, 0*r - f*o - 14 = x*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirteen fifths of a century?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of k**4\/12 + 7*k**3\/2 + 10*k**2 + k - 33. Suppose t(m) = 0. Calculate m.\nAnswer: -20, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*d, -4*l = 8*d - 4*d - 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + g**2 - 1. Let x(m) = -m**3 - 34*m**2 + 2. Determine 2*u(d) + x(d).\nAnswer: d**3 - 32*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r**2 + 13*r. Let q be y(4). Suppose 5*k + 72 + 34 = 3*h, 0 = q*k + 8. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -55 (b) 12\/13 (c) 4 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 6, b: 13}. What is prob of sequence bbmm?\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4095087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b**2\/4 - 13659085*b\/4 - 6829545\/2 = 0 for b.\nAnswer: -1, 2731818","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + (-6 + (8 - 7) + -5 - (11 - 26)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1992705 to the nearest ten thousand.\nAnswer: -1990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7)\/(-60) + 32\/(-128) - (-107)\/15. Solve -5*v = -4*g + 3, p*g = 2*g - 4*v + 14 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1467 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: What is the nearest to -11 in -12, 0.3, 0.5?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3*(0 + sqrt(288) - sqrt(288) - sqrt(288)) - 5*sqrt(128))**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u = -38*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3061 = 307*v - 3*h, 45*h = 4*v + 21*h + 23*h - 37 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000000576579 rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/13 (b) -0.2 (c) 1 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 54 - 41. Let h = -4 + c. Let r(g) = -2*g + 20. Let n be r(h). Solve -3*a = n*w - w + 1, -4*a - 16 = 5*w for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 61989124?\nAnswer: 5\/61989124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -5*u**2 - 229*u + 78. What is the remainder when 190 is divided by k(-46)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 6:14 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -633412, -633405, -633384, -633343, -633276, -633177, -633040?\n\"Answer: v**3 + v**2 - 3*v - 633411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -13*m + 18 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1538118 - 8*q**2 - 3076240 + 1538122.\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -7*d - 32 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12240244 (base 5) to base 11.\nAnswer: 80894","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4374000 rounded to the nearest 100000?\nAnswer: 4400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 7*z - 9. Let w be n(-3). Is 115\/3 - w\/45 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-6) + (-5)\/2 - -26. Calculate the highest common divisor of m and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2118 + -995. What is the remainder when b is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of i**6\/40 + 21*i**5\/5 + 1991*i**4\/8 + 5922*i**3 + 536787*i**2\/8 - 3662*i. Let o(l) = 0. What is l?\nAnswer: -47, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.892 and -30118.44769.\nAnswer: -30117.55569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-119))\/((-13272)\/61936).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 166636.8g?\nAnswer: 166636800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14086 and 25.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -4223550104?\nAnswer: 4223550101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -209401893 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t + 14. Let y be h(-16). Let l = y + 45. Find the third derivative of l*r**2 - 11*r**2 + 3*r**6 + 11*r**2 wrt r.\nAnswer: 360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 4 + 3)*(12*h + 5*h + 0*h + (2 - 3 + 3)*(-2*h + h + 0*h)) to the form i + p*h and give p.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -298 and -79.\nAnswer: -377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -6 + ((-5 - -5) + 0 - -6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-69)\/21 + (-2)\/(-7). Let h be 0 - 2\/21*u. Let s = 2.6 + -0.6. Is h less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1655 divided by 5.\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 140 + 1?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 122030212 (base 4) in base 3?\nAnswer: 12110012011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**2 + 15*m - 6. Let l be h(7). Suppose 11 = x + l. What is the second derivative of r - 8*r**3 - 5*r + x*r wrt r?\nAnswer: -48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -2*s + 49, -5*p + 7*p = 2*s - 58. Suppose 0*i = -2*i + 8. Suppose -a = -6*u + i*u + s, u = -3*a + 6. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -559068 rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**3 - z**2 - 3*z + 2. Let h be q(2). Suppose 9*j = -j + 520. Suppose -s + j = h. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/(-4)*2*(-20)\/(-15). Let o be 156\/(-27) + x\/27. Let k(t) = -12*t + 13. What is the tens digit of k(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/3144 and 18\/1819459?\nAnswer: 43667016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -1 - (-242 - -254) - (-50 + 1)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 29*j**2 - 3*j. Let n be f(2). Suppose -n = -4*q - 6. Let u = q - 12. Is 14 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -5, -1.\nAnswer: -5, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yf when two letters picked without replacement from kofaayykyaffkaffof.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1794 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3*x**3 - 3*x**2 + 5*x + 7*x - 19*x + 9*x + 2*x**4 to o*x**2 + k + w*x + p*x**4 + v*x**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 3*p**2 - 2*p - 1. Let x be k(-3). Suppose -5*l + x = 2*d, 0*d + 5*l - 5 = d. Suppose d = v + 5, -v - v - 6 = m. Is 3 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 80, -141, 8, 5 in increasing order.\nAnswer: -141, 3, 5, 8, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**(-8\/9)*d*d*d**12\/d assuming d is positive.\nAnswer: d**(134\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/13 - 18*a**2\/13 - 258*a\/13 - 238\/13.\nAnswer: 2*(a - 17)*(a + 1)*(a + 7)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -170585 times -0.5\nAnswer: 85292.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 8*r + 4. Let o(i) = -i**3 - 8*i**2 - i - 2. Let b be o(-8). Let w(s) = -5 - 23*s - 3 - 6 + 3. Give b*w(h) + 17*v(h).\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 39? (a) -314\/17 (b) -1\/3 (c) 3 (d) -0.4 (e) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 142 - 150132130?\nAnswer: -150131544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3*q + 1. Let h = 2119 + -2118. Give y(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -5*s**3 + 5*s - 154. Let t(z) = 7*z**2 - 2. What is 2*n(m) + 5*t(m)?\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1044526 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 - 27. Which is the fourth biggest value? (a) 1\/4 (b) j (c) -1\/3 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32.6 - -33. Which is the closest to 1.1? (a) -5 (b) 0 (c) p (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.26 times -3\nAnswer: 12.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17192 and 22?\nAnswer: 189112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -630 or -595?\nAnswer: -630","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 11:48 AM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d**2 - 83407332*d + 579731919279852 = 0.\nAnswer: 13901222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.0184 - -0.0184. Which is the second smallest value? (a) -82 (b) y (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22258 - 22258 + f - 34*f**2 - f.\nAnswer: -34*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/(-9)*27\/6. Is (-138)\/4*v\/9 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -392*y - 23. Let i be t(-1). What is the greatest common divisor of 9 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 21*f. Let u(q) = q + 1. What is 2*u(v) - y(v)?\nAnswer: -19*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 19*y - 41. Let h be k(16). Solve -21*c = -28*c - h for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-363)\/2*(51 + -53)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 3*h**2 - 11. Suppose 2*o = 2*j - 2*o, -3*j - 3*o = 36. Let n(a) = 4*a**2 - 3*a**2 - 43 + 27 + 20. Determine j*n(x) - 3*u(x).\nAnswer: 3*x**3 + x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1776, -7120, -16026, -28494, -44524?\nAnswer: -64116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 706685238.\nAnswer: 2, 3, 7, 31, 239, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**2 + 255*m. Let p(h) = -h**2 - 24*h - 61. Let o be p(-21). Let c(k) = -k + o*k - 3850 + 3850. Determine c(r(s)).\nAnswer: 2*s**2 + 255*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -711 + 1460. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r**(1\/3)*r)\/r*r*r)\/(r*r**(2\/13)\/r)*r**(-4)\/r*r**(-3) assuming r is positive.\nAnswer: r**(-188\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - d - 180, -3*b - d + 172 = -88. Suppose c - 699 = b. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2c - -4?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-1\/2))**38*o**(-5)\/o**(6\/11) assuming o is positive.\nAnswer: o**(566\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**2 - 77*w + 258. Calculate the lowest common multiple of a(60) and 1548.\nAnswer: 17028","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59 + -39. Calculate the remainder when 77 is divided by x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 862587 - 3*i - 5*i + 5*i - 862587.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 0 + 18 + (5 - 10).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 442 (base 5) in base 7?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -17, -20, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8546.371 rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(6\/9 + (-15)\/9).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 3*j - 8841, -26*j = -30*j + 2*q + 11818. What is the hundreds digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*(-4*t + 4*t + t**2) + 13*t - 13*t + 6*t**2 - 3*t**2 + 6*t**2 - t**2.\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 41818895 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 4*m = -24, -2*a + 5*m - 20 = -48 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1220930 or -1220966?\nAnswer: -1220930","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 129*d - 125*d. Suppose d*c + 308 = -1840. What is c rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 4705663?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*54*9950\/(-35820)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 y when two letters picked without replacement from {y: 1, i: 1, b: 1, p: 2, a: 1, g: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -45.62497071 to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 284 and 25727986?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a millennium?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -67*n - 2749. What is m(-41)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285440 is divided by 656.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2101340 (base 5) to base 6.\nAnswer: -424055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, r: 2, l: 1}. What is prob of picking 2 l and 1 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(2*sqrt(153))\/sqrt(3)*4)\/((sqrt(432) + sqrt(432) + (sqrt(432) - (sqrt(432)*-2 + sqrt(432))) + sqrt(432))*2*2))**2.\nAnswer: 17\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -4590416 at most as big as -4590408?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + i**2. Let n be d(0). Let l = -10 - -6. Let u be l\/6 - (n + 0). Is u smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81835.4885 rounded to the nearest 100?\nAnswer: -81800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 92450 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -633172 or -633156?\nAnswer: -633156","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -124 + -21044?\nAnswer: -21223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 7*r - 9*r + 1180 = 0, -x - 580 = -3*r. Is -593 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*u + 71*u + 104 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -76\/9 and -97\/15334.\nAnswer: 138006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2423 + -11?\nAnswer: 2412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**1)**(-1\/47)\/((p**(-2)*p)\/p**4))**(-42) assuming p is positive.\nAnswer: p**(-9828\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/2450*-25*-1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -78\/58195?\nAnswer: -78\/58195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*g + 0*g + 7)*(1 - 2 + 4).\nAnswer: -6*g + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(-v + v - v**4) - 72 - 2*v**4 - 124 + 195 + 509*v + 5992*v.\nAnswer: -3*v**4 + 6501*v - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one quarter of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 108 = -4*o, -13*o + 10*o = -k + 50. What is the remainder when k is divided by 13*1 + 5 + -5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 2*q**2 - q + 5. What is j(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 724 + -726.687. What is s rounded to one decimal place?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79, -91, -123, -187, -295, -459, -691, -1003?\nAnswer: -1407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {v: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 10*s. Let u(r) be the first derivative of r**3\/3 + 7*r**2\/2 + 7*r - 5. Let t(i) = -i**2 - 6*i - 6. Let l(z) = -7*t(z) - 6*u(z). Calculate l(v(b)).\nAnswer: 100*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*i + 1279126 = 0, -85*w - 2*i + 3837422 = -79*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -1. Suppose 0*x + w*x = 8. Suppose -x = -2*o + 3*m, 5*m + 0*m + 10 = 5*o. Solve -6 + o = -2*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0598235 - -28.9401735. Let v = -29 + d. Round v to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.27 and -14090364111.\nAnswer: -14090364112.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2849910.11 rounded to the nearest one hundred?\nAnswer: -2849900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = -a + 4*a - 2*c, 0 = 4*a - 2*c - 78. Let n(l) = l**2 + l - 38. Calculate the remainder when n(-10) is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -161 divided by -4243020?\nAnswer: 161\/4243020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 258 and 3182?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(153) - (sqrt(153) + sqrt(153)*1) - sqrt(17)).\nAnswer: -4*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9107581127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 58448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**2\/9 - 44324*y\/3 - 245577122 = 0?\nAnswer: -33243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*u - 22*u + 308. Find the first derivative of 27 + u + 44 - 73*h**3 wrt h.\nAnswer: -219*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - 32*d - 200. Give v(-22).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2 - 7 = 0. Suppose -4*d + j*x + 21 = 0, 3*d - 2*x = -d + 18. Let g be ((-4)\/(-10))\/(1\/20). Calculate the greatest common factor of d and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1.122447 microseconds?\nAnswer: 1122.447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-39)\/221)\/((-2)\/(-4) + -2).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3*1)\/((-6)\/30). Let j = z - -15. Is (1 + j)*(3 + 76) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1812343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150 + 32489*q**2 - 32489*q**2 - 148 - 6*q**3 + 298.\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - 132401?\nAnswer: -132406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2266.6 + -2019. Let a = -48.4 - m. Which is smaller: a or 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210 is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63443, 63392, 63341, 63290, 63239, 63188?\nAnswer: 63137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -36*c**2 + 217*c + 5. Let j be u(6). Solve -27 = j*m - 5 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-763)\/(-42) - 4\/(-3). Let l = b + -199\/10. What is the closest to -0.1 in -0.1, l, 0.03?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4566203 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x + 19*x - 1807430 = -55*x. Is 129 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/37940 and -89\/9620?\nAnswer: 18249140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*r - 15. What is the remainder when 19 is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -76*d + 199*d**2 + 50*d**2 + 306*d**2 + 72*d + 39 + 650*d**2 wrt d.\nAnswer: 2410","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**2 + 12*t + 15. Let q be d(-11). Suppose 7*c - 2*c = q. Calculate the greatest common divisor of c and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*u - 1457 = 349*u - 144*u for u.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 8*m**2 + 8*m - 14. Give i(-7).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5806.9 - 6367. Let v = -514 - u. Let q = v - 31.2. Round q to the nearest integer.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2260*v + 2257*v + 171 = 0. Is 61 greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, -1\/317471, 2, 3, -1\/11 in decreasing order.\nAnswer: 5, 3, 2, -1\/317471, -1\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 443*r - 502*r + 289 = -3*a, -2*r - 4*a = -18 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -0*i. Solve i = -2*c - 4*c - 30 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 3 + -1 - (-780 - -791).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -64*v**3 + 18*v**2 + 32*v - 8. Give j(-3).\nAnswer: 1786","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {x: 3, d: 7}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (sqrt(7200) - ((0 + sqrt(7200) - sqrt(7200)) + sqrt(7200))))**2 - sqrt(7200))*4.\nAnswer: -240*sqrt(2) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24594139*a**5 + 17753896*a**2.\nAnswer: 1475648340*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + 4*o - 2. Let c be a(1). Let j be (2584\/(-2))\/(2\/(-15)*c). What is j rounded to the nearest 100?\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 29974? (a) 0 (b) 1\/10 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 65*r**2 - r + 1771. Give j(0).\nAnswer: 1771","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ol when two letters picked without replacement from {o: 6, l: 7}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/(-3)*(-1 - 0). Let h = 0.26 - 0.06. Let i be (63\/(-105) - (-48)\/30)\/((-1)\/19). Which is the smallest value? (a) s (b) h (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116470708 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a century in months?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -249 at least 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 510177967.\nAnswer: 13, 101, 283, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -2) + -20 + 27 + 65?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8537, -34366, -77423, -137714, -215245?\n\"Answer: -w**3 - 8608*w**2 + 2*w + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2045627377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-2) - (14 - 1105\/78).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -107757 (base 13) to base 10\nAnswer: -387927","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8 (b) 0.3 (c) -0.3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 104279324497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2*z = -294, -z - 677 = 5*l + 46. What is the remainder when 36 is divided by l\/(-11) - (-6)\/(-33)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(45\/35)*2*(-1)\/35\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 265 a factor of 2302351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-42)*3*-1. Suppose -91*a - 640 = -731. Sort c, a, 0, -1\/2.\nAnswer: -1\/2, c, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7593902.\nAnswer: 2, 3796951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3116488835.\nAnswer: 5, 623297767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 2*h - 4, 0 = -2*y + 3 + 1. Calculate the highest common divisor of h and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 360351532 to the nearest integer?\nAnswer: 712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17655 and 328675110?\nAnswer: 1605","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/13996 and -11\/182.\nAnswer: 1273636","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ekeejeeeeejeeeeeejke. What is prob of picking 2 e?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -313347 by 2.\nAnswer: -313347\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13553654 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4b + 5?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -6 + 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (54\/(-36))\/((-69)\/(-92)). Let j = -2\/735 + -3637\/13965. Which is the second biggest value? (a) x (b) -1\/5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/10 + (-1180020)\/(-100) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 56814 + -29319. Suppose 84795 - f = -3*l. What is l rounded to the nearest 1000?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.93216 less than -0.03?\nAnswer: -0.96216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.028 - -0.628. Let m = -41 - -41.3. Which is the second biggest value? (a) -3 (b) -1\/3 (c) z (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4*k - 95 = 7*d, 0 = 3*k. Let r = d - -27. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 24, 108, 192, 276?\n\"Answer: 84*m - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2 - 2048*s + 3234994.\nAnswer: -2*(s - 859)*(s + 1883)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4*l**3 - 2*l**2 - 4*l - 3. Let s be w(-2). Does 3 divide s\/4 + 18\/24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -4*s**3 - 9300*s**2 - 5410272*s - 5400976 = 0.\nAnswer: -1162, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -543 - -381. Let y = x - -156. Let s(z) = z**2 + 5*z - 2. Give s(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 599 is divided by 42?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 11103212122331?\nAnswer: 11103212122322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -27, -23, -19, -15, -11?\n\"Answer: 4*c - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16058338013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67252?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-2)*3 - 1. Suppose 4*k + i*y - 4*y - 260 = 0, -332 = -5*k - y. Suppose -5*w = -4*j + 227 - k, j + 4*w = 14. Does 17 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2240579, -4481108, -6721637, -8962166?\n\"Answer: -2240529*p - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 13*b + 69. Let v be w(4). Which is bigger: 1\/15 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 3:27 PM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i + 60 = 4*i. Does 6 divide (8\/(-100)*i)\/(1\/175)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in four fifteenths of a minute?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*h**5 + 4*h**5 + h**2 - 7*h**5 wrt h.\nAnswer: -420*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 740547 by -3.\nAnswer: -246849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -109 + 109. Suppose -k + 4 = -j*u + u, 2*u - 4*k - 14 = 0. Solve 4 = 3*f - q, -4*f = f - u*q + 10 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 2*q + 2, -q = -5*q - 16. Let n be (16\/(-24))\/(c\/6). Solve x = -x + j + 2, -x - n = -2*j for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**3 - 57*z**2 + 215*z - 10. Calculate u(24).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 2, 62\/17, -0.24?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 15) + 9 + 14 + -30 + 19?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*f + 840 = 161*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 10 = 2*d. Let k be (-15)\/4*32\/d. Solve 3*m - i = -0*i + k, -5*i - 5 = 4*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -247 - 17*o - 255 + 502.\nAnswer: -17*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (((-1680)\/(-49))\/(-8))\/((-2)\/28). Suppose 2*i = -54 + c. What is the highest common factor of i and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 136 - 129. Suppose 2*u + 41 + p = 0. Is u greater than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -v - 5*v - 6*v as d + w*v and give w.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f + 4, 4*l + 12 = 3*f - 5*f for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21474207 or 21474201?\nAnswer: 21474207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qxxsqxxxss. Give prob of sequence sqx.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 5*z + 70 - 25 = 0, 3*b + z - 19 = 0. Let g be 8\/20 + (-99)\/(-15). Suppose 2 = -b*w + g. Put -4, w, -1 in decreasing order.\nAnswer: w, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 643 + -643.000277. What is v rounded to five dps?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) - (sqrt(152)\/(4*sqrt(8) + sqrt(8)))**2 - (sqrt(228)*1)\/sqrt(12).\nAnswer: -19\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/49 and 75\/(-6)*4\/84?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 2000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1008164 is divided by 4918?\nAnswer: 4892","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -18, -25, -40, -69, -118?\n\"Answer: -v**3 + 2*v**2 - 6*v - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 5*v - 52. Let o(w) = 15*w - 137. Let m(t) = -3*o(t) + 8*s(t). Let b(k) be the first derivative of -k**2\/2 - 5. Determine m(b(p)).\nAnswer: 5*p - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1731 and 5.8218.\nAnswer: 10077.5358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-73)\/((3 + -2)*-1). Suppose 20*k + 27 = -j. Let o(g) = 11*g**3 + 5*g**2 + 5*g. Let d(a) = 12*a**3 + 6*a**2 + 6*a. Calculate k*d(f) + 6*o(f).\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 95 and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32315347?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*o - 1 + 71*o**2 - 129*o**2 - 740*o**3 + 62*o**2 + 744*o**3 to t + c*o**2 + f*o**3 + w*o and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, 64, 91, 128?\nAnswer: 175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-74 - -83) + 2692 + 1. Calculate the highest common factor of m and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 9*f**2 - 9*f - 5. Let m = 219 + -27. Let d = m + -200. Determine r(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 798 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from ogogoxxooxxxo?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 7 = 4*r - 3*r, 3*j - 9 = r. Let v = 0.3 - 0.2. What is the nearest to -2\/3 in 0, v, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9518705 millilitres to litres.\nAnswer: 0.0009518705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -8*i + 8*d + 1 + 32, 3*i = d + 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 3*d - 3. Let m be q(-3). Let o be -24 + 26 + (163 - (0 + 0)). What is the highest common divisor of m and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 54\/(-378) - 58\/(-14). Solve c + h + 1 = 0, -j*c - 3*h = -8*h + 13 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -4.860560799\nAnswer: 9.860560799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -s**4\/54 - 2*s**3\/9 - 492*s. Solve r(m) = 0 for m.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**3 + 1565*j**2 - 1560*j.\nAnswer: -5*j*(j - 312)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 10:11 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14024 - 308461\/22. Let o = 6\/11 - k. What is the common denominator of o and 91\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1176, -4686, -10522, -18672, -29124?\n\"Answer: 2*v**3 - 1175*v**2 + v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*h + 456 = 63*h for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 582483?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -470*b**2 - 55*b - 55. Determine u(-1).\nAnswer: -470","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*u - 6*u + u)*(-3*u**2 - u**2 - u**2) to k*u**2 + q*u + s + c*u**3 and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 9, 2, 0 in descending order.\nAnswer: 9, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/2 or 1.766453?\nAnswer: 1.766453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 5*h. Let y be x(1). Let t be ((-555)\/(-148))\/((-6)\/(-16)). Let f = y + t. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b**2*d**2 + 71984*b**2 + 10970*b*d**4 wrt d.\nAnswer: -2*b**2*d + 43880*b*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1918.99960352 + -1919. Round v to five decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3707*k**5 + k**3 + 2*k**2 + 57*k - 55?\nAnswer: 74140*k**3 + 6*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1254857290 rounded to the nearest one million?\nAnswer: 1255000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2828\/16 - 3\/(-12)?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51 + 83*v**2 - 95 + 46 + 114*v**2 to s*v**2 + d + r*v and give s.\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21847016 and 4776?\nAnswer: 1592","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q, 0 = 5*n + 4*q + 34 + 1. Let k be (n\/(-2))\/(5\/(-2) + 3). Solve 2*i = k*i + 15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + -9)*(19334280\/(-7))\/12. What is o rounded to the nearest one hundred thousand?\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24 - 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 + 37. Calculate the common denominator of (2 + (-38)\/a)\/((-15)\/3) and 95\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2)*u\/((u\/(u\/u**4))\/u) assuming u is positive.\nAnswer: u**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + u + 7 = 0, -5*u + 3*u = -2*t - 2. Calculate the common denominator of (-232)\/96 + (t\/(-4))\/1 and 37\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*13719039.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-46*(-81)\/(-16767))\/(10\/3))\/((-1)\/279)\nAnswer: 93\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -28, -74, -138, -220?\nAnswer: -320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191 + 131 = 14*j. What is the remainder when 109 is divided by j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(110)*-1*5 - sqrt(110) - sqrt(110))\/(sqrt(10) - (-2*sqrt(120) + sqrt(120))\/sqrt(12)))**2*4.\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 660255.9 weeks in microseconds?\nAnswer: 399322768320000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133603 + 3177 = 35*n. List the prime factors of n.\nAnswer: 2, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 25304968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-b - 1 + 1)*(7 - 2 - 4) + 2 - b - 2 + 7 - 9 + 41*b + 45*b)*(9 - 9 + 6*b**3).\nAnswer: 504*b**4 - 12*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -104 - -115. Solve 0 = 4*x - 1 - q for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -417 + 420. Suppose -4650 = -5*w + 7*f - j*f, 4*f - 1888 = -2*w. What are the prime factors of w?\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 + 9*a**2 - 2*a**4 - 6 - 76*a**3 + 10*a - 7*a**2 + 78*a**3 in the form c*a**3 + m*a**4 + u + d*a + n*a**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + o)*(-3 + 3 - 2*o) - 2*o**2 + 10*o**2 - o**2.\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*r + 161*r = -1120 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15.6131 and -0.4.\nAnswer: 6.24524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 g, and 1 a when three letters picked without replacement from {o: 1, f: 1, a: 2, g: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 1693?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 11:49 AM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 11:34 AM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -25, -122 = 3*m - m - 4*v. Let n = m - -71. Calculate the smallest common multiple of 16 and n.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2007, -8040, -18071, -32082, -50055, -71972, -97815?\n\"Answer: 3*y**3 - 2017*y**2 - 3*y + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 5:46 AM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - t - 161 = 2*g, -3*t + 501 = 3*g. Is 5 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 16*n**2 + 2*n + 4. Let q be 5 - (-3 - -2 - -1). Does 35 divide b(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12407360 (base 9) to base 2\nAnswer: 10111001110001100010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20 + -16 - (-1300)\/(-14). Let b = f + 89. Put -0.4, b, -0.08 in decreasing order.\nAnswer: b, -0.08, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, r: 7, z: 2, g: 1, d: 5}. Give prob of sequence zr.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (57\/(-12) - -1)\/3. Which is the second smallest value? (a) t (b) -2\/3 (c) 0.1 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -82 - -120. Suppose -n = -5*t - 0*n + f, -3*t + 14 = -5*n. Let d(p) = -9 - 5*p + 1 + 4 - t*p. Let r(x) = 7*x + 2. Determine 6*d(l) + 11*r(l).\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/3 and 49\/101610.\nAnswer: 101610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 8*n**2 + 46*n + 5. Is a(-7) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3157\/5166)\/(4\/(-48)*(-16)\/3).\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 189*n - 3. Let h(c) = 94*c - 1. Let w(y) = 9*h(y) - 4*p(y). Let g be w(7). Let v = 1154 - g. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-2)\/(-39))\/((-11)\/880*4) and -82\/195.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -2*o**3\/3 + 126. Let i be (-2)\/3 - (-138)\/18. Let b(k) = -i*k - 4*k - 3*k. Give w(b(n)).\nAnswer: -392*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h - 7. Let s be t(-2). Suppose -2*x + 6 = -4*x. Sort x, s, -9 in descending order.\nAnswer: x, s, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54598*l**2 - 3*l**3 - 54598*l**2.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247556942 is divided by 1192?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, d: 3, p: 1}. What is prob of sequence dpd?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/((-5)\/30) - 4. Factor 2*b**2 + i*b - 3*b**2 + 9 - 9.\nAnswer: -b*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + -9 + -28 + 68?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10460, 0.2, -1\/3 in increasing order.\nAnswer: -1\/3, 0.2, 10460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17180.1221 + 17180. Sort r, 5\/2, 2.\nAnswer: r, 2, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = d + 4*d - 26, -32 - 11 = 18*g - 5*d for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, 16610, 216 in increasing order.\nAnswer: -0.05, 216, 16610","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {f: 5, n: 13}?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.17 (b) 12\/1063 (c) 0.7 (d) -1\/4 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2804\/15 or 0.042?\nAnswer: 2804\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, -3, -34, -97, -204, -367?\nAnswer: -598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 5\/15)\/((-1560)\/(-702))?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l - 2. Suppose 0 = -7*r - 13 - 1. Let j(x) = x**2 + x + 1. Let f be 2\/(-2)*(1 - 0). Give f*o(b) + r*j(b).\nAnswer: -2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12424, 24680, 36878, 49018?\nAnswer: 61100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -15*(4654\/1092 + (-7)\/(-98))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0509 times -99.34\nAnswer: 5.056406","meta":{"dup_signals":{},"source":"arithmetic__mul_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: Let n = -125 - -499\/4. Which is the nearest to -3\/43? (a) -5 (b) -2\/5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1616 + -1631. Let g(h) = -h**2 - 15*h + 4. Suppose 3*k - 45 + 12 = 0. Calculate the remainder when k is divided by g(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 10)*(-37 + 37 + 7*b + (-3*b + 4*b - 2*b)*(-1 - 2 + 4) + 5*b - 2*b + 0*b).\nAnswer: 54*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 179*q + 177*q + 768 = 0, 0 = -3*y + 4*q + 1110. Does 27 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.00173 - -0.4.\nAnswer: 0.40173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -568*a - 15319. Determine w(-27).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/18 + (-29)\/(-9). Suppose -h - 7 = -z*n, 1 = h - 4*n + 13. Solve 0 = 2*o - h - 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 13) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 106110\/77839 and 2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 209.9 and 4665?\nAnswer: 979183.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.056675 - -28.2032.\nAnswer: 28.259875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-35)\/84)\/(-5 - (-42)\/8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x. Let y(u) = -11*u**2 + 2*u**2 + 5*u**2. What is k(y(s))?\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2099444.7 months?\nAnswer: 1749.53725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2*(-2)\/10)\/(-2). Let i = 0.06 - 0.46. Let z = 0.5 + i. Which is the nearest to 0.1? (a) z (b) 2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 6 + -2 + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 10*k**2 + 8*k - 8. Let i be w(1). Put i, 5, 4, -1 in increasing order.\nAnswer: -1, 4, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + 42.10716416.\nAnswer: 41.60716416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = -1 + 271. Let r = 10 + x. What is the remainder when r is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-63)\/(-49) - 1)\/(17\/(595\/(-125)))?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-65)\/2)\/((-51)\/238). Let h = 5870\/39 - t. Let l = -3\/65 + h. Sort -0.2, 3, l in decreasing order.\nAnswer: 3, -0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-6)*-2*15\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 13\/5 of a gram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 2:36 AM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 - -12. Let t be (f\/(-4))\/1*0. Suppose t = 4*m - 5*n - 355, 0 = -4*m + 3*n + 80 + 269. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1018*x**2 + 1738*x**2 - 779*x**2 + 3 - 2388*x**2 as c*x**2 + u + w*x and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 6 = 5855*m - 5857*m, z - 2*m - 6 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -811 - -813. Which is the closest to 1\/4? (a) -22 (b) -1 (c) -0.1 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 9, o: 2, s: 1, l: 4}. What is prob of sequence fofo?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u**3 - 3*u**3 - 3*u - 45*u**4 + u + 15*u**3 - 7*u**3 - 2*u**2 in the form i*u**3 + j + g*u**4 + d*u**2 + w*u and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 55*u**2 + 3. Let y(k) = 219*k**2 + 13. Let p(s) = 9*d(s) - 2*y(s). Let w be p(-1). Let a be 12\/4 + (w - 0). Round a to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (-2 - -42 - (-5 + 17)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 446946 and 7824?\nAnswer: 978","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24 + -19)*4\/(-110)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1880928197 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 12. Solve -2*w - o = 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3094 and 14977.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8430796, -8430798, -8430800, -8430802?\n\"Answer: -2*k - 8430794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -40, -2, 153 in decreasing order.\nAnswer: 153, 5, -2, -5, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 e when two letters picked without replacement from pkkpqekpkokpkqpkk?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + u + 2. Let g = 16 - 0. Let d = 12 - g. Calculate q(d).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3750279 and 520?\nAnswer: 150011160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, a: 4}. Give prob of sequence ww.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 5) to base 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6706\/8859903 - -95016478069\/56526181140. Let v = -1\/7540 - h. Let n = -11787\/4 + 2969. Find the common denominator of n and v.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170691 is divided by 83991?\nAnswer: 2709","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 562 + -247. What are the prime factors of g?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-14))\/((-29)\/406).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 31*i - 14*i - 4*i**3 + 2*i**2 - 15*i. Let m(f) = f**3 - f**2 - f. Suppose -5*j - 12 = -2*u, 0*u + u - 11 = 5*j. Calculate u*k(d) + 3*m(d).\nAnswer: -d**3 - d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -79, 0, 1 in decreasing order.\nAnswer: 1, 0, -4, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -95*m. Calculate the remainder when 1133 is divided by t(-1).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 6. Suppose 0 = -5*b - 3*j + 140, -4*b - 4*j + 24 = -96. Suppose 3*y - 5 = 4*g - b, 12 = g + y. Calculate the least common multiple of g and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {r: 3, d: 1, v: 1, l: 4, y: 2, e: 1}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d**(7\/4)\/d)\/d**(-13))**(3\/8))**23)**(-7) assuming d is positive.\nAnswer: d**(-26565\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110903906512 - -0.03.\nAnswer: -110903906511.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -546 = 113*b - 152*b for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.098545 to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -157*c**5 + 461*c**4 - 461*c**4 + (-c - 2*c**2 + c)*(-14*c + 14*c - 2*c**3) - 2*c**4 + c**5 + 2*c**4 - c**5 - 2*c**5 + c**5.\nAnswer: -154*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -91, -181, -271, -361, -451?\n\"Answer: -90*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*o**4 - 15*o**2 + 12*o + 24?\nAnswer: 96*o**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12.5207 - -15217.\nAnswer: 15204.4793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12070 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 4)*(0 + 3*a + 0) - 70 + 70 + 18*a.\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-29)\/(-9) + 6\/(-27). Let x = 12 - g. Solve -z - 4*y + 7 = -x, -12 = 5*z - 3*y for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1192027 is divided by 238396.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**2 - 4*l**2 + 2*l**2)*(-5 + 3 + 4) - 3*l + 3*l + 8*l**2.\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (930\/80 + (-23)\/184)*-6.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 10)*(-k**2 + 7*k**2 - 8*k**2 + (0 + 3 - 2)*(-3*k**2 + k**2 + k**2) + 0 + 0 - 2*k**2 - 2*k**2 - 2 + 2 - 3*k**2 - 4*k + 4*k).\nAnswer: 110*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -838156 + -0.01682\nAnswer: -838156.01682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1565, 6265, 14097, 25061, 39157?\n\"Answer: 1566*w**2 + 2*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of 2 - 5\/3*r**3 + 0*r**2 + 0*r. Let h(j) = -2*j**2. What is d(h(w))?\nAnswer: -20*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - ((-44982)\/6237)\/(4\/6) - (-18)\/(-2).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (32\/56)\/(3\/42). Solve -g - 5*f = -2*g + y, -4*f = 4 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - 7*y + 5. Let k be s(7). Suppose 5*h = 14 + 1. Let t = k - h. Which is the third biggest value? (a) 0.1 (b) -4\/3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*d**3*f**2 - 1258*d**3 + 44*d*f**4 wrt f.\nAnswer: 6*d**3*f + 176*d*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 528813734 to the power of 1\/2, to the nearest integer?\nAnswer: 22996","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 720 + -719.9. Which is the nearest to u? (a) 2 (b) -0.08 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -158 divided by 882.\nAnswer: -79\/441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 444 and 32782.\nAnswer: 196692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a century?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**5 - x**2 - x - 1. Let l(m) = 10*m**5 + 3*m**2 - 68*m + 3. Let n(h) = -l(h) - 3*z(h). Find the second derivative of n(o) wrt o.\nAnswer: -320*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 37*k + 4. Let o be j(4). Suppose -8*a + o = -4*a. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1762707611?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 273*m + 4917. Let g be v(-18). What is the fifth biggest value in 0, g, 2\/11, -40, -3?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/13 not equal to 5641?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 274345?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -413*l + 467*l = 54. Put l, -3, 67, 6 in descending order.\nAnswer: 67, 6, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11104\/(-50130) + (-8)\/(-36). Let p = y - -242291\/5570. Calculate the common denominator of -109\/18 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/22 and 59\/1580.\nAnswer: 17380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -76 + 79. Let q = i + 0. Factor 1\/2*d + 0*d**2 - 1\/2*d**q + 0.\nAnswer: -d*(d - 1)*(d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of 53*f**6\/3 + 41*f**3\/3 + 76. Find the third derivative of y(l) wrt l.\nAnswer: 6360*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9430898.\nAnswer: 2, 109, 43261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 881683*f - 321945 wrt f?\nAnswer: 881683","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 0*i + 5. Let g be 4 - ((-1)\/(-1))\/i. Suppose 0 = -0*v - g*v. What is the third smallest value in v, -1, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4*q = -3836, 3*i - 7*q - 11476 = -3*q. What is the thousands digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-4 - 1) + (-3 - -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -202, -738, -1630, -2872, -4458?\n\"Answer: x**3 - 184*x**2 + 9*x - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -16259*k + 32548. Calculate f(2).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 24 or 1\/5?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 7*t**2 + 9*t + 9. Let y be (-4)\/(-14) - 132\/21. Give v(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4 - 6 = 0. Let z(k) = -5*k - b*k - 3*k - 2*k. Let c(s) = -2*s**2. What is z(c(w))?\nAnswer: 30*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11 - -25001716?\nAnswer: 25001727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-964)\/(-21) + 10\/105 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129 minus -0.2?\nAnswer: 129.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 357173665 and 355?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + g = -2*z + 15, -10 = z + 3*g. Which is the third smallest value? (a) -2 (b) 2\/11 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1025124 + 1025096 - 5*l**2 + 11*l + 0*l**2 to the form c + s*l + n*l**2 and give s.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - 136\/(-10))*15910\/(-516)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0561 times 0.4?\nAnswer: 0.02244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/3)\/t)**(-4\/3)*(t*(t\/(t\/(t*t*t**(-1\/3))))\/t)**(-13) assuming t is positive.\nAnswer: t**(-191\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3196960 from 1.\nAnswer: -3196959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o - 5*s - 35, 75*o - 73*o - 2*s - 2 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98093.03ml to litres.\nAnswer: 98.09303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -93 in 25, 1\/12, 0.5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*o + 270 = -54 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.358 - -0.068. Let g = k - 0.01. Let t = 0.002 - 2.002. Which is the nearest to -1? (a) g (b) -1\/5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 4*j, -24 = -2*p - 0*j - 4*j. Let y be ((-80)\/(-50))\/(p\/90). Round y to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*j - 729 - 739 = -476 for j.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -965692, -1931243, -2896780, -3862297, -4827788, -5793247?\nAnswer: -6758668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(4\/(-14))*-9. Let j = h - -817\/13. Which is smaller: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/11201 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 v, and 1 g when three letters picked without replacement from {u: 2, g: 1, v: 1, m: 7, q: 3, l: 3}?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -41, -47, -53?\n\"Answer: -6*c - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.08 - 2.08. Let f = -2.2 - l. Let w be 2*(-1 - 0) - 0. What is the nearest to w in -2, -0.4, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 - -22.1. Let h = -2 - a. Is -0.1 >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -93219 - 119?\nAnswer: -93337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*g + 11*g - 2 + 3*g - 10*g to the form k*g + n and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j**(2\/5))**(-41))**6)**44)**(2\/103) assuming j is positive.\nAnswer: j**(-43296\/515)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-8)*4*6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xjdct. What is prob of sequence dtjc?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 823 divide 125712100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-42)\/(-56) + 5\/4. Suppose -3*z + 96 = -2*a, 8*z - 144 = 3*z - g*a. Calculate the remainder when (132\/15)\/(32\/320) is divided by z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9399 is divided by 362.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 225304*h**3 - 3*h - 683099 wrt h?\nAnswer: 1351824*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38\/35 at most -276\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.06 + -0.02. Round l to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 0.713039 weeks?\nAnswer: 4.991273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 101 = -3*d, -2*n - d + 100 = d. Let a = 35 - n. Let j = a + 83. What is the remainder when j is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -3, 1813, 11, 4 in descending order.\nAnswer: 1813, 11, 4, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 392 + 21a760?\nAnswer: 21ab22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d - 3*d + 3. Suppose -q = -6 + d. What is the lowest common multiple of 29 and q?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 - 2*j**2 + 5*j**2)*(158*j - 216*j - 180*j).\nAnswer: -238*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -328, -372, -416, -460, -504?\n\"Answer: -44*r - 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - 5*a + 2. Let w be f(6). Suppose b + 4*c - 93 = 0, 369 = -3*b + w*b - 4*c. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/14)\/(288\/(-56) - -6). Let p = 0.1176 - -1.4824. Which is the smallest value? (a) 0 (b) p (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from exdtcbdceetxecxx. Give prob of picking 1 c and 1 e.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by ((-6)\/(-4))\/(45\/54)*15.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20854?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 91*g + 135*g + 678. Put g, 9, -592 in descending order.\nAnswer: 9, g, -592","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9554351099.45 less than -10?\nAnswer: -9554351109.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - (-2 - 14\/(-6)). Let q = 1.7 + 2.4. Let z = q + -4. Which is the biggest value? (a) -2\/7 (b) z (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -10. Let g(y) = -11*y + 27. Let f(n) = -17*n + 41. Let x(w) = -5*f(w) + 8*g(w). Let l(c) = c - 4*c + c + 7. What is d*l(m) - 5*x(m)?\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 532*n + 56. Let p = 2182 + -2238. Let t(y) = 28*y + 3. Determine p*t(x) + 3*i(x).\nAnswer: 28*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/18)\/(8\/(-18)). What is the nearest to u in -0.5, 1\/7, 3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1862600 + 1853822 = -114*b for b.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -234 - -437. Let b = -1018\/5 + s. Let o be (-1)\/(-6) + (-36)\/(-432). Sort b, 0.04, -3\/7, o.\nAnswer: b, -3\/7, 0.04, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*w + 0*w + 0*w)*(-3 + 3 - 2*w) + 483*w - 484*w + 31 + 315*w**2 + 878*w**2 + 920*w**2 to the form p*w + h*w**2 + l and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 239*q**2 - 69*q + 2. Let f(k) = 238*k**2 - 69*k + 3. Let z(l) = -2*f(l) + 3*g(l). Find the second derivative of z(b) wrt b.\nAnswer: 482","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -11, 1, 7 in ascending order.\nAnswer: -11, -7, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 48700, 99270, 149840, 200410, 250980?\n\"Answer: 50570*p - 1870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.026299256 rounded to four decimal places?\nAnswer: 0.0263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 12:47 PM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 96*i + 416. Does 104 divide c(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18.98 - 0.98. Let q = a + -17.5. What is the third biggest value in q, -2\/3, 0.07?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 137*t**3 - 6*t**2 - 3*t + 3. Let p be (-6 - (5 - 11)) + 5. Is k(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -10905, -1\/24, 1, 4?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(132)*2 - sqrt(132))*2)\/(sqrt(48)*-2))**2.\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 17, 4, -17 in decreasing order.\nAnswer: 17, 10, 4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - b - 25 + 4*b - b.\nAnswer: 2*b - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 5*t = -176, -2*g + 4*t = -g - 53. Suppose -2*o = -5*i - 38 - 58, -140 = -4*o - 3*i. What is the greatest common divisor of o and g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4, -1\/5, -0.095, -666?\nAnswer: -0.095","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j**2 - 5 + 5)*(1 + 5 - 4)*(12 + 6*j**2 - 12) to o + i*j + b*j**4 + v*j**2 + y*j**3 and give b.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -106*c**2*f**3 - 577*c**2*f + 2*f**4 wrt f?\nAnswer: -636*c**2*f + 24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-six fifths of a microgram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26.6 + 27. Suppose -2*g + 10 = 2*h, 2*g - 6*g = 2*h - 10. Let v = 3 - h. What is the second smallest value in v, 5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 1 = -0*u. Let d = 3.622 - 0.622. What is the nearest to u in 0, 6, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 12*q**2 + 3. Let w be d(12). Solve 0*z = z - w for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -4*t + 5*t - 160 + 160. Let b(j) = -2*j + 3 - 3. Let l(h) = -b(h) - u(h). What is l(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8641259 to the power of 1\/2, to the nearest integer?\nAnswer: 2940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 5 - 21. Let q be 0\/(((-18)\/(-2))\/(-3)). Suppose 4*d = -16, q = -3*g - 2*d - d + 9. What is the remainder when g is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -5*f**2 - 44*f + 12. Determine d(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 338*v**4 - 5616*v**3 + 24992*v**2 - 13824*v + 2048 = 0?\nAnswer: 4\/13, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 471335515 to the power of 1\/3, to the nearest integer?\nAnswer: 778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 27*q - 55 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 + 4*b + 2. Let j be l(-4). Suppose 5*v - 143 = -4*r, j*r = 5 - 1. Suppose 2*c + c = v. Is 4 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 133722 and 136.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -174 + 3 + 214 + 16 + 2 + 3\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*x**2 + 131 + 159*x**2 - 131 + 5*x**2.\nAnswer: 222*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is 450864300 rounded to the nearest 1000000?\nAnswer: 451000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000005263 rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i. Let x(m) be the second derivative of -m**4\/6 - 7*m. Give r(x(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 + 4880\/(-416))*(-24)\/14.\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)*3 + sqrt(152))\/sqrt(8)*3.\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/4)\/((-5)\/(-6)). Let s(w) = w**2 - 4*w + 5. Let u be s(4). Let q = 0.55 - 0.55. Which is the biggest value? (a) q (b) u (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 6*k**2 + k - 4. Let q be y(6). Let s = -6614 + 6617. Solve -u - 3*z = q, -s*u + z = -u - 10 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14\/5438981 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m + 5*m - m**2 - 6*m. Let r(w) = 148*w - 15. Let f be r(8). Let c(a) = 35*a + f - 1169. Calculate p(c(g)).\nAnswer: -1225*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13264919?\nAnswer: 29, 457411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3837, -3838, -3839, -3840, -3841?\n\"Answer: -c - 3836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 992211 is divided by 795?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**2 + 2719*v - 16278 = 0.\nAnswer: 6, 2713","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 7*b - 2*t = 6, 2*b = -3*t + 10. Suppose 3*m - 2*w = -2184, -b*m - 3*w - 1456 = -6*w. Let o be (-296)\/m - 1*6\/14. Which is greater: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25723\/(-823136)*4*14\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -24\/883?\nAnswer: -24\/883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 5*h + 11 = 1, 2*a - 2*h - 14 = 0. Let c = 1 - -11. Suppose 0 = 10*t - c*t + 20. Solve -5 = a*q + t for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/1 - -4 - (24 + -14).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of 9\/5*w**2 + 0 + 1\/2*w**3 + 137*w + 1\/20*w**4. Factor x(f).\nAnswer: 3*(f + 2)*(f + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1209.8 and -0.04?\nAnswer: -48.392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v*v\/(v**(-1)\/v)))**(-27)*v**(-1\/7)*v**3 assuming v is positive.\nAnswer: v**(398\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5759, -22804, -51135, -90752, -141655, -203844?\nAnswer: -277319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1350712 and 859544?\nAnswer: 9454984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(3400))\/(sqrt(8)\/sqrt(64)).\nAnswer: 120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 2620220242?\nAnswer: 2620220236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66276260.\nAnswer: 2, 5, 79, 41947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6572996 and 572284.\nAnswer: 3308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13382*f + 67 = 13388*f - i, 0 = 2*f - i - 23 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -45308, -45316, -45332, -45362, -45412?\n\"Answer: -q**3 + 2*q**2 - 7*q - 45302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 10:44 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5 + -2)*(-8)\/(-3). Solve y = n - 5*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - x - 3. Let g be t(0). Let w = 7 - g. Suppose -f - 4 = -5*v, -f - v = 2 - w. Calculate the greatest common factor of f and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 284.7238 days to seconds.\nAnswer: 24600136.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 40\/7 (b) 32 (c) 0.5 (d) 0.1 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 4*p + 6. What is the least common multiple of 22 and f(-4)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010110001101110 (base 2) in base 5?\nAnswer: 2403032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 3 = -i. Let q(w) = -6 + 5 + 4*w - 6*w**2 - 3*w - 3*w**i. What is q(1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2130210 divided by -3.\nAnswer: 710070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7755985*u**2 + 2561045*u**2 - 3080016*u**2.\nAnswer: -8274956*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/10*(-212)\/(-318))\/((-25)\/875).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*16.46\nAnswer: -3.292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0\/((k\/(k\/(k*k\/k**43*k)*k))\/k*k))\/(k**(10\/9))**13 assuming k is positive.\nAnswer: k**(239\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2455*y**2 - 6 - 27*y + 2432*y**2 + 21*y. Let n(z) = -437*z**2 - 115*z - 115. Give -6*n(d) + 115*v(d).\nAnswer: -23*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 365.3 - 366.3. Let q(k) = k - 2. Let m = -11 - -18. Let x be q(m). Which is the nearest to -2? (a) x (b) -0.2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6104 and 557256.\nAnswer: 60740904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -3*r**2 - 4*r. Let w be (8 - 12)*(-2)\/4. Let j(x) = 3*x + x**2 - 4*x + 2*x. Determine w*p(m) + 7*j(m).\nAnswer: m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 - 20 = -v. Let x = v + -17. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35\/2 - 18. Let z(j) = -j**2 - 6*j - 10. Let d(w) = w**2 + 13*w + 19. Let k be d(-11). Let x be z(k). Is u < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q**(-4)\/q))\/q)\/q*q**(2\/27))\/(q*(q**8\/q)\/q)**(-1\/37) assuming q is positive.\nAnswer: q**(4259\/999)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 11) to base 9.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 321 - 318. Suppose y + 0*d - 5*d = 35, -5*y + 5*d = -135. Calculate the remainder when y is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a minute in seconds?\nAnswer: 396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (8 - 4 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -3, -0.2, -6.0161, -5\/3, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5358 - 78038 = -8*k. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 5*k - 18, 0 = -5*c - 4*k + k - 14. Sort c, 1, 5.\nAnswer: c, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 12 + 3. Let f be 0 + (-1 - j) + -3. Let h = 1.7847 - -0.2153. Put h, -5, f in increasing order.\nAnswer: -5, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -42 in 4, -3, -3\/11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -234 - 15*i + 89 + 30*i. Determine h(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 12 = 4*i, 5*w - 21 = -0*w + i. Suppose 3*s + 4*u = 0, -s - 4*u = 3*s - w. Which is bigger: -3\/2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o + 15707 - 18527 + 2823.\nAnswer: 2*o + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 8*j**2 + 4*j - 9. Let k be s(-7). Let h(l) be the first derivative of l**3\/3 - 4*l**2 + 5*l + 2. Is h(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 12:32 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -825*v - 819*v + 25 - 25.\nAnswer: -1644*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t - 2. Calculate the remainder when 60 is divided by i(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w + 2. Let j be n(0). Let y = -6 + 6.1. What is the closest to y in j, -0.5, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1006 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*p - 8054 = -512 + 606 for p.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -18*q + 2. Let o(l) = -l. Let a = -11117 - -11115. What is a*o(d) + r(d)?\nAnswer: -16*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 2*t + 3*t**2)*(4*t - 4*t + t**3) + 41*t**5 + 21*t**5 - 309*t**5.\nAnswer: -244*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4036540?\nAnswer: 2, 5, 201827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b - 3*b - 15516484 + 15516484 + 4*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - sqrt(132)*1)\/sqrt(6))\/(2*sqrt(539)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-330792)\/(-378) - 64\/(-72) is divided by 35?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15629*z**3 - 2*z**2 + 25994 wrt z?\nAnswer: 46887*z**2 - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 (base 8) in base 2?\nAnswer: 101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 544679 divided by 2\nAnswer: 544679\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -115*t**2 - 3312*t + 685. Determine v(-29).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1644*p + 7698 = 73197 - 1993 + 48286 for p.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*i + 635 - 689 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(6\/(-5*6)). Solve 5*j - 25 = -h*r, 4*j = r + 8 - 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -529*s**2*v**3 + 3*s**2*v**2 + 35*s**2*v - 2*s**2 - 188*s*v**2 + 252538*v**4 + 90*v wrt v?\nAnswer: -3174*s**2 + 6060912*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-25)\/(-10))\/((-81)\/108 + (-13)\/4) and 37\/2452.\nAnswer: 4904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12485 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.0528023 centuries?\nAnswer: 0.528023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q + 2*q - 298*q**2 + 90*q**2 + 49*q**2.\nAnswer: -159*q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/9)\/(6\/9). Suppose c*f = 5*f. Suppose f*u = -5*u + 95. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.01, -18100.3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2*q + 7*q - 50 = 0, -5*w = -3*q - 94. Let y = 28 - w. Suppose 3 = -t + y. Solve -4*r - r + t = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, -1\/2, -1, 2\/7, -1032318?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**2 + 22*q - 23. Let x be r(9). Suppose x*w + 6 = 16*w. Suppose 3*i = -2*i + 5*s + 375, -5*i = w*s - 340. List the prime factors of i.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -6*v**2. Let q(l) = l**2 + 130*l - 130*l. Give q(s(d)).\nAnswer: 36*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2530113 (base 6) to base 16\nAnswer: 213bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 454, 4 in decreasing order.\nAnswer: 454, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4681 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20318 + 42998. Is 105 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -3*d - 1, -2*d + 6 + 6 = 5*s. What is the first derivative of 29*x**2 + 7*x - x + 1 + s - 5*x wrt x?\nAnswer: 58*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -122 divided by -122?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/19201 and -6\/4303.\nAnswer: 6355531","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) -49 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3a756 + 3?\nAnswer: 3a759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-14 + (-8 + -2 + 5 - -5)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*a**3 - 2 - 2*a**4 + 17*a**3 - a**4 - 10*a**3 to k*a**3 + z*a**2 + q*a**4 + y*a + n and give k.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5170, 10372, 15574?\n\"Answer: 5202*h - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + 2*r - 1. Let v be u(-3). Suppose 0 = -f + 4*g + 2, 4 = 2*f + v*g - 7*g. Suppose -f*c - 4*p = -82, 0 = c - 4*p - 3 - 32. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57780\/7 - 8254. Let z = -3 - -7\/2. What is the nearest to 1 in z, 4, 5, d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3 + 21\/(-9))\/(78\/488358).\nAnswer: 2, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48 times -0.84\nAnswer: -40.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 11:35 PM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 1, 2, 3, 4, 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 453*b**3*q**5 + 5*b**3 - 22*b*q**2 - 3*q**3 wrt q.\nAnswer: 27180*b**3*q**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 197748 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17657 - 17652. Solve 25*r = -j + 29*r + 12, 5*r = l*j - 15 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -149, -148, -147, -146?\n\"Answer: t - 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3006748009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 11:13 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -7*n + 7. Let a be t(-3). Let w be (9\/21)\/((-40)\/a). Sort 4\/3, w, -5 in decreasing order.\nAnswer: 4\/3, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - -25)\/(((-20)\/(-38))\/5). Let a = t - 266. Let y = 9 - 6. Solve -y*z + z + 6 = a for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3125561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, 5 in increasing order.\nAnswer: 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 + -3)\/8*11. Let t = -4 - -6. Let q be (t\/x - (-217)\/(-77))\/(-3). Which is smaller: -3\/8 or q?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 1:26 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70659072 to the nearest integer?\nAnswer: 8406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**3 + 242*y + 1267*y + y**3 - 46*y.\nAnswer: 2*y**3 + 1463*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 190 - -826. Let f = r + -723. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 12:35 AM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.53904 and 2.3.\nAnswer: -1.239792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 120, 111, 96, 75, 48, 15?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h - 1. Let g = -191 - -193. What is j(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 18 + -7 - -24 - -4?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 132 = 2*r. Calculate the highest common divisor of r and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/1625820 and -187\/165900?\nAnswer: 8129100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)\/((sqrt(24)*1)\/sqrt(12)))\/(sqrt(120)\/((sqrt(100)*-1)\/sqrt(10))))**2*4.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/7)\/((-20)\/70).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of x**6\/120 + x**5\/30 + x**4\/24 + x**3\/3 - 3*x**2. Let g be h(-2). Factor -2*o - o**3 + 2*o + g*o - o**2.\nAnswer: -o**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aiiaaa. What is prob of picking 2 i?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/4))**9\/(s**(-1\/4)*s*s*s*s\/s**(-1\/10)*s*s) assuming s is positive.\nAnswer: s**(-81\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4722 - -6749. What are the prime factors of t?\nAnswer: 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 102597970?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-84)\/980*3*(-21)\/(-18).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 779217, 1558426, 2337609, 3116754, 3895849?\nAnswer: 4674882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 3 = 5*y, -3*p - 2*y + 5 = 0. Suppose -2*s - 4*t + 0*t = 0, -p*t = -s. Solve s + 2\/5*g**2 + 4\/5*g = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - -6. Let y = x - 14. Suppose 5*w = y*w + 38. Solve -6*s + z = -s - 5, -2*s = 3*z - w for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -4*i**2. Let o(m) = -5*m + 3. Let x(f) = 6*f - 4. Let r be (-3)\/5 + 69\/15. Let a(u) = r*o(u) + 3*x(u). Calculate v(a(l)).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -3. Let y = -487 + 487. Solve -4*p = -y*p - 5*w - 2, p - 8 = m*w for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12111 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 0 - 564\/(-270). Let l be (-72)\/(-30) + 2\/(-5) - 2. Which is bigger: q or l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 190*j**3 - j**2 - 8*j + 7. Let t(w) = -96*w**3 + 4*w - 3. Let q(u) = 3*d(u) + 7*t(u). Find the third derivative of q(y) wrt y.\nAnswer: -612","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -132 (base 4) in base 14?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-92*r**2 + 41*r**2 + 32*r**2)*(-5*r + 0*r + r + (-r + 2*r + r)*(-3 + 2 - 1) + 16*r - 53*r - 47*r) to b*r**3 + k + d*r + j*r**2 and give b.\nAnswer: 1748","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 334.0566 months to decades.\nAnswer: 2.783805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8689229?\nAnswer: 593, 14653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2896 and -0.4.\nAnswer: -0.11584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/153 and 56\/51?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that o**2\/6 - 83*o\/3 - 167\/6 = 0.\nAnswer: -1, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -16*j - 1339. Give y(-77).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22 - -21) + -20 - -31.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 141439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -15400.3 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2023 - 2013. Which is the second biggest value? (a) -5 (b) -1 (c) p (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and 194.9037?\nAnswer: 195.0037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 5*b + 8. Let d(t) = -3*t + 6. Let q(o) = 2*o - 3. Let n(c) = 4*d(c) + 7*q(c). Suppose 0*w = 5*w - 5. Let s be -22*((-3)\/6)\/w. Give s*n(k) - 4*f(k).\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -417, -571, -829, -1191, -1657, -2227, -2901?\nAnswer: -3679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/8)\/((4\/2)\/4). Which is the closest to -3? (a) -3\/2 (b) 2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((45\/5)\/9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -346, -124.4, 3?\nAnswer: -124.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 154427 and 117.\nAnswer: 1389843","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 3 = 2*x + t, 5*t = x - 19. Suppose -5*k + k = 8, -2*j - k = -x. Solve -4*s = 2*g + 7 + 9, 3*g - j*s = -6 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 9:55 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 13144?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 4*p + 5*b, -5*b - 8 + 4 = 3*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 412 - 410.93. Let g = 1.93 + y. What is the third smallest value in 21\/4, -1, g?\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 743 (base 13) to base 6.\nAnswer: 5422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49032484.\nAnswer: 2, 12258121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 59479 * 0.24.\nAnswer: 14274.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 1:38 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*l + 92 = 4*z, 3403*z + 5*l + 28 = 3402*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1122743, 1122745, 1122747, 1122749?\nAnswer: 1122751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*m**3 - 166*m**3 - 158*m**3 + 433*m**3.\nAnswer: -26*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -438448157*f**5 - 117981465*f.\nAnswer: -8768963140*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/14*(-217)\/(-124).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5668 (base 10) to base 15.\nAnswer: 1a2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -3*b**2 - 26*b - 16 = 0.\nAnswer: -8, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-18) + 222\/270. Let d be 350\/(-15) + 1\/1. Let x = d - -269\/12. What is the third biggest value in -4, c, x?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -82 - -39. Let s = -40 - g. Suppose -s*w + 4181 = -2*q, -2*w = 3*w - 2*q - 6967. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -13*j + 1493. Let w(h) = -22*h + 2488. Calculate 12*b(r) - 7*w(r).\nAnswer: -2*r + 500","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -34, 1, -0.2, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i**2*j*n*t - 2190*i**2*n*t + 2*i*j*n*t - 639*i*j*t + i*j + 2*i*t - j*n*t - 2*n wrt i?\nAnswer: 2*j*n*t - 4380*n*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 764*b = -3731 - 27593 for b.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 952.374 grams in kilograms?\nAnswer: 0.952374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-432)\/2)\/(-12) - (-26 - -13)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10 (b) -3 (c) -98\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1 - 3 + 4 - 2 + (0 + 1 - 2)*(-6 + 3 + 1) - 3 + 3 + 1)*(-j**4 + 3*j**4 + 8*j**4).\nAnswer: 10*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 320 = -s. Let r = s + 171. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-3)*c\/(c*c\/c**(2\/13))*c)\/(c\/c**1*c*c**(-2)))\/(c**5*c*c**2*c**(-2\/5)\/(c**(-2\/3)\/c)) assuming c is positive.\nAnswer: c**(-2167\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*n**4 + 127 - 127 + (163*n - 3*n**2 - 163*n)*(-n + 4*n - 2*n)*(-n + 1 - 1) - 3*n**4 + 2*n**4 - n**4.\nAnswer: 8*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, -34, -102, -170, -220, -234?\nAnswer: -194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 16 = 12. Let w be y\/(-4) + 2070\/(-12). Round w to the nearest 10.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39 - -74. Let p = -24 + z. Let f = p + -10.9994. What is f rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2953912902?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3036 + 3023 + ((0 - 2 - -5) + -4 - -105).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/130592 and -53\/2016?\nAnswer: 1175328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - (-7 - 792) - -6. Suppose -2*i = 38*v - 34*v - 654, i = 5*v - u. Is 27 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21216 and 306.\nAnswer: 63648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62702 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 30*d - 35*d - 45645, -11*u + 5*d = -100455. What is u rounded to the nearest one hundred?\nAnswer: 9100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -5*x**3 - x**2. Let y(h) = 3*h**2 - 2*h + 1. Let d be y(2). Suppose 3*g + g = -3*j + d, 4*g - 15 = 3*j. Give w(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**2 - 4*r + 7. Let t be m(0). Solve -t*c = -8*c - 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 0*p - 12 = 0. Let t be ((-18)\/p)\/((-3)\/8). Suppose -5*k = -w + t, -10 = -5*k + 15. Solve -c = g, -5*g + 13 = -5*c - w for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 875 a factor of 14004375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -5815175, -2 in ascending order.\nAnswer: -5815175, -4, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ew when two letters picked without replacement from {e: 4, s: 1, f: 1, x: 6, p: 2, w: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(396) + 0)**2.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 10 + 15 + -19 + -23 + -5?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1\/4 (b) 3 (c) -0.14 (d) 236 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 6*k**2 - k + 5. Let t be s(6). Let v be -5 + 2 - (2 + t). Let m be v\/(-1) + (-18)\/8. Sort m, -2\/3, 2\/5 in descending order.\nAnswer: m, 2\/5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*j + 6*o = 105*j + 18, 5*j + 3*o - 16 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5 - 2*q**2 + 1\/2*q**3 - 7\/2*q.\nAnswer: (q - 5)*(q - 1)*(q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*2\/(-4)*2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -494*w + 129*w + 125*w + 130*w + 116*w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 14759619*a**2 + 14759096*a**2 - 1.\nAnswer: -523*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -8*d. Let z(w) = -w + 1. Let y(g) = 21*g - 6. Let o(k) = -y(k) - 6*z(k). What is o(b(t))?\nAnswer: 120*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 66*b**2 + 16*b**2 - 2*b - 3)*(-2827 + 11*b + 2827)*(-3*b + 0*b + 4*b) to the form r + q*b + m*b**2 + a*b**3 + u*b**4 and give a.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 31732096 - 444835\nAnswer: 31287261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 368487692 and 92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16094444 divided by -33.\nAnswer: -16094444\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0107049 rounded to 4 decimal places?\nAnswer: -0.0107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 26 - 14 = 0. Let o be d\/70 + (-52)\/(-14). Suppose 0 = -o*r - r + 85. Calculate the remainder when r is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3.974324 centimeters?\nAnswer: 39743240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*t + 37 - 37)*(-1307*t + 1307*t + 205*t**2) to the form x*t**2 + n + k*t**3 + d*t and give k.\nAnswer: 3280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 0*c + 3 = -c, 0 = -3*s + 2*c - 8. Suppose 0 = 4*j + l + 12, -2*j - 20 = -3*l - 0*l. Let t = j + 3. Sort 4, t, s in descending order.\nAnswer: 4, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 141 - 81. Suppose 0*f = 2*f - 6. Suppose -30 = f*h - 5*o - 123, -o = 3*h - a. Does 36 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 2. Is 1*-21*b + 2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 135 - 46. What are the prime factors of d?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -490, -977, -1464?\n\"Answer: -487*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 850*(-5)\/((-125)\/180). Suppose c + 180 = 3*b. Let z = -841 + b. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 97*w**3 - 3*w**2 + 43*w wrt w?\nAnswer: 582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 170254976 divided by -3424.\nAnswer: -49724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24.6 - -8.1. Let y = z + 14.5. Let s = 0.4 + 5.6. Is y at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.026 * 15.87.\nAnswer: 0.41262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 6*y. Let t be q(2). Let c(d) = -d**2 + 14*d - 10. What is the smallest common multiple of c(t) and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1014)\/207025*-49*(-20)\/(-6)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -58599?\nAnswer: -1\/58599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -5*p + 716. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21914 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is three sevenths of a week in minutes?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000128929521 rounded to 7 decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 4 + w - 3 - 2*w. Let f(g) = -3 + 5 + 5*g - 6 - g. What is 2*f(m) + 9*z(m)?\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6651*-3.5\nAnswer: -23278.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s - 36. Let k be p(-19). Suppose 0 = -3*v + v + 10. Put v, -5, k in ascending order.\nAnswer: -5, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 19*r**3 + 6*r**2 - 10*r. Let i(f) = -13*f**3 - 4*f**2 + 7*f. Let q(z) = 7*i(z) + 5*w(z). Let d be q(1). Factor -4 + 2*v**3 - 1 + d - 2*v**2.\nAnswer: 2*v**2*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-32)\/40 + 1253\/35. Calculate the highest common divisor of z and 2345.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -4*g + 22589*z - 22591*z, -12 = -3*g + 2*z for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 113*z. Let m(u) = -2*u**2 + 3*u - 3. Let t be -1 - -5 - (13 - 7). Let b(x) = x**2 - 2*x + 2. Let d(g) = t*m(g) - 3*b(g). Give a(d(h)).\nAnswer: 113*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3329, 3345, 3361?\n\"Answer: 16*p + 3313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -351173 - -351176. Suppose 2*d - 20 = -2*d. Solve h - x*z = -d - 0, -z - 1 = -h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.68129 - 7.\nAnswer: -8.68129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (4*1*sqrt(1100))**2.\nAnswer: 17595","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 80897*i**3*x**3 + 37*i**2 + 183*i*x**3 wrt i?\nAnswer: 485382*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 273 is divided by 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 times -27?\nAnswer: -1458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 733812529 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 811596.\nAnswer: 2434788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 5. Let o be ((-4)\/i)\/((-2)\/(-40)). Let b(m) = -m**3 - m**2 + m + 2. Let q be b(0). Solve 2*j - o*w = 4, 0*j - j - w = -q for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 2:24 PM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 87, 394, 911, 1638, 2575, 3722, 5079?\n\"Answer: 105*r**2 - 8*r - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -202288 * -606\nAnswer: 122586528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 - 376840*y**2 + 3014663*y - 2637824.\nAnswer: (y - 376832)*(y - 7)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/8 - 101251*n\/4 + 1417563\/8.\nAnswer: -(n - 7)*(n + 202509)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 872, 7540, 25658, 60950, 119140, 205952, 327110, 488338?\n\"Answer: 954*p**3 + p**2 - 13*p - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/((m*m**0\/m)\/m)*m)**(3\/4)*(m\/(m\/m**(1\/3)))\/m**(4\/3))\/((m*m*m**2)\/(m*m**9*m))**(2\/19) assuming m is positive.\nAnswer: m**(52\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-32)*(-4)\/(-5)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2649 - 7946\/3. Sort 1, 5, 10\/3, x in decreasing order.\nAnswer: 5, 10\/3, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -496*f - 541. Is o(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**4 - 110885*l**3 + 221778*l**2 + 443540*l - 887096 = 0.\nAnswer: -110887, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 45*y**2 - 34*y - 81. Calculate g(-3).\nAnswer: 426","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d + 3. Let k(j) = 4*j**3 - 2*j**2 - 2*j - 1. Let a be k(-1). Calculate the lowest common multiple of 16 and u(a).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - 12*y - 20. Let a = -15 - -6. Let q be m(a). Let t(r) = -r**3 + 7*r**2 - r + 7. Let o be t(q). Solve 2 = -2*g - o for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (700\/(-41200))\/(217\/(-248))\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -454467, -909612, -1364757, -1819902, -2275047, -2730192?\nAnswer: -3185337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1072, -2116, -3162, -4210, -5260?\nAnswer: -6312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*a**3*g*y - 3*a**2*g*y + a*g - 8*g - y + 6 wrt a?\nAnswer: 24*a**2*g*y - 6*a*g*y + g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 3*c + 14, -3*w + 18 = -78*c + 77*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -721, -4550, -14629, -34084, -66041, -113626?\n\"Answer: -521*t**3 + t**2 - 185*t - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -j**4\/12 + j**2\/2 + 861*j. What is i(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(525\/370) - 96*(-28)\/(-1008).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*5\/20*-2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 56471197?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36389?\nAnswer: 36389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -23?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*y**5 - 112688*y**4 + 198359044*y**3 + 198443568*y**2 + 49617936*y.\nAnswer: 4*y*(y - 3522)**2*(2*y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 2*r + 1. Let n be x(-3). Let s be 3 + (1 + n - -2)*0. Solve 0 = -s*b - 4*v + 27 - 7, -v = -5*b - 5 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = h + 8. Which is the nearest to -1? (a) 9 (b) h (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/10579 and -79\/6.\nAnswer: 63474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + 19)*(-1)\/(-2). Let u be 350\/21*(-96)\/l. Is 12 a factor of (u\/(-15))\/(2\/9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-8)*(-230)\/(-92).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1097044?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00018947 to 5 dps.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (560\/28)\/40*2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/12174470 and 89\/12174470?\nAnswer: 12174470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000256255 rounded to six dps?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -927*k**2 + 927*k**2 - k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 f when two letters picked without replacement from {j: 2, x: 1, w: 1, f: 2, b: 2, e: 1}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -457*i**5 - i - 45 wrt i.\nAnswer: -9140*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40190735?\nAnswer: 5, 13, 47563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -191749, -383466, -575195, -766936?\n\"Answer: -6*s**2 - 191699*s - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 4*o - 2*o**2 + 3 - 4 + 0*o - 3*o**2. Let p be v(-4). Does 12 divide (-3 - p) + 2*19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + -62 + 4 + -16.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/7, 0.4, 2.3, 0.2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35*((-24)\/(-18))\/(-4*4\/12).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -135 + 150. Solve -3 + z = 3*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 w when two letters picked without replacement from owzozoz?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l. Let n = -53\/36 + 14\/9. Let c(z) be the third derivative of -n*z**4 + 0 + 0*z**3 + 0*z - 2*z**2. Determine j(c(q)).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h, 1 k, and 1 t when four letters picked without replacement from {t: 1, h: 2, k: 1, s: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 98\/43 or 1\/13?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a + 19*a**2 - 18*a**2 + a - 4*a. What is w(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5434 in 1\/6, -0.5, 5, -344, -2\/13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*r - 156 + 129 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 + 20. Do 7 and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -276*v**3 + 64*v**2 + 36*v - 4. Let h(u) = u**3 - u. Let p(w) = -d(w) - 20*h(w). Let p(i) = 0. What is i?\nAnswer: -1\/4, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2191099*i**4 + 1777*i**2 + 35*i?\nAnswer: -52586376*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 40*l + 327. Give g(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fourty-four fifths of a meter?\nAnswer: 880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294 = -5*h - 8*k + 250, 27*h + 105 = k for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kx when two letters picked without replacement from {x: 1, j: 3, n: 4, l: 6, m: 4, k: 1}.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 144727998 to the power of 1\/2, to the nearest integer?\nAnswer: 12030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -4. Suppose v = 3*n - 5*t + 5, t + t = 2*n - 2. Let f = 41 - 41. Solve 5*y - 16 = 4*r, -3*y + 4*r + 3 + n = f for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 1 + 3 + (-11 - 4) + 8\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000535016 rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of 0*d**3 - 2\/5*d**5 + 0*d**4 - 3\/2*d**2 + 3 + 0*d. Find the second derivative of a(k) wrt k.\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 666 and 111?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 323510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 345773663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 152 + -151.6. Let c be (-1)\/2*(-5)\/30*-4. What is the closest to 3\/4 in -2\/15, k, c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**4\/3 + 218134*a**3\/3 + 11895392353*a**2\/3 - 7930479704*a + 3965276208 = 0.\nAnswer: -109068, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -8281\nAnswer: 3312.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2459 + -2483. Let m(p) = -p**3 - 23*p**2 + 26*p + 45. Calculate m(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8335 - j**2 + 24*j + 16866 - 24*j - 8434.\nAnswer: -j**2 + 97","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 11:17 AM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*46\/23)\/(2*3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 23374*l. Let f(r) = r**2 + 130*r. Determine c(f(k)).\nAnswer: 23374*k**2 + 3038620*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -138 + 33 + 123 - 104.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**2 + 9*y. Let v(f) = 23*f - 3. What is h(v(c))?\nAnswer: 1058*c**2 - 69*c - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) -4 (c) 3 (d) 22.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 375269 is divided by 37348.\nAnswer: 1789","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**2 - 2*s**2 - 10*s**2)*(2 + 2*s - 3 + 0).\nAnswer: -30*s**3 + 15*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/217 in -2, -3, 2, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247671.\nAnswer: 3, 9173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x - 68 + 50 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -7*x - 1. Let s be (-2)\/(-4)*(-5677)\/(-290). Let p = 13\/116 + s. Calculate the common denominator of v(7) and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28025 divided by 1475.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 4*h - 6*h)*(-14594 + 7271 + 7019 - 3*h)*(0*h**2 - h**2 + 0*h**2).\nAnswer: -6*h**4 - 608*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-506)\/110*-5*(-2)\/8*-4?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from abqztuu. Give prob of picking 1 a and 1 q.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -5*v - 8*x + 851, 3*x = 5*v - 836. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t**2 + 0*t**2 + 0*t**2)*(-2867*t**2 + 2701*t**2 + 1 - 1) in the form v*t**3 + q*t**2 + z*t + i*t**4 + u and give i.\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000360899606 to five decimal places.\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(704) - (sqrt(704) + 1*sqrt(704))) + 3 + -3 + -2*sqrt(704) + sqrt(704))**2.\nAnswer: 2811","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 4*o - 4. Let g(k) = 10 - 9*k + k - 1. Let d(a) = -3*g(a) - 7*q(a). Is d(-4) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1049182 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 19476\/40255?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16.9 * 15841.\nAnswer: -267712.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 - 7*d - 7. Let b be c(-5). Factor 0*a - b*a**3 - 2*a**2 - a**2 - a - a**4.\nAnswer: -a*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 8) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*y + 428*y = -18*y - 8928 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Solve 11062*c - 9759 + 2088 = 24126 + 67761, 0 = 3*x + c + 3 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x - 5. Let j be b(-10). Solve -5*v - j*l = 0, -v + 3*l = -0*l - 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95337154 to the power of 1\/3, to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, z: 1, j: 2, w: 5}. What is prob of picking 1 z and 2 j?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 4931832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -304*k**3*n + 572*k**3 - k**2*n**4 wrt n?\nAnswer: -304*k**3 - 4*k**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 3*c + 120. What are the prime factors of f(0)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 4 - -8) + -10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 10*d**2 + 3*d + 29. Let n(j) = 17*j**2 + 5*j + 60. Calculate -7*l(v) + 4*n(v).\nAnswer: -2*v**2 - v + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 126282828731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1518 and 56672?\nAnswer: 170016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -299*o**3 + 706*o**3 + 690*o**3 - 3*o**2 + o**3 + 3*o**2 + (-11*o + 3*o**2 + 11*o)*(-3*o + 3 - 3) to u*o + l + v*o**3 + n*o**2 and give v.\nAnswer: 1089","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of p**6\/60 - p**5\/60 - p**4\/8 + p**3\/3 - 82*p**2. Determine h(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02037 rounded to 3 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 272108493?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 3*w + 2*w**2 + 2)*(3*w**2 + 3*w**2 + w**2).\nAnswer: 14*w**4 + 14*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 711754 to the nearest integer?\nAnswer: 844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2118.\nAnswer: 2, 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35 + -29)*((-3)\/33)\/1?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 476 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.37, 8, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8836?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -63 + 131. Let b = 62 - r. Is (-4)\/24 - 679\/b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-32)\/(-10) - (6 - 3))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + z - 132 = -2*g, -4*z = -g + 78. Is g a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220 (base 10) to base 9.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7178 divided by 1806?\nAnswer: 3589\/903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*m - 5074 = -23*m + 107*m + 3*m for m.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/9)\/(2\/(-258)). Let s = -28 - i. Calculate the remainder when 42 is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -24?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 9121, 0.5, -1, -4, -0.5 in descending order.\nAnswer: 9121, 0.5, -0.5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -163000 rounded to the nearest ten thousand?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/(-55))\/(2\/50)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14054*d**2\/9 + 28112*d\/3 + 8 = 0.\nAnswer: -6, -6\/7027","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 118351 - 1495135 = 4*f, -2*f = d - 344175. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 11*g - 99. Let k be w(9). Which is the smallest value? (a) k (b) -14 (c) 1\/7 (d) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -69 (b) 5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -251 + u**2 - 252 + 503.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z - 5577 = -19*z. Let x = -106 + z. Calculate the least common multiple of 24 and x.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0.1, -3, -10.6, -553, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/8*16\/(-24)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**(-1\/3))**(2\/39)\/((g\/g**(-3))\/g**(1\/2)))**(-1))**(-13) assuming g is positive.\nAnswer: g**(-803\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v\/(v\/(v**(-2)*v))))**26*(v\/v**(-6))\/v*((v*v**2)\/v)\/v assuming v is positive.\nAnswer: v**85","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - q + 4. Suppose q*t = 10 - 2. Suppose -3*k = -4*g - 5, -k - 3*g - 5 = -3*k. Put k, 1, t in descending order.\nAnswer: t, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 11*f**2 + 19*f - 113. Is s(26) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*n - 14*n + 24*n + 83*n as p*n + o and give p.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -32*k + 24 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1007 + 1669. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107063191?\nAnswer: 107063191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 89\/(43966\/27417)*-2*(-3)\/(-9).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g + 18. What is o(24)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 33169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -4\/11, 2, -0.1, 1\/6, -2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - d?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w**3 + 6*w**2 + 4*w + 6. Let m(a) = -a**3 + a**2 - a + 1. Determine -g(o) + 6*m(o).\nAnswer: -3*o**3 - 10*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y. Let o = -12 + 15. Let x(d) = -o*d + 5*d + 7*d. What is c(x(a))?\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llllllllllrll. Give prob of picking 2 l.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 1\/8, 3.1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 41*y**2 + 114*y + 57. What is a(38)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -v**5\/20 - 3*v**4\/4 - v**3 + 17*v**2\/2 + 1257*v. Give m(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 l when three letters picked without replacement from hhhfhhffhfhllh?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 0, -6 in decreasing order.\nAnswer: 1, 0, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5053945?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o**2 + 5*o + 1. Let m be p(-2). Solve l = 4*f + m, -l = -0*l + 3*f - 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/1369 and -9\/259?\nAnswer: 9583","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 229 or 230?\nAnswer: 230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 9480237*f**2 - 21539*f + 3077. Let h(d) = -9240*d**2 + 21*d - 3. Calculate 3077*h(n) + 3*m(n).\nAnswer: 9231*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a**(-2\/9)\/a)))**(-19)*(a*(a*a**2)\/a*a)**5 assuming a is positive.\nAnswer: a**(389\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (((-12)\/20)\/(-1))\/((-3726)\/(-690))\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 210 + 190 = 0, -4*x - 16 = -d for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 81509933 to the nearest integer?\nAnswer: 9028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d**2 + 8*d**4 + 23868*d - 23734*d + 3*d**2 - 2*d**2 to the form p*d**3 + z*d + a*d**2 + c + l*d**4 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-26 - -4)*2\/4. Sort -2\/11, 2, j in ascending order.\nAnswer: j, -2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.04 from -104.\nAnswer: -104.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - 9*m + 40. Let q be o(-12). Suppose -q*j - 3 = -419. What are the prime factors of j?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 5*z + 54 + 2, 3*j + 4*z - 113 = 0. Suppose 3*y - j = -5*x, -y + x = 3*y - 3. Calculate the common denominator of -64\/9 and (-75)\/2*y\/(-10).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 9*x**2 + 7*x. Let i(p) = -179*p + 2*p**2 + 182*p + 4*p**2 - 3*p**2 + p**2. What is 3*c(f) - 7*i(f)?\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -11. Let u = a + 12. Suppose 0 = d - u*d - x + 80, -2*d = -5*x - 40. Solve -6 = 3*n, -4*s + 2*n + 0*n + d = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -5*z**2 - 3*z + 2. What is x(-3)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/9 - 436*z**2\/3 - 1720*z - 5136.\nAnswer: -2*(z + 6)**2*(z + 642)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1)*g)**7)**(-46) assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eighteen fifths of a minute?\nAnswer: 216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3423 is divided by 81?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 19*d - 1124. Determine c(-29).\nAnswer: 268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 9. Let a(x) = 3*x**3 - 8*x**2 + 6*x - 13. Let u(z) = -z**3 + 4*z**2 - 3*z + 6. Let i(n) = h*u(n) - 2*a(n). What is the units digit of i(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1802 - 8?\nAnswer: 17c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31947 = -3*b + 3150. What are the prime factors of b?\nAnswer: 11699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -4, 3, 114 in decreasing order.\nAnswer: 114, 3, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 5*f - 5*f)*(3*f**3 - 2*f**3 + 2*f**3)*(-3 + 1 + 6).\nAnswer: -12*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 - 71739747*z.\nAnswer: 3*z*(z - 23913249)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 18916 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1458 - 5456. Let b = -12024 - x. Round b to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -r**5\/2 + 71*r**4 - 12*r**3 - 241520*r**2 + 2695232*r + 14625792 = 0.\nAnswer: -54, -4, 16, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of -197*i**7\/105 - i**6\/60 + 37*i**4\/6 + 898*i**2. What is the second derivative of z(o) wrt o?\nAnswer: -4728*o**2 - 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 974, 7537, 25356, 60059, 117274?\n\"Answer: 938*h**3 - 3*h + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n**2 - 13*n - 15. Calculate d(-5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 3 = 5, -v + 4*u = 18 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 2 - 2)*(-119 + 2*g + 46 + 47).\nAnswer: -4*g**2 + 52*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 153361832?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/(668544\/222992) + -4. Is -1 less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94357 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -3\/2*a**2 - 27 + 40\/3*a**3 + 2*a. Find the second derivative of u(s) wrt s.\nAnswer: 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.813 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/3891 or 1?\nAnswer: -4\/3891","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.24 - -23862780\nAnswer: 23862780.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 420 and 70455?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 times -0.1?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 125286, 251086, 376900, 502734, 628594, 754486, 880416, 1006390?\nAnswer: 1132414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -144 + 148. Suppose 4*n + 2 + 2 = 0. Let k(r) = 7*r**2 + r + 1. Let o be k(n). Solve -g*d - o = -23 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5 = -3. Suppose -8 + j + 2*k**2 - 2*k**3 = 0. What is k?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -584859*k**3*z**3 + 13*k**3*z - 757*k**3 + k**2*z**5 - z + 3 wrt z?\nAnswer: -3509154*k**3*z + 20*k**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 7) in base 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14255 is divided by 264.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u + 20. Let l(n) = -4*n - 25. Let b(g) = -5*h(g) - 4*l(g). Let d(f) = -11*f**2 + 1. Determine d(b(t)).\nAnswer: -11*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 + 2*x**2 - x**3)*(-29*x**2 + 14*x + 4*x**2 + 7*x**2).\nAnswer: 18*x**5 - 14*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.01 - 0.01. Let m = -1 + t. Let w = m - 1.00003. What is w rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 44501, 44534, 44569, 44606, 44645?\n\"Answer: s**2 + 30*s + 44470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r**3 + 8 - 3 - 4*r**2 + 0*r**2 - 2*r**3. Is 11 a factor of z(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) -1\/7 (c) 2\/9 (d) -0.32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -129, -552, -1275, -2310, -3669, -5364?\nAnswer: -7407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 5*r - 245 = 5*g, g - 5*r = -61. Let z = 94 + g. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2256262 + -4?\nAnswer: -4.2256262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44 (base 6) to base 11.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 5*l + 2. Suppose 26*m + 18 = 20*m. Let w(f) = f + 1. Calculate m*w(a) + b(a).\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 2 - (-5745)\/(-35). Let b = -163 - l. Calculate the common denominator of 16 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8\/25 of a kilometer?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z + 4. Let n be b(-2). Solve 0 = -n*h - 2 - 6 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5145549767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 h when three letters picked without replacement from {b: 12, h: 7}.\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -6*v + 4. Let l(y) be the second derivative of 1\/3*y**3 + 12*y + 0 - 1\/2*y**2. Suppose 0 = j - 5*h + 7, 3*j + 3*h + 0 = -3. What is j*n(m) - 7*l(m)?\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.22 - -0.54. Let s = z - 0.32. Which is the third smallest value? (a) -0.2 (b) -3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2816, 6499, 10816, 16085, 22624, 30751?\n\"Answer: 53*x**3 - x**2 + 3315*x - 551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k + 5. Let o(r) = -7*r - 10. Let g(z) = -5*j(z) - 2*o(z). Let x(u) = 1. Calculate g(b) + 6*x(b).\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 4*d**2 - 2*d - 9. Let i be g(-4). Let f be 21\/(-1)*(i + 2). Let b be 7997\/8 + f\/(-56). Round b to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51649033 a multiple of 242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -202 (base 3) in base 4?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a hour in seconds?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 6*m**2 + m + 1. Let v be 10\/3*9\/2. Suppose v = -3*u - 0*u. Is 21 a factor of c(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 789875417?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 276837479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - f - 2, -5*i + 0*f - 6 = 4*f. Solve i*c + 29 = 29 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34140572 rounded to the nearest ten thousand?\nAnswer: -34140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4432816.394 less than 142?\nAnswer: 4432958.394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1215 (b) -0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -78*r**3 - 2*r**2 - r. Let y be (-20)\/25 + (-2)\/10. Let p be b(y). What is the greatest common divisor of 7 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 + 0)\/((-39)\/(-26)). Let v be (-5)\/2 + 3\/l. Let h = -3 + 5. Sort h, v, 0 in decreasing order.\nAnswer: h, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence houu when four letters picked without replacement from {h: 3, u: 5, a: 1, d: 1, o: 10}?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -325, -3235, -11643, -28459, -56593, -98955, -158455?\nAnswer: -238003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5\/462 + 4685\/6006. Factor -2\/13*v**3 + n*v + 6\/13 + 2\/13*v**2.\nAnswer: -2*(v - 3)*(v + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 3 = 2*r. Calculate the remainder when r is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 3*u = -30, 5*u - 17 = -4*n + 24. Let y(v) = -v**3 - v**2 + v - 2. Let q be y(0). Let w = q + n. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 - -33. List the prime factors of 164\/2 + (-2 + q - 0).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3679 = 4996. Is b a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + -5)*(3 + -2)*-1. Suppose -2*q - 2*n = -359 + 109, -q - a*n + 137 = 0. List the prime factors of q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 6*w**2 - w. Let v be k(1). Suppose 20 = -4*a, 0 = v*n - 0*n + 5*a + 5. Differentiate -r**3 - 1 + 3*r**n + r**3 wrt r.\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 57 - 4. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/5 (b) 0 (c) -3\/4 (d) -1267 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/2)*d*d**14)\/((d\/(d\/((d\/(d\/((d*d**6\/d)\/d*d))*d)\/d))*d)\/(d*d\/((d**(-9)*d)\/d)*d*d)) assuming d is positive.\nAnswer: d**(41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (36\/10)\/((-4)\/(-620)). Suppose -2*s = -11*s + i. What is s rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -103770 + 177901. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, b: 2, o: 1, n: 1, t: 1, f: 1}. What is prob of picking 1 o, 1 t, and 1 n?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(66)\/sqrt(150)*-3 + ((sqrt(110)\/(sqrt(45) - sqrt(5)))\/sqrt(2))**2.\nAnswer: -3*sqrt(11)\/5 + 11\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34344721 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, q: 1, u: 1, i: 7, x: 5}. Give prob of picking 1 u and 3 i.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 33771 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -5, 0.3, 0.001, -0.1, 30 in decreasing order.\nAnswer: 30, 0.3, 2\/11, 0.001, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -111 + 451?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.7038415 litres?\nAnswer: 703.8415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x*x**5*x)*x**(-7)\/x*x**(2\/45)\/x*x**(-2\/65) assuming x is positive.\nAnswer: x**(-8767\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - ((199 + -201 - (0 + 10)) + -14).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30158 and 9622?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(180) + sqrt(5))*-6.\nAnswer: -42*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 12 = -8*y. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 106 = n - 11, -x - 5*n = -15. Suppose x*f - 80 = 25*f. Suppose -2*o - 2*o = -f. Solve r = -1 - o for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222311 is divided by 314?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 2. Suppose 0*q = -r*q. Let f be q + (-2)\/(-1) + 2. Solve 0 = 6*c - 2*c + f for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10.72 + -11.93. Which is smaller: g or 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-57)\/(-9) - (-4)\/6. Suppose 0 = 3*s - 16 + w. Let p = 99 - 97. Solve j = -5*g - s, -j - p*g + 4*g = -4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 323*k**2 - k - 3404 - 108*k**2 + 3409 to the form l*k**2 + t + n*k and give l.\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -70*s + 29. Is i(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -376 - 7 - 8*k**2 - 184 + 115 - 214 as i + g*k**2 + a*k and give i.\nAnswer: -666","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 - -1)*(15 - 16). Let i be -77*-2*w\/(-3). Calculate the highest common divisor of 28 and i.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**(-2)*n)**(-4\/27)\/(n**(2\/5))**(2\/3) assuming n is positive.\nAnswer: n**(-136\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 8:15 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/9 + (-3)\/9. Suppose 83*z - 3 = 82*z. Suppose -5 = -3*c + 1. Sort u, z, c in decreasing order.\nAnswer: z, c, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-93*z - 859 + 859)*(13 + 2*z**4 + 23975*z**2 - 23975*z**2).\nAnswer: -186*z**5 - 1209*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245834 is divided by 49.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*u - 4*u**2 + 28*u)*(3*u - u - 4*u + 6*u - 2*u - 7*u - u - 2*u + 2*u + (3 - 3 + 1)*(-2*u - 3*u + 4*u)).\nAnswer: 28*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89662, -717426, -2421398, -5739682, -11210382, -19371602, -30761446?\nAnswer: -45918018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -ab - 34?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(54)\/sqrt(3) - -1*sqrt(288))\/(sqrt(24) + sqrt(96)\/sqrt(4)*-2).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-1\/8)*((r\/r**21)\/r*r)\/r*r*r**(-6\/7)*(r**(-3)\/r*r)\/r)**(1\/13) assuming r is positive.\nAnswer: r**(-1329\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c**5 + 35574*c**4 - 142276*c**3 + 213404*c**2 - 142266*c + 35566 = 0?\nAnswer: 1, 17783","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n + 11. Let o(c) be the second derivative of c**3\/6 - 1424*c - 1. What is b(u) - 3*o(u)?\nAnswer: -u + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**4 + 109109831*c**2 + 3089*c - 6550 wrt c?\nAnswer: 12*c**2 + 218219662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -25847, -25960, -26073, -26186?\n\"Answer: -113*p - 25734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39 and 41483?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.317 - 3.683. Suppose c + 2*c + 9 = 0. Let l be (-3)\/6 + c\/(-14). What is the second smallest value in l, -2, x, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, t: 2}. Give prob of sequence ut.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 558770 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -599 > -9001\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 21*o**3 - 27*o**2 + 27*o. Let k(g) be the second derivative of -3*g**5\/20 + g**4\/3 - 2*g**3\/3 - 5*g. What is 4*h(w) + 27*k(w)?\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -14*u**4\/3 - 200*u**3\/3 - 361*u**2. Differentiate w(h) wrt h.\nAnswer: -112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/35)\/(((-9918)\/76)\/(-87)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.09 (b) 4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5424120 = -t. Suppose 5*n = -233860 + t. Let v = 254360 + n. Round v to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 45*(-11)\/(-275) + (-2 - 5 - -6)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 44 - 182 = 0. Suppose 7*j - f = -5. Suppose -9 = 2*z + 3*h, 4*h - 2*h = 3*z - j. Solve -2 = x + x - 4*t, -z*x - 3*t = 21 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20673 + -20694.013. Let t = j + 0.013. Let b = t + 26. Sort b, -1\/4, -4.\nAnswer: -4, -1\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express l**4 - 1 - 14*l + 15*l + 6*l**2 + 1 - l**3 as w*l**2 + z*l**3 + a*l**4 + r + j*l and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3 = 4*f - 18, -9 = -f + b. Let g be (1 - -1) + f + -1. Find the third derivative of n**5 + 4*n**2 + 4*n**5 - 3*n**g wrt n.\nAnswer: 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9535689 greater than or equal to 0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 63 + -58. Suppose -t - 4*g = 2 - 0, 4*g = 12. Let v be (-2)\/(-1) + 20\/t. Which is the nearest to -2\/3? (a) v (b) 0 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 232195 + 0.11558.\nAnswer: 232195.11558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65\/78*(-28)\/(-35).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1201 + 16.63836?\nAnswer: 16.75846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z**2 - 9*z - 5. Determine p(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54 - 42. What is the remainder when 46 is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -223*i**6\/3 - 2*i**3\/3 - 65*i**2 + 2*i - 920. Find the second derivative of q(s) wrt s.\nAnswer: -8920*s**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 128*g**2 + 29*g + 1278. List the prime factors of p(128).\nAnswer: 2, 5, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -j**5\/8 + 9199*j**4\/8 - 27585*j**3\/8 - 27599*j**2\/8 + 50581*j\/4 - 6897 = 0.\nAnswer: -2, 1, 3, 9196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -14 + (-6 - -26)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 3, 49, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -576*c**3 + 2131*c**2 + 214*c**2 - 1318*c**3 - 59*c**2 - 48*c**2 wrt c.\nAnswer: -11364","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 5*m**2 + 2. Suppose y + 5*z = -2 + 6, 3*y + 3*z - 12 = 0. Let b be l(y). Solve 0 = -3*p - b + 6 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffff. What is prob of picking 3 f?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46 - -52.04. Let d = r - 6. Let n = 0.0400001 - d. Round n to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 2. Let f = -0.36 + -0.04. What is the third biggest value in -5, l, f?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 12:32 PM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -3714*k**3 + 9*k + 1 + 1857*k**3 - k**4 - 2*k**2 + 1858*k**3 as r*k**3 + p + m*k**4 + h*k + c*k**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 161 + 35 = 0. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43902 - -43826.756. Let p = z - -75. Let c = 0.044 + p. What is the nearest to 0.1 in -1\/2, c, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25007 is divided by 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 18, 4, -18, -48, -86, -132?\n\"Answer: -4*b**2 - 2*b + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**4 - 942*v**3 - 104949*v**2 + 55056132*v - 3415934916 = 0 for v.\nAnswer: -573, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -0.3 (b) 22\/25 (c) 1\/4 (d) -2\/573\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(1452) + -3).\nAnswer: -22*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2987*a - 46030 + 141614 = 0 for a.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 3, -2 in decreasing order.\nAnswer: 4, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 301 a factor of 57658404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((100\/(-280))\/((-30)\/7))\/((-3)\/8).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 54 = -612. Suppose -424 = -4*d + 20. What is the highest common divisor of d and x?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 10 - 6 = q, -23 = -2*q - 3*b. Let u(z) = 5*z. Give u(q).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163957 divided by -51?\nAnswer: -163957\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1533892, 1533895, 1533898, 1533901, 1533904, 1533907?\nAnswer: 1533910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1987855 is divided by 198767?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 4*g - 540 = -t, -4*g = 5*t - 679. Does 6 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3.2 (b) -1\/2 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -6. Let h(n) = -n**2 + 17*n - 27. Let g be h(15). Suppose -g*v + 5*w + 9 = -23, 0 = -3*v - w + 26. What is the remainder when v is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -155929, -312060, -468187, -624310?\nAnswer: -780429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 805 - 799. Let q(p) be the second derivative of p**4\/12 + p**3\/6 - 9*p**2\/2 - 5*p. Let n be q(-4). Solve -6*v + n*v = -s for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -13617?\nAnswer: -68085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 5*i**3 - 2*i**2 - 1. Let q(l) = -6*l**3 + l**2 + 2. Give -3*h(n) - 2*q(n).\nAnswer: -3*n**3 + 4*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -264*y**3 - 143*y**2 - 143*y + 143. Let w(o) = 11*o**3 + 6*o**2 + 6*o - 6. Determine 6*g(u) + 143*w(u).\nAnswer: -11*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14075105 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -10536.\nAnswer: -42144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2806, -5786, -10758, -17728, -26702, -37686, -50686, -65708?\nAnswer: -82758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7056 at most as big as 7057?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 16251687 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: What is the remainder when 22336 is divided by 102?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -4 (b) 4 (c) -1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -172 - -1061?\nAnswer: aab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 640 + 838 - 1667 = 27*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 11:42 AM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q - 4*q**2 + 6*q + 1 + 7*q**2)*(-14*q + 5*q + 5*q).\nAnswer: -12*q**3 - 4*q**2 - 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -220 + 230. What is the greatest common factor of 170 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -199376.4 to the nearest one hundred.\nAnswer: -199400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4 - -0.6. Let z be 2 - 3 - 19\/(-13). Let t = -25\/26 + z. What is the closest to t in -5, -1, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12452*w - 12486*w - 12455*w - 12468*w + 49778*w.\nAnswer: -83*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 57, 84, 111, 138?\n\"Answer: 27*l + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five quarters of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - (-7)\/1)*1. Let l be (-7)\/(-28)*(j + 0). Solve l + 0 = i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(sqrt(55)\/sqrt(5)*4).\nAnswer: sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 4, -21, -54, -95?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3172 or 7402?\nAnswer: 7402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/7)\/(((-104)\/910)\/((-1)\/(-10)))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*l + 20 = -a, 5*a - 40 = -3*l. Let r = 1 + a. What is the third derivative of 7*m**6 + 0*m**r - 3*m**2 + 8*m**2 wrt m?\nAnswer: 840*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/((-128)\/(-42) - 3). What is the least common multiple of (14\/x)\/((-1)\/12) and 4\/((-8)\/(-5))*8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -3)*(-1)\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 187461 to the power of 1\/2, to the nearest integer?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**4\/21 + 1452088*s**3\/21 + 1452084*s**2\/7 + 4356248*s\/21 + 1452082\/21 = 0. What is s?\nAnswer: -726041, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 517, 1582, 4463, 10066, 19297, 33062?\n\"Answer: 151*c**3 + 2*c**2 + 2*c + 362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 226 - 2036\/9. Let h = -2.417 - -2.717. What is the smallest value in h, p, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 83*z**2 - 191*z - 15495. What is v(78)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44104*l**2 + 892*l**3 + 44104*l**2 + 39*l.\nAnswer: 892*l**3 + 39*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -2. Let t(x) = x**2 + 45*x - 972. Let j be t(16). Sort d, j, -5, -7 in descending order.\nAnswer: j, d, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 1:52 AM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1721 + -225?\nAnswer: 1485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -183645 divided by -3.\nAnswer: 61215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*s - 78*s - 66 = 0 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 6 + 6)*(1 - k - 1)*(-k - k + 0*k).\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*l + 2*l + 2*l)*((-19 - 39 + 0)*(-1 + 3 + 1) - 1 + 1 + 1) as j + v*l and give v.\nAnswer: -346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 55245 - 680.68049\nAnswer: 54564.31951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.103 from -32487.\nAnswer: -32487.103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 256, 444, 632?\n\"Answer: 188*s + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, f: 1, r: 1, o: 1, i: 2, z: 1}. Give prob of picking 1 r, 1 f, 1 i, and 1 x.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -541995 divided by 108399?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k**(-1\/3)*k)\/k)**(3\/31)*k\/(k*k\/k**(4\/3)*k)*k*k**(-1\/5)*k)**(1\/4))**(2\/75) assuming k is positive.\nAnswer: k**(256\/34875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 + 27. Let z = b - 12. Suppose z = w + 2*g + 3 + 1, 2 = -5*w - 4*g. Solve -2*u + 3*h + 4 = 26, 0 = w*u + h + 6 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 16*k**2 + 2*k + 11. What is the units digit of d(16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -195946?\nAnswer: -195951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 150.726 months?\nAnswer: 0.125605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -6. Suppose 17*q + 974 = 15*q. Let p = q - -476. Which is the nearest to -0.1? (a) 4 (b) p (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163 + 240 - 404 - j.\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 1.5 (c) -0.2 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a decade in years?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/15*6\/(-202). Is f bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jgjj when four letters picked without replacement from jgggggjggj?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-3)*((-234)\/12)\/13. What is the third derivative of -70*t**o - 155*t**5 + 2*t**2 + 173*t**5 + 2 - 2 wrt t?\nAnswer: 1080*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20*13\/585*-1?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57, 105, 163, 237, 333, 457?\nAnswer: 615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) 0.4 (c) 1054\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppbpbpbppppbbbprppb. Give prob of sequence pp.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*3\/54)\/(0 + 1)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 3*s - 3 = 0, -5*f + 4*s = 2 + 2 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1182006 a multiple of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u + 24. Suppose 20*d - 31*d + 132 = 0. Give k(d).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 204 (b) -5 (c) -207\/14 (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 102389015.\nAnswer: 1\/20477803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11960*a**2*f + a**2 - 2*a*f - 24679*f - 3 wrt a.\nAnswer: 23920*a*f + 2*a - 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**5\/5 + 243*l**4\/5 + 4797*l**3\/5 - 5043*l**2\/5 = 0. What is l?\nAnswer: -41, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/8330315 and 89\/45.\nAnswer: 74972835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -11*u. Let w be (-28)\/(-21) + 4\/6. Suppose 0 = 6*h - 12 - 24. Let k(o) = 3*o + w*o + 3*o - h*o. Determine k(n(p)).\nAnswer: -22*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 6 + 1, 4*g + j = -513. Let d = 186 + g. What is the remainder when d is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41 + 29. Let z be 9\/(-2)*8\/v. Let b(o) = 0*o**3 + 0 + 3*o - 1 - o**3 - z*o**2. What is b(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11983*v**4 + 39212*v**2 wrt v?\nAnswer: -287592*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -22*g**3 + 2465*g**2 - 113*g + 125. Calculate k(112).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2902, -2907, -2908, -2905?\n\"Answer: 2*l**2 - 11*l - 2893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of k**6\/30 - k**5\/15 - k**4\/6 - 17*k**3\/3 - 80*k. Let b(o) be the second derivative of v(o). Factor b(t).\nAnswer: 4*(t - 1)*(3*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 3*k - 11, 2*o = -2*k - 16506 + 16512 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 329212816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**3 + 0*l**2 + 2 - 10677*l - 4 - 2*l**2.\nAnswer: l**3 - 2*l**2 - 10677*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -3*q + q + 6, 5*s + 3*q = 9. Suppose -2*p - 10002 = -2*o, s*o = 2*p + 3*o + 9997. What is p rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 83073.5 tonnes?\nAnswer: 83073500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 15 = 5*z - 29, 20 = -4*n + 2*z. Put n, 3, 4, -4 in increasing order.\nAnswer: -4, n, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -69 - -93. Does 2 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-93)\/62*(0 - 4). Solve -f = b + 2*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h - 45, -q - 17 = 3*q - 13*h + 80 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*r**3 - 160*r**2 - 285*r - 90.\nAnswer: -5*(r + 3)**2*(5*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 38 = -4*a. Let o(h) = -6*h + 3. Let f be o(a). Round f to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 799 divide 1329814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/15 + 2\/(4*-5). Sort t, 4, -8.\nAnswer: -8, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 2. Is u at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -60*f**7\/7 + f**6\/30 - f**4\/12 - 235*f**3\/3 + f**2 + 5289*f. Find the third derivative of q(g) wrt g.\nAnswer: -21600*g**2 + 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 531327 and 36.\nAnswer: 6375924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 3*m + 0*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -20*g**2 + 3*g + 3. Determine q(-2).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/70 + (-1937)\/(-4095).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 22*x + 86. Let u(z) = -7*z - 28. Determine 3*o(g) + 10*u(g).\nAnswer: -4*g - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2)*(-5 + 15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 6 + -1 + -13\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**4 + x**4 + 2*x**5)*(11887 + 10514 - 18573) - 4*x**5 - 2*x**3 + 2*x**3 + (x**2 + 3*x**2 - 3*x**2)*(x**3 - 2 + 2) - 4*x**5 + 3*x**5 - x**5.\nAnswer: 7651*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4855?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -16, 0.1, 0, -1\/6.\nAnswer: -16, -5, -1\/6, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*m + 53*m + 28714 = 0. Suppose -27*q + 14555 + m = 0. List the prime factors of q.\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 q when two letters picked without replacement from {k: 1, x: 1, m: 1, q: 3, c: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(245) + sqrt(245)*-1 + sqrt(245))*-3)**2.\nAnswer: 4410","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 768764 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-22)\/11 - 1*-13\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/4))**(6\/11)\/(f*f**(-3)*f)**32 assuming f is positive.\nAnswer: f**(707\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 670 and 2180?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*r)*(-3 + 3 + r) + 0 + 0 + 4*r**2 + (-3*r + 3*r + r)*(-6*r + 5*r - 8*r).\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventeen quarters of a millimeter?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 16 (b) 3\/5 (c) -5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 4:47 AM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1568 is divided by 225?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 2*v. Let k be g(2). Suppose k*z = 2*z. Is z\/(1 + 0) - -6 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-11319)\/(-223930) + (-6)\/120. Which is the smallest value? (a) x (b) -2 (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**19*r*((r\/(r\/((r*((r\/(r*r**(6\/25)*r))\/r)\/r)\/r)))\/r)\/r assuming r is positive.\nAnswer: r**(-556\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 0.09702\nAnswer: 0.009702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9 (b) -5 (c) -41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1250747 to the nearest integer?\nAnswer: 1118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**4 + 3*v**2 + v. Let g(w) = -2*w**4 - 4*w**2 - w. Let h = 13 - 9. Let s(d) = h*a(d) + 3*g(d). What is the second derivative of s(b) wrt b?\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -2*k**3\/57 + 28*k**2\/19 - 392*k\/19 + 39. Factor i(t).\nAnswer: -2*(t - 14)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3836\/23 (b) -2 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 8 = 2*u. Suppose 0 = g + u*n - 18, 3*n = 2*g - 13 - 2. What is the remainder when g is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 577, 887, 1203, 1537, 1901, 2307, 2767, 3293?\n\"Answer: 2*y**3 - 9*y**2 + 323*y + 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2344471 is divided by 3216?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 3:13 PM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 403305139247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 52922012 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*p - 15*p**2 + p**3 + 14*p**2 - 866*p**4 + 867*p**4 in the form z*p + g*p**2 + a*p**4 + m + i*p**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -766461\/86360 - -2\/10795. Find the common denominator of j and (-2)\/(-4) - (-10)\/(-3).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-10 + 0) - (11 - 11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 9*q + 20. Put -3, 4, q, 1 in descending order.\nAnswer: 4, 1, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 + (-5356)\/(-117) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -2*s + s + 6, s - 5*k - 14 = 0. Suppose 5*h - 19 = 2*i + 2, 12 = -s*i. Suppose -3*r + h = -12, p - r = 4. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*m = -551 + 126 - 305. Solve 4*x = -q - 10, -12*x = -m*x + 4*q - 2 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2493 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 3*h**2 - 3*h + 2. Let r be m(2). Let x = 897146 - 897144. Factor r + 2\/17*s**x + 14\/17*s.\nAnswer: 2*s*(s + 7)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 3 = -3*n, -5*n + 5 = -v - 3*v for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 14426340 divided by -3606585\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 76.637?\nAnswer: 15.3274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4891*n**2 + 3836383*n - 3836383*n - 19014*n**2 to y*n + z*n**2 + t and give z.\nAnswer: -14123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*h + 1254 + 2545 = 0. What is the remainder when 76 is divided by h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5\/1256, -0.2, -4 in descending order.\nAnswer: 5\/1256, -0.2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fk when two letters picked without replacement from {f: 11, k: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 2*r - 83 - 41, 0 = 3*r + 6. Let m = h - -10. Let u = m - 25. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -523, -1047, -1571?\nAnswer: -2095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.75 - -2.27. Let a = d + -10.7. What is a rounded to 0 decimal places?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 1 - (-26 + 26) - 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21758253733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o + 4 + 12*o - 10*o + o**2. Let d(b) = -b**2 + 1. Determine -2*d(y) + x(y).\nAnswer: 3*y**2 + y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/(-5) - (-5)\/25. Is 25 a factor of (-1)\/q + (-148)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71178 is divided by 2736?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -647*l - 497*l + 164 - 164 as q + v*l and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a0b + -2?\nAnswer: a09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1151*r + 2*r**2 + 1151*r - 6 to s*r**2 + l*r + h and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of i**4\/12 + i**3\/2 + 5*i**2\/2 - 2*i. Let d be m(-5). Solve 5*r + 5*z - 5 = d, 3*z = -r + 12 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**5 + 5645*m**4 - 11305*m**3 + 5655*m**2.\nAnswer: 5*m**2*(m - 1)**2*(m + 1131)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 95 = -2*o. Suppose -24*r + 12*r - 216 = 0. Let y = o + r. What is the remainder when 3 is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wm when two letters picked without replacement from puwwwpwuwmpwwwpp.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 9 = -4*z, -2*j + 4*z + 6 = z. Suppose 0*k - k = -t - 41, 5*k + j*t - 197 = 0. Calculate the greatest common factor of k and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75204, -150410, -225616, -300822, -376028?\nAnswer: -451234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-160)\/(-24))\/((-1)\/30*-2) is divided by 22?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -930, 2\/17 in increasing order.\nAnswer: -930, -1\/4, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-3)\/b**(-2\/13)*(b**0\/b)**(2\/9) assuming b is positive.\nAnswer: b**(-359\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1114110328 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**3 - 112*o**2 + 214*o + 113. Let z be t(54). Put -1, 41, z, -4 in decreasing order.\nAnswer: 41, z, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -93*l - 91*l - 92*l + 276*l**2 - 150 + 276*l wrt l?\nAnswer: 552*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1828*x - 2*x**3 - 1832*x + 6*x**3.\nAnswer: 4*x**3 - 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -1\/2, 0.2, -2, -3\/14, 18, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + 3 + -3 + 8. Let t be 2\/(-6)*(-18)\/3. Suppose 0 = -4*o + t*o + 8. Solve v*w + o + 11 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from egeggegege. What is prob of picking 3 e and 1 g?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 510, -4, -1 in decreasing order.\nAnswer: 510, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, l: 3, s: 5, i: 5, j: 5}. What is prob of sequence skjs?\nAnswer: 25\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000046340995 rounded to seven dps?\nAnswer: 0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -361 - -366. Solve 2*z - 2*k + 2 = 0, 5*k + 35 = -s*z - 0*k for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bzhzzzzzizzheizizi. What is prob of picking 1 h and 1 z?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-153*a - 167 + 78 + 87)*(5*a + 9 - 1 - 9 - 75*a) as n + f*a + t*a**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/8)\/(9\/24). Let v be 2\/d + 41\/(-2). Let r be (-3)\/(-12) + 25\/v. Sort -2, r, 1.\nAnswer: -2, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-20 - 37)) + -40?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 363 (base 7) to base 9\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 87893*j**4*q + 2*j**4 - 16*j**3*q - 2*j**3 + j**2*q - j**2 - 8*j*q - 2*q + 4491 wrt j?\nAnswer: 2109432*j*q + 48*j - 96*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -16*v + 14. Let h(o) = -3*o + 3. Let q(s) = -11*h(s) + 2*x(s). Let t be q(4). Let p be t\/(-3)*3\/9. Is 0 greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8586426 millennia to decades.\nAnswer: 85.86426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33 + -28. Suppose -h - 17 = 3*j - 5, -r*j - 2*h = 19. Let u(n) = n + 5. What is u(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37395 and 240?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 47699. Let j(s) = -36*s**2. What is i(j(c))?\nAnswer: -1296*c**4 - 47699","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 + 22*t + 23. Let s be c(-21). Solve z - s + 0 = -i, -i = -2*z + 13 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 + 0)*(-b + b - b**5) - 2*b**5 - 2*b**3 + 2*b**3 - 5*b**3 + 5*b**3 - b**5 - 4 - 2*b**5 + 4 + (b**3 + 3*b - 3*b)*(b**2 + 5*b**2 - 5*b**2).\nAnswer: -8*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 12:42 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 10) to base 11\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1307 and 21366?\nAnswer: -2792.5362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 + 77. Suppose 3*f - 8 = -f. Suppose 0 = -2*n + n + s + 53, 0 = -f*n - 2*s + q. What is the greatest common divisor of 34 and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -52*v**2 - 1094*v - 9. What is the remainder when 3585 is divided by g(-21)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 4*x + 3*j - 13, 0 = 2*x - 2*j - 28. Let h be 196\/9 - x\/(-54). What is the greatest common divisor of 242 and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/9 + (-1281342)\/594. Let m = -2160 - p. Calculate the common denominator of m and -1\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of 0 + 0*w**2 + 0*w**3 - 3*w + 1\/15*w**6 + 0*w**5 - 1\/12*w**4. Find the third derivative of i(n) wrt n.\nAnswer: 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -972*r + 14181 = -19950 + 7887 for r.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1003 - -14002?\nAnswer: 12777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*q = -0*n + 111, 0 = 5*q + 5. What is the remainder when n is divided by 37?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7032323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -2, 4, -7, 1 in increasing order.\nAnswer: -7, -2, -1, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -5*w - 7. Let z(f) = -f**2 + f + 1. Let v(r) = -k(r) - z(r). Let x be v(-4). Let i = 7 - x. Solve -i = -c - 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -8. Suppose -5*z + 0*z + 10 = 0. Let k be z*(11\/2 - (-3 - -5)). Is a >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 0.1. Round v to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is bc - -1b?\nAnswer: d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 22103113301 (base 4) to base 7\nAnswer: 31646003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 467730.4 milligrams?\nAnswer: 467730400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 77*v - 94*v + 68. Solve 0 = -3*r + v*g + 93 - 111, -4*g + 24 = -4*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000102438 rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 - 14*b + 17. What is r(-13)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**3 + 51*a**2 - 55*a - 174. Let w(f) = -5*f**3 + 154*f**2 - 166*f - 518. Let k(j) = 8*u(j) - 3*w(j). Determine k(-55).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -795 - -473. Let r = 321.99206 + t. Round r to four decimal places.\nAnswer: -0.0079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1280 + g**3 + 34*g**2 - 3*g**3 + g**3 + 1699 with respect to g.\nAnswer: -3*g**2 + 68*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-4 - -7) + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 423930031?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -3*l. Let j(u) = 2*u**2 - 3*u**2 + 2*u**2 + u**2. What is j(p(c))?\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -13*d - 106. Let k be w(-8). Let b(f) be the first derivative of 5\/2*f**2 - 12 + f. Let v(u) = -u. What is k*v(s) - b(s)?\nAnswer: -3*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -3*k. Suppose 72*v - 42*v - 360 = 0. Suppose 2*a - 3*a + 4*f + 10 = 0, 10 = 4*a - f. Solve k = -a*c - c + v for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, 583, -14, -3\/5, 0.06, 3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-321)\/24 - -4 - 6\/(-8) and -41\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -3\/14, -3.\nAnswer: -3, -3\/5, -3\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 23*s**2 + 131*s - 1073. Determine c(26).\nAnswer: 305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**2 + 199392*v + 9939292416 = 0. What is v?\nAnswer: -99696","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3090.75 meters to nanometers.\nAnswer: 3090750000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -127*f**3 - 76212 - 148*f**3 + 76214 - 258*f wrt f.\nAnswer: -1650*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 210.000014 - 210. What is j rounded to 6 dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 7*s**3 - 2*s + 1. Let w = 669 - 668. Give n(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4281*u - 3996 = -4290*u. Calculate the least common multiple of 111 and u.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*p - 42 = 17*p. Suppose 2*b + 90 = 7*b + 4*u, 4*b + p*u = 66. Solve q - b = -6*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -106 + 108. Suppose 0 = -x - 0*x + 6. Suppose -x - 24 = -p*n. Solve -2*y + 35 = -5*v, -2*y + n = 3*y + 2*v for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2063920900 rounded to the nearest one million?\nAnswer: 2064000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00036895 rounded to 5 decimal places?\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**10*o\/o**3)**38 assuming o is positive.\nAnswer: o**304","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qrqqrqqqqqr. What is prob of picking 1 q and 3 r?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(5\/6)*k**29)\/((k\/k**(-28))\/(k\/(k\/(k**17*k)))) assuming k is positive.\nAnswer: k**(113\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + q + 3 = b, q = -b + 3. Let o be (17 - 2) + 135\/15. Solve -3*k + b*n = n + 19, 4*k - 2*n = -o for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8075 + -5325. List the prime factors of w.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 188\/(-8) + 143\/26 + -6. Let x(j) = -2*j**3 + 3*j**2 - 2*j + 4. Let h be x(3). Let d = c - h. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.087 - 3770904.8367.\nAnswer: -3770904.9237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -10*q**3 + 9*q**2 - 2*q - 2. Let y(g) = -19*g**3 + 19*g**2 - 5*g - 5. Let t(p) = 5*r(p) - 2*y(p). What is the third derivative of t(b) wrt b?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0012266731 rounded to 6 dps?\nAnswer: -0.001227","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 36?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5184 and 1728.\nAnswer: 5184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of w**3\/3 + 5*w**2\/2 - 4*w + 7. Let j be k(-6). Calculate the remainder when j - (-28 - (-2 + -1)) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -53 + 32 + -34 + -6.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(252)*6)**2.\nAnswer: 36288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {i: 14, w: 1}?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + -1 - (0 + -11). Let y be (6\/2 - (-242)\/(-33))*-9. Let p = y + -27. What is the highest common divisor of p and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b0 - 281a7?\nAnswer: -280c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/48569730 and -103\/106853406.\nAnswer: 534267030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of o**4\/3 + 80*o**3\/3 + 408*o**2 + 166*o - 1. Let v(b) = 0. Calculate b.\nAnswer: -34, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45.963 - 46. Let f = 54.96216 - 55. Let b = f - t. Round b to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaaaaaaawaaaaaaw. Give prob of sequence waw.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 3 + x)*(3 - 9 - 2).\nAnswer: -8*x - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {s: 15, a: 4}.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 5*c - 21 = 0, -2571*h - c = -2566*h + 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59411028 divided by 404.\nAnswer: 147057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -481 divided by -6.\nAnswer: 481\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 10.7. Let m = -4 + 5.6. Let s = m - 1.6. Which is the third biggest value? (a) j (b) s (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 391728125 divided by 3133825\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 0) + -8 + 4 + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millisecond in microseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 59 - 7 = 0. Is 1 - (a - 3) - 3 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**5\/5 + 628*j**4\/5 - 11126*j**3\/5 + 42272*j**2\/5 - 31776*j\/5 = 0. What is j?\nAnswer: -331, 0, 1, 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -179788 at most -179812?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-406)\/(-522) - 4\/(-72)*4. Solve z + 5*q - 3*q = t, z = 2*q - 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2401.65 - 4088.14. Let r = -1673 - d. Let i = 13 - r. Round i to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 257*x + 35. Let d(w) = 256*w + 28. Give 6*d(l) - 5*z(l).\nAnswer: 251*l - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 4*t + 4*a, -8*t - 5*a - 5 = -13*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1121.74 + -1116.74. Let u = 209 - 1675\/8. What is the closest to 0 in u, 3, g, -3\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 1085*f**2 + 5*f + 7. Is y(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2856 and 30866577.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -204 divided by 51.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -319*j - 2. Is z(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 4)*(3 + 1 - 2)*(-1 - 5 + 3)*((-4*w + 0*w - 2*w)*(3 - 5 - 4) - 4 + 4*w + 4).\nAnswer: 960*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 495924 and 1320.\nAnswer: 4959240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -8, 1, 9 in decreasing order.\nAnswer: 9, 1, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(2\/3))\/c*c)\/(c*c\/(c*c**(2\/7)))*((c*c**(-7))\/c)\/((c*c\/c**5)\/c) assuming c is positive.\nAnswer: c**(-71\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 7755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of h**6\/24 - h**5\/2 + 5*h**4\/2 - 20*h**3\/3 + 14*h**2. Factor i(w).\nAnswer: 5*(w - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.624 - 12.024. Let g = i + 11.7. Sort -1, g, -5\/6 in ascending order.\nAnswer: -1, -5\/6, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -961, -5, -3, 1, 5, 74 in increasing order.\nAnswer: -961, -5, -3, 1, 5, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1516621 is divided by 538?\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98854.09 microseconds to seconds.\nAnswer: 0.09885409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-564)\/(-47))\/((-9)\/6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(98)*-1 + sqrt(4)\/(sqrt(2)*-2) + 3)**2*3.\nAnswer: -639*sqrt(2) + 15177\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5576 and 2480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 k when four letters picked without replacement from cqkkgqkjk.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - ((-10)\/2)\/1. Let p(y) = -y - 1. Suppose -16*x - 24 = 5*x - 45. Let l(b) = 9*b + 8. Give n*p(i) + x*l(i).\nAnswer: 3*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 8*c**2 + 184*c + 880. What is f(-5)?\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -56 - -13. Let d = v - -117. Is 5 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence az when two letters picked without replacement from zaz.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5 + (-4*(sqrt(19) + -2))**2.\nAnswer: -64*sqrt(19) + 366","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fppffpfpffpp. What is prob of sequence pp?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 11*v + 3. Let c(p) = -4*p - 4. Let i(g) = 1. Let f(s) = -c(s) - 3*i(s). Let h(l) = -3*b(l) + 8*f(l). Differentiate h(y) with respect to y.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/33? (a) 0.3 (b) -56 (c) 1\/3 (d) 4 (e) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 126, -3\/5, 639, -1\/4, -1\/24?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5830ab (base 15) in base 13?\nAnswer: -b46305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 14, 9, 2, -7, -18?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-104)\/24 - -4) + 20\/6. Let l(k) be the second derivative of -1\/2*k**3 + u*k**2 - 1\/4*k**4 + 4*k + 0. Solve l(t) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1484307 and 0.5.\nAnswer: 0.07421535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 115.537 - -6.603. What is z rounded to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -16478*o + 321. Let u(h) = -103*h + 2. What is 321*u(q) - 2*x(q)?\nAnswer: -107*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = 2*v + 14 - 0, -2*v - 6 = t for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 209 divide 55735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) 2\/181 (b) 0.4 (c) -4 (d) -65 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p + 13. Let g be u(-9). Let m = g + 4. What are the prime factors of ((-21)\/(-6) + m)*4?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*u = 156*u - 51*u + 4320 for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.35 - 3.5. Let i = n + -0.15. Let z be -1 - -1 - ((-28)\/(-7))\/12. What is the fourth smallest value in z, -3, -4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 719 + -779. Let a = 239453122 + -239453062.0000355. Let o = j + a. What is o rounded to 6 dps?\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -488500301.1 to the nearest 10000.\nAnswer: -488500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2 - 229047510*l + 229047507.\nAnswer: 3*(l - 76349169)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6553, -6560, -6563, -6556, -6533, -6488?\n\"Answer: n**3 - 4*n**2 - 2*n - 6548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a - 16. Let n be r(16). Let c be (-6)\/15 - (-68)\/70. Do n and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6297 divided by 3.\nAnswer: 2099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2320233310 (base 4) to base 10\nAnswer: -756724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 166179?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k = 181628 + 1527 + 57919. What are the prime factors of k?\nAnswer: 59, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -675, -960, -1245, -1530?\n\"Answer: -285*q - 390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1990.98 - 2008. Let q = r + 17. Let f be (-30)\/16*(-14)\/35. What is the closest to 0.1 in f, -1\/2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10746 - 2582.\nAnswer: -13328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1113490*u - 977967.\nAnswer: 1113490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j + 5 + 5*j - j + j + 15*j**5. Let v(g) = 23*g**5 + 9*g + 8. Let f(h) = -8*i(h) + 5*v(h). What is the second derivative of f(t) wrt t?\nAnswer: -100*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 85, 144, 207, 268, 321, 360, 379?\nAnswer: 372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 133224 to the power of 1\/2, to the nearest integer?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 37260 = 101430. Let x be ((-12)\/(-60))\/(3\/o). Calculate the highest common factor of x and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rxaxrxxrxaxrrgxgx. What is prob of sequence xgxa?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -93 (c) 0.2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 6*d**3 - 2*d**2 - 6*d - 7. Let y(p) = -18*p - p**2 + 5*p**3 + 12*p - p**2 - 6. Let x be (0 - -2*1)\/(579\/(-1737)). What is x*j(m) + 7*y(m)?\nAnswer: -m**3 - 2*m**2 - 6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - -2. Suppose -4 = 3*w + j, 27 = 3*u - 4*w. Suppose 5 + u = 5*g. Solve -g*r = -3*r - 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (204\/15)\/(54\/30)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.07 + -33.93. Let f = g + 33.87. Let j be (1\/1 - (-6 + 7))\/1. What is the smallest value in 0.5, j, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 = d - 6*d. Suppose d = -7*z + 289. Let q = 176 - 162. Calculate the remainder when z is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**2 - 585894*h + 28605981603 = 0 for h.\nAnswer: 97649","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + 0\/3 - -2. Let b = -9\/5 + 7\/5. Sort -5, o, b.\nAnswer: -5, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (1 - 2 - -8)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 30 = 11. Let m be 2\/4 + (-20920)\/80. Let j = m + 282. What is the remainder when x is divided by j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 b when two letters picked without replacement from {s: 3, b: 1, d: 1, u: 4, m: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20872 - -41166. What is the thousands digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*r - 2*r - 3*r)*(-4 + 1 + 8)*(140*r + 2*r + 62*r) to u*r + b*r**2 + a and give b.\nAnswer: -2040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*n + 14 = -2*f - 51*n, -5*f = -3*n + 14. Let c be (2\/f)\/((-52)\/208). Solve c*q = 5*q + 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*4*(sqrt(68)\/sqrt(4))**2.\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 54449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 116, 134, 152?\nAnswer: 170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, d: 3, u: 3, r: 10}. What is prob of picking 1 r, 1 d, and 2 u?\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-55)\/(-66) - 165\/(-110)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 278 + -270 + (0 - 23) - 20\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/24*(-64)\/544)\/(1\/(-4)).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*2\/2*(168\/7)\/8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -173*v - 25083. Give j(-145).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232*o + 58*o - 3711 = 5183 + 4156 for o.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -0.093 (c) 0.268 (d) 187\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 61568 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33634 and 268?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(114)\/sqrt(3)*-4)\/sqrt(450))**2.\nAnswer: -608\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - (2 - -1) - -12. Solve -5*d = 2*b - 4, 5*b + 5*d - d - c = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b - 25. Let k = 324 - 325. Let a(q) = -q + 6. Let x(p) = k*i(p) - 4*a(p). Give x(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.13 * -8.01089.\nAnswer: 1.0414157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 8) to base 15\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 73 = 5*r, -4*k = 2*r + 19 - 77. Calculate the remainder when 224 is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -4*f + 165. Let r be i(-27). Let v = r + -1091\/4. Factor -v*c**2 - 3\/4*c - 1\/2.\nAnswer: -(c + 1)*(c + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-33)\/j*j**14*j**21\/(j**(-5\/6)\/j))**29 assuming j is positive.\nAnswer: j**(493\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8439?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4863?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 24*n**2. Let k(z) = -2*z**2 - 9*z - 9. Let q(l) = -l**2 - 4*l - 4. Let i(y) = -4*k(y) + 9*q(y). Determine m(i(g)).\nAnswer: 24*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 4491 divide 194756706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddcdc. Give prob of sequence dcc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73489.\nAnswer: 13, 5653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 4426 - 16839 = -5*b. List the prime factors of b.\nAnswer: 4253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101011 (base 2) to base 9\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l - 31. Let w be g(10). Let y(t) = -15*t**3 + 3*t**2 + t - 1. What are the prime factors of y(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -14 + 0 - 11*f - 43. Let z be i(-5). Let p(s) = s**3 + 2*s**2 + 1. Let v(g) = 2*g**3 + 4*g**2 + 3. Determine z*v(h) + 5*p(h).\nAnswer: h**3 + 2*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -0.14 (c) 46\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 + 53*t - 160. Let g be c(-48). What is g rounded to the nearest 10?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 459 divide 348290577?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10817 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 3) to base 7.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23392141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5908 + 4574 = -144*z + 5146 for z.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(-3))\/(((y**(-14)\/y)\/y)\/y))**(-1)\/(y\/(y**(-6)\/y*y)*y*y**(-1\/13)\/y)**(2\/53) assuming y is positive.\nAnswer: y**(-11204\/689)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -492.819437 rounded to the nearest integer?\nAnswer: -493","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 35*m**3 - 690*m**2 + 3300*m + 1000 = 0?\nAnswer: -2\/7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6*(-2)\/(6\/(-9)*-12). Let n = 0.63 + -0.33. What is the nearest to -1 in n, v, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/(135\/(-50))*(-9)\/3. Suppose -9*t - 9 = -q*t. Is 2 at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*f + 8. Suppose -f*l + 14 = 2. Calculate the lowest common multiple of -3*(10\/(-3) + 2) and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -359, -710, -1061, -1412, -1763?\nAnswer: -2114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 18534 (base 16) to base 14\nAnswer: 2844c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 11:48 AM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 51 - 356\/7. Let u(i) = -i**3 + 5*i**2 - 4*i + 1. Let s be u(4). Which is the closest to 2? (a) s (b) x (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -119*h - 11647. Calculate i(-98).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5313894992, -5313894993, -5313894994, -5313894995, -5313894996, -5313894997?\n\"Answer: -h - 5313894991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.308 + -0.008. Let w = 3.4 - r. Let j = w + -0.75. What is j rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15.4 and 380201.\nAnswer: -5855095.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -58*f - 7. Let r(q) = -58*q - 8. Calculate 7*m(b) - 6*r(b).\nAnswer: -58*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.93 + 90.07. Let c = -146 + l. Let t = c + 57. Does 0.039 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 100460.0009 + -100454. Let u = 6 - f. Round u to 4 decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 471102479.\nAnswer: 47, 1531, 6547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**16\/d**25)\/(d**30*d*d**41*d) assuming d is positive.\nAnswer: d**(-82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -59.1 - -62. Let w = f - 2.6. Let z = 2.03 - 0.03. Which is smaller: w or z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11715*i**2 - 10461*i + 10461*i.\nAnswer: 11715*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) - sqrt(119)*-1*1)\/sqrt(7) + -4*(1 + sqrt(272)))**2.\nAnswer: 112*sqrt(17) + 3348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5676.556 centuries to months.\nAnswer: 6811867.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 34012?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1847, 8959, 20813, 37415, 58771, 84887?\n\"Answer: z**3 + 2365*z**2 + 10*z - 529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -50*n**3 + 2*n**2 - n - 4. Let j be s(2). Let k = 1593 - j. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/936 and -1\/6916.\nAnswer: 124488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 5)*(-1 + 3 - 3)*(-2*p**2 + 2*p**2 - 6*p**3 + (-p**2 - p**2 + 3*p**2)*(p - 3 + 3)).\nAnswer: 10*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (5\/15)\/(0 + 70\/(-441)) and 32\/1045?\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 65 = -8*u. Suppose -u = -3*c - 1. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1150 = -16*v + 1506. Calculate the highest common factor of v and 2407.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22134864 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/36573596 and -5\/92?\nAnswer: 841192708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8946 take away -9?\nAnswer: 8955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 459 and 40239.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58000082 is divided by 1686.\nAnswer: 1682","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46681908 divided by -806.\nAnswer: -57918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -445, -472, -519, -586, -673?\n\"Answer: -10*t**2 + 3*t - 438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/15952 and 119\/360.\nAnswer: 717840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 2:38 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 39902807557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1557396878?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2))\/((-2)\/4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65816102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -8*u + 3*u + 3*p, -5*u - 2*p - 3 = 0. Let f be -10*(2\/5)\/u. Suppose j = -3*j - f. Is j greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k**2. Suppose 0 = 3*w - s - 1, 3*w + 2*s = s + 5. Let l(x) = w - 2*x**2 - 1. Calculate l(b(c)).\nAnswer: -18*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 466117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -105 - 135. Suppose 0*t - 2*t = -a - 3, -5*a - 5*t = -m. Suppose k - 3*k + 14 = 3*h, k = -h + 4. What is the lowest common multiple of a and h?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 8*i - 42 = 0. Suppose 2*q = -i*q + 352. Solve o = -2*z - 8, 4*z + q = -0*z + o for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 6*q - 22 + 11*q**3 - 8268*q**2 - 8276*q**2 + 16544*q**2 as w*q + u + t*q**2 + k*q**3 and give u.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of r**5\/240 - 5*r**4\/32 + 60*r**2 - 1. Factor c(a).\nAnswer: a*(a - 15)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10.3 + 0.7. Let b = v - 11. What is the nearest to 0 in -2\/3, b, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x. Let n be 1 + 2\/2 + 1. Suppose -3*j + 2*d = -n*d + 25, -3*j - 4*d + 20 = 0. Let t(u) = u + u + j*u. Calculate i(t(y)).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4478414195 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -107*f - 85*f + 9*f - 200*f + (-2*f + 2*f + 2*f)*(-14 + 34 + 8).\nAnswer: -327*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1147 - -5?\nAnswer: -1142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, 6, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 7*t + 15. What is b(7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-160)\/96 - (-8)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 208 and 10348.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**3 - 9*h**2 - 25*h + 33 = 0.\nAnswer: -3, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 5, 0.5, -2, 19?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (333\/(-45) - -6) + (60\/(-25))\/(-6). Let v(t) = -4*t**2 - t - 1. Let o be v(-2). Put -4, b, o in descending order.\nAnswer: b, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -1796*u**4 + 2*u**2 + 6281*u - 2. Let g(j) = 3587*j**4 - 5*j**2 - 12558*j + 5. Let o(z) = 5*a(z) + 2*g(z). Find the second derivative of o(q) wrt q.\nAnswer: -21672*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*p + 60 = -11*p - 10*j, 12 = -p - 2*j for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3998 divided by 4?\nAnswer: -1999\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -18*i**2 - 519*i - 423. Give s(-28).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 469?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -2\/5*c**2 + 0 + 6\/5*c = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 163269\/786896 + 6\/2893. What is the common denominator of 39\/34 and l?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6685673536 and 5.\nAnswer: -6685673531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 751, 1696, 2647, 3604?\nAnswer: 4567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*m**3 - 32 + 32)*(-3*m + m + 3*m) - 1788*m**3 + 1788*m**3 - 13*m**4.\nAnswer: -21*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00142 to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 33325207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 31012 in 205, 2\/11, 2\/9, 0.3?\nAnswer: 205","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 29*v - 19*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*u - 268. Suppose -2*s = -3*k + u, 0*s + s - 70 = -5*k. Let g be (0 - 0) + (1 - 1). Solve g = 3*j - 3 + k for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 786*0.1\nAnswer: 78.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -371 divided by 2?\nAnswer: -371\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**3 + 259 + 0*t**3 - 241 + 2*t to the form f + i*t**3 + m*t + w*t**2 and give f.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 3*t**2 + 2*t + 2. Let r be h(-3). Suppose 0 = -u - 4*u - 200. Calculate the remainder when 5\/(u\/92)*r is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8.1 times -0.4\nAnswer: 3.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 + q. Let g(m) = m**3 - 3*m**2 - 2*m + 4. Let u be g(3). Let r be ((-2 - u)\/3)\/(-1). Let o be c(r). Solve z + 1 - 3 = o for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a minute in milliseconds?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-15)*15\/6*3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/17812 and 69\/8?\nAnswer: 35624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(77)*-3 - sqrt(77))*-2)\/(sqrt(847)*4))**2*5.\nAnswer: 80\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 522\/162 - 6\/108*4. Let q(y) = -2*y**2 + 5*y - 3. Let f(u) = 2*u**2 - 5*u + 3. What is v*q(o) + 4*f(o)?\nAnswer: 2*o**2 - 5*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4201\/4 + -1050. Let u(k) be the second derivative of -1\/3*k**3 + 1\/4*k**4 - 1\/10*k**5 + 0 + c*k**2 + 3*k + 1\/60*k**6. Determine j, given that u(j) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 53698552 and 75700?\nAnswer: 3028","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 2113601756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, b: 3, l: 4, h: 1, e: 3, f: 1}. Give prob of picking 1 f, 1 h, and 1 p.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43.1 - 1.1. Let l = 41.99999962 - j. Round l to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i + 4*f - 18, -i - 675*f + 679*f = 21 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(35) - sqrt(35)*-2 - sqrt(35))*2)\/(sqrt(7) - (sqrt(7) + (sqrt(7) + 2*1*sqrt(7) - sqrt(7)))).\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 158 + -151 - (2 + 25 + -1).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22346781 and 2515.\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -19*d**2 - 73*d + 556. Give z(-8).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 51320057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2066 * -0.072.\nAnswer: 148.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**0\/u)**(16\/3))**(-2\/23))**(-30) assuming u is positive.\nAnswer: u**(-320\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*d = 398 + 485 - 55 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 - 1 + 1 + (r - r - r)*(-2 + 2 - r) - 2*r**2 + 15*r**2 - 3*r**2)*(-4*r**3 + 0*r**3 + 2*r**3).\nAnswer: -18*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/21*(462 - 12). Is p bigger than 151?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 5*z = -10 + 23, -3*a = -4*z + 8. Let s(r) = 2*r - 4. Let u(w) = 3*w - 4. Give a*s(c) + 3*u(c).\nAnswer: c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from 694277.87668497.\nAnswer: 694277.57668497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1600.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -12, 3, 60, 183, 396, 723?\n\"Answer: 4*f**3 - 3*f**2 - 4*f - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 15\/(-6))*2\/(-12)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 132 = -3*g. Let t = -18 + g. What is the third derivative of 10*z**6 - 7*z**2 - 9 + 24 - t wrt z?\nAnswer: 1200*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 87477 and 195?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -962405*p**3*v - 8*p**3 + 757*p**2 - 9*p*v + 34*v wrt p.\nAnswer: -5774430*v - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 601324.4 kilograms to nanograms.\nAnswer: 601324400000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 2*y + 4 = 0, 2*b + 30*y - 27*y = 6 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 5) to base 7\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 147.4156 meters in centimeters?\nAnswer: 14741.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**2 + 12*o - 4. Let z be m(1). Solve 0 = 4*i + a - 25, 4*a - 6*a - z = -4*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 19*u**3 - 971*u**2 + 3*u + 3. Let a(k) = -17*k**3 + 974*k**2 - 4*k - 4. Let q(m) = 3*a(m) + 4*b(m). What is the third derivative of q(l) wrt l?\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -2*k. Suppose -873*p + 874*p - 3 = k. What is the remainder when 24 is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of 2025\/8*v**2 + 0 + 1\/48*v**4 - 15\/4*v**3 + 119*v. Factor r(f).\nAnswer: (f - 45)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28825*t - 154 = -28811*t. Sort t, -5, 2, 4, 3 in descending order.\nAnswer: 4, 3, 2, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*g - 1206 = 31*g. What is the second derivative of -g*o**2 - 103*o - 48*o + 13*o - 83*o wrt o?\nAnswer: -268","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 4*u + 2. Let d(k) = 1. Suppose 8*j - 7 = j. Let s(b) = j*d(b) + h(b). Determine v, given that s(v) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 4*o + 16 = -0, -3*b + 2*o = -15. Which is bigger: b or 6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/91378 and -53\/11984.\nAnswer: 731024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2\/37)\/q*q*q*q*q*q*q**9*q*q*q**(-1\/17)\/q**(1\/4) assuming q is positive.\nAnswer: q**(36827\/2516)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5183)\/(-1022) - 1\/14.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - u - 2. Let j be n(0). List the prime factors of j + 28 - (4 - 2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 3)*(-1 - z + 1) + 7*z - 6*z + 8*z.\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24878468 by -1.\nAnswer: 24878468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226521?\nAnswer: 3, 25169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 10:09 PM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*m - 99 = -3*k, 0 = 16*k - 11*k for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 341965238?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4254 - 4914 = -165*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1315*b**2 - 143*b + 1325*b**2 + 143*b.\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -181415 + -16?\nAnswer: -181431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31425 by 71.\nAnswer: 31425\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - a - 2*a**2)*(3 - 4 - 3) + (3 + 1 - 3)*(-2*a**2 - 3 + 0 + 2).\nAnswer: 6*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9223150 and 125?\nAnswer: 46115750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + (-14 + -13 - -16) + -1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132766024?\nAnswer: 2, 71, 233743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -745 - -808. What is the greatest common divisor of z and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1300) + 1 + 1*sqrt(1300)*3)**2 + sqrt(1300) + -3*(sqrt(1300) + 2) + (1*sqrt(1300)*5 - sqrt(1300))**2 + -3.\nAnswer: 80*sqrt(13) + 53292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 766\/400 - (24 - 21564\/900)\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -243*f**2 - 108. Let b(q) = -730*q**2 - 342. Let c(z) = 6*b(z) - 19*y(z). Let m(h) = -24*h**2. Give m(c(l)).\nAnswer: -1348056*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -274.\nAnswer: -1\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19252959367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45.195 - 45. Let m = -0.001 + c. What is m rounded to two decimal places?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u + 2*u + 0*u - u - u + 0*u + (-4*u - u + 3*u)*(-5 + 3 + 3) - 5*u + 5*u + u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1838, 3676, 5514, 7352?\n\"Answer: 1838*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r + 16. Let u be m(-14). Suppose 0 = -4*p - 2*w + u, -w + 3 = 5*p + w. Solve 5*v - 6*v = -p for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8*(-9)\/(-24))\/(-1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29437840?\nAnswer: 2, 5, 19, 107, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 7*w**2 - 8*w - 4. Let s be k(8). Let f = 0.5 + -0.4. Put 2\/11, f, s in increasing order.\nAnswer: s, f, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*l**3 + 362807*l**2 - 3*l - 177116836.\nAnswer: -21*l**2 + 725614*l - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q - 670 = -12*q. Calculate the remainder when q is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -3*v + 5. Let h(j) = j**3 - 29*j**2 + 2*j - 56. Let t be h(29). Let s be -2 - t\/4*-18. Give y(s).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 8 = -2. Suppose 6 = -u - 3*f, u - 2*u = a*f + 16. Solve 5*t + 1 = -u for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 28956?\nAnswer: -28956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k**2*z - 2667806*k**2 + 4011753*k*z wrt k?\nAnswer: -2*z - 5335612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 13068689.07 to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 5*x**2 - 13*x + 3. Let m be w(-6). Let c = 208 - m. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18.9999912 + -19. Let t = m + 0. What is t rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100221212 - -21221?\nAnswer: 101020210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 856 is divided by 130.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.11? (a) 0.2 (b) -1 (c) -0.4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -305909, -307990, -310071?\nAnswer: -312152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + p - 24 = -p, 2*p - 16 = -3*s. Suppose -54 = -s*a - 18. Does 9 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -64*p**3 + 8*p**2 - 3*p + 144. Let l(t) = 214*t**3 - 24*t**2 + 10*t - 432. Determine 10*j(m) + 3*l(m).\nAnswer: 2*m**3 + 8*m**2 + 144","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3*m = 42. Suppose -4*a + 119 - 31 = 2*x, 2*a - 146 = -4*x. Let s = m + x. Calculate the remainder when 37 is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 4) to base 12.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -119 + 133. Calculate the remainder when 25 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 87 by -20.\nAnswer: -87\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56263?\nAnswer: 56263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 c when four letters picked without replacement from chcnhnnhvhnnnnn.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8213\/301 + (-6 - (-280)\/49)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-8) + (-8)\/(-32). Let r be ((-1)\/(-2))\/((-3)\/4). Which is smaller: r or d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 5 = 4*m + 15, -4*m - x = -4. Suppose m = -4*d - 2*o + 204, -5*d + 0*o + 255 = o. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + 1)*(2*h + 5*h - 6*h) - 29*h + 16 - 16 + (0 + 0 - 2)*(4*h - 2*h - 4*h) - 2*h + 5*h - h + (2*h - 3*h + 3*h)*(2 + 1 - 1) to y*h + s and give y.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 743321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 706.\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qi when two letters picked without replacement from iiiq?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9138.821 and 0.7?\nAnswer: -6397.1747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3118425?\nAnswer: 3, 5, 41579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -s**2 + 2*s - 2 + 1\/2*s**3. Let g(j) be the first derivative of f(j). What is g(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*v = 0, -8543*v = -2*j - 8542*v for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + 9*g - 4. Let m be h(9). Calculate the common denominator of 26\/(-88) + m\/16 and -48\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*o + 1 + 11. Suppose 3*h - o*l - 255 = l, 84 = h - 2*l. List the prime factors of h.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(2\/19)\/u)\/(u**(2\/5)*u*u))\/(u**3\/((u\/u**7)\/u*u)) assuming u is positive.\nAnswer: u**(-1073\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -111.2 + -1045774?\nAnswer: -1045885.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -43 - (0\/(-1) + -3). Let f be (48\/g)\/((-3)\/10). Suppose 131617 = -f*i - 3028383. What is i rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 173\/4 - 43. Let a = -11 - -45\/4. Factor a*n**2 + 0 - 1\/4*n**3 - 1\/4*n**4 + q*n.\nAnswer: -n*(n - 1)*(n + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**4 + 84*r**3 + 942*r**2 + 2716*r - 3744 = 0.\nAnswer: -26, -9, -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2*n + 6*n**2 + 1 + 3)*(5 - 17 + 5) to j + q*n**2 + k*n and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2246.432um in millimeters?\nAnswer: 2.246432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15 + 101?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 - 73*m**2 + 976*m - 3648.\nAnswer: (m - 57)*(m - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332163 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4785482\/19645 - -8\/3929. Let z = u - 8371\/35. What is the common denominator of ((-106)\/6)\/((-8)\/(-3)) and z?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 5*o**2 - 23*o - 4. Let a(i) = 14*i**2 - 68*i - 11. Determine -3*a(g) + 8*x(g).\nAnswer: -2*g**2 + 20*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 + 1)*(-4 + 1 + 2) + 0 + 3 - 1)*(7*r**5 - 12*r**5 + 27*r**5).\nAnswer: 66*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 183 divide 742086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -445481\/20 + 22279. Calculate the common denominator of s and 2\/(-3)*249\/(-8).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 at least 146056\/12657?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/13))**(3\/5)\/((g**(-9)\/g)\/g**(-3\/11)))**(-1\/53) assuming g is positive.\nAnswer: g**(-6889\/37895)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 + 5*h + 10. Let x be a(7). What is the remainder when 906\/24 + 2\/8 is divided by (13\/x)\/((-2)\/8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14218 times -0.9516\nAnswer: 13529.8488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (104*y + 16*y - 18*y)*(4*y**3 - 3*y**3 + 0*y**3) + 4*y**2 - 4*y**2 + 3*y**4.\nAnswer: 105*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7779.28l in millilitres?\nAnswer: 7779280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2140736993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2678178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 7*z**2 + 8*z - 6. Let v be d(-5). Solve -28 = 3*y + v*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**7)**32 assuming d is positive.\nAnswer: d**224","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/162)\/(3\/9)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 282881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 equal to -31153226?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 0, 2, -0.9, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*t + 4781 = 43*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1212839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/20*(-30)\/(-90)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 3:28 AM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18206 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+-491\nAnswer: -491.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 9.403, -1, 2\/505 in ascending order.\nAnswer: -7, -1, 2\/505, 9.403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4957478 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of -19*q**3\/3 + 405*q. Let y(h) = -9*h. What is y(v(f))?\nAnswer: 342*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 340 is divided by 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3\/5 - 10413*z**2\/5 - 12047841*z\/5 - 4646450679\/5.\nAnswer: -3*(z + 1157)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u - 1. Let q be v(-1). Let c(n) = 8*n. Let r be c(q). Suppose -3*h - 1 = -r. Solve h*x + 5*m = 5, 0*x - 2 = -2*x - 5*m for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7450 and 1192?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = l - 2 + 12, 0 = -2*l + 4*w - 6. Suppose -3*p - p + 4 = 0. Let s be 9\/(-2) - p\/2. Are l and s nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/11, 4, 3, 911\/4?\nAnswer: 911\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**3 + 5*k**2 - 5*k + 2. Let w(r) be the third derivative of r**6\/40 - 2*r**5\/15 + r**4\/3 - r**3\/2 + 7*r**2. Calculate 8*g(h) + 5*w(h).\nAnswer: -h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/6 and -49\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -11*i - 1 + 10*i + 2. Let g be b(-2). Suppose -g*m = -198 - 285. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express w**2 - 2*w + w**2 - w + 7*w**2 as h*w + i*w**2 + a and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 151047 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(1216) + sqrt(1216) + 0 + -1))**2.\nAnswer: -128*sqrt(19) + 19460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of 2*s**3\/3 - 26*s**2 + 391. Let q(h) = -5*h. Give t(q(f)).\nAnswer: 50*f**2 + 260*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 68638585 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + v**2. Let t(n) = -5*n**3 + 7*n**2 + 1. What is 6*k(m) - t(m)?\nAnswer: -m**3 - m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 16) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 19*a**2 + 35*a + 15. What is m(-17)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -11*k + 2. Let g(l) = 11 - 4*l + 4 - 12 - 7*l. Let s(q) = 3*a(q) - 2*g(q). Let u(n) be the second derivative of n**3\/6 - 2*n. Calculate u(s(d)).\nAnswer: -11*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-393*(-1)\/(-20))\/(3\/(-4)). Let x = w + -26. Which is smaller: x or 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, x: 6, o: 3, n: 6}. Give prob of picking 1 n and 1 c.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*p = -10, 16 = t - 5*p - 2. Sort 0, t, 5, 3 in ascending order.\nAnswer: t, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4679.8252+-10.95\nAnswer: -4690.7752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 360780 and 588?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of 0 + 2\/3*r**3 - 1\/8*r**4 + 0*r - r**2. Let a(v) = 8*v - 11. Let s = 0 + -4. Calculate s*a(z) - 11*f(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -72 - -37. Let n = r - -52. Let a be ((-55)\/(-2) + -2)\/((-7)\/(-14)). What is the greatest common divisor of n and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -10*b**2 - 17*b - 15. Determine c(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*r - 362 - 408. Let x = 168 + r. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0738 - 4591107.\nAnswer: -4591106.9262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 212858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 670 is divided by 41.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1092 and 37884.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 645 = -60*j + 1005 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and -0.13?\nAnswer: -0.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -201 - -207. Suppose -d*c + 9*c = 5*c. Solve c = -3*n - 9 + 24 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)*-1*5)\/sqrt(8).\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8126.2 rounded to the nearest 10?\nAnswer: 8130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 426 is divided by 141?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in nine tenths of a micrometer?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + o**2 - 6*o - 2. Let r be z(-3). What is the remainder when 131 is divided by 25 + (r - 2) + 1?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40 by 2.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s + 0*s - 384*s**2.\nAnswer: -384*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-3 - 1 - -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 216675 and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1980636.6 and -7973.9.\nAnswer: -1988610.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 3178*s**4\/19 - 2*s**3\/19 - 9534*s**2\/19 - 6350*s\/19 + 4\/19 = 0.\nAnswer: -1, 1\/1589, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5457 or 5456?\nAnswer: 5456","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 10 - 6*p + (0*p + 10*p - 2*p)*(1 - 1 + 2))*(8*p**3 - 3*p**3 + 3*p**3).\nAnswer: 80*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of 1583*y**3 + 3199*y**2 - 705. Find the second derivative of z(l) wrt l.\nAnswer: 9498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.15 + 0.15. What is the nearest to d in -1\/5, -4, -1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h**2 + 0*h**2 - 4*h**2 + (-2 - 1 + 2)*((2 + 3 - 3)*(h**2 + 2*h - 2*h) + 140*h + 28*h**2 - 140*h) to l + u*h**2 + j*h and give u.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/7*(9\/51 - 248480\/5440)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 582550*g + 2*g**2 - 582550*g.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 1 + 7. Suppose m*n = 5*i + 33, 4*i - 2 = -22. Solve -w = -n, -u - 3*u = 2*w for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.3 - 10.7. Let x = -14.1 - u. Let g = -1.3 - x. What is g rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*c = -0*c. Solve 2*z + 0*z + 3*u - 3 = c, -5*z - u = -14 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 9*b + b**3 - 2*b**2 - 12*b**2 + 4*b**2. Let s be x(9). Round s to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 13*s - 115. Let y(i) = 18 + 14 - 16 - s*i. Let l(v) = -7*v + 11. Calculate 7*l(r) - 5*y(r).\nAnswer: r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.5 + -6. What is the third biggest value in -2\/17, 6, d?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 4:19 AM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1280) + 2*sqrt(1280)*2)\/(sqrt(90)\/(3*(sqrt(9) + sqrt(36)\/sqrt(4)))).\nAnswer: 240*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -117*0.1\nAnswer: -11.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qzvy when four letters picked without replacement from {e: 1, y: 1, v: 1, q: 1, z: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.4, -6, -1\/41, 4430.\nAnswer: -6, -2, -1\/41, 0.4, 4430","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s + 3*s - s + (-55247 + 27629 + 9920*s + 27618)*(-3 + 5 + 0).\nAnswer: 19838*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178245971?\nAnswer: 178245971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 49, 456, 1125, 2056, 3249?\n\"Answer: 131*x**2 + 14*x - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/6*(-10 - -5).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3898 + 1388. Round p to the nearest one hundred.\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223 is divided by 123?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -128 - -128.4. Let d(n) = n**3 + 3*n**2 + 2*n + 2. Let i be d(-2). Let v be 0*(3 - i) + 2. Which is the closest to -1\/3? (a) v (b) k (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**2 + 7565*z - 2923963. Calculate b(437).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - c - 43 = 0, j - 13 = -5*c - 0*c. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 39*j - 207. Determine x(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is four sevenths of a week in days?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + 5 + 11 + 16 + -22 + -4.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 611584 and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7216341552?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*x - 14 = 0, -6 - 6 = -4*w + 4*x. Suppose w*o - 4638 = 3167. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2388, 4772, 7156, 9540?\nAnswer: 11924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 11*r**2 - 10*r - 3. Let d be q(9). Suppose -3*i - 2*g + d = g, 136 = 5*i - 2*g. Does 26 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from znnnznzzzzz. Give prob of picking 3 n.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*p**2 + 1\/2*p**3 - 27*p + 72.\nAnswer: (p - 6)*(p - 3)*(p + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98783.24 micrometers to nanometers.\nAnswer: 98783240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1012841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t. Let v(n) be the first derivative of -7\/3*n**3 - 2 + 0*n**2 + 0*n. Calculate v(a(f)).\nAnswer: -28*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from jfwwqofii?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 9. Let a be z\/15 + (-8)\/(-15). Let 2\/3 - 1\/3*d**2 + a*d = 0. What is d?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 4*y. Let i = -64 - -61. Let c(h) = -7*h. Let d(q) = i*c(q) - 5*r(q). Let t(l) = -9*l. What is t(d(o))?\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 + -9 + (236 - 315)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + -3 + -1)\/(-1). Let n(s) = s + 3. Let j be n(0). Let i be j*(v\/(-3) - -3). Round i to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.06 from -445697.4.\nAnswer: -445697.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 122377028 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 226 (base 8) in base 13?\nAnswer: b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8565 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184311 + 844023 = 24*z. What are the prime factors of z?\nAnswer: 2, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.65 to one dp.\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c**2 - 11*c - 41. What is u(-6)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((-44)\/6 + 6)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 26*o**2 - 2*o + 1. Let x be p(1). Suppose 0 = -3*v - 6*v - 135. Let h = x + v. Is h a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/10 of a kilometer?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1320 + 1329 - 88274*s - 2649.\nAnswer: -88274*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - 1)*-13*-9. Let u be (3\/9)\/((-2)\/b). Suppose 3*h = -5 + 20, 2*m + 5*h = 77. What is the highest common divisor of m and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -845082 + 3.\nAnswer: -845079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 8*d + 12. Let k be s(-8). Which is greater: 14 or k?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 28459674?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 4 = 2*m, -12 = -2*m + 3*u - 2*u for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 22424 = -4*r, -27*r + 29*r + 4*z = 11224. What are the prime factors of r?\nAnswer: 2, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10*o**2 - 89443*o + 2613213?\nAnswer: -20*o - 89443","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-36)\/(-8) - 2\/(-4). Let l = -1 + 1. Let b = q - l. Round b to zero decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a decade in years?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 divided by 25899?\nAnswer: -11\/8633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008264102 to 5 dps.\nAnswer: 0.00826","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -298285*a**4*y - 17*a**3*y**3 + 2*a**3*y + a**2 + y**3 - 37333175 wrt a?\nAnswer: -7158840*a*y - 102*y**3 + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x**3 - 402*x**2 + 2495*x + 2278. Give w(-207).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 PM and 9:55 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 165?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3 - 531*n**2.\nAnswer: -3*n**2*(n + 177)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (10\/3 - 2\/6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 456.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-14)*((-14)\/(-11))\/(364\/1001)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20529 - -20533. Solve -3*o + 38 = -4*s + 43, m*o = -2*s + 30 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-144)\/(-27))\/(-16)*-1. What is y in 0*y + 0 + 1\/3*y**2 - 1\/3*y**4 - 1\/3*y**3 + r*y**5 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2181.4 and -1.6.\nAnswer: -3490.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18402 = 6*c - 134820. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -151.224662 to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 12*z**2 + 15*z - 14. What is the units digit of v(11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 62*a**2 + 17*a - 6. Let d(j) be the first derivative of j**2\/2 - j - 21. Let b(s) = -4*d(s) + g(s). What is the second derivative of b(m) wrt m?\nAnswer: 124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007164583 to six decimal places.\nAnswer: -0.000716","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 38812 and 124?\nAnswer: 38812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*w\/w**1)\/(w*w\/(w\/w**(-6))*w))**(-3\/32))**14)**(-1\/14) assuming w is positive.\nAnswer: w**(15\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*d - 12*d. Suppose -10*u + 4*u + 18 = d. Suppose -m + 3*m + 2 = -u*k, -k - 4*m = 14. Solve 18 = 2*w + 5*a, 4*w = -w - k*a + 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -476 + 2183. Suppose h + q - f = 0, 2*h + 180 - 1312 = -5*q. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 1.1, 231?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -40284*i + 8 - 2 + 40271*i in the form o + k*i and give k.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 2:49 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-62)\/14 - (-4 + (3 - 3)). Which is the smallest value? (a) 2 (b) y (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 z when three letters picked without replacement from hhqzhzqquzhqqzqqhzz?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.4, 0.3, 4, -0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1307\/41724 + -1\/684. Which is the fourth biggest value? (a) 3\/5 (b) w (c) -2\/11 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.317 times -0.5?\nAnswer: -0.1585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -1\/8 (c) 25 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(405)*-4 + ((-4 + sqrt(405)*4)**2 - sqrt(405)) + (-1 + sqrt(405)*1 - 5*(sqrt(405) - (sqrt(405) + 0))).\nAnswer: -324*sqrt(5) + 6491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -149.85304 to 1 decimal place.\nAnswer: -149.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -5*a + h, a + 4 = h - 1. Put 0, 15, a, -1, 6 in decreasing order.\nAnswer: 15, 6, 0, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 451106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/41)*p*(p\/((p\/(p\/(p\/(p\/p**(1\/5))*p)))\/p*p))\/p*(p**(-2\/5))**(-28) assuming p is positive.\nAnswer: p**(453\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 81, -1, -0.1, -3\/2, -167697 in decreasing order.\nAnswer: 81, 4, -0.1, -1, -3\/2, -167697","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -15*((1 - (-1430)\/(-3)) + 4). Suppose 5*p = 4*i + g, -4*p - 4*i + 5660 = i. Let y = p - 774. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 - 1) + (-371 - -374)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/126)\/(4*(0 - -8)\/(-48))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2128085?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3*-1.19\nAnswer: -3.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of j**3\/2 - 15*j + 2. Let r(s) = s + 4. Let d be r(-2). What is t(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 540280889?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eighteen fifths of a decade?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 q when three letters picked without replacement from {y: 2, r: 1, a: 1, q: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -33\/8, 0, -11\/5, 4 in decreasing order.\nAnswer: 4, 0, -11\/5, -33\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 6 + 3*a - 7*a - 11 - 7*a. Let q(v) = -66*v - 2. Let x(b) = 1242*b + 60. Let d(k) = -18*q(k) - x(k). Give -3*d(i) + 14*g(i).\nAnswer: 8*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -17607, -107 in descending order.\nAnswer: -11, -107, -17607","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -824*p + 838*p - 84 = 0 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 3*k - 1. Let u be w(3). Let d = 12 + u. Let i = d - -5. Does 16 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 497*k + 21181. Let p(l) = -49*l - 2118. Let c(s) = -62*p(s) - 6*y(s). Differentiate c(x) with respect to x.\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of w**5\/60 + w**4\/12 - w**3\/3 + 4*w**2. Let v be d(-3). Sort 0, v, 3 in decreasing order.\nAnswer: 3, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 g when four letters picked without replacement from xxgxgngxxn?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4840) + sqrt(4840) + sqrt(4840)*-2 + sqrt(3240)*-1)\/(sqrt(98) - (sqrt(98)*2 + sqrt(98)) - (sqrt(2) + sqrt(50)*2))*-3.\nAnswer: -54*sqrt(5)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(250)\/sqrt(5)*5)\/(sqrt(10) - (sqrt(70) + -1*sqrt(70))\/sqrt(7))*3)**2.\nAnswer: 1125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 6*b. Let p(j) = 355*j - 6. Give -9*k(l) + p(l).\nAnswer: 301*l - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5425*t = 5399*t + 572 for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-31)\/((-44330)\/(-20111)) - -14)*80\/140.\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 128 - 85. What are the prime factors of f?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-48)\/(-10) - (-2)\/10. Suppose 4*j - c*j + 10 = 0. Suppose 5*t + 0*t = j. Solve -t*y - 2*y = -12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-351)\/21 + 26\/7 + -4. Let m = 19 + z. What is the first derivative of 4279*f + 16*f**m + 20 - 4279*f wrt f?\nAnswer: 32*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 15109335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 171\/8 + -245\/8. Let r = s + 9. Which is the closest to 0.1? (a) -2\/19 (b) -4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 57\/11 - (-18)\/(-99). Suppose -2*d - 99 = -b*d. Does 11 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -8. Let v = 2 + -1.8. Which is the closest to s? (a) v (b) 5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.232673 litres to millilitres.\nAnswer: 232.673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -42325 + 4?\nAnswer: -42321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + 7. Let d(h) = -h**3 + 11*h**2 + 44*h + 61. What is the remainder when d(14) is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 860*p + 3444. Let n be k(-4). Let l(m) = -61*m**3 + 4. Let d(v) = -60*v**3 + 5. Determine n*d(c) - 5*l(c).\nAnswer: 65*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 1)*(-1 + 2 + 1)*((-j + 2*j + j)*(-1 + 1 - 1) - 14*j - 6*j - 3*j)*(2 - 4 + 3) to the form y*j + h and give y.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 744\/5022*3\/(-4).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1019, 1333, 2185, 3845, 6583, 10669, 16373, 23965?\nAnswer: 33715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -79*m**4 - 63*m**2 + 2*m. Let w(v) = -78*v**4 - 63*v**2 + 2*v. Let c(o) = 4*i(o) - 3*w(o). What is the third derivative of c(y) wrt y?\nAnswer: -1968*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 4 (b) -1\/24 (c) -7\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 42*w - 115. Does 4 divide k(38)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (128\/12 - 7)\/(5\/(-3)). Which is greater: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3614165 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-10) - (-1304)\/(-40). Let d = 65 - 97. Let p = d - z. Is p less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x - 3*x - 9 = -6*i, 17*x + i + 51 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -34 or -35?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.4, 9 in increasing order.\nAnswer: -3, 0.4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6564\/(-16)*((-5 - 0) + 1)?\nAnswer: 3, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 1.29 (b) 194 (c) -2\/13 (d) 2\/7 (e) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1058354214 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 251, 238, 189, 86, -89, -354, -727, -1226?\nAnswer: -1869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 442788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -98694.028 from 16639.\nAnswer: 115333.028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c*c\/c**(-1\/3)))**(-1\/6) assuming c is positive.\nAnswer: c**(7\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -72*u + 50*u + 25*u - 4*a, 7*u + 50 = 2*a for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of 11\/2*n**2 + 60*n - 1\/4*n**4 - 114 + 0*n**3. What is the derivative of y(d) wrt d?\nAnswer: -3*d**2 + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31.02 - 31.42. What is the smallest value in -3, -0.2, -1\/108, h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 71216 and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 170.8?\nAnswer: -512.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + (114\/27 - 8). Let v be (15\/(-20))\/(6\/4). Sort q, 2\/3, 1\/3, v in decreasing order.\nAnswer: 2\/3, 1\/3, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3305 + 3309. Let r(f) = -4*f + 13. Give r(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nndnndnd. What is prob of sequence dndn?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.1, -1\/7, 0.4, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggqq when four letters picked without replacement from {g: 3, s: 1, x: 3, q: 3}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -567*z - 6240. Let k be c(-11). Put k, -5, 100 in descending order.\nAnswer: 100, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/5)\/((-3)\/(-15)). Let i(f) = -f**2 + 0*f**2 - 5*f**y + 0*f**2. Let t(j) = 2*j**2 + 128 - 128. Give t(i(s)).\nAnswer: 72*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of l**6\/120 - 2*l**5\/15 + l**4\/6 - 5*l**3\/6 + 19*l**2. Let a = 8 - 0. Let m be d(a). Round m to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 13 + 4 = -2*a, 2*a = 4*v - 20. What is the hundreds digit of (-15)\/v + 290 + 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 8 = 3050*x - 3046*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1383, -1388, -1393, -1398?\nAnswer: -1403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*m + 59*m - 54 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**3\/2 + 357*i**2\/2 + 1113*i + 1500 = 0. What is i?\nAnswer: -4, -2, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*f + 92 = f, 5*f = -10. Suppose -13 = 3*r - 4*g - 81, 4*r - 78 = -g. Calculate the highest common divisor of r and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -181, 2\/5, 3, -271, -0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15\/(-2)*984\/(-30). Suppose 0 = k - 5, -k = 4*y + k - v. Let s = 149 - y. Calculate the greatest common divisor of 18 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -154 divided by -28\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-748)\/340*(-1 - 2514)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -556.03472 rounded to the nearest 10?\nAnswer: -560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2209901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 + 6 + 3 - 11 + 318*w to the form l*w + b and give l.\nAnswer: 318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7690100 rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70 and 220?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 2*v = -231, 0*j + 2*j - 4*v = -102. Let p = 259 + -140. Let w = p + j. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -69*q**2 - 151*q**2 + 32*q - q**4 - 188*q + 1050*q**3 - 1118*q**3 - 3*q**4 = 0.\nAnswer: -13, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.367 and -3.55?\nAnswer: 3.183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is d in d**3 - 12845334*d**2 + 25690665*d - 12845332 = 0?\nAnswer: 1, 12845332","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 29633029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/4*1 - (-325)\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**5 + 2*n**5 - n**5 + (-n**2 + n**2 + 2*n**3)*(2*n**2 + 0 + 0) + 938*n**5 - 90*n**5 + 402*n**5.\nAnswer: 1255*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-532)\/(-2560)*8 - 24\/15?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**(-2\/7)*g)**5*g**(-1\/45)*g**(1\/57)\/g assuming g is positive.\nAnswer: g**(75212\/5985)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/4345588 and -73\/668552.\nAnswer: 8691176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*c = 1067 - 2321 for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.739 and -1117.\nAnswer: -1942.463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -19*p + 68. Let q be o(3). Suppose q*j = 695 + 394. Suppose -59 = -5*t - u, -u - 7 = -0*t - t. What is the greatest common factor of t and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 5*m + 3*z, 34*z = 15*m - 10*m - 8*m + 179 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q - 9. Let d be s(5). Suppose d*y - 12 = 2*k + 3*y, 5 = -5*k - 5*y. Let f be ((-2)\/k)\/((-72)\/(-60)). Is f less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/5 + 308486*q**2 + 297314552144*q\/5 - 27663595435176\/5.\nAnswer: 2*(q - 93)*(q + 385654)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 104.53? (a) 2 (b) -0.4 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2463*n = 655*n + 27120 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 77, 19316, 0, -5.\nAnswer: -5, 0, 77, 19316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -11 - 2577209.109\nAnswer: -2577220.109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -547, -894, -1241, -1588, -1935?\n\"Answer: -347*p - 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = n + 6. Suppose 2*j + v = n, -4*v + 0 - 8 = 3*j. Let a = -1 + j. Solve 0 = b + 5 - a, -2*b = 2*y - 2 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 378958499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 13*u - 39. Give z(7).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4234*l + 55044. Determine n(-13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of -a**2 - 946. Let x(l) = 16*l. Determine x(h(w)).\nAnswer: -32*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3+-335905.5\nAnswer: -335902.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 403 - 402.809. What is c rounded to two decimal places?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109419 is divided by 7815?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1524*a = -45468 - 252 for a.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 28 = -0*f. Let o(i) = i**2 - 3*i - 3. Let g be o(f). Do g and -74 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/4)*i**(-2))\/(i**(4\/7)\/(i**(8\/5)\/i*i*i)) assuming i is positive.\nAnswer: i**(39\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12528 + 12587. Solve 94*q - 210 = p*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*n + 12*n + 14 + 6*n)*((-3 + 2 - 1)*(-2*n + n + 0*n) - 54 + 54 - 25*n).\nAnswer: 115*n**2 - 322*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4263354 and 1026?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 6*d**2 + 9*d + 3. Let h be r(7). Let i be 54\/(-405) - (-2)\/15. Suppose i = 16*z - h*z. Solve 2*w = z, -w + 8 = 3*l - 7 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 739631 is divided by 3244?\nAnswer: 3243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -996, -1012, -1038, -1080, -1144, -1236, -1362?\nAnswer: -1528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(-2\/7)*f*f*f)**(-5\/16)\/(f**(-4)*f*f**(-2)))**(4\/3))**(-39) assuming f is positive.\nAnswer: f**(-2795\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25\/18 - 8\/9. Let k = 13131 + -237353\/18. Let v = k + 111\/2. Which is the closest to -4\/7? (a) 1\/5 (b) g (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147*f - 37*f**3 + 147*f - 31*f**3 + 45*f**3 + 25*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) 1\/3 (c) -21 (d) -31 (e) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4949875 is divided by 308?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 726151553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -348651*y**2 + 313638*y wrt y.\nAnswer: -697302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14772924780 rounded to the nearest one million?\nAnswer: 14773000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/5)*h**(3\/8)*(h**(4\/5)\/h)\/((h\/(h*h\/h**(2\/19)))\/h*h))**(-6\/17))**(-44) assuming h is positive.\nAnswer: h**(36861\/1615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 4*p + 2*i - 10, 5 = -i for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4*q + 1976 = 0, 5*c + 4*q = 523 + 1950. Is 51 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/23 in 31\/17, -0.5, -1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 301 (base 4) in base 14?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*p - 5*t - 1, -2*t = -2*p + 18. Let y(s) = 4*s**2 - 4*s + 1. Let c be y(3). Let g = p + c. Solve -5*a = 4*r - g, -3*r - 17 = 5*a - 45 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -160, -291, -424, -559?\n\"Answer: -q**2 - 128*q - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 992?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 3:01 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15 + 270\/24)*16\/(-10). Is z > -3\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wq when two letters picked without replacement from {q: 8, w: 3}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39423 is divided by 1161.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z**3 - 12*z**3 + z**3 - z**3.\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1448?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*d - 6. Let k = 0 - -2. Suppose k*p + 61 = 3*g, -5*g - 32 = -2*p - 127. Solve -g = -d*b - 7 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 51*k**2. Let y(n) = 6*n. Give d(y(u)).\nAnswer: 1836*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, 48, 44, 42, 42?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 - 6 = 5*p - 2*t, -p + 2*t + 4 = 0. Calculate the remainder when 277\/9 - p\/(-45) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -1 (c) -21 (d) -0.2 (e) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -1\/9775952?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**4 + o**3 + o**2 - o. Let j(z) = -17*z**4 + 6*z**3 + 6*z**2 - 6*z + 26. Let g(r) = 6*f(r) - j(r). Differentiate g(p) wrt p.\nAnswer: 44*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13.3 + -13. Which is smaller: 2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.06 - -0.06. Let g = 157 - 159. Which is the second biggest value? (a) y (b) g (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 3:03 PM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -235. Let m = -34717 + 34771. Calculate the greatest common factor of m and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 114376346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - 17*m + 58. Determine u(-19).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g**2 - g**2 - 14*g**2 + (g - 4*g + 4*g)*(0*g - 3*g + g) to the form r*g + c + q*g**2 and give q.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*i + 407 = 599 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.082 - 12.918. Let x = 43 - 33. Let k be (x\/(-80))\/(2\/(-4)). Which is greater: m or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 122 - 124.8. Let s = i - -2.7. Is 0.23 >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 144 or 142?\nAnswer: 142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 126768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -155724 (base 9) to base 8.\nAnswer: -273530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -243, -245, -237, -213, -167?\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1220939695 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5 + i + 23*i**3 + 0 + 5 wrt i.\nAnswer: 138*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*5*(-4 + sqrt(2268) + sqrt(2268)*-1)*-6)**2.\nAnswer: 14400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 - 485*l - 536*l + 18 - 553*l + 1473*l)*(l - 2*l**4 - l).\nAnswer: 202*l**5 - 94*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + (-2)\/2 + 1. Let z = 3 - u. Suppose g - x + 7 = 64, 171 = z*g + 5*x. Calculate the remainder when g is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 - 12*f + 6. Let t(p) = p**2 - 5*p - 10. Let r(x) = x**3 - 25*x**2 + 6. Let i be r(25). Let u be t(i). What are the prime factors of c(u)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 501 or 200\/3?\nAnswer: 200\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -22581 at least as big as -22573?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 656870432?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8259942 centuries to millennia.\nAnswer: 0.08259942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**1*z)**(-41))**(-2\/71))**(1\/14) assuming z is positive.\nAnswer: z**(41\/497)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 10:43 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, -544, -1480, -2790, -4474?\nAnswer: -6532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1792\/85 + 106\/5. Which is bigger: 1\/4 or f?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 566\/5 + ((-224)\/40)\/(-7). Calculate the highest common divisor of l and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 6141*w = 6139*w - 2, -13 = 5*l + w for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of 1\/2*n**6 + 0*n**4 + 0*n + 4 + 0*n**2 + 0*n**5 + 1\/3*n**3. What is the third derivative of f(q) wrt q?\nAnswer: 180*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -79105617*w**3 - 3*w**2 - 97133429?\nAnswer: -474633702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47 - -51. Suppose i*l + 0 = 8. Solve -5*n = -2*q - 31, 2*q - 2 = l*n + 6*q for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 23 - 5. Suppose k*z = z. Suppose -50*s + 53*s - 34500000 = z. Round s to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + 1 + (-1 - 0). Let o(u) = 2*u**3 + 10*u**2 + 6*u - 3. Let s be o(-3). Solve -m*n - n = s for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 786450 and 187250?\nAnswer: 3932250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, -62, -235, -498, -851, -1294?\nAnswer: -1827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -15420460 less than -15420457?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - l - 7. Let c be k(-6). Let n be (-34)\/2*-2 + 1. Solve 0 = 4*t + 3*o + c, 3*t + n = -4*o - 0*o for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.2? (a) -1247 (b) -4\/7 (c) -0.5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16938049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 950169 and 759?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38 and 248140?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -6*m + 2*m + 33, 0 = -2*m + 2*q - 6. Let k be m\/(-1) - (-8)\/4. Is 2\/3 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 2163.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 94592 - 151092. Round w to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2280.306 decades to millennia.\nAnswer: 22.80306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6871, 13735, 20597, 27457?\n\"Answer: -l**2 + 6867*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15035557409 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -116 - 3. Let b = 118.951 + s. Let x = b - -1.389. Round x to one decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -10 (b) -1 (c) 4 (d) 5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7830?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -764.9653 - -989.95. Let l = h + -225. Round l to 3 dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8294851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 34867 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 981 is divided by 406?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -11*m**2 + 35*m**2 - 13*m**2. Let d(y) = 2*y. Determine d(j(h)).\nAnswer: 22*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 7*k**2 - 8*k - 8. Let x be q(-6). Suppose 2 = x*h - 18. Let p = 5 - 0. Solve -p*n - 15 = 0, h*a + 3*n + 8 = -1 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10763*k + 10751*k - 21835*k + 18297 for k.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of b**2 + 0*b**3 + 0*b - 1\/20*b**5 + 0 + 0*b**4. Let c(i) be the first derivative of -i**2 - 323. Give c(u(l)).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 279*u**2 - 31*u. Let l(t) = -35*t**2 + 4*t. Let a(i) = -31*l(i) - 4*s(i). Let k(w) be the first derivative of -w**2 + 221. Determine a(k(h)).\nAnswer: -124*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*j + 8 = 203. Sort -9, j, -5, -2 in ascending order.\nAnswer: -9, -5, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75353*c**3 + 91*c - 91*c + 5*c**2 + 75362*c**3.\nAnswer: 9*c**3 + 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 290745 - 432445. Round t to the nearest 1000.\nAnswer: -142000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b - 77 + 59 + 65. Determine k(18).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*d - 11*d - 1710. Is -4 + 1 + d - 1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/35*(-8)\/(288\/7)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -1274*r**2 + 1704*r**2 + 2158*r**2 + 1247*r**2. Let m(k) = 2*k**2. What is m(o(t))?\nAnswer: 29414450*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -15, -232, -645, -1248, -2035, -3000, -4137?\n\"Answer: a**3 - 104*a**2 + 88*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637)*-2*-2 - (1*sqrt(637) + 5)) + 2)**2.\nAnswer: -126*sqrt(13) + 5742","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7987, -31983, -72013, -128107, -200295?\n\"Answer: -5*l**3 - 7987*l**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 140 = -3*x, 0*x = -3*p + x - 196. Let s = -38 - p. Let o = 39 - s. Calculate the highest common factor of o and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r = -6 + 66. Let t(b) = b**3 - 35*b**2 - 36*b - 12. Let u(w) = 3*w**3 - 70*w**2 - 73*w - 26. Let i(q) = r*u(q) + 13*t(q). Factor i(g).\nAnswer: -5*g*(g + 1)*(g + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -11641, 4, 3 in decreasing order.\nAnswer: 4, 3, -3, -4, -11641","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 491 + -772. Round h to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 806, 807, 808, 809?\nAnswer: 810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 6153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millennium in centuries?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 802 and 326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -2\/39 (c) 1\/6 (d) -60\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5225512469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3382 and 7869469.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-384)\/(-220) + 90\/(-75)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**2 - 2*q - 1. Let l = 18 - 16. Give o(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 3*f**2 - f. Let l(o) = -o - 7. Let n(p) = p**3 + 3*p**2 + 4*p + 2. Let a be n(-3). Let y be l(a). Determine j(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -2*f - f - 6, -5*y = 0. Let a(k) = 1 - 1 - 1 + 3 - 8*k. Let z be a(f). What is the highest common factor of z and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 27\/2 of a millennium?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 169742?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48986591*z**5 + 208624227*z.\nAnswer: -979731820*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4509 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5 + 1.8. Let r = -235.32 - -234.019944. Let o = r + p. What is o rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -803, 3, -4, 3\/16, 5, -5?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 2*g - 1 = g + 1, 0 = 2293*g - 2298*g + 25 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 19691 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eghehghhhhgke. Give prob of picking 2 h.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 45397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from -163076.\nAnswer: -163079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j\/(j**3\/j*j))*j*j*j*j**(7\/2)*(j*j**(-2)\/j*j)\/(j**(-17)\/j) assuming j is positive.\nAnswer: j**(53\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 461*t + 1168. Calculate the least common multiple of u(-2) and 1025.\nAnswer: 6150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 737260050?\nAnswer: 2, 3, 5, 4915067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*z**3 + 21*z**3 + 13*z**3)*(1 + 1 - 3)*(-4*z + z + 4*z)*(-3*z + 5*z - 4*z).\nAnswer: 36*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*i**2 - 7*i**2 - 6*i**2 - 8*i wrt i?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 3, 21, -125, -4 in increasing order.\nAnswer: -125, -4, 1, 3, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2*t + 50 = 0, 34 = -g + 3*g + 2*t. What is the remainder when 59 is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 - 56. Let z = -545 - -796. Let r = z + d. What are the prime factors of r?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - 5464381958.\nAnswer: -5464381957.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1975 - -1976.6. Which is the fifth smallest value? (a) 1\/3 (b) -5\/2 (c) 4 (d) -0.1 (e) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 53?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5 + (sqrt(32)*-6 + 0)**2).\nAnswer: 1147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.16 - -5.76. Which is the fourth smallest value? (a) -199 (b) -2 (c) -0.1 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1133 (base 5) to base 11\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -3*s. Let b(a) = -11*a. Let k be b(6). Let y be k\/15 - (-2)\/5. What is the nearest to -0.1 in s, -0.3, y?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -400 - 14 = -9*a. What is the remainder when 39*134\/54 + 6\/27 is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*l + 53*l + 57*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -636*q + 79469. Let h(j) = -j**2. What is o(h(c))?\nAnswer: 636*c**2 + 79469","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 182 and 8964462.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of 146*y**7\/21 + 163*y**3\/6 + 234*y. What is the second derivative of c(u) wrt u?\nAnswer: 5840*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 2:20 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/1421 and 31\/30875.\nAnswer: 43873375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 5560.\nAnswer: -22240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-4))\/(9\/(-24)). What is the greatest common divisor of 1 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 - 173 = -7*h. Suppose 19*f = h*f - 272. Calculate the least common multiple of 488 and f.\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-38)\/16*(-6075)\/23085 + (-22)\/112\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153376*c - 153372*c + 306752*c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 2696?\nAnswer: 2696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 10 = 2*i. Solve 0 = 4*t + 4, 2*w - i = 4*w + 5*t for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54 and 90?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 740015.3 millimeters in micrometers?\nAnswer: 740015300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -76 + 535\/7. Let v = 3.3 - 3. Let p = 0.7 + v. Which is the closest to p? (a) 0.2 (b) o (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/(-16)*-4 - 2. Let v(k) = -k**2 + 8*k - 4. Let s be v(6). Suppose -4*p = 5*u, -u + s = 3*p - 3. Solve -b + 5 = -h, h = -p*b - c - 4 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - m = 0, 0 = -30*f + 26*f + 3*m + 16. Suppose -r - f = -5*q, -12 = -4*q - 4. Calculate the least common multiple of 18 and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*o**3 - 27*o**4 + 3*o**4 + 10 - 4*o**3 wrt o?\nAnswer: -96*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 4. Let g be u(2). Suppose 3*k - 122 = -g*s, 2*s = -3*k - 0*s + 130. What are the prime factors of k?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiiv when four letters picked without replacement from {a: 1, v: 1, i: 16}?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.51 - -0.61. Which is the biggest value? (a) -0.5 (b) 2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2299082606 to the power of 1\/2, to the nearest integer?\nAnswer: 47949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4405300 and 575?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -54, -134, -254, -414, -614, -854, -1134?\n\"Answer: -20*o**2 - 20*o - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1653 - -4700. What is the thousands digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9, 25, 61, 123, 217?\n\"Answer: g**3 + 4*g**2 - 3*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-2 - (1 + -5 - 5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -224?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -4*q - 182 + 252, q + l - 40 = 0. Let s = 376 + -256. What is the highest common divisor of q and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of m**6\/360 - m**5\/120 + 2*m**3\/3 + 3*m**2. Let f(z) be the first derivative of p(z). Find k such that f(k) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20127989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = 4*q - 2*q. Let f = q - -84. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n = 7 - 31 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 49688317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -17. Let a = 10 - i. Let g be a + -4 - 1*-12. Calculate the highest common divisor of g and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.63 or -89?\nAnswer: 0.63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4520 + 4520 + 317*x**5 + ((1 + 0 + 1)*(-2*x - x + 2*x) + x + x - x)*(0*x**4 - x**4 - x**4).\nAnswer: 319*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 956.7163 meters to micrometers.\nAnswer: 956716300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1156 - 1152. What is the fourth smallest value in -0.5, 0.03, f, 5\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5593*f**3 - 28*f**2 + 4521*f**3 - 38*f**2 + 68*f**2.\nAnswer: -1072*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*r - 31*r - 108*r - r**2.\nAnswer: -r**2 - 55*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 136 + -444?\nAnswer: -307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-500 + 766 - 474)*(-2*p + 2*p - p) - 5*p - 2*p + 4*p to the form k*p + n and give k.\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 6*k**2 - k - 3. Let a be s(5). Suppose 4*t = -3*d + 80, 4*d = -3*t + 36 + a. Solve 4*v + 8 = n, -n - 4*n - v - t = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3967.550937 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 98?\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 8 = 2*b, 3*r - 16 = -5*b. Suppose 0 = 3*d + 3*x - 396, 4*x = -d + 46 + 68. Calculate the highest common factor of d and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/14 - 29680004\/14. What is g rounded to the nearest one hundred thousand?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 705182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*f = -10. Let q be -10 - (-2 - 700\/90). What is the closest to q in -5, -0.3, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*h + 32. Let y(r) = r - 2. Let f(s) = 1. Let w(i) = -i + 7. Let q(o) = -11*f(o) + 2*w(o). What is h*y(p) + 5*q(p)?\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1100110000 (base 2) to base 5\nAnswer: 11231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 + 37799995. Let n be r(0). Let a be (-1)\/(-6) + n\/30. What is a rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -f + 111 - 109, -2*q + 12 = 2*f for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0.5 (b) 2\/21 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 891551757 to the power of 1\/3, to the nearest integer?\nAnswer: 962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 475397660 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -199 + 179 + (0 - -22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4*k**3 + 8*k**2 - 9*k - 3. Let h(m) = -m**3 - 1. Let w(i) = -5*h(i) - l(i). Let y be ((-2)\/3)\/(2\/(-21)). Is w(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(100)\/(2*sqrt(5)))\/(sqrt(512)\/sqrt(8)).\nAnswer: -1 + sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 96 = -3*t. Suppose -13 - t = -5*w. Suppose 0 = 4*q - q - 189. What is the greatest common divisor of w and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200195 >= 200196?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/7254846 and 101\/4.\nAnswer: 14509692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r - 2*r + 2*r)*(3 - 1 - 1) + (3*r + r - 6*r)*((-7 - 3 - 16)*(-2 - 1 + 2) - 3 - 1 + 2) in the form v*r + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6580.8 - 6571. Sort -1\/6, 3, b, -5 in ascending order.\nAnswer: -5, -1\/6, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 16*k**2 - 12*k + 53. Give t(-15).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 50\/18 + 50\/(-10) + 2. Let h be ((-4)\/(-6))\/(16\/(-72)). Let a = 0.51 + -0.11. What is the nearest to i in a, 2, h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14676*n + 12963*n - 1237*n to the form b*n + f and give b.\nAnswer: 26402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 times -32\nAnswer: 28.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 182 divided by 42320?\nAnswer: 91\/21160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 229 + -231.62. Let q = u + 2.6. Let l = q + 0.020013. What is l rounded to 6 decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2358 and 16?\nAnswer: 18864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 3*t + 220 = 0, -132 + 20 = -2*v - 2*t. Suppose -2*j + 174 = -v. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64903 and 552467.\nAnswer: 1583","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/105 and -149\/420.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1227, 1228, 1229?\n\"Answer: q + 1226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of j**8\/2016 - j**7\/420 + j**6\/360 + j**5\/180 - j**4\/48 + j**3\/36 - 55*j**2 - j. Factor d(k).\nAnswer: (k - 1)**4*(k + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-45)\/12060)\/((-6)\/50) and 37\/9?\nAnswer: 2412","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23961702?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-39) + (-48)\/(-26). List the prime factors of (2 - 804\/(-30))\/(z\/10).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147647916 is divided by 479?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -182 + 1272\/7. Let u = 0.6 + -3.5. Let x = u - -3. What is the smallest value in x, -0.1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 71 = 94. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6389 is divided by 2128?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of 5*z**3\/6 + 20*z**2 + 82*z + 2. What is k(-9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 6*y + 6. Suppose -3*v + y*c = -c - 24, 4*v + 3*c - 25 = 0. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 164752167 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + 63 + -150 - -91.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.145 - 106.145. Let f = l - -105.9. Which is the closest to f? (a) 3\/7 (b) 0 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c + 2*c + 0*c)*(102*c**2 - 19*c**2 + 124*c**2) - 3*c**3 + c**3 + 4*c**3 - 2 as m*c**2 + j*c + g*c**3 + t and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146866 + 2*n**2 - 15*n - 146866.\nAnswer: 2*n**2 - 15*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 3:34 AM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*n**3 + 63*n**3 - 33*n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 30293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 204 - 114. Is z a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5*s + 3 = -34, -2 = -4*k - 2*s. Suppose -j = -k*a - 2, -8*j + 4*j = a - 21. Calculate the remainder when 19 is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.5 - -1.75. Let g = 0.249941 - p. What is g rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -2*c + 8. Let h(x) = x**2 - 2*x + 3. Suppose d - 6*d = -105. What is the remainder when d is divided by h(c)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of s**5\/60 - 4*s**4\/3 - s**3\/3 - 72*s**2 + s. Is m(-4) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of 11*v**3\/6 + v**2 - v. Let l(x) = 4 - 2 + 2 + 5*x - 3. Determine 4*a(y) - 9*l(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/3737 and -10\/7996403?\nAnswer: 807636703","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/8 + 321\/(-7704))\/(4 - (-126)\/(-28))\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 >= 0.100796?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -184, -365, -544, -721, -896, -1069, -1240?\n\"Answer: p**2 - 184*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2128 + 3407. What are the prime factors of q?\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 173 divide 181996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.23 - -21.23. Let v = -18.92 - 0.08. Let g = p + v. Which is the closest to 1? (a) -3 (b) g (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2549982 is divided by 2901?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.85 - 10.85. Which is the fourth smallest value? (a) o (b) -0.3 (c) -26 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 772*l**2 + 1033*l + 262. Calculate r(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aww when three letters picked without replacement from uqbwakw.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3973.285 years to decades.\nAnswer: 397.3285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 1247 = -148. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8240 - -1805?\nAnswer: -6334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -61 + 67. Let q(j) = 87*j**2 + 14*j - 13. Is q(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 + 39 - 52\/3)\/(-4 + 279\/27).\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -845 by 33.\nAnswer: -845\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.518468 rounded to 3 decimal places?\nAnswer: -16.518","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.09 - -3.39. Let y = -160\/249 + -2\/83. Which is the second biggest value? (a) 2\/5 (b) y (c) l (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -562*y**2 + 29*y - 31. Calculate z(1).\nAnswer: -564","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - ((3 - -13) + -28)) + -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37 - -61. Let o be 288\/84*42\/4. What is the highest common factor of a and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 18*i + 10. Let v(n) = 6*n + 3. Let g be (-4)\/(-22) + (-10)\/(-20)*(-742)\/(-77). Calculate g*t(f) - 16*v(f).\nAnswer: -6*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 955 is divided by 938.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -151, 4, 1, 5.\nAnswer: -151, 0, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -86.27 - -90.27. Put 0, -0.77, a in descending order.\nAnswer: a, 0, -0.77","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2391 less than -60738.73?\nAnswer: -63129.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**2 + 64*r - 14. Let t be g(-32). Calculate the smallest common multiple of 78 and (38 + -24)*(-8)\/t.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {i: 1, d: 4, v: 1, z: 1, m: 3, f: 4}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - -1. Let i(u) = -4 - u - d + 5. Let s = 8 + -13. Calculate i(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (12 - -4)) + 7.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 + 13. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -0*o - 4*f + 100704, 125920 = 5*o - 5*f. Suppose o = -7*p + 27*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) -0.5 (b) 0.7 (c) -18202\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 32*m - 129. Let i(r) = -3*r**2 + 50*r - 20. Let d be i(17). What are the prime factors of h(d)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.96438 millennia in months?\nAnswer: 71572.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 356384596 divided by -29\nAnswer: -12289124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -8295*r - 352. Let m(g) = -4147*g - 192. Determine -11*m(b) + 6*u(b).\nAnswer: -4153*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 10*f + 1. Let h be y(11). Solve -2*j = 0, 2*w + h = 5*w - 3*j for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20302 is divided by 6739.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 15*c = -10*c + 51, 5*k + 5*c - 255 = 0. Calculate the smallest common multiple of k and 17.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 64.1 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 109 by -1068.\nAnswer: -109\/1068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -66 (b) 0 (c) -0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -115\/301728 or 3?\nAnswer: -115\/301728","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1593, 0.3, -3, 3.008 in descending order.\nAnswer: 3.008, 0.3, -3, -1593","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20707\/46656 + -16\/729. Let d = 3665\/192 - w. Find the common denominator of d and 16\/11 + 0\/(-1).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 529?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 7*q**2 - 5*q - 5. Let s(z) = -8*z. Let i be s(-1). Let f(l) = -7*l + 2*l**2 + 8*l**2 - i + 1. What is -5*f(u) + 7*j(u)?\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -3*w + 375 - 120, -317 = 5*d - 2*w. Is (-3570)\/d*(-3)\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10128.3ml to litres.\nAnswer: 10.1283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84 and 867804.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21 + 618*k**2 + 11 + 8 - k + 967*k**2 to the form f*k + u + r*k**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 4*y**3 + 107*y**2 - 33*y - 104. Let x be j(-27). Calculate the greatest common divisor of 5771 and x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -260*a - 13. Is c(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 - 15. Let k = a - 10.1. Sort 4, -0.5, k.\nAnswer: -0.5, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-941 + 104 - 463 - 275)*(-2*f + 4*f + 0*f) as n*f + j and give n.\nAnswer: -3150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0099786 rounded to 4 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10320 + 22?\nAnswer: 11002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + -2 - 1*-4. Suppose -3*r = -0 + g. Let l(c) = 11*c - 1894. Let f(u) = u - 379. Let j(x) = 5*f(x) - l(x). What is j(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 828385?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {c: 1, i: 2, m: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 792113.4 to the nearest one thousand.\nAnswer: 792000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*k + x + 63, -k + 25 = -x. Let s = -9 + k. Is s a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5\/(-90))\/((15\/9)\/(-5)). Let d be 2\/(-3) - 5\/(-3). Let o be 0 - 0\/2 - d. Which is the second smallest value? (a) 1 (b) r (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**3 - c**3 + 3*c**3 + (0 - 1 + 3)*(c + c + 0*c)*(14*c + 2*c**2 - 14*c).\nAnswer: 13*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2013, 1938, 1849, 1740, 1605, 1438, 1233, 984?\nAnswer: 685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kikk when four letters picked without replacement from iifkccccikckck.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 1573356?\nAnswer: 1573356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 234578 (base 10) to base 14\nAnswer: 616b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-84)\/10*(8 + -103). Suppose -k + 2*k = c. Suppose 161 = a - k. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 + 0.5. Let w = 0.03 + 4.97. Which is the smallest value? (a) d (b) w (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1241945 to the nearest integer?\nAnswer: 1114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -2*b + 10. Suppose -6 = -2*s, b*s - 174 = -4*z + 529. What are the prime factors of z?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*o - 70 + 70)*(4 + 4*o - 4) as d*o**2 + x + c*o and give d.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6385 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 305*h - 160*h - 4 + 43*h**3 - 6*h**3 - 145*h.\nAnswer: 37*h**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001110110111100 + 1000001110?\nAnswer: 10001111111001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 865987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t - 3*x + 3, -3*t + 227 = 4*x + 223 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*g*q - 113908383*g + 3795949*q**4 wrt q.\nAnswer: -9*g + 15183796*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qvvvvlrvru. What is prob of picking 1 u and 3 v?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -102.949 rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 341 (base 11) to base 3\nAnswer: 120010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-18))\/((-4)\/6). Suppose 3*r = l + 3, -4*l + 4*r = -27 + 31. Which is the closest to l? (a) -1\/3 (b) s (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + (-6)\/(-4))\/(40\/(-480)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**1*y*y**(-2)*y*(y*y**(-1\/3)\/y)**(-18))\/((y\/(y\/(y\/(y**(1\/2)*y))))**(-49))**10 assuming y is positive.\nAnswer: y**(-239)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 8:06 PM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 3:05 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - 16*w**2 - 2*w + 1. What is the least common multiple of 130 and i(0)?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1212 and 3030.\nAnswer: 6060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -2\/7 (b) 4 (c) 0 (d) 126\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a millimeter in micrometers?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 32326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 126678 a multiple of 228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 62250, 62178, 62060, 61896, 61686, 61430?\n\"Answer: -23*v**2 - 3*v + 62276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - 26. Put 2, 0, l in ascending order.\nAnswer: l, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*m - 105*m + 20 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - x. Let m(p) = 19*p**2 - 5*p + 10. Let j(a) = -m(a) + 5*y(a). Let l be 12*(-6)\/144*2. Let n(h) = h**2 + 1. Give l*j(i) - 10*n(i).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p**2 + 3. Let j(f) = 4*f**2 - 7*f**2 + 7613 - 7611 + 6*f**2. Determine -4*j(i) + 3*o(i).\nAnswer: -3*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - j + 5*j = 14, -4 = -4*m + j. Let b(o) = o**2 - 6*o + 1. Let c be b(6). Calculate the remainder when m is divided by (-1)\/(-1)*c\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 3*w**2 + 327867*w - 327870 = 0.\nAnswer: -109290, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -15, a + 4*s = 41 - 3. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -315.676 and -1.\nAnswer: 315.676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -4*a + 5*f - 3, -4*a - 2*f - 8 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 6:16 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 402937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -212 (b) -94 (c) -5\/144\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110001211002022 (base 3) to base 12.\nAnswer: -219332b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 69*j**3. Suppose 5*g - 20 = -0. Suppose -l - g*l = -5. What is the units digit of x(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -723*m + 2466*m = -74949 for m.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*k = -6*k + 75. Suppose 3*d = 3*y - 7 - 17, k*d = -y + 24. Calculate the least common multiple of 14 and y.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 140*v**2 - 5 + 3 + v**3 - 141*v**2 to the form a + y*v**3 + n*v + r*v**2 and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*v + 4 + 5*v - 20.\nAnswer: -18*v - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f + 3*f - 2*f)*(0*f**2 + 4*f**2 + 2*f**2) + 2*f**3 - 2*f**3 + f**3 + 0*f**3 - 2*f + 0*f + 3*f**3 to the form l*f**2 + u + k*f**3 + s*f and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-4)*i\/(i*i\/i**(-7)))\/(i**(-2\/7)*i\/(i*i*i\/i**(3\/7)*i*i*i)))**(-6\/17) assuming i is positive.\nAnswer: i**(300\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*l**4 - 13*l**3 - 10489*l**2 - 5062139 wrt l.\nAnswer: 8*l**3 - 39*l**2 - 20978*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 17014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 36, 51, 72, 99, 132?\nAnswer: 171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*w - 403 = 22*w - 1285 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -4 (b) 6 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-4\/13)\/(v**(-10\/7)\/v*v)*(v**(1\/6)\/v)**(1\/6) assuming v is positive.\nAnswer: v**(3217\/3276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23 + 525\/(-14))*2.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -58 - -50. Let u = 7 - 13. Let g = u - n. Which is the nearest to 0.1? (a) 3\/4 (b) 0.2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4174676, 4174669, 4174662?\nAnswer: 4174655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01614 * -335.\nAnswer: 5.4069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from hhmhm?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -330284, -330500, -330716?\n\"Answer: -216*d - 330068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 + 142. Let k = 236 - p. What is the greatest common divisor of k and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 94993 times 0.3\nAnswer: 28497.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*a**2 - 1761*a + 5*a**5 + 57*a**4 + 1696*a - 7*a**4 - 180*a**3 = 0 for a.\nAnswer: -13, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60455139 to the nearest integer?\nAnswer: 7775","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/3)*a)**38*(a*a\/a**(1\/2)*a*a)\/((a**(-3\/2)\/a)\/a) assuming a is positive.\nAnswer: a**(59\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2303*o**2 - 2442*o + 1944 - 258*o + 1985*o**2 - 9*o**3 = 0. What is o?\nAnswer: -18, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, s: 2, u: 5, n: 1, w: 3, r: 1}. What is prob of sequence wprw?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -0*l - 8. Suppose n = l*u - 10 + 2, -u = -n - 4. Suppose 2*q + u = 3*q, 72 = 5*b + 3*q. Solve 0*p + 3*p - 2*w = 1, 2*p + 5*w = -b for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.7 and 28249.\nAnswer: 28248.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 10010110101110 (base 2) to base 4\nAnswer: 2112232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -4*z - l - 4, 0 = z + l - 6. Suppose -y = -0*y - z. Factor -d**2 - 5*d**y + 9*d**2 - 7*d**2 + 16.\nAnswer: -4*(d - 2)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -4*r + 19 + 25, v = 4*r - 28. Suppose i - 4*b = -3 + 31, 5*i - 5*b - 65 = 0. Calculate the smallest common multiple of r and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-42)*-6)\/((-18)\/(-6))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzwwwwwwww. What is prob of sequence zww?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of 3*i + 0 - 1\/2*i**2 + 1\/6*i**3. Let u be w(0). Is 1 <= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1291500 is divided by 258294.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42\/5, -0.2, -0.4 in descending order.\nAnswer: 42\/5, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - 10*u - 11. Suppose 0 = 23*q - 24*q - 9. Determine n(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 997 + -422. Let f = -50 + m. Does 15 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -c + 4 + 10, -c - h = -6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 103 - 341?\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -74 less than or equal to -1421081?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*1*-5*6*sqrt(51)\/(-2*sqrt(48)).\nAnswer: 75*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1594 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 - -487. What are the prime factors of j?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1520*c = -41935 + 31295 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -345102090 to the nearest 100000.\nAnswer: -345100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (1 + -2) - -3 - -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 5*h + 44. Suppose 0 = b + h - 36. Suppose -3*n - b = -2*i, 0 = -9*i + 4*i + n + 58. What is the highest common factor of i and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-24\/7)\/n)\/(n*n\/((n*n\/(n\/n**(7\/2)*n))\/n)*n) assuming n is positive.\nAnswer: n**(-69\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14865 - 112.\nAnswer: -14977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 11. Suppose 4*r - 2 - 145 = -5*k, -3*k = d*r - 111. What is the remainder when r is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 90714 - -78?\nAnswer: 90792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 12:34 PM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64660495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14725\/1784 + -5628577\/326472. Let o = t - 1\/183. Find the common denominator of -3\/8 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -134967, -1, 10 in descending order.\nAnswer: 10, 5, -1, -4, -134967","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/(-35))\/(14\/(-5))*-7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -4*h**2 + 7*h + 4. Let j(x) = -2*x**2 + 3*x + 2. Let s = 11 + -20. Let m = s + 12. Let y(p) = m*i(p) - 7*j(p). Factor y(l).\nAnswer: 2*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 612?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (9 - 13) + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 2*c - 1 = -11, -10 = -3*f + 2*c for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3006, 2999, 2988, 2973, 2954, 2931, 2904?\nAnswer: 2873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.14 (b) 0 (c) 2\/5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b - 25*b**3 + 7 - 2*b + 3*b**2 + 12*b**3. Let a be p(3). Let s be a\/(-5) + 16\/80. Calculate the greatest common factor of 42 and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, y: 1, n: 9, e: 6}. Give prob of picking 1 s and 2 e.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -5\/4*g**2 - 165\/4*g - 145 = 0.\nAnswer: -29, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10144?\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06853*-0.004.\nAnswer: -0.00027412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*l + 2 + l + 0*l)*(5 + 3*l**3 - 2 - l**3) in the form g*l + f*l**4 + k*l**2 + q*l**3 + b and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -66 + -15b1424?\nAnswer: -15b148a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 + 0)*(84 + 100 + 211)*(-x**4 + 0*x**4 + 4*x**4) in the form k*x + n*x**3 + w*x**2 + h*x**4 + z and give h.\nAnswer: -1185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + 6\/(3\/(-1)). Suppose 0*d = -d + x. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 77*v + 0.\nAnswer: 77*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 270969259 to the power of 1\/4, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.66 take away 438295?\nAnswer: -438320.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7205069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -6*g**5 - 15*g**4 + g**3 + 20*g**2 - g + 1. Let k(s) = -s**5 + s**3 - s + 1. Let v(z) = k(z) - l(z). Determine b so that v(b) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -17 + (1 - -3) + (25 - 27).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -446 - -441. What is the biggest value in h, -2, 0.25?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 2*f = 1, -4*f = 4*m + 33 - 1 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -27855266400 to the nearest one million.\nAnswer: -27855000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**5 + 106*q**4 + 680*q**3 + 1696*q**2 + 1856*q + 736.\nAnswer: 2*(q + 1)*(q + 2)**3*(q + 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25*w**3 + 147*w - 147*w + (-2*w**2 + 0*w**2 + 4*w**2)*(w + 0 + 0) + 1 - 1 + 3*w**3 + (0*w**2 + 6*w**2 - 4*w**2)*(-2*w - 2*w + 3*w).\nAnswer: 28*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 816762.7 centimeters to kilometers.\nAnswer: 8.167627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, w: 2, x: 3, t: 2, b: 4, d: 3}. What is prob of sequence wx?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 29*h**2 + 2*h + 978. Calculate i(-30).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 344635.\nAnswer: 5, 68927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 6*y**2 + 4*y - 2. Determine c(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*q**2 + 938 - 2334 + 35*q**2 + 44*q**2 - 1592.\nAnswer: q**2 - 2988","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + 15*n - 51. Let u be h(-18). Let b(o) = -2*o**3 - 3*o**2 - 5*o. Let r(m) = -4*m**3 - 5*m**2 - 9*m. What is u*r(l) - 5*b(l)?\nAnswer: -2*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120118 (base 9) to base 3.\nAnswer: 10200010122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1543 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16063953.\nAnswer: 3, 5354651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -432, -429, -424, -417, -408, -397, -384?\nAnswer: -369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*a + 5*a - 4 - 4)*(-3*a**3 + 5*a**3 - 3*a**3).\nAnswer: 3*a**4 + 8*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -148\/3 - -50. What is the closest to 1\/2 in -1, 15, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138829538 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262 is divided by 66.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6263313.85099942 - -6263257.851. Let m = 66.3 - 10.3. Let t = s + m. Round t to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i + 2*i**2 + 2*i)*(12*i**2 + i**2 + 2*i**2) + (-3*i**3 + 3*i**3 - i**3)*(-4*i + 2*i + i) in the form q*i**4 + a*i + v*i**3 + p*i**2 + l and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 9:00 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -5, 0, -16, -50 in descending order.\nAnswer: 20, 0, -5, -16, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 151201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110560337?\nAnswer: 1709, 64693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 46031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*o + o + o)*(-2*o + o + 4*o) + 1750 - 2*o**2 + 1703 - 2*o + 3113 in the form r*o + u + z*o**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 541992475?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 207469134?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 3*a + t, 0 = -5*a - 32*t + 29*t for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 10:05 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h + 1. Let y be n(-4). Solve -8 = -o + y*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g*v**2 - 28646*g*v + 137720*v**2 - 26*v wrt v.\nAnswer: 2*g + 275440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -99*(-4 + 0) - (3 + 1). Suppose 3*k = -k - 16. List the prime factors of (6\/k)\/((-42)\/l).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/154)\/(48*26\/(-4368))?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in 0.4, -38\/97, 0.7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1710288706 a multiple of 4046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fxxfxfxxxx. Give prob of picking 3 x and 1 f.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 64\/20 - 1\/5. Suppose -7 = l + k*a - 1, -6 = 2*a. List the prime factors of (-4 + (-11)\/l)*-3.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*l*t**2 - 5*l*t + 6*t**2 - 2*t + 4 wrt t.\nAnswer: -38*l + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 12*n**2 + 236*n - 21. Calculate g(0).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.3 - 5. Let q = 3.1 - 3. Which is the smallest value? (a) -3 (b) d (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 392 - -1815?\nAnswer: 1ba7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -1, 45\/14 in ascending order.\nAnswer: -1, 0.5, 45\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of y**6\/6 - 9*y**5\/2 - 65*y**4\/4 - 50*y**3\/3 + 6*y + 3. Factor a(n).\nAnswer: 5*n*(n - 20)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 181940679 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 + 12 - 7 + 2)*(-1 - 1 + 1) + (-3*g + 2*g - g)*(3*g - g - 4*g).\nAnswer: 2*g**2 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 - 38\/((-1862)\/1519).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/49 and -29\/63?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 + 1610552?\nAnswer: 1610562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 0, 8, 11 in ascending order.\nAnswer: 0, 4, 5, 8, 11","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: Calculate the highest common factor of 297 and 45711.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15023720 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 912909\/7 bigger than 130415?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 276\/18*(-1029)\/392 + 5\/4?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5300 - -a?\nAnswer: -52e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -1340*q**2. Let v(n) = 18*n**2. Calculate k(v(l)).\nAnswer: -434160*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -821 - -4?\nAnswer: -816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.9088 rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2662) + (3*1*sqrt(2662) - sqrt(2662) - sqrt(2662)) - sqrt(2662))*-4)\/(sqrt(55)\/(sqrt(10)\/sqrt(2)) + sqrt(1584) + sqrt(1584)*-1).\nAnswer: -44*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 2 + 10 = 0. Let m be (5\/(-1))\/(-1 - -2). Let u(q) = -2*q**2 - 3 - q + 0*q**2 + q**2. Let g(p) = 2*p**2 + 2*p + 7. What is m*u(i) + v*g(i)?\nAnswer: i**2 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2688) - (sqrt(2688)*2 + sqrt(2688)))\/(-1*sqrt(96)) + (sqrt(21)\/(-4*sqrt(3)) - 1*sqrt(7)*4)**2.\nAnswer: 4*sqrt(7) + 2023\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 4. Factor -8*d**w - 16*d**3 + 13 + 41 + 6*d**4 - 15*d**2 - 21*d**2.\nAnswer: -2*(d - 1)*(d + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -8*v**3 - 7*v**2 + 50*v + 14. Let x(m) = -4*m**3 - 3*m**2 + 25*m + 6. Give -3*f(t) + 7*x(t).\nAnswer: -4*t**3 + 25*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101331232 + 1133?\nAnswer: 101333031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18165 + -19179. Which is smaller: -1015 or u?\nAnswer: -1015","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4331 and 244.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 8:04 AM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 42680 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 12576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-8) - 3)\/((-6644)\/(-2416))\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/7, -0.1, -11, -2\/7, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2*z = -3*z + 55, -5*z = 5*q - 115. What is the smallest common multiple of 25 and q?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60488267?\nAnswer: 7, 19, 454799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*h - 10*h - 10. Solve -h = -y - 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124817507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - -9. What is the lowest common multiple of 4 and k\/(-2 - 795\/(-402))?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -7*n + 5*n. Let o(i) = -6*i**3 + 2*i**2 + 2*i + 2. Let w(d) = 7*d**3 - 3*d**2 - 3*d - 3. Give n*w(h) + 3*o(h).\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 943037?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3631.65 - -15\nAnswer: 3646.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -248 - -1981\/8. Which is the nearest to -69? (a) k (b) -1 (c) -3 (d) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 11\/4 of a millisecond?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i - i - i)*(-10*i + 3*i - 15*i) in the form j*i + y*i**2 + z and give y.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220492 = 2795*y - 98138 for y.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -44*d**3*q**2 + 2*d**3*q + 2307*d**3 + 8956*d**2*q - 3*d*q**2 + 4*q wrt d?\nAnswer: -264*q**2 + 12*q + 13842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 4664 = 8*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - 0)*-1 - 5. Let r be ((-2)\/6)\/(u\/(-18)). Let t(i) = -i. Let g be t(r). Which is the second biggest value? (a) 5 (b) g (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 30 = 3. Suppose j*x = 319 + 32. Is x a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence df when two letters picked without replacement from mffmdnkdfmkddnfnnkdd?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 3:47 AM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2491 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, p: 1, u: 2}. What is prob of sequence vp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 62036 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 237 (base 10) to base 12\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 1. Let r(l) = -2*l**3 - 5*l**2 - 3*l. Let u be r(-3). Suppose u + 2 = 2*f. Calculate the lowest common multiple of f and x.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, w: 8}. What is prob of sequence wuw?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -n**3 + 206846439*n**2 + 566735113 wrt n.\nAnswer: -3*n**2 + 413692878*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/(sqrt(6)\/sqrt(2)) - (sqrt(112) + -2)) + (-1*sqrt(28) - (sqrt(14)\/sqrt(2) + -1)).\nAnswer: -6*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 8*r + 4*r = 26, 5*d - 3*r = 30. Let h = d - 0. Suppose -5*s = 20, 7 + 26 = v - h*s. What is the remainder when v is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 2295\/(-81))\/(19\/(-57))?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.11 - 1.09. Let p = z - -1.2. Let g = 15547.2 + -15547. Put g, p, 5 in decreasing order.\nAnswer: 5, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 67936606 and 0.2.\nAnswer: 13587321.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -79787 + 3829643\/48. Find the common denominator of f and -59\/1924.\nAnswer: 23088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = m + 194, 0*c - 390 = -4*c + m. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -6 + 0*y**2 - 5*y + 7\/4*y**4 + 0*y**3. Find the first derivative of i(b) wrt b.\nAnswer: 21*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -x - 12. Let f = 20 + x. Suppose -q - 2*c - 4 = -12, 0 = 3*q - 3*c + 3. Solve f + q = -4*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283.969 plus -0.27228?\nAnswer: 283.69672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23293*z + 1272*z**2 + 3*z**2 + 23293*z.\nAnswer: 1275*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2*w - 1 = 0. Suppose 0 = -5*j + w + 9, a = -5*j + 47. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-25)\/(-50) - (2 + (-26)\/4). Let w = 8 - 6. Suppose s + w*h = 2*s + 4, -5*s = -x*h. Solve -s - 6 = -2*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3*j = -12, 6 + 10 = 3*s + 4*j. Solve 3*t + 6 = -3*w + 3, -5*t + 3*w - 21 = s for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1963 is divided by 18.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4*z = -89000. Round z to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011001 - -100?\nAnswer: -1010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 - -57663848?\nAnswer: 57663842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17.388 + 17.9. Let q = o - 0.012. What is the fourth biggest value in 2, -1\/10, q, 4?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (113*(-720)\/(-6447780))\/((-6)\/(-3))?\nAnswer: 2\/317","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 252*t + 1304 = -74*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -78 + 55?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -118\nAnswer: -5\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -151, -2643, -7479, -14653, -24159, -35991?\n\"Answer: o**3 - 1178*o**2 + 1035*o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - g = -8. Let d(u) = 2*u - 12. Let w(p) = -1. Let q(j) = d(j) - 6*w(j). What is the smallest common multiple of 8 and q(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 9 - (11 + -8 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2820 = 5*o - 5*c, 324 = -o + 2*c + 889. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3384654?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*5\/15)\/((-1)\/3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.69*2.\nAnswer: -1.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -19*r - 21 + 34 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (71300\/(-138))\/50*(-12)\/4?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -501 greater than -497?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3884*j + 9 with respect to j.\nAnswer: 3884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -23, -127, -313, -581?\n\"Answer: -41*l**2 + 19*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -l**3\/3 + 5*l**2\/2 + 2*l - 3. Let y be v(5). Solve 4*s = y*x - 4*x - 6, 2*s = 4*x - 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 2:50 AM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p - 2*p**3 - 2*p + (2*p - 2*p + p)*(0*p**2 + 0*p**2 - p**2) + (16*p - 11*p**2 - 16*p)*(-2 + p + 2).\nAnswer: -14*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7926807\/46 or -172322?\nAnswer: -7926807\/46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10022213313 (base 4) in base 8?\nAnswer: 4124767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 425 divided by -85?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + f - 1. Let y(a) = a**2 + a + 1. Let v(j) = 6*j**2 + 5*j - 13. Let q(b) = v(b) + 4*y(b). Give -2*q(n) + 18*x(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11597670*v**3 - 3*v**2 - 923256*v + 1 wrt v.\nAnswer: 69586020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d - 2*d + 4*d + (-1 - 2 + 5)*(-2*d + 1 - 1) - 5 + 2*d + 5 + (-5 + 2 - 2)*(3 + 3 - 4)*(-792 + 792 + 16*d) - 3 + 3 - d.\nAnswer: -162*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**2 - 8*t - 7. Suppose 4*n + 33 = 5*r, -5*r + 5*n - 3*n + 29 = 0. Let h be k(r). Solve z - 7 = -h for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from voicvviivci. Give prob of sequence ci.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 3*b**2 + 4*b + 3. Let y be l(-3). Let m = y - -8. Let o be (-2 + (2 - 3))*m\/4. What is the biggest value in 4\/7, -2\/3, o, 2\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1279915501 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: Which is the closest to -2\/7? (a) -827 (b) -1 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16)\/28*63\/66. Let g(q) = q**3 + 4*q**2 - 4*q + 3. Let l be g(-5). Let f be 0\/(2*1\/l). Which is greater: f or v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 30\/(-4)*(-18)\/(-27). What is the closest to -1 in 1, 5, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p = -11*p. Find the first derivative of -5 - 6*x**3 + p*x**3 + 5*x**3 wrt x.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98322 divided by -6?\nAnswer: -16387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20 or 13441?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 643266.67 rounded to the nearest 10000?\nAnswer: 640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-615)\/(-6) - 2)*(-68)\/(-102). Solve -9*l - b = 5 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/24*(-60)\/15?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5715 divided by -2?\nAnswer: -5715\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 8:11 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 442 - 437. Solve 2*b - 4*v - 3 = 1, 2*b + 5*v = -n for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 9) in base 12?\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 12 = 17. Let n(s) = s + 6. Let w = 7 + -11. Let u be n(w). Solve -2*r = -3*r - z*c - 9, 2*r = u*c + 6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 69488 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -548 - -1119\/2. Let k be (-853)\/(-70) + 10\/(-35). Let h = k - p. Put 2, 1, h in decreasing order.\nAnswer: 2, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 3*g**2 + 1. Let a(q) = q**3 - 9*q**2 + 8*q + 11. Let w be a(8). Suppose -4*r = -w - 1. What is the units digit of f(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 2:15 PM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 867 and 7701.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n + 111 = 27 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of n**4\/12 + 8*n**3\/3 - 6*n**2 + 29*n. Give a(11).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99)*4)\/sqrt(9) + -5*sqrt(704))**2 + 4.\nAnswer: 14260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 82 (b) -10 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 3*q**2 + 3*q + 3. Let h be f(4). Suppose -3*p + 17 = -4*s + 41, -5*p = -5*s + 35. Which is the nearest to 0? (a) h (b) 3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41 + 40.9. Let x be (-2)\/(-1) + 1 + (-3 - -5). Which is the second smallest value? (a) -2\/11 (b) n (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 26. Is 11 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41239, 41130, 41023, 40918, 40815, 40714, 40615?\nAnswer: 40518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34437, 69540, 105973, 144402, 185493, 229912?\nAnswer: 278325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 7:16 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/2)\/((-2)\/38). Let f = -9 + i. What is the remainder when 35 - -3 - 0\/(6 - 2) is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 22579*w = -22582*w + 30, -w = -4*g + 30 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c - 7*j - 549, c + 614*j + 609*j - 1327 = 1240*j for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 273629261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 1209843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43070181 to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4128 + 9409 - 5280 - 47*a.\nAnswer: -47*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -16, 3, -7 in decreasing order.\nAnswer: 3, 1, -4, -7, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*w**3 - 3*w**3 - 21*w**3.\nAnswer: -31*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 161*s = 106*s + 486, 0 = -9*a - 3*s + 54 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73832?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5278962 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 20, -16*n = -11*n + f - 94. Which is smaller: 237\/13 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19 minus 0.34817903934?\nAnswer: -0.53817903934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 9 - (-6 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*m)*(88 + 7*m + 83 - 178).\nAnswer: -14*m**2 + 14*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-20 - (-1 + (-870)\/50))?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -17.9576 and 2361550?\nAnswer: 2361567.9576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 + -6. What is the least common multiple of (-6)\/(-10) - w\/5 and 1 + 3 - (1 - 0)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.06 or 31154?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5 (b) -2.28 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = t - 11, 2*t + 3*u - 7 = 2*u for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 2*p + 3 = -1, 7*q - 5*p + 10 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 7*f + 12 = 0, -4*f - 14 = -j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -275*l**2 - l + 7723 wrt l.\nAnswer: -550*l - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + (-56)\/(-20) + 2\/10. Let j(c) = 49*c**2 + 3*c - 4. List the prime factors of j(x).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 14 = -5*o + 1, 3*y - 2*o = 22. Solve -2*m = 5*t - 0*t + 4, -5*m = -y*t + 10 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/2 + 5 - 6. Let f be (-2)\/(-4)*-27*-6. Calculate the common denominator of -97\/36 and (f + 1)*-4*d\/256.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -6\/5 (b) -4 (c) -878\/11 (d) 3 (e) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 112 + -81. Let d = -33 + v. Let q(u) = u**3 - 2*u - 2*u**2 + u**3 + u**2. Calculate q(d).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -9 + (22 - 30 - 48 - (2 - -1)).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -138.9 + 0.042562.\nAnswer: -138.857438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1330\/1)\/(-7)*(-1 + 531). Round p to the nearest 1000.\nAnswer: -101000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2301 take away -2647037?\nAnswer: 2649338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m**(-5\/3)\/m)\/m**(-8))**14)**(-3\/47))**(-16\/9) assuming m is positive.\nAnswer: m**(3584\/423)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(4356)*-1)\/(3*sqrt(300)))**2.\nAnswer: -22*sqrt(3)\/15 + 196\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2)*q\/(q*q\/q**(-1\/17)))\/(q*q**0*q*q**(-2\/9)*q) assuming q is positive.\nAnswer: q**(-893\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in months?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -254 + 257. Suppose -i*r + 18 = 3*a, 2*a + 29 = 5*r + 13. Solve -4*z + 6 = -4*p - 2, 2*z + r*p + 2 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -5. Let f be (-4)\/(-14) - 12\/(-7). What is the first derivative of -z + f*z - k - 4*z wrt z?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 633617*j**4*w + 2*j**4 + 1317*w + 295 wrt j.\nAnswer: 2534468*j**3*w + 8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -20*y + 4. Calculate s(2).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 28 = 2. Suppose -m + d*m = 20. Suppose 4*q - 1 = -2*k - 7, 15 = -4*q - 5*k. Solve m*c - 12 + q = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-3)\/2*(-57)\/9).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1650 and 3255?\nAnswer: 358050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w + 3*c + 1, -w - 5*c = w + 19 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011011101100 + 1010?\nAnswer: 1011011110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 211866769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 46*q = 47*q, 0 = 4*z + q for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 4*u**2 - 17. Let p be k(-14). Let c = p - -571. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - u**2 + u - 1. Let j be 2\/(-6) - 41\/3. Let s(p) = 11*p**3 + 7*p**2 - 7*p + 7. Give j*r(f) - 2*s(f).\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7385, 12618, 17851, 23084, 28317?\nAnswer: 33550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b**4\/6 + 979027*b**3 + 8223809*b**2\/6 - 1566442*b - 2349662\/3 = 0. Calculate b.\nAnswer: -1174831, -2, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.31 take away 3562?\nAnswer: -3571.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31 + 32. Solve 2*g - n = -5 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 67, 147, 215, 265, 291, 287?\n\"Answer: -m**3 + 87*m - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/13 - 5544*y\/13 - 3841992\/13.\nAnswer: -2*(y + 1386)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in -2\/7, -4, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 6*f - 11*f + 2 - 1.\nAnswer: -17*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z**(-19)\/z)))**(1\/2) assuming z is positive.\nAnswer: z**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 8*h - 3. Let r be o(-4). Let d = -32 - r. Suppose 2*p - 80 = -d*p. Which is the third biggest value? (a) -1\/10 (b) p (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of 0*j - 2\/3*j**4 + 0 + 1\/15*j**5 - 30*j**2 - 10\/3*j**3. Solve g(t) = 0 for t.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -88 * 25.595\nAnswer: -2252.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 7*u**2 - 1. Let c be d(1). Suppose 0*n = -n - c. Is (n\/12)\/((-2)\/556) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + 158\/(-18) - 10\/(-198)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 15 = 7*n. Let g = -23\/60 + 2\/15. Let y = -7 - -11. What is the nearest to 0 in g, n, y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73054.18 minutes to nanoseconds.\nAnswer: 4383250800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1662.688 and 3227.31.\nAnswer: 1564.622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3830425.48488 - 4.\nAnswer: -3830429.48488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 6*x**2 - 10*x + 1. Let t(f) = 5*f**2 - 10*f + 2. Let o(y) = 4*h(y) - 5*t(y). What is o(8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of j**5\/10 - 5*j**4\/24 + 49*j**2. Let m(g) = -3*g**2 + 2*g. Let q(d) = 2*a(d) + 5*m(d). Let r(p) = 11*p**2. What is q(r(x))?\nAnswer: -363*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*v - 15 = -2*t, 5*t + 2*v = 11. Let a = -4 - -6. Is t greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 80942?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 144935 by -19.\nAnswer: -144935\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-924)\/(-15) + 4\/10. Suppose -3*g - p - 13 = 0. Let b be 15\/g*8\/12. Which is bigger: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10972409 > -10972407?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 + 696906706.\nAnswer: 696906706.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*f = -20*f + 162 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 2*j + 2 = 0, 2*a + 5 = j + 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 405*d - 131*d = 0. Let a(l) be the first derivative of -35*l + d*l**2 - l**4 - 49 - 5\/3*l**3. Find the first derivative of a(t) wrt t.\nAnswer: -12*t**2 - 10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 203\/4 + -51. Suppose 0 = 2*i - 0 - 2. Let o = -27 - -27.4. Which is the nearest to i? (a) -4 (b) p (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 4901653.\nAnswer: -2\/4901653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 253 + 4?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j*j\/j**3*j)**(-27))**(-8\/15))**43 assuming j is positive.\nAnswer: j**(3096\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.3 + 1.6. Which is smaller: -0.3 or z?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of 365*p**4\/12 + 5*p**3\/6 - 2*p**2. Let b(s) = -s - 1. Let f(m) = 5*b(m) + l(m). Let z be f(-12). Round z to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.8 - 3. Suppose -45*s - 119 = -344. Which is the closest to z? (a) s (b) 4\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -97*a*s*z**2 + a*s - 851*a*z**2 wrt s?\nAnswer: -97*a*z**2 + a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.119 + 0.119. What is the nearest to -1 in l, 5, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37692802 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -236737.\nAnswer: -236737, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7400, 14796, 22190, 29582, 36972, 44360?\n\"Answer: -x**2 + 7399*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, t: 5, g: 2, h: 2, q: 2, k: 1}. Give prob of sequence ssgt.\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q - 4 + 4)*(0 + 0 - 1)*(22*q**2 + 44*q**2 - 35*q**2) to f*q**3 + l*q + u*q**2 + v and give f.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 615.8077 millennia in centuries?\nAnswer: 6158.077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-14)*6\/(-4). Let c = -0.19 + -0.81. Let b be 4\/6*12\/(-10). What is the closest to c in o, 2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 22 = v, -102*v - 2*a = -106*v + 22 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6)\/(-33) + 1314\/33?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 53 + 33 = 0. What is the second derivative of 202*y**3 + 87*y + 99*y**x - 401*y**3 + 199*y**3 wrt y?\nAnswer: 1188*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27714*s**2 + s + 4769?\nAnswer: -55428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 150 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 399 + -411. Let y be ((-3 - -4) + 3)*(-87)\/g. Is y at most as big as 42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -642216585581\/33 - -19463290634. Let h = x + -2182230. Let p = h - -250. Is -1 >= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 103015115 + 1?\nAnswer: 103015120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*x + 38*x - 1344 = 28*x - 37*x for x.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (47 + -1 - 7) + -17 + 19.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-5 + -2*sqrt(320) + 1 + 0))**2 + 1.\nAnswer: 1152*sqrt(5) + 11665","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.153 and 73?\nAnswer: -11.169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55552 (base 6) to base 9.\nAnswer: 11585","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 46. Suppose 3*s = 4*s + u. Let t = s - -41. Which is greater: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2693567*m**4 + 3*m**3 - 2570*m**2 - 9*m + 466.\nAnswer: -64645608*m + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 6*k - 23 = -k, -3*k = -2*g - 15. List the prime factors of 21 - 0*(-3)\/g.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 - -3*(2 - 3)*1. Suppose 3*s - 17 = -w, 0 = 4*s - p*w + 7*w - 19. Solve -s*n + n - 25 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-9) - 87\/9. Suppose 0 = -4*u, 3*v + u = -7 - 11. Let p = y - v. Is p <= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19863?\nAnswer: 3, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 7. Which is bigger: -5 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3980*h = -69*h + 160351 for h.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5717 - 5714. Let i(f) be the third derivative of -3\/8*f**4 - f**z + 3\/20*f**5 - 6*f**2 + 0 + 1\/20*f**6 + 0*f. Let i(p) = 0. Calculate p.\nAnswer: -2, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 3*k + 141, 1628*k = 4*u + 1626*k - 142. Solve 4*y = 10*y + u for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of p**5\/60 + p**4\/12 + 3*p**2. Let z(w) = -w**2 - 5*w - 6. Let k = 17 - 21. Let u be z(k). Determine d(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-114)\/15 - -8)\/2.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 14*d**2 - 12*d + 11. Let g be i(13). Suppose 5*v + 0 = -3*x + 6, -5*v + g = -3*x. Solve 0 = 2*j - v + 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7834 rounded to the nearest 100?\nAnswer: -7800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/5868015 and -101\/58680150.\nAnswer: 58680150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 924\/1155 - 54\/5. Let b(r) = r**3 - 5*r**2 - 5*r - 4. Let n be b(6). Sort n, -8, k in descending order.\nAnswer: n, -8, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 6*s**2 - 10*s - 8. Give n(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 246\/5 + -49. Put x, -1\/5, 1.1 in descending order.\nAnswer: 1.1, x, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -15844 and 0.045260248.\nAnswer: -15843.954739752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3455861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 4*t + n, n + 74 = 4*t - 0*n. Suppose -3*a = -2*c - 4*a + 7, -4*a = -2*c - t. Which is greater: c or -1\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = -v - 9. Let x(c) = 23*c + 41. Let j be x(-5). Let p = v - j. Calculate the remainder when 106 is divided by p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23284799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one halves of a decade?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1258 divide 2040518463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 5*k**2 - 6*k + 7. Calculate z(5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6264 or -6245?\nAnswer: -6264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (1*(4*sqrt(104) + sqrt(104)))\/(-6*sqrt(512))*4)*-4.\nAnswer: -16 + 5*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43333.2 litres to millilitres.\nAnswer: 43333200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -u + 3*u. Let y(p) = -p - 1. Let c(z) = 5*z + 3. Let w(g) = -11*g - 6. Let n(k) = 9*c(k) + 4*w(k). Give u*y(f) + n(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 400660 to the nearest ten thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3723 and 82311807.\nAnswer: 3723","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*b + 89*b = 5*u - 40, b - 40 = -5*u. Let n(j) = -2*j**3 + 14*j**2 + 14*j + 14. What is n(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 8:45 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or 1771\/146?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -15*c**2 - 9. Let n be 0\/(-2) - (0 + 9). Let a(r) = -8*r**2 - 5. Let i(q) = n*a(q) + 5*t(q). Let u(j) = -2*j**2. Give u(i(g)).\nAnswer: -18*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7010, 0, 3, 9, -5, 4, 1 in decreasing order.\nAnswer: 7010, 9, 4, 3, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -6*b - 12. Suppose 220*g - 52 = 246*g. Calculate x(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of d**8\/336 - d**6\/24 + d**4\/12 - 35*d**3\/6 + 18*d**2. Find the second derivative of u(o) wrt o.\nAnswer: 20*o**3 - 30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -4*r**3 - r**2 + r - 3. Let x be k(-2). Let z = x - 23. Suppose 0 = 3*w - 15, 446 = -z*a + 4*a + 2*w. List the prime factors of a.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78.30179 litres to millilitres.\nAnswer: 78301.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1\/4, -3\/20, 3 in ascending order.\nAnswer: -1\/4, -3\/20, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 1) + (2 - 0). Let j(u) = 4 + 10*u**2 - 8*u + 19*u - 11*u**d - 13*u. Let v be (14\/(-21))\/((-1)\/(-6)). Determine j(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -224*t**2*z - 31360*t**2 - t*z - 3*t + z - 443135 wrt t?\nAnswer: -448*z - 62720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181933.\nAnswer: 43, 4231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*y + 10483 - 421 = 82*y + 109*y for y.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -9, 0, -5, -27 in descending order.\nAnswer: 2, 0, -5, -9, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of 3*q**4\/8 - q**2. Let l(h) = 6*h - 5. Let y(b) = b - 1. Let w(f) = -l(f) + 5*y(f). What is w(u(j))?\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 264.4899 minutes?\nAnswer: 15869394000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1034553436900*i**2 + 8137040*i - 16.\nAnswer: -4*(508565*i - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2. Let a(o) = -3*o. Let f(d) = -2*d. Let p(t) = -5*a(t) + 6*f(t). Calculate r(p(q)).\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2960, 5951, 8932, 11897, 14840, 17755?\n\"Answer: -d**3 + d**2 + 2995*d - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of 439*z**4\/24 - 10*z**3\/3 + 255*z**2. Is c(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1488\/105)\/((-6)\/15). Let q = l - -246\/7. Which is the nearest to 1\/5? (a) 0.1 (b) -5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k - 9. Let i be t(-6). Suppose 0 = -j + 2 + i. Suppose j*h + 37 = 252. Is h a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 316125, 316133, 316153, 316191, 316253?\n\"Answer: r**3 + r + 316123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 271 - 259.1. Let w = t - 1.9. Let m = 9.99996 - w. Round m to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 7*u - 19. Let y be w(3). Let g be (25\/(-50))\/(3*(-2)\/(-12)). Suppose 0 = 4*o, 0*s - 2*s + 3*o = 16. Put s, y, g, -4 in ascending order.\nAnswer: s, -4, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2730 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 57933 divided by 6437?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/9? (a) 2 (b) -30 (c) -4 (d) -83\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 1 + 7 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of 0*c**3 + 0 - 7\/60*c**5 + 1\/8*c**4 - 49\/20*c**6 + 31*c**2 + 0*c. What is the third derivative of d(b) wrt b?\nAnswer: -1764","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 7 - 3)*(-29*o**3 + 58*o**3 - 27*o**3) as t*o + q*o**3 + a*o**2 + d and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-3)*35\/(-210).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (90\/(-252))\/(1\/(-3)*5)\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(((((k\/(k*k*k*k*k*k*k**(2\/15)*k))\/k)\/k*k)\/k)\/k)\/k*k*(k\/((k*k*(k\/(k*k*k*k**(-6\/17)))\/k)\/k))\/k)**(2\/25) assuming k is positive.\nAnswer: k**(-3308\/6375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 572 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3 + 15 = 0. Let r be ((-4)\/i)\/(2\/15). Solve 0 = 2*t - t + r for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 12. Sort -2.7, y, 5.\nAnswer: -2.7, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of 0*n**4 - 1\/6*n**3 + 0 - 1\/105*n**7 - 2*n**2 + 0*n**5 + 0*n**6 + 0*n. Differentiate p(t) with respect to t.\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*p + 14527 = 14723 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -63*t - 71. Let l(r) = 3 + 94*r + 37 + 45 + 22. Let n(u) = -5*l(u) - 8*y(u). Differentiate n(s) with respect to s.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a be (42\/9 - 5) + (-409)\/(-3). What is the hundreds digit of 6\/2 + 23 + a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 344\/10*20\/8. Let q = v - 56. Is q a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1450493, -5801970, -13054433, -23207882, -36262317, -52217738?\n\"Answer: -1450493*g**2 + 2*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 33.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 3:58 AM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 - 3*g**3 - g**2)*(150 - 304 + 280)*(g**2 + 3*g**2 + g**2 + 1 - 2*g**2 - 1 + (2 - 2 + g)*(-g + 2*g - 3*g) + g**2 + 24*g**2 - 9*g**2).\nAnswer: -6426*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30836?\nAnswer: 2, 13, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 11079?\nAnswer: 11079","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 4553956782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 43*q + 59. Let t be l(35). Let d = t - 1529. Let j = 6 + 7. What is the remainder when d is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -5*s**5 - 8*s**3 + 2*s**2. Let m(b) = 2*b**5 + 3*b**3 - b**2. Let a(o) = -8*m(o) - 3*u(o). What is the third derivative of a(g) wrt g?\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 180 divide 16782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 1678?\nAnswer: 11746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l**2 + 5*l - 21. Let b(c) = -c**2 + 3*c - 10. Let d(p) = 4*a(p) - 9*b(p). Let h be d(8). Solve 2*x + h = -3*x + g, x - 2*g = -10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12003247\/50 + 240056. Let i = 146\/25 + n. Let v = 491 + -5414\/11. Find the common denominator of v and i.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -452*r**2 + 34 - 34 + 2312*r**2.\nAnswer: 1860*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -227 + 2041\/9. Let g = 482.4 - 482. Which is the closest to t? (a) -0.06 (b) -5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6651.553 millilitres?\nAnswer: 6.651553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1072?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/19 in 90, 0.21, 2\/17, 1\/3, -1?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 11*c - 49. Let u be l(12). Are 85 and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 4*s + 3. Let o be i(2). Let v = -232 - -248. Suppose v*u - 29*u = -26. What is the highest common factor of o and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 7 = 9. Calculate the common denominator of f\/(-6)*-1*(-202)\/(-24) and 139\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00402919 to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0466200587 + -19.\nAnswer: -19.0466200587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63974 and 522?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -107a00 - 0?\nAnswer: -107a00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 251366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x*x**(1\/32)))\/x**23*(x**(1\/9))**(-28\/5) assuming x is positive.\nAnswer: x**(-35501\/1440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + t + 3*f - 48 = 0, -t - 19 = f. What is the units digit of (t\/(-12))\/((-2)\/(-8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*n*u**6 - n*u**5 - 2*n*u - u**3 + 231*u**2 wrt u?\nAnswer: -600*n*u**3 - 60*n*u**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1296\/192*4\/(-30). Is m smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**2 + 3. Let o(y) = -2*y. Give v(o(b)).\nAnswer: 8*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*52.5.\nAnswer: 15.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.06, 116 in ascending order.\nAnswer: -4, 0.06, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 7358 divided by 4\nAnswer: 3679\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3541*j - 67036. Calculate d(18).\nAnswer: -3298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 373, 1\/3, -10\/3, 248?\nAnswer: 248","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1510 + 1535.18. Let a = y + -23. What is a rounded to 1 dp?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of t**4\/30 - 8*t**3\/45 + 4*t**2\/15 - 1. Factor o(r).\nAnswer: 2*r*(r - 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 8 = 4*l, -2355*o + 2351*o = -3*l + 25 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 8. Let j(h) = h**3 - 4*h**2 - 7*h + 4. Let o be j(g). Is o*-3*6\/27 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/15 (b) -40 (c) -2.1 (d) 3 (e) -89 (f) -6 (g) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3560 (base 8) to base 11\nAnswer: 1481","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, 32, 90, 164, 260, 384?\nAnswer: 542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1302507.\nAnswer: 3, 19, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 2:24 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -11078*g + 221545. Determine b(20).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*k - 14 = -3*q, -3*q - 5*k + 31 = 0. Let y(v) = -5*v**2 - 2*v + q*v. Let c(r) be the first derivative of -r**2 + 1. Calculate y(c(d)).\nAnswer: -20*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (16\/4)\/(-4) - 3. Sort 1, w, -3.\nAnswer: w, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) + sqrt(175) + -1 - sqrt(21)\/sqrt(3)*-1 - (sqrt(28) - (-1 + sqrt(1792) + sqrt(28))))**2 + -4.\nAnswer: -108*sqrt(7) + 5103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bo when two letters picked without replacement from bobebeooboeoeb?\nAnswer: 25\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9414813679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 303 + 1264. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 130 and 20605?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 458.25 rounded to the nearest 10?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 153 (b) -46 (c) 1 (d) 3 (e) 0 (f) 1\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 250777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + a + 11 = 0, -5*k - a - 27 + 1 = 0. Let d = k + 11. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 4*f - 5 - 6 + 4. Let r be k(3). Solve -j = 4*j + 5*i - 25, 4*i + r = j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1627 + 2326. Suppose -2*n + z = n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -3*u - 137352, -33*u + 20 = -28*u. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83834 + 53455 = 51*u - 258910. Does 5 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44494246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b. Let q(d) = 5090117*d**2 - 2. Calculate q(a(y)).\nAnswer: 5090117*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2456046 divided by -2456046?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300*o - 5108 = 9*o - 1709 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of x**3\/3 + 3*x. Let o(c) = -10*c**2. Calculate f(o(b)).\nAnswer: -20*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 18*f**2 - 17*f + 6. Let i be b(-17). Suppose y + 7 = i. What is the units digit of y*14*(-4)\/8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.9499 + -0.0799. Sort -0.4, -1, -2, n.\nAnswer: -2, -1, -0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 4*n**3 + 2*n**2 + 2*n + 3. Let a(v) = -20 - 5*v**2 + 3 + 10 - 5*v - 7*v**3 + 0*v. Give 2*a(l) + 5*h(l).\nAnswer: 6*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-16)\/(-20)*1)\/(4\/110). Suppose -4*v + 16 + 0 = 2*i, v = 4*i + f. Solve -5*k + 3*b + 20 = 0, -b = -2*k + k + v for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -62, -234, -538, -986, -1590?\n\"Answer: -2*j**3 - 54*j**2 + 4*j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 5*s = 17, 5 + 4 = 3*s. Solve w*r - r = o - 4, 2*o - 4*r - 8 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -0.4, 17.33?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14323\/21 - 4765\/7. Sort 37, r, -0.1.\nAnswer: -0.1, r, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.3 - -195.1. Round d to the nearest 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(136) + sqrt(136) + sqrt(136))*-5 - 1*(sqrt(136) + (sqrt(136) - -2*sqrt(136))))\/(-4*sqrt(800)).\nAnswer: 9*sqrt(17)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.9*260.02\nAnswer: -234.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 265 < 263?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 242 - 28*j + 7*j + 239 + 30*j - 481.\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -6*p - 4*p - 4 + 19*p - 8*p. Let o be 75\/10*2*(-8)\/20. Give a(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 8*m**2 - 8*m - 6. Let h be y(-6). Let f = 179\/6 + h. Let c = 0.17 - 0.07. What is the closest to c in 3, f, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of 2*i**2 - 4 + 4\/5*i**5 + 4*i**3 + 0*i + 3*i**4. What is s in n(s) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/((-256)\/640)*(-54)\/450.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11*(-1)\/(-2))\/(-32 - (-910)\/28)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.422 - 0.022. Let r = 3.4 - v. What is the second smallest value in 0.5, -5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*g + 6*g. Suppose 2*j + 55 = 3*d - 2*j, -4*d - j + 67 = g. Does 4 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 197*n**2 + 266*n**2 + 56 - 268*n**2 as a*n**2 + v*n + p and give p.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (v**3 + 5*v - 5*v)*(-2 + 5 - 2)*(-10 + 5 + 8) to p*v**2 + t*v + d + n*v**3 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of 0 - 1\/1050*k**7 + 0*k**3 + 0*k + 1\/300*k**6 + k**2 - 1\/300*k**5 + 0*k**4. Factor i(v).\nAnswer: -v**2*(v - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 0, -8\/35?\nAnswer: -8\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h + 8. Let n be q(8). Suppose -526 = -5*y - p - 153, 5*y - 4*p - 358 = n. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3218849954 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/2295 and -52\/255?\nAnswer: 2295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -3*q**3 + 93*q**2 - 90*q = 0.\nAnswer: 0, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**3 + 7*v**3 - v**3)*(49 - 8*v**2 - 49).\nAnswer: -64*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21741 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 7*j + 6)*(0 + 4 - 3)*(-j + 2*j**2 + j).\nAnswer: -14*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (26\/8)\/(-13 + 765\/60). Let k = 32 + -14. Let j = x + k. Is j a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/60 and 61\/8.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 10, 3, -4, -11, -18?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wj when two letters picked without replacement from {w: 2, j: 7, v: 1}?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 1444*p + 5. Let i be n(1). Let d = -818 + i. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -9*v + 3. Give d(-3).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10818 - -4?\nAnswer: 1081c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2071 + -1881. What is the highest common divisor of l and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1133378 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 40209?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2 + sqrt(275) - sqrt(275))**2 + (-2 + sqrt(275))**2*-6.\nAnswer: -1670 + 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c - 59. Let p be x(-25). Calculate the least common multiple of 11\/(33\/12) + p\/(-3) and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 - 14 + 14 = -3*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29 + 9 + 8 + 11 + s**4 - 2*s**5 - s**5 + 6*s wrt s?\nAnswer: -60*s**3 + 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 741142588.\nAnswer: 2, 71, 2609657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 37258 = -2*i, -4*m + 52*i = 50*i - 149008. Suppose 17*v + 24613 = -m. Round v to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3*x. Let f(u) be the second derivative of 2*u + 0*u**2 + 0 + 0*u**3 + 1\/6*u**4. Calculate q(f(h)).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**29)**(-3\/10)\/(r**20*r**24*r) assuming r is positive.\nAnswer: r**(-537\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 3204 - 831. Let c = h - 1941. Round c to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (249 + 148 + 28 + 202)*(2*l**2 + 0*l + 0*l).\nAnswer: 1254*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(13) + sqrt(13) + (sqrt(52))**2 - (4 + sqrt(52)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 20*i**2 + 2*i + 20. Let v be l(-20). Let y(g) = -14*g + 5. Let a be y(-3). Suppose -50*d - 15 = -a*d. Sort -2, d, v, 1 in descending order.\nAnswer: 1, -2, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + sqrt(2) + sqrt(4)\/sqrt(2) - sqrt(72)*-1)**2 + 4.\nAnswer: 16*sqrt(2) + 133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7488244661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a + 9. Let u be n(0). Suppose 4*f = 3*f + u. Suppose -c + 3 + 1 = 0, 5*z + 5*c - 95 = 0. What is the remainder when z is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 6 (b) 1\/77 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3903\/130 - -402\/13. Is -5 <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h. Let m(u) = -u**2 - 4*u + 567. Determine v(m(n)).\nAnswer: 3*n**2 + 12*n - 1701","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 - -3)*(4 - 3). Let w(y) = -11*y**3 + y**2 + y. Is w(o) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b. Let o(k) = -5*k**2 - 6*k - 6. Let w(r) = r**2 + r + 1. Let h(u) = -o(u) - 6*w(u). Determine h(v(c)).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 420 - 803\/2. Calculate the common denominator of 19\/11 and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-860)\/(-200) + -4 + 0. Is g at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(5\/11)\/((g*g**(-14\/3))\/g) assuming g is positive.\nAnswer: g**(169\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3286 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1905 to the nearest one hundred.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of 27*k**6\/10 - 39*k**2\/2 - 21*k - 2. Find the first derivative of n(i) wrt i.\nAnswer: 324*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, v: 5}. What is prob of picking 2 b and 1 v?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**2 + 0*f**2 + 4*f**2)*(26 - 26 + 5*f)*(0*f - 2*f + f).\nAnswer: -35*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/5, 4, -0.2, 10\/7?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -95.7 + 111.7. What is the biggest value in -1, 0.2, -5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 535 + -31120?\nAnswer: -30141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 11*t - 14*t + 46255, 0 = -5*d - 4*t + 46260. List the prime factors of d.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ftt when three letters picked without replacement from {f: 7, t: 3}?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - -1. Let i be (-5)\/6*(-12)\/(-40). Let m = -3.02 + 0.02. Which is the nearest to i? (a) m (b) 2\/3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 10, -2*w - 29 = -2*l + 11. Solve 60 = -l*r - 15 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 21*c**2 + 2*c - 52. Let z(q) = -24*q**2 - q + 51. What is -3*b(o) - 4*z(o)?\nAnswer: 33*o**2 - 2*o - 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -7 + 3 + 6 - a + 3. Let u be m(3). Which is smaller: 4 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -2*v**3\/39 - 4*v**2\/13 - 8*v\/13 + 4. Factor u(x).\nAnswer: -2*(x + 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 6:29 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 3:47 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 2567.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13700 and 445250?\nAnswer: 890500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2545646 (base 7) to base 5\nAnswer: -41042410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 2100062\nAnswer: 5\/2100062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 11*v = 5*y - 355, 5*v + y - 351 = 0. Is 69 > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0339 or 2\/5?\nAnswer: 0.0339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of 95 - 39 - 10*i**3 - 8*i**3 + 10*i**3. Let j(g) be the third derivative of -g**4\/24 + g**2. Determine l(j(x)).\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 19*y + 6. Let c = -60 - -12. Let r = 29 + c. Let i be o(r). Solve -4*t - 14 - i = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 897 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 227157730?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + 0*y - 5*y)*((33 + 34 - 20)*(2*y + 5 - 5) - 3*y - 1 + 1).\nAnswer: -182*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 943893464 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 16. Sort -3\/7, 0.01, l in descending order.\nAnswer: l, 0.01, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2829 divided by 17?\nAnswer: 2829\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 13*g**2 + 22*g + 9. Calculate h(11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 99643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h + 88 = 10648. Let r = 906 + h. Is r a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4 + 0.3. Let t = -144 - -85. Let s = t - -56. What is the smallest value in q, s, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r - 51*r + 3*r**3 + 8 - 80*r.\nAnswer: 3*r**3 - 129*r + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -17*s**2 + 8*s - 12. Let r(i) = 4*i**2 - 2*i + 3. What is 2*j(c) + 9*r(c)?\nAnswer: 2*c**2 - 2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50932 by -2788.\nAnswer: -749\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 49*g**2 + 32*g - 322. Calculate v(-50).\nAnswer: 578","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let w be (7\/(84\/16))\/(3\/9). Suppose 3*j + w*y - 223 = 0, -j - 7*y = -9*y - 81. Let z = 18 + 4. Calculate the greatest common divisor of j and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -346*m - 79. Let i be u(-6). Let w = i - 1098. Is 52 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 3*w + 2*w**4 + 9*w**2 - 20*w**2 + 13*w**2 to g*w**2 + k + j*w + q*w**4 + n*w**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4 = -1. Suppose 30 = 4*w + 2*u, -u + 13 = -4*w + 28. Put o, -5, w in descending order.\nAnswer: w, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 303, 296, 285, 270?\nAnswer: 251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -99811, -399231, -898265, -1596913, -2495175, -3593051?\n\"Answer: -99807*w**2 + w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 458*p**2. Let z(g) be the second derivative of -13*g**3\/6 - 70*g - 14. What is v(z(x))?\nAnswer: 77402*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (27\/12)\/((-15)\/(-620)). Suppose -95*k = -s*k - 36. Solve 15*b - 6 = k*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 879212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -34 in 0, 38, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**2 + 14*j**2 - 2*j**2)*(-4 + 4 - 7*j)*(-2 + 1 + 2).\nAnswer: -105*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 26 = 2*i + 3*g, -5*i + 21 = 2*g. Solve 0*v = i*d - 2*v + 25, 4*d = -3*v + 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 2*d + d + (-2 - 2 + 5)*(-d + 4*d - d) + 87 - 87 - 23*d + 6*d + 2*d - 2*d + (d - 2*d + 0*d)*(-3 - 1 + 3) - d + 3*d - 4*d - 2 + 2 - d)*(2 - 4 + 3).\nAnswer: -16*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a microsecond in nanoseconds?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -117800 divided by 3800.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) + -1 + sqrt(300))*5 - (-2*sqrt(300) + -3))**2 - (-4 + (2 + sqrt(108))**2 + 5 + sqrt(108)*-1).\nAnswer: -498*sqrt(3) + 43091","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136077040?\nAnswer: 2, 5, 11, 239, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-594)\/396)\/((-6)\/(-4)*11).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-51)\/2*(-12)\/18. Suppose -s - q = -143. Let h be 11\/(-44) + (-57)\/(-4). Calculate the highest common divisor of s and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1009159 divided by -2\nAnswer: 1009159\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -g**6\/180 + g**5\/15 - g**4\/3 + 13*g**3\/6 - 9*g. Let s(x) be the second derivative of c(x). Let s(d) = 0. What is d?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2449183 (base 10) in base 15?\nAnswer: -335a3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002313459426 rounded to 7 decimal places?\nAnswer: 0.0023135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5524 + 0.4?\nAnswer: 0.9524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29 and 2581?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4686 and 1254?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48.56 + 48. Let s = m - -0.96. What is the closest to 0 in 4, s, 4\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 3\/2*w**2 + 9\/4*w + 1\/4*w**3 + 0 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*t = -63 - 2, -3*o + 78 = -2*t. What is the lowest common multiple of 24 and o?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3515 is divided by 183.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zucckzpckczzukkuzzp. What is prob of sequence ckuk?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -95017283\/657 + 144623. Calculate the common denominator of -57\/365 and f.\nAnswer: 3285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21894 is divided by 10364.\nAnswer: 1166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 j when three letters picked without replacement from hmmwmomhjohgogm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 241\/19 + (-28028)\/(-5390)*10\/(-4)?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33176 - 33174. Determine f so that 264\/5*f + 48\/5*f**n + 363\/5 = 0.\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -5*o - 5, -9 = -v + 4*o + 2. Let z be 6\/15 - 193\/v. What is the units digit of 72\/z - (-8)\/52?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 17*w - 12. Give f(14).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (235\/10)\/(1\/2). What is the remainder when (4 - 5)\/((-1)\/m) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414 is divided by 237.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*k**5 - 4505*k**4 - 1483400*k**3 - 208624000*k**2 - 10126480000*k + 43940000000 = 0. What is k?\nAnswer: -260, -125, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7014 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1, -0.3 in ascending order.\nAnswer: -0.3, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 2*u**2. Let j(p) = 8*p**3 - 17*p**2. Suppose 3*d = -70 + 223. Calculate d*s(q) + 6*j(q).\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.28, 0.0672, 1\/8, -2 in descending order.\nAnswer: 0.28, 1\/8, 0.0672, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - 2*v**2 + v)*((0 + 4 + 1)*(-4 + 1 + 0) - 4 + 3 + 3)*(0*v + 4*v - 5*v) + 3*v**3 - v**3 + 15*v**3.\nAnswer: -9*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*p, -s - 3*p - p = 12. Let q be 1498\/10 + 1\/5. Suppose b - 4*l - 337 = s, -5*b = 5*l - q - 1410. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7)\/(42\/12) - -7. What is the third biggest value in y, 4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92, 133, 200, 293, 412, 557?\nAnswer: 728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 11*t**3 - 12*t**2 + 30*t - 6. Let f(j) = 5*j**3 - 6*j**2 + 15*j - 3. Let b(n) = 9*f(n) - 4*i(n). Is b(6) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 131c6c + 3?\nAnswer: 131c72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 - 14da341?\nAnswer: -14da347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38 - -41. Which is the nearest to 3? (a) 0.4 (b) -1\/7 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 5:31 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 84 = 12. Is l a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 157.949 times -26?\nAnswer: -4106.674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbt when three letters picked without replacement from bbtqggxxxqxxxtbgxq.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c + 14. Let m be x(-11). Suppose 4 = a + 4*r, -m*a = 4*r + r - 26. Suppose -3*p = -p - 56. Calculate the smallest common multiple of a and p.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 33 - 9 = 0. Suppose i = -n + 101. Suppose 0*c - i = -2*c. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -633909\/34 - -18646. Find the common denominator of -17\/22 and f.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 7*f**2. Let d(y) be the first derivative of 2*y**3 - 7. What is d(h(l))?\nAnswer: 294*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/2 - (5 - 66\/11). Solve -2*y = c, 0 = 4*v + 2*y + 3*y + 20 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26\/1395 or 1?\nAnswer: -26\/1395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.53 rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 92*a**2 + 548*a - 1904. Determine d(4).\nAnswer: 1760","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10 + 0)*(-3)\/6. Let s(h) be the third derivative of h**4\/24 + h**3\/3 - 4*h**2. Give s(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3 + 2*h - h + 26. Let j be a(0). What is the highest common factor of j and 253?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.1 - 1.9. What is the closest to 2 in -4, j, -0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18154 times 25?\nAnswer: -453850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 12168 + 11718. Suppose j = 5*q + 3998. What is the hundreds digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 415875.09 rounded to the nearest one hundred?\nAnswer: 415900","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2821 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (538 - 4*z**2 - 329*z - 539 + 227*z)*(-3 - 1 + 6) to the form p*z**2 + a*z + o and give a.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2121 + 2132. Suppose 14 + 30 = 4*g. Calculate the greatest common factor of n and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 42\/185 and 143\/1822176.\nAnswer: 9110880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1899?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -14*j + 5 - 1 + 7*j + 10. Let p be z(2). Solve p = -0*c + 2*c + 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-1 + -4 - -1) - 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1022 and 55042?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/11, 6, 0.1 in decreasing order.\nAnswer: 6, 0.1, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 2*o**3\/7 - 91636*o**2\/7 + 274894*o\/7 - 26180 = 0.\nAnswer: 1, 2, 45815","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*r**3 - 300876*r**2 - 2243428.\nAnswer: -33*r**2 - 601752*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*p - 39 - 29. Let d(v) = 2*v**2 - 2. Let h(i) = i**2 - 2. Let y(n) = p*h(n) - 2*d(n). Let q(z) = -460*z. Determine q(y(x)).\nAnswer: 920*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 8*u + 4. Let b be s(8). Solve 4*v + 3*r = -0*v - 5, 4 = -4*v - b*r for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 4*f**3 - 144*f**2 - 3*f + 118. Give p(36).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 204341 and 877?\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7842)\/(-2) + (0 - -4) + -4. Suppose -f = -i + 1698. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of 19\/60*r**5 + 0 + 0*r**3 + 0*r - 18*r**2 + r**4. Find the second derivative of k(m) wrt m.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3174 - 3175. Let t = -35.7 - -32. Let h = 4 + t. Which is the nearest to j? (a) 5 (b) h (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 7:35 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and -27.09.\nAnswer: -26.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*p + 27. Let f be p\/(-99) + (-4)\/(-22). Solve -4*z + i = -16, 2*z + f*i - 8 = 2*i for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 243 and 389736?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1633027 by 5.\nAnswer: -1633027\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/2, -3\/4, 117467, 1, 0, -3 in decreasing order.\nAnswer: 117467, 5\/2, 1, 0, -3\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + 3*t + 4. Let c be z(4). Suppose c*x + 8 = 2*x. Determine o, given that o**4 - o**2 - 3*o**4 + x*o**3 - o**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 168*p + 5*p**2 + 37881*p**3 - 3*p**2 - 37882*p**3 in the form x*p + y*p**2 + b*p**3 + k and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -42716237011 less than 701?\nAnswer: 42716237712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 1218 = 132. Suppose -3*q + 8*q + k = 0. Let r = -8 - q. Is r a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -586, -3 in ascending order.\nAnswer: -586, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 2\/29 (b) -1\/4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.7530413 to 1 decimal place.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1569240 and 360.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of x**7\/1050 + x**6\/24 + 23*x**5\/150 + 462*x**2 + 2*x. Determine t, given that f(t) = 0.\nAnswer: -23, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -4*o**4 + o. Let k(u) be the third derivative of -u**4\/24 - 2*u**2 - 193*u. Determine k(f(c)).\nAnswer: 48*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of t**4\/4 + 4*t**3 + 24*t**2 + 2*t. Let g(l) = 0. Calculate l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xm when two letters picked without replacement from pppwxmpwmwppwpmpmpxp.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 13 + -3 + 39 + -49. Let g(y) be the third derivative of 2*y**4 + l - 12*y**2 + 8\/3*y**3 - 7\/15*y**5 + 0*y. Let g(o) = 0. Calculate o.\nAnswer: -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -38729*b - 3717995. Give y(-96).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.03 + -2.03. Let o(b) = b**3 - 4*b**2 - 15*b + 19. Let h be o(6). Let y be (-80)\/(-30) - 4\/2. What is the closest to h in y, -1\/7, d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -i**6\/840 - 11*i**5\/28 - 3025*i**4\/56 - 14*i**3\/3 - i**2 + 69. Let z(b) be the third derivative of n(b). Factor z(c).\nAnswer: -3*(c + 55)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 77571*c*j**2 + 3*c*j - 420*c + 17*j**3 - 2632 wrt j.\nAnswer: 155142*c*j + 3*c + 51*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*s - 16 = -23*s. Is ((-9564)\/18)\/(s\/(-12)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (165 + -176 - 14) + (1 - -24)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {k: 5, o: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -595987 divided by -85141?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/2*-1 + -14167 + 14113.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 0.133.\nAnswer: -0.0399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 0 + sqrt(21)\/(sqrt(700)*-1 + sqrt(7)) + -2)**2.\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 1 + 4 - 3 - 3. Let s(z) be the third derivative of z**4\/12 - z**3\/3 + 2*z**2. What is -4*l(a) + s(a)?\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from wwwwwwwwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 6:44 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 96 + 56. Suppose -4*z + 254 = 5*d - 8*z, 3*d = 2*z + i. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 12 + 6 = -3*m, l + m = -3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 733, 778, 811, 826, 817, 778, 703?\n\"Answer: -u**3 + 52*u + 682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2. Suppose -u + 2*t - 8 = 0, 0 = 5*t - 4*t - 5. Let x = 11 - 8. Let j(w) = 2 - u + x*w. Calculate g(j(d)).\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -123, -221, -313, -399, -479, -553, -621?\n\"Answer: 3*p**2 - 107*p - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(396)*3 + -3 - (sqrt(396) + -1)*-2) + -4.\nAnswer: -19 + 90*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 447756754 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12340 and 32.\nAnswer: 98720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 15*q**2 + 15*q + 5. Let h be s(-14). Let i = 9 - -8. Calculate the remainder when 4 - -44 - (-9)\/h is divided by i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*t**2 - 9*t**2 + 12*t + 7*t**2 - 9*t**3 wrt t.\nAnswer: -54*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 4 = -3*p. Let n(j) = 2*j**2 - 7*j + 6. Let x be n(p). Suppose 0 = -6*f + x*f - 236. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3861 + -2720. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 706113749 to the nearest integer?\nAnswer: 26573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1044, 1343, 1842, 2541, 3440?\nAnswer: 4539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*i - i**3 - 7*i - 628 + 248 + 286 as j + t*i**3 + s*i + z*i**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 4 = 2*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -5*a + 4*z + 12, z = -5*a + 21. Solve 0*v - 3 = -v, 0 = -5*b + a*v - 10 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58037 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a millennium in months?\nAnswer: 79200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 212486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 105 = -b. Suppose 0 = -18*y + b*y - 33. Let h = -11 + y. Solve 0 = -5*p - 10, -2*j + h = 3*p + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*y - 13*y - 6. Let b = -6 - -5.92. Let i = 0.04 + b. Is y at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 - 21. Let q = 8 - 5. Let m = f - q. Sort 3, 0, m in decreasing order.\nAnswer: 3, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d - 63 = -4*q - 2*d, -5*d = 3*q - 91. Let p(h) = 4*h - q + 22. Let n(a) = -4*a. Give p(n(k)).\nAnswer: -16*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -684 - -679. Which is the nearest to 2\/5? (a) -1\/2 (b) 5 (c) s (d) -9\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 81 = -4*x, -63 = -4*x - 4*j + 7*j. Calculate the highest common divisor of x and 261.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12529761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 426.1, -4, -2\/7, 0.5, -1\/4 in decreasing order.\nAnswer: 426.1, 0.5, -1\/4, -2\/7, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 11, u: 1}. Give prob of sequence ju.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23988 and 1121696871.\nAnswer: 5997","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 304559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*sqrt(130) - sqrt(130))\/(sqrt(30)\/(sqrt(12)\/sqrt(4))) - 3*((2*sqrt(117) - ((sqrt(208)\/sqrt(4))**2 + sqrt(52))) + -1).\nAnswer: -9*sqrt(13) + 159","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 + 0)\/(-3)*-8. Suppose 2*k - 3*k - q = 0. Let o be (-12)\/k*16\/6. Solve 2*c - 2 = b - 10, o = -c for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 81 and 3936438.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/16 + 4 + (-62)\/16\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1766 + 318206?\nAnswer: 316330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-45)\/(-6))\/(3\/2). Suppose -5*f + 8*f - 6 = 0, 0 = u*h + 3*f + 129. Does 4 divide ((-4)\/(-12))\/((-1)\/h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 446015762 - 446015762 + 49*u.\nAnswer: 49*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65483?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54 and 192.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93, -178, -263, -348, -433, -518?\nAnswer: -603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6120 and 391?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1534, -1605, -1724, -1891, -2106, -2369, -2680?\n\"Answer: -24*n**2 + n - 1511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15830 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ed when two letters picked without replacement from ddddede.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2678976 is divided by 446495.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 69837710 to the nearest ten thousand.\nAnswer: 69840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3791 + -f?\nAnswer: -37a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/((j*j**(1\/4)*j*j)\/j)))**(3\/2))**29 assuming j is positive.\nAnswer: j**(783\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -98\/45 + 12\/5. Let p be (-3 - 103\/(-35))\/(2\/10). What is the closest to 0.1 in -4, d, p?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4\/5, -2, -0.1, 2, -13\/15 in decreasing order.\nAnswer: 2, 4\/5, -0.1, -13\/15, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 86671.8 millennia?\nAnswer: 866718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = g - 24. Let j = -281 - -284. Let w(z) = 88*z - 48. Let d be w(j). What is the highest common factor of d and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 4*j - 43 - 6, 2*j + 8 = -4*f. Let m be (4\/(-6))\/((-20)\/j). Which is smaller: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2762960 is divided by 212389?\nAnswer: 1903","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 3:52 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 4*z**2 - 1. Let q be m(4). Let v(j) = 2*j + 9. Let k(w) = -7*w**3 + w**2 - 1. Let b be k(1). Let r be v(b). Put -2, q, r in increasing order.\nAnswer: r, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-15)\/1)\/(-5))\/((-114)\/(96\/16))?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, j: 2, u: 6}. Give prob of picking 1 j and 3 y.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 59\/4 of a gram?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 + -32 + (16 - (-34 - -5))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*4\/(-8)*1. Let b be (j + -1)\/(1\/3). Suppose -b*x + 2 + 10 = 0. Solve -p + 5 = -2*p, -30 = -5*f + x*p for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*w**2 + 10*w**2 + 5*w - 12*w**2 - 3*w**4 + (0*w - 2*w + w)*(-8*w**3 + 6*w - 6*w) to n*w + f*w**4 + h*w**3 + j + s*w**2 and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 337?\nAnswer: -338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {m: 1, u: 17}.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01430525 to 3 dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 4*k**2 + 3*k + 1. Let x be i(-1). Solve -v - v = x for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-4))\/(5\/(-100)). Let x be 12\/(-110) + 1\/g. Let q = -2 - -1. What is the closest to -2\/7 in -4, q, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((26\/(-4))\/(-13))\/((-4)\/64)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167481889.\nAnswer: 5023, 33343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2214041.\nAnswer: 41, 54001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6201468 * -0.4\nAnswer: 2480587.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w + w + w - 16*w + 47*w - 11*w + (-w + 0*w + 0*w)*(2 + 3 - 3) - w + w - w - 62 - 4*w + 62 to o + k*w and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.28 + 0.7. Let p = g - -0.58. Let m = 0.08 + 2.92. What is the second biggest value in 9, m, p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.07113 millilitres to litres.\nAnswer: 0.08407113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -9, 0.154, -0.029?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -9*((-52)\/84 + (-2)\/(-7)). Put q, -0.2, -0.4, -7 in descending order.\nAnswer: q, -0.2, -0.4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 246*g - 249*g = -9, -7 = -2*j - g. Sort 0, -2, 17, j, 4 in descending order.\nAnswer: 17, 4, j, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 5*t + 125*t**2 + 0 - 255*t**2 + 131*t**2 - 1. Let j = -6 + 11. Suppose -j*f - 4 = 21. What is u(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3312333 (base 6) in base 12?\nAnswer: 7b6a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 3:54 PM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-3 + 0 + sqrt(162) + -1)*-4 + (sqrt(162) - (sqrt(162) - (sqrt(162) + -2)*1)) + -3*-3*sqrt(162))**2.\nAnswer: -24112 - 6048*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - f - 7. Let q be t(4). Suppose -11*r + q = -39. What is the remainder when 5 is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 98 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (84\/(-210))\/(2\/65) + 4.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (110*(-2)\/(-4))\/(1\/2).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of 3*v**5\/20 - v**4\/6 + v**2\/2 + 6*v. Give b(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-6.7\nAnswer: -6.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4*o + 56 = 5*p, 2*p = -5*o + 395. Let n = 136 - o. What are the prime factors of n?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2. Let u(s) = 117*s + 92*s + 57*s - 40*s. Give r(u(z)).\nAnswer: -51076*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16.79 + -0.26. Let g = t - -16. Let l = g - -1.050333. Round l to 5 dps.\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.3 (b) -0.04 (c) 3 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13671 equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-1)\/4)\/(2\/(-376))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-10))\/(12\/15)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 5633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -3*l**4\/4 - 585*l**3\/4 + 10425*l**2\/4 + 63045*l\/4 + 39879\/2 = 0?\nAnswer: -211, -3, -2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13\/3 - 5. What is the closest to 2\/5 in 0.5, j, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, -1, -2\/23 in descending order.\nAnswer: -0.06, -2\/23, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 10940 divide 2804587455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 q when four letters picked without replacement from {k: 10, q: 4}.\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -55 - -92. What is the remainder when v is divided by (-72)\/(-7) + (-112)\/49 + 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3 = -0*c. Let g(z) = z - 3. Let x be g(9). Let b = x - c. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 154 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2690 is divided by 75?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 58 - 56. Suppose -5*c = -5*a, -4*a - h = -3*c - 2*c. Suppose c*r = -206214 - 277786. Round r to the nearest ten thousand.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j**3*r*w**2 + 2*j**3*w + 14659*j**2*r**3*w**2 - 89*j**2*r**3 - 11*j**2*r**2*w + 4*r**2*w wrt w?\nAnswer: -4*j**3*r + 29318*j**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/27561 and 61\/73496.\nAnswer: 220488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*b - 74*b = 0. Solve m + 7*m + 8 = b for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 309212843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert a0804b (base 13) to base 2.\nAnswer: 1110001110110010001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4913, -19691, -44321, -78803, -123137, -177323, -241361?\nAnswer: -315251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 2, -3, 5 in decreasing order.\nAnswer: 22, 5, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 128 = -38. Let q be 536\/k + 34\/85. What is the greatest common divisor of 6 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 899*j**3 - 9*j**2 - 20*j + 18. Let y(i) = -i**3 + i**2 + 3*i - 3. What is -x(z) - 6*y(z)?\nAnswer: -893*z**3 + 3*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of 2*i**3\/3 - i**2\/2 + 2*i. Let j be d(1). Solve -4*m + 12 = -3*b - j, -4*m = 3*b + 15 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64a32c (base 15) to base 4\nAnswer: 102102032001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6.5 * -11206206\nAnswer: -72840339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, -2, -2290\/11, 2\/7, -1394?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 24\/190705 and -93\/7096.\nAnswer: 1525640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -15*(28588\/1190 - 24)\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 48944\/(-1140) + 43 - (-32)\/(-30)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 155.23 + -107.4. What is o rounded to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v = 4*v + d - 14, 0 = -5*v - d - 16. Let h be (4\/v)\/(7\/(588\/(-8))). Let b be 2 - 133\/h*(-4)\/(-5). Which is smaller: b or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.028*4.854815\nAnswer: -0.13593482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -125, -261, -441, -659?\nAnswer: -909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z - 31*z + 214 - 212 + (0 + 0 + 2*z)*(1 + 4 - 4) - 4*z + 0*z - z in the form p*z + u and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**2 + 18*j + 12. Let t(f) = -3*f**2 + 35*f + 15. Let p(i) = -3*t(i) + 5*z(i). What is p(-13)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1015 + -1010. Let c(y) be the third derivative of 0 + 1\/6*y**3 + 7\/60*y**f + 0*y**4 - y**2 + 0*y. Differentiate c(i) with respect to i.\nAnswer: 14*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 684 and 444744?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6608?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from evevveeeveeevevv. What is prob of picking 1 v and 2 e?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7744)\/154 - (-2)\/7. Does p = -50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 6*y**2 - 21*y - 6. Is q(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35874 + -35877. What is the second biggest value in g, -2\/13, 1287?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*f + m = 21*f - 0*f + 15, 0 = 6*f - 5*m + 86 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -20*g + 59. Let m be t(2). Solve -5*k + 11 = -m for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8917299 is divided by 97.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1103406 is divided by 864?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68383 + 68387 - 108*k**2 + 26*k**2.\nAnswer: -82*k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + 48. Let y be g(6). Suppose 0 = s - 5*w - 6, 0*s - s + 6 = -4*w. Let b = y - s. Calculate the highest common factor of b and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*i**2 + 0*i**2 + 0*i**2)*(-7890 + 6434 - 10908) to z*i**2 + k*i + q and give z.\nAnswer: -37092","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 12:58 AM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + n - 2. Let i be p(5). Let y(o) = o**2 - 2*o - 1. Let g be y(-1). Suppose g*j = -2*a + i, -a + 5*a + 5*j = 59. Which is bigger: 12 or a?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8137 - -8157. Solve 5*j + v = 7*w - 2*w, 0 = 5*w - 3*j - 16 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 45.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 326 * 3.\nAnswer: 978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1140293023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3*g**3 + 4*g**2 + 5. Is w(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 1\/38, -0.1, 1 in decreasing order.\nAnswer: 1, 1\/38, -0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1121477621 is divided by 4556?\nAnswer: 4553","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 - 1.8. Let w = g - -5. Which is the closest to w? (a) -0.1 (b) -5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13003098?\nAnswer: 2, 3, 2167183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-78)\/(-15) - 729\/(-405)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1976, -517, 942, 2401, 3860, 5319?\n\"Answer: 1459*z - 3435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1010*u**3 + 759*u**2?\nAnswer: -6060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48312)\/5940 + (-104)\/(-12))*-15?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 9:02 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -720785204 = -42*k - 255005204. Round k to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, e: 4}. What is prob of sequence epp?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 3*t + 173, -3*s + 2*t + 279 = 4*t. Suppose -37 = 3*k - s. Calculate the smallest common multiple of 2 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -6*m + 12. Let q be d(2). Suppose 3 = -3*u - q*u + 4*a, 0 = -4*a + 12. Solve -6*r + r + 6 = -u*v, 3*v + 2*r - 15 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 323, 460, 687, 1004, 1411, 1908?\nAnswer: 2495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-23)\/(161\/35))\/((-1460)\/4)*-2.\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 9*n**2 - 1. Let v(k) = 8*k. Determine q(v(f)).\nAnswer: 576*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 10*f**2 - 11*f - 33. Let v be a(8). Suppose -2*q + v = -q + y, 4*q = 5*y + 37. Let j = -1.2 - -1. Which is smaller: q or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (391\/92)\/(-1 + (-26)\/(-24)). Suppose -275 = -4*p - t. Is p a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -9*t + 23 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 32, 2, 0 in decreasing order.\nAnswer: 32, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - f - 82 = -74, -o = f - 8. Let r(x) = -2*x + 1. Let s be r(-7). Suppose -15 = 3*q + 4*l, l = 3*q + 4*l + s. Sort o, -4, 8, q in decreasing order.\nAnswer: 8, o, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 6*z + 2. Let m be x(-6). Let g(s) = 5*s - 1. Calculate the remainder when g(m) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 858052 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1782743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 9:05 AM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 555 is divided by 21.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -13 times -1695344\nAnswer: 22039472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 35*w**3\/3 + 116*w**2 + 285*w - 50\/3 = 0.\nAnswer: -5, 2\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (486\/(-1944))\/(796\/(-400) + 2)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4 + q + 2 - 9*q**2 - 4 + 3. Let w(r) = -2*r**2 + 0 - 2*r**2 + 2. Let n(a) = -2*o(a) + 5*w(a). Find the second derivative of n(k) wrt k.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, k: 1, p: 2, e: 1, m: 13}. Give prob of sequence mp.\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2750 and 6230.\nAnswer: 1713250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -10264101+7.526\nAnswer: -10264093.474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1213 - 1218. Which is the second biggest value? (a) 26 (b) d (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15.5+0.31\nAnswer: 15.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - 0) + 51\/(-27). Let x(n) = n - 4. Let p be x(4). Which is bigger: u or p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 1560570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.29 + -0.01. Let l = 17 - 15. Which is the third biggest value? (a) 0.2 (b) w (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**4 + q**3 + q + 1. Let z(n) = 25*n**4 - 5*n**3 - 5*n + 45. Let u(l) = 5*r(l) + z(l). Find the first derivative of u(p) wrt p.\nAnswer: 120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + 3*r - 4. Let g be y(4). Let q = g - -13. Solve 2*x - 18 = -4*k, 3*x + 0*k + q*k = 22 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -0.2 (b) 3 (c) 1 (d) 6.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 8 = 5*b + c, 5*c + 29 = 3*b. Suppose 0 = b*g - 138 - 36. List the prime factors of g.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**3 + 15*d**2 + 8*d**2 - 25*d**2 - 3 - d to h*d**2 + l*d**3 + o*d + n and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) -2\/9 (c) -1 (d) -19\/6 (e) 6\/49 (f) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 868317839 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.43 + 3.37. Let i = -42.295 - -46.295. Is i bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -243212035*s - 186219585 wrt s.\nAnswer: -243212035","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1682.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**2 + 192 - 192 - a to the form c + k*a + o*a**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.152488, 0.4, -0.4, 2.3 in increasing order.\nAnswer: -0.4, 0.152488, 0.4, 2.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 56a153 - -6?\nAnswer: 56a159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10\/4453 + 153292\/841617. Let n = -1\/27 + g. What is the closest to -4 in 2\/11, -0.1, n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*g - 17*g + 12*g + 18 - 49*g to p*g + o and give o.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 163250 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19378, -65768, -143082, -251320, -390482?\nAnswer: -560568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-39*a + 2*a**2 - 37*a - 4*a**2)*(7*a**2 - 2*a**2 - 2*a**2) to the form c*a + q*a**4 + l*a**2 + g + t*a**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 19551 divided by 2\nAnswer: 19551\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8334*b + 113849 wrt b?\nAnswer: -8334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (69*q**3 + 2268 - 2268)*(-2*q - 7*q + 7*q)*(1 + 1 - 4).\nAnswer: 276*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (93 - (-10 - -5)) + -1. Let h = v + -231. Let m = 13 - h. Does 12 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 111655493?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (41 + -5 - (-1 + -1)) + 84 + 137 + -230.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q + 3*p = 20*q - 137, -5*p + 25 = 0. What is the greatest common factor of 76 and q?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nyfsw. Give prob of picking 1 y and 1 s.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1194 at least -1195?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 16*p**3 - 2*p - 1. Let z = -38 - -40. Let s be z\/1*(-3)\/6. What is i(s)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10664.4*-1361.\nAnswer: -14514248.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -5573\/641 < -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 11*r + 25. Determine a(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 12 = 4*m + 22, -i = 4*m - 38. What is the highest common divisor of i and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/12*-2)\/((-31)\/(-62)). Sort 5, -42, t, 6.\nAnswer: -42, t, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16454 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-47875)\/195 + 1\/(-3). Let h = f + 246. Let d(z) = -z**2 + 14*z - 11. Let i be d(13). Which is the smallest value? (a) -1\/3 (b) h (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2703, 9361, 20021, 34725, 53515, 76433, 103521, 134821?\n\"Answer: 7*k**3 + 1959*k**2 + 732*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -815\/6048 - 7\/864. Put q, -1\/2, 2\/9, 2.9, -2 in ascending order.\nAnswer: -2, -1\/2, q, 2\/9, 2.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from pppppppppppippppppp.\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(3759\/(-756) - (-10)\/2). Calculate the highest common divisor of i and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -247860 divided by 6\nAnswer: -41310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*35.4078.\nAnswer: 14.16312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*w**2 + 13*w**2 - w**2.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (221\/52)\/(10521\/420 - 25).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -337.7 - -337.52. Which is the closest to 0? (a) j (b) -2\/17 (c) 1\/7 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 44016, 88412, 132808, 177204, 221600, 265996?\n\"Answer: 44396*y - 380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 3*j + 207, 4*c - 5 + 227 = -2*j. Is 12 a factor of (c + 6)\/(-8) - -222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -12. Suppose 0*g = 5*r + g + 19, -4*r - 28 = 4*g. Let a = 17 - r. What is the smallest common multiple of a and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 5:41 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22864? (a) -2 (b) -2\/5 (c) 4 (d) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 4*n**3 + 2*n**2 + 1. Let v be s(3). Let m = -98 + -398. Let x = v - m. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 148*l*p**3*w - 729*l*w**3 - 4*l*w**2 - 2*l*w - 11250*p**3*w**3 - p*w**2 - 569*p wrt w?\nAnswer: -4374*l - 67500*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (16 - 4)*-3*1\/(-6). Suppose -21*c = f*c - 8046. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52319*u = 52524*u - 10455 for u.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1841*v + 1843*v. Sort -14, v, -3, -6 in decreasing order.\nAnswer: v, -3, -6, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 6*o - 2. Let y be (-1)\/((-7)\/(-6) - 1). Let i be (y\/6)\/((-2)\/8). Calculate the remainder when t(i) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -2261\/12403?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 108 and 4752?\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*r = -2*s + 1590, -r - 1590 = -3*s. Suppose -s = -5*j + 220. Suppose -2*g = 40 - j. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m*m**(-1\/8))\/m)\/(m\/m**(-3)))**22*m*m\/(m*m**0)*m*m**1*m*m**(-2)\/m**(-1) assuming m is positive.\nAnswer: m**(-263\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 27538860 divided by 6\nAnswer: 4589810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 1 = -10, 2*d - 2*f - 26 = 0. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/4, -1, -724, 4\/9, 3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 3.11. Let t = g - -0.01. Let y = 529\/143 - 39\/11. Sort -2, y, t in ascending order.\nAnswer: -2, t, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 2920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3 = -y. Let a be 4\/(-1 + 3) + (-6)\/2. Let w be ((-28)\/(-44) + a)*-1. Is w greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -22607*v + 22604*v + 0*v**3 - 9*v**2 - 2*v**3. What is c(-5)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 6:05 AM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8793935?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 6*m**2 + 2*m + 3. Let t be s(5). Let w be 4\/(-6) + (-56)\/t. Find b, given that 6*b**4 + b**w - 2*b**4 + 2*b**3 = 0.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**3 + k**3 - 2*k**3)*(39824*k + 4 - 47172*k - 2).\nAnswer: 22044*k**4 - 6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1003*z**2 - 2*z + 1699.\nAnswer: -2006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 504005363.\nAnswer: 61, 8262383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7921963 or -0.1?\nAnswer: 7921963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -19. Let s = 852 - 851.93. What is the closest to q in 4, -5, s, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2243, 380 in decreasing order.\nAnswer: 380, 1, -2243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -f**6\/4 + 27*f**5\/10 - 9*f**4 + 8*f**3 + 413. Factor v(u).\nAnswer: -3*u**2*(u - 4)**2*(u - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -9*o - 8 - 6*o + 9*o. Let v(b) = -4*b - 5. Determine -5*j(t) + 8*v(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 + -12. Suppose -l + 16 = 5*v. Suppose 2*n + 2 = 12. What is the remainder when n is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4\/35 - -89\/140. Let z be (-6)\/((-9)\/(-3)) - (-2)\/(-9). Let v = -118\/45 - z. Which is the second biggest value? (a) l (b) -4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 2*j = -45, 3*j + 456 = 5*g + 386 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 4:36 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1140612223 - 2?\nAnswer: -1140612225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10a499 (base 11) to base 16.\nAnswer: -2ab69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*g + 2232 - 232. What is g rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -14*g**6\/3 + g**3 + 13*g**2\/2 + 19. What is the third derivative of o(p) wrt p?\nAnswer: -1680*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 95790859 + -95790850.0000014. Let b = u - 9. What is b rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*i - 1196 = -60*i - 60*i for i.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**3 - 21*x**2 + 11*x - 14. Let g be s(15). What are the prime factors of (1 - g\/(-28)) + (-8)\/(-28)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j. Let n(x) = 5*x + 4. Let o(c) = 6 - 11 + 3*c + 7 + 1. Let f(d) = -2*n(d) + 3*o(d). What is q(f(v))?\nAnswer: -2*v + 2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**3 - 4*l**2 + l - 1. Let n be t(3). Suppose 2*x - 4*x = -o + n, 3*x + o = -30. Let d = 17 + x. Solve 0 = 5*f + 8 + d for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kggnpgogygg. What is prob of sequence ykgg?\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of -28*d**3 + 1827. Let f(o) = 102*o. Calculate f(m(s)).\nAnswer: -8568*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-1)*c)**(-21\/8)\/((c**2*c*c)\/c**(1\/5)))**10 assuming c is positive.\nAnswer: c**(-467\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 329234018 less than -0.3170535?\nAnswer: -329234018.3170535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from -4188.15.\nAnswer: -4188.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -283924 < -283923?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2815375 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/(c*c**(1\/2)))\/c)\/c)\/(c*c*(c**(1\/9)*c)\/c)*((c**(2\/49)\/c)\/c)\/((c\/c**(-3\/8))\/c))**(-1\/23) assuming c is positive.\nAnswer: c**(24503\/81144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2978 - -2978.02. What is the third biggest value in 0.5, d, 4, -0.7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 191322, 382637, 573942, 765231, 956498, 1147737?\nAnswer: 1338942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 12:57 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 9 = -f. Let b be 0 - (f + 5 + 788). What is the units digit of 8\/(-16)*b\/(1 + 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8911, -35630, -80165, -142516, -222683, -320666, -436465?\nAnswer: -570080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 2*x**3\/7 + 124*x**2\/7 + 1880*x\/7 + 1200 = 0.\nAnswer: -42, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 233311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 11*m**3 + 8 - m**2 - 16*m**2.\nAnswer: -11*m**3 - 17*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 3\/113876?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**(-1\/8)*y)\/(y**(-24)*y))**(-34))**0)**(-19\/4) assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 4*o - 4. Calculate the lowest common multiple of (-4)\/10 + (-510)\/(-25) and a(3).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.124? (a) 2 (b) -2\/9 (c) 3 (d) 2\/11 (e) -2939\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2 - 6 = -2*f, r = -2*f - 4. List the prime factors of ((-1345)\/10)\/(2\/f).\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 2*c + 30 = 0. Let k be c\/(-4)*16\/(-6). Suppose 94 - 16 = 6*q. Solve -4*w + 9*w - s - q = 0, k*s + 1 = 3*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 8:52 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 6\/(-4) - 4158\/(-84)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/7 in -0.2, -14, 0.4, -1, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 14, -0.079, 5, -0.128, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 20 - (3 - (4 - 4)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 4*c = -7*c. Suppose 2*q + 5*h - 40 = c, -q = -5*q + h + 124. What is the highest common divisor of q and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - i = 2*t - 2, 15 = -3*t. Suppose 61 = 3*s + i. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 0.00943\nAnswer: -0.00943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 52*x**2*y - 2*x**2 + x*y + 108*x wrt x.\nAnswer: 104*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7031*o**2 - 5*o - 14*o**3 + 7031*o**2 - 10 wrt o.\nAnswer: -84*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 - -23. Which is the closest to 0.08? (a) 1\/10 (b) d (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8.1 (b) -0.544 (c) 0.2 (d) -4\/7 (e) -3\/2 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, 55, -3, 8783 in decreasing order.\nAnswer: 8783, 55, 30, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3951582464.\nAnswer: 2, 15435869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 12302200 (base 4) to base 14\nAnswer: a1c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129*t + 45*t**3 - 130*t + 157*t**3 + 5*t**2 - 5*t**2.\nAnswer: 202*t**3 - t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1176 in 4\/9, -162, 2?\nAnswer: -162","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/((-1386)\/(-55)) + 179\/(-48) and -31\/120.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2060 is divided by 43.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k + 5*k**2 - 2*k**4 + 7 + 2*k - 3*k**2 as w*k + g*k**3 + u + b*k**2 + v*k**4 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than 502010805?\nAnswer: 502010804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**3 + n**3 + n**3)*(1 - 1 + n**2) + (2*n**2 - n**2 + n**2)*(8*n**3 + 8*n**3 - n**3 + 2*n**2).\nAnswer: 31*n**5 + 4*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2135*u**3 - 353*u**3 - 306*u - 308*u + 614*u.\nAnswer: -2488*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -114683091 greater than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 7:32 AM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, 123, 196, 287, 402?\nAnswer: 547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 308 or 312?\nAnswer: 308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 8, -6 in ascending order.\nAnswer: -6, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**3 - 31527*q**2 + 441646*q + 2270952 = 0.\nAnswer: -31541, -4, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-27)*3 - 1001797\/9. Let b = 213311 + i. What is b rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -6*m - 124. Suppose 214*j = 213*j - 60. Let a = m - j. What are the prime factors of a?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15913?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 118564, 118890, 119216, 119542?\n\"Answer: 326*o + 118238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 381 (base 9) in base 4?\nAnswer: 10330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-15)\/(-50))\/(((-6)\/12)\/(-2 - -5)). Let t = -12 + 15.4. Which is greater: f or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 603.\nAnswer: 614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3554701 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 130*d = -540, 0*d - 2 - 17 = 4*v - 4*d + 7 + 10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - x**2 - 5*x - 12. List the prime factors of h(5).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0829 - -268?\nAnswer: 267.9171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (-11 + 14 - -6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {e: 5, k: 4, u: 2, f: 1, y: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44039?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vu when two letters picked without replacement from bjvjjuvuubjbvbv?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(-10)*(-6 + 4). Let c be 9*12\/162 + q\/6. Factor -c*l**2 - 1\/4 + 3\/4*l.\nAnswer: -(l - 1)*(2*l - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24186 times 0.2?\nAnswer: 4837.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49 + -52. Let f be (-8)\/(128\/(-60)) + n\/(-12). Suppose -5*x = f*a - 103, 0 = -a - 2*a - 2*x + 79. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 46 = 5*r, 0*r - 3*h + 2 = r. What is the greatest common divisor of r and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of m**5\/20 + m**4\/4 - 7*m**3\/6 + 7*m**2 - 264*m + 2. Determine n(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 8:46 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*v - 2*v**2 - 2*v + 7*v - 4*v**3 to the form b*v**2 + q*v**3 + d + w*v and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3a6 + -859?\nAnswer: -c32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 136 + 18. Suppose -5*j = 6*j - q. Differentiate -11 - 24 - 11*f + j wrt f.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 215 divided by -5.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*h**2 + h**2 + 3*h**2)*(5 - 3 + 1)*(3 - 5 + 0) + 6*h**2 + 2*h**2 - h**2 in the form v*h + j + q*h**2 and give q.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.316 * 5.\nAnswer: 51.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 - (2 + -2 - ((-11 - 17) + 25)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -3*t - 105, 0 = 5*i + 3*t - 67 - 206. Suppose b + 2*o = i, -2*b + 84 - 6 = -2*o. Let j = -14 + b. What are the prime factors of j?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -233744?\nAnswer: 233739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -849*y + 843*y + 48. Let g = 57 - -19. Suppose 0 = -4*r + 4*j + g, -3*r + 2*j = -0*j - 52. Calculate the remainder when r is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b. Suppose g = -2*f - 2*f, 4*g = 3*f + 19. Let s(o) be the third derivative of -1\/8*o**g + 0 - o**2 + 0*o**3 + 0*o. Determine s(a(t)).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*b - 33*b + 1554. Is 24 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -1 + 1 + (-4 - 8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) 2 (c) 1\/6 (d) -7 (e) 7 (f) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 113, -3, 2198, 7.\nAnswer: -3, 4, 7, 113, 2198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (91\/234)\/((-47)\/846)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 13 = 5*p. Let b(a) = 2*a**3 + a**2 + a - 1. Calculate b(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -587*n + 598*n + 16 = -17. Put -5, -186, n, 5 in descending order.\nAnswer: 5, n, -5, -186","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 139\nAnswer: -13.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 136465125*j**2 + 1184*j - 57953 wrt j.\nAnswer: 272930250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 266, 1071, 2410, 4283?\nAnswer: 6690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 10*l**2 + 10*l - 23. Let f(k) = k + 2. Let v be f(8). Let t be i(v). Calculate the greatest common divisor of 7 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -13. Differentiate 4*j**3 + 0*j**3 - 28*j**t + 13 with respect to j.\nAnswer: -72*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31103 (base 13) to base 3\nAnswer: 11110210012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -18\/913?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.5 - -0.5. Let h = 9.9 + -9.946. Let r = h - -4.046. Which is the second biggest value? (a) 0.5 (b) r (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11.392 + -11.892. What is the closest to -436 in 0.3, l, 1, 2\/9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0772 + 359.0772. Let q = -358.87 + s. Sort q, 1\/5, -2\/9, -0.3 in decreasing order.\nAnswer: 1\/5, q, -2\/9, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134 (base 8) in base 12?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103471.\nAnswer: 103471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 - 2 - (-3 - -4). What is the remainder when ((-72)\/(-42))\/(y\/7) is divided by (1 + -1 + -3)\/(6\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.05 - -0.05. Let j = 0.11 + -0.01. Let p = 0 - j. Sort -1, c, p.\nAnswer: c, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13333 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5*p - 9 = -3*w, -w + 3 = 3*p. Let i(g) = -g**3 + 9*g**2 - 2. Suppose -4*m + 68 = 4. What is the smallest common multiple of i(w) and m?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5912*d - 5910*d - 2*f - 20 = 0, 5*d + 3*f + 14 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 3*n = 555, -2*k + 5*n + 335 = -0*n. Is k a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3*h - 23 = -7, 3*i + 4*h = 12. Suppose b - 75 = -2*a + i*b, 4*a = -2*b + 126. What is the units digit of (-1)\/((9\/a)\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-5)*n*n\/((n\/(n\/((n\/n**(-28\/3))\/n))*n)\/n)*n\/(n\/n**13)*n*n*n**18*n assuming n is positive.\nAnswer: n**(65\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58376.87 micrograms to grams.\nAnswer: 0.05837687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38.09746km to centimeters.\nAnswer: 3809746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -2*j - 2, -82*j + 88*j - 14 = k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -7349531 divided by -251\nAnswer: 29281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 0 - 9 + 15 + 1 + 3*y.\nAnswer: 3*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 6:29 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1486 a factor of 1971961067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of v**3\/12 - 15*v**2\/8 + 27*v\/2 + 298. Factor o(z).\nAnswer: (z - 9)*(z - 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g**2 + 0*g**2 - g**2)*(-4*g**2 - g**2 + 3*g**2) + 2*g**4 - 1 + 1 + g**4 - 5*g**4 + 0*g**4 to the form b*g**3 + h*g**2 + j*g**4 + r*g + x and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hn when two letters picked without replacement from gnhhzangddgadn.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a millennium?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -24. Suppose -b + m - 8 = 0. Suppose -b*f - 4 = -37. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -4. Let l(j) = 4*j**2 + 0 + 3*j**2 - j**3 + d. Let q be l(7). Solve -q*v + 2 + 6 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 467927.\nAnswer: 467927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11394732 and 367572?\nAnswer: 11394732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 585 and 150?\nAnswer: 5850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3d (base 14) to base 15\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 948 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-243)\/(-54)*4028\/3 - -2 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 9) in base 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, -0.2, 0.057, -0.5, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 2*p - 0*p + 26, 0 = -5*t + p + 17. Suppose 0 = -t*y + 14 + 18. What is the highest common factor of y and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5*sqrt(35)\/sqrt(5) + 0.\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/(-60))\/((-2)\/(-5))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12297155?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f**(-1\/6)\/f))\/f**(1\/8)*(f**(-11\/3)*f)\/(f*f*f*f*f**(-3\/4)))**22 assuming f is positive.\nAnswer: f**(-429\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 - 23. Let t(f) = 14*f. Let c be t(u). What is the highest common divisor of 14 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2711 and -2902 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 939763599?\nAnswer: 3, 83, 977, 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 1:38 PM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 850 is divided by 112?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(1\/8*(-80)\/(-30)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 13131276, 26262546, 39393816, 52525086?\n\"Answer: 13131270*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 86.4827641 to three decimal places.\nAnswer: 86.483","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.4 and -118.8?\nAnswer: 403.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - t - 3. Let q be r(3). Factor 6*h**2 + h**3 + 6*h + h**q + 3 - 1.\nAnswer: 2*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10443075*w + 10443087*w - 216 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Solve -336*b = 2436*b + 5204 - 46784 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 198*q + 25. Let t(u) = -100*u - 12. Calculate -7*t(p) - 3*x(p).\nAnswer: 106*p + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*f + 34 = -0*u, 38 = u + 4*f. List the prime factors of u.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.131 + -2.869. Are 14.6 and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a gram in milligrams?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z + 318 - 318 - 138*z**3)*(-12*z - z + 6*z) to the form q*z + w*z**2 + c*z**4 + v*z**3 + x and give w.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1117848 is divided by 359.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + ((-2)\/2)\/((70\/315)\/(104\/18))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344849 to the power of 1\/3, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*b = -36*b - 36*o + 20, -2*b + 5*b - 25 = -2*b - 2*o for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/(-28)*826\/(-7670)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 - 34 - (-7 - (0 + -1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4*l**2 + 3*l - 4. Let w be h(1). Let x be (2 - 5\/w)*30. Put 0, -1, x, 3 in increasing order.\nAnswer: -1, 0, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -9*i - 11. Let d(m) = 17*m + 23. What is 5*b(c) + 2*d(c)?\nAnswer: -11*c - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g + 4*g - 2*g)*(-2 + 5 + 3)*(-2566*g + 375*g + 1246*g) as k*g + i + n*g**2 and give n.\nAnswer: -11340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-1*sqrt(242) + 2)**2 + (sqrt(242) + 0)*-2 + sqrt(242) + 3)*1*-5.\nAnswer: -19395 - 825*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is 15082075 to the power of 1\/2, to the nearest integer?\nAnswer: 3884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6699.62 centuries to decades.\nAnswer: 66996.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wmd when three letters picked without replacement from {w: 3, m: 2, s: 2, d: 6}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*4\/32*(-64)\/(-84)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-4*sqrt(1216)*-1*-3 - (sqrt(19)*-2 + 4 - sqrt(19) - (sqrt(19) - (sqrt(76) + sqrt(76)*-1)\/sqrt(4)))))**2.\nAnswer: 368*sqrt(19) + 160820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 96 + -91. Factor -30*o - 6*o**3 + 16*o + 8*o**2 + 11*o + o**s.\nAnswer: o*(o - 1)**3*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1708 + 1778. Is u a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, t: 2, l: 3, h: 3, n: 1, o: 3}. Give prob of sequence eh.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1868851573 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16443*p**2 - 7402*p**5 - 5293*p**5 + 1351*p**5 + 3736*p**2 wrt p.\nAnswer: -680640*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11133202 (base 4) to base 3.\nAnswer: 1010212021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 173810 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5232730329?\nAnswer: 3, 41, 43, 36643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -21*g + 16. Let w be q(-19). Suppose -w - 97 = -8*l. Calculate the remainder when l is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37228908911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 423, 344, 215, 36, -193, -472?\nAnswer: -801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -5*p + 29, -12 = -4*p - 2*q - 0. Let b = 8 - 6. Suppose 2*r = -b*d - 4, -3*d + 11 = -3*r - 7. Solve 0 = -d*z - 5 - p for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 AM and 12:42 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = 18*w + 5 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4*j = 3*a - 42445, -5*j = -5*a + 42440. List the prime factors of a.\nAnswer: 3, 19, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -256 - 316 = 286*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1351084 to the nearest integer?\nAnswer: 1162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2972*h**2 - 36*h.\nAnswer: -4*h*(743*h + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 8 = 0, 22*s + 25 = 21*s + 4*t for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2884?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 2:50 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 a factor of 74473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 5\/34279?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -63\/100 - -3\/100. Let f(b) = -b**3 - 5*b**2 + 66*b. Let l be f(0). Which is smaller: l or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 605 divide 1994621907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1460, 5, -4, -12, 3 in decreasing order.\nAnswer: 5, 3, -4, -5, -12, -1460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9063246.14499494 + 9063852.145. Let x = -604.883 - 1.117. Let g = x + m. Round g to 7 decimal places.\nAnswer: 0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lktktltktttt. Give prob of picking 2 t.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 115\/9. Sort -2, 1\/7, c, -3 in decreasing order.\nAnswer: c, 1\/7, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26567317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -4*i**2 + 5*i - 2. Let l be z(4). Let b = l - -38. Let u = -3 - b. Sort u, -1\/6, -5\/4, 2\/13 in descending order.\nAnswer: u, 2\/13, -1\/6, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3526239?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1059846515?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4b6 - 2c?\nAnswer: 48a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q*q*q*q**25*q)\/q*q))\/q)**(-1\/67) assuming q is positive.\nAnswer: q**(29\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2403?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 15, -39, 4, -132 in increasing order.\nAnswer: -132, -39, 0, 2, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13955 + 3521 = 6*y. Is y greater than -1740?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**3 - 82*f**2 - 680*f - 600 = 0 for f.\nAnswer: -30, -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 103 + 8. Suppose -5*s + 83 = -4*v - 10, 0 = -5*s - 2*v + f. What are the prime factors of s?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6046614 is divided by 3085?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-2)\/6 + (-76)\/(-57)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + y + 30. What are the prime factors of s(13)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**2 - 4*g + g - g. Suppose 0 = 5*s - 58*a + 59*a - 14, 0 = 2*s - 4*a + 12. Let h(m) = 3 - 77*m**s + 39*m**2 + 36*m**2 - 3. Calculate i(h(o)).\nAnswer: -8*o**4 + 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 2 = -3*f, -76*a + 74*a + 2*f - 6 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*g - 9*g + 460 = -140 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.04 (b) -0.5 (c) 8 (d) 661 (e) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(0 - (-1 + 3)). Let v(b) = 21*b**2 + 9. Let d(k) = 5*k**2 + 2. Determine w*v(l) + 9*d(l).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -100000 (base 2) in base 13?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 10 = 2*w + 2*x, 5*x = 5*w - 35. Suppose -251 = w*i - 607. Is 18 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence if when two letters picked without replacement from {i: 2, f: 18}.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 479, 492, 467, 368, 159, -196?\n\"Answer: -6*b**3 + 17*b**2 + 4*b + 464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-6)*1880\/564?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/451101050?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*j**6 - 10*j**5 - 2*j**3 - 3*j**2 - 961?\nAnswer: -1440*j**3 - 600*j**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of 2\/5*u**3 + 39\/100*u**5 + 3\/5*u**4 + 0*u**2 + 3\/25*u**6 + 5*u + 0 + 1\/70*u**7. Find b such that h(b) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-5)*h)\/h**(-1\/12))\/((h\/(h*h**6))\/(h*h**(-8))) assuming h is positive.\nAnswer: h**(-47\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*q + 889 - 1958 = -6165 for q.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -725745 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -9*u**2. Let q(w) = -28*w**2 - 2. What is h(q(x))?\nAnswer: -7056*x**4 - 1008*x**2 - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 4*s - 4, -20 = -2*t + 3*t + 4*s. Suppose -a + 4 = 0, -2*j + 5*a = j - 127. What is the remainder when j is divided by (-103)\/(-6) + t\/24?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 301131332130 (base 4) in base 16?\nAnswer: c5df9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86113?\nAnswer: 86113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1662.1762 + 1279?\nAnswer: -383.1762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**3 + 3600*i**2 - 1080000*i = 0. Calculate i.\nAnswer: 0, 600","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161670 is divided by 986.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -24571 minus 0.07?\nAnswer: -24571.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/308 and -33\/35.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156 = -7*t + 11*t. Let w = t - -45. What is the greatest common divisor of 48 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 212122 (base 3) to base 4\nAnswer: 21332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*m + 5 = 0. Let j = 1 - m. What is the first derivative of -1 - 3 + 6 - 2*p**j wrt p?\nAnswer: -4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - -19. Suppose -z = -6 + 26. Let f = c + z. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 135170081*q**2 + q - 752554852?\nAnswer: 270340162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(-2 + -2)\/(-16). Let i(c) be the first derivative of 1\/9*c**6 + 1 + k*c**4 + 2\/9*c**3 + 0*c + 0*c**2 + 2\/5*c**5. Factor i(r).\nAnswer: 2*r**2*(r + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*y - 18 = 5*n, 17*n - 20*n - 2*y = -38 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 370 and 25?\nAnswer: 1850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.073 - 0.073. Let x be 69\/21 - (-8)\/(-28). Which is the smallest value? (a) m (b) 0.4 (c) x (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -18*g**2 + 36*g - 328. What is d(8)?\nAnswer: -1192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p**3 - 14*p + 48*p**3 - 47*p**3 + 2*p**2 to the form k + a*p**3 + j*p**2 + o*p and give o.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 14716, 14722, 14732, 14746, 14764, 14786, 14812?\n\"Answer: 2*f**2 + 14714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 134274 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 12:06 PM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 17*c = 21*c + 717, -4*a = -c - 969. Let d = 376 - a. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 399 and 285?\nAnswer: 1995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*n - 243 - 29 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -43*(0\/2 + 1). Let o(c) = -9*c**2 - 2*c + 2. Let m be o(-3). Let x = r - m. Is x a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 13*d**2 - 7*d + 20. Let k be a(-6). Let o = k - 132. Is 13 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 24 = -c. Let k(w) = -2*w. Let r be k(c). Suppose r - 57 = -3*b. Is 4 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-4)*(13 + 11). Suppose -3*x = -0*x - u. Find the third derivative of 3*c**2 - 3*c**2 + c**2 - x*c**4 wrt c.\nAnswer: -96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 4*g**2 + 137*g + 1381. Is t(-62) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -44 and -8.3528.\nAnswer: -52.3528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -3*m**3 + 15*m**2 + 234*m + 216 = 0.\nAnswer: -6, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2 = 6. Let b be a\/2 + (-4 - -1). Is -6 >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 28 + 0 = 0. Suppose -p*o = -2*q - 5*o + 176, 0 = -4*q - o + 356. Suppose 6*x + 3*c - 150 = x, -c - q = -3*x. What are the prime factors of x?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + j + 3 - 3)*(-6 + 2 + 2 + (-1 + 1 - 2)*(0 + 0 - 3))*(2 + 1 + 0) as v*j + k and give k.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q**2 - 2*q - 3. Let k(d) = -40*d**2 + 6*d + 14. Calculate 2*k(w) + 6*o(w).\nAnswer: -98*w**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -5*k. Let w(a) = -6*a**2 - 9. Give w(n(u)).\nAnswer: -150*u**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c - 2 = -3*c + 2*i, 5*c + 5120*i - 5117*i = -5 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -353*v**5\/5 + 47*v**3\/3 - 148. Find the third derivative of j(b) wrt b.\nAnswer: -8472*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - v. Let d(i) = -7*i**2 + 2*i - 16. Let c(z) = d(z) - 6*w(z). Solve c(b) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from woonnonn. Give prob of picking 1 n, 2 o, and 1 w.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 - 30. Solve 0 = -m*o - 8 - 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/20*100\/(-24)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37*b**2 - 9*b**3 - 37*b**2 + (0*b**3 + 4*b**3 - 2*b**3)*(3 - 1 + 3) - 4*b**3 + 12*b**3 + 8*b**3.\nAnswer: 17*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 106170 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 * -8776768.3.\nAnswer: 70214146.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 2:45 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12.5 + -9.5. Sort s, 0, 2\/7, -0.4.\nAnswer: -0.4, 0, 2\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - y)*(3 + 1 - 1) + 3*y + y - 5*y + (2 + 1 - 2)*(2*y - y - 3*y) + (-28 - y + 3*y + 34)*(1 - 4 + 0).\nAnswer: -12*y - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/20898 and -9\/4214.\nAnswer: 1024002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 642318?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5008 bigger than 5157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*q**5 - 5*q**5 + 0*q**5 + (4*q**4 - q**4 - q**4)*(-1 - 2*q + 1) - 2*q + 4 - 2 + 6904*q**5 - 7006*q**5.\nAnswer: -127*q**5 - 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 5*o + o**2 + 5*o)*(37*o**3 + 91*o**3 + 51*o**3).\nAnswer: 179*o**5 + 179*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -14.02\nAnswer: 1.402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 27*h + 73 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 157 = -b, 55*x + 12 = 58*x. Let r = -139 + b. Let t(l) = -2*l**3 + 2*l**2 + 3*l + 3. Calculate t(r).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 12) to base 3.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4599.218 micrograms to kilograms.\nAnswer: 0.000004599218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 396054 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -275 + -0.1451?\nAnswer: -275.1451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12535296 is divided by 1899?\nAnswer: 1896","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - 1 - (-6 + 1). Let w(s) = -96*s + 32. Let a(l) = 10*l - 1. Let j(b) = 10*a(b) + w(b). What is the units digit of j(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26325 is divided by 49.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -20. Let b = 18 - w. Let z be (b - 3)\/(2\/4). Solve 0 = -u + 2*i + 1, -12 = -z*u - 0*u - i for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 808409 (base 12) in base 6?\nAnswer: 110550413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 12*w**3 + w**2 - w + 1. Calculate the remainder when 54\/45 - (-184)\/5 is divided by m(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 665280 and 176.\nAnswer: 665280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*p + 32 + 228. Calculate the remainder when 933 is divided by p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8046 and 378.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*g = 11*g + 15*g + 390 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a century in years?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 75 - 30. Suppose -7 = 3*g - 19. Suppose 3*j = x + 7*j - 38, g*j = 4*x - 52. 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 c(q) be the first derivative of -3\/4*q**4 - 21\/4*q**2 - 13 - 3*q - 7\/2*q**3. Factor c(k).\nAnswer: -3*(k + 1)*(k + 2)*(2*k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30791 divided by 6630?\nAnswer: 30791\/6630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n**3 + 3*n**3 - n**3.\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**2 + 1001*r. Let x(o) = 6*o**2 + 1188*o + 27. Let d(y) = y**2 + 176*y + 4. Let f(w) = 27*d(w) - 4*x(w). Calculate m(f(a)).\nAnswer: 18*a**4 + 3003*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8*714\/(-272)*(-1)\/6*2. Let w(s) = 23*s - 3. Let b(p) = -11*p + 1. Give a*b(g) + 3*w(g).\nAnswer: -8*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f - 757 = -j + 12*f, -5*j = 5*f - 3815. Is j a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from ieeeiieiieee.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 - -14 - -45 - -12?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/10 + (-430)\/(-25). Let i(b) = 2*b**2 - 33*b - 10. What are the prime factors of i(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 511 and 49468377.\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n + 19. Let k be u(-7). Let g be 18\/4 + (-1)\/(-2). Solve 4*h = g*r - 3, -4*r + k*h = 1 + 2 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z\/(z**(-7)\/z*z)))\/z)\/z)\/z**(-5)*(z\/(z\/(z\/(z\/z**(1\/3))))*z)**25 assuming z is positive.\nAnswer: z**(88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -1, 4, 0.2 in descending order.\nAnswer: 4, 0.2, -1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2486.2 - -2486. Sort 0.09, z, 1\/5, 4 in descending order.\nAnswer: 4, 1\/5, 0.09, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 97911 and 21414.\nAnswer: 16253226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**4 - 444*n**3 + 253467*n**2 - 1508706*n + 2256984 = 0. Calculate n.\nAnswer: -774, 3, 324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 525 and 180335.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84 - 87 - (3 + -37).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.03 - -6.03. Sort 2\/17, f, -0.2, 8 in decreasing order.\nAnswer: 8, f, 2\/17, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of -49*j**4\/24 + 3*j**3\/2 - 4*j**2. Let k be f(-7). Let s = k - 842. Round s to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d + 3. Let i(c) = 3*c - 6. What is -3*i(k) - 5*y(k)?\nAnswer: -4*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 9*t. Let o(b) = 4*b. Let l(g) = 5*o(g) - 2*p(g). Let r(s) = -64*s**2 + 1. Let c(f) = -43*f**2 + 1. Let i(h) = -7*c(h) + 5*r(h). Give i(l(v)).\nAnswer: -76*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 137 = -377. Is 60 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 7. Suppose -4*i + 635 = i. Suppose -d*g + i = -368. What is the highest common divisor of 9 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1931 - 1305. Let w = b + 243. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.8, 0.022574, 0.052?\nAnswer: 0.022574","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 21918 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 22*o - 10*o. Suppose -q = o, -c + 4*q = -3 - 13. What is the lowest common multiple of c and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -7*t - 441. Let m be q(-63). Sort 5, 11, m.\nAnswer: m, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2708 - 912. List the prime factors of y.\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79330969 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - (-9)\/12)\/1. Let f = -9.09 + 0.09. Let h = f - -4. What is the second smallest value in h, -4, y?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24389.5 + 24390. Which is the smallest value? (a) 0.8 (b) -0.2 (c) 137 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6*-3*5\/30. Let l be (0 + 0)*(-1)\/d. Suppose 0 = -l*i - i + 2. Solve 0 = -3*u - 3*z + 18, i*u = -3*u + z for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 807 and 48?\nAnswer: 12912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6070682 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**5 + 64*z**4 - 358*z**3 + 176*z**2 + 600*z = 0.\nAnswer: -1, 0, 2, 6, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 11)\/(-2 - 0). Suppose -3*k = k - c*a - 29, -5*k + 5*a + 40 = 0. Is 4 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express n - 728*n**4 + 4 + 63*n**3 - 755*n**4 + 1485*n**4 in the form u + b*n**4 + v*n**3 + y*n**2 + m*n and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 75.57528l?\nAnswer: 75575.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6\/61 (b) -0.58 (c) 2\/3 (d) -6 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j**5 + 14878*j**4 + 101*j**3 + 153*j**2 + j + 57318.\nAnswer: -120*j**2 + 357072*j + 606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 788*x - 3938. Let g be l(5). Let r(i) be the second derivative of 0 + 0*i**g + 0*i**3 + 1\/6*i**4 - 1\/60*i**5 - 43*i. Factor r(c).\nAnswer: -c**2*(c - 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75199 and 417.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/182 and -99\/2?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 256 + -256.0000115. Round m to six dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315762 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 699, 883, 1177, 1569, 2047, 2599, 3213?\nAnswer: 3877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 254 - 143. Suppose -3*w - 35 = -h - s, -4*h = -2*w + 54. Suppose -w = -3*j + 47. Is j a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(33)\/(sqrt(22)\/sqrt(2)) + (sqrt(18)*1)\/sqrt(6) + -2).\nAnswer: -12*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -25*i - 563. Determine m(-4).\nAnswer: -463","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2840484, 5, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -514 - 350 - m - 514 + 1378.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from raaaearr. What is prob of picking 3 r?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 627 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1743*m**3 - 1985 wrt m?\nAnswer: -5229*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 2:47 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -6*j**3 - 5*j**2 - 5*j + 5. Let y(i) be the first derivative of -i**3\/3 - i**2\/2 + 6075. Give t(k) - 5*y(k).\nAnswer: -6*k**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0*-354\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -12*(-1)\/(9*(-9)\/54)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 8 = 64. Does 12 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142665 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 134230 (base 5) in base 11?\nAnswer: 41aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, r: 2, t: 2}. What is prob of picking 1 g and 1 t?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 7:27 PM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -5*n**2 + 2236*n - 2676 = 0.\nAnswer: 6\/5, 446","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41 - -75. Let c(i) = p*i - 60*i + 43*i. Let u(g) = -g**2. Calculate c(u(w)).\nAnswer: -17*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/3)\/((-3)\/153). Round u to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of -n**4\/4 - 14*n**3\/3 - 6*n**2 + n + 382. What is x(-13)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.9656581 centuries?\nAnswer: 0.09656581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -376.9\nAnswer: 188.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 130 + -126. Factor 2*b**x + 0*b**4 + 259*b**3 - 257*b**3.\nAnswer: 2*b**3*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*d**3 - 6208*d**2 - 800828*d + 536648.\nAnswer: -4*(d + 259)**2*(3*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 1:22 AM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/15 in -0.3, -4, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zcta when four letters picked without replacement from ttcktttgggazc.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 264 and 24680.\nAnswer: 814440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 3189787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1549 and 0.9833.\nAnswer: 0.15231317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + 0 + 1)*10827306\/252 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 961*d - 5593*d - 65177 - 53079 = 48496 for d.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 6*g**2 + 12*g + 2. Is 23 a factor of i(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {n: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of 0*d**5 + 0*d**7 + 1\/6*d**4 + 0*d**2 + 0*d**3 + 0*d**6 + 5\/56*d**8 + 0 - 6*d. What is the third derivative of o(g) wrt g?\nAnswer: 600*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 4676?\nAnswer: -14028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 55?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 2*h - 111076, 34*t - 29*t = -5*h + 277670. What is the thousands digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1522 - -13712\/9. Let r = -8.304 - -9.304. Which is the third biggest value? (a) -2\/9 (b) t (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6886 and 1874870?\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 9*t**2 + 13*t. Let k(a) = -5*a**2 - 7*a. Let m(j) = 9*j**3 + 2*j**2 - j. Let q be m(1). Let y(c) = q*k(c) + 6*l(c). Determine g, given that y(g) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 613 is divided by 532.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14639\/18 - 814. Let u be ((-12)\/(-4))\/(-12)*-2. Let s = t + u. Put -2\/15, 1\/5, s in ascending order.\nAnswer: s, -2\/15, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41488008 to the nearest integer?\nAnswer: 6441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -53, -4, -3.\nAnswer: -53, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - h + 68, 5*p = 5*h - 2*h + 56. Let o = 2 - -1. Let u = p - o. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-99 - (2 + -4))) + -25982 + 25970?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2732, -5, -2\/9, 2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**3*p**3*v - 5*g**3*p**2*v**2 + 5*g**3*p**2 - 2*g**2*p*v**3 - 4*g*p**3 - 17*p**3*v**3 wrt p?\nAnswer: -6*g**3*v - 24*g - 102*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 431334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9491*g + 240 - 35 - 205 to f + n*g and give n.\nAnswer: -9491","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -14*g - 675. Suppose 5*d - 7 = 43. Let q be 4\/18 + d\/g. Which is the biggest value? (a) q (b) 5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3277358?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*u + 680886 - 680598 = 0 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -434 or -34?\nAnswer: -434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/10 - 4\/15. Let l = -61 - -796\/13. What is the closest to -1 in -1\/8, p, l?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-one quarters of a tonne?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 50 (b) -2 (c) 2\/27 (d) 0.04 (e) -5 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4*x = -207, y - 35 = 2*x + 36. Let q(m) = 2*m**2 - 8*m + 2. Let g be q(6). Calculate the greatest common factor of y and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -4. Let v = i + 1. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -14. Let n be (f + -2 - -2058)*2. Suppose n - 36 = 2*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(((-3)\/(-4))\/(18\/16))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 116\/10 + 4\/10. Suppose 3 = 5*j - k. Solve 5*q = t - 5, q + 4 - j = 3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 21 - 749 + 302*x**2 - 1111*x**2 wrt x.\nAnswer: -1618*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 546703 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 398, 352, 260, 110, -110, -412?\nAnswer: -808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 144*z**4 + 2*z**2 + 245*z?\nAnswer: 3456*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 656 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: Is 80453743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.010867 and 902.92.\nAnswer: 904.930867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 50*l**2. Let j(k) be the first derivative of k**4\/24 - k**2\/2 + 17*k + 26. Let c(o) be the second derivative of j(o). Determine z(c(u)).\nAnswer: 50*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*p + 4*j = -244, -2045*p + 80 = -2049*p - j for p.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 579 = -2*p + 2118, -10838 = -4*z + 2*p. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -c**5 - 87*c**4\/2 - 167*c**3 + 14277*c**2\/2 + 14913*c - 246240 = 0.\nAnswer: -32, -19, -15\/2, 6, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 292797183*o**2 - 223595032*o wrt o?\nAnswer: 585594366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6721544*z**4 - 4*z**2 - 5*z + 31914 wrt z?\nAnswer: -161317056*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*r**3 - 6*r**3 + r**3 - 11*r**3.\nAnswer: 27*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (5 + -4 + 6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43115\/9 - -4798. Let f be (-1)\/(0 - (1 + 0)). Calculate the common denominator of t and 1 - f - (-714)\/(-60).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 23 = 12. Suppose -2*a - 2186 = -n*a - 2*g, 430 = a + 4*g. Suppose h - 3*h + a = -z, 2*z = 2*h - 442. What are the prime factors of h?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (42\/27)\/7 + (-860)\/(-18). Suppose -t + 3*t = 2*y + p, 5*t - 116 = 4*y. Solve 5*v = 2*l - t, 3*l - v + 5*v = 7 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4281818 to the nearest integer?\nAnswer: 2069","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 7*x**2 - x. Suppose 4*j - 16 = 4*k, -2*j + 4*j - 5 = 3*k. Calculate p(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10024151*k**2 - 3*k + 156800.\nAnswer: 20048302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 76 + 141?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1278*a - 12*a**3 - 1013*a + 2291*a.\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -0.1, -1, 2\/7, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x**2 + x**2 - x**2)*(-3*x + 4*x - 5*x) + 29 - 13 - x**3 + x + x to the form l + s*x + k*x**3 + u*x**2 and give l.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 157, 645, 1459, 2599?\n\"Answer: 163*y**2 - y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -95.68 + 96. What is the second smallest value in c, 14\/3, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/3)\/(4\/444). Suppose 4*z = 5*b - z - 20, -4*z - 4 = 2*b. Let v be (115\/(-10) + 6)\/(b\/(-148)). Calculate the highest common factor of g and v.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h - 2. Suppose -2*f - 4*f + 162 = 0. Let q be (-21)\/(-189) + (78\/f - 0). Calculate o(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -33?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4b0 + 110f?\nAnswer: c5f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44607 + -44607.13452. Round w to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -49, -111, -199, -313, -453?\nAnswer: -619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -34*w**2 - 3*w - 1. Let o(y) = 14*y**2 + y. Let j(g) = 2*n(g) + 5*o(g). Let u = 8 + -3. Is j(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 165, 295, 391, 453, 481?\n\"Answer: -17*f**2 + 181*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j**2. Let k(x) = -297010*x**2. Determine s(k(n)).\nAnswer: 264644820300*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**4 + 9*s**4 - s**4 - s**4 + 9*s**4 + 18*s**4 + (s**2 - 2*s**2 - s**2)*(2*s**2 + 2*s**2 - 3*s**2).\nAnswer: 29*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 23860*r - 9 + 7 + 4 + 5.\nAnswer: -23860*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 201, 459, 821, 1287, 1857, 2531?\nAnswer: 3309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*p = 23, 9*t = 5*t + 4*p + 32. Suppose -2*d + d + t = -q, 0 = 2*q + 10. Factor -2*h**2 + 5*h**2 + 1 - 4 - 2*h - 4*h**3 + d*h.\nAnswer: -(h - 1)*(h + 1)*(4*h - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 6*w + 8. Is (-83)\/w - 3\/(-2) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 342 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -1.9. Let o = 203 + -202.5. What is the nearest to -0.1 in s, 5, o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a868 (base 13) to base 15.\nAnswer: 6e08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 29 - 13?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 8*s + 4*s = 0, j + 2*s = -6. Let f be (13\/j)\/(26\/(-104)). Solve -2*h + f = 3 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 414152076.\nAnswer: 2, 3, 13, 23, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2481244 litres to millilitres.\nAnswer: 248.1244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 80\/(-45)*-12*(0 - -3). Let s(t) = -1 + l*t - 61*t + 1. Let q(z) be the second derivative of z**4\/12 + z. Calculate q(s(j)).\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (54 - -3) + (-1057 - -964)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000065679 rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2.62 times 0.4\nAnswer: 1.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 330208.\nAnswer: 2, 17, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126433495.\nAnswer: 5, 25286699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n**5)**(-1\/10))**(3\/17))**3)**47 assuming n is positive.\nAnswer: n**(-1269\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x + 6. Let t be l(-5). Let q(w) = -w**2 + 11. Give q(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 0)\/(5 - 4) - -11. Solve -3*l = 5*s + 6, 0*s - 5*l = s + a for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**4\/13 + 230*q**3\/13 + 20742*q**2\/13 - 2359414*q\/13 - 4799924\/13 = 0. Calculate q.\nAnswer: -101, -2, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 167.3664 weeks to nanoseconds.\nAnswer: 101223198720000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -4, f = -5*l - 3750681 - 7549314. What is f rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {t: 8, b: 9, i: 2}.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 55a + 976?\nAnswer: 1314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 74591791 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.458733 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 + (-145)\/10)*72\/(-100)*-5.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37.34197m to millimeters.\nAnswer: 37341.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -26*g**5 - g**3 - 2*g**2 + 64*g + 3. Let c(m) = m**3 + m**2 + m - 1. Let a(q) = 3*c(q) + n(q). Find the third derivative of a(r) wrt r.\nAnswer: -1560*r**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5712 is divided by 1406?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*b + 5*b + 264 = 7*b for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**2. Let f(l) = 1111*l + 3. What is f(i(o))?\nAnswer: 2222*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z**2 - 9*z + 8. Let a(w) = 2*w**2 - 8*w + 7. Determine -6*a(i) + 5*o(i).\nAnswer: 3*i**2 + 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/1 + -1 + 4. Sort 2, i, 5 in increasing order.\nAnswer: i, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*r**3 - 5 + 5 + 0.\nAnswer: 113*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -49 + 50. Let n(g) = 14*g + 1552. Let w be n(-111). Which is the closest to p? (a) w (b) 5 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*f**5 + 242*f**4 - 131*f**2 + 3722633*f wrt f.\nAnswer: 180*f**3 + 2904*f**2 - 262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*a + 8*a + 7021 = 0. Does 59 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rlr when three letters picked without replacement from lllrrllrrlllrllllrl?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 10:41 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -83 + 220. Is o a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 611368974?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + 9*k + 5. Let d(l) = 1. Let a(x) = 5*d(x) + j(x). Let t = 17 + -28. Let h be a(t). What is the greatest common factor of 8 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 s when four letters picked without replacement from zzsszzs.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141 = -131*o - 121 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45 + -41. Put a, -0.4, 0.1, 22 in descending order.\nAnswer: 22, a, 0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 2. Let g = 1 - y. Suppose -g = -4*q + 7. Is q even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1134788 (base 12) to base 2\nAnswer: -1100100110111001011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6000 divided by 150.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 97\/12 + -25\/3. Let g(s) = -s + 6. Let u be g(7). Let t = -2.4 - -2. What is the nearest to j in t, u, -0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**3)\/i**(-2\/27))\/(i\/i**(1\/3))**(-19) assuming i is positive.\nAnswer: i**(290\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 659308 by -409.\nAnswer: -1612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1168 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1012011 (base 3) in base 4?\nAnswer: -31210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.064 + -0.06399433. Round k to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23020102032 (base 4) in base 7?\nAnswer: 33540612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 58 and 0.2.\nAnswer: 11.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 651?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3 - 6 = -5*h, -h = 5*p - 57. Suppose 24*w - 25*w = y, -5*w + 6 = 2*y. Solve p = 2*l + w for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((0 - (153 + -3)) + 13)\/1. Let d be (-1642)\/(-9)*(-3)\/4. Let o = a - d. What is the second biggest value in -1\/3, 18, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.15 in 3, 2\/5, -0.1, 1\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/14187272589?\nAnswer: -2\/14187272589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -351 = -5*a + 644. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 1320*a**3 - 3*a**2 - 2*a. Let o be t(6). What is o rounded to the nearest 10000?\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3800, -6489, -9178, -11867, -14556, -17245?\n\"Answer: -2689*f - 1111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**4 - 10*b**2 + 8 = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = 19*w - 42. Put w, 0, -1, -9 in descending order.\nAnswer: 0, -1, w, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47644839 and 5628.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -50 + 4457332\/89385?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 107492034 to the nearest integer?\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c**2 + 0*c**2 + 3*c**2 - 9*c**2 + c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -16*s**2 + 16*s + 11. Let y(v) = 26*v - 9*v + 2 - 14*v - 3*v**2. Determine -4*i(u) + 22*y(u).\nAnswer: -2*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1416277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 500, 2011, 4530, 8057, 12592?\n\"Answer: 504*q**2 - q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i + 45. Determine u(19).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (55895\/(-30))\/(16071\/(-9)). Let b = i - -1\/487. Find the common denominator of -23\/26 and b.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7287701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 17 = -271*k + 276*k, -22*k - 19*k - 28*k = 3*s + 81 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-168)\/(-1260)*(-33)\/55.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 3*d + 5. Sort -0.01, 3, d in descending order.\nAnswer: 3, -0.01, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 3*x + 584 = 608, 4*x - 110 = -14*a for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o + 2. Suppose -5 = 2*b - 3*b, -2*s - 6 = -2*b. Let d be 9\/2*(-12)\/(-18). Let h(l) = 4*l - 2. Give d*f(u) + s*h(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13110\/(-26220)*(-20)\/3*513\/18?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 8:41 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-29*p - 14*p + 472*p**2 + 43*p)*(-16 - p + 3*p + 33) to u*p**2 + k*p + o*p**3 + j and give u.\nAnswer: 8024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -20 + 13 + (-158)\/(-22)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -42 from -0.068.\nAnswer: 41.932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1462\/7 - 209. Let k = -68 + 60.3. Let d = k + 8. Which is the closest to 1? (a) s (b) -4\/7 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 2*q + 39, -4*q - 78*h + 84*h = 58 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -1)*(18 + (-12 - (5 - 4)))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -572*z + 1147*z - 574*z - 56.\nAnswer: z - 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i**4*j - 28*i**4 - i**2*j - j - 37 with respect to i.\nAnswer: -8*i**3*j - 112*i**3 - 2*i*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -8 + 12 - (-30)\/2. Let j = 30 - u. Factor -21*f**2 + 25 + j*f + 15*f**2 - f + 7*f**2.\nAnswer: (f + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -12*p + 8. Calculate u(-5).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3092\/11 - -195269\/693. Calculate the common denominator of a and -113\/308.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 5. Let a(n) be the first derivative of 0*n + 1\/2*n**2 + 1\/3*n**3 - 1\/4*n**4 - 42. Let l(x) = 3*x**3 - 4*x**2 - 4*x. Give z*a(r) - l(r).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z**3 + 12*z**2 - 7*z + 9. Let f be r(-4). Solve -9*n + f + 17 = 0 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + 55\/35 - 17\/(-7). Solve 3*k - l*k = 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.9 + 2. Let q = -56 + 51. Let h = -4.94 - q. Are h and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38864142 divided by 62.\nAnswer: -626841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -12. Let i be 1\/(-5) - (-44)\/(-220). What is the closest to 2\/3 in i, y, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*u**2 - 50\/3*u + 47.\nAnswer: (u - 47)*(u - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 9*t - 110. Let x(m) = -4*m + 55. Determine 6*s(q) + 13*x(q).\nAnswer: 2*q + 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -d + 8. Suppose 0 = t - 4*t - d*s + 37, 3*t = -5*s + 35. Suppose 5*m = -20, 3*m + 2*m + 44 = 4*n. Calculate the remainder when t is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8452194.\nAnswer: 2, 3, 1408699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -19 (b) 3\/7 (c) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2643347 and 14994.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 8*p - 83520. Suppose 7*k + 3*k - p = 0. Does 10 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2b + 9285?\nAnswer: 92b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 31\/2 of a meter?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + x + 54 = 5*o, x - 6 = -5*o. Let p(n) = x*n - 58*n + 21*n + 18*n. Let f(y) = -12*y. Determine p(f(z)).\nAnswer: 36*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13684\/(-7464)*3*2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5 + (-4 - -4))*(-4 - 5)\/9. Solve -5*v + z - 22 = -3, 23 = -v + n*z for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30544746*a*g**2 - 10*g**2 + 469560*g with respect to a.\nAnswer: 30544746*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q = 7*q - 315. Let f be (q\/(-14))\/(2\/(-4)). Let o be (-14004)\/(-324) + -2*(-1)\/f. Calculate the highest common divisor of 387 and o.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 12, q: 6}. Give prob of picking 4 w.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-40) - (-62)\/(-248))\/(6\/20)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 820180 and 23960.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2941*t - 7*f - 15 = -2940*t, 29 = -4*t + f + 2*f for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 720 = -2*p, 89*p - 91*p - o = -720. Is 9 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 0.003 in descending order.\nAnswer: 0.003, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 12 - 39 = 0. What is the second biggest value in 3, 1\/6, l, -2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.17 + 1.27. Which is greater: 0.28 or l?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a hour in seconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36)*-2*-2)\/((sqrt(84) - (sqrt(84) - (sqrt(84) - (sqrt(84) - 1*sqrt(84)))))\/sqrt(7)) + -5 + (0 + sqrt(3) + -1)*3)**2 + -4.\nAnswer: -112*sqrt(3) + 207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 13*p**2 - 2*p - 1. Let c(g) = -g**2 - 19*g + 19. Suppose -5*m - 39 - 61 = 0. Let i be c(m). Is n(i) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/1173 + 2332\/8211. What is the closest to d in 1\/2, -7, -2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 2)*(0 + 4 - 1)*(2*s + 2*s - 2*s)*(4 - 5 + 3) to the form d + f*s and give f.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 144*k**2*x - k**2 - k*x - 103*k - x - 4316545 wrt k?\nAnswer: 288*k*x - 2*k - x - 103","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5192378?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**3 - 7*v**3 - 2*v**3 + 8*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 212 (base 10) to base 2\nAnswer: 11010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -4*d**2. Let p be ((-7)\/5)\/((-11)\/275). Let b(k) = -p + 35 - 7*k**2. Calculate b(l(v)).\nAnswer: -112*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 8, -8\/3, -10.8, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-30)\/(-6) - (-2)\/2 - 2. Suppose r = 19*w - 17*w. Solve 0 = -3*d - 2*d + 4*f - 25, w*d = f - 7 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 69610019 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -12*h + 843. Let n(z) = -29*z + 1692. What is 5*d(o) - 2*n(o)?\nAnswer: -2*o + 831","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5082274279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13199097 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) - 5*sqrt(119))*-6)\/(sqrt(1134)\/sqrt(2)).\nAnswer: 8*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 6*r = -20. Suppose 12*k - 5600 = r*k. What is f in -221*f + 111*f + k*f**5 + 76*f**4 + 86*f - 416*f**3 - 196*f**2 = 0?\nAnswer: -3\/5, -2\/7, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a400 (base 12) to base 9\nAnswer: -26440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 750.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 0*y - 22*o = 5 + 27, y - o = 8 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, p: 3}. What is prob of picking 2 y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*n**5 + 4940*n**4*q + 24*n*q - 3*n + 99*q - 2 wrt n.\nAnswer: 460*n**3 + 59280*n**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*f**3 - 5 + 1 + 1 + 2 as v + c*f**3 + n*f**2 + p*f and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**2 - 4*h. Let m be i(0). Suppose 4*b - b = -2*d - 3, 3*b + 15 = m. Suppose d = n - 3*n. Which is greater: -1.2 or n?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9148*w**3 + 109*w**2 - w + 11 wrt w.\nAnswer: 54888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 8*r**2 + 26*r + 23. Calculate n(11).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 5*v + 22, 5*y + 22 = v + 68. Sort y, -1, 2 in descending order.\nAnswer: y, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/15*(-486)\/(-126)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 458645 - 5?\nAnswer: 458640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**2 - 190175616*s - 3013897076748288 = 0.\nAnswer: -31695936","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -77874481.12 rounded to the nearest one hundred thousand?\nAnswer: -77900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00013505 to six dps.\nAnswer: 0.000135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -608 - -427. Let n = -118 - p. Let k = -63.5 + n. Which is the nearest to -2\/11? (a) k (b) 1\/2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + v - 2. Let w be d(2). Suppose -4*p - 16 = -2*u, w*p - 26 = -u - 4*u. Does 6 divide 10*4\/40*u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + -1 - -2 - -11. Suppose -w + 2*b = -q, 2 = -w + 3*b + 16. What is the units digit of (8\/3)\/(w\/3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qmzp when four letters picked without replacement from {y: 1, z: 1, p: 1, d: 1, m: 1, q: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.555 times 64\nAnswer: -35.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1 + 6*(sqrt(44) + 0 + 5))**2.\nAnswer: 696*sqrt(11) + 2429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 61*t + 39. Let l be o(-4). Let q = l - -211. Calculate the highest common factor of q and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(0 + 3)*1. Let x = h - -1. Solve x = z + 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -321 (base 6) in base 9?\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fzfzz. What is prob of picking 1 f and 1 z?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.57 - -2.43. What is the third smallest value in 7, 5\/2, n?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 13 = -3*s, -5*l + 5*s - 132 = -162 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73.46376 micrometers to meters.\nAnswer: 0.00007346376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/7 + 38\/(-42). Let p = 17\/42 + g. Sort 0.4, 5, 0.3, p.\nAnswer: 0.3, 0.4, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 132.4197 - 133.01. What is q rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 694 is divided by 104?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.02 and -42?\nAnswer: 42.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 2*w - 35. Let i be y(0). Let v = -8 + i. Let t = 75 + v. What is the greatest common divisor of 16 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21338*a**3 - 42*a**2 + 139*a + 5 wrt a?\nAnswer: -128028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2784 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k - 5. What is d(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 7*o**2 - 3. Let q(x) be the third derivative of x**4\/4 + 338*x**2. Determine q(b(s)).\nAnswer: 42*s**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 9502.292 centuries?\nAnswer: 950229.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -0.6, -10, 2.2 in descending order.\nAnswer: 12, 2.2, -0.6, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1669194007?\nAnswer: 13, 128399539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5391*n + 2659*n = -2698*n + 780 - 1970 for n.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -bafe66 (base 16) to base 5.\nAnswer: -11114123242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 10 = 4*o. Solve 5*u = -2*s + 17, s = -o*u - 2*u + 13 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -11*k**3\/3 + 4. Let b(h) = -518*h + 287*h + 232*h. Give b(j(r)).\nAnswer: -11*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -9840\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 9*g. Let j(f) = -13*f. Give j(v(a)).\nAnswer: -117*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 1 + 7\/(-5). Which is bigger: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 597912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**2 - 1. Let p(v) = -v**2 - v + 1. Determine -2*p(l) - 3*w(l).\nAnswer: -4*l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*i - 41 + 30 - 29 - 34 as w*i + l and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 251.45 less than 10?\nAnswer: -241.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 213 + -23011?\nAnswer: -22132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, u: 14}. Give prob of sequence ub.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 5*l**2. Let a be i(-5). Suppose -4*x + 249 - 37 = a. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -2*f + 2954 + 10240, 0 = -5*f + 2*v + 32973. Let u = 72469\/11 - f. Calculate the common denominator of u and ((-1320)\/27)\/5 + 3.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/2, -5\/3, 1.2, -0.7?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b + 125. Let a(d) = -2*d**2 + 85. Calculate g(a(p)).\nAnswer: 2*p**2 + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) 0.3 (b) -12206 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000145424221 rounded to 6 dps?\nAnswer: 0.000145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -188*l**3 - 51*l**2 + 189*l**3 + 30*l**4 - 200*l**4 + 8 wrt l.\nAnswer: -4080*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 + 4*l + 4. Let p(s) be the third derivative of -s**6\/120 - s**5\/10 + 3*s**4\/8 + 11*s**3\/6 - 19*s**2. Let u be p(-7). Give r(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1138 - -1141. Which is the third smallest value? (a) -1\/6 (b) m (c) -4 (d) 0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19780 and 774.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2367027590?\nAnswer: 2, 5, 67, 3532877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/3 + 158\/237. Let q(z) = z - 9 + 3*z**2 - 5*z**2 + 3*z**2. What is q(c)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5412 and 12?\nAnswer: 5412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -390*y - 2 + 1 - 3 - 144*y - 274*y in the form n*y + s and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 41134 - 13233320?\nAnswer: -13142131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 215359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 27*j**2 + 14*j - 6. Let l be r(-1). Solve 0 = 3*w + 9*z - l*z - 5, 4*w + 3*z = 8 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -11. Let x = y + -128. Let k = 121 + x. What is the fourth smallest value in 2\/13, -1\/3, k, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(200) - -2*sqrt(200)*5) + sqrt(200) + (sqrt(200)*4 - sqrt(200) - sqrt(200)) + -3)**2 - ((-5 + 1*sqrt(200))*4*-4)**2).\nAnswer: -123800*sqrt(2) + 91955","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/11 >= 7265721?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -63, 0.1, 0, -0.4, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 756\/(-567)*(-231)\/(-66)*117\/21?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -139*b**4*n**2 + b**4*n + b**2 - 103*n**2 wrt b.\nAnswer: -3336*b*n**2 + 24*b*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**6*o**(8\/7) assuming o is positive.\nAnswer: o**(50\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 861*v**4 - 2815*v**3 - 114436*v**2 - 1860*v = 0?\nAnswer: -10, -2\/123, 0, 93\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + w**4 - 2*w)*(24 + 6*w - 24).\nAnswer: 6*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -10. Solve 3*d + 13 + o = -g, -3*d = 2*g + 20 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7370664.\nAnswer: 2, 3, 7, 73, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -90*x + 35. Let f(d) = 10*d - 4. Let i(q) = 35*f(q) + 4*u(q). Let g = 653 - 674. Let c be -5 - (-5 + 2 - (24 + g)). Determine i(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202201110 + 21?\nAnswer: 202201201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 7*c**2. Let k(f) = 1278*f**2 - 7*f + 24. What is k(d(j))?\nAnswer: 62622*j**4 - 49*j**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -96 - -133. Suppose -y*v + 17016 = -13*v. What is the hundreds digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 575120 and 8216?\nAnswer: 575120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 + 26. Suppose -f - 597 = -3*v, -4*f + 7*f = -w. Is -2 + (-2 - (2 + -6)) + v a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bmhbbobbobh. Give prob of sequence hb.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i. Let a(w) be the first derivative of 53*w**3\/3 + 70. Determine a(z(o)).\nAnswer: 477*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 231.3 - 226.3. Let m = 20 - 41\/2. Put m, l, -6\/5 in descending order.\nAnswer: l, m, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) - (sqrt(539) + (sqrt(539) - 5*5*sqrt(539))))**2.\nAnswer: 310464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w. Let y(l) = 589*l. Calculate p(y(t)).\nAnswer: -589*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d**3*n - 2*d**3 + 11*d**2*n + 19*d**2 - 6977*d*n + 4057*d - 4*n + 1 with respect to n.\nAnswer: -2*d**3 + 11*d**2 - 6977*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -754, -1519, -2284, -3049, -3814?\nAnswer: -4579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k + 2*k + 2*k + k - 4*k + 2*k + (1 - 1 - 2*k)*(-4 + 1 + 4) + 2*k + 3*k - 9*k - 3*k + 3*k - 4*k.\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven halves of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ozz when three letters picked without replacement from ostozgstttotzbotgzot.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((4*-3*sqrt(2299) - sqrt(2299))**2 + 1 + -1 + (sqrt(2299) - (sqrt(2299) + (-5*sqrt(2299) - sqrt(2299))))**2 + -4 + 1).\nAnswer: -1413876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 5:56 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4085, -41, -1 in decreasing order.\nAnswer: 4085, -1, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76, 719, 2466, 5869, 11480, 19851?\nAnswer: 31534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 40 = -5*a, -4*x - 64 = 75*a - 71*a. Sort 12, 1, x in ascending order.\nAnswer: x, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -11833, -23477, -35121?\n\"Answer: -11644*h - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (84\/(-22))\/(-21) - 0\/(-1).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(4\/9)\/b*b\/b**(-2\/7)*b)**(-2\/25) assuming b is positive.\nAnswer: b**(-218\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 4 (c) 10 (d) 2 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 188 - 77. Let q = 667\/6 - h. What is the common denominator of -97\/20 and q?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1)*(4*k - 4*k + k)*(504*k + 175*k + 63*k).\nAnswer: -1484*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 5*o = 4, 5249 - 10504 + 5251 = 4*w - 15*o for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -168, -1806.\nAnswer: -1806, -168, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {a: 4, y: 6, d: 3, j: 2, z: 2}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10430 - 3324. What are the prime factors of y?\nAnswer: 2, 11, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 52\/5 in 2\/7, 1, 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1899 is divided by 51?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-9)*v*v**(-1\/12))**(-2\/31) assuming v is positive.\nAnswer: v**(97\/186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/512*4)\/(60\/1320).\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78 - ((-1040 - -1045) + (-1 - 12)).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 434 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 1:57 PM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -4*d - 0*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73.7*17557.\nAnswer: -1293950.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -7, -8, -1.7, 209 in descending order.\nAnswer: 209, 0, -1.7, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mwmmy. Give prob of picking 2 m.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p + p - p)*(-1 + 0 - 1) + p - 4*p + 2*p + (p - 4*p + p)*(4 - 1 - 1).\nAnswer: -13*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -35823, -35756, -35635, -35460, -35231, -34948?\n\"Answer: 27*d**2 - 14*d - 35836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of -j**8\/5040 + j**6\/1080 + 5*j**3\/6 - 7*j**2\/2 + 13*j. Let f(p) be the second derivative of q(p). Factor f(u).\nAnswer: -u**2*(u - 1)*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3*(sqrt(13) + 1) - sqrt(117)\/(-2*sqrt(9)) - (-1 + sqrt(13)*2 + 2)).\nAnswer: -15*sqrt(13)\/2 - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -363 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -48.2?\nAnswer: 41.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + sqrt(68) + 4)*3)**2.\nAnswer: 288*sqrt(17) + 2592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 7*x**2 + 7*x - 4. Let a be (-11)\/(-2) + (-1)\/(-2). Let q be y(a). Suppose 3 = 3*n + q*z, 2*n - z + 5*z = -6. Solve s - 8 = -n for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 0*t = 0. Let f(b) = -b - 3 - b + t*b. Does 2 divide f(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -992 - 154 = -3*b. Does 9 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*g**3 + 0*g + 2*g**2 + 0*g + 806*g**3.\nAnswer: 879*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6 - ((0 - 2) + 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 5*d**2 + 6*d - 16. Let l be r(5). What is the greatest common divisor of l and 182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*z = b - 8, 4463*z + 16 = -b + 4458*z - 4 for b.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 2*r - 1. Let h be l(1). Let w(c) = -6*c**2 + 2*c**2 - 13*c**h. Let a(k) = -280*k - 2*k**2 + 280*k. What is a(w(s))?\nAnswer: -578*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 15\/75806?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**3 - m**2 - 17*m - 30. Determine d(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -32212121 (base 6) to base 12\nAnswer: -39a041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 431*o - 1293. Let l be h(3). Solve -26*z + 41*z - 60 = l for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1004 - 7*i**4 + 489 + i**3 + 508 to the form b*i**3 + h*i**2 + g*i**4 + q + k*i and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5 - 17\/3)\/((16 - 17)\/(-3 + 11)). Factor y*x + 1\/3*x**2 + 64\/3.\nAnswer: (x + 8)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26790579\/8 = 3348823?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 42 - 8 = -3*a, -5*m + 5*a + 70 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*x + 308*x = 149*x - 6005 - 24116 for x.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v**4 + v**4 - 3*v**4 + (5*v**4 + 2*v**4 - 2*v**4)*(-1 - 1 + 4).\nAnswer: 12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5*o = -39, -37 = -5*r - o - 0*o. Let k = 29 - 120. Let s be ((-13)\/k)\/(2\/14) + -1. Solve 2*i + 3*h = r, i + 2*i - 5*h - 12 = s for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4432?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8599 is divided by 28?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101363*n = -101375*n + 202751*n + 390 for n.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((10*w - w - w)*(-w**2 - 2*w**2 + 0*w**2) - 3*w**3 + 4*w**3 - 3*w**3)*(w - 5 + 5).\nAnswer: -26*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t + 1. Let l be v(0). Let d = -21 - -40. Let a = d - 20. What is the closest to a in l, 2, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 6*g - 11. Is x(-10) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 258*l**3 + 10*l - 11*l**2 - 5*l**5 - 4*l**2 + 15*l**4 - 263*l**3 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 12, b: 7}. What is prob of picking 2 b and 1 h?\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(17))*-4 + ((1 + sqrt(17))*2 - sqrt(17)) + -5 + (sqrt(17) - sqrt(102)\/sqrt(6)) + 2 + sqrt(17) + 2 + -2)**2.\nAnswer: 20*sqrt(17) + 93","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/3*(-29)\/(179568\/540)*(-10)\/(-25)?\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275*q - 2676 = -476 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 9:40 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (9550*q - 4863*q - 6482*q)*(2 - 2 - 2)*(-q + 0 + 0) in the form o*q + m*q**2 + v and give m.\nAnswer: -3590","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 75? (a) 1\/2 (b) 3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.1 - 1.099998568. What is v rounded to 7 dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 156875719?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -4) + (7 - -3 - -3).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 - -7. Let j = o + 6.98. Let m = j - -0.02. Are m and -3\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20645 + -20643. What is the fourth smallest value in 67\/2, 0, 1\/16, r?\nAnswer: 67\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 129 + 13*n**3 + 12*n**3 - 28*n**3 - n - 37 + 54 as g*n**2 + b*n + y + t*n**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 + 5 - 3) + 36. Let v = c + -34. Suppose v = -5*m + 2*w + 19, -2*w - 2*w = 5*m - 7. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1 - 557*s**3 + 156*s**3 + 6.\nAnswer: -401*s**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -26*j - 284. Let r be k(-11). Solve -14 = 5*d + 4*g, 3*d - 3*g = g - r for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 860297 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -265 + 270. Let l = 4.5 + -5. What is the closest to 3 in -0.1, b, l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12)\/10)\/((-2)\/5). Find the first derivative of 3*n - c*n + 4*n - 4 wrt n.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3367\/12 or 282?\nAnswer: 3367\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 291ba9?\nAnswer: 291bad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*s**3 + 5*s**3 + 18*s**3 - 9*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 e when two letters picked without replacement from erreddrdeefddy.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 327 (b) 1\/4 (c) 0.02 (d) -2\/9 (e) -4 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -10, 689, 7, -4, -5.\nAnswer: -10, -5, -4, -2, 1, 7, 689","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19995 is divided by 3179?\nAnswer: 921","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1286, -1396, -1530, -1694, -1894, -2136, -2426, -2770?\nAnswer: -3174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 3*l + 3*y - 111 = 0, 2*y = -5*l - 487. Let v be -2 + -2 + -50 + 1. Let r = v - l. What is the remainder when r is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12954, 25900, 38846, 51792, 64738?\nAnswer: 77684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*v**4 - 2*v**3 - 96*v**2 + 152*v - 32.\nAnswer: 2*(v - 2)**2*(v + 4)*(4*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -60 - -56. Let c = 20 + -20.99. Let n = c - -1.49. What is the nearest to -6 in 1, n, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16520813*u**3*z + u**3 + 4*u**2 + u*z - u - 1728335 wrt u.\nAnswer: -99124878*u*z + 6*u + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*m**3*u**3 - m**3*u**2 - 3*m**3 + 50*m**2*u + 7*m*u**3 wrt u?\nAnswer: -36*m**3 + 42*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 69414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t + 5 - 14 = 0. Solve i = -t - 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -569, -3788, -12267, -28634, -55517, -95544, -151343?\nAnswer: -225542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3 = -0*w. Suppose -v - 7 = -w*r, 6*v = -5*r + 2*v + 6. Which is the nearest to 1? (a) -1\/6 (b) -4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4\/5 (b) 5 (c) -4\/1823\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 19*d + 25. What is f(-21)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3 (b) -4\/7 (c) 0.2774\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + -2 - 0 - 4. Let a(x) = -2*x + 1. Let v be a(l). Let c = v - 0. Calculate the remainder when c is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91 divided by 91.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v**2 + 5*v**2 - v**3 - 10*v**2.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 12:29 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 516707, 516703, 516703, 516707, 516715?\n\"Answer: 2*h**2 - 10*h + 516715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 2*y - 3, 10*y - 15*y + 5*v = 30 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 473*y - 480*y + 2*h = 29, y - h + 7 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 137*v + 946. Let a be n(-7). What is the biggest value in 0.4, a, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, b: 2, v: 3, i: 2}. Give prob of sequence bh.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-154)\/(-33) - (-4)\/(-6). Let f(l) = 3*l - 4*l + 6*l - p - 3*l. Let c(a) = 2*a**2. Determine f(c(h)).\nAnswer: 4*h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p - p**4 + 78 - 36 + 2*p**2 - 41 to c*p**3 + t*p + w + m*p**4 + v*p**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 303*w**2 + 24*w**5 + 33*w**5 - 7*w**2 + 14*w**5 wrt w?\nAnswer: 4260*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r**4 - 1 - r**4 + 3*r + 3 + r**3 + 0*r**4 as v*r**4 + h + z*r**3 + a*r**2 + m*r and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 9 (b) 2 (c) -56 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 158 - 156. Solve -n = 3*w + 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -19*h + 18*h + 8, 0 = 2*x + 2*h for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223 is divided by 55?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 56498.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 85 - 82. Solve -y*z - z + g - 17 = 0, 3 = -g for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1428 less than 0.05?\nAnswer: 1428.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(21)\/sqrt(3) + 0).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.17, 2\/23, 0, -0.02?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 35*o - 285. Let j be h(7). Solve -j*l + 30 = 48 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of 2*c**3\/21 - 13*c**2\/7 + 24*c\/7 - 219. Factor w(l).\nAnswer: 2*(l - 12)*(l - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-5) + 693\/45. Suppose 10*j - o = 2*j. Suppose j*c - 158 = -0*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -3. Let h(k) = -3*k**2 + 3*k**3 - 2*k**3 + 0*k + k. Let d be h(3). Calculate the greatest common divisor of r and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11e7 - b57?\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -94324, -94341, -94372, -94417?\nAnswer: -94476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -17*o - 1485. Calculate j(-69).\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 111749, 218676, 325603?\nAnswer: 432530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.5 - -2.51. What is z rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**4 + 1 - 29*o**2 + 17*o**2 + 15*o**2 as u + w*o**3 + v*o**2 + y*o + n*o**4 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 327, 289, 265, 261, 283, 337, 429?\n\"Answer: i**3 + i**2 - 48*i + 373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-376)\/(-279)*(-6)\/(-44) + (-280)\/(-1540). Is x != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - v - 19. Determine p(-6).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n - n + n)*(-4*n**3 + n**3 + 2*n**3) + (0*n**2 + 5*n**2 - 3*n**2)*(-5*n**2 + 5*n**2 - n**2) to c*n**4 + a + g*n**2 + j*n**3 + q*n and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -5*w - 3098, w = -7 + 12. Does 31 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3 - 5 + 2*a**2 - 6*a - 3. Let d(q) = -3*q**2 + 6*q + 6. Let i(g) = 3*d(g) + 4*l(g). Let t be i(-4). Solve -p + 10 = -t*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 2)*(4*j - 32 - 3*j - 7).\nAnswer: 3*j - 117","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 86*c**3 - c**2 + 26*c - 89. Let w be f(3). Suppose 3*r - w = -5*i, -5*r + 1272 = 3*i - 2538. List the prime factors of r.\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (29 - (53 - 40)) + 5 + 1\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 273999987 divided by 30444443.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -95752.\nAnswer: -191504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 557217119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17231099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -106166*s**4 - 38191*s**2.\nAnswer: -2547984*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 7*c - 48. Let w(g) = g**3 - 13*g**2 + 21*g + 15. Let v be w(13). Suppose 46*o + v = 48*o. What is the highest common factor of c and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2962 + 2956. Let q(k) = -k + 1. Let g(y) = 24*y + 6. What is a*q(i) + g(i)?\nAnswer: 30*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1012405313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(11) + -4)*-1*-5 + ((-2*sqrt(132) - sqrt(132))*1)\/(sqrt(60)\/(sqrt(5) + sqrt(20))).\nAnswer: -4*sqrt(11) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19488, 77916, 175288, 311598, 486840, 701008, 954096, 1246098?\nAnswer: 1577008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 2 = -3*q, 209 = 5*b - 3*q + 11*q + 181 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13*(-8)\/(-1456)*10?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 97690.7701 rounded to the nearest one hundred?\nAnswer: 97700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 91 and 325.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4821646?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -300?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 75 - 26 = 0. Let l be -1 + 10\/8 - 16031\/(-164). What is the greatest common divisor of l and p?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of w**4\/2 - w**3\/3 + w**2\/2 - 2*w + 62. Determine c(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 + 20*m - 34. Let r be u(18). Suppose r*o - 8*o + 348 = 0. List the prime factors of o.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 7:01 PM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 4 (b) -0.5 (c) -2\/273\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 68 - 152. Let d = 83 + q. Which is smaller: d or -1\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, y: 1, e: 1}. Give prob of sequence ehhy.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 8*u. Suppose l - 30 = -4*l. Suppose l*p - 20 = 2*p. What is the remainder when n(6) is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(35)\/sqrt(7)*-3 - sqrt(500)).\nAnswer: 13*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - w**2 + w + 6. Let r be k(0). Let o = -8737\/940 + 270\/47. Find the common denominator of o and -2 + 2 + 11\/r.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54131516 (base 7) to base 2\nAnswer: 10001100110001100111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s**3 + 2*s**3 - 5*s**3 - s**3 + 0*s**3 + 0*s**3 - 2*s**3 + 2*s - 2*s + (4 + 4*s**2 - 4)*(-s + s - 2*s).\nAnswer: -10*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 488877?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5*b = 4*b + 148, 2*b + 88 = -2*n. Let l = n - -56. Let x(w) = 15*w + 23. Does 11 divide x(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/494 and -25\/346944?\nAnswer: 6591936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -4*b - 2*f + 23, 3*f + 13 = -b. Suppose -2*h - 15 = -5*z - h, b*z - 24 = 4*h. Suppose u + 3*u = 0. Solve z*d + u*d + 8 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1994.\nAnswer: 2, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.29471 + 1.29471. Let w = 106 - 60. Which is the closest to -2? (a) 2\/9 (b) -0.2 (c) m (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -1, 808, -0.12 in descending order.\nAnswer: 808, -0.12, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 197931?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i\/(i\/i**(-2\/15))))\/((i*i**3)\/i))\/(i\/i**(1\/6)*i**(1\/3)))\/(i**13\/i**(-4\/7))**(-2\/101) assuming i is positive.\nAnswer: i**(-58637\/21210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 111072002681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 732*i**2*s**2 + 5*i**2 - s**2 + 4557*s wrt i?\nAnswer: 1464*i*s**2 + 10*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 748 - 665. Let d(v) = -v**3 + 7*v**2 - 4*v - 2. Calculate the remainder when f is divided by d(5).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + -1)*4*-223. Find the third derivative of u*o**2 + 1 - 811*o**2 - 1 - 3*o**3 wrt o.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 193 - 194. Let z(c) = -4*c + 20. Suppose 3*p - 289 = 2*h, p + p - 2*h - 196 = 0. Calculate the remainder when p is divided by z(s).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/99 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20.7 + -23.04. Let b = 52 + -49.1. Let u = r + b. Round u to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121044171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + 5*(-3)\/(-15). Let f = 13 + -7. Calculate the greatest common divisor of f and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -5*o - 1, -5*n - 188*o = -191*o + 29 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56 + -4. What is the highest common factor of k and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4*o = 85259, 4*u = 2*o - 5900 + 119582. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1017?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u**2. Let y(s) = s**2 - 14673682. What is y(c(i))?\nAnswer: 9*i**4 - 14673682","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -116 + 123. Let a(o) = o + 5. Let p be a(b). Suppose 2*m + 5*n = n + p, 3*m - 5*n - 40 = 0. Solve 0 = -3*q + q + m for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 less than or equal to -33.21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 25 = 15*h. Suppose -p + 5*l + 30 = 0, 3*p + 1 = h*l + 26. What is the third derivative of -87*i**p + 35*i**5 + 46*i**5 - 26*i**2 + 31*i**5 wrt i?\nAnswer: 1500*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3 - 8526424*x**2 + 4543727086340*x + 18175044768400.\nAnswer: 4*(x - 1065805)**2*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 40, -0.2, 38?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -5274, -3, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4572771417.\nAnswer: 3, 29, 103, 170099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 323321796 and 1764.\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -131.888853 rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -419, -827, -1239, -1655, -2075, -2499?\n\"Answer: -2*g**2 - 402*g - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 6297058.8us?\nAnswer: 0.000072882625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5933444 * 16\nAnswer: -94935104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = 4*h - 8. Let p = 4 + h. Solve -4 = -s - p for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/5 - 447*a**2\/5 + 63841*a\/5 - 63393\/5.\nAnswer: -(a - 113)*(a - 1)*(a + 561)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -0*l - 98. Is 11 a factor of (132*1)\/(-13 + l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 5, -3050 in ascending order.\nAnswer: -3050, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0223105228 rounded to 3 decimal places?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 1350 = -2*s, 3*m - 1695 = -2*m - 5*s. Let q = m - 1421\/4. Which is greater: -18 or q?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = c + 4549, 2*c + 19 - 21 = 0. Put p, 2, 2\/5 in decreasing order.\nAnswer: 2, 2\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (2*sqrt(19) + 5)**2)*-4 + ((sqrt(2736) - (sqrt(2736) + sqrt(2736) + -1)) + sqrt(2736))**2 + -5.\nAnswer: 76*sqrt(19) + 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29722411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-6))\/(3\/27). Let o = 72 + -66.3. Let p = o + -0.7. What is the nearest to -0.1 in -3, p, k?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.5531722 to one dp.\nAnswer: -6.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -7446839?\nAnswer: -7446844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 508.4 rounded to the nearest 10?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -6*f**3 + 1171. Let v(z) be the first derivative of -z**3 + 2. Calculate v(p(w)).\nAnswer: -972*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, -0.53, -1\/8.\nAnswer: -0.53, -1\/8, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 156740056 a multiple of 274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -0*c - 2*p + 502, 4*c - 636 = 4*p. What is the lowest common multiple of c and 10?\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 10:54 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 205926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5 - 0.5. Let p = d + -5. Let m = -3510 + 3499. Which is the second smallest value? (a) 3 (b) p (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(68)*-4*4 - sqrt(68)))\/((sqrt(60)\/sqrt(5))\/sqrt(3)*5)*-1 + 4.\nAnswer: -34*sqrt(17)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i + 7. Let h be o(4). Let s = 215.5 + -215. Let a = -0.2 + 0.1. What is the second biggest value in a, h, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*l + 24*l - 17196 = -5*o, 3*o + 5*l = 10344. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 3*n**2 - 3*n. Let i be j(2). Let o be 4\/1*(-2)\/i. Suppose g = -4*m + 7*m + 16, 0 = -5*g - o*m - 15. Are g and 4\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 6*b + 162 = 0, 3*k + 0*k = -49*b + 54*b + 116 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 23*j**2 + 29*j - 48. Let v be f(22). Suppose -1079*r + v*r + 107335 = 0. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8685 (base 13) in base 5?\nAnswer: 1044244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1572869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1333\/(-93))\/(0 + 2\/(-12)). Suppose -84*m + r*m - 708 = 0. Suppose -14*w + 12*w + m = 0. What are the prime factors of w?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.76884 or 3647?\nAnswer: 3647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29319 is divided by 9361?\nAnswer: 1236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 8:26 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of -n**6\/540 + n**4\/36 + 11*n**3\/6 - 2*n**2. Let d(i) be the first derivative of p(i). Let d(h) = 0. What is h?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19120810?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43779 is divided by 1921.\nAnswer: 1517","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/10)\/((-39)\/65)*114\/76?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 90*j**2 + 2*j**3 - 2 + 3*j**4 - 91*j**2)*(0*j + 3*j - j).\nAnswer: 6*j**5 + 4*j**4 - 2*j**3 - 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(171) + 5)**2 + -3 + (sqrt(19) + -3)**2 + sqrt(19) + -3.\nAnswer: 85*sqrt(19) + 1586","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9585 - 19759 - 36100*h**2 + 4090 + 29640*h.\nAnswer: -4*(95*h - 39)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 66*j + 50. Let t be s(3). What is the second derivative of 2 + 94*r - 2 - 211*r**2 + t*r**2 wrt r?\nAnswer: 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r - 44 - 25 - 16.\nAnswer: 5*r - 85","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -0.8 (c) 8125 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 23400363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/6*(-12)\/(-14). Let n = -60 + 62.17. Let s = n - 2.37. Which is smaller: s or h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (291\/(-3) - 3). Let o = -60 + s. Suppose -2*k - 16 = -o. 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: Let d = -56 - -80. Suppose -8*z + 12*z = d. Suppose -z*x - 45 = -11*x. Which is smaller: 6 or x?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gsuq when four letters picked without replacement from aauqggogugsu?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(280)\/(sqrt(30)\/sqrt(3)))\/((sqrt(48)*2)\/sqrt(12)).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**2 + 5*z. Let o(s) = 3*s**2 + 7*s. Let g(l) = -7*c(l) + 5*o(l). Let p(k) = -8*k**2. Calculate g(p(h)).\nAnswer: 64*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 16 = -c - 16, -3*c - 5 = 2*o. Let v(p) = p**3 + 9*p**2 + 7*p - 2. Calculate the remainder when v(o) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -19. Suppose 13 = r + a. Suppose -r*k = 236 - 854. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**17*b\/(b\/b**(-11)) assuming b is positive.\nAnswer: b**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-18)*15\/(-30)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12320 - -106. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1185.34*-2\nAnswer: -2370.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-5)\/10)\/((-2)\/8). Let u = 0.8 - 1. Which is the closest to g? (a) 3 (b) u (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70584 is divided by 241?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 4*u + 28 = 0. Let i = u - 11. List the prime factors of i\/(-6) - (-52)\/3.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yyyyyyhyyyyyyyyyyyy.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**4 - 6*t**3 - 6*t**2 - 2*t.\nAnswer: -2*t*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 13) in base 12?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c + 1. Let k be l(0). Let w be (-2 - -1)*(-3 + k). Suppose w*z = z + 10. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 18 = -0. Let b be t\/(-4)*(-16)\/12. Let w = 52 - 51. Solve -3*p - 4*j + 4 = -0, -j = -b*p - w for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 7:58 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -6*i**2 + 68*i - 25. Let s be c(11). Sort s, -4, 2, -1 in increasing order.\nAnswer: -4, s, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 17. What are the prime factors of t?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 1440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-7)\/c**(-13))\/(c\/c**(-8)*c\/(c\/(c*c**(-2\/5))*c)) assuming c is positive.\nAnswer: c**(-13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*f**5\/11 - 4526*f**4\/11 - 849748*f**3\/11 + 1425816*f**2\/11 - 571536*f\/11 = 0. Calculate f.\nAnswer: -378, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32*n*o**3 - 1628*n*o - 4*o**5*y + o**2*y - 4*o + y wrt o.\nAnswer: 192*n*o - 80*o**3*y + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3108161453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 1540*i + 20964 = -203*i for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 64*n**4\/3 + 16*n**3\/3 - 61*n**2 - 185*n\/3 - 50\/3.\nAnswer: (n - 2)*(n + 1)*(8*n + 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2589098 divided by -5.\nAnswer: -2589098\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122162 = 22*c - 138388 - 80450. What are the prime factors of c?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.203 take away 6.047838?\nAnswer: -5.844838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 18 = 2*c, -1 = -5*x - 5*c - 11. Let y(g) = -g**3 + g - 7. Let n = 6 + -6. Let l be y(n). Put l, 3, x in descending order.\nAnswer: 3, x, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o - 51. Let u(l) = l. Calculate n(u(z)).\nAnswer: -z - 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59460 is divided by 4224?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -1) + (3 - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 675 = -k. Suppose -4*d = -d - k. Let o(n) = -4*n - 12. Calculate the remainder when d is divided by o(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 123\/(-12) + 11 - (987\/(-12) - 1). Let d be 0 + (3 - 0) - 2. Sort -2, c, d in ascending order.\nAnswer: -2, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 333553970 to the power of 1\/2, to the nearest integer?\nAnswer: 18263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 15*q - 44*q + 21.\nAnswer: -29*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -51720.86 and 0.1.\nAnswer: -51720.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 9*t**5\/35 + 4*t**4\/7 - 4*t**3\/21 + 3. Factor s(w).\nAnswer: w**2*(w + 2)*(9*w - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - o**2 + 2*o - 1. Let q be z(0). Which is the second biggest value? (a) -0.4 (b) -4\/11 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13236*k + 2 - 4 + 2.\nAnswer: 13236*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1115 or 3053840\/2739?\nAnswer: 3053840\/2739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 6*m**3 + 0 + 1 - 7*m**3 + 2*m as j + p*m + w*m**3 + u*m**2 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -d**5\/60 + 9*d**2 - 4*d. Let y(l) be the first derivative of j(l). Let i(x) = 8*x**2. Calculate i(y(p)).\nAnswer: 8*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -152 + 185. Calculate the remainder when w is divided by 21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 241*x - 147*x + 25*x.\nAnswer: 119*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 1\/5, 111, 0.5, -251, 4?\nAnswer: 111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v - 4*v + 2*v + 2*v. Let j(a) = -423*a. Determine s(j(f)).\nAnswer: -846*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 4*c = -9*p + 10, -2*c + 40 = 3*p. Suppose -f - 2*j + 51 = 3*j, 4*f - 2*j - 270 = 0. Let n = f - p. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 11:26 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*l + 2*l + 3*l + 5 wrt l.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, r: 1, k: 1}. Give prob of picking 2 d.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 3.6. Let f be 7 + (4 + -3)\/(-1). Let j be (-3)\/(-2)*(-1)\/f. Which is the second biggest value? (a) k (b) 0.2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 495 = -m - 1014, p - 3*m = 495. Does 21 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -603 (base 7) to base 2\nAnswer: -100101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -139902, 0.2, -4\/5, 15, 1\/7, -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 5 = 5*x + 7, 5*c + 5*x = -20 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a kilogram in grams?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.8 in -2\/7, 13, 0.12, -2\/17?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 149.983mg?\nAnswer: 0.000149983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxptxkxn. What is prob of sequence xtk?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1971, 3944, 5917, 7890, 9863?\n\"Answer: 1973*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03834969 times -110?\nAnswer: 4.2184659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = 2*a - 5*n, -6*n = -3*a - 2*n + 90. Let x = a + -10. What is the units digit of 40\/x*(19 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -7*m + 3*m. Suppose 2*g = 4*q + 6*g + 36, 0 = -2*q + 2*g - m. What are the prime factors of 3\/q*6 + 39?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.68 to 1 dp.\nAnswer: 7.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10.9 - -11. Let p(j) = -j**2 - 4*j. Let m be p(-4). What is the third smallest value in o, m, -0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01466*-91.\nAnswer: -1.33406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2412080 divided by -16?\nAnswer: 150755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13241 (base 8) to base 12.\nAnswer: 3429","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = r + 47. Suppose r*l + 3*j = 422, 0 = -5*l + 4*j - 2*j + 427. List the prime factors of l.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000190830364 to 6 dps.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 21*s - 4. What is the tens digit of x(17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((468\/2730)\/(9\/14)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3*n - 25. Let l be m(-9). Solve 0 = l*x - 0*x + 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -16 (b) 1\/7 (c) -15829 (d) 2\/3 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 16.9217 - -0.41\nAnswer: 17.3317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -647 - -650. Suppose a - 31 + 9 = 5*o, 3*o = 4*a - z. Let d(v) = -v**2 - 3*v - 4. Determine d(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 128.01 to zero dps.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.303982 nanometers in centimeters?\nAnswer: 0.0000000303982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-3\/11))**(-14\/9)*k\/(k\/(k\/(k\/(k\/((k**8\/k)\/k)))*k))*k**(-6\/5)\/k)**(-5\/7) assuming k is positive.\nAnswer: k**(953\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 23 = -5*a, f - 18 = -15 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3109)\/(-7))\/((-20)\/(-140)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f**2. Let p(y) = -52704126*y**2. Give p(q(z)).\nAnswer: -474337134*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 9, x: 10}. What is prob of sequence xttx?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 70 + 22 + (4 - 4 - 2)*(-2 + 5 + 0))*(-i + 2 - i + i) to n*i + p and give n.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5535 - -6036. Which is greater: 0.6 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 33 = -13, 2*o - 3*n = -8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 3) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7426.496l in millilitres?\nAnswer: 7426496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 261877.\nAnswer: 7, 11, 19, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 7:16 PM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -2. Let t = j + 0.4. Let d = -4580.4 - -4580. What is the closest to t in d, 0.1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43 + 130. Suppose -67 = -5*s + c, 2*s - 5*s + c = -41. Let w(y) = -y**2 + 13*y + 29. Let o be w(s). Calculate the greatest common divisor of k and o.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 341?\nAnswer: 68.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hdh when three letters picked without replacement from {x: 6, h: 3, d: 2, l: 4}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 10*t**2 - 9*t. Let m be r(-9). Suppose 5*o - 5 = 5. Let y be o\/9 - (-50)\/18. Put -5, y, 12, m in decreasing order.\nAnswer: 12, y, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -13. Let z = 0.05 - 0.15. Let x = z + 0.2. Which is the nearest to x? (a) 1 (b) i (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 3*b + 5*m, -m - 12 = -5*b - 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 237086.\nAnswer: 71125.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1723 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 8. Let b be 1 + j + (-6)\/(-2). Suppose -b*g + 6 = -g. Solve -3*a + i + 12 = 0, -g*i + 3*i = a - 2 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6 - -6) + (-10)\/(-2). Let v = 1225 - 577. Suppose -f - v = -3*o, -238 = -3*o + t*f + 398. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 159363 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/5712 and 32\/105.\nAnswer: 28560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51 + 110. Let z = 58.475 - q. 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: Let o = 5 - 3. Suppose o*z + 15 = -17. Is 10 a factor of (-78)\/(-8) - 4\/z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 197*k + 3765. Calculate c(-17).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4189121774399 less than -0.01?\nAnswer: -4189121774399.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 10:58 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -4*h**2 + 17*h + 5. Let q be k(0). Solve 3*i - 42 = 4*n - 65, 0 = -4*i - q*n + 21 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = 25, 2*g - 60*o + 56*o = -16 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llw when three letters picked without replacement from lwlwlllllw.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of 6*q**2 + 0*q + 1 + 0*q**4 + 1\/10*q**5 + 0*q**3. Let c(r) = -2*r. Give c(o(s)).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 4966*n - 2580*n - n**2 - 2562*n in the form l + b*n + k*n**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 461\/7, -1, -0.4, 3, 0.62?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.4, 1.2, -17005 in ascending order.\nAnswer: -17005, 0, 0.4, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 115104 (base 6) in base 10?\nAnswer: 10192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 0.0772.\nAnswer: -0.02316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 8*m**2 - 10*m - 4. Let h be j(-9). Let d be (-2)\/4*(-5 + h). Suppose d = 9*n - 13*n + 4. Let b(z) = -6*z. What is b(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b - 23d89?\nAnswer: -23d96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**2 - 68*i - 118*i + 186*i. Let o(f) = 93*f - 46*f - 41*f - 1 - 6. Calculate m(o(b)).\nAnswer: -72*b**2 + 168*b - 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -16. Let s = -11974 + 11974.1. Let j = -3.6 + 4. Which is the nearest to s? (a) w (b) j (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(640)\/sqrt(5))\/(sqrt(484)*-2) - 3*sqrt(16)\/(sqrt(8) - -2*sqrt(288))) + -3.\nAnswer: -3 - 59*sqrt(2)\/143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (((-15)\/(-8))\/15)\/(3\/(-4))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000147044 rounded to 5 decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 - 19*c + 102. What is w(9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22515 and 1705440.\nAnswer: 134729760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 24494498 to the power of 1\/3, to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3798536 and 10962.\nAnswer: 102560472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 27\/45 - (-8)\/(-30). Sort -0.03, -9, -0.5, t.\nAnswer: -9, -0.5, -0.03, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 181.93 times 0.1\nAnswer: 18.193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9378 - 8897. What is the third biggest value in 4, -3, c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -6. Suppose 2*x = g + 11, -t*g + 4*g + 16 = 2*x. Suppose 3*z = 4*b + 8 - 7, 2*z = b - 1. Put b, g, 5 in descending order.\nAnswer: 5, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 45, 2*w - 3*u + 377 = 334. Sort 26, -4, w in ascending order.\nAnswer: w, -4, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 93, 208, 323, 438?\nAnswer: 553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 410\/18 + (-2)\/(-9). Let f = -17 + o. What is the second derivative of -a**3 + 6*a**3 - f*a - a**3 + 0*a**3 wrt a?\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 302, 611, 920, 1229?\n\"Answer: 309*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -12*o + 31 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 506 - 498. Let f(h) = -h**3 + 7*h**2 + 9*h. Calculate f(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3510 and 1560?\nAnswer: 14040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000156843884 rounded to six decimal places?\nAnswer: -0.000157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 54729 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -3 (c) -0.1 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (170\/5 - -1) + -4 + 4. Suppose -x + p = 4*x. Calculate the remainder when x is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000490952052 rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -86 + (-987 - -979) + (0 - -23).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 22 - -12) + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*y - 1)*(-2 + 5 - 2) - 2*y + 3*y - 2*y + 69 - 69 - 10*y + (14 + 4*y - 15 + 0*y)*(0 - 3 + 2).\nAnswer: -13*y + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**2. Let m(p) be the third derivative of -17*p**5\/60 - p**4\/24 - p**3\/6 + p**2 - 21*p - 17. Calculate 18*f(z) - 2*m(z).\nAnswer: -2*z**2 + 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2516, 5760, 9004?\n\"Answer: 3244*p - 728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1431 + -2781. Let i = g - -2888. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/16139 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-380)\/499605)\/((-2)\/3). Is -1 less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*2\/2)\/(23\/(-69)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 651*v = -840*v - 55167 for v.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1387 divided by 84176\nAnswer: -1387\/84176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i + 5258. Let u(t) = -5*t**2. Give u(g(o)).\nAnswer: -5*o**2 + 52580*o - 138232820","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 16) + -3 + 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, f: 1, p: 1, v: 2, y: 2}. Give prob of picking 1 f and 1 p.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-6)\/90*3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 2*z**2 - 2*z - 2. Let s be (12\/(-10))\/(4\/10). What is the units digit of p(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2)\/(-8) + (6310\/40 - 1) is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -11 + (-97 + 0)*(-44)\/396. Sort -1, s, -23, 1\/4 in decreasing order.\nAnswer: 1\/4, s, -1, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -7*h**3 - 9*h**2 + 7*h - 2. Let j(z) = 287*z + 278. Let p be j(-1). Let d(a) = -3*a**3 - 4*a**2 + 3*a - 1. What is p*d(u) + 4*t(u)?\nAnswer: -u**3 + u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/13, 41568, -4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14329148?\nAnswer: 2, 43, 227, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 3*f + 8. Let b = 158\/33 - 2120\/429. What is the nearest to -3 in f, b, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2277 (base 11) to base 7\nAnswer: -11466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from awiwag. What is prob of sequence iaa?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 4*q**2 + 3*q. Suppose 3*a = 3*z - 0*a, 2*a - 4 = z. Suppose 0*u = -3*u - 15, -z*h + u = -17. What is the tens digit of w(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 71989 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 450*l**2 - 126*l - 126. Let v(x) = -5 + 18*x**2 + 0*x + 0 - 2*x + 0*x - 3*x. Give 5*r(o) - 126*v(o).\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27*90\/(-945))\/((-3)\/(-7))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1175 + -1166. Calculate the remainder when 232 is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -336, -337, -338, -339, -340, -341?\n\"Answer: -g - 335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 477, 1004, 1555, 2130, 2729?\n\"Answer: 12*r**2 + 491*r - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2689 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a tonne in kilograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*i + 23*i - 13*i + 4*i.\nAnswer: 111*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4486 - -4936. Calculate the smallest common multiple of j and 50.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 31*d - 63. Let g(f) = -4*f**2 + 2*f**2 - 3*f**2 + 4*f**d. Let o(l) = 6*l**2. What is o(g(b))?\nAnswer: 6*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6276 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(56) - sqrt(1400))*3)\/(-5*sqrt(32) + sqrt(8)) + -3 + -2*(sqrt(252) + sqrt(252) + 0 + sqrt(252))).\nAnswer: 18 + 208*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7790?\nAnswer: 2, 5, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 46*g - 48*g, 0 = u - g - 3 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -102?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 73, 0, -0.1, -242022, 1\/4, 0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -129104\/4703 or -26?\nAnswer: -129104\/4703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -t**3\/6 + 8*t**2 + 674*t. Calculate d(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*w = -40*w - 280. Suppose 0*y = -y + 2. Sort -6, w, y.\nAnswer: -6, w, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2323, 2331, 2349, 2377, 2415, 2463?\n\"Answer: 5*m**2 - 7*m + 2325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 4:57 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -424, 3, -5, 9 in descending order.\nAnswer: 9, 6, 3, -5, -424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 19916 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: Calculate (2 - (-99)\/(-45))\/(2\/(-20)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 11198?\nAnswer: -111a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -15403100?\nAnswer: 15403065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3 - 4476*p**2 + 75*p + 111900.\nAnswer: -3*(p - 5)*(p + 5)*(p + 1492)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/36 and 83\/162?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2 - 64*p + 45. What are the prime factors of d(34)?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2*o - 4*o = -10, -11 = 5*v - 4*o. Suppose -3*d + 2 = -v. Let k(y) = 1 + d + 2 + 3*y - y**2. Give k(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4064 a factor of 83088480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/27, 1\/3, 0.3, 1 in ascending order.\nAnswer: -1\/27, 0.3, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20072847.\nAnswer: 3, 6690949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6144*n**3 + 89*n - 6155*n**3 + 12297*n**3 - 2*n**2.\nAnswer: -2*n**3 - 2*n**2 + 89*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 130, 386, 872, 1666, 2846, 4490, 6676?\nAnswer: 9482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 530075731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - (35 + -16)) + 1 + -9.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -88951\/18 + 14804\/3. What is the common denominator of s and 121\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7953.\nAnswer: 3, 11, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*f = -3*f + 85, g = -4*f + 10. Suppose 5*t - g - 75 = 0. Suppose -m + 0*l + 2*l = -11, 0 = -3*m + 2*l + t. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w + 945 = 87. Let j = w + 155\/2. What is the third smallest value in -1\/4, j, 3, -3\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -718 + 872. Calculate the greatest common divisor of n and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 5*z**3 - 4*z**2 + 17*z - 14. What are the prime factors of g(4)?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qoo when three letters picked without replacement from {q: 4, d: 4, o: 9}?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2394\/(-2793)*2*(-7)\/(-16). Let n = 0.27 - 0.47. Which is the nearest to -0.2? (a) -1\/3 (b) n (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29473*d**2*k + 2*d**2 + 5*d*k - 20*d + 26*k - 2 wrt d.\nAnswer: 58946*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -13513377\nAnswer: 67566885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6 and -0.1957.\nAnswer: -6.1957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + v = f + 7, -2 = 2*v + 2*f. Let y be (2 + 14\/(-6))*v. Is y < 4\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/(-3))\/(20\/48). Let u = -1.03 + 0.93. Which is the nearest to 4\/5? (a) u (b) -1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1957.7965584 - -1957.8. Round r to four decimal places.\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3151 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*c**2 + 51*c**2 - 27*c**2.\nAnswer: 72*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 370 - -2182?\nAnswer: 2562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6a66a225 - 4?\nAnswer: -6a66a229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10268 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 9*j + 38448 = 0. Suppose 967 - j = -w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14285, -28588, -42913, -57260, -71629?\nAnswer: -86020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18988*a**2 + 3201 + 11525*a**2 + 11612*a**2 wrt a?\nAnswer: 8298*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (13 + -20 - -2).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -47*q**2 + 208*q - 605. What is j(3)?\nAnswer: -404","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 3*n**2 - n**2 - 5 - 6*n**2 + 2*n. Let w(m) = m**2. Let v(p) = -f(p) - 4*w(p). Suppose 0 = -a - 1 - 3. Calculate v(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-6*sqrt(1216)*-3)**2 - 3*(sqrt(1216) + -3 + sqrt(1216))**2).\nAnswer: 864*sqrt(19) + 1138095","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27979565?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2067.3 times 1388?\nAnswer: -2869412.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 4*y**2 + 5 + 12 - 3*y**2 in the form t*y**2 + z + o*y and give z.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 4*s = -20*a - 585, -a + 26*s - 21*s = -a - 25 for a.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*u = 57*u + 15906. Let f = 2 - -3. Suppose 16 = -f*j + 6, 5*c - 4*j - u = 0. List the prime factors of c.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 2*u - 6913, 5*w - 3*u = -4*u + 6909. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -43, -81, -125, -175, -231, -293?\n\"Answer: -3*x**2 - 29*x - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31291988573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 27*d + 31*d = 19, 2*q - 46 = 4*d for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a - 6. Let p be j(6). Suppose p = -3*k + 5*k - 4. Suppose -4*q + 16 = -0*i - 5*i, 4*q - k*i = 4. Let n(t) = -4*t**2 - t. What is n(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 3*c**2 - 3*c - 1. Let g be j(-2). Suppose -o - g = 3. Let p be (-2)\/(-8) + (-42)\/(-24). Sort o, 1, p in descending order.\nAnswer: p, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 13. Let m = 5255 + -5257. Sort 0, m, y in descending order.\nAnswer: 0, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + p + 1. Let i be w(1). Let a be i\/(24\/(-26) - -1). Suppose -3*j + a = -5. Solve -j*f + 16 = -2*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 1. Let d = 7 + y. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p - 57 = -16*p. What is the remainder when 56 is divided by p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4*1*(-15)\/(-2). Suppose 2264 = 170*h + 224. Solve 2*c = h*c - g for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63 (base 11) to base 8\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 1\/2 (c) -5 (d) 33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 156 = -s - 4*q, -122 = -3*s - 2*q. Is s a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0826 rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32 - 4. Let p = 30 - u. Let m(j) = -7*j + 7*j - p*j. Let d(x) = 9*x**2. What is d(m(f))?\nAnswer: 36*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -389, 22 in increasing order.\nAnswer: -389, -6, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1007 + -1007.3. Which is the second smallest value? (a) -133 (b) o (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/4950 and -187\/180?\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -731.6705\nAnswer: 146.3341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -5*f**7\/14 - 6*f**6\/5 - 3*f**5\/5 + 5*f**4\/2 + 9*f**3\/2 + 3*f**2 + 2*f. What is h in q(h) = 0?\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238 is divided by 42?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 209045\/18 + -11620. Calculate the common denominator of b and 19*3\/14 - -1.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9054 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7414*b**3 - 1350*b**3 - 538*b**3 + 289*b**3.\nAnswer: -9013*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 34 + -158?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 155 and 9083.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23904809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210 + 288 = -26*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6 - 20)*1\/2. Let u(j) = 2*j**2 + 6*j + 14. Let n be u(y). Calculate the greatest common factor of 10 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 14285?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46 - -38) + -40 + 33?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -615198\/11 + 679177679\/12144. Find the common denominator of 3\/32 and w.\nAnswer: 2208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -r**3\/6 - 3*r**2 + 2*r. Let v be q(-6). Is (-1 + v)\/(1\/(-19)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(272) + sqrt(272)*-1 + -1 - (-4 + sqrt(272) + 1)) + 3 + sqrt(272)*-1 + sqrt(272) + (sqrt(272)*2 - sqrt(272)) + 0 + -3)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72312)\/(-42182))\/(8\/70)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110 (base 9) to base 3.\nAnswer: -10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, 0, -4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2 + 7467*o - 22428.\nAnswer: 3*(o - 3)*(o + 2492)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 - -26. Suppose -5*w = 4*h - 0*h - 19, 3*h = -3*w + 12. Let f = -502117 + 502122. Solve o - w*o + 3*d = 17, d = f*o + b for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (2 + -5)) + (4 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 33 + -116385?\nAnswer: -116352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-120)\/(-3) - (1 + 1). Suppose 3*j - f = -2. Solve j = -2*l + 2*v, 4*v = -4*l - l - 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 3*t - 2, 0 = 2*k - t for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 1340 - 112. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 49.49114 millennia?\nAnswer: 4949.114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 11*m - 11. Let w(n) = -2*n**2 + 17*n - 17. Let h(i) = -8*f(i) + 5*w(i). Let s be h(-3). Is (-62)\/(3\/(9\/s)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -1, -345*b + 3 = 5*x - 342*b for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 + -26. Suppose -d - 112 = -5*d - 2*i, j*d = -3*i + 140. Let b = d - 6. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 divide 886779720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6318 is divided by 2858.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 1:01 PM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 4:27 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of 29*f**6\/120 + 4*f**4\/3 - 8*f**2 - 13*f. Let x(u) be the first derivative of k(u). Find the second derivative of x(l) wrt l.\nAnswer: 174*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 62 + 0*a - 2*a**2 - a + 52. Let b(k) = 2*k**3 - 5*k**2 - 2*k - 19. Let s(n) = -4*b(n) + 7*y(n). Determine s(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2873671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5024343165\/1928 + -2605987. Let r = k - -3\/482. Let t = 7 + -5. What is the third smallest value in 0.4, r, t, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1694500988 to the power of 1\/2, to the nearest integer?\nAnswer: 41164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 197 (base 11) to base 5\nAnswer: 1402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 10:43 PM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -13*g + 1 + 0*g**2 + 107\/10*g**5 + 134\/3*g**3 + 0*g**4. Find the second derivative of v(i) wrt i.\nAnswer: 1284*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 1153*f**2 + 5*f + 2. List the prime factors of l(2).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -29*p - 14. Let k(a) = -10*a - 5. What is -17*k(f) + 6*l(f)?\nAnswer: -4*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*x + 16*x - 441. Does 21 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zhs when three letters picked without replacement from shhsssshshhhhzhhssss.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of 0*g**3 + 0*g**7 - 8\/45*g**5 - 56*g + 1\/15*g**6 + 1\/6*g**4 + 0 - 1\/252*g**8 - g**2. Determine v so that l(v) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 6:00 PM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14\/13, 37, -1\/3, -4, -6, -2 in descending order.\nAnswer: 37, 14\/13, -1\/3, -2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in -4\/9, -0.5, -3\/5, 3?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of 3*g - 6 + 1\/2*g**2. Give o(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + (sqrt(84)\/sqrt(972))**2 - ((sqrt(112))**2 + 3).\nAnswer: -9308\/81 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.4356 - 1.13564. Let w = l - 0.3. Round w to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448)*6)\/(-5*-1*sqrt(4)))**2.\nAnswer: 4032\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3.41081 times -1\nAnswer: -3.41081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/252 and -19\/21.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 454, 3\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of 2*c**3\/3 - 7*c**2\/2 - c. Let r be z(5). Solve -u - 2*o = 8, 5*u + 3*o = -r + 1 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -106*k + 36*k + 3*k**3 + 29*k + 24*k - 1 to the form b*k**3 + w*k + p + i*k**2 and give w.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert aea14 (base 15) to base 13.\nAnswer: 165c76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*n**3 - 106*n**2 + 211*n + 1 wrt n.\nAnswer: 12*n - 212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -746086*d**3 - 99335*d**2.\nAnswer: -4476516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1376 or 1384?\nAnswer: 1376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 12, -5, 41, 11 in increasing order.\nAnswer: -5, 4, 11, 12, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -20 + 6 + -2 + 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 13\/5 of a millennium?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000010110111100 (base 2) in base 10?\nAnswer: -34236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -55 by -8938.\nAnswer: 55\/8938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -21\/8 (b) 5 (c) -1\/7 (d) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5769 by 3.\nAnswer: -1923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6332, 5978, 5380, 4532, 3428, 2062?\n\"Answer: -l**3 - 116*l**2 + l + 6448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1045938.449 rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.8 (b) 4 (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6941*j**4*w**2 + 2*j**2*w**2 - 3188*j*w**2 wrt j?\nAnswer: -166584*j*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*a - 80 = -43*a. Solve -5*w + 4 + a = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-4\/5)*x**(-4))**(-12))**50)**(-2\/83) assuming x is positive.\nAnswer: x**(-5760\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**2 + 9*k - 12. Calculate v(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/1947 and -25\/767?\nAnswer: 25311","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 672?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 0. Let h be q\/(-14)*25 - -3. What is the closest to -1\/2 in -0.3, 3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(325) - ((sqrt(104)\/sqrt(2))**2 - sqrt(13)))*5.\nAnswer: -250 + 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oonqooopoqunaoaoq. Give prob of picking 2 o, 1 p, and 1 n.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 8 = -4*w + 32, -2*i + 13 = w. Suppose -5*a - 4*q = -q - 710, 5*a - 675 = i*q. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from ttttttbtbtttbttt?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t**2 - 11*t + 12. What is the tens digit of b(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 10:26 AM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -93*((-12)\/(-3))\/(-12). Let t = i + -36. Let b = 11 + -11. Put t, b, -1 in increasing order.\nAnswer: t, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2464 times -0.8242?\nAnswer: -2030.8288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 8*b - 73. Give p(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*m**3*n**2*z**3 + 3*m**3*n**2*z - 4*m**3*n + 124*m**3*z**2 + 612*n**2*z**3 wrt z?\nAnswer: 66*m**3*n**2 + 3672*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 13549.\nAnswer: 4064.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87123.82l to millilitres.\nAnswer: 87123820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124\/(-6)*8994\/(-5996).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.09 + 0.29. Let l = 2088 - 2086. What is the fourth smallest value in z, -0.3, 1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5402*q**2 - q + 0 + 0 + 1 + 5 - 5356*q**2 in the form d*q**2 + p*q + i and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 2:25 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(112))**2 + -3 + (2*sqrt(70))\/sqrt(10) + -6*sqrt(112) + -3)*4.\nAnswer: -88*sqrt(7) + 420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*v + 38*v + 204*v**3 - 167*v**3 to the form o + f*v**3 + s*v + l*v**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 1:42 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 - -28. Let b be (-177)\/(-18)*-2 - (-4)\/u. Let k be (2\/5 + 0)*-10. Sort b, -1, k.\nAnswer: b, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 6048?\nAnswer: -1\/3024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 9636+595768\nAnswer: 605404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dh when two letters picked without replacement from {n: 1, y: 2, d: 11, h: 1}?\nAnswer: 11\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/3 (b) 5 (c) 10 (d) -1\/4 (e) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5 - ((-11)\/(-44))\/(30\/(-408))\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(171) - (3 + sqrt(171) - sqrt(171)))*4*-4)**2*5*2 + -2).\nAnswer: -460798 + 46080*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(931)*-1*-4*-5 + 2 + 2*(-2 + sqrt(931)) + -1.\nAnswer: -406*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 3:21 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44)\/((-2816)\/(-136)) - -2*1.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**2. Let n(l) = -l**2 + 3. Calculate m(n(c)).\nAnswer: 2*c**4 - 12*c**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3976*x + 58272 + 24736 + 73187 = -70437 for x.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004802 rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -4*j**3 - 3*j**2 - j - 7. Let k(q) be the first derivative of -11*q**4\/4 - 10*q**3\/3 - 2*q**2 - 20*q - 6. Let o(b) = -3*k(b) + 8*y(b). What is o(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1817373 millennia to months.\nAnswer: 2180.8476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -68.4 or 0.09403?\nAnswer: -68.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -9579, 4, 3 in descending order.\nAnswer: 5, 4, 3, 0, -9579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 104*v**2 - 2*v - 1. Let i be z(-2). Suppose 2*h - 4*h + i = -5*b, -5*b + 3*h = 421. What is b rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2392, -2379, -2352, -2305, -2232, -2127?\nAnswer: -1984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17212? (a) 5 (b) -0.098 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 297302429*l*v**3 - 4800*l*v**2 - 1532*l*v + 2*v wrt v.\nAnswer: 1783814574*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -t**5 + 93*t**3*y + 606*t**2 + 8953*t*y - 2*t + 12*y - 32 wrt t.\nAnswer: -20*t**3 + 558*t*y + 1212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 396388.\nAnswer: 2, 41, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5917 and 5626.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 444205024?\nAnswer: 2, 13881407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cwcckcpccpwpfcfff. What is prob of sequence ppw?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4599 + 204*n - 204*n + 9542 - 33*n**2 - 4943.\nAnswer: -33*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4d + 1032d?\nAnswer: 1037a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-826)\/(-118)*1\/(-1)*-1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q**2. Let c(v) = 7*v + 517. Calculate c(n(x)).\nAnswer: 21*x**2 + 517","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 2405441?\nAnswer: 2405441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 c when two letters picked without replacement from ccddc.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 163392 divided by 9.\nAnswer: 54464\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + -10. Suppose -4*q - 2*r + 34 = -30, g*q - 37 = 4*r. What is the highest common factor of q and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c + 5 + 1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 133 and 64581?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1855 and 38584.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-105)*(-6265)\/(-358).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, -3, -10, -21, -2, 5, -11 in increasing order.\nAnswer: -21, -11, -10, -3, -2, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*(a\/((a*a*a**(-4\/17))\/a))\/a*a**11 assuming a is positive.\nAnswer: a**(191\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -321*d + 17. Let b be i(-5). Suppose 6703 + b = 5*t. Suppose 2 = n, 5*k - 2*n - t = 3*n. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -2*i + 12, -3*m - 7*i + 11 = -6*i. Let t be (-2 + (-50)\/(-20))\/(m\/8). Let c(g) = -g**2 + 5*g - 2. Calculate c(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 12. Suppose 18 = -0*c + 3*c. Suppose -7*i**2 - 4*i**3 + i**2 + 4*i - i**h + i**2 - c*i = 0. What is i?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, m: 6, z: 7, r: 3}. What is prob of sequence zrr?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 4*(-2*sqrt(24))\/sqrt(12) - ((sqrt(2) + 5)*3 + sqrt(4)\/sqrt(2)*2).\nAnswer: -19 - 13*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3190163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4\/5 - 61\/45. Let a = -53\/9 - q. Find the common denominator of a and (-3)\/(-9) + -6 + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (468\/819)\/(2\/(-14))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**2 + 84*n**2 + 8*n**2.\nAnswer: 89*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -92 at least -91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113 + 20 = -31*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 + 38. Suppose 5*k - m*k + 14 = 0. Factor 0*a - 2\/5*a**5 + 0*a**k + 4\/5*a**4 + 0 - 2\/5*a**3.\nAnswer: -2*a**3*(a - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7335 - 28729 - 162 + 491 - 21163)*(-3 + 2*p + 3).\nAnswer: -84456*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 18816187 to the power of 1\/2, to the nearest integer?\nAnswer: 4338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 438 + -414. Suppose p*x = 9*x + 45. Solve -5*m + 3 = 4*a - 3*a, -5*m = -x*a + 9 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 16) in base 5?\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 12:56 PM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 704 - 3503\/5. Sort u, 0.2, -4 in descending order.\nAnswer: u, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -2*c + 32 + 22, 2*c + 282 = 10*f for f.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = h - 8 + 26, 4*x - 8 = 0. Let u = h + 41. Let u*q**4 - 12*q**4 + 2*q + 3*q**2 + 17*q**4 - 17*q**2 + 16*q**3 = 0. Calculate q.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27 - -11) + 23 + 11?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from guggggvkgugvgkgvgu. What is prob of picking 3 g?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63 and 78415323.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 720756735.\nAnswer: 3, 5, 17, 19, 148763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -83 - 2*z**2 + 45 + z**2 + 45 + z**3. What is v(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 449325 is divided by 127?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 18 - 8 = 0. Calculate the remainder when 93 is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1686 and 18.\nAnswer: 5058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of 7*n**3\/6 + n**2\/2 + 3*n. What are the prime factors of g(2)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 10*b**2 - 14*b - 3. Suppose -3 = -2*w + 7. Calculate the remainder when (-1 - 97)\/(w + -7) is divided by c(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s + 20*s - 11 = w, 5*w - 55 = -2*s. Solve 4*j - 23 = -u, 10*j - w*j = -3*u + 14 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -1. Let f = -82 - 242. Let h = -324.3 - f. What is the closest to -0.4 in h, d, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 265\/4*n + 5\/4*n**4 + 75\/4*n**3 - 255\/4*n**2 - 45\/2.\nAnswer: 5*(n - 1)**3*(n + 18)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*m + 500 = -189 + 137 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((-19)\/(152\/64)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 5*s**3 + s**2 - 15*s - 4. Let p(u) = -u**3 + u**2 + u + 1. Let r(w) = h(w) + 3*p(w). Let z be r(4). Let m = 209 - z. What are the prime factors of m?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 83166 and 332.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -340 (base 7) to base 9\nAnswer: -214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 319614*q**2 - 159609*q**2 - 159723*q**2.\nAnswer: 282*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -4*p + 5*m, 0 = 5*p + 4*m + 3 - 1. Is ((-2)\/4)\/((-88536)\/(-44272) - p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**3 - q**2 - 2. Let k(a) = -292*a**3 + 6*a**2 - 162*a + 10. Let f(b) = -5*d(b) - k(b). Find the second derivative of f(i) wrt i.\nAnswer: 1812*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 128 and 404.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6404 - 6413) + 25 + 4 + -1.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 166\/53, 4\/7, 0.1, -4\/5 in descending order.\nAnswer: 166\/53, 4\/7, 0.1, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*l - 12*l**2 - 37*l + 2*l + 15*l**2 - 5*l as w*l + s*l**2 + z and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -2\/13 (b) -5 (c) -3\/8 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 7501960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**3 + 19*y**2 + 10*y + 17. What is the remainder when z(-8) is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115535*j + 115379*j + 5460 = 0 for j.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.37 + -3.07. Let f = -2.7000034 - b. What is f rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 787 <= 762?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -16. Let r(p) = -p**2 + 3*p + 12. Let w(s) = s + 1. Let c(g) = -r(g) + 6*w(g). What are the prime factors of c(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8.3*980\nAnswer: -8134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -9. Calculate the least common multiple of 41 and j.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ms when two letters picked without replacement from {s: 3, n: 5, u: 3, b: 1, m: 2, c: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-80)\/32*(-1 - 1). Suppose r - 1933 + 400 = -5*a, -y*a = 3*r - 4629. Suppose 0 = 4*f + 8*f - r. What are the prime factors of f?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -2*g - 3*j, -5*j + 68 = 2*g - 0*j. Let v = g + -14. Let s = 6 - v. Sort -3, 2, s.\nAnswer: s, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 12:15 AM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -18*r + 10. Let h(g) = 6*g - 3. Let a(i) = 2*c(i) + 7*h(i). Let k be a(2). Solve -5*f + k = 3*s, 0*f = 2*f - s for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 342747 is divided by 684?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, x: 1, d: 1, l: 1}. Give prob of sequence xd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -4*v - 8, 5*w - 14 = -4*v + 8*v for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.61334077 to 3 decimal places.\nAnswer: -9.613","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/(4*sqrt(10)))\/(sqrt(2) + sqrt(2592))*-3.\nAnswer: -3*sqrt(7)\/148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011 + -1111000001?\nAnswer: -1110101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**3 + 4*n**2 + 12*n + 13. Let c(g) = 2*g**3 + 2*g + 2. Let i(p) = 5*c(p) - f(p). Let b(x) = x**3 - x**2 - x - 1. What is -3*b(k) + i(k)?\nAnswer: 5*k**3 - k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -3ab6b?\nAnswer: 3ab6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*s - 332 = 3*s - 132 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 162*x**4 + 7379 + x**3 + 34*x**4 - 106*x**4 + 239*x**4 with respect to x.\nAnswer: 1316*x**3 + 3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -0.07 (b) -118.1 (c) 0 (d) -2\/7 (e) -6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 4*u**2 + u - 2. Let l(q) = 3*q**2 + q - 1. Suppose 3*p - 9 = 26*d - 27*d, -5*d = 3*p - 21. Determine d*l(b) - 2*m(b).\nAnswer: b**2 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23707.07nm to kilometers.\nAnswer: 0.00000002370707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1100.4358 to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -x - 4*i + 25, 3*x = -i + 271. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**3 + 666*t**2 - 1984*t + 1320 = 0. Calculate t.\nAnswer: 1, 2, 330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -16, 0.8, 0, 0.3, 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1095*m**4*q**2 - 2*m**3*q**3 - 644*q**3 wrt m.\nAnswer: 4380*m**3*q**2 - 6*m**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002061206 to seven dps.\nAnswer: 0.0000206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -42245652?\nAnswer: -42245645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**2 + 17200*d + 8492820.\nAnswer: -5*(d - 3878)*(d + 438)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/120 and -107\/208.\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nea when three letters picked without replacement from {e: 1, d: 1, u: 5, n: 1, a: 6}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 (base 2) in base 16?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.5 + -1.2. Let m = -1141 - -1140.8. What is the closest to -1\/4 in 6\/7, m, w?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3353, -6706, -10059, -13412, -16765?\n\"Answer: -3353*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 600*r - 404659 = -129*r - 460792 for r.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q**3 - 6*q**3 + 3*q**3)*((-1 + 6 - 3)*(3 - 14 - 2)*(q + 7 - 7) + 0*q + q - 2*q).\nAnswer: -27*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3.298 * 22\nAnswer: -72.556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*i**5\/8 + 109*i**4\/4 - 341*i**3\/8 - 571*i**2\/4 + 321*i\/2 + 135 = 0. What is i?\nAnswer: -45, -2, -3\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 4*l - 130. Let a be o(33). What is the derivative of 7621*x**2 + 0*x**3 - 7621*x**a + 28*x**3 - 98 wrt x?\nAnswer: 84*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - 6*a - 3. Let l be g(-4). Suppose -l*r + 45 = 5*k, k + 5*r = 6 + 15. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -198367541.0000235 + 198367435. Let w = 106 + s. Round w to 6 dps.\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -22*r**2 - 172*r + 33. Let a be y(-8). Which is bigger: -4\/35 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25554293 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0296469 rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*a = 108. Let z = a + -46. Let b = z - -28. Calculate the smallest common multiple of 4 and b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -85, -174, -301, -466, -669, -910?\nAnswer: -1189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.86251948 rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 459*z**5 + 3161*z**2.\nAnswer: 27540*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 25, 0.06, 5\/4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8269618.52 rounded to the nearest ten thousand?\nAnswer: 8270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -f**5\/60 + f**4\/12 - f**3\/6 - 2*f**2. Suppose j(z) = 0. Calculate z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*f + 33*f = -3267. What are the prime factors of (2290\/(-3))\/((-242)\/f)?\nAnswer: 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2058*q + 1389*q - 13380 = 0 for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002 + 0?\nAnswer: -1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 15*r - 35 = 0. Let x = 6 + -1. Solve -10 = -x*i - w, -r*i - 6 = 4*w - 1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**3 + f**2 + 3*f + 4. What is s(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53113.\nAnswer: 53113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 7 (b) 1\/6 (c) 3\/8 (d) -0.085 (e) -0.3 (f) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6458.\nAnswer: 2, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*x + 36 - 36 + (4 - 3 + 2)*(4*x - 3*x + 0*x) + (x - x + x)*(-5 + 1 + 2) - 3 + 3 - x.\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 + 826 = -17*k + 143*k. Let a be (-2)\/8 - (-489)\/(-12). Let f = a + 59. What is the greatest common factor of f and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/18 - (-32)\/18. Let a = 3 + y. Suppose -6 = -a*z + 9. Solve 4*o - z*o = 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*y - 7*y + 183760. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-7))\/((-4136)\/(-1743126)). Let i = 723\/4 + c. Is i at least as big as 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fdmmdefg. What is prob of sequence ded?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 5*h**2 + 64*h - 54. Calculate d(-15).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 10*u + 171. Calculate n(-23).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 4*w**2 - 64*w + 145. Determine l(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 833*z**2 - 2*z + 2. Let k(m) = -278*m**2 + m - 1. Give 3*i(b) + 8*k(b).\nAnswer: 275*b**2 + 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/(-6) - 3\/(-9). Let m = 0.0217 - 62.4217. Let g = m + 62. Sort n, g, -9, 2\/5 in decreasing order.\nAnswer: n, 2\/5, g, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 + -29. Let i(x) = 2*x - 4. Let s be i(r). Suppose 5*y - 150 = 5*z, -s*y + 0*z = z - 60. List the prime factors of y.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -66*w + 145. Let s(q) = -64*q + 149. Give -8*s(z) + 9*v(z).\nAnswer: -82*z + 113","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 948*u**2 - u**3 - u**3 + 950*u**2 + 912*u**2 - 2810*u**2.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 536 + -359. Let t = 179 - m. Let h(o) = o**3 + 4*o**2 + 2*o - 4. Let a be h(-3). Put -11, a, t in ascending order.\nAnswer: -11, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -553*y**2. Let l(b) = -3*b - 6. Determine i(l(a)).\nAnswer: -4977*a**2 - 19908*a - 19908","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*g - 19*g + 14*g**3 - 32*g**2 + 19*g**2 wrt g?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296 less than or equal to 295?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -1191 (b) 21 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - -12) + 17 + 10 - -43.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.15 (b) 1 (c) -23 (d) 2 (e) 51\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -294*k - 274*k - 275*k - 274*k + 1034*k.\nAnswer: -83*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-6))\/(66\/24)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17.3 - 20. Let s = 34.7 + d. Let u = s - 31.999963. Round u to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 787042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 bigger than 29\/54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/2 - (-1 + -4). Let u = -5 + w. Solve 0 = -4*m - q + 4*q + 20, -4*m + u*q = -20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3 - -1)\/((2\/798)\/((-3363)\/(-531)))?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 3*i + 11 + 6, 0 = 2*p + 5*i - 30. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45574.\nAnswer: 2, 22787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -252 (b) 9 (c) -10\/21 (d) -0.11 (e) -0.2 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l + 3*i - 1, -4*l + 3*l - 11 = 2*i for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 231, -128, -489, -852, -1217?\nAnswer: -1584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 + 2*k**2 - 3*k**2)*(-2*k**2 + 2*k**3 + 2*k**2) + (4*k**3 - 4*k**3 - 2*k**3)*(-2 - k**2 + 2) - k**5 + 6*k**5 - 4*k**5.\nAnswer: -5*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of 51*x**4\/4 + 114*x**2 + 277. Find the second derivative of r(u) wrt u.\nAnswer: 306*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(77)\/sqrt(7) + 4 + -3*(sqrt(66)\/sqrt(6) + sqrt(11)))*-2)**2.\nAnswer: -100*sqrt(11) + 1125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (((-40)\/(-90))\/2)\/1\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -1.1, -1 in descending order.\nAnswer: 2\/9, -1, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f\/f**(1\/6)*f*f**8*(f*f\/f**(-3\/2))\/(f**(-3)\/f) assuming f is positive.\nAnswer: f**(55\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + 2 + 1 - 2. Let y(v) = 9*v - 9*v + g*v**2. Let p(q) = q**2 - q. Let h(r) = -12*r**2 + 10*r. Let a(i) = -h(i) - 10*p(i). Give a(y(d)).\nAnswer: 32*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -18025*q - 54071. What is d(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/15988514 and -43\/148.\nAnswer: 31977028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 858 is divided by 319?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 divided by -76446?\nAnswer: 17\/76446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -13981.4*0.0206\nAnswer: -288.01684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12003 - -1?\nAnswer: -12002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17944 and 708.\nAnswer: 3176088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/55 - (-24)\/11. Suppose 0 = 3*h - 0*h + 108. Let f be (-27)\/(-45) - h\/(-10). Sort f, -7, y in ascending order.\nAnswer: -7, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5040 and 7560?\nAnswer: 15120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 16 = -o, -3*o - 44 = 2*o - j. Let m(a) = a**2 + 6*a - 10. Let f be m(o). What is the second derivative of -5*n - 3*n**4 - f*n**2 + 6*n**2 wrt n?\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -v - 2*v - 8181, 4*d = 4*v + 32684. What are the prime factors of d?\nAnswer: 2, 3, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3294 - 3286. Solve 47*s - 43*s = -b for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35221017 - 14294451.\nAnswer: -49515468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1342*b - 62927 - 57853 for b.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 5*l. Let c(u) be the third derivative of -75*u**2 + 0 + 0*u + 1\/8*u**4 + 0*u**3. Give d(c(w)).\nAnswer: -9*w**2 + 15*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = h + 4*p + 9, 4*p + 64 = 4*h. Let w = h + -10. Solve 4*n - w = -13 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyuyuyu. What is prob of sequence yuyu?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29 by 2.\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.2 and -1.84.\nAnswer: -2.208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -24*k - 4. Suppose -2*s + 5*a - 2 = 10, 0 = s + a - 1. Let d be u(s). What is the highest common divisor of 90 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*-1*(-3 + -4). Let y(b) = -b**2 + 8*b - 3. Calculate the remainder when 7 is divided by y(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -o**8\/48 + o**5\/12 + 3*o**2\/2 + 5. Let k(z) be the second derivative of u(z). Find the third derivative of k(c) wrt c.\nAnswer: -420*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 4:43 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 k when four letters picked without replacement from {k: 4, f: 2, v: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/(-10))\/3 - 6732\/(-45). Suppose 0 = -4*f - 1086 + h. Let o = f - -341. What are the prime factors of o?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1427 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t + 6*t**3 - 3*t**3 - 2*t**3 + 0*t - 4 to the form v + h*t + q*t**2 + m*t**3 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 261763488 divided by 1176\nAnswer: 222588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-3)*2\/8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/90508248 and -61\/855.\nAnswer: 452541240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a litre in millilitres?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + 0 + (3 - -459). Let p be (-3 - v\/6)*2. What is the remainder when -2 + p\/(-9)*3 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2505584467900.1 + -4.\nAnswer: 2505584467896.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {g: 4, n: 6, u: 2}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 5 + -2 + (sqrt(2057) - (sqrt(2057) + (5*3*sqrt(2057) + sqrt(2057) - sqrt(2057)))) + -5*(-1 + sqrt(2057)) + -1)**2.\nAnswer: -5280*sqrt(17) + 822944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-1)*1 - 0. Solve 3*a - c = -10 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d + 4*d - 4*d + (1 + 1 + 4 + (0 + 1 - 3)*(-5 + 1 + 3))*(16 - 10 + 4)*(-7*d + 3*d + 3*d) to the form b + f*d and give f.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 40*v**3 - 4*v**2 + 4*v - 1. Is l(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 3*o)*(-55*o - 41*o + 29*o) to d + x*o**2 + m*o and give x.\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -5*r - 3*z + 29, -9 = -r - 3*z. Suppose -g - 175 = -r*g. Suppose g = 4*w - 1. What is the highest common factor of w and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3440291123.\nAnswer: 31, 337, 329309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2201169 and 1104?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008673 rounded to five dps?\nAnswer: -0.00087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 47 = -5*j, 5*f = 2*j - 84 + 90 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 35, 45, 55, 65?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (8 - 4 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - -2 - -5) + 9 + -6 + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 6*q**2 + 2*q + 72. Let o be t(-6). Let m be 957\/10 + o\/200. Calculate the highest common factor of 12 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.06 from -33562871137.\nAnswer: -33562871137.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1116 rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 230 = -7*j. What is the tens digit of (3 - j)\/((-2)\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35152 is divided by 63.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16\/3 - 23\/69. Suppose 868 = 4*q - 2*m, -15*q + d*m + 450 = -13*q. List the prime factors of q.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/12 and 11\/96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 8*b. Let i be o(-8). Suppose 8*l + 9 + 15 = i. Is 1712\/24 + (-2)\/l a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 13075 and -165?\nAnswer: 13240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h - 1 - 4*h**2 + 2*h**2 + h**2 - h**2 + h**2 - 2*h**2 + 4*h**2 - h**2 - h**2 + (3*h + 0*h - h)*(-2*h + 0*h + 0*h).\nAnswer: -5*h**2 - h - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do -28 and -2649\/98 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 74 = -4*p - g, 4*p = 2*g + 54. Suppose 2*h = 3*o - p, h + 5*o = -h. Is 6\/2 - (h + -29) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.006 and -6.9.\nAnswer: -6.906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/8 + (-255)\/(-1020)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s + 39. Calculate l(6).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 79911, 159817, 239723, 319629?\n\"Answer: 79906*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/3*15\/10. Let x be (m\/(-8))\/(55\/7818). Let c = -2\/55 + x. Find the common denominator of 4\/11 and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-1)\/(-1))\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*b**5 + 1368*b**4 - 27841*b**3 - 59850*b**2 - 30625*b = 0. What is b?\nAnswer: -1, 0, 175\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27.4 - -27.4468. Let t = 1.7 + -1.65. Let z = b - t. What is z rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140113 (base 6) to base 11.\nAnswer: -9853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yynynynyyny?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102000102 + 10?\nAnswer: -102000022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.07 - 0.01. Let u = i + 3.94. What is the smallest value in 0.1, -2, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 r, and 1 t when three letters picked without replacement from tiitriiiiirii.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*p + 7 + 17. Suppose -7*w + 3*f = -p*w - 16, w = -f + 4. Suppose -w*a - 105 = -7*a. Solve -a = 4*u - 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359600 rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2560288 is divided by 1413.\nAnswer: 1345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 491145557.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 172 - 172. Suppose -u - 3*g = -8689, -5*u - 3*g + 7*g + 43445 = r. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (522\/(-12))\/(1\/(-6)) is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 261.958725s to weeks.\nAnswer: 0.0004331328125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 7*n**2 - 11*n - 16. Let t = -323 - -332. Let r be k(t). Sort r, -2, 3 in increasing order.\nAnswer: -2, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -m**4\/4 - 4*m**3\/3 - m**2\/2 - m - 352. Determine z(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that f**2 - 188*f + 1440 = 0.\nAnswer: 8, 180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43941 is divided by 100?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 22*s - 25. Let l be a(23). What is the biggest value in 3, l, -2\/21?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.439 + -2.431. Let o = -2.57 - x. Let b = -5.25 - -0.25. What is the nearest to 2 in b, o, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-30)*h\/h**(1\/23)*(h\/h**(-1\/7))**(-13\/8))**(-4\/9) assuming h is positive.\nAnswer: h**(19900\/1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 2*h + 2*h)*(-539 + 316 + 289)*(6 - 2*h - 6).\nAnswer: 132*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 6*m**2 - 274*m - 413. Calculate l(45).\nAnswer: -593","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2850532672007 - -94.\nAnswer: -2850532671913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, -5, -95.1 in increasing order.\nAnswer: -95.1, -5, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26829216737 - -26829216495.99999793. Let f = i + 241. What is f rounded to seven dps?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 1:53 PM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 12 = 0, 4*w + 38 = 2*a - w. What is the remainder when (48\/(-9))\/((-15)\/270) is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 26*h**2 - 16*h. Let r(l) = 5*l - 25*l**2 + l + 10*l + 0*l. Let g(c) = 5*p(c) + 6*r(c). What is the second derivative of g(j) wrt j?\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 274, 484, 638, 712, 682, 524, 214?\n\"Answer: -4*p**3 - 4*p**2 + 250*p + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand w + 2 - 2 + (5 - 2 - 2)*(-2*w - 8 - 15 + 28).\nAnswer: -w + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17881\/9 + 1987. Which is smaller: d or 2914?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-26)*u**(-2\/25) assuming u is positive.\nAnswer: u**(-652\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 21*z - 3*z)*(5 - 5 + 3).\nAnswer: -75*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -223110 + 1020201?\nAnswer: 131031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/63*(-1089)\/11?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/54 - 52\/(-9). Let p = -4 + m. Solve r = -r - 4*t + p, 5*r = 3*t - 21 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19 - 19 + 58*c**2)*(0 - 2*c + 0) to the form w + b*c**2 + u*c + j*c**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/19278540 and -65\/42412788.\nAnswer: 212063940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*c = -16*c. Solve 2*f - 2 - 4 = c for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14625 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**2 + 3 - 3 + (-2*r + 3*r + r)*(3*r - 2*r + r) + 9 - 2*r**2 - 9 + (r + r + 2*r)*(1 - 1 + r) + r**2 - 3 + 3.\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**(2\/13)\/v*v*v*v))\/v**(-1\/3)*(v*v\/(v\/(v\/v**(1\/4))))\/(v*v**(-2\/5)) assuming v is positive.\nAnswer: v**(-523\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 693 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 206*w - 1338. Give v(6).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1207172490 rounded to the nearest 1000000?\nAnswer: 1207000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/15)\/(6\/120*-6)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-19 + (56 - 1) - (24 - 39)) + -4\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3460, -28050, -94796, -224776, -439068, -758750?\n\"Answer: -3513*p**3 + p + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**(-1\/5)*f*(f**15*f)\/f assuming f is positive.\nAnswer: f**(86\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*s + i, 2*s - 8 - 5 = 3*i. Suppose s*n + 8 = 2*b, 3*b + 4*n - 10 - 2 = 0. Let m = 35 - 15. Solve 5*l + m = 5*h, b*l - 2*l + 8 = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u**5\/5 + 306*u**4 - 772*u**3\/5 - 2296*u**2\/5 + 768*u\/5 + 766\/5 = 0. What is u?\nAnswer: -383, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.49 in 17, 3.271, -1\/34?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -136*y**2 + 66*y + 98. Let c be d(7). Is c greater than or equal to -6102?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225 + 150 = 24*m + 15 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 5*c = 70, -2*x + 3*x - 3*c - 6 = 0. What is the nearest to -1 in x, 4, -2, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.09306 + 0.10694. Which is the closest to i? (a) 2\/3 (b) -4 (c) -5 (d) -35.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -334 + 336. Suppose a*m - 475 = 1087. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, a: 6, r: 4, t: 1, n: 2}. What is prob of picking 2 r and 1 n?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*c + 6, 1 + 5 = -2*x. Let r(n) be the second derivative of 2*n + 1\/12*n**c + 2*n**2 + 0 + 2\/3*n**3. Solve r(u) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of v**4\/78 - 2*v. Factor c(a).\nAnswer: 2*a**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18762 a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.01 - -0.00997. Round o to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78534*0.19.\nAnswer: 14921.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -77 - -83 - 13*-2. Let x = 56 + -8. What is the greatest common divisor of x and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*k + 168 = 13*k. Let u be k\/(-20) + 12\/(-3). Which is greater: -15 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-4)*t\/t**(-12))**(-46))**(-1\/23) assuming t is positive.\nAnswer: t**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.449 + 6.449. Which is the third biggest value? (a) -4 (b) 24 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 (base 12) in base 4?\nAnswer: 30302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27695 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -11\/168, -6.8, 7, -8?\nAnswer: -6.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**2 - 359*f**3 - 3*f + 165*f**4 + 721*f**3 - 360*f**3 + 5*f as k + j*f**3 + h*f + r*f**4 + b*f**2 and give r.\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 4 = -4*o + 4*i, -5*i - 5 = -4*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -141*k - 144*k + 11 + 271*k + (2 - 2 + 2)*(k - k + k) + 16*k - 4*k - 3*k + k + 0*k + k.\nAnswer: -k + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -3*h**2 - 1118430*h - 104240472075 = 0.\nAnswer: -186405","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39 + 36. Let k = o - -19. Calculate the highest common divisor of k and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -191598 or -191599?\nAnswer: -191598","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 v, and 1 z when three letters picked without replacement from avzzazavccz.\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 4 + 20 - g - 4. Let v = 22 + -15. What is the remainder when i(0) is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2 + sqrt(153) + sqrt(153)*2 + -1)**2 + 5.\nAnswer: -54*sqrt(17) + 1395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/25*(-58 - 2). Let i(j) = -6*j**2. Let f(l) = -30*l**2 + 2 - 3 + 1. Calculate x*i(t) + 5*f(t).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -320?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(980)*-2)\/(sqrt(196) - -1*sqrt(196)).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (14\/1)\/(-1 - -3). Solve -3*n + 4*w - i = -19, 4*n + w = -3 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - (3 + -2))*-12. Let f be u\/42 - (-4)\/14. Which is the closest to -1? (a) f (b) -1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1085 + 1112. Calculate the remainder when 240 is divided by u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.21 (b) -27\/5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.51112 centuries in decades?\nAnswer: 405.1112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 5*r**2 - 6*r - 1. Let a be u(-4). Let w(d) = -d. Let b be w(a). Let f = b + 13. Solve 4*j - f = -2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10035.06 microseconds in milliseconds?\nAnswer: 10.03506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158519 is divided by 149?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219 = -3*c - 3*c + 189 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.76 and -33.\nAnswer: 91.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 x, and 1 r when four letters picked without replacement from yyvxoxoryoo?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -114049, -231823, -349597, -467371, -585145, -702919?\nAnswer: -820693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**3\/5 - 11732*j**2\/5 - 6779979*j\/5 - 191333178 = 0.\nAnswer: -279, 12290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -311, -308, -305, -302, -299?\nAnswer: -296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/151 + 293\/1359. Let h = 4.3 - 4. Suppose -v - 3 = 2*q - 4*q, 10 = 4*v + 3*q. What is the closest to v in h, x, -2\/13?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 342 = -2*p, -2*p + 124 = q + 46. Which is the second smallest value? (a) 18 (b) -1\/3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/11 + 40*h\/11 + 192\/11.\nAnswer: -2*(h - 24)*(h + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3033509664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 624*m + 20621. Determine u(-33).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 5*s + 1108. Let u(m) = -5*m. What is q(u(k))?\nAnswer: -25*k + 1108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 18569000 to the nearest one million.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -4*i**3\/3 - 12*i**2 + 864*i - 3166. Factor u(p).\nAnswer: -4*(p - 12)*(p + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 160578 and 28908.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((f - 2*f - f)*(-f + 2 - 2) + f**2 + 3 - 3)*((3 - 6 + 1)*(-2*f**3 - 2*f + 2*f) - 7*f**3 + 5*f**3 - 6*f**3) + f**5 + 2*f**5 - f**5.\nAnswer: -10*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llnlllnnlll. Give prob of sequence lnl.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.096 + -4.096. Which is the third smallest value? (a) v (b) 0.15 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-78)\/(-91)*260\/40*-7?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7124.273733 + 6816.2736. Let v = s - -308. What is v rounded to 5 dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = x + 2*x - 15, -2*k + 2*x - 14 = 0. Let l be 0 + (k\/5)\/((-11)\/55). Is (3\/(l\/71))\/(2\/4) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005079785 rounded to 7 decimal places?\nAnswer: 0.000508","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1.1781 * 0.1\nAnswer: -0.11781","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73 divided by -288.\nAnswer: -73\/288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 4582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 8:08 PM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67779 is divided by 33508.\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r. Let z = -31 + 36. Give p(z).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3609894621 and -3201.\nAnswer: -3200.6390105379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00601228375 rounded to five dps?\nAnswer: 0.00601","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 less than -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 1 - 4)*(2*a**4 + a**2 - a**2) in the form l*a**2 + u*a**4 + m*a + d + k*a**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 166768519?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 3*c**3 - 4*c**3 + 3*c + 2. Let b be w(-1). Suppose 0*s = -b*s + 10. Is -1\/20 bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -z - 159. Suppose 4*r + 5 = z. Calculate the highest common factor of r and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 9*c = 8*c + 32, 20 = 4*c. Let i be (z\/15)\/((-7809)\/38). Is 0 >= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 91987, 91986, 91985, 91984, 91983, 91982?\nAnswer: 91981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - -1239. Let j = q - 874. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -728 + -3?\nAnswer: -731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -112671 greater than or equal to -69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -124650*i**2 - 87565*i?\nAnswer: -249300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -186 * -5804.\nAnswer: 1079544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -33 and -97\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 211 + 303112002130?\nAnswer: 303112003001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.053017 to three decimal places.\nAnswer: -0.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of 1\/3*o**3 - o**2 + 36 - 2*o. Let s(u) = u**2 - u - 1. What is 3*f(c) - 6*s(c)?\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 23225480 divided by 4\nAnswer: 5806370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 7*a**2 + a - 2. Let w(l) = 347*l**2 - 8*l + 13. What is -5*r(b) - w(b)?\nAnswer: -382*b**2 + 3*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + 12 + 2 + 6 + (-1 - 7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3885, -1, 155, 1\/2 in decreasing order.\nAnswer: 3885, 155, 1\/2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -210642, -421326, -632010, -842694, -1053378, -1264062?\n\"Answer: -210684*n + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.32, 198, -5, -1\/8, -1\/2?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 2*m + h + 1, -2*m + 4*h = -16 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1195*x = 1208*x - d - 41, -2*x - 6 = 6*d for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -8*z**2. Let i(n) = 1983160*n. What is o(i(f))?\nAnswer: -31463388684800*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/3 - 22133*a**2\/3 + 2820736*a\/3 - 30044160.\nAnswer: (a - 22005)*(a - 64)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 9, n: 1, s: 3, c: 5}. Give prob of sequence nes.\nAnswer: 3\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 327 (base 9) to base 8\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 4*r - 3*x - 4380, -r - 2*x = -863. What is the remainder when r is divided by 98?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 11. Let h be (2 - (3 - 2)) + -2. Let a be x\/h*(3 + -1). Solve 0 = 2*t - a*t - b - 12, 4*b = 2*t + 2 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of 3*j**2\/2 + 7*j - 1. Let n be (6\/(-12))\/((-2)\/4). Let i(w) = -w + 4*w - 1 - 4*w. Give n*m(b) + 5*i(b).\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/(-15) - (-652)\/5. Let l = w - 67. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-1\/2))**14*(s*(s**(-1)*s)\/s*s)\/(((s**(-1)\/s)\/s)\/s*s) assuming s is positive.\nAnswer: s**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -102.404969 and 3.\nAnswer: -99.404969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 2, -14, 7\/212?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t + 1. Let w be d(2). Suppose -10 = -w*m - 0. Let u(a) = a - 1. Let v(s) = -s + 1. Let q(k) = 5*u(k) + 4*v(k). Give q(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 8:45 PM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -45*u - 429. Let f be h(-37). What is the greatest common divisor of 12 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06 + 21268881.1.\nAnswer: 21268881.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 271 + 269 - 807 - f**2 + 267.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 0 + 0)*(4 - 3 + 1) - 1 + 1 - 2)*(-2*n + n + 0*n)*(33 + 37 - 19).\nAnswer: 306*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21802636049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v**3 + 23 - 40 + 17.\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-38 + 48)*15\/6 + -10. Solve -5*o + 4*p - h = 0, -5*p = o - p + 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1694 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 220181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 162.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -100897\nAnswer: -3\/100897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 3*y = 11, 297*y + 382 + 197 = -0*z + 3*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/7403673 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*v - 40*v + j + 1263 = 0, v = -3*j + 243. What is the highest common factor of v and 444?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1700 - -724. Let p be ((-2)\/(-230))\/((-8)\/k). Let l = p - 6\/23. What is the nearest to 1 in l, 4, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 5\/4, 280?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3083*a**3*p**3*t**3 - 6*a**3*p**3 - 13*a**3*t + a**2*p**3*t - a**2*p**3 - 2*t**3 wrt t.\nAnswer: 18498*a**3*p**3*t - 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5505062 divided by -4.\nAnswer: 2752531\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 88*c - 2. Let w be o(6). Suppose -w = -5*a - 71. Suppose 95 = 3*p - 2*z, -4*p + z = -p - a. What are the prime factors of p?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -16, -556\/247, -1\/12, -3, -1?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -268406, -268996, -269970, -271322, -273046, -275136, -277586?\n\"Answer: j**3 - 198*j**2 - 3*j - 268206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44081149*d**2 + 33395*d - 87.\nAnswer: 88162298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/(-14)*49\/2*(-302)\/(-3171).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -25358, -50715, -76072, -101429, -126786, -152143?\n\"Answer: -25357*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22450611?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**2 + 7*u. Let n be f(3). Let j = n - 0. Let g be -3 + -3 + 11 + 3. Solve j*h = -h + g for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a25 + 2?\nAnswer: -a23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 35 (base 6) to base 7\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/34390 and 49\/4017295.\nAnswer: 152657210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*b = -33 + 107. Suppose 0 = 2*w - 3*w. Solve w = u + b - 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 7:20 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 597 (base 11) to base 4.\nAnswer: 23013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 304 and 43728.\nAnswer: 830832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4508 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-81)\/(-1344) + (-3)\/84*7 and 69\/448.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 - 6*i - 1. Let v(t) = t**2 - t - 3. Let l be v(4). Let c = -14 + l. What is r(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/2*(-4)\/16*10. Which is the fourth biggest value? (a) -0.5 (b) 5 (c) -4 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 162725\/(-2760) + (-295)\/(-5)?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.0200003144 - 3.02. What is p rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + 62*y**2 + 266*y - 127. Let k be u(66). Solve 0*c + 3*c = 4*h - 4, -3*c = k*h + 22 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 18 - 18 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 72*5\/((-40)\/(-6)). Let x = t - -361. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j\/(j*(j*j\/(((j\/j**(-17))\/j)\/j*j*j)*j)\/j))\/j*j))\/j**21)\/((j*j*j\/(j**(-18)*j*j))\/(j*(j*j\/(j*j*j**25*j*j))\/j*j)) assuming j is positive.\nAnswer: j**(-81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 62 and -79230434?\nAnswer: 79230496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.71 - 0.82. Sort -1\/2, -0.08, m in decreasing order.\nAnswer: -0.08, m, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1085 - -1084.5. What is the second smallest value in j, -0.13, 4, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(95)\/(sqrt(405)\/sqrt(9)))*-3*5)**2.\nAnswer: -600*sqrt(19) + 4075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j + 3. Suppose -3*s + 0*s - 15 = 0. Calculate the smallest common multiple of 16 and h(s).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -466, -1012, -1558, -2104, -2650?\n\"Answer: -546*t + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3020262 and 4704?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.20364 - 0.203658066. What is w rounded to six dps?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*h = 2*h - 10, 0 = -3*i + 2*h + 34. Suppose 0 = 4*l - i + 2. Solve 4*o + 3 + 7 = l*j, 4*j - 20 = -2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2173858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 663660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-37*h - 7*h - 4 - 39*h)*(4 - 3*h - 4 + (-1 - 1 + 3)*(-3*h + 5*h - 3*h) + h + 2*h - h) to v*h + i + c*h**2 and give c.\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of -n**4\/24 - 10*n**2. Let g(w) = -10*w. Calculate g(r(a)).\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -560, -1011, -1468, -1931, -2400?\n\"Answer: -3*g**2 - 442*g - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 1\/11, -5, -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 200 or 204?\nAnswer: 200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8237 + -7803. What is the highest common divisor of d and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3, -5, 0.2, 1\/33?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - s - 6. Let r(u) = 8*u**2 + 66*u + 704. Let q(h) = 5*p(h) + r(h). What is the derivative of q(t) wrt t?\nAnswer: 6*t + 61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 1\/53 (c) -2\/7 (d) -0.216 (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of (3\/(-4))\/(3 - (-363)\/(-120))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -j - 3*j. Suppose 0 = -10*h + 5*h + 3*b + 87, 0 = -4*h + b + 71. What is the greatest common factor of h and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6 + 9\/(36\/(-16)). Let g be y*(-3)\/6*-3. Let x be 7*1\/3*3. Solve x*f = g*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 171.654 + 0.346. Which is the second biggest value? (a) z (b) -2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2140, 17005, 57516, 136549, 266980?\nAnswer: 461685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 29 = -h, -3*h + 3*j + 81 = 30. Let n = 28 - h. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5003 - -50123\/10. Calculate the common denominator of -3\/19 and i.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 0.3 (c) -0.65 (d) 2 (e) 0.409\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27*s**4 + 6 - 6 - s**4 + 0*s**4 - s**4 + (3*s**2 - s**2 + 0*s**2)*(3 + 2*s**2 - 3) - 5*s**4 + 2*s**4 + 4*s**4.\nAnswer: -24*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/1860 and 121\/14547990.\nAnswer: 29095980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + 9*b + 15. Calculate the remainder when h(-11) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6885\/(-24))\/3 - (-63110)\/100976.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + g - 1. Let c be x(0). Let u be c\/(((-15)\/(-54))\/5). Is (-3)\/u*2*57 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwww when four letters picked without replacement from {x: 2, w: 15, q: 3}.\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 7*w - 1. Let l be j(6). Suppose -k + 5 + l = 0. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*q, -2*t + 0*q = 3*q - 11. Suppose 3 = -t*c + 27. Let v(o) = o**3 + 8*o**2 + 5*o - 7. What is the remainder when v(-6) is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 57039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122465 (base 7) to base 4.\nAnswer: -11200022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - 8*c + 10. Let u be a(-9). Is u at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 606\/7 + 3\/7*r**2 + 87*r = 0.\nAnswer: -202, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -34*p + 281. Let z be w(8). Solve 0 = -84*b + 87*b - z for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14859513\/80 - 185744. What is the common denominator of 2 - (-2)\/320*-134 and z?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -47714, -95445, -143180, -190919, -238662, -286409, -334160?\n\"Answer: -2*l**2 - 47725*l + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i + 6*i + 460795 = 0. Let b be 1*i\/(-4)*(-10)\/(-55). Let g = 4190 + b. Calculate the common denominator of g and -125\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.95678 less than -92147?\nAnswer: -92129.04322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.3 - 1.3. Let m = 139 + -141. What is the fourth smallest value in g, m, 0.3, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -21323545443?\nAnswer: 21323545441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6926309\/116 - -59710. Let c = l - 5201\/1276. Find the common denominator of c and 42.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39 (base 11) to base 8\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 38402 and 71318.\nAnswer: 499226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - a**2 + a - 1. Let h(j) = -148*j**3 - 2*j**2 + 2*j + 239. Let q(n) = h(n) - 2*p(n). Find the first derivative of q(r) wrt r.\nAnswer: -450*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*v**5 - 5665*v**3 + 7632*v**2 - v + 24 wrt v?\nAnswer: -900*v**2 - 33990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + -3)\/((-10)\/(-75)). Let n = -163 - -148. Is n at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18? (a) -5 (b) 0 (c) 0.1 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*f + 202 = -79*f - j, 3*f + j + 7 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 98 = -3*d, -144 = -l + 2*d - 36. Suppose -19*i + l = -6*i. Suppose -2*w + i*w = 48. Calculate the remainder when 31 is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(704) + -2 - sqrt(704)) + sqrt(704) - (sqrt(704) + (sqrt(704) + (3*sqrt(704))**2)*4) - ((1*sqrt(275) + 2 + 1)*-2)**2.\nAnswer: -26477 - 152*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -25, 5 in descending order.\nAnswer: 11, 5, -25","meta":{"dup_signals":{},"source":"comparison__sort_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: Do 524\/9 and -23\/30 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-3)*16881\/1324\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 53600\/800*5\/5?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 141\/(-11) - 890\/4895\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9451182 = 76*j - 11*j + 13*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three sixteenths of a minute?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + b + 3*b)*(7 + 1 + 7)*(-23 - 14 + 30).\nAnswer: -210*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12449991.1549272375 - -12449991. Let i = -88.1549313375 - r. Let y = i - -88. What is y rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97333 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -607273\/126 - -13889\/63. Let t = -4575 - c. Find the common denominator of -41*6\/20 - -1 and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*h*q**3*s + h*q**3 - 7*h*q**2*s - 6*h*q**2 + 3*h - 10*q**2 wrt s?\nAnswer: -6*h*q**3 - 7*h*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1975 - -1977. Calculate the least common multiple of q and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62 + 2*f**2 + 14 - f**2)*(3 + 2 - 4) + 15 - 15 - 3*f**2.\nAnswer: -2*f**2 + 76","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6158, 12315, 18472, 24629, 30786, 36943?\n\"Answer: 6157*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(85) + sqrt(85)*-1)*-5)\/((sqrt(220)\/sqrt(4))\/sqrt(11)))**2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/2005 or 0?\nAnswer: 2\/2005","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-7) - (-3)\/21)\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 24. Let v(q) = 11*q - 1. Let j be v(5). Let f = j - g. List the prime factors of f.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 342954 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7.11 + 0.11. Let w = -433 + 431. Let c = w - a. Which is bigger: c or 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-8 - (-3 + -2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 117 + -70. Determine m, given that -c*m**4 + 42*m**4 + 4*m**2 + 5*m**3 + m**2 - 5*m = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 132985992 to the nearest integer?\nAnswer: 11532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 14) to base 4\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -b**6\/2 - 23*b**5\/5 + b**4\/2 - 5*b**3\/3 - b**2\/2 - 62*b + 4294. Find the third derivative of m(r) wrt r.\nAnswer: -180*r**2 - 552*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 14) in base 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 604 = 3*q, 3*q = -3*s - 30 + 606. Differentiate -354*g**4 + 226*g**4 - 161 + q*g**4 wrt g.\nAnswer: 272*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**4 + 235*l**3 - 1628025*l**2 - 545927375*l - 50589070000.\nAnswer: 5*(l - 688)*(l + 245)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -909 - -911. Let b be 12\/c + -66 + 60. Solve 5*z + b - 1\/2*z**2 = 0 for z.\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 10) to base 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + c. Let i(v) = 18*v**2 - 7*v. Let l(f) = h(f) - i(f). Find the second derivative of l(j) wrt j.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j + 12 = 4*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 18260 (base 12) to base 8\nAnswer: 104150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*d = 97*d + 10. Suppose -d*x - 3*r = 479 - 2580, 842 = 2*x + 2*r. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/2236944 and -13\/43389.\nAnswer: 20132496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 431332 = 74552. Let x = l - 358390. What is x rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + (26 - 22) + -11 - 64.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -139645655*s - 110993708.\nAnswer: -139645655","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 9, -32, 2.\nAnswer: -32, -3, -1, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwwz when four letters picked without replacement from hzwrwwrhyrrrzzwry?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -112 - -137. Suppose 3*v + t = -2*v, -q - 3*v = -56. Do 71 and q have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28370, -28583, -28938, -29435, -30074?\nAnswer: -30855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 784.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3, -92, -209, -354?\n\"Answer: -14*b**2 - 47*b + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1877 or -2?\nAnswer: 1877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*((-7)\/(-105)*-3)\/((-32)\/60).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 9*r - 40 = 8*r, 41*v - 71*v + 35*v + 2*r - 79 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/(-24)*20\/(-30) - 1287\/(-6604). Is -0.07 >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(2299) + sqrt(2299) + 2) - (((sqrt(2299) + sqrt(2299)*-2)*4 - sqrt(2299) - sqrt(2299)) + sqrt(2299) - sqrt(2299)))**2.\nAnswer: 1584*sqrt(19) + 331092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - -3 - (-2 + -1). Let m(f) = -f**2 + 6*f - 5. Let n be m(d). Suppose -10*w + 5*w + 10 = n. Sort w, -3, -1 in decreasing order.\nAnswer: w, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.243 in -2\/17, -5, 1450.4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4 + 43563*y**3 + 4 + 3684*y - 38614*y**3 wrt y?\nAnswer: 29694*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - 15 - ((0 - 3) + 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17039 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/4*123\/(-21)*6412\/(-229)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 1*12 + -3. Suppose 4*y - 4 = d. Suppose -y*s + 62 = 4*o + 5, 5*o + 5*s = 65. Calculate the greatest common factor of 6 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 16 - 1 - 8*c + 31 + 2. Let f be v(4). Suppose -3*y - 13 = -u, -2*y + f = -6*y. What is the greatest common divisor of 3 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 5*k + 1. Which is bigger: k or 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14703 + -14708. Which is the closest to -1\/4? (a) o (b) 1\/3 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 30, 7, -36, -105, -206, -345, -528?\nAnswer: -761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 6:49 AM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, o: 11}. Give prob of sequence rro.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001797226563 rounded to 5 decimal places?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 475180 and 593975.\nAnswer: 2375900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 73978.97049 rounded to the nearest 100?\nAnswer: 74000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -29 + -446?\nAnswer: -475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47 + 52. Let f(z) = 3*z**2 - 8*z - 11. Let q be f(i). Is ((-42)\/q)\/((-1)\/(-56))*-1 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 + 23*j + 18. Let q(t) = 2*t**2 - 53*t - 36. Let p(s) = -4*q(s) - 9*r(s). What is the least common multiple of p(-8) and (-2)\/5 + 124\/10?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*u - 67 = -2*n - 2*u, -23 = -3*n - 4*u for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - 1*sqrt(684)) + -3 + 4 - (sqrt(1216)*-1 - (sqrt(19) - (sqrt(2736) - 1*sqrt(2736))))*2)**2.\nAnswer: 26*sqrt(19) + 3212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*p - 23*p - 42. Let n be 110998\/5 - p\/35. What is n rounded to the nearest one thousand?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) -1\/6 (c) -3\/4 (d) -13 (e) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of 0*k**4 + 0*k - 4\/5*k**5 + 0*k**2 - 7\/3*k**3 + 7. What is the third derivative of n(w) wrt w?\nAnswer: -96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in -4, -2, 2\/11, 8610, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 24*j - 154. Let d(r) = 22*r - 140. Let k(h) = -6*a(h) + 7*d(h). Give k(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -51, -3, 0.025 in descending order.\nAnswer: 0.025, -3, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + (-24 + 19 - -23) + -3 + -16.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 726 and 22?\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 27\/2 of a microgram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 13*i + 8*i - 4*i + 40 = 7*i, -3*i = 15 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 9*u**2 - 12*u + 1 - 19*u**2 + 11*u**2. What is h(13)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/33 and -41\/5?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 581, 549, 467, 311, 57?\n\"Answer: -4*c**3 - c**2 - c + 587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 - 81 + 31 = -3*j + 4*b - 13, 7*b + 54 = -5*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4+0.5405\nAnswer: -3.4595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-7)\/r**(-3\/2)*(r\/r**2)**(-5\/17) assuming r is positive.\nAnswer: r**(-177\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 30*m + 50. Let g be t(-39). Suppose 8*n - g = 327. Does 23 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 215 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**4 + 6*p**4 - 3*p**4)*(0 + 14*p - 1 - 1) + (-2*p + 0*p + 0*p)*(p**3 - p**3 - p**4) - p**5 - 4*p**5 + 2*p**5 - 2*p**5 + 9*p**5 - 3*p**5.\nAnswer: 45*p**5 - 6*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/6769629 and -91\/54.\nAnswer: 13539258","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.01 - 0.01. Let c = 43.3 + -43. Which is bigger: c or r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -3\/100*i**5 + 0*i**2 - 6*i + 1\/20*i**4 + 0 + 1\/5*i**3. Suppose w(v) = 0. What is v?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 0, 4, 8 in ascending order.\nAnswer: 0, 4, 8, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 11*t**3 - 16*t**2 - 12*t + 15. Let x be (-52)\/6*45\/30. Let u be i(x). Round u to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - w - 3, -4*w - 6 = -4*h - 2*w. Solve y = -h - 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1062 + 126*b**2 - 217*b**2 + 92*b**2)*(-2*b + 0*b + b).\nAnswer: -b**3 - 1062*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 511381000 to the nearest 1000000.\nAnswer: 511000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41.8411 + -0.0411. Let v = g - 42. What is the smallest value in 0.5, 0, v, 0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -513.5.\nAnswer: -2054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u + 8. Let d be g(-8). Suppose 5*a = -d*a + 25. Solve -3*b = -a*b, -5 = -c - 5*b for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + sqrt(288)*-2)**2 + sqrt(2) - sqrt(2) - (sqrt(288) + (sqrt(288) + 2)**2).\nAnswer: -60*sqrt(2) + 766","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -9, -36, -91, -186, -333, -544, -831, -1206?\n\"Answer: -2*n**3 - 2*n**2 - 7*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d - 1. Let p be l(-6). Suppose 4*n - 3*b = 3*n + 521, p*n - 2548 = -4*b. Suppose 521 = -3*y + 7*y - c, 4*y = 4*c + n. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 13*p + 24. Let g be t(10). Let j = g + 9. Let z be j\/3 + 9*(-2)\/14. Which is the closest to -2? (a) z (b) -3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*t**2 - 51 - 2*t**4 + 26 - 7.\nAnswer: -2*(t - 2)**2*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -12013, -3\/2, 1\/3, -6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixteenths of a week in minutes?\nAnswer: 4410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + -10. What is the remainder when 13 is divided by 14\/5*g\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - 0.07423599154273?\nAnswer: -0.37423599154273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 821305591 to the nearest integer?\nAnswer: 28658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*i + 60 = 65*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1767.\nAnswer: 3, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*d + m, -d + m = 1 - 2. Is (-1)\/d - -189 - -3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25 by -1.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-62 - 5) + 98 - -33\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13731.19434 rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 253835 - -2?\nAnswer: 253837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -117395918 by -1.\nAnswer: 117395918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/22253664 and 35\/196574032.\nAnswer: 1179444192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-18)*9\/6*27?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*d**3 + 7*d**3 - 2*d**3)*(-5*d + d + 2*d)*(1 - 1 - 2*d).\nAnswer: 96*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -169*m + 101*m - 458 + 70*m in the form t*m + f and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**31)\/n**(-12)*n**26\/(((n**(-38)*n)\/n)\/n*n) assuming n is positive.\nAnswer: n**46","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 138 or 9155\/67?\nAnswer: 9155\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-1 + -1 + 1). Suppose 0 = 2*f + 7 + d. Let n be (2\/7)\/(f\/(-28)). Calculate the highest common divisor of 10 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 50, 74, 82, 68, 26?\n\"Answer: -y**3 - 2*y**2 + 37*y + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3291416563 from -3.\nAnswer: -3.3291416563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 - -1411 - (-3 - -8). Suppose b + 1119 = 5*i - 9*i, 5*i - 2*b + m = 0. Is i less than -278?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -10, -3, 315384 in decreasing order.\nAnswer: 315384, -3, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 214\/5755 or -1?\nAnswer: 214\/5755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n**2 + 5883112*n - 2163187925284 = 0.\nAnswer: 735389","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**3 - 32*s**2 - 32*s + 63. Let j be w(-15). What is the highest common factor of 21111 and j?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00608035012 to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1524 is divided by 154.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/5)\/o*o*o**(-4)*o*o)\/(o**(-1\/8)\/(o\/((o**(2\/7)\/o*o)\/o)*o)) assuming o is positive.\nAnswer: o**(123\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) + ((sqrt(720) + 0)*5 - sqrt(720)) - sqrt(720))**2 - (1 + sqrt(720))*-6) + 3 + (5*((sqrt(720) + 2 - sqrt(720)) + 5)*-4)**2.\nAnswer: 72*sqrt(5) + 31129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 + 20. Let u = y - 30. Which is smaller: 2\/3 or u?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*(d**(-7)*d)\/d)*d**(6\/5)*d**(-5)*(d\/(d\/(d*d\/(d*d**(1\/7)))))\/d)\/((d**(-1))**10\/(d*d**(-5\/3)\/d*d**(1\/2)\/d)) assuming d is positive.\nAnswer: d**(2287\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*w**5 + 785*w**4 - 5*w - 176 wrt w?\nAnswer: -40*w**3 + 9420*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14.9832 + -15. Round d to three dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1424783\/36 or -39578?\nAnswer: -1424783\/36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of 2*b**2 + 3. Let u(a) = -2*a - 2*a + 3*a. Calculate u(x(s)).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-40))**(-49)*(l\/l**(-1\/56))\/l*l**(-13)*l assuming l is positive.\nAnswer: l**(109089\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**2. Let m(p) = 4*p**2 - 724. Calculate -m(t) - 3*z(t).\nAnswer: 2*t**2 + 724","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f - 13. Let j be w(6). Let q = j + 51. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (-4)\/(8\/(-162)) - -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.8 - -2.8. Let m(t) = t + 9. Let n be m(6). Let h be (-2)\/(-5) + (-16)\/n. Which is greater: b or h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + s + 290 = 0, 4*v + 140 - 1272 = -3*s. What is the least common multiple of 26 and v?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 3) + 238\/34. Solve -2*l + g = a*g + 2, 2*g + 5 = -5*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1100544, -2201085, -3301616, -4402131, -5502624, -6603089?\nAnswer: -7703520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*v - 45 - 23 = 89*v + 86*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.954 - -0.854. Which is the closest to h? (a) -12 (b) 0.5 (c) -0.4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18\/14 + -1 - (-2854)\/(-3696). Let t = -5\/56 + z. Find the common denominator of t and -79\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**4 + 3*m**4 - 3*m**4 + (0*m**4 + m**4 + 0*m**4)*(1 - 3 + 1) + 0*m + 1 - m**3 + 0*m - 6*m**4.\nAnswer: -9*m**4 - m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 32 (b) -2 (c) 179347 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of j**3*t**2 + 125*j**3*t + 139*j**3 - 2*j**2 + 2*t wrt t?\nAnswer: 2*j**3*t + 125*j**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*6*(-2 + sqrt(17)))**2.\nAnswer: -1296*sqrt(17) + 6804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence muu when three letters picked without replacement from mmumpumuuwmu.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 130643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 601)\/((-6)\/(-60)). Round k to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -21, -0.10016, -0.1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 + -4. Is 15 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, r: 1, t: 3, y: 1, x: 1}. Give prob of sequence yrt.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - (-2)\/(-9)*3. Is 0 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03319 to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1094 + -580. List the prime factors of a.\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62 + 174 = 45*k - 484 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -o**5\/20 + 11*o**4\/24 - 22*o**2. Find the second derivative of u(i) wrt i.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -214.1 - -214. Let t = -0.4 - -0.2. Which is the nearest to t? (a) 4 (b) -2\/7 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 117 and 146428704?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 15) to base 8.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26.68 - 24.3. Let f = x + -0.18. Let i = -0.8 - f. What is the closest to 0.1 in i, -2\/3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11529 by 4.\nAnswer: -11529\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/5)\/(p*p*p**(-3)))\/(p*p\/(p\/p**(1\/6))*p*p**(-1\/10)) assuming p is positive.\nAnswer: p**(-19\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -5*l + 108. Is 4 a factor of 105*(94\/l + -5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 66985780 to the nearest integer?\nAnswer: 8184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2627 and 333.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 307*s**3 + 1841*s**2 - 3*s + 23. Calculate z(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12911 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 7*w + 144 = 0. Does 12 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -5. Solve -3*b = -a*b - 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = r - 18, r - 6*u = -3*u + 22. Let y = 558 + -478. What is the greatest common divisor of y and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 914380 to the nearest integer?\nAnswer: 956","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 125?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5\/(-3)*-3)\/(3\/6). Let t be i\/(-25) + (-36)\/10. List the prime factors of t + (306\/12)\/(1\/4).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + c)*(4*c - 6*c + c)*(1 - 4 - 5)*(-1 + 3 - 1) as m + s*c**2 + x*c and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -248.4 - -157. Let c = s + 90. Let m be (-27)\/33 + 2\/(-11). What is the third smallest value in c, 2, m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) 15 (b) -2\/9 (c) 1901 (d) 4 (e) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/105 less than 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 21\/(-6)*8\/(-2). Suppose 2*n - 60 = -3*n - 5*c, -2*n = 4*c - l. Calculate the remainder when n is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 2*b = -10, 4*b + 44 = -5*p + 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/4215 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 567052259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 282798 to the power of 1\/3, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-32) + 42\/8. Suppose 5*r - 2*h = -1 + 2, -h = -5*r + 3. Put 0, r, b in descending order.\nAnswer: b, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) 0.5 (b) -1\/3 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 14*u - 10*u. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 310 + -5892\/19. Let y = 598 + -1792\/3. What is the smallest value in -1, r, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4*n**3 - n**2 + 3*n + 1. Is o(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15152, -12098, -9044, -5990, -2936, 118?\nAnswer: 3172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -p + 20, -2*f = p - 32. Solve -2*i - 6 = -f for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a*b**3 + 8*a*b**2 + 12359*a*r - 172*b**3*r**2 + b*r**2 wrt b?\nAnswer: 6*a*b + 16*a - 1032*b*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**2 + 2*a + 14. Does 19 divide c(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -140793979\/406 + 346783. Find the common denominator of p and -69\/1160.\nAnswer: 8120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.5 - -1.57. Let k = -0.03 - q. Which is the closest to k? (a) -0.5 (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 10 - 1 = 0. Suppose 29 = 10*v - 41. Let k = v + p. What is the least common multiple of 6 and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 142367 and 32509?\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 9*l - 16. Let m be q(6). Solve -22*a**m - a**2 + 3*a**2 + 0*a**3 - 16 - 2*a**3 - 34*a = 0.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29*c**4 - 156151*c**3 - 10269690*c**2.\nAnswer: 696*c - 936906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8134838, 8134845, 8134866, 8134907, 8134974?\n\"Answer: h**3 + h**2 - 3*h + 8134839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 44\/12 + (-1)\/(-9)*3. Suppose 0*r = -4*r + 5*g - 11, 0 = -3*r + j*g - 9. Let l(s) = -s. Let o(i) = 4*i**3 + i**2 - 6*i. What is r*o(u) - 5*l(u)?\nAnswer: 4*u**3 + u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -0.24, -2, -21?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -c - 22. Suppose -c + 41 = 3*l. Calculate the remainder when 5 + 25 + -5 + 2 is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 475670753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -378\/642431 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 435034.7589 - 435013. Let d = -4.2365 - i. Let f = 26 + d. Round f to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -82.1, -3, 14, 14\/11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 16 = -3*x - 23, -2 = 2*x. Let k = q - -82. List the prime factors of k.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -31, -86, -193, -370, -635, -1006, -1501?\nAnswer: -2138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -272 (base 10) to base 2.\nAnswer: -100010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -198, 4 in descending order.\nAnswer: 4, 0, -1, -198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s + 1. Let a(y) = y + 1. Let h(b) = 4*b + 6. Let z(m) = 14*a(m) - 2*h(m). Let f(g) = -16*k(g) + 5*z(g). What are the prime factors of f(-12)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -51 - -69. Let x = u + -16. Find the second derivative of -32*q**2 + x*q - 19*q + 14*q**2 wrt q.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -60*r**4 - 1 - 21*r**4 - 897*r**2 + 44*r**5 + 3*r + 854*r**2 wrt r?\nAnswer: 2640*r**2 - 1944*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 5:30 AM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*(-8)\/96*(-2)\/6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbqabbabbbbbqbqbbb. What is prob of picking 1 q and 2 a?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2*-38289\nAnswer: 76578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11 less than 0.065?\nAnswer: 0.175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 68\/(-18) + 50\/(-225). Let p(o) = 1. Let t(w) = 3*w - 4. Let d(j) = v*p(j) - t(j). Let z(r) = -11*r**2. Calculate z(d(i)).\nAnswer: -99*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 0)*(-4 - 15). Let d = r - -53. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 57 - 45. Let r be 40\/18 - g\/54. Let o be (-39)\/(-12) + (r - (-18)\/(-8)). Solve 2*h - 4 = o*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(280\/(-7))\/(-8)*(-8)\/(-28)\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + -5. Let m(u) = 3*u**2 - 2*u + 3. Let o(r) = -6029*r**3 - 6 + 5*r - 5*r**2 - 6*r**2 + 6030*r**3 + 4*r**2. Determine g*m(z) - 2*o(z).\nAnswer: -2*z**3 - z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 539981497?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 343*t - 339*t. Let c(y) = 2*y**2 + y + 1. Let n(s) = 2*s**2. Calculate t*n(r) + 2*c(r).\nAnswer: -2*r**2 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 48\/(-6)*1\/(-2). Suppose -4*q + 20 = q, 0 = r*j + 2*q - 104. Is 9 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -14*-1*1*-1. Let c be 7 + (-4 - -2) - 5. Let d = c - l. Calculate the remainder when 53 is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/17 (b) -1667 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of 32*s**5\/5 - 3*s**2 - 19. What is the second derivative of n(i) wrt i?\nAnswer: 384*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 99073 and 29?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002843622631 rounded to seven decimal places?\nAnswer: 0.0000284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + -5 + 9 - (-23 - -6) - 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v + 6. Let n be w(6). Let u be (-1)\/1*2*315\/(-14). What is the highest common factor of u and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -82 + 115. Let z = -1 + t. Suppose 2*c - 3*c + z = 0. Calculate the greatest common factor of c and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -6 and -402224.0632808.\nAnswer: -402230.0632808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 2*b - 31 = 0, 5*j + 603 = 3*b + 637 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17012455 to the nearest integer?\nAnswer: 4125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -6*h**2 + 40*h + 24. Let w(t) = t**2 + 7*t + t + 5 - 2*t**2. Let q(z) = -3*d(z) + 16*w(z). Suppose q(i) = 0. What is i?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 129265*c**2. Let i(x) = -x**2. Calculate i(d(g)).\nAnswer: -16709440225*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - (-6)\/2 - 43. Let b = u - -71. Is 2 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -6*p**2 + 354*p - 289. Calculate the remainder when 356 is divided by m(58).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91454790 a multiple of 1330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35 and 29115.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 + 8*l + 141. Determine c(16).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 20 = 4*v, 13 = 3*p - 5*p + 5*v for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 170 - 169. Solve 0 = -3*n + d - 10 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15120997 is divided by 127.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*u - 31*u = 8267347. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -53*b - 1. Let r be m(-1). Suppose a = -3*a + r. Solve 4*h = -3*v + 5, 2*v - 6*v + a = -h for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250*x + 224*x = -761124000. What is x rounded to the nearest one hundred thousand?\nAnswer: 29300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111950 is divided by 27980.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -5*z**2. Let y(n) be the first derivative of -n**2\/2 - 10. Determine p(y(f)).\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2538644773 to the nearest integer?\nAnswer: 1364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 10*p**2 + 21*p - 75. What is the hundreds digit of a(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*g + 4*g + 15*g - 21*g in the form n + c*g and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0950182 and -5?\nAnswer: 0.475091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c + 26. Let d(z) = 7*z + 51. Let m(r) = 3*d(r) - 5*v(r). Let t be m(-4). Put -3, 0, t, -2 in ascending order.\nAnswer: -3, -2, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35462802 a multiple of 271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -25*q**3 - 9*q**2 - 11*q + 7. Let n(f) be the first derivative of -4*f + 5\/3*f**3 + 3*f**2 + 162 + 13\/4*f**4. Calculate -6*b(u) - 11*n(u).\nAnswer: 7*u**3 - u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -268*d - 119.\nAnswer: -268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 g when four letters picked without replacement from dggdgdogo?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 16*f**3 - 13*f**2 + 3*f + 11. Let a(m) = 6*m**3 - 5*m**2 + m + 4. Give -11*a(d) + 4*o(d).\nAnswer: -2*d**3 + 3*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/11 - 468*u\/11 - 1422\/11.\nAnswer: 2*(u - 237)*(u + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 4*q**2 - 2*q + 1. Let i be h(1). Let v(b) = -b**2 + b + 1. Let d be v(-1). Let a = d + i. Solve 0 = n - 3*f - a*f - 15, -3*f - 26 = -4*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 48 - 44. Suppose u*o = -2*t + o - 97, -5*t - 2*o - 215 = 0. Let p be t\/(-5) - ((-18)\/10 - -2). Solve -2*m = -4 + p for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -7*w**3 - 3*w**2 + 5*w - 4. Suppose 223*d - 236*d = -39. Let n(u) = 20*u**3 + 8*u**2 - 14*u + 11. Give d*n(o) + 8*y(o).\nAnswer: 4*o**3 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -352130 or -352120?\nAnswer: -352120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3 + sqrt(200)).\nAnswer: -20*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 + 5*z - 5*z + (-90*z + 223*z + 151*z)*(-z + 3*z - 4*z))*(4*z + 2*z - z).\nAnswer: -2835*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 36 (base 16) to base 11\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4577.5 - 4578. Which is the nearest to n? (a) 4 (b) -1\/4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.01, -4, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13453877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 445 + 35. Let j = v - 55. Let r = j + -6. Does 9 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37 and 1147?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24493161 by 8164387.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 4 = 7*b. Let w(s) = -2*s**2 + 15*s + 6. Let o be w(7). Calculate the remainder when (0 + b)*(o - 0) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46460 divided by 23230?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1142162202 a multiple of 2282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1521788783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - r**2 + 9*r + 24. Let f be n(-8). Let u = f - -417. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**2 + 15*n + 13. Let p be b(-6). Put 0, -1, p, 6 in descending order.\nAnswer: 6, 0, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -57170 - -742239\/13. Let q = -75 - z. Let j = 3 - 2. Which is smaller: j or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-26)*104\/40)\/(-111*(-12)\/180)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -4*m + 0*m - 6 + 5*m. Calculate q(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, k: 4, p: 2, e: 5, q: 3}. Give prob of sequence qqe.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -14. Which is the third smallest value? (a) -4 (b) 0.5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g - 33. Let i(m) = -4*m - 36. Let f(a) = -2*i(a) + 3*w(a). Let r(z) = z - 13. Calculate -4*f(k) + 7*r(k).\nAnswer: -k + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 14) to base 4\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o\/(o*o**23)*o)*o**(-3\/5) assuming o is positive.\nAnswer: o**(112\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85794 + 39427 = -3930*x - 794*x - 21223 for x.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 754.2 - 754. What is the nearest to -0.1 in -1, 0.5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -215408, -205002, -194594, -184184, -173772, -163358?\n\"Answer: b**2 + 10403*b - 225812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 1087406360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*m**4 + 180*m**3 - 247013*m**2 + 21*m + 1772645 wrt m?\nAnswer: -36*m**2 + 1080*m - 494026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*2 - (-15 - -16). Suppose -2*z = q - 11, -h*q + 23 = z + q. Let b = 1 - -1. Solve -4*a = -3*f + 14, -b*a = z*f + 2*a + 26 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54 * -3.02836\nAnswer: 163.53144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 0. Suppose -3*p = w*p - 5. Suppose 2 + p = -a. What is the nearest to 1 in -4, a, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*0.0279\nAnswer: 0.01395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - 2*i**2)*(0*i + 0 - 2*i - 2) to z*i**2 + d*i**3 + o + b*i and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -5*f + 46, 2*f + 14 = -r + 30. Calculate the lowest common multiple of 39 and f.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27374?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*y**4 + 7*y**4 + y**4 + 11 + 0*y**4 wrt y?\nAnswer: 60*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 250 + -44. Does 8 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**4 + 155*t**3 + 1335*t**2 + 2225*t + 1040.\nAnswer: 5*(t + 1)**2*(t + 13)*(t + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7870*b**2 + 322*b?\nAnswer: -15740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rlqyrrrqlrqjljqryqry. Give prob of picking 1 l, 1 q, and 1 y.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 13*w - 12. Let v be r(14). Solve -v*q = 3*y, -3*q + 3 - 4 = 5*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-29)\/(-6) - (-8)\/48. Suppose -4*q - 1 = 3. Sort q, 2, b in decreasing order.\nAnswer: b, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 207413363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -4*q**2 - 476*q + 60390. Give g(77).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*n = -42*n + 45 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*z + 125*z - 13833 = -52*z - 166*z for z.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.35 and -9798?\nAnswer: 9798.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -3.2 (c) 2\/11 (d) -3 (e) -1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*g + 2*n, -g - 5*n + 1 = 2. Suppose -t = 4*j + 1, 0 = 2*t + j + j - 4. Suppose -t*z = -z - 0*z. Solve -p = 3, -h + g*p = -13 - z for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 4153365.72 minutes?\nAnswer: 412.04025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.042646126 + -294.952643874. Let a = 295 + c. What is a rounded to 4 dps?\nAnswer: 0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(sqrt(3) + sqrt(9)\/sqrt(3)) + ((-1*sqrt(484))\/sqrt(11) + sqrt(44))**2.\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -276388, -2211086, -7462414, -17688688, -34548224, -59699338?\nAnswer: -94800346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15450\/11 + -1403. Let n(r) = 7*r**3 + 2*r**2 - 2*r - 1. Calculate the common denominator of q and n(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**3 - 2*u**3 + u**3)*(3*u + u - 2*u + (9*u + 32*u + 0*u)*(-3 - 3 + 4)).\nAnswer: 80*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47 + -58. Calculate the common denominator of t\/4 - (-2)\/4 and -15\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39722 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t - 3*t + 4 - 6 + 3. Let m be -2 - 0\/(2\/(-1)). Calculate h(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) - (sqrt(119) + sqrt(119) + (sqrt(119) - ((-1*-2*sqrt(119) - sqrt(119)) + sqrt(119)) - sqrt(119)) + sqrt(119)))\/(-3*sqrt(28)\/sqrt(4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q + 0*q + 0*q)*(0 + 2 - 3) + 4*q - 6*q - q + (q + 0*q - 6*q)*(1 - 4 + 1) - q - 3*q + 2*q to h*q + n and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 72*w - 77*w + 7905 = 0, -3*m - w = -4733. Is m a multiple of 394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3*f + 1. Let y be l(-1). Solve 0 = -3*s + 5*s + y for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(117) + (sqrt(117) - 3*sqrt(117)*1 - sqrt(117)))\/(sqrt(18)\/sqrt(50)))**2.\nAnswer: 5200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 5) to base 12\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 g when two letters picked without replacement from haapappaapaaghapau.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 69\/8747 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/4 - (-380)\/(-8). Let x = l + 70. Calculate the remainder when x is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**4 - 1 + 1)*(-53*p + 184*p - 80*p + 6).\nAnswer: 102*p**5 + 12*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32 + -220. Let q = m + 266. Calculate the greatest common factor of 35 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + 52*a + 5629. What is g(-54)?\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 45.7389 - 3.9259. Let h = m + -0.313. What is h rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -6. What is the common denominator of (1 - -34)\/(6\/z) and 93\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -123 (base 5) in base 16?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from uuvuuquiququvui?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42895?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 20 = -3*l. Let g be (-1 - -4)*l\/3. Let z(o) = o + 14. Let u be z(g). Which is the closest to 0? (a) -5\/6 (b) 1\/3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39794 + -39793. Suppose 5 = 5*h - 5. Suppose -4*v + 3*s = -32, -5*v = 7*s - h*s - 5. Sort 2, i, v in ascending order.\nAnswer: i, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-150)\/(-16) + 2\/(-8). Let h = 3\/26663 + -7439097\/1066520. Let a = s + h. What is the common denominator of -75\/8 and a?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 795\/75 - (-4)\/10. Let c be (2 - 4) + (2 - 4 - -2). Let p(g) = -3. Let j(z) = z - 14. What is c*j(o) + l*p(o)?\nAnswer: -2*o - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence il when two letters picked without replacement from {k: 3, i: 7, l: 4}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -46.48 to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -77*v + 233. Let d be z(3). What is the nearest to 0.2 in d, -3, 4\/43?\nAnswer: 4\/43","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5142, -10285, -15428, -20571, -25714?\n\"Answer: -5143*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -68, -111, -154?\nAnswer: -197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -80*s**3 - s**2 + 2. Let p be 10\/(-35) + (0 - (-36)\/(-21)). Does 58 divide u(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.5 to 1 dp.\nAnswer: 4.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dyviyzjd. Give prob of sequence dyid.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*o + 56*o = 0. Let b be (-10)\/18 - (-4)\/18. Let g(x) = x - 3. Let m be g(-3). Sort o, b, m in decreasing order.\nAnswer: o, b, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of -g**5\/60 + g**4\/3 - g**3\/6 - 2*g**2. Suppose 16 = -4*d, -4*n + 478*d - 476*d + 40 = 0. What is i(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 u when four letters picked without replacement from {u: 2, c: 7}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23423 + 11945719\/510. Find the common denominator of 22\/45 and x.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v**2 - 4*v. Let x(w) = 15*w + 2*w + 4*w**2 + 1 - 12*w. Give -3*m(j) - 2*x(j).\nAnswer: j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2865*c**3 - 2*c**2 - c - 8624 wrt c.\nAnswer: -8595*c**2 - 4*c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**2)**(14\/5)\/(q\/(q*q\/(q**(-7)\/q))*q*q**(1\/3))*(q**(-2))**(4\/11)\/(q**(-2))**(-26) assuming q is positive.\nAnswer: q**(-6049\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - q)*(0*q + q - 3*q) - 3*q**2 + 0*q**2 + 2*q**2 + 2*q**2 + 2*q**2 - 2*q**2 - 14*q**2 + 23*q**2 - 15*q**2 - 2*q + 0 + q**2 + 0.\nAnswer: -2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 73, 157, 217, 217, 121, -107?\n\"Answer: -6*y**3 + 24*y**2 + 54*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(160\/158 + -1). Suppose -d = -o + 32. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90 and 6230646.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3494.31 and -3.\nAnswer: -3497.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11078 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.02, -146, -0.2, 1?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*x - 1. Suppose -x*m - 21 = -125. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 512590*a**2 + 81897.\nAnswer: 1025180*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 75.859 in 0.2, -0.9, 0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -134, -546, -1234, -2198, -3438?\n\"Answer: -138*t**2 + 2*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*p = -113*p - 2458 - 1340 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (6 - -1 - (5 + -3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 - 396 = -4*n. Let h(d) = -45*d**3 - 3*d**2 + 2*d + 2. Calculate the smallest common multiple of h(-1) and n.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 18 = -3*u, -4*w + 11 = -u + 7. Solve -u*y + 2 = 22 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36*(-11)\/(-1232)*(-8)\/(-24).\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -205, -396, -587?\n\"Answer: -191*c - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15475 to the power of 1\/2, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13959249, -13959247, -13959245, -13959243, -13959241?\nAnswer: -13959239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(2) + sqrt(8)))**2 + 1 + sqrt(32) + 2.\nAnswer: 4*sqrt(2) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-1)*(1\/(-2))\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11929 and 151?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/19)*d**(-5\/6)\/d)\/(d**(-2\/5))**(9\/4) assuming d is positive.\nAnswer: d**(-296\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2. Let h(n) be the first derivative of -n**3\/3 + n + 5. Let d(r) be the first derivative of h(r). What is x(d(m))?\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-30)\/i**(3\/13))\/(((i*i*i*i**(-3\/4)*i*i)\/i)\/(i*i**22)))**(-13) assuming i is positive.\nAnswer: i**(545\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(52) + -1))**2 - ((-1 + sqrt(13)*1)**2 - sqrt(39)\/sqrt(3)*-3).\nAnswer: -65*sqrt(13) + 834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 625353755*g**3 + 435424715*g.\nAnswer: 3752122530*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*a = -1089, -t - 4*a + 3283 = 2*t. Suppose -2*d = -4*d - 3*r + t, -3*r + 15 = 0. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 36 - 35 - 6*a + 7*a. Let u(j) = j**2 + 4. Let d be (-23)\/(-7) + 2\/(-7). Let w(z) = d*g(z) - u(z). Give w(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -3*u + 4*n - 6, -4*n + 8 = 0. What is the highest common divisor of u and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**4\/3 - 25162*u**3\/3 = 0. What is u?\nAnswer: 0, 12581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-4*(-14)\/480)\/((-427)\/(-183))\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 22 (b) 4 (c) 0.003 (d) -202 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 3 = -2*h. Let y = 0 - 0. Suppose -4*n + 4*l + 23 - 7 = y, l = h*n - 14. Let j(x) = x + 8. Let f(c) = c + 7. Calculate n*j(a) - 6*f(a).\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p + 3*p - 6*p)*(-2 + 2 - p)*(4*p**2 - 4*p**2 + p**3).\nAnswer: -p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, i: 3, f: 1, n: 2, u: 3}. What is prob of sequence ii?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 58*l**2 + 532*l - 65. Determine w(-9).\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0013849 to 4 decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/5 + 21\/15. Is 110\/25*d*5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-5)*(-220)\/(-198). What is the closest to 0.2 in 2, k, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -12*a**2 - 244*a - 1013. Calculate b(-4).\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*t + 67*t - 48 = 0. What is the nearest to t in 5, 2.2, -1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1488 and 666295152?\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 6:01 AM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 454 and 54707?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (18 - (9 - -10)) - -10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 6:46 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 33*h**2 + h + 1. What are the prime factors of l(-1)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4800)*-3 - sqrt(48))\/(sqrt(72)\/sqrt(6)*4))\/(sqrt(10)\/(6*sqrt(180))*5).\nAnswer: -279*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13071422*q = 13071226*q + 8624 for q.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17916, -36463, -55010, -73557?\nAnswer: -92104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**4\/5 + 687*g**3 + 6887*g**2\/5 - 44691*g\/5 + 6874 = 0. Calculate g.\nAnswer: -5, 1, 2, 3437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7771952.\nAnswer: 2, 59, 8233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jzztjjjjyjzzzjzjyjjz. Give prob of sequence yzzy.\nAnswer: 7\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 977190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -4 (b) 0.5 (c) 4\/7441 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93562 - 11023 = 2559*c - 221484 - 10734 for c.\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 29 = -y - l, 4*y - 64 = 5*l. Let s be 3*18*3\/(-2). Let x = s - -122. Calculate the remainder when x is divided by y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/15)*x*x**(1\/5)\/x*x)\/(x**(1\/4)*x*x**(-1\/5)\/x*x))\/(x*x\/(x\/x**(-3))*x**2*(x*x\/x**(-3))\/(x*(x**2*x)\/x)) assuming x is positive.\nAnswer: x**(-119\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 26416 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, t: 1, q: 5, i: 4, e: 1}. What is prob of sequence ts?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 47937293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(72) + 1*(1 + sqrt(2))**2 - (4 + (4*sqrt(10)\/sqrt(5))**2).\nAnswer: -33 + 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 6\/7, 8\/15, -4\/9, -0.008?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 5*l - 55 = 0, 3*l + l = -3*u + 12. Calculate the lowest common multiple of u and 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4*r + 6 + 2 = 0, -5*r = x + 3. Let o(t) = t - 2. What is the remainder when x is divided by o(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 653 - 21553\/33. Let g = p + 94\/231. Let k = -1753\/6 + 585\/2. Which is the smallest value? (a) k (b) -1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 33\/(-36) - 18\/54.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + j + 29 = -5*f, 24 = j - 4*f for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 5*o - 4. Let h(u) = 3*u**2 + 10*u + 9. Let j(y) = 5*g(y) + 2*h(y). Let i = 13 - 0. Suppose 5*v - s = 26, -35 = -5*v - 3*s - i. Give j(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*y**3 - 8*y**3 - 22*y**3.\nAnswer: -11*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 4 = 2*l. Let i(d) = -3*d**3 - 5*d**2 + 2*d - 2. Let u(w) = 16*w**3 + 26*w**2 - 11*w + 11. Calculate l*u(s) + 11*i(s).\nAnswer: -s**3 - 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express g**4 - 2*g + 312 + 6*g**2 - 306 - g**3 - g**3 in the form u*g**3 + p*g**2 + b*g**4 + z + c*g and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/10*(-377)\/39. Let k = 28\/3 + d. Factor 0*t**3 + 4\/5*t + k*t**4 + 0 - 8\/5*t**2 - 4\/5*t**5.\nAnswer: -4*t*(t - 1)**3*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6932648?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**2 + 22*k - 3. Give h(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 14 (b) -5 (c) -2 (d) -19\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - (-2 - -6) - -4. Factor 2*l - 2*l**4 - 5 + 0 - 2*l**5 - 4*l**3 + a + 4*l**5 + 4*l**2.\nAnswer: 2*(l - 1)**3*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -101 - -107. What is the remainder when 6 is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*n + 11*n - 32*n.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of x**7\/735 - x**6\/420 - x**5\/210 + x**4\/84 - 12*x**2. Find w such that k(w) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5566?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -5*b**2 + 12455300*b - 7756724904500 = 0.\nAnswer: 1245530","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -48961000 to the nearest 1000000.\nAnswer: -49000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30.61169 micrograms to milligrams.\nAnswer: 0.03061169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19359, -19346, -19309, -19236, -19115, -18934?\nAnswer: -18681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (98\/(-63))\/(1*2\/(-18))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -139*y - 283*y - 673*y - 186*y - 278*y in the form b + m*y and give m.\nAnswer: -1559","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 287 (base 12) to base 4\nAnswer: 12013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6138227517 to the power of 1\/3, to the nearest integer?\nAnswer: 1831","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 2*y + 15 = 0, 2*y - 7 = -3*r + 4*y for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 4314419553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/204*17*2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p - 0*p + 276 - 260, 4*t - 24 = -p for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and 36.89?\nAnswer: 35.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -41963 at most as big as -41963?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 + 0*h + 16 + 4*h**2 + h as i + y*h**2 + a*h and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-14)*2\/(-6).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 2*f. Suppose -j + 5*j = 8. Let v be 1 - 1 - (-4 + j). Let a be x(v). Sort -3, a, 2 in descending order.\nAnswer: 2, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 + 12 = -12*c. Solve -c*p - p - 5*a = -10, p + 2*a - 3 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -10. Let s be (-1)\/((-18)\/14) - 1. Put s, 2\/9, q in increasing order.\nAnswer: q, s, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -21, -20, -15, -6, 7, 24?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -15 + 19 + -1 + 12. Let k(i) = -i**3 + 15*i**2 + 2*i - 4. Calculate the remainder when k(w) is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**8)\/q*q**(-11\/4)\/q)\/((q*q\/q**(5\/2)*q)\/(q\/q**(4\/7))) assuming q is positive.\nAnswer: q**(117\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8789 - -9027. Solve 225*n - 52 = u*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 23465, 46835, 70205?\n\"Answer: 23370*o + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.78 + -5.6588. Let y = -0.12863 + x. What is y rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 1\/7, 5, 150579.\nAnswer: -2, 1\/7, 2, 5, 150579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 b when three letters picked without replacement from {b: 2, g: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 7103884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 4*l + 92 = 0, -3*l + 51 = 26*j - 24*j. Suppose 2*k = -j*k. Solve -i = -k*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 1)*(-4*f + 3*f + 3*f + 0 + 2*f + 0 - 1 + f + 1 + 2*f + 0*f - f + (-2*f + f + 2*f)*(-2 + 2 + 2) - 2*f + 6*f - 2*f).\nAnswer: -30*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 753950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 5901?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -8*p. Let o = -25 + 48. Let k(u) = 42 - u - o - 19. What is s(k(a))?\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3 + 1 + d + 4 wrt d.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31539023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 2*z + 5. Let v(s) = z - 6*s - 2 + 5*s. Let h be v(-3). Solve -3*c = h*q + 11, -5*q - 4*c - 9 = 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -15. Let q(p) = -p + 15. Give 3*q(z) + 4*t(z).\nAnswer: -3*z - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 457214?\nAnswer: 2, 29, 7883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -28886.\nAnswer: -14443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2087*z + 21985*z - 220*z)*(-1 - 2*z**2 + 0*z**2 + 2).\nAnswer: -47704*z**3 + 23852*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-2)*w*w**(-7))**(-46)\/((w**(2\/7))**(1\/18))**(-49) assuming w is positive.\nAnswer: w**(1249\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**3 - 5*l**3 - l**3.\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y + 1. Let o be a(4). Suppose -1213 - 637 = -2*d + 4*c, -3685 = -4*d + o*c. Let u = d + -10967\/12. What is the common denominator of 71\/16 and u?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3319002967 + -184.\nAnswer: 3319002783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 - r)*(-2*r - 7*r + r)*(2 + 2 - 2)*(-123 - 14 + 17).\nAnswer: -1920*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.37 + -0.349. Let o = 14.379 + m. Let l = 17.4 - o. Sort l, -2, 2, -4.\nAnswer: -4, -2, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 23364\/(-16) - ((-45)\/20)\/9. Let s = -3103\/4914 - 4\/351. Calculate the common denominator of ((-17)\/(-3))\/(n\/(-150) - 10) and s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/12 - 996040\/(-60)) + 8 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 g when two letters picked without replacement from {v: 1, r: 1, c: 1, g: 1, l: 1, f: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -46952417*g + 7915. Let v be j(-5). What is v rounded to the nearest 1000000?\nAnswer: 235000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gww when three letters picked without replacement from gpuwgpggwugggugg.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 1:05 PM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -235 - -388. What is the remainder when z is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w**3 - 282*w**2 - 2074*w - 870. Give m(-86).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 0*n + 4 + 3*n**2 - 8*n**3 - 2*n**3 + 5*n + 0*n**3. Let u be x(-2). Sort -3, u, 0 in decreasing order.\nAnswer: u, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**5 + 0 + 0 - i**5 - 3*i + 3*i + (-4*i**2 - 3*i**2 + 5*i**2)*(i**2 - i**2 + 2*i**3) + (3*i**2 - i**2 + 2*i**2)*(-i**3 + 3*i**3 - 5*i**3).\nAnswer: -18*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 605215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -8320 to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*r, -2*u - 3*u + 15484 = -3*r. List the prime factors of u.\nAnswer: 5, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6151 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -61\/9. Let p = -0.118 + 0.188. Sort a, 0, 3, p in increasing order.\nAnswer: a, 0, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 112021221?\nAnswer: 112022000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -7 and 583.\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1584*f - 454*f + 1428*f)*(2*f**4 - 5*f**4 + f**4).\nAnswer: -5116*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54674004 divided by -77.\nAnswer: 710052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(84)\/(sqrt(6)*1 + sqrt(6)))\/(sqrt(14)\/sqrt(72) + sqrt(7)) + 3.\nAnswer: -2 + 3*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 55710116.0000005 + -55710128. Let v = y - -12. What is v rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(17) + sqrt(459)\/sqrt(3).\nAnswer: 4 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 10*v**2 - 24*v. Let h be o(-12). Let f be 2\/(-3)*18\/(-38). Which is greater: f or h?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 38 and -1?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d - 3 + 6*d - 4 - 2*d. Let w be q(6). Suppose t + t - 27 = 5*p, -w*t = 3*p - 83. Calculate the remainder when t is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**4\/4 - 295983*g**3\/2 - 3699667*g**2 - 42323697*g\/2 + 100038029\/4 = 0.\nAnswer: -591941, -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*o**2*q**3 - 3397*o**2*q*u**2 - 31*o**2 + 2*o*q**3*u**2 + u wrt u?\nAnswer: -6794*o**2*q + 4*o*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 29 + -40 - (3 + -7 - 5).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 542 is divided by 170.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.32 - 0.02. Which is the closest to -2\/9? (a) 5 (b) z (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15861 * -3.2\nAnswer: -50755.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2074 and 344406?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*j - 3*j + 5*f - 105, 0 = 5*f + 20. Solve -8*v + j = -3*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.19 times -9.09\nAnswer: -1.7271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872) + (sqrt(1872) - (sqrt(1872) + 3 + -5 + sqrt(1872))))*5)**2*-1.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000022917 rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64088 and 176242.\nAnswer: 704968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/11 less than or equal to 78?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -1\/12*a**4 + a**3 + 5\/2*a**2 + 2*a + 0. Is 10 a factor of q(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*r**2 - 15*r**2 - 216*r**3 + 203*r**3 - 56*r wrt r?\nAnswer: -78*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 85 and 3034915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 7*i - 6*i. What is the remainder when -8 - -5 - (-168 - (i - 5)) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-8)\/3)\/(3*(36 + 16288\/(-288)))\nAnswer: -2\/185","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2003102 (base 4) to base 15.\nAnswer: -2752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.4 (b) 3 (c) 0 (d) 3\/4 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.3 + 4.34. Let t = 2.7 + -0.66. Let s = t - x. Which is the nearest to s? (a) -0.2 (b) 4\/5 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 4*r**2 - 3*r**2 - 2*r**2. Let f(c) = -2*c. Let g(q) = -7*q. Let k(d) = -11*d. Let t(s) = -8*g(s) + 5*k(s). Let v(n) = 6*f(n) + 11*t(n). Give v(l(b)).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 5*i**2 - 630*i + 19845 = 0.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 79*h**2 - 188*h + 1. What is p(3)?\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-6) + (3 - (-7084)\/(-294)) + 10\/105.\nAnswer: -47\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.73712 decades in centuries?\nAnswer: 1.173712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + 1 + -5 - (-455)\/105. Solve 1\/3*u**2 + 2\/3*u + a = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 100536 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1512 and 582792.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 132\/((15\/(-2))\/(-5)). Suppose l = -2*j - 2*b - 4, 5*j = b - 200. Let z = -14 - j. Is z a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 7*w**3 + 5*w**2 + 5*w + 5. Suppose 5*p + k + 0 = -22, 2*p - 3*k + 19 = 0. Let c(a) = a**3 + a**2 + a + 1. Calculate p*c(m) + q(m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 3*n**2 - 1. Let i be f(-2). Suppose -i*h = -4*h + 2. Solve -h*z + 4*z = 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 0*n + 4*i + 12, i + 3 = 5*n. What is the second smallest value in -3\/2, n, 17?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2\/2 + 3*a + 45\/2.\nAnswer: -3*(a - 5)*(a + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 8:04 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-108)\/(-81)*(-84)\/(-16).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12549743.6 - 3013929.4. Let y = s + 15563672.43999922. Let m = 0.56 + y. What is m rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29619 divided by 21\nAnswer: -9873\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 9*h**2 - 376211379*h + 125403792 = 0.\nAnswer: 1\/3, 41801264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 14*z**2 - z - 13. Let o be m(-14). Let c = 17.42 - 14.42. What is the smallest value in -0.5, 2, o, c?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -202 + 1201\/6. Calculate the common denominator of n and -69\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 5*i - 4*d, -2*d = -i - i + 22. Suppose -3 = q - i. Solve 2*x - 8 = q*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73606474.\nAnswer: 2, 36803237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -144 + 148. Suppose j*w = -5*u + 1429, -w + 3*u + 687 = w. List the prime factors of w.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -232912 divided by 4.\nAnswer: -58228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/(-351)*6399\/(-158).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -81 - -172. Suppose -18 = -3*x + 21. Calculate the highest common factor of s and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + 0 - 9) + 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-18)\/7)\/((-16)\/112). Solve 0*v - 90 = -o*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1956*g**3 - 531*g**3 - 810*g**3 - 551*g**3.\nAnswer: 64*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of x**6\/240 - x**4\/96 + 28*x. Find a, given that p(a) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 116, 238, 360, 482?\nAnswer: 604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3178*s - 175616 - 37930 + 45112 = 0 for s.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6034 - -6044. Solve 3*u + 45 = r*x, 4*u + 14 = 2*x - 4*x for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -872040 by -16770.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(77)*3 + (sqrt(77) - (sqrt(77) - (sqrt(77) - (sqrt(77)*1 + sqrt(77))*4))))\/((3*sqrt(1008) - sqrt(7)) + (sqrt(112)*1 - sqrt(112))).\nAnswer: -19*sqrt(11)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10101 (base 2) to base 5.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5133831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/3))**(2\/33)*(s\/(s\/(((s\/(s\/s**(2\/3)))\/s*s)\/s)))\/s**7 assuming s is positive.\nAnswer: s**(-730\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13115 is divided by 202?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17 and 17\/1102.\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -256*h**3 + 129*h - 1. Let b(k) = -1280*k**3 + 647*k - 5. Let f(y) = 2*b(y) - 11*d(y). What is the second derivative of f(p) wrt p?\nAnswer: 1536*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71 - 81*n + 71 - 107*n + 25*n.\nAnswer: -163*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -443, 3, -5 in descending order.\nAnswer: 3, -5, -443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - ((16 - -11) + -18)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j + 6. Let x be p(10). Let d be (x - -3)\/(3\/(-447) - 0). Suppose 0 = -5*t + 3*c + 766, t = -c + 3*c + d. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p - 14 = 4*p. Let q(l) = 6*l**3 - 4*l**2 + 5*l - 4. Let h be q(p). Calculate the highest common divisor of h and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h**3 + 7*h**2 - 35*h + 103. Calculate w(4).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 6:04 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1219 (base 12) in base 10?\nAnswer: -2037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4289 divided by 1?\nAnswer: -4289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -18*v**3\/7 + 3*v**2 + 18*v\/7 - 3 = 0.\nAnswer: -1, 1, 7\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(22\/(-8) - -3). Let r = o + 2. Let v = -9 + r. Solve 15 = v*x, 0 = l - 0*x + x + 2 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 + -32. Solve 0 = -i + y*r, 2*i + 5*r + 7 = 2*r for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + 6*n - 1. Let y be a(-6). Let j be (y\/1)\/((-2)\/(-10)). Do j and -4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l**3 - 5*l**2 + 15*l - 16. Calculate d(3).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - 190866577?\nAnswer: -190866577.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4 - 4 = 0. Let n(a) = -1 - 4*a**3 + x*a**2 + 6*a**2 + 3*a**3 + 6 - 9*a. Let l be n(9). Put -5, -4, l in ascending order.\nAnswer: -5, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1871*u + 5*u**2 - 3*u**3 + 566*u - 4 + 4.\nAnswer: -3*u**3 + 5*u**2 - 1305*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -5*n**3 - n - 1. Calculate the remainder when 17 is divided by x(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4803.595 rounded to zero decimal places?\nAnswer: 4804","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**3 - 70*z + 29. Give a(-8).\nAnswer: -435","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 5*m - 10. Let q(c) = 15*c - 31. Let l(r) = -8*j(r) + 3*q(r). Suppose 15 = 2*v + 3. What is the remainder when 32 is divided by l(v)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, z: 1, q: 1, w: 2, u: 1, a: 1}. Give prob of picking 1 q and 1 p.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7855500*s - 7855495*s - 110 for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 2\/3, -0.06, 1 in decreasing order.\nAnswer: 1, 2\/3, -0.06, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (90180\/(-2970) + 37)\/((-1)\/(-11))?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -7) + (1 - 3) + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*x + 20 = 2*x, 0 = 4*n + x + 15. Let o = n - -18. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**3 + 368615*b**2 - 1105852*b + 737236 = 0?\nAnswer: -368618, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19747 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2694969967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43410 (base 5) to base 10.\nAnswer: 2980","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25517 = -2116*l + 71819 for l.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a gram in milligrams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/7 and -805725 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26413607 to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288 = -80597*r + 80645*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -11. Let a be 15\/6 + (-2)\/(-4). What is the third derivative of 2*r**3 + r**q - r**3 + 0*r**2 + 2*r**a wrt r?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 238224, 238221, 238218?\n\"Answer: -3*n + 238227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, i: 3, q: 3}. What is prob of picking 2 i and 2 o?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of u**5\/20 + 17*u**4\/12 + 9*u**3\/2 - 45*u**2\/2 - 32*u - 8. Find b such that c(b) = 0.\nAnswer: -15, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1210.1614 times 38\nAnswer: -45986.1332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of l**3\/3 + 7*l**2\/2 + 3*l - 5. Let k be j(-6). Let x(q) = q**3 + 5*q**2 - 6. Let o be x(k). Solve -2*s - o = s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*b + 10 - 3 - 10*b in the form j + p*b and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 280.45g in milligrams?\nAnswer: 280450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -7, -15, -25, -37, -51?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f - 3*f - 2*f**2 + (45*f + 39*f - 4*f - 1)*(-3*f + 3*f - 3*f)*(1 - 2 + 2) to the form h*f + n*f**2 + r and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1935, 1782, 1629?\n\"Answer: -153*s + 2088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 4*k + 14 = 0, -5*k + 15 = d + 4*d. Find the first derivative of -4*p**d - 3 + p**2 + 1 wrt p.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28924867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y**2 - 30*y + 1. Let d be c(10). Suppose -q = 2*q - 27. Calculate the greatest common factor of d and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(5) - (sqrt(405) - sqrt(405)*1)**2)*4*-3.\nAnswer: -60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 135898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of -3*k**8\/14 + 23*k**6\/120 - 6781*k**5\/60 - 6*k**2 + k - 8. What is the third derivative of t(d) wrt d?\nAnswer: -4320*d**2 + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k*(k*k\/k**(-3)*k)\/k*k))**(13\/4)*(k**2*k)**31 assuming k is positive.\nAnswer: k**(307\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -3.5. Let x = 2.4 + -2. Let o = 6 + -10. What is the third biggest value in o, x, z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2463 = -3*g - 2*w + 5*w, -2*w + 4133 = 5*g. Suppose 832*s - 42 = g*s. Let l(c) = -c**3 - 6*c**2. Let n be l(-6). Solve n = 5*i - s - 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 5*j - 15, 2*j + 3*j = l + 30. Suppose -2*d = 5*b - 85, -4*b - 1 + j = 0. Suppose 4*r + d = m - r, -2*r = -m + 31. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*b**2*h*p + 1820*b**2*p**2 - b**2*p + b*h*p**2 + 52*b*h - b*p**2 + 23*h - 26*p**2 wrt b?\nAnswer: -40*h*p + 3640*p**2 - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10251, -10400, -10547, -10692, -10835, -10976, -11115?\nAnswer: -11252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 7*a**4\/2 - 5*a**3\/2 - 15*a**2 + 10*a + 4 = 0.\nAnswer: -2, -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 465?\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 55878 and 18.\nAnswer: 167634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2224051\/35 + 63538. Let q = 1932 + -9627\/5. Let m = q + k. What is the smallest value in -3, -1\/3, m, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2*o**3 + 6786*o**2 + 7674966*o + 2893462182 = 0.\nAnswer: -1131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 5:50 PM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 43\/4 of a gram?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/98)\/(5*21\/490).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 5*r - 5*u - 21, -2*r + 2*u = -12. Is (-4)\/r - -2 - (-8364)\/36 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -7*s**5\/20 + s**3\/2 + s**2\/2 - 26*s - 23. Let y(a) be the first derivative of m(a). Let h be y(-1). Solve -1 = -g - h for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.25 + 0.365?\nAnswer: 0.115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4844.008nm in micrometers?\nAnswer: 4.844008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((6 - 6)\/1)\/(-1). Suppose -39*a + 35*a + 256 = t. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 5:47 PM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -10 - (-150 + 127)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1388811.\nAnswer: 3, 462937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4003574 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -111, -115, -119, -123?\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 4*j - 393. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -73087.\nAnswer: -292348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2\/4 - 2811*s\/2 + 2808.\nAnswer: 3*(s - 1872)*(s - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/3 - 55160*q\/3 - 1119106.\nAnswer: -2*(q + 61)*(q + 27519)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 139860431 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - h + 3. Let r(t) = -383*t**2 - 33*t - 23. Let q(c) = r(c) - u(c). Find the second derivative of q(g) wrt g.\nAnswer: -768","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 g when three letters picked without replacement from {g: 3, r: 3, z: 2}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -339*v - 76. Let o(l) = -281*l - 76. Let k(w) = -6*o(w) + 5*s(w). Give k(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1563, 3, 64, -1\/4 in decreasing order.\nAnswer: 64, 3, -1\/4, -1563","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000000251676 to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02359 in 0, -0.637, 32, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/6 + (-1864)\/(-6). Suppose -3*w = -3*u - 240, 4*w + 5*u - p = -0*w. Suppose 2*t = w + 75. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4250358834.\nAnswer: 2, 3, 708393139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -162*f**5 - 9*f**4 - 42*f**3 + 12*f**2 - 595*f + 6 wrt f.\nAnswer: -9720*f**2 - 216*f - 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 188040281 to the nearest one hundred thousand.\nAnswer: 188000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 366 + -76. What are the prime factors of p?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5495 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/2)\/((-5)\/50). Let m be ((-9)\/6 + 2)\/(f\/(-750)). Which is smaller: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 3*u - 3, 2*i - 6*i - 5*u = 27. Let h be (i + 5 - -2) + -4. Solve 5*q + 25 = -h*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 5*y - 23, 0 = 3*d + 4*y + 6 - 0. Suppose -2*k - 16 = -4*h, 2*k = -h + 8 + 1. Suppose 7 - k = -5*g. Sort 3, g, d in decreasing order.\nAnswer: 3, d, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-2 + 2 + 1 + -2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 11*k - 445. Solve -k*w - 5 = -84*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41884 bigger than 41883?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -0*l - 160. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3023 + 3023.3424. What is n rounded to 2 dps?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 23385.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42162583 - 0.3?\nAnswer: 42162582.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + 5*(2 + -1). Suppose -p - 80 = -2*z. Is 14 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66869313?\nAnswer: 3, 7, 17, 79, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 + 19 + 19 - 30.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/7710 and -61\/17240.\nAnswer: 13292040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -174 + 425. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 251*r**2 - 162*r**2 + 88*r - r**3 - 137*r**2 + 3*r**3.\nAnswer: 2*r*(r - 22)*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.4000019 - 4.4. What is a rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1909603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 9, r: 3}. Give prob of picking 1 r and 3 w.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 10168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -57 - -64. Let l(a) = 11*a + 1. Let p be l(5). What is the highest common divisor of g and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3*4\/(-378)*1240\/22630 and 37\/72.\nAnswer: 36792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s - 3. Let k be z(-5). Let t be 1 + -2 + k\/4. Sort t, -1, 3 in decreasing order.\nAnswer: 3, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 86*o**2 + 5*o - 2754 wrt o?\nAnswer: 172*o + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14.1 + -3. Let w = 10 - d. Let t = 1.0986 + w. Round t to four dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 19972*n + 261251. Give t(-13).\nAnswer: 1615","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -3. Suppose 4*s + 357 = -5*q, -3*s + 2*q - 153 = 86. Is -1*(s - 0\/n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i + 11 = 25 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -1244423?\nAnswer: 1244413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1069263993 - -4?\nAnswer: -1069263989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10066097 - -10166761509\/1010. Let v be 2016\/1010 - (-4)\/(-2). Let w = k + v. Do w and 5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-4\/19))\/(p**(-4\/3)*p)*(p**(3\/4))**(-37) assuming p is positive.\nAnswer: p**(-5975\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-34)\/14*-1 + -2. Let d = 15069668 - 40929214901\/2716. Let i = d - -2\/679. What is the third smallest value in -1, i, x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1810)\/180 - 12\/(-216)) + 1\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39004036 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(648)*1 + sqrt(8))\/(sqrt(4) + ((sqrt(4) - (sqrt(4) - (sqrt(36) - sqrt(4))))*-6 - sqrt(4))) + -5.\nAnswer: -10 - 5*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8 (b) -1 (c) 2\/7 (d) 9\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(55\/6) - (33 + 359632\/(-11088)).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 0*a - 2*a**2 - 4 - 8*a + 12. Let s(k) = k**2 + 5*k - 5. Determine 8*s(x) + 5*t(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -523.00000443 + 523. Round y to seven dps.\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42658, -85318, -127978, -170638, -213298?\nAnswer: -255958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65)\/(sqrt(5) + sqrt(45)) - sqrt(13)) + 2)**2.\nAnswer: -3*sqrt(13) + 181\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - m. Let p(b) = 805*b - 8*b**3 - 399*b - 3*b**2 - 402*b - b**2. What is 4*h(r) + p(r)?\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -0.2, -3, 73?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 489849 to the nearest integer?\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 8:17 AM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 90 by -9.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 296*d - 30. What is the hundreds digit of t(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -43 + 155 + -59.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7049 and 1445843.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 104328 and 32085?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.3492743 rounded to three dps?\nAnswer: -3.349","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 127272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9 - -6) + 11\/66*21. Factor 0 - 1\/4*t**4 + 1\/4*t**5 + 1\/4*t**2 - 3\/4*t**3 + n*t.\nAnswer: t*(t - 2)*(t - 1)*(t + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-4\/9)\/s*s**2)**(-1\/6))**(-1\/30) assuming s is positive.\nAnswer: s**(1\/324)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 24 + 28 + 10*v - 52. Let s(c) = c. Calculate s(a(u)).\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 11*j - 75*j + 30828, -2*v - 5*j = -12496. Is 4 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7228 and 2580118.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 56*v**4 - v**3 - 9*v**2 - 890269*v wrt v.\nAnswer: 672*v**2 - 6*v - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f - 13*f = 20. Suppose -3*c - 16 = -f*c. Calculate the least common multiple of 20 and c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*a**2 - 112 - 95*a**2 + 25 - 3 + 2*a.\nAnswer: -187*a**2 + 2*a - 90","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11 - -b7?\nAnswer: c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ojgjjnonjegjjnojgq. Give prob of sequence gone.\nAnswer: 1\/2720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15040847*q**2 - 15040007*q**2 + 45121700*q**2 - 15040843*q**2.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 846 + 4360. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of -b**5\/20 + 13*b**4\/6 - 32*b**3 + 144*b**2 + 261*b - 2. Factor t(s).\nAnswer: -(s - 12)**2*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/30 and 79\/144823455.\nAnswer: 289646910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m. Let i(z) = z + 2. Let s be -2 - (4 + -4)\/(-4). Let d(a) = -1. Let f = -3 + 2. Let b(y) = f*i(y) + s*d(y). Give b(c(o)).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 368546832 is divided by 3183?\nAnswer: 3177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 9212*h - 55046. Calculate z(6).\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - s - 18 = -6, -5*f = 2*s - 48. Suppose -319 + 31 = -f*t. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4262d (base 15) to base 13\nAnswer: -74b54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 61 - (17 + 39) - -73\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 77.3, 1\/3, -2\/11, -2 in ascending order.\nAnswer: -2, -2\/11, 1\/3, 77.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3*2603491\nAnswer: 7810473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 15. Suppose o - a = -4*s, -3*o - 6 = s - 14. Suppose x = 4*j + 13, 2*x + o*j = -3*j. Calculate the remainder when 19 is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 2*d - 10 = 0, -5*d = 3*x - 3*d - 22. Suppose 5*p + 1 = -3*r, -2*p - 4 = 2*r + 3*p. Calculate the remainder when x is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y + 79*f + 183, 0 = -5*y - 5*f - 100 - 5 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of -w**4\/12 + 2*w**2. Let k(y) = 2*y + 14. Let h be k(-10). Let v be o(h). What is the greatest common divisor of 4 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -3*f + 3. Let b be x(-3). Suppose o + 100 = b. Let d = o + 28. What is d rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2. Let w(v) = 1254855*v**2. Calculate o(w(b)).\nAnswer: -1574661071025*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 6*c - 6. Let o be m(-6). Let a(f) = 270*f**2 + 15 - 15*f - 271*f**2 + 9*f. Let j be a(o). Solve -4*q = -3*u + 31, 9*q = 4*q - u - j for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3)*g**(-1\/8)\/g*(g\/(g**2*g))\/(g*g*g**6))\/((g\/(g*g\/g**(-4\/9)))\/(g*g*g**(-2\/21)\/g)*g**(-2\/7)*(g\/g**8)\/g) assuming g is positive.\nAnswer: g**(-1759\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.0154 rounded to zero dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -39.08 (c) 0.4 (d) 77\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 27 = d, 0*j + j = -4*d - 24. Let l = d - -3. What is the second smallest value in l, -29, -1\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -451155 - -5?\nAnswer: -451150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/36 and 32\/99?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 253 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 3:20 PM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -154, -307, -460, -613?\n\"Answer: -153*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jodojzddddozj. What is prob of sequence jzo?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 4\/(-8))*40\/(-4). Find the third derivative of -3*g**2 + 296*g**3 - 39*g**2 - 330*g**3 + 2*g**i wrt g.\nAnswer: 120*g**2 - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of 10*y**3\/3 + y**2\/2 - 7. Let l be (-4)\/22 - (-1200)\/66. Suppose 3*f = 3*c - 0*c + l, -20 = -4*f. Determine d(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20.41 - 20.410004132. Round y to seven decimal places.\nAnswer: -0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 168 + -166. Suppose 0 = 2*r + 8, -2*r - 35 = -5*o + 3*r. Let m be ((-1)\/2)\/(o\/(-18)). Solve m = -5*n - a for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -116029, -232058, -348087, -464116, -580145, -696174?\nAnswer: -812203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.086 or -257?\nAnswer: -257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/1844168 and 103\/56708166.\nAnswer: 226832664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-5)*(-406)\/(-174)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7286.\nAnswer: 2, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 3*q**2 - 4*q + 2. Let t be c(4). Suppose 52 = t*z - z + 5*a, 0 = 3*z + 3*a - 96. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150333701?\nAnswer: 7, 37, 227, 2557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 25 + b + 15 + 16 + 2 to h + r*b and give h.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5366\/1137 - 20\/379. Factor -6 - 2\/3*y**3 - q*y**2 - 10*y.\nAnswer: -2*(y + 1)*(y + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 16\/5 (b) 1\/3 (c) 15887 (d) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1875.4 to the nearest 100.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.408 (b) 1\/6 (c) 0 (d) -23 (e) 2\/7 (f) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/((-77)\/2))\/((-2)\/(-3))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 8*s + 15. Let v be h(7). Calculate the highest common factor of 242 and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1740 + -1753. Which is the nearest to 0.8? (a) 0.3 (b) u (c) 1\/5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -1624?\nAnswer: 1631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1503.72 times 18.88?\nAnswer: -28390.2336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2254274794 to the nearest integer?\nAnswer: 1311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 320, 30, 77, -50 in increasing order.\nAnswer: -50, 30, 77, 320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*j**4*n**2 - 32*j**3*n**2 - 36*j**2*n**2 + j**2 wrt j.\nAnswer: -72*j*n**2 - 192*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 47 (b) 0 (c) -5 (d) -2 (e) -0.11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -4*l + 64, -89*w - 19 = -3*l - 84*w. What is the remainder when 3936 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4822229956 to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -1197 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 4*v + 16 = 3*n, -5 = -n + v. Solve 0 = -n*o - 4*u + 8, 2*o + 2*u - 6 = -2*u for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 0.312?\nAnswer: 0.0312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3611.4 and 245?\nAnswer: 3366.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 20*n**2 + 25*n + 25. Let g(z) = -z**2 - z - 1. Determine -75*g(f) - 3*t(f).\nAnswer: 15*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 102\/(-5) + (-4)\/(-10). Let o be ((-24)\/(-54))\/((-2)\/9). What is the tens digit of 528\/(d\/(-5)) + o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*m - 1 = 26*m. Let k(d) = 2*d**2 + 1. Let c(a) = -a**2 - a. Let n(b) = m*k(b) - c(b). What is n(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 11 + 24 + 0*b - 5*b. Let g be v(6). Suppose 5*u + 2*h = 45, 4*h - g = 3*h. What is the biggest value in u, 3, -1, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q + 9. Let d be o(0). Suppose -15 = 3*z + d. Calculate the least common multiple of 7 and ((-2)\/(-8))\/((-1)\/z).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10.1 - -76.1. Let b = -770644197 - -770644130.99999946. Let l = j + b. Round l to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence crrr when four letters picked without replacement from {r: 4, c: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 10. Let n(o) = 170*o**2. Give n(b(u)).\nAnswer: 170*u**4 - 3400*u**2 + 17000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4\/7 (b) 0.3 (c) -549.7 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - 13*w - 43. Determine z(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*d = 26*d + 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -238*x + 239*x + 5*c - 6, x + 3*c = 6 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 825652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -7*o + 3. Let q be n(3). Let m be (-75)\/q - 8\/2. Which is the second smallest value? (a) 3\/2 (b) m (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -808900 to the nearest ten thousand.\nAnswer: -810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -104213444 (base 5) to base 14\nAnswer: -bdb6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -4, -21, -56, -115, -204, -329, -496?\nAnswer: -711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**2 - 2*w - 7. Let f(v) = -v**2 + 6*v + 10. Let b be f(7). Let l be x(b). Solve y + 4*y = l for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -55 (b) -2\/9 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -4 + 1 - (-12 + 23 - 23).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 7*w**2 + 16*w - 64. Let l be x(8). Solve 5*h = 4*t - l*t + 1, 14 = 2*h - 5*t for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three sixths of a decade in months?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1328 is divided by 412?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -49*n**2 + n - 2. Let a(k) = -131*k**3 + 395*k**2 + k - 12. Let o be a(3). Let h(g) = -195*g**2 + 4*g - 9. Calculate o*c(d) - 2*h(d).\nAnswer: -51*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 4*b**2 - 3*b + 5. Let j be a(-5). Let v(z) = z**3 + 6*z**2 + 5*z + 6. What are the prime factors of v(j)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25 or 1470?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -680475\/32 + 21263. Find the common denominator of f and (1 - (-338)\/(-72))*52\/(-182).\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 215 and 317365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -a**6\/30 - a**5\/25 + a**4\/20 + a**3\/15 + 4. Factor m(x).\nAnswer: -x**2*(x - 1)*(x + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19698298.\nAnswer: 2, 53, 185833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*n**4 + n**4 - 4*n**4 + 3 wrt n?\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xbbx when four letters picked without replacement from xbbmbbkbmmbbxx.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173600145.\nAnswer: 3, 5, 233, 5519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*(j*j\/(j*(j**(-2\/15)*j)\/j))\/j)\/j)\/(j\/(j\/(j\/j**(-2)))))**5 assuming j is positive.\nAnswer: j**(-43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j + 2*j - 2*j - 8*j + 170 + 54. Let w be s(37). Let t(f) = -f**3 - 3*f**2 + 1. Let z be t(-4). Solve -v = -5*r + z, -w*v + 4*r = -0*v + 10 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x**3 + 189 - 107 - 82.\nAnswer: -7*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -1.039.\nAnswer: 3.117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*s - 33*s - s)*(s - 2*s - 2*s) + s**2 - 3*s**2 + 0*s**2.\nAnswer: 127*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 340 and 1870?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 568842?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 21\/12*(-24)\/(-140). Which is smaller: k or 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 129 divided by 44\nAnswer: 129\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 2 - 2)*(22*v**3 + 773*v**3 - 98*v**3 - v**3 + 4*v**3 - 2*v**3 + (-3*v + 5*v - 3*v)*(2*v**2 - 2*v**2 + 2*v**2) - v**3 + 6*v**3 + v**3).\nAnswer: -702*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130173774?\nAnswer: 2, 3, 31, 283, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -7*v**2 - 34*v + 6. Let b be d(-5). What is the nearest to b in -1\/25, -0.2, -23?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 3*w**2 + 3*w - 2. Let n be k(-4). Let z(a) = -3*a**2 + 54*a**3 - a**2 - 55*a**3 - 13*a + 1 + 5*a**2 + 15*a. Determine z(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a - 10. Let k be c(-6). Let m(z) = 2*z - k*z - z + 5. Let g be m(-6). Solve -5*s - 3 = 3*h, -s + h - g = -h for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5*g - 272 = -2*y, g - 96 = -y. Calculate the lowest common multiple of y and 4.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.84 + -1.840000605. What is l rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*t - 3*t - 23, 4*t + 22 = 2*u. Suppose -2*i = i - u. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 3:14 AM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010000 (base 2) in base 6?\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7124358481 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*a + 2714183 = -681007 - 760661. Does 6 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 6 = -6*z + 10*z, 0 = 32*z - 2*k - 2*k - 28 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lczlplprclllrpzzlr. Give prob of picking 1 l and 2 r.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1132 + 0.1868. Let k = 8 + -10. Sort 0.1, -0.01, k, m in descending order.\nAnswer: m, 0.1, -0.01, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95 (base 11) to base 14.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 526*o - 8 = 524*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 5*a + 5. Suppose 0*l = -5*l + 4*s + 51, -2*l = -4*s - 18. Suppose 0 = 5*t + 4*w + 16, -2*t - l = -3*w - 0*w. Let c be v(t). Sort -2\/9, c, 3.\nAnswer: -2\/9, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1))**(-41\/3))**23 assuming y is positive.\nAnswer: y**(943\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 78 and 91?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 143*x**2 - 143*x**2 + 10*x**3 + 2*x**2 - 2*x**2 - x**3 + (2*x - 2*x - 2*x)*(4 - 2*x**2 - 4).\nAnswer: 13*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (2505\/1002)\/((-4)\/10*35\/4)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j - 25. Let c be 24\/(-4) + 4 - (0 - 8). Let o be v(c). Solve 5*y = 5*x - o, 0*y = -3*y - 2*x - 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 7)\/((-4)\/4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -489 = -3*r - 3*i, 3*r = 2*i + 133 + 336. Find the second derivative of 19*a**3 - 78 - 81 + r - 41*a wrt a.\nAnswer: 114*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (66*t**2 + 10*t**2 - 3*t**2)*((4*t - 4*t - 3*t)*(-3*t - 3*t + 2*t) - 3*t + 3*t - t**2) in the form z*t**4 + d*t + m*t**3 + a*t**2 + v and give z.\nAnswer: 803","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v. Let i(o) = 10*o + 2. Let x(w) = -i(w) + 5*y(w). What is the least common multiple of 22 and x(-2)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 31*k**4 + 13*k**3 + 13*k**2 - 22. Let v = 35 - 22. Let o(s) = -15*s**4 - 6*s**3 - 6*s**2 + 11. Let i(g) = v*o(g) + 6*y(g). Differentiate i(p) wrt p.\nAnswer: -36*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {c: 1, q: 4, f: 1, z: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (28 - 0)*4\/((-16)\/(-6)). Is 2 a factor of (-12)\/z - 270\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 6*q - 4. Suppose 0 = 3*f - q*f. Suppose -b + f*b = -12. Calculate the highest common factor of 12 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 67*g**2 + 81*g + 130. What are the prime factors of v(10)?\nAnswer: 2, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 12:05 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63.1*-0.3.\nAnswer: 18.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2577262, 2577253, 2577230, 2577187, 2577118, 2577017?\nAnswer: 2576878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {a: 2, w: 2, f: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k + 9. Suppose 3*l = -h + l + 1, 43 = -5*h + 2*l. What is the least common multiple of 5 and a(h)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/(-18) - -3)\/((-1)\/2).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/5 + (-11)\/5. Let h = -3 - f. Let b = 6 - 10. Put b, 0.4, h in increasing order.\nAnswer: b, h, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-6 - (2 - 10))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(85) + sqrt(85))*-3 + sqrt(85) + 1*-3*sqrt(85))\/((sqrt(30) - ((sqrt(30) - (sqrt(30) - sqrt(480))) + sqrt(30))*4)\/((1*sqrt(36))\/sqrt(6))).\nAnswer: -7*sqrt(17)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 415 - 410. Let a = 0.09 - 0.39. What is the third smallest value in a, 0.007, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v + 5*v**3 - 3*v**4 + 2*v**4 + 2*v**2 - 3*v**3 to l*v**3 + z*v + s*v**2 + y + p*v**4 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - h + 5. Let c be v(0). Suppose -3*r + 5*f - 27 = 0, -3 = 3*r + 4*f - f. Let q be (r\/(-6))\/(1\/3). Sort -3, q, c in ascending order.\nAnswer: -3, q, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = b - 36. Suppose 5*r - 19 = 3*l + 21, -2*r + 5*l = -b. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5199391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of 5*v**4\/2 + 53*v**2\/2 - 3*v + 15. Let x(w) be the first derivative of a(w). What is the derivative of x(f) wrt f?\nAnswer: 60*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 4*f - 295, 4*f - 2*x + x = 291. Suppose f + 37 = 5*g. Let p = -70 + g. What is p rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22896, 37956, 53004, 68034, 83040, 98016, 112956?\nAnswer: 127854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from ldddldlddldlldldaka.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -863 - -679. Let n = 226 + l. What is the remainder when 208 is divided by n?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 - -46. Suppose -4*z = -4 + r, -5*a + z = 27. Calculate the common denominator of 139\/60 - a\/(-15) and 149\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**4)\/((f\/(f**(5\/6)\/f))\/f)*f**(2\/3)*f**(1\/6)*(f*f\/((f\/(f*f**(-2\/7)))\/f))**(1\/66)\/(f\/(f*f*f**(1\/2))*f)**(-1\/37) assuming f is positive.\nAnswer: f**(16223\/2849)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1402*v - 26*v - 4176*v - 406*v.\nAnswer: -6010*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 209, 606, 1197, 1982, 2961, 4134?\nAnswer: 5501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 151, -25, 9 in decreasing order.\nAnswer: 151, 9, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 + -3.1. Let y = -1 - r. Do -3 and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 21 - (-10 + 16)) + 9 + -4?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34609.4 + 12.\nAnswer: -34597.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r = -105 - 168. Suppose r*j - 476 = 7*j. Calculate the greatest common factor of 187 and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 + (-2565)\/(-150))\/((-2)\/15)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -561433317*r - 700190623 wrt r.\nAnswer: -561433317","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -682291 + 682291 + 4*y**2 - 6*y**2 + 20*y**2.\nAnswer: 18*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 6\/25 of a microsecond?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.04 - 2.96. Let n = 17 - 17.1. Let c be -4*(-1)\/8 + 18\/180. What is the second biggest value in -0.02, c, o, n?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - o - 1. Let u(d) = 4*d**3 + 4*d**2 + 3*d - 1. Let b(g) = -3*r(g) - u(g). Give b(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 8\/110763?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -45*h**2. Let r(y) be the third derivative of 0*y**3 - 53*y**2 + 0*y + 0 + 1\/24*y**4. Calculate i(r(q)).\nAnswer: -45*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 37\/5 of a century?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12271*h**2 + 6161*h**2 + 3683*h + 9*h**3 + 6155*h**2 wrt h?\nAnswer: 54*h + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.58 - -0.29. Let w = v + -2.5. Let q = -0.5 - w. Is 0 smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*l*m*n - l*m*w + 484*l*n**2*w + 6*m*n**2*w - 5*m*n*w - 3*n*w - n + 19 wrt l?\nAnswer: -2*m*n - m*w + 484*n**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bhvtvh. What is prob of sequence vt?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21? (a) -2 (b) 0.3 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-18) + 10\/(-12). Let i = v - -13. Is 12 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 198209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x**3 - 4*x**2 + x + 3. Let a = -3 - -13. Let w(h) = -4*h**3 - 8*h**2 + h + 5. Let u(t) = a*r(t) - 6*w(t). What is l in u(l) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -52115.53 * 1.02.\nAnswer: -53157.8406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 16*q - 923. Is 10 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 15*y**2 - 3*y**3 + 4*y**3 - 1 + 3*y - 8*y**2 - 4*y**2. Suppose 4*s - 19 = f, -5*f + s - 23 = -s. Give r(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 2*y. Suppose y = -2*a + 3*a - 36. Let i = a - 14. Does 11 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/10*20\/20.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 7:08 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 0*y + 247*y**2 + 4*y + 3 + 12*y**2 - y. What is the tens digit of k(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 divided by -20\nAnswer: -19\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60266495 to the nearest integer?\nAnswer: 7763","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z**3 - 24*z**2 - 20*z + 16. Let o be p(-11). Let k(w) = w**3 + 9*w**2 + 8*w - 5. Is k(o) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 1:15 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1311, 5, -3 in descending order.\nAnswer: 1311, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1913 = 4*b + 1689. Calculate the greatest common factor of b and 322.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39159653*c**3 - 4*c**2 + 18414530*c + 3.\nAnswer: 234957918*c - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-2)*12\/(-6). Suppose -r = r + u*l - 147984, 5*l - 147980 = -2*r. What is r rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*t - 16 = 0. Suppose 0 = -t*v + 69 - 25. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02271136 to four decimal places.\nAnswer: -0.0227","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 3*p = 11, -4008*z - 5*p = -4011*z - 12 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 56732557 to the nearest integer?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 360 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -598*x**4 - 3*x - 29.\nAnswer: -7176*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(133) - 2*sqrt(133))*1 + sqrt(133) + (sqrt(133) - -2*sqrt(133)*6) + sqrt(133))\/(5*(sqrt(315) + sqrt(35))\/sqrt(5)).\nAnswer: -3 + 7*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 1 + 11 = 5*s, 4*s = -5*m - 30. Which is the nearest to 1? (a) 3 (b) 2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -5. Let t be c\/4 - (-5)\/20. Suppose -2*n - 1 = -3. Solve -2*v = -q - n, t*v - 30 = 5*v + 4*q for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - j - 104 = 0, -217 = -2*z + 3*j + 2*j. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - v - 519. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*v - v. Suppose p + 3 + 0 = v. Let o(q) = q**3 + 2*q**2 - 4*q - 3. Calculate o(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**4\/3 - 2930*v**3\/3 + 37816*v**2\/3 + 102038*v + 166269 = 0 for v.\nAnswer: -3, 19, 2917","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (20\/(-250))\/(1\/10*2). Which is the closest to -2\/7? (a) -5 (b) k (c) 1 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/7046 and -41\/31707.\nAnswer: 63414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*l*t**3 - 89*l*t**2 + 179*l - t**3 + 2*t**2 + 4*t + 2 wrt t.\nAnswer: 42*l*t - 178*l - 6*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -58264, -57956, -57648, -57340, -57032?\n\"Answer: 308*z - 58572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47*d**3*r**3 - 4*d**3*r**2 - 13*d**3 + 4*d**2*r + 3110*r**3 wrt d?\nAnswer: -282*r**3 - 24*r**2 - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4*l = -5*i + 62, -5*i = -4*l - 104. Let h be (-78)\/l + 4\/14. Let d(z) be the first derivative of -z**3\/3 + 2*z**2 - z + 169. Give d(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1058169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - v + 209, -2*m - 293 = v - 201. Sort 7, -4, m, -3 in descending order.\nAnswer: 7, -3, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 182497120 to the nearest integer?\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1210854543?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -139*a + 131*a + 132739 - 7939. Is a a multiple of 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 83 - (262 + -263 + (3 - 5) + 0)\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59 - 121 = 432051*s - 432231*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14654 + 14654 - 11387*s**2 + (-3 + 1 + 4)*(-2 + s**2 + 2).\nAnswer: -11385*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 + 11*c + 21. Let h be v(-4). Let w(r) = -14*r - 5. Let m(x) = -21*x - 7. Let y(b) = h*w(b) + 5*m(b). Let p(u) = 33*u. Calculate y(p(k)).\nAnswer: -231*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 5:43 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q - 8*q = 3*q. Let n be (-4 - (q + -1))*16\/24. Put 5, 6, n in ascending order.\nAnswer: n, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4673650 or 0?\nAnswer: -1\/4673650","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x + 16*o - 11*o + 15, 5*x = 18*o - 25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31986515 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -115*j**3 + j**2 - 16*j - 29. Let b be l(-3). Suppose -4*q + 5*a + 3300 = 0, 0 = 4*q + a - 143 - b. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h\/((h*h\/h**8*h)\/h)*h)*h)\/(h**(1\/21)\/h))\/(h**(2\/3)*h*h*h**(-3\/7)) assuming h is positive.\nAnswer: h**(-44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in eighteen fifths of a millisecond?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 39 + 29*n + 36*n - 66*n. What is the least common multiple of i(21) and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 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 g = 27974 - 18316. What is the highest common divisor of 110 and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 435.3282 minutes to days.\nAnswer: 0.30231125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/11582997?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 239857889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 459663004 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -9*l**2 + 9*l - 30. Let o be g(-6). Calculate the highest common divisor of 78 and o.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49.9 - 243.1. Let f = -318.3 - m. Round f to zero decimal places.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, v: 4, j: 1, m: 2, a: 6}. What is prob of sequence eaa?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -170000 + 2?\nAnswer: -167776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-24)\/(-30))\/(3\/30). Find the first derivative of 0*b**2 + 4*b**2 - 9*b**3 + d - 4*b**2 wrt b.\nAnswer: -27*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 8*t + 112. What are the prime factors of x(25)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that w**3\/4 - 14818529*w**2\/4 - w\/4 + 14818529\/4 = 0.\nAnswer: -1, 1, 14818529","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/5 (b) -2 (c) 3 (d) 0.14 (e) 21.023\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 101 + 451. Let i = n + -288. List the prime factors of i.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -76, -71, -54, -19, 40, 129?\n\"Answer: n**3 - 2*n - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6306.\nAnswer: 2, 3, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02188316441 rounded to three dps?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 2\/5 (b) -4 (c) 5 (d) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4264*g**3*t**2 - 433*g**2 - 4*t**2 wrt g?\nAnswer: 25584*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 z when three letters picked without replacement from {a: 3, z: 7, h: 3}.\nAnswer: 63\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28345 + -14403. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -4*c**3 + 3*c**2\/2 + c + 649. Calculate a(-3).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -25 (b) -18 (c) 2 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -o**6 - 7*o**3\/3 - 11. What is the third derivative of j(a) wrt a?\nAnswer: -360*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/2)\/((-6)\/(-24)). Let u be j\/3*(-9)\/(-6). Suppose -8 = -p + 2*v, u - 4 = -v. Calculate the highest common factor of p and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of y**5\/60 - y**4\/6 - y**3 - 4*y**2. Let c be v(6). Suppose 0 = -r + c - 3. Solve 3*d = -5*w - 1, -r*d - 10 = -4*w - 0*d for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -4*z - 23, 2*c + 5*z + 7 = 3. What is the closest to -2\/3 in 0.67, c, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 3 + sqrt(1200)*2 + sqrt(1200) + sqrt(1200))**2.\nAnswer: 640*sqrt(3) + 19216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 7*p**3 - 8*p**2 - 21*p - 8. Let x(o) = -12*o**3 + 16*o**2 + 40*o + 16. Let s(t) = 7*q(t) + 4*x(t). Calculate s(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34796848*w**2 + 33533106*w.\nAnswer: -69593696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.03 + 3.03. Put m, 2\/3, -14 in descending order.\nAnswer: m, 2\/3, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = 146 - 186. Sort -36, i, -1 in ascending order.\nAnswer: -36, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 20*b - 21. Let y be g(21). Suppose 4*m - 3*f - 16 = y, -f = -5*m - 3*f - 3. Solve m - 9 = 2*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 8*z - 9. Let f be n(-6). Suppose 0 = 3*w - 0*w + 4*b + 4, 3*b + f = -2*w. Solve 1 + w = -h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + 8 + 36 + -28?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10 + -51*(-435)\/1980 and -149\/54.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 131 - 116.8. Let q = -3.191825 - 11.008248. Let j = q + x. Round j to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, z: 1, j: 2, i: 1, a: 2, t: 4}. Give prob of sequence zakk.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*u = -47*u + 16. Let l(b) = -76*b - 77. List the prime factors of l(u).\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130564260.\nAnswer: 2, 3, 5, 725357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 10*k = 4074000. What is k rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y + 8*y = 4*u - 24, 468*y - 464*y - u + 6 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 0, -4*s - z - 11 = -79. Let v = s + -13. Suppose -3*n - v = -16. Calculate the greatest common divisor of n and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f**3 + 2 - 13 + 24 + 2*f**2.\nAnswer: 4*f**3 + 2*f**2 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j**2 - 3*j**2 + 2*j**2)*(2*j**2 + 0*j**2 + 5 + 0*j**2) in the form p + m*j**3 + d*j**2 + g*j**4 + y*j and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 3 + 5 = -h, 0 = h + 5*x - 14. Solve -5*r = h*o - 5, 6*r = 10*r + 5*o - 13 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 30 + -4?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of -55*b**6\/4 - 155*b**4\/24 + 7*b**2 - 151*b. What is the second derivative of y(s) wrt s?\nAnswer: -9900*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 69*s**2 + 59*s - 58. Determine g(1).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1089, -4900, -11235, -20082, -31429?\n\"Answer: 2*u**3 - 1274*u**2 - 3*u + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(4 + 966\/(-243)). Let r be 130059\/l - (-2)\/12. Suppose 2*a = 13*a - r. Is 33 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31904 or -31906?\nAnswer: -31906","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from exi. What is prob of sequence ix?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 110*j**3 - 299.\nAnswer: 330*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -2*z**2 + 186*z + 31. Is k(0) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 - 290 = 23*z - 103 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -54*j**2 + 2*j + 7. Let w be f(3). Let d = w + 690. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t - 11 + 20 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 36*s**2 + 338*s + 2267. Is a(-93) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 267176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1776 - 1777. Which is the nearest to s? (a) 10 (b) 0.2 (c) 0.3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41481342?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134737 is divided by 25734?\nAnswer: 6067","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 2*c - 18, -3*c = -8*c - 20. Is d\/((-10)\/88) - 1 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1419317684741 and -0.41?\nAnswer: 1419317684741.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -w**5\/10 + 339*w**4\/10 - 15189*w**3\/5 + 395779*w**2\/5 + 1675611*w\/10 + 170667\/2 = 0.\nAnswer: -1, 63, 215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 divided by 132?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5053184 + 4216.7\nAnswer: -5048967.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(720) + -1 - sqrt(720)) - (-4 + sqrt(80) + (-2*(sqrt(5) + -1))**2).\nAnswer: -19 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 162092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (26 + 37 + 17 + 12)*(223 - 100 - 75*x - 117) to f*x + c and give c.\nAnswer: 552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of -n**3\/6 + 25*n**2\/2 - n - 25. Let r be b(20). What is the second smallest value in 7, 0.2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 32 = -4*r, -5*r - 27 = -2*j + 4. Calculate the least common multiple of 19 and j.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64 and 21504.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 2*sqrt(170)\/(sqrt(10) - sqrt(40)))*4)**2.\nAnswer: -192*sqrt(17) + 1232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 3355589.4 to the nearest 100000.\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/125 (b) 4 (c) 13 (d) 6564 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -191, -384, -577?\nAnswer: -770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**4 - 2*w**4 + w**4)*(-1 + 2 + 1)*(69 + 44 - 59)*(1 - 2 + 2) + 0*w**4 - 3*w**4 + 2*w**4 + (2*w**3 + 0*w**3 + 3*w**3)*(-2*w + 3*w - 3*w).\nAnswer: 205*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 659354, 659332, 659310, 659288, 659266?\n\"Answer: -22*d + 659376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1406, -1232, -1168, -1220, -1394, -1696, -2132?\n\"Answer: -n**3 - 49*n**2 + 328*n - 1684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: 1.3 times -194589\nAnswer: -252965.7","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4\/21))**44*(h*h**19)**(-27) assuming h is positive.\nAnswer: h**(-11516\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 58443\/16422 + (-7)\/2\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -43*s**2. Let p(l) = -18*l + 4. What is p(h(i))?\nAnswer: 774*i**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 108 - 108.818. Round f to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b. Let f(d) = 3*d**2 - 3*d + 61069. Give f(v(p)).\nAnswer: 12*p**2 - 6*p + 61069","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*a**3 - 178*a**2 + 5*a + 3287 wrt a?\nAnswer: 66*a - 356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -27. Suppose -2*l + n = l. Sort l, -4, 1.\nAnswer: -4, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 7:56 AM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 90.28 times -277\nAnswer: -25007.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 161224 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 748 is divided by 260?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25660378 by -754717.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -364 + 101 - p - 184 in the form z*p + w and give w.\nAnswer: -447","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 191464, 192087, 192710, 193333?\n\"Answer: 623*r + 190841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 10. Let p = -0.99935 + l. What is p rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.09 + 0.52. Let x = l + -1.57. What is x rounded to one decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45413 + -18664778\/411. What is the common denominator of (-1962)\/120*(-42)\/(-63) and t?\nAnswer: 4110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + 1 - (-169 + 179)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 706 - 984. Let r = 317 + p. Calculate the highest common factor of 78 and r.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x + 106 - 76. Is x at least -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 140290, 0.3, -22, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Solve -82140 - 53135 = -5411*r for r.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*g + 14. Suppose -3*o = 4*a - 53, 2*a + 3*a - g = -o. Let x = -13 + o. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/1296 and -41\/2592.\nAnswer: 2592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ai when two letters picked without replacement from {b: 1, a: 3, z: 1, q: 3, i: 3}?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 221 = 2*i, 0 = -11*i + 15*i - q + 407. Suppose -3*z - 5*z = 824. Let j = z - i. Solve 2*t + j*h - 2*h = 6, -5*h = 2*t - 20 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 19 and 11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/152782 and 65\/24.\nAnswer: 1833384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 291763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (1131\/754)\/(27\/(-21)) + 331\/294?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24.0301 + -0.0301. Which is the closest to r? (a) -0.1 (b) -0.5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -69 + 71.2. Let z = -6.2 + b. What is the smallest value in z, 1, -0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 882872*g**4 - 1094598*g wrt g.\nAnswer: 10594464*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-294)\/2352)\/(3\/36)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + -3 + 0 + 5. Solve 5*t = -n*h + 2*h - 30, -4*t = -5*h - 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*q**3*x**3 + 24*q**3 + 75*q**2*x**3 - 89*q**2*x**2 + x**3 wrt x.\nAnswer: -60*q**3 + 450*q**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from {y: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**4\/9 + 26378*g**3\/9 - 14309558*g**2 + 274888363918*g\/9 - 215299013654272\/9.\nAnswer: -2*(g - 3671)**3*(g - 2176)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/149258 and 34\/30255.\nAnswer: 2238870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -776*j**2 - 20*j + 20. Let m(c) = -5*c**2 - c + 1. Give -a(q) + 20*m(q).\nAnswer: 676*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8\/2*66\/8 and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 + 30. Sort -3, 2, w in descending order.\nAnswer: 2, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 194 - 170. List the prime factors of 260 + (c - 4)\/5 + -5.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2586989, -2586987, -2586985, -2586983?\n\"Answer: 2*m - 2586991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 6*j**2 - 4*j + 1. Let u be f(5). Let p(a) = 23*a - 74. Let m be p(3). Let c = u + m. Calculate the least common multiple of 8 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001011000101011100001 - -100?\nAnswer: 1001011000101011100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2583343 and 5047.\nAnswer: 18083401","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4.65632 and 5.86063195.\nAnswer: 1.20431195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -5*k**3 + k**3 + 8*k**2 - 3*k**3 + 15 - 9*k + 6*k**3. Let y be b(7). Suppose q - 4*s + y - 7 = 0, -12 = -3*s. Is 8 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*d + 114380 = 4728*d - 76198 + 44868 for d.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + 3*q + 2*q)*(0*q**3 - 6*q**2 - q**3 - 2*q**3 + (-4282 + 97*q**3 + 4282)*(-2 - 4 + 4)).\nAnswer: -197*q**4 - 6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 12*q**2 - 10*q - 3. Let p be k(8). Suppose 223*m - p = 222*m. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -10. What is the least common multiple of 20 and o*(6 + 0)*1?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h - 6107 = 1225. Suppose 0 = -559*d + h*d - 3525. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2*b - 436 = 0, 0*b - 4*b = -2*n + 168. Let r be (n\/(-110))\/((-2)\/5). What is the greatest common factor of 18 and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/(-66) - (-3 + 2106\/(-33)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 157, 174, 201, 238, 285, 342?\nAnswer: 409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2*b - 246722 = 0, 185038 = 3*k + 235*b - 230*b. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 2997?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2541 - -2532. Let d be (0 - 0) + 4\/(-6). What is the closest to -1 in d, k, 5\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 376060 or 376030?\nAnswer: 376060","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 49466071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 76544 and -5?\nAnswer: 76549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000417693804 to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16372*s - 32626*s + 16434*s + 0 + 0.\nAnswer: 180*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3600 + 43205\/12. Let v(r) be the first derivative of 0*r + 1\/4*r**2 + 1\/8*r**4 + c*r**3 - 2. Factor v(s).\nAnswer: s*(s + 2)*(2*s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(2\/39)\/k*k**(16\/3)*k assuming k is positive.\nAnswer: k**(70\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 426969\/5 + -84360. Let y = 1035 - h. Determine w, given that -2\/5*w**2 + w**5 - y + 19\/5*w - 24\/5*w**3 + 8\/5*w**4 = 0.\nAnswer: -3, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + j - 1. Let z(t) = 10*t + 11. Let o(w) = -w**2 + 21*w + 21. Let c(k) = 2*o(k) - 5*z(k). Let h(n) = -c(n) + g(n). Does 3 divide h(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = 37*l + 765, 2*j - 4*l = -190 + 87 + 173 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from gpghhpggppppphphgggg.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f - 15, -6*l + 2*f + 4 = -9*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 537 = -7*d + 5*d, 102 = b + 5*d. Suppose 0 = f - 5*j - b, -j = 4*f - 0*j - 491. What is the remainder when f is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25801080, -25801081, -25801082, -25801083, -25801084?\nAnswer: -25801085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 24841, 4 in increasing order.\nAnswer: 4, 16, 24841","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10115, 10132, 10147, 10160, 10171?\nAnswer: 10180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 142360749544711\/11244 + -12661041422. Let i = -3\/3748 + w. What is the common denominator of 2*(-71)\/4 + -2 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1773588?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3463141726 and -0.1?\nAnswer: 3463141725.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -333*-46664.\nAnswer: 15539112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/164 + -61\/82. Let p = 3.95 - -0.05. Let f = 0 + 2. What is the second smallest value in p, f, m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 95, 465, 1097, 1991, 3147?\n\"Answer: 131*g**2 - 23*g - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**3 - v**2 + 2. Let c(g) = -13*g**3 + 4*g**2 - 5*g + 21. Let o(w) = -c(w) + 6*r(w). What is o(10)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w + 22*w - 15 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 195 - 183. Let d be 180\/(-495)*r\/(-4). What is the second smallest value in d, 0.1, 3\/4, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/3 - (-133)\/3. Suppose -132 = 10*d - 13*d. Let w = 1 + d. Calculate the greatest common divisor of w and f.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 4*j**4 + 4*j**3 + 6*j**2 + 6*j + 107. Let x(o) = 8*o**4 + 7*o**3 + 11*o**2 + 11*o + 213. Let d(h) = 6*x(h) - 11*y(h). Differentiate d(w) wrt w.\nAnswer: 16*w**3 - 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8758 and 2114?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 595, 2226, 4905, 8638, 13431, 19290, 26221, 34230?\nAnswer: 43323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-79 - 4*w + 32*w - 26*w)*(2*w - 2*w - w) in the form s + i*w**2 + x*w and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 878.2826mg in grams?\nAnswer: 0.8782826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 6:28 AM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2787981 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11111111220112 - 0?\nAnswer: 11111111220112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 32 = 4*u. What is the tens digit of 18\/45 + 343\/u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 + ((-116)\/8 - -7). Sort u, -4, 3, 4\/7 in descending order.\nAnswer: 3, 4\/7, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 18 = -3*h. Let u be (-32)\/(-6)*81\/h. Suppose -u - 7 = -p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*b - 3*m = -6, 4*b - 17 = 5*m. Let h be b\/(1*-9)*-6. Find d such that d**5 - h*d**3 + d**5 + 0*d**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 257*g**2 - 10685*g - 1304. What is m(-52)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*v + 18*v + 12 = 0 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 4*k**2 - 6*k - 1. Suppose 1 = -2*t - 5, 4*t + 24 = 3*r. Calculate the remainder when o(r) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 11\/3, 4, -0.2, 0.5 in ascending order.\nAnswer: -7, -0.2, 0.5, 11\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 22*o + o**2 - 3*o**2 + 8*o**2 - 14 + 6 = 0. Calculate o.\nAnswer: -4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40758938 - -2492?\nAnswer: -40756446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 12:55 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -527\/7 - -75. Let m = 2.26829 + -44.26829. What is the third smallest value in m, n, -2\/35?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15442 - -30063. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/5*l**4 + 0*l**2 + 0*l - 3\/5*l**3 + 0.\nAnswer: 3*l**3*(l - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x + 96 - 30 = 0 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2 = -2*o, 0 = -2*d - 3*o + 7 + 6. Find the third derivative of -9*q**6 + 17*q**2 + 12*q**6 + 10*q**4 + 32*q**d wrt q.\nAnswer: 360*q**3 + 240*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 1914*m - 353. Is n(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -1\/15, -208, -0.2, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 5288 (b) 6 (c) 3\/5 (d) -2 (e) -1\/2 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196 is divided by 35?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31 - 15. Let y = -26 + r. Let i be (-29)\/(-9) + (-8)\/36. Put y, i, 5 in increasing order.\nAnswer: y, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27 - 0)*60\/(-270))\/((-333)\/(-6))?\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-9)\/2)\/((-12)\/16). Let c = x + -2. What is the derivative of 4*n**4 - 6*n**4 + 3*n**4 - 2*n**c - 6 wrt n?\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -1352*k - 1283. Let p(q) = 1353*q + 1321. Let l(j) = 4*p(j) + 5*r(j). Differentiate l(t) with respect to t.\nAnswer: -1348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -109, 5\/2, -3\/7 in decreasing order.\nAnswer: 5\/2, 2, -3\/7, -5, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000215747671 rounded to seven decimal places?\nAnswer: -0.0002157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 939*h**3 + 936*h**3 + 939*h**3 - 4665*h**3 + 911*h**3 + 942*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 39\/(-30) + 1 + 0. Let v = -103 + 53. Let j = v - -51. Do j and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1943867 * 9\nAnswer: -17494803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -3*d - 8. Suppose -c = 3*q - 12, 2*c = -3*c + d*q + 60. Is 4 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 4:28 AM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12875, 12879, 12885, 12893, 12903, 12915, 12929?\nAnswer: 12945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/2 (b) 2\/9 (c) -11 (d) 1\/6 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2793 divided by -3\nAnswer: 931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u + 59*u = -102*u + 1776. Factor -243\/2*f**5 + 0*f + 0 - 2*f**2 + u*f**3 + 27\/2*f**4.\nAnswer: -f**2*(3*f + 1)*(9*f - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12724 + 3.1?\nAnswer: 12727.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 24 = -8*w. Is 1 less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 30 = -2*j. Suppose 0 = 3*k + 2*t - 2, 5*k - 5*t - j = 14. Find the first derivative of -7*l**k + 3*l**2 + 0 + 4 wrt l.\nAnswer: -8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188226649.\nAnswer: 13, 14478973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 + 0.2. Let t = 580\/9 + -2909\/45. What is the smallest value in 6, t, k, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d + 2. Let s(h) = 25*h**2 + 8*h - 11*h**2 - 9*h + 5*h**2 + 19*h**2. Determine s(a(g)).\nAnswer: 152*g**2 + 302*g + 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 5*m + 5. Let f be c(10). Suppose 0 = -11*t - f + 11. Find the common denominator of t*4*(-20)\/15 and -13\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 10*r**2 + 8*r - 6. Let b be v(-9). Let w = -1 + b. Suppose -4*q + a + 97 = 0, -w*a - 2*a = -4*q + 100. Does 6 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + x**2 + 4*x. Let m(v) = v**3 - v**2 - 5*v. Let s(f) = 3*i(f) + 2*m(f). Factor s(q).\nAnswer: -q*(q - 2)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - f = 5*p + 1, p = -5. Let j(m) = 2*m**2 + 6 - f*m + m + 13*m**2 - 1. Is j(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 600 + -602. Let q = 45\/413 + 2\/59. What is the nearest to q in 0.4, p, -1\/8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 57261.7605 to the nearest 1000.\nAnswer: 57000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of -19*b**6\/60 + 101*b**5\/60 - 429*b**2. Find the third derivative of w(t) wrt t.\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) -2 (b) -3 (c) -61 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*g + 7*g - 5*f, -4*g = f - 10. Is g a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 17 and -221.32.\nAnswer: -3762.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -19*o + 3997. What are the prime factors of u(-122)?\nAnswer: 3, 5, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-14))\/(2\/40)*(-48)\/96\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1485.17793 to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3bcfa8 (base 16) to base 9\nAnswer: -7333835","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1 + -34)*(-4)\/12*5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((90\/(-80))\/((-6)\/(-4)))\/6?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -1, -11.7 in decreasing order.\nAnswer: -1, -4, -5, -11.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 5. Suppose 5*u = -o + 8*u - 18, -x*o - 17 = -u. Let z(a) = a**3 + 8*a**2 + a + 8. Let y be z(-8). Put y, o, -1\/2 in decreasing order.\nAnswer: y, -1\/2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = w + 42. Solve -3*h - 3*z = w, 4*h - 16 = 5*z + 12 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 smaller than -15380763?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*c = 173 + 1734 - 311 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 greater than -82?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrrr when four letters picked without replacement from {r: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7392)\/3360*345\/(-66).\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15101 is divided by 3009?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5*13*(-2)\/5. Calculate the remainder when 25 is divided by (0 - s)\/(3 + -5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.4 - 0. Let g = -203 + 211. Which is the biggest value? (a) g (b) 1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 760293.\nAnswer: 3, 29, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 501 + 470553?\nAnswer: 471054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*u - 41*u + 528. Suppose u*d = 25*d + 48. Let n(f) = f**2 + 8*f - 9. Let o be n(-9). Solve -d + o = 2*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*11)\/(14\/7)*(-73308)\/67199?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-640)\/15200)\/(-6*(-26)\/(-30))?\nAnswer: 2\/247","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -21 (b) 31 (c) -0.1 (d) 0.1 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1705 - 0.5805. Let i = 6.1 - 1.1. Let g = -4.9 + i. Is w at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9200.1 rounded to the nearest 10?\nAnswer: 9200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + -2 - -1)\/(-2). Suppose 0*a - 2*a + 4 = t. Suppose u + a*u - 87 = 0. What is the remainder when u is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4171166083?\nAnswer: 7, 19, 2663, 11777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16.3 - 14.3. Put -2\/15, -4, -5, u in ascending order.\nAnswer: -5, -4, -2\/15, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22366, -89505, -201380, -357985, -559314, -805361, -1096120?\nAnswer: -1431585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*d**2 + 79*d**2 - 18*d**2 - 27*d**2.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22472951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 25116 to the power of 1\/2, to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 20462*x + 2. Let h(s) = 839*s. Calculate f(h(i)).\nAnswer: 17167618*i + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17010 and 280.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52889.\nAnswer: 52889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1 + (3 + 2 - 3)*(1 - 2 + 0))*(-4*q**5 + q**5 - q**5).\nAnswer: 12*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 187 (b) 119.06 (c) -40\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o - 16*o = -45. Put o, -2, 0 in increasing order.\nAnswer: -2, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 7*r**2 + 20. What is o(6)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -32430 divided by 1410\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i\/((i*i**1\/i)\/i))\/i)**(-12)\/(i**(-2\/17)*i\/(i**(-1\/3)*i)))**(-2\/79) assuming i is positive.\nAnswer: i**(1246\/4029)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17641?\nAnswer: 13, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*m + 10 = 0, -3*r - 3*m - 3 = -9. Solve -5*g + h = r*h, -3*g + 10 = h for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1513 (base 12) to base 5.\nAnswer: -34323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i + 1. Let p(z) = 5*z - 16. Let q(s) = -6*b(s) - p(s). Let o be q(-9). Let c(w) = -4*w**2 + 9*w**2 - o + 6*w**2 - 2*w + 0*w. Determine c(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 14*r**2 + 13*r + 3. Let y be x(-13). What is the third derivative of -5*v**y - 6*v**2 + 0*v**2 - 3*v**3 + 4*v**3 wrt v?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 202, 421, 636, 847, 1054?\nAnswer: 1257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 13 - 37 = 0. Calculate the remainder when 67 is divided by (1*7)\/(u\/(-20)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 414 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-2))\/((-3)\/4). Suppose -t - 4*g + 9*g = 6, 0 = f*t + 3*g - 1. Let k be 1*2*(-1 - 0). Is k at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-190)\/(-6) + 1224\/(-36)\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 43309, 43308, 43307?\n\"Answer: -a + 43310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-36)*45*18\/45.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4083, 9892, 15701, 21510, 27319, 33128?\nAnswer: 38937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1818 by 18.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + sqrt(153) + 0 + sqrt(17)*-4*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1)*c**(4\/3)*(c*c\/c**1)**(4\/5)*((c*c\/c**2)**(-5\/6))**27 assuming c is positive.\nAnswer: c**(17\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*t = 4*g - 59*t - 10, -t - 5 = g. Sort -236, g, 3, 1 in decreasing order.\nAnswer: 3, 1, g, -236","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*y = -5*y - 5289. Calculate the highest common divisor of 1189 and y.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233892683 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 161499943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a + 3. Let g be 46\/(-14) + (-38)\/(-133). Let n(u) = -2. What is g*y(k) - 5*n(k)?\nAnswer: -3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -1\/3*b**5 - 9 - 14*b**2 + 5\/3*b**4 + 2\/3*b**3 + 21*b = 0.\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 37671*t**4 - 46314.\nAnswer: 150684*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f**5 - 355*f**4 + 910*f**3 - 20*f**2 - 520*f = 0. What is f?\nAnswer: -26, -2\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 106*-294\nAnswer: -31164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 97.\nAnswer: 4\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 154953, 154940, 154929, 154920, 154913, 154908?\nAnswer: 154905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -184 + 200. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9\/1058 (b) -1 (c) 4.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8\/6)\/4)\/(10\/(-60))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*z**2 + 35*z**2 - 77*z**2.\nAnswer: -79*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 3*u = 87. Let t = -17 + u. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74893439 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29874*i - 29903*i - 29871*i + 89659*i.\nAnswer: 11*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*q - 9 = -77 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - -2 - 0\/(-5). Suppose -2*i - a*i = -12. Let x be (19\/3 + 7)*3\/2. Solve 2*u + 7 - x = 3*m, 3*u - i*m = 12 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -z**8\/3360 - z**7\/2520 + z**6\/720 + z**5\/120 + 5*z**4\/12 - 3*z. Let m(p) be the third derivative of a(p). Calculate m(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110662989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -118019, -472108, -1062261, -1888484, -2950783, -4249164?\n\"Answer: -z**3 - 118026*z**2 - 4*z + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 400, 543, 804, 1183, 1680?\n\"Answer: 59*h**2 - 34*h + 375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of 1\/84*m**8 + 0*m**5 + 1\/12*m**4 + 0*m**3 + 0*m**6 + 0*m + 0 - m**2 + 0*m**7. What is the second derivative of l(t) wrt t?\nAnswer: 80*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express s + 4*s**3 - 3*s - 4 - 2*s**3 + 3*s in the form o*s**2 + y*s**3 + t*s + x and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/6 or 0?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1690, -1377, -1030, -649, -234, 215, 698?\n\"Answer: 17*x**2 + 262*x - 1969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 285117738+61\nAnswer: 285117799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -4*p + 90, -4*z - 26 = -4*p + 58. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, w: 1, r: 2, q: 2, g: 1}. What is prob of picking 1 r and 1 w?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*20\/(-8))\/3*3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1190725?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3972*j + 119. List the prime factors of i(-3).\nAnswer: 5, 29, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**3\/7 + 3258*z**2 - 64979982*z\/7 - 195145254\/7 = 0. Calculate z.\nAnswer: -3, 5703","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 615762.3 minutes?\nAnswer: 10262.705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/2 + (-6)\/(-4). Let b = -292 + 300. Solve 2*k - 2 = 0, -b = -3*q - f*k - 2*k for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (-9 - -4)) + (2 - -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 15, 123*s - 33739 = 118*s + 8*n. What is the greatest common divisor of s and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61522 (base 8) in base 10?\nAnswer: -25426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -x**2\/6 + 2641*x\/3 - 4541281\/6 = 0.\nAnswer: 1081, 4201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/6 and -61\/50278902.\nAnswer: 50278902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from uuuujujuzuz?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (73\/146)\/((-4)\/6)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 691 is divided by 64?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-286.08.\nAnswer: 572.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 6:32 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f**(-13)*f)\/f))**(-3\/26)*(f**(1\/7))**(7\/4) assuming f is positive.\nAnswer: f**(-71\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2571.\nAnswer: 3, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7770 and 22246287.\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*x = 11*x - 2160. Calculate the remainder when x is divided by 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(1700) + 0 - sqrt(1700)) + -3 + (sqrt(153) + -4 - sqrt(102)\/sqrt(6)*-4))**2.\nAnswer: -98*sqrt(17) + 882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 12:36 AM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 4*y**2 - y + 5. Let o be h(-4). Suppose -12 = -t + 3*q, t - 2*t + o = -2*q. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -278 - -812. Is n a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -603328770*q**2 + 176234936.\nAnswer: -1206657540*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fwfhxer. Give prob of sequence efh.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -711 (b) 22\/389 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 3*a + 2*r, 0*a = -4*a + r + 75. Suppose 11*y - a - 36 = 0. Solve 8 - 28 = -y*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1196286778 - 187664.\nAnswer: -1196474442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2612?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b*b**5))\/b*b**(-14))\/(b**(-2\/49)\/b**(2\/5)))**3 assuming b is positive.\nAnswer: b**(-14376\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -84*a**3*p*v - 572*a**3 - 2*a**2*p*v + p - 2*v wrt p.\nAnswer: -84*a**3*v - 2*a**2*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 44*v**2 - v + 53. Let k be d(44). Suppose -3*c = -5 - 1. Suppose c*b - 3 = 7. Solve -p - b*q - 6 = 9, 0 = -p - 2*q - k for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 15) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103*(-6 + 167\/28) and -31\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1557*a**4*n - a**2 + 116*a*n wrt a.\nAnswer: -37368*a*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 10. Is h\/(-4) + 4982\/8 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -50, -25, 74, 271, 590, 1055?\nAnswer: 1690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5234*x**4 + 209641 with respect to x.\nAnswer: -20936*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-30))\/(-1*4\/20)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) + (sqrt(52) + 2)*6 + -2*sqrt(260)\/sqrt(5) - (sqrt(5200) + 0 + 3)) + -3.\nAnswer: -10*sqrt(13) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5440 and 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -26, 3, -257 in descending order.\nAnswer: 19, 3, -26, -257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/18 + -3*14\/(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -258787, -5, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 620055436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 7*p + 3. Let o be y(-7). Let u = 16 + -11. Let i(x) = 2*x - 3. Let j(n) = -4*n + 5. Give o*j(a) + u*i(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -193\/109980 and -55\/18468.\nAnswer: 56419740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of 0*n**2 - n + 0*n**6 + 0 - 1\/14*n**7 + 0*n**3 + 3\/20*n**5 + 0*n**4. Let h(g) = 0. Calculate g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -v**6\/120 - 17*v**5\/30 + 31*v**4\/24 - 139*v**3\/6 + 3*v**2 + 2*v + 750. What is s(-35)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 1481368511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/5)\/((-11)\/(-275)). Let a = 0 - b. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -7*m - 95. Let a be o(-15). Suppose a*u - 40 = 2*u. Suppose 0 = 5*v - 4*k - 48 - 43, 27 = v - 3*k. What is the highest common divisor of u and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = d - 34. Let h = -6 + d. Let z = 66 + h. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5274, 1, -2, -61, -3 in descending order.\nAnswer: 1, -2, -3, -61, -5274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 546 and 318.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -13. Suppose -k*s + 10*i - 5*i = -92, 0 = 4*s + i - 92. Which is smaller: 1 or s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/26 and 157\/60.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -105\/2*s**5 - 605\/2*s + 35 + 505*s**4 - 1085*s**3 + 900*s**2 = 0.\nAnswer: 2\/7, 1\/3, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 8 - 9. Which is greater: 2\/11 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 529\/28 - 134\/7. What is the closest to -0.1 in -2, 9, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 365, 458, 553, 650?\n\"Answer: i**2 + 90*i + 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10448.9999985882 - -10449. What is n rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.76 times -2299300?\nAnswer: -1747468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -766784*q**2 + 776261*q**2 + 2*q - 2*q in the form d + p*q + y*q**2 and give y.\nAnswer: 9477","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 26*c**2. Let i(s) be the third derivative of -s**4\/24 + 8*s**3\/3 - 165*s**2 + 6*s. Determine i(a(p)).\nAnswer: -26*p**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0 + 5 = 0, 2*p + 5896 = 2*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 4 + 1829*c + 369*c + 2 + 5.\nAnswer: 2198*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + 18 + 1 + -4 - (-21 - 0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zyczkc?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.046 and 25.\nAnswer: -1.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + g + 0*g + 4 = 0, -g = -4*s + 19. Let b be (-15)\/30*(23 + 2 + -5). Put b, 4, s, -3 in descending order.\nAnswer: s, 4, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111010 (base 2) to base 15\nAnswer: 3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -143, -1\/4, 0.04, -46\/5, -2\/11?\nAnswer: -143","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/5))**44)**(-43)*q**(-3)*q\/q**(-1\/2)*q**2*q*q**(2\/9) assuming q is positive.\nAnswer: q**(68267\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 0*g + 6*g - 4*g - 11. Let p be m(8). Suppose 2*s + 4 = -p*a, -28 = -2*s + s + 5*a. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (400\/560)\/(76\/(-28) - -3)*(27 + -17).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*t**2 + 276*t + 10141 wrt t?\nAnswer: -16*t + 276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 2*t + 34, 31 = 2*v - 5*t + 4*t. Calculate the lowest common multiple of v and 634.\nAnswer: 4438","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-116)\/10)\/((-20)\/50). Suppose -o*n + 10*n + 57 = 0. Suppose 2*h - 383 = -4*i - n*h, -5*h = -2*i + 229. Does 6 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from urgan. What is prob of picking 1 u and 1 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -312 divided by -6?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/(-16))\/(18\/(-48)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 0 + i - 4*i - 3. Let x(v) = -v**2 + 6*v. Let g be x(5). Suppose -5*p = -5*r + 10, 3*r - 14 = g*p + 2. Determine l(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0119940402 rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 1 (b) 0 (c) -18\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3726 and 6623586?\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/2334955 and -21\/1667825?\nAnswer: 11674775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 106\/7 in -1\/2, -1\/5, 2\/17, -1171?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003 to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) - 5*(3*sqrt(228) + sqrt(228)) - sqrt(228)*-2*-2)\/(sqrt(12) - -3*sqrt(12)*-1 - (sqrt(12)*1*5 - sqrt(12))).\nAnswer: 23*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 408 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -7*z**2\/2 + 37. Let j(k) be the second derivative of -k**3 - 21*k. What is o(j(c))?\nAnswer: 42*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 3*s + 4. Let q be i(-5). Is 40\/q*(-70)\/(-20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2 - 230*y - 228.\nAnswer: -2*(y + 1)*(y + 114)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -80.5 - -76.59. Let i = -50.841 - u. Let o = i + 47. What is o rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 730340 and 18460.\nAnswer: 51854140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 3 - -23) + -24.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 6*j + 19. Let x be g(-7). Let m = 58 - 25. Let d = x + m. Is d less than or equal to 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6812 divide 2009880600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 5*r = 34, 0 = -a + 3*a + r - 11 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 556\/15 - 212\/5. Which is smaller: -4 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2*g = -110. What is the units digit of ((-11)\/g)\/((-2)\/60)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -15, -4.\nAnswer: -18, -15, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 12522 * -5426\nAnswer: -67944372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7168.7 - -7216.597. Let x = g - -0.103. Let k = x + -48.000000196. Round k to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 + 41 = -3*f. Let s be -1 - f\/4*-8. Let a be (2 - 4)*-2 + (1 - 1). Solve 0 = a*n + 13 + s for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i. Let d(h) = -h**2 + h + 6. Let w be d(0). Suppose n = 4*n - w. Suppose n*v + 13 - 3 = 0. Determine t(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 116732*i. Let q(s) = -29*s**2. What is q(w(x))?\nAnswer: -395164434896*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -3*f**3 + 96093*f**2 - 7860609*f + 36901095 = 0.\nAnswer: 5, 77, 31949","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 10*o**2 - 10*o - 2. Let t be m(-9). Let x = 1 + t. Suppose 0 = -2*n + x*n. Solve 4*v - 12 = -n*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -q**8\/2240 - q**7\/84 - 5*q**6\/48 + 3*q**4\/2 - q. Let g(o) be the third derivative of d(o). Let g(p) = 0. What is p?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51 - 50.34. Let y = -5.66 + s. What is the second smallest value in y, 1, 0.5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000247474 to five decimal places.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 1325.9409\nAnswer: 662.97045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrwrrrrrrrr. What is prob of picking 3 r?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.5 + 3. Sort 3\/16, 2\/9, d.\nAnswer: 3\/16, 2\/9, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 144 = 4*k, 3*k = -9*m + 4*m + 176. Let c = 70 - m. Calculate the remainder when c is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-76)\/27)\/19)\/((-3)\/(-45)*2)\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 347609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 56*u**2 - 672*u + 30462. Give j(54).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -170 != -23\/101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-6)\/4*30\/(-45).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/12 and -67\/7836.\nAnswer: 7836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y + 15 - 3*y**2 - 9 + 2*y**2. Suppose j = -j. Let r(v) = -v. Let a be r(j). Give s(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -2*v + 2*o + 160, 2*v = 3*o + 155. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.13811 to 3 decimal places.\nAnswer: -0.138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/2 + 79*w\/2 - 39.\nAnswer: -(w - 78)*(w - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 96*c + 104*c**2 - 716*c**2 - 42*c**2 - 94*c + 1 in the form l*c + r + u*c**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mt when two letters picked without replacement from ngtlm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (48\/(-56))\/((-4)\/(-3500)). Round q to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-3*7*6\/63?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/11 in 0.18, 210, 27, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ninety-one quarters of a microgram in nanograms?\nAnswer: 22750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1+-52490004.06\nAnswer: -52490003.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 - 21. Let j = 11 + b. Suppose -3*f + 3 = -2*i - j, i = 2*f - 14. Is 2 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3526009301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 11*k. Let t(f) be the third derivative of -f**5\/60 - 702*f**2. Give l(t(z)).\nAnswer: -11*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -440740, -440740, -440730, -440704, -440656, -440580?\n\"Answer: m**3 - m**2 - 4*m - 440736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1853 + -1272. Calculate the remainder when o is divided by 97.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3744 is divided by 422?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 419 - 422. Let z = 6.37 - 11.37. Sort 30, z, n in increasing order.\nAnswer: z, n, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11\/(-11 + 22) + 115\/(-120). Which is the closest to n? (a) 2\/3 (b) 0.4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-6))\/f)\/(f\/(f\/f**3))*(f*f**(-4)*f)\/(f\/((((f**(-1\/2)*f*f)\/f)\/f)\/f)) assuming f is positive.\nAnswer: f**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6539 (base 11) to base 14\nAnswer: 3209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*w - 2 = 64. Solve -l + 4*n - w = 0, -l - 2*n + 3 = -1 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 3*q**2 + 4*q - 3. Let m be w(4). Let g(i) be the third derivative of 0 + 0*i - 1\/4*i**4 - 2\/3*i**3 + 8*i**2. Give g(m).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 38 (b) 1\/8 (c) 9293 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(((k**11*k)\/k)\/k)*((k\/(k**0*k))\/k)\/k)**(-10)\/((k*k**1)**(11\/4)\/((k\/(k\/k**(-1\/7)))\/(k\/(k\/(k**(1\/2)*k)*k)))) assuming k is positive.\nAnswer: k**(727\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 3\/4, 5\/6, 0.3, 0.02 in ascending order.\nAnswer: 0.02, 0.3, 3\/4, 5\/6, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 58519*i + 2750418. Give s(-47).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7679524*f**2 + 5728044*f wrt f.\nAnswer: -15359048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 5*w + l + 4*l, -3*w + 17 = 5*l for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 627*g + 161 = 650*g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 5, -38, -3, 0.4, -0.057?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1453548 and 4272?\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(((x\/(x*x*x**24))\/x)\/x))\/x**(-36) assuming x is positive.\nAnswer: x**64","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h**3 + 40*h - 40*h - 6*h**3.\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -182 + 187. Let b(w) = 63*w**2 + 3 - w - 58*w**2 + n*w + w**3. Determine b(-5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w. Let m(q) = 92419*q**2. Calculate v(m(b)).\nAnswer: -184838*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 195415 to the power of 1\/2, to the nearest integer?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6887.8864 rounded to the nearest integer?\nAnswer: 6888","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q**2 - 3940*q - 564896 = 0.\nAnswer: -127, 1112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -142405*-1.9\nAnswer: 270569.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 3*p - 2. Let q be ((-6)\/4)\/((-3)\/4). Calculate the smallest common multiple of v(q) and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 459262 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 129 or 2711\/21?\nAnswer: 129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 + y**2 - 5*y**2)*(-3 - 1 + 3) + y**2 + 0*y**2 + y**2 + (0*y + y + 0*y)*(-y + 5*y + 27*y) + (2*y - 4*y + 3*y)*(-y + 5*y + 0*y).\nAnswer: 39*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of d**8\/2240 + d**5\/40 - d**4\/4 + d. Let h(j) be the third derivative of p(j). Differentiate h(v) wrt v.\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5342785?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-4) - 152\/(-32). Suppose k*j = j. What is the second derivative of 5*x**2 + 8*x**2 - 11*x + j*x**2 + 2*x wrt x?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7470.2 to the nearest 100.\nAnswer: 7500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -25, 0, -7?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-8\/5)*u\/(u\/((u\/u**(-5))\/u*u)))**(-16) assuming u is positive.\nAnswer: u**(-352\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**4 - 44*i**3 + 144*i**2 - 64*i - 256.\nAnswer: 4*(i - 4)**3*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -96, -95, -96, -99, -104?\n\"Answer: -n**2 + 4*n - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -324\/7 - -326\/7. Which is the second smallest value? (a) 1 (b) w (c) -5 (d) -45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 + (-160)\/16 - -48)*(-1)\/2?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 145 and 102995?\nAnswer: 2986855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + (-2 - 0) + (2 - 2). Suppose s = -2*q + 8 - 0. What is the least common multiple of q and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.37946? (a) -3\/136 (b) 4 (c) 25 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2))**3)**(3\/34) assuming j is positive.\nAnswer: j**(-9\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(1900) + 0)*-6 + 3)*-3)**2.\nAnswer: -9720*sqrt(19) + 616329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -13411 (base 5) in base 4?\nAnswer: -101102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1042, -2\/1879, 7.8?\nAnswer: -2\/1879","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (153\/9)\/(1\/(-2)). Let l = c + 45. Is l a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 4061203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*h + f, -12 = -3*h + f - 2*f. Which is the nearest to -1? (a) 3\/4 (b) h (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 31. Let h be 1\/(-2) + 140\/(-8). Let l = m + h. Is 5 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 0.088719\nAnswer: -0.266157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 13*n**2 + 10*n + 25. Let d be k(12). What is the highest common divisor of d and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -150 (base 11) in base 12?\nAnswer: -128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.7084 rounded to 1 decimal place?\nAnswer: 35.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + 92*s**2 - 191*s - 286. Let h be c(-94). Suppose -32 = -m + 24. Let x be (h + m\/12)\/((-8)\/2). What is the closest to x in 0, -0.5, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v. Let h be q(5). Suppose h*y - 4 = 6*y. Calculate the remainder when ((26*-2)\/y)\/(-1) is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 128269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 3*m - 6*m + 807, 4*o = 12. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + 6*p - 15. Calculate i(6).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1980\/(-24))\/11*(-104)\/260. Determine r, given that 0*r + 1\/5*r**z + 2\/5*r**2 + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6781.\nAnswer: 6781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -5*p + 10*r, -4*p + 0*p + 4*r + 100 = 0. Solve -10*d + 180 = p*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51 - 187. Let l = t - -139. Calculate the lowest common multiple of 12 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/(-4*sqrt(6)*1).\nAnswer: -sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (-68 - -91) + 24?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**3 + g**2 + 2*g**3 + g**3. Let k be f(3). Is (k\/15)\/(-1)*-30 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -366.559 rounded to the nearest 10?\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -0.07.\nAnswer: 0.035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -8885931 divided by -11?\nAnswer: 8885931\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - 5*r - 1. Let y(c) = -c**2 + 5*c + 5. Let n be y(5). Suppose -6*i + 15 = -i - 5*w, -5*w = n*i - 25. Give k(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1928 + 1948. What is the smallest common multiple of z and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -197217520 divided by -49304380?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 11*b**2 + 13*b + 3. Give x(-12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 (base 7) in base 11?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 10, k: 9}. What is prob of sequence sskk?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1149b (base 12) to base 15\nAnswer: -6cde","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/4*4\/3. Suppose 182 = 5*t + 52. Let i be (24 - t) + (1 - -4). Solve w + o*c - 10 = 0, 2*w - i*c + 22 = 7*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 970 = 4*g + 2*s, g - 2*s + 6*s - 232 = 0. Let v = -135 + g. Let i = v + -34. Calculate the remainder when i is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 3:42 AM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -3, 3, 0.4, -3210, 0.3.\nAnswer: -3210, -3, -0.5, 0.3, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/6 + ((-2116)\/69)\/23 + 4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -r**7\/63 + r**5\/30 + 4*r - 2. Let p(c) be the first derivative of d(c). Solve p(h) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence us when two letters picked without replacement from {o: 1, s: 4, i: 2, v: 2, n: 2, u: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {w: 4, l: 10}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3*g = 16, -3*g + 2 - 10 = i. Let y = 143104.9 - 143105. Which is the closest to 0? (a) 4\/9 (b) i (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-526)\/33 + (-3)\/18*(-44)\/(-121)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.0276 to two decimal places.\nAnswer: -2.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*((f\/(f*f*f**(-1\/8)*f))\/f)\/f)**0)**22 assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 26 + 2*m**2 - 15 - m**2 + 4*m**2 - 14*m. Let i(f) = 3*f**2 - 9*f + 7. What is -8*i(p) + 5*l(p)?\nAnswer: p**2 + 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 1:43 PM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16173?\nAnswer: 3, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -60*t**3*v + 180*t**3 + 4*v**4 wrt v.\nAnswer: -60*t**3 + 16*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 2*v - 6 - 0, -3*v - 2 = -2*u. Let r be (1\/(-2))\/(2\/(-4)). What are the prime factors of r\/u*-2 + 11?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) -229\/5 (b) 4 (c) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {b: 3, m: 13, c: 2, r: 1, l: 1}?\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13 - 21533?\nAnswer: -21520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i**(-6)*i)))\/(i**2\/i))**(-8\/9) assuming i is positive.\nAnswer: i**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 23*f**2 - 24*f + 1696. Calculate u(20).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 6. Suppose -2*s + l = -5. Suppose 3*a = -h + 11, h - 2*h + s*a = -11. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - 24\/(-13) - (-1264)\/104. Let n be 9\/(-2)*(-16)\/y. Solve 11 = 5*w - 3*j - n, -5*j = 4*w + 16 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.1 (b) -1\/5 (c) 0.2 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3548 + 3333.7. What is d rounded to the nearest ten?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6 - -2 - (31 - 8). Is k not equal to -27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4796?\nAnswer: 2, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 311005\/369 or 843?\nAnswer: 843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-120)\/(-9))\/(-4))\/(34\/(-51))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - p + p. Solve u + 2*y = 3, -5*y + 3 + p = -2*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1229396)\/(-2238012) + 5\/(-9)\nAnswer: -2\/321","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 224\/(-368)*(-460)\/14\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -42\/11 (c) -3\/7 (d) -0.2 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2164 - 2162. Solve 5*q = t - 0*q + 23, 0 = -t - i*q + 12 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p**2 - 3 + 0*p**2 - 2171*p**3 + 5*p**2.\nAnswer: -2171*p**3 + p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -18 + ((40 - -19) + 15 - 55)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.87052l to millilitres.\nAnswer: 85870.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/((-3)\/(-8)*-2). Suppose -588 = -2*a - w*a. Suppose 3*u**2 - 22*u - 34*u - 4*u**2 + 9*u**2 + a = 0. Calculate u.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 790 = 3*o, 3*o - 2*l - 72 = 694. Let q = o + -82. What is the tens digit of (-4)\/(-18) - 3\/((-54)\/q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -i - 28, -4*c + 23 - 4 = -5*i. List the prime factors of 90*22 + (-5 + c)\/(-2).\nAnswer: 3, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 198.55 + -200.538576. Let f = m + 1.99. Round f to 4 decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -6, -2, 0.5, -0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 95963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 5*r + 4. Let x(j) = -14*j - 11. Calculate -17*i(w) - 6*x(w).\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**3 - 16*f**2 - 147*f - 1652. Determine q(-11).\nAnswer: 691","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 93526863*g - 37809. Let p(k) = 12368*k - 5. Determine -5*l(c) + 37809*p(c).\nAnswer: -12603*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15.68 + 7.82. Are y and -5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -4*r - 126, -4*r - r - 147 = -4*i. Let m = r + 43. Let z be 2\/4 + (-4)\/m. What is the smallest value in z, 0.4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-21)\/(-350)*15*8\/(-9)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/28 and 58\/77.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 428 - 48 = -4*a, -3*a = -2*u + 305. Let x be (-320)\/(-2 - a\/50). What is x rounded to the nearest one thousand?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 126130 to the nearest ten thousand.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 1829 divide 82262475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/2)\/((-2)\/(-24)). Find the third derivative of -4*n**m + 4*n**6 - 2*n**2 - n**2 + 5*n**6 wrt n.\nAnswer: 600*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (0 + sqrt(26)\/(sqrt(2) - sqrt(12)\/(sqrt(6)*-1)) - (2 + -1*((sqrt(13)*-1 + sqrt(13) + sqrt(13))*4 - sqrt(13)))))**2.\nAnswer: -7*sqrt(13) + 641\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*i = -6. Let l(q) = -q**3 - 2*q**2 + 2*q + 1. Let m be l(-3). Suppose 3 = m*c - 13. Solve 4*r - i*r + 5*p = 17, -c*r + 3*p - 5 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*l - 18*l - 58*l + 18*l - 26*l.\nAnswer: -104*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**3 + 10*i**2 - 16*i + 41. What is y(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2134, -2, 0 in descending order.\nAnswer: 2134, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = m - 47. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.14 in -0.1, 9, -2\/7, 0.3, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19741*j**5 + 8*j**4 + 2*j**3 + 3*j**2 + 257*j + 58 wrt j.\nAnswer: 1184460*j**2 + 192*j + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of 0*g**4 + 0*g**6 + 0*g**5 + 1\/2*g**3 + 0*g + 1\/105*g**7 + 0 - 2*g**2. What is the derivative of p(d) wrt d?\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3*(-11)\/(-33))\/(3\/135). What is the highest common divisor of j and 1245?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29991*d - 15009*d - 14974*d - 671 to the form x*d + i and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, s: 4, v: 1, u: 1, d: 4}. What is prob of picking 1 r, 1 s, 1 v, and 1 u?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25453671.\nAnswer: 3, 929, 9133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -6160000 to the nearest 100000.\nAnswer: -6200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/17)\/o*o)\/o)\/o**(-2\/5)*(o*o\/(o\/(o\/(o\/o**27))))\/o**(2\/17) assuming o is positive.\nAnswer: o**(2309\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1888848 and 2106.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-1)*30\/75?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.072 in -0.5, -1, -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3\/26 (b) -2 (c) -1 (d) -50 (e) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l\/l**(-4\/21)*l)))\/(l\/l**(1\/23)*l*l)*l**(1\/8)*l**(-1\/5) assuming l is positive.\nAnswer: l**(-16249\/19320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a*j - 4*a + 34*j**2 - 87 with respect to j.\nAnswer: a + 68*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/3 and -26\/24351.\nAnswer: 24351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v. Let u(q) = 2*q + 5*q**2 - q - 8 + 7. Let a be u(-1). Let s(y) = -2*y - 3*y + 5*y - a*y. What is s(j(w))?\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 130062?\nAnswer: 650310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -80 - -84 - (4 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 o when two letters picked without replacement from {d: 3, t: 4, o: 2, i: 6}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 442 = 16*f - 45220. Does 17 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2182, -0.2, -0.5, 5\/3.\nAnswer: -2182, -0.5, -0.2, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*r**2 - 4*r - 15*r**2 + 2*r**2 + 28*r + 72*r**2.\nAnswer: 96*r**2 + 24*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v**2 - 6*v + 6. What is h(4)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*t - 161 - 853. Let y(k) = t*k**2 + 80*k**2 - 160*k**2. Let b(d) = 7*d. What is y(b(v))?\nAnswer: -98*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -0.086815?\nAnswer: 0.34726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence coe when three letters picked without replacement from rerrecerrrro?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(208) - 3*(sqrt(208)*2 - sqrt(208)) - sqrt(208)) + -4)*6 + 1)**2.\nAnswer: 4176*sqrt(13) + 68233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-99 + 114 - (-2 + -6)) + 14\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -171.1 - -170.6. Which is the second smallest value? (a) v (b) 0 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (11 + 8 + -1 + -10)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**2\/6 + 6604262*c\/3 - 13208525\/6 = 0. Calculate c.\nAnswer: -13208525, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 10:06 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of -v**8\/168 - 11*v**7\/15 + v**6\/40 - 2959*v**5\/30 - 6839*v**2. What is the third derivative of p(u) wrt u?\nAnswer: -120*u**2 - 3696*u + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-24)\/72)\/((-2)\/18). Let x(t) = -6*t + 5*t - u*t + 3*t. Let b(o) = -35*o. Give b(x(f)).\nAnswer: 35*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that q**5 - 20109*q**4 + 622577*q**3 - 3192627*q**2 + 4517550*q = 0.\nAnswer: 0, 3, 25, 20078","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -1\/33573 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3366*d + 5113*d - 146748 = 0 for d.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1463 and 266?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46.381 - -0.119. Let h = -34 + -13. Let f = k + h. What is the third smallest value in f, -0.3, 0.5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of y**6\/120 - y**5\/30 - y**4\/24 + y**3\/6 + 7*y**2 + 3. Calculate u(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bhubhg. Give prob of picking 2 h and 1 g.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5372, -5, 3, 1047.\nAnswer: -5, 3, 1047, 5372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of o**4*y + 9*o**4 - 2*o**3*y + 5014*o**3 + 22977*o**2*y - 232*y wrt o?\nAnswer: 24*o*y + 216*o - 12*y + 30084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 1230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -680.\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/2*(0 + -2). Let b = q + 13. Suppose 0 = -11*t + 17*t - 30. Calculate the highest common factor of b and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, j: 1, h: 2, r: 3, w: 6}. What is prob of sequence rgg?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1770215 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (20 - (21 - -6)) + 9 + 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b. Let n be p(-5). Suppose -5*u + u - 4*h = -8, -5*u + n = -2*h. Determine m so that 14*m - 6*m**2 - 12 - m**u + m + 4*m**2 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 331?\nAnswer: -335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 2*g**2 - g + 2. Let b(s) = s**3 - s**2. Let n be b(2). Let x be c(n). Let q = x - -49. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129503266 minus -43391?\nAnswer: 129546657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 4:52 AM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 6896 = -342*w - 92*w for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11865 - 11864.656. What is the second biggest value in s, 2, 1\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 10 + 28 = 0. Let y(t) = 12*t**3 + 9*t**2 + t - 13*t**3 - w*t + 9. Is 9 a factor of y(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 45 + 18. Suppose 19*x - 74 = 40. Let c be (q + 6)*x\/(-9). What is the highest common factor of 90 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -495, 15.\nAnswer: -495, 15, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -6404.\nAnswer: 1\/6404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/10*(-70)\/(-21).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/35, -2\/21, -3, 0.5, 1.11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, y: 1, m: 2, k: 2, z: 1, h: 3}. What is prob of picking 1 m and 1 k?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/4 of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2 = 2*m, -4*d + 2*m - 7*m + 13 = 0. Suppose -11 = -v + 3*k, 4*k + 4 = -3*v - d. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 32*s - 9. Let n(t) = -40*t + 9. What is 6*n(b) + 5*o(b)?\nAnswer: -80*b + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.043, -2, -103, 3 in descending order.\nAnswer: 3, -0.043, -2, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, -27344, 3\/7 in descending order.\nAnswer: 3\/7, -3\/7, -27344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 216*x**2 - 133*x**2 - 65*x**2.\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -19*a - 134. Let j(l) = -6*l - 51. Calculate -8*j(b) + 3*m(b).\nAnswer: -9*b + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15891 - 15904.935. Round d to 1 dp.\nAnswer: -13.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24*(-192)\/2232 - (-6)\/93?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*k + 5*k - 6, 0 = -2*o - k + 12. Solve -o*t - 23 = 1 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 578035 is divided by 88.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from {v: 9, r: 3}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (24\/5 + -4)\/(2\/60). Calculate the greatest common divisor of s and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27933149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 9:00 PM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 66861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -2. Let u(l) = -l**3 - l**2 - l + 3. What are the prime factors of u(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*g - 8605 = 1601. Suppose g*n - 814 = 188*n. What are the prime factors of n?\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -60c - 3?\nAnswer: -610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 71 + -70. Solve 0*r = -r - y + o, 0 = -r - 3*y - 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 525576 and 29438.\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 112 - 108. Suppose b*p - 18 - 2 = 0. Solve -13 - 16 = -2*v - p*y, -4*v = 5*y - 33 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -55.982 - 0.018. Let l = 56.107 + v. Let o = l - 16.107. Which is the fourth smallest value? (a) -5\/4 (b) 2 (c) o (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0\/1)\/(16 - 14). Suppose -5*r + 306 + 129 = g. Is 50 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 22\/10676893?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 149.93124 rounded to zero decimal places?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -2375 + 2379. Let z = 29\/90 + -1\/10. Which is the nearest to z? (a) 0.5 (b) o (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 403561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1576 + 2242. Let k = -674 + u. Let j(c) = c + 18. Determine j(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10951.\nAnswer: 47, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34272 is divided by 532?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2. Let n(c) = c**2 - 1. Let m(p) = -f(p) - 2*n(p). Let s(x) be the second derivative of x**3\/2 - 7*x. Calculate s(m(t)).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3080886188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1262 + 0*k**2 + 1635 + 937 - 195 + 2*k**2 to j*k + q*k**2 + f and give f.\nAnswer: 3639","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 9*v + 45. Let f(w) = -5*w - 23. Let m(u) = -2*d(u) - 5*f(u). Let b be m(-3). Suppose -10*a = -b*a - 1272. What are the prime factors of a?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1bb (base 12) to base 9.\nAnswer: -348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1715))\/sqrt(7).\nAnswer: 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2651156.2+2.04\nAnswer: 2651158.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5935 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d*d**(-13\/4))\/(d**(-19)\/d)*(d*d\/(d*d**(-3)))**(-10) assuming d is positive.\nAnswer: d**(-81\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3 + 9572*y**2 - 19141*y + 9570.\nAnswer: -(y - 9570)*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -12880*a**2 + 12876*a**2 - 86*a + 318*a as b + x*a + p*a**2 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -817\/3 (b) -75 (c) 1\/6 (d) 145\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 137 - 280 + 139. Put -5, u, -6, 0, 3 in decreasing order.\nAnswer: 3, 0, u, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(1 + 0 + 1)*(-28*x + 143 - 143).\nAnswer: 56*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 683305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 10*p - 70. Suppose 3*b = -2 + 14. Suppose 0 = b*j - 26 - p. Calculate the least common multiple of j and 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 5092 = 14500. Let t = -178 + f. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42 - -599. Let h be (15\/(-6))\/(175\/(-280)). Suppose -2*f + 8 = -0*f, 0 = -3*w + h*f + z. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*a**3*f**2*h*n + 2*a**3*h*n + a**2*f**2*n - 9*a**2*f*h*n + a*f*h - 3*a*f*n + 4*f**2*h - 2*f*n wrt f?\nAnswer: 42*a**3*h*n + 2*a**2*n + 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*-96.258.\nAnswer: 577.548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 53460\/360*(-10)\/(-45)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31 or 100?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 5*s. Let o(v) = v**3 - 6*v**2. Let x be o(6). Suppose -2*f + c = -x + 12, -4*f + 5*c - 36 = 0. Do f and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 42*f + 46*f - 136*f + 39*f + 1 + 5*f**2. Let d(c) = 2*c**2 - 3*c. Give 7*d(u) - 2*k(u).\nAnswer: 4*u**2 - 3*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*x**3 + 0)*(-100 - 342 - 275)*(-2 + 2 + 1).\nAnswer: -1434*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 459674 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/1248093 and 94\/567315?\nAnswer: 6240465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 h when two letters picked without replacement from kkhkxxxknk.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 126184197, 252368397, 378552597, 504736797, 630920997, 757105197?\n\"Answer: 126184200*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 1, 36 in increasing order.\nAnswer: -4, 1, 4, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.035514768092 - 2.\nAnswer: -2.035514768092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/(-3))\/(-2) + 22. Suppose 4*x = -4*z + l, -3 = 3*x + 3. Suppose 14 = 3*w + 4*u - 64, 4*u = 12. What is the smallest common multiple of z and w?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - 1\/3*3. Suppose 3*u - 60 = -2*u + 5*d, 4*d + 30 = 2*u. Calculate the smallest common multiple of -3 + t + 2 + 8 and u.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4575971, -9151937, -13727903, -18303869?\nAnswer: -22879835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0021 - 43.1979. Let m = b - -43. What is the closest to 1 in m, 4, -12?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -301523 - -5?\nAnswer: -301514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 140604 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 35*q**2 - 36*q - 89. Calculate o(-36).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.15143 decades in years?\nAnswer: 491.5143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (5568\/3132)\/(1*16\/(-60))*57\/(-5)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 1 = 3*k. Let p be (-8)\/(-40)*k\/(-1). Which is the biggest value? (a) 0.2 (b) p (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -31*v + 56. Let m be k(3). Let s be 1\/2 - 23\/2. Let z = s - m. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 35\/(-15)*(-4)\/7. Let k(i) be the second derivative of i + g*i**3 + 0 + 2*i**2. What is the first derivative of k(b) wrt b?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a microgram in nanograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1145 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3152262 (base 7) to base 5\nAnswer: 44220322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -50805 (base 9) to base 6\nAnswer: -414522","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -3*p - 88, -4*p - 237 = -2*a - 259. Let d(t) = -2*t + 0*t + 27 - 4. What is the remainder when d(a) is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 17, 2.1, -1837, -0.11 in increasing order.\nAnswer: -1837, -0.5, -0.11, 2.1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*j - 341 + 957. Which is smaller: -2 or j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -11*z + 1. Let v be p(-1). Suppose -1 = 2*d - 4*j + 5, 3*j - v = 0. Solve 5 = -q - x, q - 3*q + d = -x for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 161, 165, 169, 173, 177, 181?\nAnswer: 185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3 = -2*c. Is (10\/30)\/(c\/63) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(1\/4))**(-47) assuming z is positive.\nAnswer: z**(-235\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2103 (base 7) to base 16\nAnswer: 2e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -2*g - 2 + 31, -5*g + 35 = 5*w. Let l(o) = o**3 + 3*o**2 - 11. Let j be l(w). What is the greatest common divisor of j and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 794431251?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/20*(-2)\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -5*w - 8. Let d be h(-9). Let b be d - (-3)\/3*4. Suppose -b + 1 = -2*i. Solve -4*x = -8 - 8, -i = -5*q - 5*x for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -14*b + 4. Let k be a(1). Let n(x) = -3*x + 24. Let w be n(k). What is the greatest common divisor of w and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h + 15 - 26 + 99 + 108.\nAnswer: 3*h + 196","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 24 = 3*m, 0*j - 11 = -4*j - 27 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -32433.77 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 632299441.\nAnswer: 29, 21803429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2.569 (b) -0.49 (c) 2 (d) -0.1 (e) 0.4 (f) 1\/3 (g) -39\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102010 + -10323?\nAnswer: -112333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2*-3)\/((-42)\/28). Solve 0 = d - w*d - 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -155\/258468 and -69\/48146.\nAnswer: 4910892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 16*a - 162. Let x(j) = 16*j + 162. Let c(d) = -5*u(d) - 4*x(d). What is the first derivative of c(o) wrt o?\nAnswer: -10*o + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -84, -267, -616, -1185?\nAnswer: -2028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76232?\nAnswer: 2, 13, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of -2*m**3\/3 + m**2 - 208. Factor a(g).\nAnswer: -2*g*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 132102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -18*o**4 - 42*o**3 - 18*o**2 + 122*o + 84. Let t(q) = 7*q**4 + 14*q**3 + 6*q**2 - 41*q - 28. Let h(n) = 3*d(n) + 8*t(n). Factor h(f).\nAnswer: 2*(f - 7)*(f - 2)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2432 divide 8713856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence you when three letters picked without replacement from {y: 2, e: 1, f: 4, o: 2, g: 3, u: 2}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29516344?\nAnswer: 2, 11, 13, 25801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.3 + 0. Let g = 857 - 955. Let j be (12\/21)\/(g\/147). Sort b, -0.1, -2\/11, j in decreasing order.\nAnswer: -0.1, -2\/11, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-10)\/225 + (-299935)\/(-225)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -13*r**4\/12 - r**3 + 7*r**2\/2 - 20*r. Let j be u(2). Is j at least -57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -510 (base 6) to base 12\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 - 14*r + 11. Let z be y(-9). Let d = z - 29. Calculate the greatest common divisor of 27 and d.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1279 or -1171?\nAnswer: -1279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/84*(16080\/200 + -79)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -798*u**2 - 13209*u**2 - 10926*u**2 - 19849*u**2.\nAnswer: -44782*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23*((-63)\/7)\/(-108)*20*48\/(-80).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -l*n**3 - 67*l*n**2 + 762*l - n**3 - 2 with respect to n.\nAnswer: -3*l*n**2 - 134*l*n - 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6104\/60*54231 + (-6)\/15. What is d rounded to the nearest 100000?\nAnswer: 5500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -247.7 + -46.3. Let c = n - -277.1. Let r = c - -18. Round r to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -96178, -192355, -288536, -384721, -480910, -577103, -673300?\n\"Answer: -2*x**2 - 96171*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 382 is divided by 36?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -32*h + 28*h. Suppose -h*z + 3*f = -774, -z = -4*f - 21 - 144. Which is greater: z or 152?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 8 = 12 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (1\/35*(-1350)\/162)\/(69\/161)\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 0 - ((-2 - -12) + -35 + -3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6569*o**3 + 2194*o**3 + 2215*o**3.\nAnswer: -2160*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 73.2*5790\nAnswer: 423828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 102690223 to the nearest integer?\nAnswer: 10134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, -20, -4\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 789 - 329. List the prime factors of a.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26674505 or -26674501?\nAnswer: -26674505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 224 - -3640?\nAnswer: 4164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 13 = -2*r - 3*r, -5*r - 15 = 5*q. Let i be (-1)\/(3 + 2 + q). Let u = i - -1. Solve 9 = 3*t, 5*p = t - u*t - 18 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 p, and 1 l when three letters picked without replacement from lllyitp.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-40)*-36 - 8\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98)\/((sqrt(6) - sqrt(24))\/sqrt(3))*5)\/((sqrt(308)\/sqrt(99) + sqrt(28))\/((sqrt(96)\/sqrt(3))\/sqrt(8))).\nAnswer: -15*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*((-4)\/(-8) + 0). Let t(q) = 11*q**2 + q**2 - 2*q**n. Let p(m) = -535210 + 535210 - 2*m**2. What is p(t(c))?\nAnswer: -200*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-117.53\nAnswer: -11.753","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17808)\/88881 + (-6)\/(-39)?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1370 (base 11) to base 15.\nAnswer: 7d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49.2 - -49.3. Sort -1\/3, 3\/4, m, 1\/5.\nAnswer: -1\/3, m, 1\/5, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oonn when four letters picked without replacement from ononnoooooooonon.\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 7:37 AM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-110)\/(-44)*(19\/(-5) + 9\/(-45))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 65 + -60. Suppose -3*d - m*c = -139, 39 - 132 = -2*d - 3*c. Suppose s + 76 = 3*i, 2*i + 2*s - d = 4*s. Is 10 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1298*u + 245*u = -421*u - 22798 - 43978 for u.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.36763 times 0.082?\nAnswer: 0.03014566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 8.7 times -3369.5\nAnswer: -29314.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17632, 35287, 52942?\nAnswer: 70597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 98597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4019.3 * -3.\nAnswer: -12057.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2*q = 3*q - 122, 4*q - 104 = -4*y. Is y a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - (6*sqrt(2) + 3)) + -3)**2.\nAnswer: 60*sqrt(2) + 86","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 64*z + 424. Let d be m(6). Let p(u) = u**3 - 4*u**2 + u - 2. Suppose v - 4*v = -3*i - 6, v = 2*i. Let g be p(v). Solve 0 = g*j - 6 + d for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s**2. Let f(d) = 455*d**2 + 624*d - 208. Let q(u) = -13*u**2 - 18*u + 6. Let y(j) = 3*f(j) + 104*q(j). What is n(y(i))?\nAnswer: 676*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 246 = -w. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-34)\/102)\/((-3)\/394677) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -2*y + c, 122*y - 108*y - 3*c = 55 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(130) + (-2*sqrt(130) - sqrt(130)) - sqrt(130))*-5)\/((sqrt(60) - sqrt(180)\/sqrt(27))\/sqrt(6)))**2.\nAnswer: 26325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u + 0 + 0)*(3 + 17 + 11)*(-43 + 85 + 5)*(2*u - u + 2*u) to k*u**2 + s + c*u and give k.\nAnswer: -4371","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 3*v = -363, 727 - 240 = 4*i + v. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5 - 30*i**2 + 25*i + 6*i**2 - 45*i**3 + 9*i**2 = 0. What is i?\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34*-0.0812.\nAnswer: 2.7608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 412223 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 14612 (base 7) in base 14?\nAnswer: 16b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -4*g. Let f(l) be the first derivative of -4*l**2 - 2069. Calculate 6*f(h) - 14*r(h).\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/2*732\/(-305).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 28\/75 (b) 62 (c) 1\/6 (d) 0.4 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -44.8 minus 15?\nAnswer: -59.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3469*m - 1783*m - 4*m**2 - 1 - 1688*m. Let p(k) = -k + 1. What is -n(w) + 3*p(w)?\nAnswer: 4*w**2 - w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkhkkkkkhkzpzppkkzk. What is prob of sequence kh?\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 122135 divided by -65?\nAnswer: -1879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**4 + 2*t**5 - t**4 + (-2*t**4 + t**4 - t**4)*(140*t - 76*t + 13*t).\nAnswer: -152*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -3*u + 29, 5*u + 3*a - 37 = 34. Determine j so that -22*j**4 + 4*j**2 + 32*j + 2*j**4 - u*j**3 + 0*j + 16 - 15*j**3 - 4*j**5 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -233 + 247. What is the greatest common factor of 70 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13520\/3 + -4506. Which is the third biggest value? (a) -2\/17 (b) h (c) -2\/5 (d) 0.3 (e) 1\/53\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.8 - -1029188178293.\nAnswer: 1029188178288.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3100926 days to milliseconds.\nAnswer: 26792000.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 4*u + 4. What is n(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a tonne in kilograms?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43 - 45. Let q = p - -1.976. Round q to three dps.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 + 8*v + 9. Let f be a(8). Let l(q) = q**2 - 7*q + 4. Suppose 0 = -0*h + 4*h - 32. What is the remainder when l(f) is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**2 - 3*t - 1. Let m(v) = -2*v - 12. Let d(g) = -g - 8. Let a(h) = -8*d(h) + 5*m(h). Let o be a(3). What are the prime factors of f(o)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 9:57 AM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - -1. Suppose 0 = n*m + 2*m - 792. List the prime factors of m.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -2*f - 5*p + 7, 2*p = 2*f + 14. Let i be (-57)\/(-9) - 2\/6. Let q = i + f. Solve -2*v = -0*c + q*c + 6, 9 = v - 2*c for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/5 of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1)\/a)**(-45)\/((a\/a**(6\/13))\/a*a**(-8)\/a)*((a*a**(2\/7))\/a**(-6\/11))**(-40) assuming a is positive.\nAnswer: a**(26241\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 7 = -8*g. Let c = -9 - -4. Let x = g + c. Let s(b) = -b**3 + 4*b**2 - 4*b + 2. What is s(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2. Let n(z) = z**2 - 31. Determine n(q(w)).\nAnswer: w**4 - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -222 (base 3) to base 5\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000062516 to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*a = 8*a - 88. What is the closest to a in -1, 1, -0.2, -1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kfak when four letters picked without replacement from afafcicckkifakcifac.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.5 or 0?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 15 - 1 - 7 + 1 + d. Let l(f) = -f**3 + 3*f**2 + 2*f + 2. Let v be l(3). What is the units digit of s(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -23508, -23529, -23550?\n\"Answer: -21*u - 23487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8\/(-36) - 304674\/(-27).\nAnswer: 2, 7, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 1472*q**2 + 211053*q - 23610. What is y(-1311)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000781 rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -117 + 379 - 3*u - 101 - 132 + u. Calculate i(4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.06 and 7.969045?\nAnswer: -0.4781427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 59 = -197. Suppose 2 = 5*l - 108. What is the remainder when w is divided by l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*l = 557 + 99 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - 13323747?\nAnswer: -13323747.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/187 + ((-39)\/33 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -10, -95, 4, -4, 8 in descending order.\nAnswer: 8, 4, -2, -4, -10, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18308 and 1057287?\nAnswer: 4229148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2576126 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 28366?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*k + 60 = -26*k. Solve i - 5*d - k = -12, -2*i - 4 = -3*d for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((5 - 4)\/((-4)\/(-16)))\/(-2). Let c be (5 + (0 + y)*5)\/(-1). Solve 3*k = 4*t + 32, k + 2*k = c*t + 37 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, 50, -965 in descending order.\nAnswer: 50, -37, -965","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 AM and 9:57 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5861274 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: Find the second derivative of -5*j**4 - 594716*j**2*y - 1006530*j*y + 4*j wrt j.\nAnswer: -60*j**2 - 1189432*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from afoajeeoiioijje. Give prob of picking 1 i and 1 j.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 203124 - 1240?\nAnswer: 201334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p + 28 = 72. Suppose -2*u - 5*j - 10 = -3*j, 2*u = 3*j + 15. Suppose u = -5*l - 49 + 64. Solve 0 = l*q + 3*a + a + p, 5*q - 3*a - 3 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*o - 8, 2*p - 2*o + 9 = 33. Calculate the least common multiple of p and 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 418672 divided by 4\nAnswer: 104668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 1230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34941.\nAnswer: 3, 19, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 30*q**2 + 34*q - 21. Let z be y(29). Suppose 2*p - 4*p + z = 0. Does 3 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 78 + 44 - 10 - 7*z - 21. Let n be d(14). Is 266\/3 - n\/21 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10.6, 0.1, 5.\nAnswer: -10.6, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 247 divided by -13\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*r - 65576 = -65066 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -0.3, 143, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w. Let x(s) = 1034*s**2. Determine x(h(k)).\nAnswer: 4136*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30\/3 + (-8 + 5886)\/2.\nAnswer: 3, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5916 divided by 3.\nAnswer: -1972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -105 - (-53 - (47 + -15))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1851708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 12 + -12 + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of 19*s**5\/20 - 7*s**4\/12 - s**3\/2 + s**2 - 3*s - 14. Is x(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*p + 8 = -5*u, 0*u + 4*p = 2*u - p + 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30810819?\nAnswer: 3, 13, 790021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/1*(-2)\/4. Let c be d*1\/2*-2. Let u = -0.01 + -2.99. What is the closest to c in u, -1\/5, -2\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1119?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**13*p**12*(p**(1\/4))**(-16))**(-3\/8) assuming p is positive.\nAnswer: p**(-63\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 631.9 to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 47. Let c be (-42)\/j*10\/(-21). What is the biggest value in c, 1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26971871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31144 - 334144?\nAnswer: -420343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -8*g - 5. Let t(s) = 9*s + 6. Let c(b) = 6*r(b) + 5*t(b). Let j(f) = -f**2 - 1. Let n(v) = 1. Let y(p) = -2*j(p) - 2*n(p). What is c(y(l))?\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 955?\nAnswer: 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 17. Let w(c) = -c**2 - 10*c - 8. Calculate the least common multiple of w(-8) and p.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 65 = -t, -2*t + 162 = -5*w + 12. Let f = -82 + t. Let y be (2 - 1)\/(6\/f - 1). Which is greater: y or 12\/7?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.343755l to millilitres.\nAnswer: 1343.755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13442020 + 3?\nAnswer: 13442023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1484 and 15264.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i - 3*g + 6, 2*i - 35 = 7*i - 4*g for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -314 + 215. Let a = 181 - o. Calculate the greatest common divisor of a and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 53?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2\/4 + 9734751*m\/2 + 58408479\/4.\nAnswer: 3*(m + 3)*(m + 6489831)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -5*t. Let i(p) = -p**2 + 929597. What is g(i(o))?\nAnswer: 5*o**2 - 4647985","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(((r**(-3\/4)*r)\/r)\/r)*r)\/r)**(9\/8)\/(r**3)**(1\/6) assuming r is positive.\nAnswer: r**(83\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -34.33 + 7537814510\nAnswer: 7537814475.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 o when three letters picked without replacement from {o: 4, e: 6}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47183, 47281, 47379, 47477, 47575, 47673?\nAnswer: 47771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (-4 - (0 - 13))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 143391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffkffkfkkfffkffrkf. What is prob of picking 1 k, 1 r, and 1 f?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = r + 16, -5*i + 4*r - 10 = -9. Sort 4, i, 17, -3 in decreasing order.\nAnswer: 17, 4, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7, -32, -57, -82, -107?\n\"Answer: -25*j + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and ((-5)\/6*-2 - 1)*3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34453087 and 8407?\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 2*k**3 + 7466*k**2 - 6527832*k - 6535296 = 0.\nAnswer: -4464, -1, 732","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 + -2. Let q be -2*((-4)\/j + 884\/(-72)). What is the greatest common factor of 25 and q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, m: 4, x: 3}. What is prob of sequence xz?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3559*s**3 - 3180*s**3 + 14709*s**3.\nAnswer: 15088*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*c + 10 + 135 = 87*a - 105, 4*a = 4*c - 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7, 1, -1\/33375?\nAnswer: -1\/33375","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1842182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-5 + -2 + 3*(-5 + 2*sqrt(1573) + sqrt(1573))*3*1))**2.\nAnswer: -30888*sqrt(13) + 1149421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 88648361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.4504 rounded to one dp?\nAnswer: -6.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42*q*u*v**2 - 7*q*u*v + 15898*q*v**2 + 2*q*v + 39465*q + 2*v**2 wrt v?\nAnswer: -84*q*u + 31796*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 8. Suppose -o*k + 0 + 4 = 0. Suppose 0*i = -k*i - 2*n + 206, 4*n = -3*i + 313. Calculate the greatest common divisor of i and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 829.7149l in millilitres?\nAnswer: 829714.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -35 - -574?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 68 and 0.6?\nAnswer: 40.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q. Let j(r) = -r**2 + 7*r. Let k(l) = 4*g(l) - j(l). Let u be k(3). Is u != -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*x + 5*x, -5*x = -2*r + 32. Suppose -3*k - 3 = -93. Suppose 3*m - 5*f = 15 + k, m + 5*f = -5. What is the remainder when m is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104 + -116 - ((-88)\/(-132) + (-47)\/3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.12554446 rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -8536?\nAnswer: -1\/1067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42*(-12)\/432*(30\/(-84))\/5.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 - -34. Let t = -18.4 + s. What is the nearest to 0 in 0, t, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 3*n - 4572, 0*n + n + 4*k = 1542. Solve n - 1512 = -3*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 9*i**2 + 5*i + 12. Give l(-6).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 783, 792, 803, 816, 831, 848?\n\"Answer: h**2 + 6*h + 776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -312.6 + -16291730?\nAnswer: -16292042.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3208633 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -58.9 - -7.9. Let j = a - -20.9. Let n = j + 27. What is n rounded to zero dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.139518mg in grams?\nAnswer: 0.009139518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 3*w - 24 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18 + 4)*(-9)\/2. Let x = r - 32. What are the prime factors of x?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 278*h**2 - 18894*h - 709. What is w(68)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-18))\/((-38)\/57).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -s + m, 0*s - 2*m = 5*s - 333. Suppose -3*z = s - 274. Is 23 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -12857 + 1808*b + 12857. Let d(m) = 2*m. Determine n(d(a)).\nAnswer: 3616*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 76.832 - -0.168. Let a = r - 76.99999922. Round a to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11894 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: Simplify (b*b**(-4))\/b*b*b*(b\/(((b*b**(3\/7))\/b)\/b))\/b*(b\/((b\/b**6*b*b)\/b)*b*b)\/(b*b**4)*(b**(-1))**1\/(b*b**(2\/5)*b*b**(4\/3)) assuming b is positive.\nAnswer: b**(-437\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 13*y**2 + 9*y + 31. Let b be x(-14). Let d = b + -88. Solve g + 2*o = 14, 0*g - 5*o + d = -3*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 0, -4, 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 at least -0.047?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 129*j + 9. Let i be l(3). What is the highest common divisor of i and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005948 to 6 decimal places.\nAnswer: 0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4. Let m(b) = -b + 4. Let h(a) = -a**2 - 21*a - 82. Let i be h(-16). Determine i*m(z) + 3*j(z).\nAnswer: 2*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s - 217 = 208*f + 201*f - 412*f, 47 = 2*s - 3*f for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -11*s**2 + 886*s - 960. Give m(80).\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 433991033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 175\/30 - 2\/(-12). Let y(j) = b + 3*j + 4*j + 4 + 7*j**2 - 1 + j**3. Calculate the remainder when y(-6) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - ((-7 - (-2 - 6 - -1)) + -7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*w**4 + 19*w**4 + 2*w**4 + (-w**2 + w - w)*(4 - 4 + w**2) to v*w + q*w**2 + a + p*w**4 + t*w**3 and give p.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-4))\/((7\/(-28))\/((-2295)\/(-102))).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*t**3 + 46*t + 48*t + 58*t - 152*t.\nAnswer: 43*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -13555 + -120149820\nAnswer: -120163375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2682343007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*a - 7*a. Suppose -p = a, -3*l = l + 5*p - 4. Calculate the lowest common multiple of l and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -242 (base 7) to base 13.\nAnswer: -9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -312457*l**3 - 8*l**2 + 8*l**2 + 312357*l**3 + 2*l**2 - 2*l**2.\nAnswer: -100*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 11 (b) 33 (c) 0.1 (d) 2 (e) 132\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(1\/3)*h**(9\/7)*h**(1\/8)\/h**(-5)*((((h\/h**(-4\/5))\/h)\/h)\/h)\/(h\/(h**(-4)\/h)) assuming h is positive.\nAnswer: h**(-383\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 3:48 PM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2*k = 926. Let y = k - 117. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10793 divided by -4978?\nAnswer: 10793\/4978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of w**4\/2 - 7*w**2\/2 + 3*w. What is the derivative of r(o) wrt o?\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -6*k**3 - 42*k**2 - 110*k - 529. Calculate q(-6).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 1 = 5*g, -4*u + 2*g = 74 - 80. Let n(d) be the first derivative of 0*d**3 + 10*d + 0*d**u + 5\/4*d**4 - 10. Differentiate n(w) with respect to w.\nAnswer: 15*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -459691.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -4*i + 9. Let y(h) = h + 1. Let o(c) = g(c) - y(c). Let l(b) = -5*b + 6. Let f(w) = 4*l(w) - 3*o(w). Let t(v) = 4*v**2. Determine t(f(r)).\nAnswer: 100*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 474bb57 - -e?\nAnswer: 474bb66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -77893 - -109584. List the prime factors of r.\nAnswer: 11, 43, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 8087423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 56885 smaller than 57128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4166388 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6552.023 years to decades.\nAnswer: 655.2023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10157344243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**2 - w - 2. Let v be n(2). Let f = 0.5 - 2.5. Let o = -51.4 - -51.6. Which is the closest to o? (a) v (b) 2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0261351 rounded to four decimal places?\nAnswer: -0.0261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of 196*k**6\/3 + 800*k**2 - 1214. What is the second derivative of a(f) wrt f?\nAnswer: 7840*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 20476.\nAnswer: 143332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152561734.\nAnswer: 2, 13, 719, 8161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 4, 19 in decreasing order.\nAnswer: 19, 8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 40*d - 2478. Determine m(62).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 117433*o**6 - 14758*o**2 - 2*o wrt o?\nAnswer: 14091960*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10.1 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2654 - -7756. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -787 + 783. Let p be -3 + 2 - -1*3. Suppose -p*g + 0*g = -2. What is the closest to g in y, -0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 6:47 AM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-12))\/a*a\/a**(-13\/3) assuming a is positive.\nAnswer: a**(52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - m + 4 = 0. Suppose 3*n = m*u - 54, -2*u + 4*n - 3*n + 26 = 0. Let k(j) = j**2 - 13*j + 14. Let y be k(u). Solve 0 = -y*x + 7*x - 20 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaaa when four letters picked without replacement from {a: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 16*y + 156. Let z be c(-10). Put 0, z, 0.01, 1\/5 in decreasing order.\nAnswer: 1\/5, 0.01, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 16 = n. Let k = -239.6 + 241.586. Let v = k + 0.014. Which is the closest to 1? (a) -0.1 (b) v (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*l = 2, 0 = -5*g + l + 7 + 3. Let w(h) = h**2 + g*h - 2*h - 9 - 2*h**3 + 3*h**3. Calculate w(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tyttty. What is prob of picking 1 y and 3 t?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 497, 376, 255, 134?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 456 - 431.4. Which is smaller: y or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a litre in millilitres?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tthhthhh. Give prob of sequence hh.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111110101100010011101 - -100?\nAnswer: -111110101100010011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -v**7\/420 + v**6\/240 + v**5\/120 - v**4\/48 - 40*v**2. Solve s(r) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 120 - 119. Is 4\/81 >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1218 divided by -174?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**2\/7 + 860*x\/7 - 7902\/7 = 0?\nAnswer: -439, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000004138 to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h**2 - 73 - 2*h**2 + 220 - 69 - 74.\nAnswer: 2*h**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3085)\/(-30) - (-2)\/12. Suppose -3*o + 1288 = y. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-13\/2))**(-39)*f**(2\/7)*f*f**24\/f assuming f is positive.\nAnswer: f**(3889\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/9 - 872\/(-36). Suppose h = 4*q - 2*t, 4*t - 31 = -3*q - t. What is the second derivative of -z - q + 10 + z**3 - 3 wrt z?\nAnswer: 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 0*i + 16 = 2*i, 3*i = 12603*w - 12600*w + 33 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54126085 divided by 13.\nAnswer: -4163545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/66 and 25\/99.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56460)\/214548*12\/(-50)*(-10)\/4?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 234 + 401. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*-1 - sqrt(117)) + -5.\nAnswer: -6*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26 in 0.1, 68, -8\/45?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3, -3, 3, 15, 33?\n\"Answer: 3*i**2 - 9*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and (-9)\/6*((-20)\/6 + 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18*(-3)\/6*(-55)\/99*3\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 395*n**3 - 2*n**2 + 12*n - 10. List the prime factors of v(1).\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -y**5\/20 - 4*y**4\/3 - 29*y**3\/6 - 41*y**2\/2 + 212*y. What is the hundreds digit of f(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 670995?\nAnswer: 3, 5, 13, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 6:54 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -9851*z - 3471. Let s be f(15). Let t = -25838 + -187698. Let j = t - s. Round j to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14546 - -61?\nAnswer: -144a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c + 3*c + 0*c)*(0 + 4 - 5)*(4 + 11 - 5) in the form j*c + l and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 6*r**2 - 4*r + 4. Let d be j(7). Suppose -d = -5*g + 55. Calculate the remainder when g is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3*5*15\/50?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1903641677 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(4\/7)\/m)\/m*m*m*m*m**(-1\/3))**(3\/20)\/((m**(2\/23)*m)\/m**0*m**(-5)*m*m*m**(5\/6)) assuming m is positive.\nAnswer: m**(3056\/2415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h - 6*h - 6. Let q = 13 + h. Calculate the remainder when q is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1282066 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 - 4*m**2 + m**2)*(-3 + m**2 + 3 + (-2 + 5 - 5 + (-5 + 3 + 1)*(-1 + 0 + 2) + 2 + 1 - 1)*(-62*m**2 - 1649*m**2 - 51*m**2)).\nAnswer: -3526*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (1540\/84)\/((-6)\/((-216)\/(-60)))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 657, 1252, 1861, 2490, 3145, 3832, 4557, 5326?\nAnswer: 6145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q**2 + 5*q + 5. Let b(v) = -2*v**2 - 3*v - 3. Suppose -12 = 3*o - 7*o. Let d(u) = o*z(u) + 5*b(u). Let t(y) = 5*y. Calculate t(d(i)).\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + 4)*(1 + -2). Let t be (1 + a)\/(-3 - -6). Suppose t = -2*f + 5*f - 198. Calculate the greatest common divisor of 22 and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 3*m + 554, 0*m = 5*s + 4*m - 2732. Suppose 6*d = s + 238. List the prime factors of d.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**4 + 2*b**4 + 3*b**4 + (5*b**3 + 5*b - 5*b)*(0 + 0 - 2*b).\nAnswer: -5*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192*c**3 + 159*c**3 + 29272 - 29272.\nAnswer: -33*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 191.3129 - -7?\nAnswer: 198.3129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6533 and 752.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/3258816 and 13\/120.\nAnswer: 16294080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9268)\/252 + 444\/12 - (-259)\/(-72)?\nAnswer: -27\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -536488*a**2. Let n(k) = -7*k**2. Give h(n(s)).\nAnswer: -26287912*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 1 + 2 - ((-18 - -159) + -31)\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a litre in millilitres?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 5 (c) 1 (d) 58\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3271 + -3252. Solve -5*l = 20, -3*l - 34 = s - q for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 339329.\nAnswer: 29, 11701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6116674091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + -7. Let t = j + 8. Let p = 3 + t. Solve b - 3*b - 3*k - 13 = 0, 0 = 3*k + p for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2472 is divided by 820?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(130 - 367 - 272)*(2*u + 0*u - 3*u).\nAnswer: 1018*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - 2 - (31 - 28).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 13221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*d + 2. Let t(h) = -9*h + 58. Let p be t(6). Suppose b + d*j - 84 = 0, -p*j + 6 = -b + 50. Does 13 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/((n*n*n**(-18))\/n)*n*n\/(((n*n**(-3\/4))\/n)\/n*n*n)*n assuming n is positive.\nAnswer: n**(83\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 38\/(-24) + (-11)\/(-44). Let k(s) = s - 2. Let w(o) = -2*o + 3. Let t(z) = -5*k(z) - 2*w(z). Let c be t(5). Which is greater: j or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45548 to the power of 1\/2, to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -856, -1719, -2578, -3433, -4284, -5131, -5974?\nAnswer: -6813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 118 = 296. Calculate the greatest common divisor of 69 and a.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 55, 308, 721, 1288, 2003, 2860?\n\"Answer: -d**3 + 86*d**2 + 2*d - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from {c: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-17 - 1)\/(8 + (-95)\/10). Calculate the highest common divisor of i and 204.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-18)\/27)\/(5\/(135\/(-6))). Suppose s*j = 3*z + 156, -3*z + 0*z = -4*j + 209. What is the remainder when 100 is divided by j?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -10. Suppose -n*l - 2 + 10 = 0. Let a(b) = b - 1. Give a(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -2 - (8 + -6 + 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1059 + 1091 - (-1 + 95)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -4*w + 8 + 78, w - 8 = -d. Which is the nearest to w? (a) -0.1 (b) 1 (c) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -16*n**2 - n - 2. Let u be i(-2). Let z = -39 - u. Is 21 a factor of z - (-4 + (-32)\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15213, 15170, 15085, 14946, 14741?\nAnswer: 14458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, z: 1, l: 1, n: 2}. Give prob of sequence nni.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3026*y**2 - 3063*y + 88. Let z(t) = 3025*t**2 - 3065*t + 77. Let o(n) = 7*l(n) - 8*z(n). Find the second derivative of o(h) wrt h.\nAnswer: -6036","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8)\/4 + 355 + 1 + 0?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -3*z - 0*o + 397, 4*z - 2*o = 530. Suppose 5*n - 225 = -5*w, 3*w + 2*n + 0*n = z. What are the prime factors of (-2)\/(-6) - (-3052)\/w?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 1891*p**2. Let h(i) = 8*i. What is h(n(b))?\nAnswer: 15128*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1360696, -5442754, -12246178, -21770968, -34017124, -48984646, -66673534?\n\"Answer: -1360683*a**2 - 9*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of 5*u**4\/12 - 50*u + 1. Let r(z) = -44*z. Calculate g(r(m)).\nAnswer: 9680*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i**2 + i + 13. Let f(v) = -v**2 + 7. Determine -5*f(o) + 2*w(o).\nAnswer: -o**2 + 2*o - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 5*f - 4*f + 9, 4*f = 3*p. Let w(i) be the third derivative of 1\/3*i**3 + 1\/30*i**5 + 0 - i**2 - 1\/6*i**p + 0*i. Factor w(c).\nAnswer: 2*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1ff (base 16) to base 11.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 2, -253?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6 + 26\/(-4))\/(5\/10). Is -12\/749 greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40 - -79. Suppose 0 = 2*v - 5*r - 44, -c + 11 = -4*v - 5*r. Let w(h) = h**3 + 2*h**2 - 4*h + 1. Calculate the remainder when w(3) is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 10 = 3*m. Suppose -3*g - 25 = -r + 26, 3*g = m*r - 159. Let s = r + -21. List the prime factors of s.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 10, m: 9}. Give prob of picking 2 f.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 20 = -3*o, -16*p = -11*p + 10. What is the highest common divisor of o and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -131572 (base 15) to base 8\nAnswer: -3374621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1141, -1135, -1129, -1123?\nAnswer: -1117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -11 - (0 - 2) - 1. Calculate the lowest common multiple of 2 and (-4 - -8)*s\/(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3176 (base 9) in base 2?\nAnswer: -100100100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(-2\/3)*l)*(((l*l**6)\/l)\/l)\/l)**(-25\/4) assuming l is positive.\nAnswer: l**(-175\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 247*h - 16. Let g(p) = 3954*p - 264. Let q(i) = 33*a(i) - 2*g(i). Let l(b) = 6*b**2. Give q(l(f)).\nAnswer: 1458*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 6*r + 4*r - 4 = 0, -2*r = -4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, z: 10, s: 2, m: 7}. What is prob of picking 2 s and 1 g?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -1 + 1 - p + 7 - 4*p. Does 16 divide w(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -34*y**2 - 862*y - 88. Let v be m(-25). Are v and 2\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w - 7*s + 6*s + 47, -4*w - 2*s + 23 = -65 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*h**2 + 2 + 15*h**2 - 2 - 91*h**2 + 9*h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/6 and -11\/206.\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 144*b + 1619. What are the prime factors of r(49)?\nAnswer: 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -2 + (-9 - -9) + 1 + 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/3 (b) 6 (c) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y. Let z(c) = 5*c**2 + 212. Give n(z(b)).\nAnswer: -10*b**2 - 424","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 45*g**3 - 4*g**3 + 3*g**3 + (-5*g + 5*g - 2*g**2)*(38 - 2*g - 38).\nAnswer: 48*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/8)*u**8)\/((u*u\/u**(-4))\/((((u*u\/((u*u*u\/((u\/(u\/(u\/u**(-1\/2))))\/u)*u)\/u))\/u)\/u)\/u)) assuming u is positive.\nAnswer: u**(-15\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 8*x - 1. Let z(k) = -k**2 - 15*k - 3. Give -7*y(t) + 3*z(t).\nAnswer: 4*t**2 + 11*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-8))\/((-1)\/(-10)). Let d = 4 + 1. What is the smallest value in d, -4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 59.9009157 to two dps.\nAnswer: 59.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/((o*o*o**(21\/8))\/o))\/(o\/(o**(-2\/13)*o)))**(-4\/7))**18 assuming o is positive.\nAnswer: o**(2601\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -2\/5, -56 in decreasing order.\nAnswer: -0.2, -2\/5, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.1 + 2. Let a = 11.7 - 12. Sort x, -0.4, a in increasing order.\nAnswer: -0.4, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3360 + 6397. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 7:46 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -66 + 122. Suppose 2*t = 5*k + 6*t - l, 4*k - 12 = 5*t. Suppose -2 + k = -2*v. Which is the biggest value? (a) v (b) -2 (c) 5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/8 or 1398717?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 20812339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -8*d + 25. Let u = d - 17. What is the units digit of (24\/(-16))\/(1\/u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 2*x**2 - 2. Let n be r(-2). Let d be 12 - n*1\/1. Calculate the greatest common divisor of d and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -30*-1*(-1)\/(-3). Let o = 83 - 75. Suppose 4*p = 2*c + o, -5*c + 5*p + 4 = 9. Solve -v = -4*a - 20, 0 = c*v - 0*v + 2*a + s for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 666984, 1333991, 2000998, 2668005, 3335012, 4002019?\n\"Answer: 667007*w - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-61 - 2) + (65 - 77 - (0 - 2))\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 85105 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cyv. Give prob of picking 1 y and 2 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c - 15. What is n(7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 7:43 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 497280 a multiple of 280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -11. Let q be w\/8 + -1 - -2. Factor n**2 + 0 + 0*n - q*n**3.\nAnswer: -n**2*(n - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = 2*s + 20*a, -s + 985*a - 986*a - 1 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8138, 8119, 8064, 7955, 7774, 7503, 7124?\nAnswer: 6619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 3*p**4\/4 + 27651*p**3\/4 + 96729*p**2\/2 + 110529*p + 82890 = 0.\nAnswer: -9210, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -5*m - 10, 40*o = 35*o + 3*m + 34. Calculate the smallest common multiple of 4 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -436, -870, -1304?\n\"Answer: -434*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-3)\/(p*p*p**22) assuming p is positive.\nAnswer: p**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14100*o**2 - 368*o**2 - 19*o + 19*o.\nAnswer: 13732*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -10*h - 36. Let d be b(-4). Solve -a + l + 2 = 0, 2*a = -5*l + 14 + d for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 18\/5 of a gram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9658156, -19316312, -28974468?\n\"Answer: -9658156*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, u: 4, q: 1, o: 4, c: 2, p: 3}. What is prob of sequence dp?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-75)\/30)\/(33\/(-2904)*-50)\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.1 (b) -3\/250 (c) -12 (d) 2\/73\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.657477 rounded to one decimal place?\nAnswer: 64.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -116 - -582\/5. Suppose 4*f = -1 + 9. What is the nearest to -0.1 in -4, c, f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91002 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**4 + 0*s**4 + 2*s**4)*(4 - 2 - 1)*(19*s + 884 - 884).\nAnswer: 19*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.7 + 2.72. Is q not equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2535575589?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -69 - -66. What is the closest to 0.1 in 0, z, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6368086 take away -0.5?\nAnswer: 6368086.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 785340 and 450.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -4*t**2 - 7576*t - 2864736 = 0.\nAnswer: -1372, -522","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bffbnlffbllff. What is prob of picking 2 b?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 - (0 + 0 + 0). Let c be -694*2*(-1)\/4. Let z = c + -2433\/7. What is the third smallest value in 1, o, z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gghggghhhg. Give prob of picking 3 h.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 - 17 = -t - 2*l + 5*l + 7, 2*t - 66*l + 63*l = 32 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/11? (a) 0.1 (b) 1727 (c) -203 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1)**31*(v*v\/((v*v*v*v\/(v\/v**1)*v)\/v))**31 assuming v is positive.\nAnswer: v**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.60099 - 2.6. Round v to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61.37 - 0.4.\nAnswer: -61.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*z + 5728 - 142408 = 0. List the prime factors of z.\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66454.9km in meters?\nAnswer: 66454900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4613545, 9227089, 13840633, 18454177, 23067721?\n\"Answer: 4613544*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1*(sqrt(3) - (sqrt(3) + 1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 1, 0.\nAnswer: -4, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -393053, -168, -1 in ascending order.\nAnswer: -393053, -168, -5, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29274335589 - 29274335427.000000268. Let s = c - 162. Round s to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 8*w**2 + 7*w - 17. Let f be x(-2). What is the nearest to f in 1\/2, 2\/9, 1\/11, -0.3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1822 divided by 2088.\nAnswer: 911\/1044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 5445\/116, 1\/3, -10?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of m**5\/5 - 223*m**4\/4 + 2149*m**3 + 131*m - 20. What is the second derivative of y(a) wrt a?\nAnswer: 24*a - 1338","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 278.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -842\/19 - -1703\/38. What is the nearest to 1 in -2, -0.083, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 - (-5)\/(15\/10404). Suppose -3*o = -0*o + s. Does 12 divide (-3)\/18 + o\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**2 + 3 + 0*o**2 + 2*o**2 - 2*o**2 as r*o**2 + x*o + z and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 - 112*f**2 + 2900*f + 13456.\nAnswer: (f - 58)**2*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2872 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4864, 0, -115 in descending order.\nAnswer: 4864, 0, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in -0.3, -15, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 246\/(-15) - -16 - (-244)\/10. Solve -t = -4*y - 4 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1167, -1176, -1199, -1242, -1311, -1412?\n\"Answer: -p**3 - p**2 + p - 1166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3*z**3 + 35*z**2 + 12*z - 6. Give b(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/(-2) - 5\/(-10). Let i = -0.04 - -0.24. What is the nearest to -0.1 in i, 1, d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -7*o**3 + 84*o**2 - 61*o - 1. What is the remainder when d(11) is divided by 17\/1 - (-1 + 2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/95624 and -13\/35859.\nAnswer: 286872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1424.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 21728 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 156?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 118 = -4*f + 124, -m + 4 = -6*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((36*y + 0*y + 10*y)*(3*y - 3*y + 2*y) + (-2*y + 5*y - 2*y)*(0 - 4*y + 0)*(0 + 1 + 0))*((-y + 1 - 1)*(1 + 0 - 5) + 3*y + 0 + 0).\nAnswer: 616*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4110203*b**2 - 11*b + 755093.\nAnswer: 8220406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 11:39 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/((-19)\/(228\/10))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 4, 40, -2 in ascending order.\nAnswer: -15, -2, 4, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 84.8 + -134.1. Let b = -35 - h. Let y = b + -14.30153. Round y to 4 dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 7*f**2 - 7*f + 7. Suppose -14*t + 189 = -693. Calculate the remainder when t is divided by h(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*-2*sqrt(192))**2 - sqrt(192)) + sqrt(192).\nAnswer: 27648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 13*i**4 + 80*i**3 - 163*i**2 + 97*i - 9. Let w(l) = -3*l**4 - 20*l**3 + 41*l**2 - 24*l + 2. Let r(t) = -18*w(t) - 4*x(t). Factor r(v).\nAnswer: 2*v*(v - 1)**2*(v + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327320 rounded to the nearest ten thousand?\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 494227 to the power of 1\/3, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - -6 - (-15 - (-11 - 2 - -9))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 53819473 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -484976\/55 - -8819. Find the common denominator of x and -8\/35.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46 and 1426?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 4, -2431, 5 in ascending order.\nAnswer: -2431, -5, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = 4*j - 396. Suppose 211 = 4*a + 2*u + j, 4*u = 2*a - 50. Calculate the greatest common divisor of a and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12711, -12710, -12709, -12708, -12707?\nAnswer: -12706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 10:21 PM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4*u**2 + 2)*(-448*u**2 - 418*u**2 + 910*u**2)*(4 - 4 + 1).\nAnswer: -176*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - 189\/(-9))*(-28)\/(-42). Calculate the highest common divisor of 330 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/20 of a centimeter?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -17*(-5)\/((-10)\/(-16)). Suppose -14*c + 9*c = -105. Let s be 19 - (c\/28)\/(6\/16). What is the highest common factor of s and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13493?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12654098 is divided by 6327041.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, o: 2, h: 7, v: 3, i: 3, j: 1}. Give prob of picking 1 j, 2 o, and 1 i.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-7)*210\/240.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 316024465.\nAnswer: 5, 419, 150847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-75)\/35 - -3 - 636051\/(-21) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(5 + 1616\/(-324)). Put 1, j, -1 in ascending order.\nAnswer: j, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 4 = 39*v - 43*v, 7*f + 61 = -v for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -20. Let b be 6\/(-9) - 16\/k. Suppose b*i - 40 = -2*i. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 1\/5, -3 in increasing order.\nAnswer: -3, -0.4, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sfchq. What is prob of sequence sc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-120)\/(-18)*(-9)\/108*-3*(-144)\/20\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**4\/7 - 2*j**3\/7 - 15*j**2\/7 + 32*j\/7 - 16\/7 = 0.\nAnswer: -4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3383*r + 3436*r - 530. Let w = -5 - -9. Suppose -w*z + 4 = 2*f + 2*f, 3*f - 1 = -2*z. Solve -3*g + r + 1 = -o, o - 9 = -z*g for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (7 - -1) - 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 391 is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -262 - -261.9980324. Round j to five decimal places.\nAnswer: -0.00197","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-56)*200\/(-25)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*8\/(-12))\/(10\/35).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -1\/35*v**6 + 0 - 1\/70*v**5 + 0*v**2 + 0*v**3 + 0*v**4 - 3*v. Determine h, given that m(h) = 0.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(84))\/sqrt(4))\/sqrt(3) - (sqrt(21)\/(sqrt(6)\/sqrt(2)) + 5)) + ((-1*sqrt(252)\/sqrt(6))\/((sqrt(66) - sqrt(66)*3)\/sqrt(11)))**2.\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -15005?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 46\/(-276) - (1 + (-7)\/6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 4*w - 5. Let d(m) = -m**2 - m. Determine 2*d(i) + p(i).\nAnswer: -i**2 + 2*i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-3 + 2 - 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 211563679.\nAnswer: -84625471.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 2:00 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.05 - -0.9. Let k = -4 + u. Let n = 0.497 - 0.097. What is the second biggest value in n, k, 0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.776 and 0.1.\nAnswer: 0.876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-9)\/(-27))\/(1\/18). Solve -t*r = -3*r + 2*j - 6, -2*r + 5*j = -4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*a + s - 8 = -57*a, -9*s + 11*s = -2*a - 14 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u**4 - 4120*u**3 + 1101300*u**2 - 20806000*u + 102010000 = 0 for u.\nAnswer: 10, 505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9641183?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117 + -242 + 112 + 61.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 + 16. Let i = r + 23. Calculate the smallest common multiple of i and 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((4\/(-6))\/(24\/(-12))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by (4 - 102\/27) + 170\/45?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -139 + 58. Let f = v - -81.0000098. What is f rounded to six dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*g = 45*g - 16, 0 = 3*q + 5*g + 14. Which is the fifth smallest value? (a) 5 (b) q (c) -0.17 (d) -1 (e) 0.021\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 5*k**2 + 2*k - 7. Let l be 2\/(-3)*(-81)\/(-18). Let o = 8 + l. Is z(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 338.3 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -180622 and 41 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 58 + -33. Let w = 29 - i. Solve -u - 3 = -w*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 96 (b) -15\/4 (c) 3\/5 (d) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*f + 2 - f - 5)*(-62*f + 18*f - 185*f) to m*f + q*f**2 + l and give q.\nAnswer: -458","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -299 divided by -13.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 78 = -3*n, -11*l + 7*l = 3*n - 50. Solve 3*y - 7 = -n for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187022237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 5*m**2 + 59*m - 8. Let k be g(-12). Solve -2*z = -3*z + k for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 50\/96561 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.8 and 1197.\nAnswer: -4548.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 34 = 3*x. Suppose -2*z - x = -5*s, 4 = 4*s + 3*z - 5. Let w(o) = 4*o**2 - s*o**2 - 8*o + 7*o. Let h(u) = -u. Determine -h(q) + w(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g + 2*g + 18 = 0. What is the third derivative of -35*d**g - 35*d**2 + 11*d**3 + 84*d**2 wrt d?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -5*l + 63. What is x(20)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of 16*v**3\/3 - 14*v + 9. Differentiate a(s) with respect to s.\nAnswer: 32*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {y: 2, g: 1, p: 1, u: 3}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 - 19 = 12*d. Suppose x - d*i - 7 = -5, -3*i = x - 2. What is the lowest common multiple of x and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71677 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 357?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(80) - sqrt(80)) + -4 - (sqrt(240)*1)\/sqrt(12))**2.\nAnswer: -16*sqrt(5) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 249 - (-3 + -3 + 4). Let a = l - 157. Suppose -8*b = -6*b - a. Calculate the remainder when b is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of 4*l**2 + 0*l + 0 - 7\/6*l**3 + 1\/120*l**6 + 7\/60*l**5 - 1\/24*l**4. Let w be z(-7). Which is smaller: w or 1\/27?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 24 or 4?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -76 (base 13) to base 16\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n + n - 2*n - 3*n - 3*n.\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**2 + 6*t - 6. Let a(d) = d - 1. Let n(m) = 6*a(m) - u(m). Let w(k) be the first derivative of k**2\/2 + 12. Calculate n(w(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.80854 to 1 dp.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 - 15. Let b be (-582)\/21 + (-2)\/s. Let a = -17 - b. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from fafaafaffffa?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -1. Let o = 223050 + -223038. Solve f*u - 8 = -5*r + r, 3*u - r - o = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - -3. Calculate the greatest common divisor of 2 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 236, 237, 238, 239, 240, 241?\nAnswer: 242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 507*q**2 - 10. Let v(c) = 128271*c**2 - 2535. Give -507*m(w) + 2*v(w).\nAnswer: -507*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -10 (b) 2\/13 (c) 0.5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/10*1*-5. Suppose 4*o - 3*d - 1 = 4, -4*d - 10 = -2*o. Put o, 4, u in descending order.\nAnswer: 4, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 times 916?\nAnswer: -58624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(17) - (sqrt(1377) + sqrt(1377)*3)) + 2*sqrt(272)).\nAnswer: -54*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-3*-1*sqrt(162))**2)*-4.\nAnswer: -5844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -37364\nAnswer: 37364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -12. Let b = 4 + w. Does 6 divide (11 - 16)\/(b\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -2\/15*t**3 + 1\/25*t**5 + 1\/5*t**2 + 0 + 5*t - 1\/75*t**6 + 0*t**4. Suppose o(p) = 0. What is p?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oqjqoqjjjlgj. What is prob of picking 2 o?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 k when two letters picked without replacement from nddndkkkbnkkbck.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -432133 (base 5) to base 10.\nAnswer: -14668","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 107199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c**5 + 52*c**4 + 820*c**3 + 2300*c**2 = 0. Calculate c.\nAnswer: -5, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**2 + 3*w - 8. Let d(i) = 2*i**2 - 3*i + 9. Let j(c) = -5*d(c) - 6*m(c). Let g be j(3). Suppose -15*h + g*h + 126 = 0. Is 16 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 723430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13 and 15011.\nAnswer: 195143","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 451985\/44 + -10273. Find the common denominator of -85\/84 and d.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/(-2*sqrt(12)*-4))\/((sqrt(96) - 3*sqrt(96))\/sqrt(3)).\nAnswer: -sqrt(2)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/10)\/((-98)\/(-28))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-36)\/3)\/(-3)*1. Suppose 13 = -i*x + 29. Solve -3*s = s - x for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203*v - 209186 - 76344 = 574987. What are the prime factors of v?\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4382033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -222, -577, -1038, -1593, -2230, -2937?\n\"Answer: 2*d**3 - 65*d**2 - 174*d + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -73*z**2 + 9*z**2 - 133*z**2 in the form b*z + t + n*z**2 and give n.\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*o + 47*o - 34*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/6*-3 - (-111 + 116)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 10) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-3))\/(((-24)\/20)\/3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -u - 5*y, -2*y + 0*y + 2 = -u. Suppose 15 = -u*n + 5*n, 4*k = -3*n + 315. Is k a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 81\/(-6)*20\/(-30). Solve -h - p = 2*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**2\/9 + 134*g\/9 + 92\/3 = 0. Calculate g.\nAnswer: -2, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9879, -9882, -9887, -9894, -9903?\nAnswer: -9914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40479.\nAnswer: 3, 103, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cccc when four letters picked without replacement from {o: 10, c: 9}.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 23534.93 centuries?\nAnswer: 2353.493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 535*c**3\/2 - 803*c**2 + 1073*c\/2 - 1.\nAnswer: (c - 2)*(c - 1)*(535*c - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.28 in -7\/6, -0.62, -3?\nAnswer: -0.62","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4385633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, h: 8, s: 1, j: 3, w: 2, l: 2}. What is prob of picking 1 a and 1 l?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 142760 and 56330.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 27*d**5\/7 + 54174*d**4 + 190304214*d**3 + 4141617696*d**2\/7 + 443662005*d + 42252378 = 0?\nAnswer: -7021, -2, -1, -1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-8)\/n**3*((n*n**(-12\/7))\/n)\/(n**(2\/17)\/n*n))**(-2\/45) assuming n is positive.\nAnswer: n**(1018\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -425368 divided by -2.\nAnswer: 212684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (15\/(-10))\/(1*3\/(-6)). Let g(f) be the second derivative of 1\/12*f**4 + f**s + 9\/2*f**2 + 0 - 4*f. Factor g(h).\nAnswer: (h + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 1\/(-6*(-5)\/630).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115894007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -32652412.7 to the nearest ten thousand.\nAnswer: -32650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(76)*4 + sqrt(76) + -5*(sqrt(76) - 4*sqrt(76)))\/(-3*(sqrt(196) + 6*sqrt(196)*4)).\nAnswer: -8*sqrt(19)\/175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*z = -17*z, -4*k + 5*z = k - 4*k + 45 for k.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 123112?\nAnswer: 123104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**3 + 2*u**3 - 2*u**3 + (0 + 5 - 3)*(-u + u - 2*u**3) - u**3 + 4 - 4 + 3*u**3 - 26*u**3 - 36*u**3.\nAnswer: -66*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 452a (base 12) to base 4.\nAnswer: 1313302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iidvivvdvnvdvdviddvd. What is prob of picking 3 d?\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 296870256?\nAnswer: 2, 3, 2061599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5296 = -1186. Suppose 38*z - 8*z - j = 0. What is the remainder when z is divided by 37?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 362*r + 506*r - 255*r + 389*r + 573*r to the form y + o*r and give o.\nAnswer: 1575","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 67*c + 15. Let x be s(10). Let a = 1265 - x. Suppose 8*z - a = 452. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -34846 + 204*l + 104533 - 34846 - 34846 in the form w*l + y and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.07, 1, -1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + d**2 - 4*d - 1. Let c(p) = p**3 + 7*p**2 - 9*p - 3. Let j be c(-8). Let x = j - 8. Determine k(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 - -2 - (0 - -21)) + 5\/(-4)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65973 is divided by 6591?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -121299, -242598, -363895, -485190, -606483, -727774, -849063?\nAnswer: -970350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = k + 232 + 37, -n = 2*k - 263. Let s = -265 + n. Factor 15\/7*a**s + 1\/7*a**4 + 4\/7 - a**3 - 13\/7*a.\nAnswer: (a - 4)*(a - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, o: 1, z: 1, v: 5, b: 1}. What is prob of picking 1 b and 1 f?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - s = 3, 0 = 4*b - 4*s + 19 - 7 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 95 - 94.9999994. What is w rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 915\/2 - 427. Let z = 8231\/484 + 90\/121. Find the common denominator of j and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -94450 times -0.16\nAnswer: 15112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18)\/12*8\/42. Suppose 0 = c - 3 - 0. What is the biggest value in 0.3, m, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/11 (b) -3\/4 (c) -0.5673 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 257817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -8, -1, 16 in decreasing order.\nAnswer: 16, -1, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5*o = -71, -36*k + 3*o = -34*k - 39. Solve -w = -2, -3*a + k*w - 13*w + 20 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21755 and 138525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 897 at least as big as 897?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 672 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 7*s**2 - s + 10. Suppose 0 = 4*w - 34 + 6. Let u be p(w). Suppose u*o - 2 = 4*o, 4*n + o - 14 = 0. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(1872) + -3 + (sqrt(832) - (-4 + 0 + sqrt(832))**2).\nAnswer: -853 + 84*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*x - 3, -5*x = 2*g - 1. Let d = 3 - g. Which is bigger: -4\/17 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -f**8\/28 + 2*f**7\/21 - f**6\/30 - f**5\/15 - 4*f**2 + 23*f. Factor g(b).\nAnswer: -4*b**2*(b - 1)**2*(3*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -5, -0.168?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + 3 + -4 - -6) + 19 + -7.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, h: 8}. Give prob of picking 2 h and 2 i.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 420115512 - -5?\nAnswer: 420115517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -5266a?\nAnswer: 52668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j\/j**(1\/13))))**(-26)\/(j**(-9))**(-20) assuming j is positive.\nAnswer: j**(-204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00054976634 to 6 decimal places.\nAnswer: 0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 511*n**2 - 4*n - 19. Is b(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m - 17. Let l be j(14). Suppose -2*g - 2*r + l = 3*g, 22 = -g + 5*r. Let p = g + 17. What is the lowest common multiple of 2 and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kw when two letters picked without replacement from wfkkkxg.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 52*k**3*w**3*z - 2*k**3*w**2*z + 181*k**3*w**2 + k*w**2*z**3 - 2*k*w**2*z - 14*w**3*z**3 wrt w.\nAnswer: 312*k**3*z - 84*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 7. Let v = -161\/216 + 10\/27. Which is the closest to 2\/7? (a) v (b) -0.1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -918 + 24*w**3 + 917 - w - 45*w**3 - 27*w**3 - 11*w**3 as j*w + z*w**2 + i*w**3 + x and give i.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-2) - 574\/(-8 - -1). Suppose r*n = 86*n - 812. Suppose 0 = 4*q + 55 - n. Is 14 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(6\/11)\/((f*f\/f**(-1\/3))\/f))\/(f\/((f*f*f**(-5)\/f)\/f*f*f)*f*f*f**(-3\/4)))\/(f*f\/f**(2\/27)*f**(1\/18))**(-3\/14) assuming f is positive.\nAnswer: f**(-3890\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 672\/(-36)*(-864)\/42. Suppose 3*a - 4*w - 47 - 13 = 0, 75 = 3*a + w. Calculate the highest common divisor of v and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15 + (-19 + 7)\/2. Let b(z) = z. Let s(i) = -6*i. Suppose 3*v = -l + 12, -v + 4*l - 9 = -0. Give r*b(a) + v*s(a).\nAnswer: -9*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**2*n**(-4\/7))\/(n*n**(-2)\/n*n)**(-2\/3) assuming n is positive.\nAnswer: n**(-47\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17733*o**5 + 709*o**4 - o**3 + 97473*o**2 + 1290*o wrt o.\nAnswer: -1063980*o**2 + 17016*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 8 = -0*x. Let o(f) = 2*f + 2. Let c be o(2). Let l be (-3)\/1*(-22)\/c. Solve x*h - l = -1 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*c**6*v + 15*c**3*v - 6*c**2*v + 2*c**2 + 2*v wrt c?\nAnswer: -840*c**3*v + 90*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(-48) + (0 - 790\/(-12)). Let k be ((-12)\/(-42))\/(w\/21 + -3). Find m such that -6\/5*m + 14\/5*m**k - 8\/5 = 0.\nAnswer: -4\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 236 + -9.87\nAnswer: 226.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000135884 rounded to 6 dps?\nAnswer: -0.000136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 59 - 112. Let x = -23 - b. Suppose 0 = 5*z - x - 20. Calculate the smallest common multiple of z and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -9*g + 4. Let z(r) = -425*r + 187. Determine 187*x(y) - 4*z(y).\nAnswer: 17*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-5*sqrt(63))**2)*2.\nAnswer: 3156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (-10 - -4) + (1 - -1 - -5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) 2 (c) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 12446.2517?\nAnswer: 12450.2517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 68*h = -88*h + 59*h - 285, -4*q + 18 = -2*h for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1150523.\nAnswer: 11, 104593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2533.\nAnswer: 17, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 18*-16\nAnswer: -288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -35434 (base 6) to base 8\nAnswer: -12016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11896321 divided by 11896321\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 524 and 3013.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**2 + 3*s - 20. Let d = -683 - -1012. Calculate the remainder when d is divided by k(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-18))\/((-4)\/136*-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, d: 10, i: 9}. What is prob of sequence di?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4969 = 7*r - 4983 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/4161784 and 37\/66.\nAnswer: 12485352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -6*w**3 - 10*w**2 - 10*w - 10. Let d(b) be the second derivative of b**5\/20 - b**4\/12 - b**3\/6 - b**2\/2 - 2429*b - 2. Determine 10*d(t) - g(t).\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5056309*j**2 + 3224259?\nAnswer: 10112618*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 4*s = 3*i + 12, -5*i = 3*s - 12. Suppose -3*l - 4*p + 84 = i, -4*p = -0*l + l - 28. Let w = 9 + 6. What is the remainder when l is divided by w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52, 30, -6, -56?\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 813, 1247, 1305, 987, 293?\n\"Answer: -188*d**2 + 998*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17510*l - 10573 wrt l?\nAnswer: 17510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -1503 and -4.\nAnswer: -1507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u. Suppose -4*q + 28 = 5*n, 3*q + 38 = 4*n + q. Let o(j) = n*j**2 + 12*j**2 - j**2. Give o(d(m)).\nAnswer: 171*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3134 + -1483. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*-5*(-4)\/(-16). Suppose -j*y + 4*o + 5 - 26 = 0, -3*y + 5*o - 23 = 0. Which is bigger: -1\/5 or y?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 6*a - 2. Let w be f(-7). Suppose -140 = -4*o + 3*k, -o - 2*o - k + 105 = 0. What is the highest common divisor of o and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1150 or 15?\nAnswer: 1150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -6\/415?\nAnswer: -6\/415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*q + 60 = -153*q for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of j**6\/360 + j**5\/15 + j**4\/6 + 13*j**2 + j. Let d(q) be the second derivative of k(q). Give d(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/207 or -1?\nAnswer: -4\/207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 144\/(-40) + -8 - -12. Let x = -20 + 13. Which is the smallest value? (a) x (b) -2\/11 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7553, -7390, -7241, -7112, -7009, -6938, -6905?\n\"Answer: -f**3 - f**2 + 173*f - 7724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = u - 2*u + 2*h, -12 = -3*h. Suppose -r - 542 = -4*l, 27*l = u*l - 2*r + 536. What is the greatest common divisor of l and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1160*d + 4*d**3 + 7*d**3 + 1160*d + 0*d**3.\nAnswer: 11*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41 - -44. Let k be (-3)\/(-4)*2\/s. Is 29 at most as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 34*b - 3. Let y be d(-2). Let k = y - -252. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e98 - -592f?\nAnswer: 67c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fz when two letters picked without replacement from sfffszsfzsssssfsfssf.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -3*p + 8*p + 54 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 4*t + 6 + 5*t - 6 - 8*t. Suppose v = 3*r - 5*r + 6, -5*r - 3*v + 15 = 0. Let q(u) = 2*u**2 + 4*u + 2. Calculate r*l(x) - q(x).\nAnswer: -2*x**2 - x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -0.2, 438, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 21, -31, -111, -213, -331, -459, -591?\n\"Answer: k**3 - 20*k**2 + k + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of -n**5\/20 - 2*n**4\/3 - 5*n**3\/6 + 9*n**2\/2 + 2*n. Let t be l(-7). Let c = t - -6. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -185388, -370777, -556166, -741555, -926944, -1112333?\n\"Answer: -185389*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*c**2 + 5157835*c + 3094710.\nAnswer: -5*(c - 206314)*(5*c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from whhgwgdwdgygddyy. What is prob of picking 1 h, 2 y, and 1 g?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + t - 3*t - 218, 2*p - 89 = -3*t. Suppose 2*f + p = -2*f. Let j = 24 + f. What is the greatest common divisor of j and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5509 - -128.0355.\nAnswer: 5637.0355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 11. Let m be (-11)\/28 - o\/12. Which is smaller: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2227696?\nAnswer: 2, 37, 53, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -340889, -340890, -340891?\nAnswer: -340892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3061 = -3*s + 8011, 3*s - 11067 = -3*h. What is the thousands digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 138, 275, 408, 531, 638, 723, 780?\nAnswer: 803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -78 in -3, -4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 10. Let w = -9677 - -9679. Solve k - w = -2*k - z, -i*k - 30 = -5*z for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 45 = 115. Suppose -3*w + w = -g. Calculate the remainder when 45 is divided by w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 3, -1\/7, 4, -0.322?\nAnswer: -0.322","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/692, -1\/4, 4, 5, -0.4 in decreasing order.\nAnswer: 5, 4, -1\/692, -1\/4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**4 - 4*s**4 + 0*s**4 - 3*s**4 - s**4 + 3*s**4 + (-3*s**2 + 2*s**2 + 2*s**2)*(0*s**2 + 0*s**2 - s**2) - 24557*s**3 - 231*s**4 + 24557*s**3.\nAnswer: -234*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 97*k**5 - k**3 + 144*k**2 wrt k?\nAnswer: 5820*k**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0\/22)\/(-1 + 2). Solve -4*m - 4*n = -u*m - 4, -5*m + 29 = -n for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g**3 + 37*g**2 - 30*g - 38. Let b be r(11). Solve 0 = b*p - 120*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 1)*(-11*w + 612*w + 627*w).\nAnswer: 2456*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-3)*-1*1. Let u(v) = 36. Let q(p) = -61. Let r(o) = 3*q(o) + 5*u(o). Let m(a) = -a. Determine c*m(g) - r(g).\nAnswer: 2*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 6:47 AM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 17 - 9 - 3 - (135 + -119)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3728 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: Let k(d) = 190337*d. Let r(i) = -i - 48. Determine r(k(w)).\nAnswer: -190337*w - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44748 is divided by 396?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 690956711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 317775749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2070084452?\nAnswer: 2, 517521113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 1, 7, -4, -39 in increasing order.\nAnswer: -39, -4, 1, 7, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194*m + 1568000 = 190*m. What is m rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6033.252m to millimeters.\nAnswer: 6033252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 454444*k - 151482*k - 151486*k - 31 - 10 - 151478*k.\nAnswer: -2*k - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1427, 5533, 12377, 21959, 34279?\nAnswer: 49337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -4 + (4 - -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 2043?\nAnswer: -2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*k = -2*p + 19*k - 6, -5*k - 10 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.2 + -10. Let t = -3 - k. Suppose 5*z + 4*r - 7 = 0, 4*z + 5*r = 2*r + 5. Which is the smallest value? (a) -2\/3 (b) t (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**1*s))**(15\/4)\/(s\/s**(2\/7)*s*s**(-6)*s))\/((s**1*s)**(10\/9)\/(s**(-3)\/s**(-1))) assuming s is positive.\nAnswer: s**(-1181\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2044447 divided by -23?\nAnswer: 88889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 184.6958 rounded to zero decimal places?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9 + -d1?\nAnswer: -c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l**3 - 58*l**2 + 3*l - 71. Determine z(-17).\nAnswer: -2145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (1 - (-3 + 0)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1800 and 1605?\nAnswer: 192600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 860514512.\nAnswer: 2, 11, 13, 376099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 297773 + 2*k**3 - 297770 + 2*k**3.\nAnswer: 4*k**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89825681, -179651360, -269477039?\nAnswer: -359302718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/7, -9, -6, 3\/14?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12603717 or 12603770?\nAnswer: 12603770","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*((f\/f**3)\/f)\/f))**(-34))**(-49)\/((f*(f**(-7)\/f)\/f*f*f*(((f*f**(-6))\/f)\/f)\/f)\/(f**5\/(f*f**(-2\/7)))) assuming f is positive.\nAnswer: f**(46776\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 123 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -9. Solve -10 = -m*a - 0*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 6:17 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94.25638 millilitres to litres.\nAnswer: 0.09425638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 45 + -36. Let g(u) = -23 + 4*u**3 + m - 3*u**3 + 7*u**2 - 4*u. Calculate the remainder when 27 is divided by g(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 30 = -5*q, -k + 0*k - 5*q - 10 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 2:30 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7599547cm in millimeters?\nAnswer: 7.599547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of -1\/12*a**6 - 2\/3*a**3 - 3\/10*a**5 + 0*a + 0 - 20*a**2 - 7\/12*a**4 - 1\/105*a**7. Factor u(t).\nAnswer: -2*(t + 1)**3*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + y + 4. Let s(j) = 7*j**2 + 11*j + 17. Let w(q) = s(q) - 6*x(q). Calculate w(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 2, 6, 14, 1038 in increasing order.\nAnswer: -4, -3, 2, 6, 14, 1038","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**2\/9 - 1558*j\/3 + 166656 = 0 for j.\nAnswer: 384, 1953","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5131 + -25983\/5. Let a = 66 + g. Let m = -3.6 - -1.6. What is the smallest value in m, a, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -40, -47, -54, -61?\n\"Answer: -7*j - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 726304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 e when three letters picked without replacement from {u: 4, x: 2, i: 6, c: 1, a: 3, e: 3}.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0344 - 12.9656. What is the nearest to -2 in -2\/15, p, 4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -304, -617, -940, -1273?\n\"Answer: -5*c**2 - 298*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -o - 5*j - 142, -5*o + 224 = -2*j. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 378784125 a multiple of 1725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(9\/8)\/(s**(1\/21)\/s)*s\/((s\/s**(3\/7))\/s)*s*s*s*s\/(s*s**10) assuming s is positive.\nAnswer: s**(-587\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 2*f**2 + 5*f + 39. Let c(i) = 142*i**2 - 1 + i - 69*i**2 - 72*i**2. Let m(q) = a(q) - 4*c(q). What is the units digit of m(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.54471 rounded to zero decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1321 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.45 - 0.05. Let y = 2 - 3. Which is greater: s or y?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h**2 - 14*h**2 + 26*h - 514 + 501 - h**3. What is the remainder when j(-19) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*p + 9*p - 25 + p + 23.\nAnswer: 48*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 155*q**2 + 2*q + 723 wrt q.\nAnswer: 310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*v - 10*v - 153090 = -17*v. What is the greatest common factor of v and 585?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 119053960073 + -132722545228968489\/1114810. Let t = -9\/851 + n. Let v = 58297\/2620 - t. What is the common denominator of -34\/9 and v?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 17 = 3. Let x(q) = -q**2 - 34*q + 388. Let t be x(9). Sort 2, n, -2, t in decreasing order.\nAnswer: 2, t, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 a when three letters picked without replacement from {j: 5, a: 3}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -4. Let k(d) = d**3 + 5*d**2 + 3*d + 6. Let a be k(p). Suppose 0 = -3*x + 2 + a. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 4\/7*a - 4\/7*a**2.\nAnswer: -4*a*(a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2834 - 2801 = 3*z, -2*n + z - 4 = 0. Let h = -0.06 - -2.06. What is the closest to h in n, 4, -7, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + 4 + -2 - -9. Let t = h + -27. Let j = 32 + t. Is j a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - 3. Let j be ((-4)\/(-4))\/((-3)\/a). What is the tens digit of 3 - (-3 + j)*12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(2200)*-1)\/(sqrt(12)\/(sqrt(150) + sqrt(6))) - (sqrt(176)\/(sqrt(16)\/sqrt(4)))\/(sqrt(72)\/sqrt(2)))**2.\nAnswer: 360353\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**2 + 5 + 0*l**2 - 3. Suppose 0 = -99*s + 87*s + 24. Calculate t(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/125970 and 101\/370668.\nAnswer: 457774980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 196999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.0348 and -182?\nAnswer: 188.3336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 - 87. Let f = 60 + y. Solve u + f = 3 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84808056?\nAnswer: 2, 3, 53, 61, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 14*x + 139. What is l(0)?\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 2:14 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-54)\/(-72))\/((-1)\/4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/19916 and 93\/44.\nAnswer: 219076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*p = -76. Suppose 0 = m - 4*r - p, -4*m - 2*r = -0*r - 4. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000855 to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + (0 - -2) + 3. Let y be 3 + (-4)\/t*2 + 0. Solve y*k - 20 = -2*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*x**2 - 75*x - 2322 = 0. What is x?\nAnswer: -18, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/5704 and -127\/308.\nAnswer: 439208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -6*u. Let t(d) = -2*d. Give -8*t(y) + 3*x(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2179950 is divided by 212?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -83b9b (base 12) to base 16.\nAnswer: -2a2e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (-9 + -1) - 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61057, 2, -3, -0.3.\nAnswer: -61057, -3, -0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -209515, -419340, -629165, -838990?\nAnswer: -1048815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.563 + 0.4\nAnswer: 1.963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 5 = -5, 0 = -4*l + x + 14. Suppose l*a - 8 = -0*a. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -176 or 726?\nAnswer: -176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 6:22 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7)\/((-1995)\/372) + (-92)\/874. Suppose 0*a = 2*a + s - 8, -4*a + 3*s - 4 = 0. Is o < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 169 divided by 169\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 3*w - 21, -5*p - w - 9 = -2*p. Let g be 535 + 2*(p\/8 + 1). Suppose -4*x - k = -733, -3*x + 3*k - k = -g. Does 29 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 9:13 AM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.015805 to one dp.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (56 + -59 - (6 + (0 - 1)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*n + 48 = 48*n. Find the first derivative of 136*v**4 - 136 - 260*v**4 + 126*v**n - 34*v**2 wrt v.\nAnswer: 8*v**3 - 68*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14714401?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -23*u**2. Let z(x) = 5*x**2 - x**3 - 5*x + x**2 + 0*x**3 - 2. Let b be z(4). Let n(v) = -18*v + b*v + 7*v. Calculate n(t(d)).\nAnswer: 23*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 + 4?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*x**3 + 30*x**3 + 26*x**3.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**2 - 16*p. Calculate the smallest common multiple of 10 and m(-7).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18929*r - 680187 + 141781 = 614401 - 35996 for r.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 1 = 5. Let y be 5\/m*24\/20. List the prime factors of (-27)\/y*(-8)\/6.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 3*i**2 - 6. Let d(a) = -2*a**3 + 5*a**2 + 13. What is -4*d(k) - 7*p(k)?\nAnswer: k**3 + k**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 549909.089 rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*m - 90*m + 300*m - 45*m.\nAnswer: 54*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 71 (c) 0.03 (d) -0.3 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -17*j**3 - 209*j**2 - 59*j + 15. Let o be q(-12). Suppose -3*a + 8*a - 10 = 0. Solve -o*d = g + 3, 11 = -d + a*g + g for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5382765 and 945.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 6*h**2 - 4*h + 7. Let p(i) = -4*i. Let d be p(-1). Suppose -j + 16 = -3*w, 12 = w - d*w - 3*j. What is o(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 30 = 5*o, -38*o + 34*o + 24 = 2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3285652176?\nAnswer: 2, 3, 22817029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 176803.11.\nAnswer: -176803.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4336019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4541522 (base 6) to base 16\nAnswer: 386ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 597 is divided by (-1 - 0) + 43581\/365 + (-7)\/5?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11844099?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*c, -3*b - 3*c = -0*c - 81. Suppose -b = -2*l - 22. Suppose -a - l*a + 13422 = 0. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267 a factor of 132143373?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-5)\/((n\/(n*n**(-2)))\/n)*((n**0\/n*n)\/n)**50 assuming n is positive.\nAnswer: n**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that o**3\/5 - 783738*o**2\/5 - 3134964*o\/5 - 3134968\/5 = 0.\nAnswer: -2, 783742","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b = -t + 13*b + 9175, 5*t - 5*b = 45890. Round t to the nearest one hundred.\nAnswer: 9200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m - 1. Let j(o) = 0 - 2 + 4 - 1 - 3*o. Let l(n) = 2*d(n) - j(n). Calculate l(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2213 is divided by 549?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1339884 and 3627?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c - 54 - 18 = 0. Let b be c + 0 - (-94)\/(-16). Let 1\/2*r**4 + 0*r**2 + 0 + 1\/2*r**3 + 0*r + b*r**5 = 0. What is r?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 9) to base 12\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 56*-0.3514\nAnswer: -19.6784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 934 (base 10) to base 5\nAnswer: 12214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1400)\/6000 + (-1)\/(-10)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 728884643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 36*v + 101. Determine z(-5).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 178778575?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 82*d*y**4 - 1605*d*y**3 + 225*d*y**2 + 2*d - 6*y**4 + 2*y**2 + 3335*y wrt y?\nAnswer: 1968*d*y - 9630*d - 144*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.034 (b) -3\/2 (c) -1 (d) 1 (e) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 2*t + k + 387, 0 = 5*t + 4*k - 987. Let d = -34 - -24. Is ((-12)\/9)\/(d\/t) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 909*l - 98238. Determine d(108).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 26082784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*d = -7, -5*d - 11 = m - 3*m. Suppose -3*n - 4*y = -m, 4*n - 75 = -n + 4*y. Calculate the remainder when 10 - 13 - (-38 + 3) is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 591 and 41391473.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3\/62012 + 33734825\/6139188. Let c = h + -58\/11. Which is smaller: c or 6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15276103 divided by -59.\nAnswer: 258917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + 15. Let j = -23 + s. Let h be 4\/(-10) + 17\/5. What is the greatest common factor of h and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 + -19. Let r be (q\/8 - 0)\/((-1)\/82). Let d = 314 + r. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1143 is divided by 171?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 6*u**2 - 2*u - 12. Let w be (-128)\/22 - 14\/77. Let f be n(w). Solve x = -m, -5*x + 3*x + 3*m - 15 = f for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 988658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, j: 2, i: 3, w: 8, n: 5}. What is prob of picking 1 h, 1 w, and 1 j?\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 217, 439, 659, 877, 1093, 1307?\n\"Answer: -k**2 + 225*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 5*f**2 - 10*f + 26. Is 2 a factor of r(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1239 + 1245. Solve j + 4 = 5*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**3 - 23*o**2 - 8*o + 38. Let v be t(-11). Solve p + 4 = v*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/2261520 and 31\/27222.\nAnswer: 29399760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17808859 to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - y - 1. Suppose 4*r - 3*c - 29 = 0, 0 = -2*r - 2*c - 0*c + 4. Suppose 3*t = -x + 2*x + 16, -2*t + 3*x + 6 = 0. Let d = r - t. Determine u(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*u**3 + 27*u**3 - 52*u**3.\nAnswer: -50*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gh when two letters picked without replacement from {h: 2, g: 2, i: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -t**4\/6 + 3*t. Let q(m) be the first derivative of 0*m + 1 + 0*m**2 + 2\/3*m**3. What is q(s(f))?\nAnswer: 8*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, 2, 1, -15 in increasing order.\nAnswer: -15, 1, 2, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -5*k**2\/2 - 616. Let m(r) = r**2. Calculate l(m(n)).\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 4*h**4\/7 - 19416*h**3\/7 + 23561316*h**2\/7 = 0.\nAnswer: 0, 2427","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 37427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7914945736 less than -70?\nAnswer: -68.2085054264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 12. Solve 4*n - 1 = r for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (-14 + 7)) + -74 + (-1 - -10) + -6?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33542 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xiiaixxiakakkixk. Give prob of picking 2 k and 1 i.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6 + 3 + 306\/(-21)*(-88)\/176. Determine f, given that -9 - 3\/7*f**2 + q*f = 0.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -590.09843 rounded to 1 decimal place?\nAnswer: -590.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of 1509*u**5\/2 + 7*u**4\/4 - 72*u**2 - 12*u - 487. Find the third derivative of q(d) wrt d.\nAnswer: 90540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 5*d = -3 - 7, 2*g - 2 = 4*d. Calculate the remainder when 23 is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 153 and 1258?\nAnswer: 11322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/2 and -4 + (-644)\/(-66) - -2 - 7.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -5. Let y be 0\/i*4\/(-4). Solve 4*n - 20 = -y*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 3.912?\nAnswer: 0.3912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 792332.1l in millilitres?\nAnswer: 792332100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, -0.5, 4, -8\/2945, 0 in decreasing order.\nAnswer: 4, 0.06, 0, -8\/2945, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2243, 2132, 1941, 1664, 1295, 828, 257, -424?\n\"Answer: -b**3 - 34*b**2 - 2*b + 2280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 788\/9725 - 2\/1945. What is the smallest value in o, -1, 0, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -54 + 70. What is the remainder when 29 is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -3446.\nAnswer: -3\/3446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 k when two letters picked without replacement from kokokkookkooo?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269 = -10*q + 361. Let a be 9\/q*21\/3. Sort a, 0, 5.\nAnswer: 0, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -17*k + 205. Let j be 378\/105*3*10\/9. Let c be y(j). Solve -3*h + 2*h = -c for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19939041 to the power of 1\/4, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02203 to 3 dps.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 12*v**2 + 3*v - 24. Let u be o(12). Solve -4*c = -u*c - 32 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46 - 61. Let o(r) = -r - 19. Let i be o(k). Does -7 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 302012 is divided by 156?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1563, 1604, 1681, 1812, 2015, 2308, 2709, 3236?\nAnswer: 3907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*n - 7. Suppose 4*z - 3*z = 2. Let y be 12*1\/2*z. Solve 5*g - 3*x = y, 2*x - 3*x = g + n for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3180 - 71 = 131*p - 850 - 5866 for p.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 73827147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 3*f = 15. Let m = -71.8 + 74.8. Let p be 4 - (-104)\/196*-7. What is the smallest value in m, p, f, 2\/9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -54 + -49. Let t = s + 127. Solve 4*q + t = 4 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5351230 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 30 = -2*l - l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -61986796 >= -61986792?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 785*p**3 - p**2 - 4176 wrt p?\nAnswer: 2355*p**2 - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iicccc. What is prob of sequence iic?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 6*c + 1. Suppose 7*y = 6*y. Suppose y = -3*n + 4*n - 3. Suppose -i + 1 = -4*j, 0*j - 4*i = n*j + 15. Determine o(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 410*w**3 + 2*w**2 - 7*w + 6. Let u be a(2). Calculate the highest common factor of u and 2665.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4195 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/51 - -11\/17. Let h(q) be the first derivative of 0*q**2 - p*q**3 + 0*q - 4. Let t(l) = 6*l**2. Give h(t(k)).\nAnswer: -72*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -28*g**4 - 48*g**3 + 44*g**2 + 48*g - 16 = 0.\nAnswer: -2, -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 9*b**2 + 17*b + 1. Calculate w(8).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 252*b - 58*b - 62*b - 74*b - 56*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282*o + 129*o = 218*o + 4056 + 5787 for o.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14776497 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2465, 4926, 7387, 9848, 12309?\nAnswer: 14770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 927065*o**2 + 926628*o**2 - 1853720*o**2.\nAnswer: -27*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2159\/2478 + -9\/59. Let y = -13\/20 + 1291\/540. Find the common denominator of y and k.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -496 by -6.\nAnswer: 248\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10\/(-15))\/((-2)\/57). Calculate the remainder when 56 is divided by g*(-1 + 5 + -3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116706416.\nAnswer: 2, 23, 103, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*i + 5*i + 8*i)*(i**3 + 2*i**3 - 5*i**3).\nAnswer: -52*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**4 - 2*h + 2*h)*(-147 + 6645*h - 66 - 6646*h).\nAnswer: h**5 + 213*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.6 - -0.6. Let t be 15\/6*(-12)\/(-50). Let k = 0.11 - 5.11. Sort k, l, t.\nAnswer: k, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 10 = 0, -2*j = 4*g - 29 + 11. Let z(m) = -m + 4. Let i be z(3). Let t be i + (2 - 1 - 1). Sort 0, g, t in descending order.\nAnswer: g, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*p**4 + 618*p**2 - 513*p wrt p?\nAnswer: -24*p**2 + 1236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*g + 14 = -39*g - 2*p, 5*g = -5*p + 40. Let x(y) be the first derivative of g + 9\/2*y**2 + 0*y. Let z(b) = -b**2. Determine z(x(v)).\nAnswer: -81*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*o - 9*o - 2*y - 7 = 20*o, 0 = 3*y - 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8330, -8327, -8322, -8315, -8306, -8295, -8282?\n\"Answer: h**2 - 8331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (6*(sqrt(288)*-1 + sqrt(288))**2 - (-2 + sqrt(288) + (sqrt(288) + -1)**2))*-1 + 3 + -3.\nAnswer: -12*sqrt(2) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 216 in 0, 5\/3, 1, -3, -1.6, -18?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 5*b**3 - 8*b**2 + 6*b + 19. Let t(p) = p**3 + 1. Let i(x) = l(x) - 4*t(x). Let o be i(7). Let s(q) = -q**2 + 5*q + 11. Determine s(o).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 20.208 and 7422.\nAnswer: 7442.208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + 15 - (1 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 + 0. Let k = 0.2 + v. Let i = k - -0.3. What is the third smallest value in i, -2\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000010110 - 10001?\nAnswer: -1000100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 6.6066 (c) -2 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-4*6\/120)\/1\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10073*a**4 + 5*a**2*n + 20*a**2 - 21*a*n + 89*a - 10*n + 13 wrt a.\nAnswer: 120876*a**2 + 10*n + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*k - 28*k**3 + 7*k + 2 - 13*k + k**2 in the form j + u*k**2 + r*k + f*k**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**2 - 17*v - 16. Let o be u(-8). Let i be 0\/(9\/(-4) + 6\/o). Let j(s) = -s**2 + s - 2. What is j(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45868 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -73b1 + -28d6?\nAnswer: -9c97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 45119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (12 - 11 - -16) + -12*(-63)\/84\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 28 + 404*y + 10*y**2 - 11 - 8*y**2 - 15 as w + c*y + d*y**2 and give c.\nAnswer: 404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -v. Suppose 0*y + 3*y - 15 = v. Differentiate 0*j**4 - y + 3 + j**4 wrt j.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by -61857.\nAnswer: 19\/61857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13559 - 8663. Is b a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, a: 3}. What is prob of sequence daaa?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 1:15 PM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1136835092\/1545 + 735816. Let n = u - 2\/309. Factor 4\/5*z + n + 2\/5*z**2.\nAnswer: 2*(z + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -962.58 - 6939.82. What is j rounded to the nearest 100?\nAnswer: -7900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.948 + 9. Let a = j + -0.118. Let o = a + 0.165. Round o to two dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2785 at least as big as 554282\/199?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4*q + 3)*(4*q - q - 2*q + 2*q - 3*q + 3*q + (3 + 2 - 4)*(-q + 0 + 0))*(-2*q**3 + 5*q**3 + 0*q**3).\nAnswer: -24*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p + 2 + 12 = 0. Sort 4, -9, p, 5 in descending order.\nAnswer: 5, 4, p, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)*1)\/sqrt(3))\/sqrt(8)*-4 + (sqrt(3) + (sqrt(3) + sqrt(36)\/(-5*sqrt(12)) - sqrt(3)) - (sqrt(75) + sqrt(75) + -2))**2.\nAnswer: -204*sqrt(3)\/5 + 6448\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -31*h**3 - 9*h**2 + 4*h - 1. Let z(f) = -67*f**3 - 18*f**2 + 9*f - 1. Give 13*m(c) - 6*z(c).\nAnswer: -c**3 - 9*c**2 - 2*c - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34.51 - -34.6731. Round h to 3 dps.\nAnswer: 0.163","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210758 divided by -50?\nAnswer: -105379\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 21079 a multiple of 266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -8. Let x(c) = -c**3 - c**2 + 2*c + 3. Let t be x(-2). Suppose -m*y + t = -y. What is the remainder when 1 is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -j**5 - 152*j**4 + 3966*j**3 - 10348*j**2 - 3965*j + 10500 = 0.\nAnswer: -175, -1, 1, 3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 314 - -36?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-20)*4\/12*(-148)\/740.\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.7972 to 1 decimal place.\nAnswer: -5.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -3*j**5\/20 + 13*j**4\/30 - 13*j**3\/30 + j**2\/5 + 21*j. Let n(g) = 0. What is g?\nAnswer: 1\/3, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 53 + -50. Solve 8*q = i*q - 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/7 + 32*v\/7 - 120\/7.\nAnswer: -2*(v - 10)*(v - 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -136*x**2 + 0*x**3 - 121*x**2 - x**3 + 112*x**4 + 149*x**4 + 259*x**2 to r + k*x**2 + g*x + t*x**4 + d*x**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 - 6 + 4)*(0 - 5 + 2) + 2 - 2 + 1)*(-1 + 0*f**2 - 2*f**2 + f**2) to the form n*f + s + g*f**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r**3 + 4*r**3 + 2*r**3 - 1 - 2*r**3 + 1 + (3 - r - 3)*(6*r - 6*r - 6*r**2) to k*r**3 + o*r + h + x*r**2 and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 336 a factor of 24248975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/15*(-10)\/4. Let r = z - -2. What is the derivative of 5 - 2 + j - 2*j + r wrt j?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -270, 4 in decreasing order.\nAnswer: 5, 4, -270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6807, -6223, -5649, -5085, -4531, -3987?\n\"Answer: -5*f**2 + 599*f - 7401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -94, -340, -596, -862?\n\"Answer: -5*x**2 - 231*x + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1481 divide 6948852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -8. Suppose -5 = 3*f + v*f, x - f + 2 = 0. Let i be (0\/(-2) - -1) + 0. Put -4, x, i in decreasing order.\nAnswer: i, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -89 - -104. Let j be (q + -12 + -1 + -4)*-2. Let m be (j - (-60)\/(-8))*32\/(-28). Calculate the greatest common divisor of m and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17ec (base 15) in base 4?\nAnswer: -1100310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 10*l = 4. Let o(n) = 21*n - 2. What are the prime factors of o(l)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/8 - 47\/(-4). Suppose 0 = l - 2 - 1. Suppose -2*c - l*c + 3*n = -j, -8 = -5*c + 2*n. Let s(r) = -r**3 - r**2 - r + 11. What is s(c)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4293 is divided by 813?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -5?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-5226)\/104)\/((-1)\/12). Suppose j = 5*j - g - l, 5*g = 25. List the prime factors of j.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 23108, 1, -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ghghhmhghhhmghhihhh. Give prob of picking 2 m.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 7*z - 6. Let v be 68\/11 - (-2)\/(-11). Suppose -5*h + x - v*x - 40 = 0, -5*h + 3*x = 40. What is the units digit of f(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3010 = 36*q - 466*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -74247 or -74265?\nAnswer: -74247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + s + 15. List the prime factors of h(-13).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144952 is divided by 200.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/4812 and 109\/30?\nAnswer: 24060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/(12\/3800))\/1. Suppose 155 = 5*w + 555. Calculate the common denominator of 21\/41 and h\/w - 6\/8.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-3))\/((-2)\/27). Let r be ((-2)\/(-6))\/(2\/k). Suppose 18 = 4*t + i, -2*t - r*i - i + 16 = 0. Let q(v) = -v**3 + 5*v**2 - 2*v - 3. What is q(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 547a (base 11) to base 4.\nAnswer: 1300322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13504 by 2.\nAnswer: -6752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -52279 or -52274?\nAnswer: -52274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3780?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - 2*w - 2. Let u(q) = q + 1. Let m(i) = p(i) + 2*u(i). Let h(z) = -6*z. Determine m(h(t)).\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 132172136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 119780440 a multiple of 1352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 42 = -10*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.18 - 177.82. Let c = p + 180.49. What is c rounded to 1 decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 9*s**2 + 7*s + 3. Suppose g = -328*l + 325*l - 27, -5*l - 2*g = 45. What is m(l)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2750 divided by -5.\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 679 is divided by 133?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f. Suppose 2*r = -4*i + 40, -5*i + 11 = -4. Let t(a) = -r + a - 3*a + 17. Let k(q) = -4*g(q) - t(q). Differentiate k(h) wrt h.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 5*r - 3. Let s(i) = i**2 + 8*i - 6. Let y be s(-9). Calculate k(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11\/17 - 10\/17. Suppose 5*b = 9 + 1. Let z = b - 1. Which is smaller: z or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/3056 and -127\/2604?\nAnswer: 1989456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - (56 - (-3 + 25))) + 2.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1082*t - 1993*t - 37034 = 882*t - 183443 for t.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -102c220?\nAnswer: 102c21d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - w**2 - w - 1. Let f be (0 - 2) + (-5 - -4). What is the units digit of v(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -u - 4. Let s(y) = -y**2. Let x be -1 - (-1 + 1 + -2). Calculate x*n(q) + s(q).\nAnswer: -q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2584 and 10013?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 23.3542 from 39258.\nAnswer: 39234.6458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i**4 - 4*i**4 + 2*i**4)*(-123 + 101 - 317)*(0 - 3 + 2) to the form y*i + l*i**4 + j + h*i**2 + b*i**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*y = -38*y + 20*y + 136 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8198.38kg to nanograms.\nAnswer: 8198380000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**3 - 57*l**2 - 27*l - 24. Let r be s(29). Solve r*h = 29*h - 15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.793873 rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3*r = 0. Suppose 5*l = -c - r*c - 17, -31 = -5*c + 4*l. Solve -5*k = c*i + 2 - 1, 3*i - 15 = 3*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20*(-7)\/294*(-21)\/12?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - 7*c + 5. Calculate w(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f. Calculate w(10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccccccc. Give prob of sequence cccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 29*u - 99 = 0. Is (-4 - u)*-384 + -2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**2 - 2*q**2 + 2*q**2 - 6*q**2 + 4*q**2 + q**2 - 6*q**2 + 2*q**2 + 2*q**2 + (-2*q + q + 2*q)*(-3*q - 4 + 4).\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/(n\/n**0))\/n**(1\/2))**(-1\/41))**(-3\/10))**(-18) assuming n is positive.\nAnswer: n**(27\/410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/679878 and 89\/482904.\nAnswer: 51670728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1536230?\nAnswer: 1536230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 40, 99, 168, 253, 360?\n\"Answer: d**3 - d**2 + 55*d - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k**2 - 84*k + 178. Let v be p(2). Sort -7, 0, v, 1, -4 in increasing order.\nAnswer: -7, -4, v, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1277 + 1786. Suppose -g + q = g + 3*l, -4*l - 20 = 0. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 o when two letters picked without replacement from oxodxxxudxqdqoux.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 2:02 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1715*x - 3425*x + 1712*x - 172*x**2 - 6*x**3 + 7*x**3 to g*x**2 + i*x + y*x**3 + v and give g.\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffse when four letters picked without replacement from {f: 1, s: 1, e: 12}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (112*q + 13*q**4 - 112*q)*(q - 4 + 4) + q**2 - 2*q**5 - q**2 - 3*q**4 - 2*q**5 + 3*q**4 + (q - 2*q + 2*q)*(-2*q**3 + 2*q**3 - q**4).\nAnswer: 8*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 3*k - 62 + 42, 7*k + w - 60 = 0 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 491094647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -727*h**2. Let u(z) be the third derivative of -z**4\/12 + 581*z**2. Give y(u(j)).\nAnswer: -2908*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 9:44 PM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238 is divided by 82?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -129*q**2 - 2*q - 2. Calculate o(-1).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4*k**2 - k - 19. Let s(m) = -2*m**2 + 9. What is -6*h(o) - 13*s(o)?\nAnswer: 2*o**2 + 6*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -165\/448 + -1716359\/2240. Let x = q + 767. Let -4\/5*v + 2\/5*v**3 + x*v**2 + 0 = 0. Calculate v.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.763 - -0.763. Which is the smallest value? (a) 9\/16 (b) -2 (c) t (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -9, 2.\nAnswer: -9, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -947.9238 to the nearest ten.\nAnswer: -950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 31*y = 33*y + 22, -4 = -2*s - 4*y. Let k(x) be the second derivative of -1\/4*x**s + 5*x**3 - 17*x + 0 - 75\/2*x**2. Let k(a) = 0. What is a?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 216 and 522024.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1907*v - 355143 + 113904 = -501*v + 1081*v for v.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.9 - 3.2. Let y = z - 4.7. Let u = y - -6.4. Which is the biggest value? (a) u (b) -2\/9 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1577 = -47*l + 1342 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (110 - 130 - 179)*(-q**4 + 3*q**4 - 5*q**4).\nAnswer: 597*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-20))\/(27\/(-48)*2).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**2 - 4*b**2 + 0*b**2 + (-3*b + 4*b + 2*b)*(-b + 5*b - 3*b) - 2*b**2 + 0*b**2 + 7*b**2.\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 277498 a multiple of 213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 440 and 260?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 8*c + 4. Let i be ((-7 - 0) + 8)*(0 - 0). Calculate the smallest common multiple of 14 and d(i).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.082 + -1.082. What is the closest to 1\/6 in r, 1, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wgwg when four letters picked without replacement from {g: 5, w: 9}.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/43 (b) 47 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**0)**33\/(h*h**1)**26 assuming h is positive.\nAnswer: h**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 0*d = 228. Let g = 69 - 149. Let i = g - d. List the prime factors of i.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/3 (b) -3 (c) -1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, g: 7, o: 3}. What is prob of sequence go?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3501 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -13*q - 2. Calculate the remainder when f(-3) is divided by (-39)\/(-2)*((-48)\/9 - -6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = -10*r + 3. Find the third derivative of 23*m**2 + r*m**3 + 1188*m**4 - 3*m**3 - 1156*m**4 wrt m.\nAnswer: 768*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29531924?\nAnswer: 2, 17, 434293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.4695 - 4.7944. Let x = -0.81 - 1.5. Let u = x - w. Round u to 3 dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/15)\/((-6)\/30)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**4*o*o**(-5))\/(o**(-6)*o**(-2)*o) assuming o is positive.\nAnswer: o**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1801200 divided by -45030.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 4315184.58 to the nearest 10000.\nAnswer: 4320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 38\/4 - ((-22)\/4 - -6). Let x(p) = -2*p**2 + 19*p - 18. Let w be x(z). Let m(h) = h**3 + 9*h**2 - h + 3. What is m(w)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 11 - (-8 + 2 + 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 106 - 6. Let s be ((-8)\/(-5))\/((-4)\/k). Find the first derivative of -s*n**2 + 8 + 0*n**2 + 5*n**4 + 8*n**2 wrt n.\nAnswer: 20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 4*o**3\/9 + 28*o**2\/9 + 40*o\/9 = 0.\nAnswer: -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10.8 - -10. Let v = -1 - k. Let y = 0 + v. Which is the smallest value? (a) 0 (b) y (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -4 + -20 + 200 + -113.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4.27807 in 3, -2.1, -1\/4?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-2)\/(-4) + (-14 - -13))*(-21 - -1) and 101?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3560.06 + 3560. Put -6, 0.5, 1, i in increasing order.\nAnswer: -6, i, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -x**5\/15 - 3*x**2. Let g(t) = -3 - t + 13 - 10. Determine g(o(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 r when three letters picked without replacement from ddrdddrddrrdrdddrrd.\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 107429 and 447.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1109 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: Let x(y) = 7*y**2 - 3*y - 307. Is x(-17) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1392349936 and 0.0676967.\nAnswer: -1392349935.9323033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 360 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, i: 13, u: 3}. Give prob of picking 1 j and 1 u.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5821 + 6020. What is the least common multiple of d and 2?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 90058, 90972, 92498, 94636, 97386, 100748?\nAnswer: 104722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -263, -546, -829, -1112, -1395, -1678?\nAnswer: -1961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - d - x = 4, -6 = -4*d + 2*x for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 74103, 148207, 222311, 296415?\n\"Answer: 74104*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 3*t - 4*n, -t + n + 10 = -0*n. Suppose -2*d + t*u = 11, 4*d - 3*u = -u + 2. Let r = 35\/2 + -16. Is r at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2677*v - 2674*v + 42 = -3*r, -5*v + 18 = -3*r for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*4\/80 - 2\/10?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16.8 + 2.2. Let g = 19.325 - t. Let y = 0.26 - g. Round y to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1 (b) 2\/11 (c) 3\/4 (d) -45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 16*n**2 - 37*n + 15. Let o be m(18). Put 4, o, -15 in decreasing order.\nAnswer: 4, o, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -111 + 1383.3.\nAnswer: 1272.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 0, -3*b + x + 0*x + 9 = 0. Let l = b - 9. Is 12 a factor of l + 2 + 2*35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3523, -3526, -3529, -3532, -3535?\nAnswer: -3538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 4*i**2 + 5*i - 3. Let j be v(3). Suppose 0 = 4*u - u + j*n - 15, 5*u + 7 = 3*n. Solve -5*w - u = 4*s + 8, w + 13 = 2*s for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-195)\/(-3) - (4 + (-1 - 1)). Let q = p - 58. Sort q, 4, -2, 2 in descending order.\nAnswer: q, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158133491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -12*a**2 + a - 4. Let y be b(6). Let m be 7 + -6 - y\/25. Is m < 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 - 9*y + 31. What is the remainder when w(-9) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -40*r - 22. Let d(y) = 20*y + 9. Determine 5*d(t) + 2*o(t).\nAnswer: 20*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -18*k - 82. Let r be b(-5). Suppose -r*a - 59 + 83 = 0. Solve m - 4*g = 3, 2*m + a*m = 5*g - 15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 + 0*u**2 - u**2)*(123*u**3 - 89*u**3 - 80*u**3).\nAnswer: 46*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -143674960 by 176.\nAnswer: -816335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19228176 and 869616.\nAnswer: 173053584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3041768?\nAnswer: 2, 523, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 10:15 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 376 and 88219.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 4*h = -4 - 13, 3*h = l + 18 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12374411*a**2*b**2 - 47*a*b**2 - 15524*a wrt a?\nAnswer: 24748822*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 2*m - 1, -3*m = x + 3*x. Let r be 2\/(-8) - (91\/(-28) - x). Is 22 a factor of 3*31*(r + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 8*o + 1 = 0. Let n(j) = -59*j + 2. Let d be n(5). Is (-3 - -3)*o - d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1141 - -1143. Suppose -6*d = -7*d + 201. Suppose 0*t + t = -3*g + 303, -2*g - t + d = 0. What is the least common multiple of p and g?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 7:47 AM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-210)\/(-24))\/5 - 2.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*5*-3*(-1)\/3. What is the second derivative of -6*f**2 - 3 + n*f**4 - 5 + 0 + 2*f + 8*f**2 wrt f?\nAnswer: 60*f**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -2\/27, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3501049 greater than or equal to -0.16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in 4, 0.05, 0.5, -3\/2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 - 49 = 4*f. Let b(w) = -11*w - 2. Let x be b(-1). Let a(s) = 11*s**3 + 4*s + 4. Let n(p) = 5*p**3 + 2*p + 2. Determine f*a(k) + x*n(k).\nAnswer: k**3 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 907 in -5, -0.2, 2\/481?\nAnswer: 2\/481","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and -9508171?\nAnswer: 9508171.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13937 and 29141.\nAnswer: 1267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.8 and 0.058?\nAnswer: 0.0464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -1091*z**8\/336 + 14*z**5\/15 + z**4\/8 - 299*z**2 - 2. Find the third derivative of y(r) wrt r.\nAnswer: -65460*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 to the power of 1\/2, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 171\/(-30) - 18\/60 - -16. Solve -5*v + 6 = 2*a, 7*v + p = 12*v for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76858581 is divided by 66.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of d**3\/6 + 8*d**2 + 3*d. Let s be a(-11). Suppose -s*i - 9 = -6*i. Is i a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/8)\/1 - (-22)\/28. Which is smaller: i or 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1741080 to the nearest 10000.\nAnswer: 1740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 136453?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27523 and 32368667?\nAnswer: 1619","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 22707*r**2\/7 - 1044*r\/7 + 12\/7 = 0?\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 14 = 4*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/3 + 9069890*b\/3 - 9069893.\nAnswer: (b - 3)*(b + 9069893)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -97 + 97. Let o(z) be the second derivative of -1\/18*z**4 + p*z**2 + 0 + 1\/45*z**6 + 2*z - 1\/30*z**5 + 1\/9*z**3. Determine y, given that o(y) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - -0.2092108\nAnswer: 0.3092108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43 + 27. Calculate the common denominator of 95\/6 and ((540\/o)\/5)\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - g**2 - 2. Let t be f(2). Solve -t*q - 6 = -2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}