diff --git "a/data/dm_maths/full_data_2/1919_11255.jsonl" "b/data/dm_maths/full_data_2/1919_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1919_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: -6 * -46.778\nAnswer: 280.668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -l + 21856, -3*l - 3*p + 27736 = -37886. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*(23\/(-6) - -4). What is the nearest to 2\/7 in v, -0.2, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of -11*p**2\/2 - p + 2005. Let c(y) = y + 1. Determine -a(b) - 4*c(b).\nAnswer: 7*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21300 - -103020133?\nAnswer: 102332233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/(-539))\/((-3)\/(-21)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/12 and 35\/(-3)*1\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of d**4\/2 - 5*d**2\/2 - 2*d + 2. Let z = -5 + -1. Let a be -3 - z - 1 - 8. Let k(c) = -c**3 + 2*c + 1. What is a*v(u) - 14*k(u)?\nAnswer: 2*u**3 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -80 + -6. Let q = 163669296 + -163669382.0000188. Let d = q - b. Round d to 6 dps.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2214*h + 2035*h + 327*h - 701*h.\nAnswer: 3875*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 724, 4, 1 in increasing order.\nAnswer: -4, 1, 4, 724","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2877*c + 2882*c + s + 1 = 0, 2*s = -5*c + 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6069, 6065, 6059, 6051, 6041?\n\"Answer: -r**2 - r + 6071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -343 + 2140?\nAnswer: 1353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.3 - 4.3. Which is the closest to -6? (a) s (b) 18 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -2*t - 8, 4*p - 3 - 10 = 5*t. Let m(i) = i**2 - 2*i. Let g be m(p). Suppose g*z - z - 80000 = 0. Round z to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 11 - 6 - 6544*g + 7107*g.\nAnswer: 563*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -43564, -43283, -43002, -42721, -42440?\n\"Answer: 281*z - 43845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -35 - 904bb?\nAnswer: -90523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-31)*d)\/((d\/d**(10\/3))\/d*d)*d**(-25)\/d**(-17) assuming d is positive.\nAnswer: d**(-107\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20012424 to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 293290 divided by -5?\nAnswer: -58658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 1) + 10 - 0 - 18\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 815 and 974395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + (1\/1 - 1). Solve -4*c - d*x + 24 = x, -4*c + 20 = 4*x for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 441815\/7638 - 14\/1273. Let z = -58 + x. What is the third smallest value in z, -1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 2 (c) 900 (d) -0.3 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1294 + -286. Let x be s\/20 - 2\/5. Calculate the greatest common divisor of 75 and x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*g**3 - 11*g**2 - 58*g + 6*g**3 + 5*g**2 + 10*g**3 + 5*g**2 in the form p*g + v + a*g**2 + s*g**3 and give p.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14 - 3*c**2 - 20*c + 2*c**2 - 86.\nAnswer: -(c + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 + 0.6. Let r be (7\/21)\/((-5)\/9). Put r, f, 1 in descending order.\nAnswer: 1, f, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 396194 divided by 28?\nAnswer: 198097\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + l - 2. Let y = -25 + 21. Let k be z(y). Solve 0 = w + 4*w + k for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -8, -19, -6653.\nAnswer: -6653, -19, -8, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.27? (a) -5 (b) 1.392 (c) 2\/9 (d) -0.0466\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from erhbbpj?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19801 - 19801.06. What is the closest to 7 in s, -1, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*t + 5*t - 31*t - 16*t)*(-3*t**2 + 4*t**2 - 2*t**2).\nAnswer: 58*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r - 3*r - 259*r**2 + 3*r - 2*r.\nAnswer: -259*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -28705, -57412, -86119?\n\"Answer: -28707*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1613.24 rounded to 0 dps?\nAnswer: -1613","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 30438044687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -354*f - 588539 = -357*f + u, -5*u - 392355 = -2*f. Round f to the nearest ten thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**12*g*g*g**(-7))**36)**(-31) assuming g is positive.\nAnswer: g**(-8928)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3956497*g**3 - 1392800 with respect to g.\nAnswer: -11869491*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -51?\nAnswer: 25.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = -7*i - 5*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 3 - (0 + -2). Let n be s\/(-14) - 144\/(-63). Solve -w + 8 = -n*u - 3, -3*w + 13 = -u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-6) - (-5)\/15. Calculate the remainder when 4 - 5 - (t + -1) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -80*m - 3. Let s be t(-2). Let i(w) = -110*w. Let d be i(1). Let q = d + s. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/(147\/(-14)))\/(-1*7)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 661 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -85, -203, -373, -601, -893, -1255, -1693?\n\"Answer: -f**3 - 20*f**2 - 51*f - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 5*g**2 - 2*g - 2. Calculate the remainder when 31 is divided by w(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 12) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23167559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 848?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 161\/570 and -117\/1900?\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 2*u + 37 - 41)*(95*u - 89*u + 165*u).\nAnswer: 342*u**2 - 684*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 4. Let n(w) be the second derivative of -1\/6*w**3 + 1\/12*w**4 + w + 0*w**2 + 0. Calculate n(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 942, 1695, 2448, 3201, 3954?\n\"Answer: 753*t + 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 24 = -2*o, 4*o = 4 + 12. Suppose -3*r = -s*r + 3. Suppose r*b + 16 = -5*i + 41, -3*i = -3*b + 9. Solve 3*n - b*f - 22 = 8, -5 = 2*n + 5*f for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1238 or 342?\nAnswer: 342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/2860 and -83\/517088?\nAnswer: 2585440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -12 - (-31 + (18 - 3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003306609034 rounded to 7 dps?\nAnswer: -0.0003307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*v**2 + 0*v - 3*v + 3*v - 2.\nAnswer: -29*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.417447 kilograms to tonnes.\nAnswer: 0.002417447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 + 26. Let p = r + -56. What is the greatest common factor of 2 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 111.46 - 111.33. What is the closest to r in -3, 0.21, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 + w + 1. Let x(s) = -75*s**2 + 4*s + 1. Let l(m) = 2*r(m) - x(m). Is 24 a factor of l(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2699866 divided by 5.\nAnswer: 2699866\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -334, -667, -994, -1315, -1630, -1939?\nAnswer: -2242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16149 and 2662737?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**2 - 2*v + 2. Suppose -3*n = -0*n - 6. Let m = -11 - -17. Calculate the least common multiple of q(n) and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 162614 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2733 - 1435. Is 38 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -6002\nAnswer: 3\/6002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-3 + (sqrt(98) - sqrt(98)*1)*5 - ((sqrt(98) + -1)*-6 + 2)) + 4)**2.\nAnswer: -840*sqrt(2) + 3628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 77885760?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 5*z. Let a be o(-2). Let m = 28 + a. Suppose -4*r = 12, r + m = 5*s - 0*r. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 2*v**4 - 100576*v**3 + 42381844*v**2 + 85065424*v + 42583002 = 0.\nAnswer: -1, 427, 49863","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 3 = o, -5 = -3*o - 2*l + 4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 6*x**2 + 10*x + 16. Let c be n(-7). Suppose 4*q = 6*q - 8. Sort -2, q, c.\nAnswer: c, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 305 = 4*r + r. Let b = r - 33. Is 18 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.128 plus 757381224?\nAnswer: 757381223.872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 + -3d?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -7. Let l be (i\/18)\/(10\/(-75)). Is l not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*z + z**4 + 1\/2*z**2 + 0 + 5\/4*z**3 + 1\/4*z**5.\nAnswer: z**2*(z + 1)**2*(z + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28369157 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: 2, m: 5}. Give prob of sequence mmww.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 46 = -4*j + 2*j, k - 4*j - 20 = 0. Solve -3*b + 7*b - k = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2 rounded to zero dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**5\/7 + 702*o**4\/7 + 920*o**3 + 14376*o**2\/7 + 8640*o\/7 = 0. What is o?\nAnswer: -6, -2, -1, 0, 360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(1\/4))**(-38)*(x\/(x**(-2\/9)*x))\/((x\/(x\/(x\/(x\/(x\/x**(-4)))*x)))\/x) assuming x is positive.\nAnswer: x**(-941\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one half of a millimeter?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeejeeeeeeeqzeemzeqe. What is prob of sequence jee?\nAnswer: 91\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.69110775 less than -39330?\nAnswer: -39330.69110775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2000 - 13300020?\nAnswer: -13232020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-1 - -2 - 0). Let m be (-6)\/4*72\/27. Sort t, -5, m in increasing order.\nAnswer: -5, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1017157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 1943. Is 57 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -6 (b) 364.7 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 81303512*c**5*d - c**3*d + c**2*d - 73*c**2 - 6*c*d - 4*c + 16*d + 2 wrt c?\nAnswer: 4878210720*c**2*d - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -l**4 + 738*l**3 + 188*l**2 + l - 6.\nAnswer: -24*l + 4428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 f when two letters picked without replacement from ipfphijjijr?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 710.45 bigger than 82?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ctct when four letters picked without replacement from tctccc.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.02422 - 0.14684. Round y to three decimal places.\nAnswer: -0.123","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 1206.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 36 (base 14) to base 7\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2\/3 (b) 50 (c) -130 (d) -2 (e) 1\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/15)\/(g**1*g)*(g*g**8)\/g**(1\/14)*(g\/((g**6*g)\/g))\/g*g**(-7)*g*(g*g*g**(2\/3)*g*g*g)**30 assuming g is positive.\nAnswer: g**(34663\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**2 - 44 - 508*k + 885*k - 41 + 85 - 377*k.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/9)\/(1\/(-6)). Let m(l) = 13*l**2 - l. Let c be m(1). Solve -5*q - c = -i for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7452 or -1?\nAnswer: 7452","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*o + 0*o - 7*o)*(-4 - o + 1 - 4).\nAnswer: o**2 + 7*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 73*b - 75*b + m + 3, 0 = -5*b + 4*m + 27 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bycu when four letters picked without replacement from {p: 6, u: 4, y: 3, e: 1, c: 4, b: 1}.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(2\/48 - 11\/(-33)). Suppose -w*j = -11*j - 5. Calculate the remainder when (-105)\/3*j*-1 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 51 = 5. Suppose 3*o = 7*o - y. Suppose -26*f = -34*f + 40. Which is greater: f or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 354 - 4*z**3 + 5*z - 3*z + 2*z - 352. What is r(-2)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -66 (b) -0.5 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 537 + -534. Let j = -155 - -361. Suppose -3*v + 659 = 5*a, p*v = -2*a + j + 54. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -16182*s + 80919. What is q(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/31 (b) -12 (c) -0.0549\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 400 a factor of 3442727213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 9*f + 5*f - 4, 4*p - 22 = 3*f. Let x = 1\/12 + -3\/4. Which is the nearest to 2\/7? (a) x (b) p (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 2*u + 7*u)*(-6 + 3 + 4) + (5 - 4 + 2)*(-7*u + u + 7*u) - 2 - 2*u + 2.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -5. Suppose -5*i + 5*b = 5, -4*i - 4*b - 19 - 9 = h. Put 3, -5, i in decreasing order.\nAnswer: 3, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/7 in -5\/2, 5, 0, -269, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -43*p + 420. Give y(10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.19 + -0.272. Let q = g + -24.918. Which is greater: -0.1 or q?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29295 and 756?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, y: 6, b: 5}. Give prob of sequence bwb.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/((j*j*j**(-7)*j)\/j))\/j)\/((j*j**45)\/j))**(-46))**(-4\/9) assuming j is positive.\nAnswer: j**(-7360\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -440, -452, -464, -476?\nAnswer: -488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1699 and 6?\nAnswer: 10194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -4*f - 2*f. Is 2 a factor of f*(-3 - -5 - 1) + 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-160)\/(-27 - -47) + 62\/6. What is y in -4\/3*y**2 - 1 - d*y = 0?\nAnswer: -1, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 654 and 658 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -211411 + -11343?\nAnswer: -223304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2533*z**2 - 2 + 0 - 2229*z**2 - z**3 to n*z + r*z**2 + t*z**3 + f and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.13*-158.\nAnswer: -20.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 314313 + -114?\nAnswer: 314144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 + -70 - 100 - -33 - (6 - -1)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -230 - 463616?\nAnswer: -464146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10921*k**3 - 2277*k**3 - 3*k + 3*k.\nAnswer: 8644*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -111\/2 - -158\/3. Let k = -137\/42 - i. Sort -0.1, k, -1 in descending order.\nAnswer: -0.1, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.08 + 0.04. Let j = f - -0.039995. Round j to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(33\/6 - (4 - 0)). Suppose -1483 = -5*w - t, 7*w - 3*t - 1491 = f*w. What is the greatest common divisor of 33 and w?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 2:42 PM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -8*q**3 + q**2 + 1. Let z be k(-1). Suppose -58 + 8 = z*d. Let p be (20*d)\/(22\/(-341)). Round p to the nearest one hundred.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 15 = -3*p. Let w be 3\/(-1) - p*(196 - 3). What is the units digit of ((-5)\/10)\/((-2)\/w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (46 - -9) + -27 - 4?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1204 (b) -4\/5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = 77*v - 88*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - 15*z**2 - 8*z + 29. What is the remainder when l(-15) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/5 of a day?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l**3 - 29*l**2 + 71*l - 573. Give r(9).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 84761\/7590 - 1\/1265. Is t less than or equal to -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -2, 53293491 in ascending order.\nAnswer: -2, 4, 5, 53293491","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251819 is divided by 5587.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.059 in -0.359, 2\/5, 10, 1\/3?\nAnswer: -0.359","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w - 9. Let m(r) = -2*r + 17. Let d(j) = -6*m(j) - 11*v(j). Let k = -8 + 13. Let s be d(k). Which is smaller: s or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(180) + -5*sqrt(180)*-4)**2 + sqrt(180) + ((2 + sqrt(180))*-2 - 4*(sqrt(180)*1)**2).\nAnswer: -6*sqrt(5) + 78654","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(1\/17))\/p*p\/(((p*(p\/(p\/(p**(-8\/3)\/p)))\/p*p)\/p)\/p*p)*p\/p**(-3)*(p**(3\/8)\/p*p)\/p*p assuming p is positive.\nAnswer: p**(3713\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -227626440+0.4\nAnswer: -227626439.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 17477331 (base 8) in base 12?\nAnswer: 1456249","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gngppnnbpnngn. Give prob of sequence ggp.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1339? (a) -2 (b) 4 (c) 0.03 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y + 7. Suppose 0 = -3*b - 5 - 7. Let n = -1 + b. Give o(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 100\/(-2)*4*(-3)\/12. Let g(r) = 6 - 5*r**2 - h*r + 44*r - 4*r**2. Let t(c) = 8*c**2 + 5*c - 5. Determine -6*g(k) - 7*t(k).\nAnswer: -2*k**2 + k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 25 = -0. Let g be -12*(-2 - s\/(-3)). Calculate the remainder when ((-62)\/(-4))\/(2\/g) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -1. Let l be i\/((-2)\/4 - 0). Suppose l*v + 166 = 4*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 105 = -11*w + 6*w - 5*y, 126 = w + 5*y for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*g + 7. Suppose -3*y + 12 = i - 3*i, -g*y = i - 1. Find the third derivative of 4*x - 10*x + 6*x - 25*x**4 + 22*x**y wrt x.\nAnswer: -600*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2365 - 2201. Is f smaller than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-1))**(-22))**16\/((c*c*c\/(c*c**2))**(-4\/3)*c*c**(-8)*c**(1\/4)*c) assuming c is positive.\nAnswer: c**(23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - (-5 + -10)*(-1)\/3. What is the biggest value in 0.1, -1\/26, o, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*f*o**5 + 29470*f + 2*o**5 + 29*o**2 - 2*o wrt o?\nAnswer: 240*f*o**3 + 40*o**3 + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 - 163.1\nAnswer: -163.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 10323232230 (base 4) to base 3\nAnswer: 2102200222100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/7*-2)\/((-12)\/21)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of w**5\/60 - 11*w**4\/8 - 11*w**3\/3 + 57*w**2. Let h(a) = a**2 - 34*a - 25. Let y(v) = 6*h(v) - 5*t(v). Factor y(g).\nAnswer: (g - 40)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 + -0.2. Let p = -0.4 + a. Let x be 19\/2 + 603\/(-67). What is the nearest to 0 in 0.3, p, x?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 5:04 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -8520, 2 in decreasing order.\nAnswer: 5, 2, -8520","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 549. List the prime factors of g.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 8*k**2 - k + 2. Let l be w(1). Let r(d) = -17 + l*d**2 + 17. Let b(v) = 4*v. Let z(c) = 5*c. Let o(p) = -3*b(p) + 2*z(p). Determine r(o(j)).\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -99?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 42, 66, 96, 132, 174, 222, 276?\n\"Answer: 3*t**2 + 15*t + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106 - 82*t - 104 + 318 - 108.\nAnswer: -82*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -161246 and 0.4.\nAnswer: -161245.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - 24*m + 6. Let v be o(-22). Let p be ((-15)\/v*2)\/((-1)\/235). Let c = p - -95. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16078884 and 4044?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 16*g**2 - 35*g - 2. Let f be o(18). Solve n = 5*n + f for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, -1\/2, -4, 9, 2\/11?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k + 1. Let u be c(1). Let p(o) = -o**3 - 19*o**2 - 3*o - 54. Let g be p(-19). Solve g*q + u*q - 25 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from epepppppeepep.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-10))\/((-3)\/(-132)*-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -139*h**2*w**2 + 2*h**2*w - 102*h**2 - 232*h*w**2 - 1157*w**2 wrt h.\nAnswer: -278*w**2 + 4*w - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrr. What is prob of picking 3 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -5*f**3 - 76*f**2 - 15*f + 31. Calculate v(-15).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.556 * -0.05\nAnswer: 0.0278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m - 1 + 9 + 16, 0 = 4*s - 3*m - 10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -1 - (-1 + 5) - -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -84\/29?\nAnswer: -84\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 56836942 a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 45*s + 7. Calculate y(45).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 3:54 AM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/18 and -16\/243.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of j**8\/20160 + j**6\/80 - j**5\/10 - 6*j**2. Let t(v) be the third derivative of p(v). Let w = -502 + 502. What is t(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-841)\/(-5) - 48\/40. Suppose w = 3*u - 497, 3*w + b = u + 2*w. Is 5 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - l + 1)*(5*l**3 + 0*l**3 - 3*l**3) + 13686*l**4 - 853*l**4 + 46861 - 46861 in the form k*l**3 + z + a*l + d*l**2 + q*l**4 and give q.\nAnswer: 12831","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/7 (b) -3907\/7 (c) -1\/6 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 15 = 5*b, 1191*c - 1187*c = 5*b + 33. Factor -2\/13*p**3 - 30\/13*p**c + 32\/13*p + 0.\nAnswer: -2*p*(p - 1)*(p + 16)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -10.9 (b) 0.2 (c) 47710\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 1358\/(-140) - 5\/(-25))*-2?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -20332?\nAnswer: -21001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 0*t + 3*t + 5*t.\nAnswer: 8*t - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 764743873.\nAnswer: 107, 7147139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 3 - 2)*(3*z + 0*z - z) - 173*z - 1 - 27 + 30 in the form x + c*z and give c.\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 392588?\nAnswer: 2, 7, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 89*q - 51 + 89*q - 176*q - q + q + 2*q + q + 0 + 0 + (1 + 1 + 0)*(3 + q - 3) + 2*q + 0*q - q.\nAnswer: 8*q - 51","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 9) to base 7\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5000 + -5?\nAnswer: -5005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + 15*r - 2. Let b(j) = 5*j**2 + 77*j - 11. Let x = -138 + 144. Let d(a) = x*b(a) - 33*i(a). Factor d(n).\nAnswer: -3*n*(n + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 58 = -s - 183, 491 = 4*d + s. Is d a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 248052 and 266616?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 2 a, and 1 j when four letters picked without replacement from {j: 2, z: 2, y: 4, e: 1, a: 3, h: 2}?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/3)*f*f**4\/f*f*f*f**(-1\/4)*f*(f*f*f*f*f**(2\/3)*f)\/f*f*f)\/((f**(-1\/3))**(1\/10))**39 assuming f is positive.\nAnswer: f**(301\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/8 of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3274 - -3330. Calculate the greatest common divisor of r and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j**2 - 7*j**2 + j + 0*j.\nAnswer: -2*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 189 and 441.\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -7*i + 86. Let v be j(10). Solve z + v = -3*z + 3*b, -2*z - 5*b - 8 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -46 or -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162*k - 79*k + 9180 = -61*k. Suppose 0 = -4*l - 8, -4*d = -4*l + 2 - 10. Let g be 0\/1 + d + 17. Calculate the greatest common divisor of g and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -3*u - 12, -2*p - 12 = 8*u - 10*u. Let d(t) = -t + 1. Let b(f) = -5*f + 7. Let m(i) = b(i) - 6*d(i). Let v be m(-3). Sort v, u, 4.\nAnswer: v, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16071399, 32142801, 48214203?\nAnswer: 64285605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 126215.4um to centimeters.\nAnswer: 12.62154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 3326 = 473. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a decade in years?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-2) - (-2)\/(-4). Let h be (4 - (g + -2)) + -4. Suppose -h*w - 5 = j + 2, -5*j + 2*w + 13 = 0. Calculate the highest common factor of j and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 163 - 187.6. Let w = i + 21. Let m = w - -4. Which is the second biggest value? (a) 0.2 (b) m (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-2) - (-354)\/12. Is 46302\/o - (-4)\/(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 81\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, -124, -36.8, -1 in decreasing order.\nAnswer: 31, -1, -36.8, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 3*d + 0*d)*(-17 - 26 - 46 - 4*d)*(-8 + 8 + 2*d**2).\nAnswer: 8*d**4 + 178*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2592)\/(-4320) + (-20892)\/(-5) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -2*s - 4, -4*s - 16 + 8 = -4*i for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 2*i**3)*((3*i + 4*i - 4*i)*(i - i + 2*i) + (-2 + 2 - i)*(0 + 0 - 2*i)).\nAnswer: -16*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -42417?\nAnswer: 42420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - 11*i + 14. Let f be p(8). Which is the closest to 1? (a) -0.2 (b) f (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9999697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (22 - 2) + -38 + (36 - 15)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -773*j + 706*j + 2 - j**3 - 3*j**2 + 3*j**2 as u*j**3 + q*j**2 + n*j + w and give n.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5345456g in tonnes?\nAnswer: 0.0000005345456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 428538634 to the power of 1\/2, to the nearest integer?\nAnswer: 20701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**4\/6 + 832*y**3\/3 - 28079*y**2\/6 + 65912*y\/3 - 17568 = 0. Calculate y.\nAnswer: 1, 8, 1647","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31251 is divided by 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 8:36 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.1215, -0.06, -28.1?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*x - 8*x. Let a(y) = y**2 + 5*y - 3. Let r be a(-6). Let o be x + r*-1 + 17. Calculate the greatest common factor of o and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 9*h**2 - 23*h + 1. Calculate c(11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 227.7 - 227.8. Let j(k) = -k**3 - 2*k**2 - k + 15. Let w be j(0). Which is the closest to w? (a) y (b) 3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -43*w**3 - 27. Let r be (17\/(-51))\/((-1)\/(-3)). Let d(m) = 4 + 4 - 7. Let x(g) = r*l(g) + 2*d(g). What is the first derivative of x(u) wrt u?\nAnswer: 129*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -3 (b) 3 (c) -0.1393\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o + 15 = 92. Calculate the highest common divisor of o and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 - 35. Let m = x - -11. Let t = 6 + -6.3. Which is the nearest to -1? (a) t (b) -3\/4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 5*d + 9. Let o be l(-3). Let u(m) = -2*m**3 - 3*m**2 - 3*m. Let k(t) = -10*t**3 - 14*t**2 - 14*t. Determine o*k(i) + 28*u(i).\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*u + 17*u + 18*u + 0*u - 42*u.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.42009 milliseconds in nanoseconds?\nAnswer: 89420090","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - 0 - (-20)\/5. Suppose 0 = 5*b - 2*b - 6. Suppose -20 = 6*w - b*w. What is the third biggest value in 3, t, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 10*i**2 - 92*i - 653. Let m(a) = -7*a**2 + 86*a + 654. Let r(c) = 3*m(c) + 2*x(c). Factor r(w).\nAnswer: -(w - 82)*(w + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -50*b + 2475. What is k(50)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**3 + 2*b**3 + 2*b**3)*(-34*b**2 - 13*b**2 + 9*b**2) + (5*b**2 - 3*b**2 + 0*b**2)*(3*b**3 - 2*b**3 + b**3).\nAnswer: -34*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-183)\/427*(-2)\/(-3)*1\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 6565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2725501879 a multiple of 152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26656 and 1232238.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bwewe. What is prob of picking 2 e, 1 b, and 1 w?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 4*j + 4*j)*(2*j**3 - 7*j**3 + 3*j**3) - 2*j - 4*j**4 + 2*j.\nAnswer: -2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44662 = -8*t + 136058. Does 18 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 7*q + 1. Let s be t(1). Let m(u) = 2*u**2 + 3*u - 2. Let o be ((-1)\/(-2))\/((-2)\/12). Let l be m(o). Which is greater: l or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 14. Suppose 3*y - 5*j + 37 = h, 3*y + 5*j = 2*y + 21. Put y, -6, -5 in descending order.\nAnswer: y, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (-9 - 8 - -15) + 6 + 1.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*l + 1522 - 1210 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1330 + -1341?\nAnswer: -2671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*y - 3*y - 12255. What is the units digit of y\/45 + (-40)\/(-18) + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from numnm. Give prob of sequence mmn.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 36\/63 + (-2239)\/3612*1 and -44\/15.\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/4 + 8\/(-16). Let q be ((-22)\/5)\/(((-136)\/(-160))\/17). Let i = -73 - q. Solve b*c = -6, 2*n - i = n + 5*c for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -277 = 3*w - 289. Let s(r) = -2*r**2 + 4*r - 4 + 0 + 5*r**3 + 9*r**2 - 5*r**2. Let n(f) = 11*f**3 + 4*f**2 + 9*f - 9. Determine w*n(z) - 9*s(z).\nAnswer: -z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 8) + (-4)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 5 - 2 = 0, -7 = -q + 5*s. Let i(z) = -z**2 + 8*z + 2. Let d be i(8). Let u be d + -1 + 1*2. Solve q*b - 18 = -4*c - 0*b, -3*c = -4*b + u for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 871.228 grams?\nAnswer: 871228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -3, 0.3, 0.83, 0.01, 3, -1\/5?\nAnswer: 0.83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (15 + 0 + -13 - 21) + 10\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 3*t + 145*t**2 + 5 - 99*t**2 in the form n*t**2 + v*t + q and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1088 - 648. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -4. Let c = 8902 - 8903.4. What is the third smallest value in 1\/5, q, c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34848*v**2 + 15 + 7536*v**3 - 764*v**3 + 35176*v**2 wrt v.\nAnswer: 40632","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p + 7. Let m(a) = a**3 + 4*a**2 - 2*a - 3. Let u be m(-4). Let j be s(u). Let q = -11 - -13. Solve 2*z - 5*z + y + q = 0, 0 = -5*z + j*y + 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 0. Which is the closest to -0.1? (a) 0.2 (b) 2\/15 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 101*f - 6. Let z be a(-1). Let o = 95 + z. Sort 3, -5, o, 5.\nAnswer: o, -5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-3*6\/9). Let s be -5 + 2 + b\/(-1). Let p be (-1 - s)*(3 - 3). Solve w = -0*w + 5*k + 14, -2*w + k + 1 = p for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 49.50691ug?\nAnswer: 0.00004950691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of p**4\/36 + p**3\/6 - 5*p**2\/3 - 103*p - 187. Let n(t) be the first derivative of j(t). Solve n(z) = 0.\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 15*h**2 - 66207*h - 13242 = 0.\nAnswer: -1\/5, 4414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1026838728 a multiple of 216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-126)\/5)\/((-13)\/65). Let p be 3\/4 - 50\/(-8). Suppose -p*z = 39 - 137. Calculate the highest common factor of z and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/26296 and -89\/65740.\nAnswer: 131480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (54 - 163 + 79)*(0 - s**2 + 0)*(6*s + 7 - 7) in the form i*s**3 + p + k*s**2 + w*s and give i.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.6496 - -49.5276. Let u = -0.122 - o. Let r = u + -7. Is 0 at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 1 = -2*j, 0 = -j - 20*u - 1618 + 1482 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 v when three letters picked without replacement from uiiivivvuiuviiivv?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {m: 12, k: 3}.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 379a62 (base 16) in base 12?\nAnswer: 127896a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2124*b*z**4 - 632*b*z**3 - 6*b*z - 3260*b - 2 wrt z?\nAnswer: 25488*b*z**2 - 3792*b*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -660*s + 60*s - 544*s - 190*s.\nAnswer: -1334*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.06181, -2, -43?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*h = -95*h - 13. Put -1\/8, h, -0.06, -2 in descending order.\nAnswer: h, -0.06, -1\/8, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -643 - -646.99. Let z = -0.01 - s. Let r = -208 + 1459\/7. What is the closest to 1 in r, z, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 15875935 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 730 (c) 5.9 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 11*s - 14*s. Suppose s + 29 = a. Is a a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/2105 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13a + 433?\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -916 - 71*m - 881 + 1831. Suppose -2*f + 55 = -5*b - 0*f, -f = 2*b + 13. Is l(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 481 - 481 + l + 24*l**2. Let k be a(1). Is k equal to 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -562 (b) 12705 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 123552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -71 + -77. Let s = n - -1039\/7. Let d be 2 + 1*20\/(-12). What is the smallest value in s, -5, d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 257 + -13?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 37*h**2 - 21*h + 7. Let n(v) = 19*v**2 - 10*v + 3. Let s(q) = -7*n(q) + 3*z(q). Let x be s(-2). Let g = x - -82. Is -21 >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44883 is divided by 14960?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 20866228.\nAnswer: 5\/20866228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5586 + 6945. Calculate the greatest common divisor of 151 and a.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m**2 + 7*m - 9. Let s be g(-9). Suppose l - s = -4. Let u = -23 - l. What is u rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -240. Is g\/(-3) + (-4)\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) -0.17 (c) -3\/22 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176903059?\nAnswer: 176903059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -1\/8, -1\/12, 0.3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -27970.\nAnswer: 1\/5594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 48287 = 5*l, 11659 = -2*r + 5*l + 43842. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 0, -5, -1097 in increasing order.\nAnswer: -1097, -15, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of 11*n**5\/20 + n**4\/12 - 7*n**3\/6 + 11*n**2\/2 + 162*n. Let u be k(4). Calculate the greatest common factor of u and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - 1) + -3 + (-4 - -8) + -7?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 10. Which is the closest to -4? (a) 1 (b) -4\/7 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -265*r + 44*r + 2699073. List the prime factors of r.\nAnswer: 3, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + 7*b + 12. Let d be t(-7). Let g be 32\/d*(-3)\/2. List the prime factors of g + 37 + 2 + -5.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -6, -124 in ascending order.\nAnswer: -124, -6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a week in minutes?\nAnswer: 35280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 2*r**2 - r + 3. Let i be p(3). Suppose -i*b - 10 = 35. Let u(w) = -13*w + 1. Is u(b) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gjh when three letters picked without replacement from {w: 1, h: 3, j: 6, g: 4}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of v**7\/84 + v**6\/15 + v**5\/15 - 5*v**3\/3 - 4. Let x(n) be the third derivative of c(n). Factor x(t).\nAnswer: 2*t*(t + 2)*(5*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 450.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 7*t - 95708. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3c742d5 + d?\nAnswer: -3c742c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 339096083 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 4*b + 7. Let w(q) = 8*q + 15. Let h(o) = -5*r(o) + 2*w(o). Let a(j) = j + 1. Let g(l) = -5*a(l) - h(l). Let i(t) = -2*t. Determine g(i(u)).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 6) in base 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48618.\nAnswer: 2, 3, 37, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -131?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -1407*p**2 - 2*p**3 + 309*p + 1407*p**2 + p**3 in the form b*p**3 + l*p**2 + f + r*p and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 19\/((-76)\/8)*4. Let n = d - -15. Solve 0 = 2*a - n + 1 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52451400 rounded to the nearest 100000?\nAnswer: -52500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 948491833*i + 0*i**2 - 4 + 2*i**2 - 948491891*i + 4.\nAnswer: 2*i**2 - 58*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -105 - -212?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 801 + -789. Solve -g - d - 3*d + u = 0, 12 = 3*g + 4*d for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -149787.\nAnswer: 449361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27408 = 36588*t - 35446*t for t.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*j + 2 = 0. Let n = j - -4. Suppose -n*a - 7 = 5. Is a > -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**1\/i))**(-1\/58) assuming i is positive.\nAnswer: i**(-1\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 271, 451, 631, 811?\n\"Answer: 180*g + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**2. Let v(l) = -103 - 175*l - 122 + 1 - 85 + 177*l. Give k(v(i)).\nAnswer: -8*i**2 + 2472*i - 190962","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + t - 4 = 0. Let l = 14 + -25. Let v = -7 - l. Calculate the lowest common multiple of v and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 18*u**2 - 17*u - 5. Let x be w(17). Let z = x + 27. What are the prime factors of z?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 259376 less than -14080510.4?\nAnswer: -14339886.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 355385626 and 516.\nAnswer: 2132313756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 664365 is divided by 294?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1345184959.81 minus 128?\nAnswer: -1345185087.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3427*l + 3425*l - 70 = -5*w, 0 = -9*l + 5*w - 280 for l.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 56894110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 - 17. Differentiate -21 - 4*p + 7 + 3*p - v*p with respect to p.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*1)\/(((-84)\/(-57))\/((-1051)\/(-139783))).\nAnswer: -1\/98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -4*p - 18, 3*p + 21 = 2*a + 4. Let i(n) = 1 + n**3 + a*n - 7*n. Is i(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 5:55 AM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2199879662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h*((h*(h**(4\/5)\/h)\/h)\/h)\/h)*h*h**2*h*h*h**5*h*h**(-2\/7) assuming h is positive.\nAnswer: h**(452\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5\/3, -2\/5, -1\/7, 2, -0.7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 4*t**2 - 4*t**2 + 7*t + t**2. Suppose 861 = -46*o + 677. Let l(i) = -2*i**2 - 15*i. Calculate o*l(q) - 9*m(q).\nAnswer: -q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**2 - 3*x - 2. Let i(t) = -10*t**2 + 15*t + 11. Let c(v) = 2*i(v) + 11*m(v). What is the second derivative of c(w) wrt w?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2063 from 26.\nAnswer: -2037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q + 5*q + 0*q - 2*q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4473 times 2.4?\nAnswer: -10735.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0)**18*(q**5\/q)\/(q**3*q) assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1197 * 2.4.\nAnswer: -2872.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 53\/(-28)*118\/56. Let a be (-31)\/(-196)*(-9 - (-11 + -4)). Let n = s - a. What is the common denominator of n and 21\/40?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1273.\nAnswer: 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 139521677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 3:12 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49 - 44 + 93 - k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5 = -7. Let v = 455 + -492. Let k = 24 - 27. Put k, 1\/3, v, d in increasing order.\nAnswer: v, k, 1\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1*(-2)\/(-8))\/(6\/(-144)). Let w(s) = 2*s**2 - 2*s - 13. Let t(p) = 2*p**2 - 3*p - 12. Let g(l) = o*t(l) - 5*w(l). What is g(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, v: 8, o: 1, x: 4, a: 2}. What is prob of sequence cvv?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3998990538?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c**3 - 31*c**2 - 34*c - 36. Let w(f) = -2*f**3 + 15*f**2 + 17*f + 19. Let q(p) = 3*m(p) + 5*w(p). What are the prime factors of q(-18)?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 577 a factor of 80759805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 a when two letters picked without replacement from lesnnfnlfasfl?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2464 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 6:00 PM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15484\/(-3871)*(-3)\/3*-8.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7665 divided by -105?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(204)*-4)\/sqrt(3))**2 + 3 + (4 + (3*sqrt(85)*-2)\/sqrt(5))**2).\nAnswer: -5157 + 144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aiaa. Give prob of sequence iaa.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2207, -10195, -23505, -42137, -66091, -95367, -129965?\nAnswer: -169885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/132)\/((-2)\/(-2*1))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/58? (a) -0.3 (b) 2\/3 (c) 0.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*z - 7248 + 8996 = 0 for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 o when two letters picked without replacement from {z: 1, u: 2, o: 4, l: 4}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 - (24\/(-9))\/(3\/(-18)). Which is bigger: -22 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 32, 4, 28, 0 in descending order.\nAnswer: 32, 28, 5, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 4*o + 2. Let f be o + -2 - (1 - 5). Let v = 1 - f. Which is the nearest to -0.1? (a) v (b) 0 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oozooooo. Give prob of sequence ooo.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6261753, 6261747, 6261741?\nAnswer: 6261735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -329, -754, -1223, -1730, -2269, -2834, -3419, -4018?\nAnswer: -4625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 647037.5 litres to millilitres.\nAnswer: 647037500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 2 - (-235)\/5. Calculate the greatest common divisor of 294 and d.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -9) + (-3 - 5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7519 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*t + 2*t**2 + 4*t)*(2*t - 2*t + 3*t + (2 + 2 - 5)*(25 - 25 - t)) in the form g*t**3 + m + i*t + h*t**2 and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 21*l**5 + 6*l**4 - 63*l**3 - 60*l**2 - 12*l = 0.\nAnswer: -1, -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1071*d**3 + 5 + 50*d**5 + 1071*d**3 + (-2 + 2 + 2)*(5*d**5 - 4*d**5 - 3*d**5).\nAnswer: 46*d**5 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3 = -0*x. Suppose 4*p = 17 + 3. Suppose -2 = -p*y + q + 18, 0 = -x*q. Solve 12 = 4*l + y for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*a - 30 = 0. Let q = 10 + a. Let 0 - 2\/3*y**2 + 1\/3*y**3 + 8\/3*y**q + 0*y + 5\/3*y**5 = 0. What is y?\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 141.3 and -0.035.\nAnswer: 141.265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-178)\/(-8) - (-6)\/(-24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -895910.59 rounded to the nearest 1000?\nAnswer: -896000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 9. Is -1 < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 31*w**2. Suppose 0 = -3*m - 5*x + 12, m - 2*m = -3*x + 10. What is a(m)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-6))\/(4*(-2)\/24).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 21*v + 31. Suppose 2*k = 39 - 17. Let u(b) = -4*b - 6. Determine k*u(y) + 2*i(y).\nAnswer: -2*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -0*y. Let d(w) = -w + 8. Let c be d(-7). Solve c = -3*n - y*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9\/10 of a microgram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.32 in -24\/41, -2\/7, 67?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-111204)\/(-105026))\/(2\/(-153))?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 1:37 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*u - 8 = 0. Let f = 5 + u. Solve -f*a - 4 = -3*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/2, 151, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 487373, 1, 18 in ascending order.\nAnswer: 1, 18, 487373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 149552.\nAnswer: 1645072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5*(3*sqrt(7) + 4) + -2.\nAnswer: 13 + 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1174218612?\nAnswer: 2, 3, 7, 13978793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5\/3, 4.2, 343.\nAnswer: -5, 5\/3, 4.2, 343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*1*(-69)\/(-6). Let x = -33 + z. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44 (base 15) to base 9\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20692 is divided by 131?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 187 - 180. Let i(l) = -4 - 5*l + l**2 - 2*l - 5. Let q be i(v). Do q and -9 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 8247163 - 2*t**2 - 8247163. Let x(g) = 902*g. What is k(x(z))?\nAnswer: -1627208*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1287 + 2108. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of 5*t**5\/12 - 9*t**4\/8 - t**2 + 7. Let h(f) be the second derivative of a(f). Find the second derivative of h(n) wrt n.\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of 9*w - 1\/12*w**4 + 0*w**2 + 0*w**3 + 0. Let l(i) be the second derivative of -13*i**3\/6 + 11*i. Determine x(l(c)).\nAnswer: -169*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1309 a factor of 2941790313?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -1, -2.3.\nAnswer: -2.3, -1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 10:35 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10.869992733 + 10.87. Round c to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 320517 - -1162?\nAnswer: 321701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*r**2 - r**2 + 2*r**2)*(183*r + 2 + 187*r - 166*r**2 + 304*r + 167*r**2).\nAnswer: -5*r**4 - 3370*r**3 - 10*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 226?\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 29\/(-246) - (637\/(-78))\/49\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3831980 rounded to the nearest 10000?\nAnswer: -3830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1074946?\nAnswer: 2, 53, 10141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.054936793 to 4 dps.\nAnswer: 3.0549","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**4 + 3*v**3 - 2*v - 3. Let m(h) = -h**3 + h + 1. Suppose -2 = i - 5. Let r(f) = i*m(f) + o(f). What is the second derivative of r(g) wrt g?\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 1838 (c) 234\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -3, -19.\nAnswer: -19, -5, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -313 = -w - 0*w. Suppose -2*i = -5*h - 164, -w = -3*i + 4*h - 74. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -s**4\/6 - 17*s**3\/6 - 8*s**2 + 196*s. Determine w(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(270)\/sqrt(40)*2.\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, y: 1, e: 5, w: 4, j: 1}. What is prob of picking 1 j and 2 w?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 4*d + 9. Let h(k) = 2*k + 5. Let b(z) = 4*c(z) - 7*h(z). Let l(n) = n + 1. Let v(x) = b(x) + 2*l(x). Let t = -4 + 2. What is v(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - (-9)\/1 - 1. Let v = -23 + 24. What is the greatest common factor of m and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*f + 6 - 6)*(-165 + 2*f**2 - 8*f + 165) to the form a*f**2 + i*f**3 + x*f + d and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2162, -7894, -17446, -30818, -48010?\n\"Answer: -1910*n**2 - 2*n - 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000067403118 rounded to 6 decimal places?\nAnswer: 0.000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11408043 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14 - -234010043?\nAnswer: 234010024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(13)*5 + sqrt(13) + (5 + sqrt(13)*3)**2 + sqrt(13).\nAnswer: 37*sqrt(13) + 142","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13\/312340 or -1?\nAnswer: 13\/312340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**2 + 2*i**3 + 12*i + 2*i**2 - 12*i + 2*i**3 in the form o*i + b*i**2 + a*i**3 + h and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 4*r + 0*r + 0*r. Let a be 48\/21 - -2*(-1)\/7. Let k(j) = 2*j**a - 1917 + 1917. What is k(b(q))?\nAnswer: 32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/16 and -17\/28895894.\nAnswer: 231167152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -92 + 52. Let a = x - -41. Solve 5*f - 1 = 9, -3*f + a = -r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1515937 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 146 - 144. What is the remainder when 119 is divided by a + (-40)\/300 + (-544)\/(-30)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 368 and 22001616.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (43 - 10)*(-2)\/(-6). Let c(w) = w + k + 0*w - 11. Let d(a) = -17*a. What is c(d(n))?\nAnswer: -17*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 - 8*v + 427. Let h be i(-25). Solve c - 2 = -h*s, -2*s + 4*c + 0 = -2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -531\/2, -138?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - b + 5*w = -30, -w - 18 = 3*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -413, -419, -427, -437, -449, -463, -479?\nAnswer: -497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*x + 33*x + 33*x - 94*x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -8, 84, -0.2747, -1\/6, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 450799087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8016876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -131, -187, -245, -305?\n\"Answer: -w**2 - 53*w - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.78 + 0.22. Let u be 30\/21 - (1 - 0). Let i = 18 + -18.2. What is the closest to i in u, x, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2172 and 44324004.\nAnswer: 2172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p**2 + 2*p - 2*p)*(10 + 35 + 17)*(p + 2*p - 5*p)*(-3 - 2 + 6) to the form f*p**2 + r + k*p + i*p**3 and give i.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4267744637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7397\/6763 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 - 7*b**3 + 4 + 9 + b**3 in the form l*b**2 + h*b**3 + g*b + u and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(1260) + -1*sqrt(1260))\/sqrt(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(3\/(-2)*4\/(-1194)). Let y = -85 + k. List the prime factors of y.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 13223.\nAnswer: 1\/1889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1613579 from -12005.85.\nAnswer: -1625584.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 734 or -0.62232?\nAnswer: -0.62232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21990192*z**3 + 2*z**2 + 744706393*z.\nAnswer: -131941152*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*d**3 + 225*d**2 + d - 99434 wrt d?\nAnswer: -6*d**2 + 450*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -18*s**2. Let a(r) = -r - 3*r + 11*r. Determine a(b(j)).\nAnswer: -126*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5 + 14 + 60\/(-12). Solve -9*u - q = -11*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2468*l + 285027 = 71*l + 28588 for l.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 56339916401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 49, 108, 189?\nAnswer: 292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 5*j + 19. Let a(m) = m**3 - m**2 + 2*m + 1. Calculate the remainder when a(3) is divided by b(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 10, -5, 25 in descending order.\nAnswer: 25, 10, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, 0.08, 1.9 in increasing order.\nAnswer: -0.02, 0.08, 1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 46 = -6*l, 0 = -5*i - 1227 + 1207 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 538813*f + 11853891. Calculate w(-22).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5039979 a multiple of 297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28\/69 or 572\/3?\nAnswer: -28\/69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y - 2*q + 258 - 283, -4*y - q - 17 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -5*r - 46. Suppose -z - 5 = -0*z. Let n(c) = -c**3 - 3*c**2 + 6*c - 7. What is the remainder when i(-19) is divided by n(z)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 13*h - 11. Give c(8).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (48\/(-192))\/((-357)\/444) + (-3)\/7\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - 2\/4*-4. Solve 3*s + 3*q - 3 = u, 5*s - 39 = 2*q - 6 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/42 and -97\/1426.\nAnswer: 29946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c**5 + 172*c**4 + 1016*c**3 - 532*c**2 - 1022*c + 360 = 0. Calculate c.\nAnswer: -20, -9, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -171, -0.4, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -1\/973 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -74439 (base 11) to base 13\nAnswer: -3a408","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4615348 centuries in months?\nAnswer: 553.84176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4 - 54*m**3 - 1441*m**2 + 16614*m.\nAnswer: m*(m - 71)*(m - 9)*(m + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 63*y**2 + 2*y + 2. Let w(v) = -5*v**3 + 253*v**2 - 9*v - 9. Determine -9*q(m) - 2*w(m).\nAnswer: m**3 + 61*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2 - 157054*u - 2670207.\nAnswer: (u - 157071)*(u + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, g: 1, a: 1, z: 1, s: 8, u: 1}. What is prob of sequence fa?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 7*o + 4*k - 32 = 0, -3*k = 0. Suppose 6*d + 3 = 21. Let x be (-36)\/(-54)*d\/o. What is the nearest to 0.05 in 3, 0.3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 678 a factor of 66797238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 753, 1512, 2271, 3030?\nAnswer: 3789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5070294436*g**2\/9 + 569648*g\/9 + 16\/9.\nAnswer: 4*(35603*g + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2459800?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 101819591 a multiple of 683?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k*k\/(k\/(k*k**(2\/5)*k))))**46\/((k**(1\/4)*k)\/k)**(1\/19) assuming k is positive.\nAnswer: k**(-24477\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-61)\/((-48800)\/24))\/((-25)\/((-1875)\/(-90)))\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -384923, -769848, -1154773, -1539698, -1924623?\n\"Answer: -384925*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + h**2 + 35 + h**2. Calculate the remainder when r(0) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -115 + 318. Is z a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - ((-8)\/(-112))\/((-4)\/(-266)). What is the second biggest value in 2, -4, s, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 354*u = 340*u + a - 69, -3*u - 64 = -4*a for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(-7) + (-6)\/(-21). Does 16 divide 2 + -2 + t + 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52 + -25. Let t = c - 30.9. What is t rounded to 0 dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/7)\/((-297)\/(-63))?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 4)*40\/(-72)*3. Sort s, 1, -1, 2 in increasing order.\nAnswer: s, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bxx when three letters picked without replacement from bxxxxxxxxbxx?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -6*d + 2*d, 0 = -5*g for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 13) to base 2\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*j**2*w - 860*j**2*x**2 - 1841*j*w*x**2 - 96*j*w*x wrt j.\nAnswer: 26*w - 1720*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/59 (b) -8 (c) -3\/4 (d) 28 (e) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -127664 and 3.\nAnswer: -382992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9902, -22839, -35776, -48713, -61650?\n\"Answer: -12937*i + 3035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10222 (base 4) in base 9?\nAnswer: -361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16318?\nAnswer: 2, 41, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of 1\/42*h**7 - 3*h + 0*h**2 + 0*h**6 + 0*h**5 + 0*h**4 + 0 + 1\/6*h**3. What is the second derivative of p(d) wrt d?\nAnswer: 20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3\/2 + -5\/6. Let o = -1.1 + 0.94. Let t = o - -0.56. Which is the second smallest value? (a) 0 (b) t (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**2 - 15*j + 20.\nAnswer: -5*(j - 1)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 4:22 AM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -145406 divided by -2?\nAnswer: 72703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*-23.4211.\nAnswer: 281.0532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -102007146 rounded to the nearest 100000?\nAnswer: -102000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 410496?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + -7)*(-57)\/(-285).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from {t: 8, l: 1, p: 10}.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1194 + -1179. Solve -f + 31 = -4*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 13572711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p**5 - 4*p**5 - 5*p**5 + p**3 + p**5 - p**3 + (0 + 1 + 0)*(-4*p**5 - 2*p**5 + 4*p**5).\nAnswer: -6*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3725.359 rounded to the nearest 10?\nAnswer: 3730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pt when two letters picked without replacement from {p: 11, t: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*a**5 - 1070*a**4 - 65*a**3 - 1118032*a**2 - a + 1?\nAnswer: 1020*a**2 - 25680*a - 390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/2159 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 103\/4 - 26. Let c = 902\/5 + -181. Suppose -17 = 3*z + 5*p, 0*z - 4*p = 2*z + 12. What is the nearest to a in c, z, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11128 less than -0.353?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 14 times 98.79\nAnswer: 1383.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18515 is divided by 18473.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 36040573 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 481960251?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -9*x**4\/4 + x**2 + 2*x + 50. Let g(m) = -19*m**3 + 5*m + 5. What is -5*b(u) + 2*g(u)?\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 2*g - 15 = 0, -2*z + 4*g - 6 = 3*g for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 46 - 41. Find the second derivative of 21*v**4 + 31*v + 3*v**y - 12*v**4 - 9*v**4 wrt v.\nAnswer: 60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -282509?\nAnswer: -28250d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 20 = -26. Let d be (15\/(-25))\/(c\/10). Let i(t) = 3 - d + 2 - t**2 + 7*t - 2. Give i(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 574\/365 or 2?\nAnswer: 574\/365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 56 = 3*k + 35, 4*k - 11 = y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 1:33 PM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*n - 492 - 328 = 0. What is the lowest common multiple of n and 7?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -47045 - -47044.5. Let x = -0.5 + 0.3. Let j = 0.1 + 1.9. What is the nearest to j in x, k, -0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of 3*o + 1\/6*o**3 + 0 + o**2. What is the first derivative of g(l) wrt l?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -7*z**2 - 3*z - 27. What is j(0)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z = 13*z - 10. Suppose 0*x + z*x = 35. Calculate the highest common factor of 21 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*t**3*v**4 + t**3*v**2 + 2*t**3 - 4*t**2*v - 4*t*v**3 - 2*v**4 wrt v.\nAnswer: 192*t**3*v - 24*t - 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 19*i - 1270. Give v(57).\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 2 m, and 1 s when four letters picked without replacement from {m: 1, k: 3, s: 3, n: 1, g: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255*o**4 - 8624065*o**3 - 72915581800*o**2 + 10008183500*o = 0.\nAnswer: -16910, 0, 7\/51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b + 12. Let u be c(0). Which is smaller: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2204525 and 4033?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) 2\/3 (c) -25 (d) 6 (e) -0.095 (f) -2.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 5*h - 4*v + 29, 2 = v for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22888 + -21645. Calculate the highest common factor of 77 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -792 + 69?\nAnswer: -727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 104 + -29. Let w be (-45)\/s - (-96)\/10. Round w to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 28*q**2 - 27*q + 61. Let g be u(24). Let i = -1166 + g. List the prime factors of i.\nAnswer: 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2. Let m(p) be the second derivative of p**6\/360 + p**4\/3 + 4*p. Let h(u) be the third derivative of m(u). Calculate h(q(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 6*f**2 - 5. Let r(l) = -3*l**2 - 1. Let t(m) = 16*m**2 + 6. Let v(p) = -11*r(p) - 2*t(p). Suppose -n = -0*n + 1. Determine n*s(k) + 6*v(k).\nAnswer: -k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-110)\/(-5)*(-2)\/(-4) and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12672 + -12641.029. Let u = 0.029 + v. Let d = u + -31.2. Sort d, -0.1, -5\/2 in increasing order.\nAnswer: -5\/2, d, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/((-3)\/(-3) + 0). Let n(m) = 2*m + 2. What is n(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 12*a + 10. Let f be o(-11). What is the common denominator of -41\/7 and f*(-12)\/(-10)*160\/28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 351 = -470*g + 378*g + 2927 for g.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -5056?\nAnswer: -5058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 50346748 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 3*t**2 - t + 1. Let u = 4 + -7. Let r(f) = -f**3 - f**2 + f + 3. Calculate the lowest common multiple of r(0) and k(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (106\/10)\/(13\/(637\/(-14))*399\/(-570))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 60a?\nAnswer: -611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 + 4*d + 4. Let y be f(4). Suppose y*p - 1 = 15. Let q(s) = s**2 - 2*s - 8. Let a be q(p). Sort 3, -2, a.\nAnswer: -2, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 6*a**2 + a. Let r(t) = t**2 - 11*t + 6. Let l be r(11). Calculate the remainder when z(l) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 m when three letters picked without replacement from gmmggg.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 0. Let f = -0.6 + 1. Which is the smallest value? (a) s (b) -0.2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6819 less than or equal to 6819?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3 - 2*p - p + 4*p. Let r be a(7). Suppose v + r*v - 2*h = 4, 7 = 5*v - h. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10 - (20 - 9)) + (-6 - -16)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -83\/396 + 1\/36. What is the third biggest value in u, 1, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 36*a**2 - 277*a + 10. Calculate k(11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 5*m**2 + 7*m - 11. Let u(h) = 3*h**2 + 4*h - 6. Determine -6*l(c) + 11*u(c).\nAnswer: 3*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2655\/28216 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*i - 0. Is 3*i + 33 + 7 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -7. Let u = -4 - -6. Let b = -0.5 - -0.3. Sort b, u, l in descending order.\nAnswer: u, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - h + 2*q = -10, -2*h - q + 2 = 0. Suppose 6*c + h*c = 320. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 8, o: 6, n: 3, l: 1}. Give prob of sequence zn.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 104 - 166 = 0. Is ((-24474)\/(-12))\/(3\/b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31492 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 273564881 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2119881 >= 2119878?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*a - 26*a - 14 = 0. Suppose -321 - 337 = -a*m. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -490*j + 980. What is y(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c*d**3 - 810*c*d**2 + c*d + 4*d**6 - 8*d**3 wrt d.\nAnswer: 12*c + 480*d**3 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = a + 1. Suppose a = f - 1. Suppose -r = 4*z + 752, 2*r + f*r + z + 3703 = 0. Round r to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1804 is divided by 225?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t - 34. Let j(o) = -2*o**2 + 38*o - 8. Determine h(j(n)).\nAnswer: 4*n**2 - 76*n - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f**3 - 2*f**3 + 8*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1202121201012 (base 3) in base 9?\nAnswer: -1677635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9117 and 15195.\nAnswer: 45585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11338, -11337, -11336, -11335, -11334?\nAnswer: -11333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 3*f**2 + 2*f + 4. Let z be p(3). Suppose 2 = -4*d + z. What is the first derivative of 0*a**d - 2 + 0 + 2*a**2 wrt a?\nAnswer: 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p*(p**(-5\/9)*p)\/p)*p*p)\/p*p**(3\/4) assuming p is positive.\nAnswer: p**(119\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13136*w**3 - 2*w**2 + 144*w - 4 wrt w?\nAnswer: 78816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 95740 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/27 and -67\/37732923.\nAnswer: 113198769","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10811 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94442 is divided by 182?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*((l\/(l*l**(-9)))\/l)\/l*(l**(3\/17)\/l)\/l)\/((l**(2\/21)*l)\/(l*(l**(-20)*l)\/l)) assuming l is positive.\nAnswer: l**(-4969\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t - 2. What is q(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**3 + y**4 - y**3 + (-3*y**2 + 6*y**2 + y**2)*(y**2 + y**2 - 3*y**2).\nAnswer: -3*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 12 = 0, -4*u - 2*l = -4*l for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 b when three letters picked without replacement from {i: 4, w: 4, f: 5, b: 1, v: 1}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 310 + -311. Let c be (230\/(-46))\/(g\/1). Solve -4*i = 5*k + 45, -3*i - 2*k + 4*k = c for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006707359 to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u - 55. Let r be j(19). Let x(g) = -45*g + g**r + 39*g + 26*g. Let k be x(-20). Solve -5*i + k*l = 2*l - 5, i - 3*l = 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t**4 + 6*t**4 + 8*t**4)*(1 - 1 + 2 + (1 + 3 - 3)*(0 + 0 + 2) + 1 - 1 + 2 + 5 - 4 - 2 + 0 + 3 - 4 - 3 + 1 + 3 + 4 - 4 - 2 + 2 + 3 - 3).\nAnswer: 40*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*q - 4*q**2 + 6*q + 1 - 2*q**2 - 1 + (q + 3 - 3)*(-q + 3*q - q) + (8 - 8 - 2*q + 2*q**2)*(-4 - 16 + 4).\nAnswer: -37*q**2 + 32*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) + 0)**2 + sqrt(13) + -1 + 4.\nAnswer: sqrt(13) + 835","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*(-56)\/72)\/((-36)\/(-540))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1979*p + 101070 - 37422 = -10*p for p.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g = 17*g + 33450. What is g rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 10:20 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r + 78 = 89 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and -300.\nAnswer: -305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -4484*k**2 - 4430*k**2 - 4350*k**2 + 13058*k**2 + 19*k in the form b*k + c + h*k**2 and give h.\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*m + 44 = 4*v - 24*m, -2*v + m = -24. Solve 95*k = 102*k - v for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2. Let c(z) = 5*z - 3*z - z + 0*z**2 + 2 - 3*z**2. What is c(o) + g(o)?\nAnswer: -2*o**2 + o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -12*p + 9. Let d(l) = -17*l - 21. Let c be d(-7). Let u = c - 100. Let k be t(u). Calculate the highest common factor of 55 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 220687*q**5 - q**3 + 710935*q**2 wrt q?\nAnswer: 13241220*q**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.9 and 2.81?\nAnswer: 16.579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 18*c - 5. Let q(m) = -m + 1. Let j(k) = -6*q(k) - y(k). Is j(-11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5 - (2 + -3)) + -3. Suppose -2*u - 2*n + 10 = u, -5*u = -x*n - 4. Suppose u*v - 1 = -5, -2*v = 5*w - 101. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4120 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*(21\/(-9))\/1. Solve -4*k = -23 + o for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34 by 141.\nAnswer: -34\/141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**3*p*x**3 + 277*a**2*p - a*p**3 + 2*p**3*x**3 - 2*p**2*x**2 - 862*p*x**3 with respect to a.\nAnswer: 6*a**2*p*x**3 + 554*a*p - p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 7*i + 11*i + 278822 = 0, 13*i = -3*x + 167401. What are the prime factors of x?\nAnswer: 2, 3, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tfetttetftttttt. What is prob of sequence ff?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1527, -2509, -3491, -4473, -5455?\n\"Answer: -982*h - 545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-3049.\nAnswer: 15245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1683, 1628, 1569, 1506, 1439, 1368, 1293?\n\"Answer: -2*o**2 - 49*o + 1734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 19691634?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -124611.2 times -0.3?\nAnswer: 37383.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.985 + -2.785. Let j = 3 - 2.5. Let h = 15\/26 + -53\/182. What is the third biggest value in j, i, h?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 12 = 2*j. Suppose 0 = -3*y - 3*n + 12, 3*n = 6*y - 2*y - 37. Suppose 2*w - 4*b + 6 = y*w, -3*w + 3*b = -9. Solve -j = w*k + 5 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xaz when three letters picked without replacement from zoazx?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 493 and 40783.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1013320292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v**2 + 6*v**2 + 9*v**3)*(-v**2 - 6*v**2 + 3*v**2).\nAnswer: -36*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1172268555 by 433371.\nAnswer: 2705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3341520 divided by 7\nAnswer: -477360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*p**2 + 4 - 4 + (25 - 25 - p)*(5 - 5 + 3*p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -51381c - 12?\nAnswer: -51382e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 8*w - 11. Let r be a(6). Let b(u) = u**3 - u**2 + 1. Let s(v) = 2*v**3 - v - 1. What is r*s(g) + b(g)?\nAnswer: 3*g**3 - g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c + 0*c + 3*c**2 + (451*c - 1335*c + 571*c)*(-6*c - 74 + 74).\nAnswer: 1881*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249372 is divided by 7334.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - d = 4*d - 519, 5*t - 5*d - 1315 = 0. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f**2 - 4*f**2 - 2*f**3 + 9*f + f**2. Let c(t) be the second derivative of -t**5\/10 - 5*t**4\/12 + 4*t**3\/3 + 420*t. What is -6*c(v) + 5*h(v)?\nAnswer: 2*v**3 - 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -296?\nAnswer: -291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-108) + ((-16)\/(-9) - 2). What is the closest to -1\/4 in -5, k, -2\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 8*f**2 + 538077*f - 538076. What is k(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and 3373548558470.\nAnswer: 3373548558469.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-2\/9))\/r)\/r**12)\/(r*r**(-1\/4)*r)**3 assuming r is positive.\nAnswer: r**(-629\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 537 is divided by 70?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011 (base 2) to base 9.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.01 + -0.07. Let l be (4 - 2) + (80\/(-22))\/2. Which is the biggest value? (a) l (b) q (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2*r + 54198504 + 41337493, -4*r = 5*u - 191072005. Round r to the nearest one million.\nAnswer: 48000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1b365 (base 15) to base 11\nAnswer: 60563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -3, -m + 45 = x - 30. Calculate the remainder when x is divided by 44.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(28)\/sqrt(4) + sqrt(7)*-1 + -2.\nAnswer: -2 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o + 68*o - 483 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g = -11, -g = -5*v - 3*g - 7. Which is bigger: v or -1\/2255?\nAnswer: -1\/2255","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 5*z - 45, 0*k - k + 5 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7999774 divided by -1877?\nAnswer: -4262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 50, 104, 210, 386, 650, 1020, 1514?\nAnswer: 2150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/(392\/(-42))*(-166 + 2). Solve -r = -3*v - 7, 3*r = 5*v + 263 - z for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -476 + 626. Does 3 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3318)\/(-672) + -1*(-3 + 141\/48). Solve -n*r + 22 = -i, 2 = -2*r + 3*i + 3 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -7*c + 1. Let g(y) be the second derivative of 4*y**4\/3 - 5*y**3\/6 - y**2 - 7*y. What is the remainder when g(-2) is divided by w(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3409 + -3405. What is the nearest to -6 in 2, -0.01, -1\/4, c?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 343.4 * 0.4.\nAnswer: 137.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*r - 144 = 75*r - 4*z, r = 5*z + 23. Solve r*u - 32*u - 3*x + 10 = 0, -x = 4*u - 6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 14 (c) -146 (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2884 + 2964. Calculate the remainder when 471 is divided by c.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 83 + -274?\nAnswer: -191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 2*u + 11. Let x be o(-4). Solve -x*y - 21 = 4*j + j, -3*j - 11 = y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*k = 70*k - 46673 + 33773 for k.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177*u - 176*u + 883 - 177 = 0. Let l(i) = -i**3 - 4*i**2 + 2*i + 3. Let w be l(-4). Sort -54, -2, u, w in ascending order.\nAnswer: -54, w, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1260 + 423. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -993373*j**3 + 199*j + 919 wrt j?\nAnswer: -5960238*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*75\/(-50)*((-20)\/(-24))\/5.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -408298 divided by -2?\nAnswer: 204149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 11) to base 14\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 980\/2059?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 140. Let d be v(0). Let t be d\/6 + 5\/(-15). Suppose -37 = -5*x + t. What is the smallest common multiple of x and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15733234.34 to the nearest one thousand.\nAnswer: -15733000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 84135957?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -748 * 3524\nAnswer: -2635952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 divided by -22?\nAnswer: -166\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 4. Let d be ((-8)\/10)\/(2\/(-5)). Suppose 4*t - b = 13, -d*b + 0*b - 11 = -3*t. Solve 3*g + 24 = -v*m, 1 = -0*g + t*g - 2*m for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 241434 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uukuuukkkuukkuuuuuk. What is prob of sequence uu?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 11:26 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1554 and 16.\nAnswer: 12432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -108, -760, -4, 0 in increasing order.\nAnswer: -760, -108, -5, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of -m**7\/735 + 9*m**5\/70 + 9*m**4\/14 - 132*m**2. Suppose a(q) = 0. What is q?\nAnswer: -3, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63143*-0.5\nAnswer: -31571.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 16b37?\nAnswer: 16b39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3840 and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 4*f, 4*f = 2*h + 5*f + 5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/3 (b) 1\/6 (c) 1\/9 (d) 0.3432 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 49748, 199374, 448860, 798206, 1247412?\n\"Answer: 49930*f**2 - 164*f - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 37+586108\nAnswer: 586145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 4441927720?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.097 and -0.06?\nAnswer: 0.157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**3 - 46*d**2 + 35*d + 110. What are the prime factors of k(-35)?\nAnswer: 5, 5657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10 - -15) + (1 - 5) + (-108 - -116)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 37*r**2 - 3*r - 111. Let y be q(-37). Let g(b) be the second derivative of y + 1\/2*b**2 + 2\/3*b**4 + 0*b**3 - b. Calculate g(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 5*m**2 + 2*m. Let s be t(3). Let n = s - -13. Suppose 3*i = 4*a - 55, -2*i + n + 5 = 0. Solve 0 = 3*y - a + 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 3 (c) -199 (d) 0.2 (e) 187\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3250 - 2*h**2 - 3237 - 3*h**2 to x*h**2 + o*h + t and give t.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*n - 34 - 18. Sort n, -5, -1\/3, 3 in ascending order.\nAnswer: -5, -1\/3, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 421*y + 83*y - 1108*y - 1198*y - 410*y - 24*y.\nAnswer: -2236*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 327.\nAnswer: 1\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33725788 is divided by 705.\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 7*l**2 + 87*l + 84. Let b be r(7). Let y = 1 + 0. Solve -y = -d - 5*n - b, -4*n - 4 = d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/1173197 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one sixths of a week in minutes?\nAnswer: 52080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -3 (b) -0.4 (c) -2 (d) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2461519 is divided by 931?\nAnswer: 886","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rkkyxrdxxar. Give prob of sequence yr.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/4 or 91\/509?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + -6 - -18) + -8?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + 100\/(-26) - -2. Let t = 77 - 80. Which is the third smallest value? (a) l (b) t (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.09 - 0.09. Which is the second smallest value? (a) v (b) -1\/2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -5 + (3 + -2 + -32 - 2).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c + 1. Let g(h) = 5*h + 2. Suppose -18*r = -21*r + 18. Let k be r + 2 + 36\/(-6). Determine k*g(q) - 5*y(q).\nAnswer: -5*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.15 + -0.2. Let z = -21980\/3 + 7326. Which is the nearest to -2\/7? (a) -5 (b) r (c) z (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrsrrrrsrsrrrr. What is prob of sequence srsr?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*w - 5*w + 2*w**5 + 279 - 279 - 55*w**5 + (-2*w**3 + 2*w**3 - 2*w**5)*(2 + 2 - 6) + w**5 - 2*w**5 + 2*w**5.\nAnswer: -48*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -12784 divided by -4?\nAnswer: 3196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 75*v - 5. Determine y(2).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 11*b**3 - 37*b**2 + 14*b + 41. Let w(m) = 5*m**3 - 18*m**2 + 5*m + 20. Let n(g) = -13*w(g) + 6*x(g). Determine n(-9).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, -13, 5 in ascending order.\nAnswer: -13, -0.05, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from uvxwxwbb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 3 - 3)*(-4 - 8 + 2) + 1 + 1 - 4)*(-3 + 6*r**2 + 391*r**3 - 34*r**2 - 394*r**3).\nAnswer: -54*r**3 - 504*r**2 - 54","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*1*sqrt(28).\nAnswer: -10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5504211 divided by 1834737\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w - 3*g + 4*g - 4, 0 = -3*w - 2*g + 7 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - d + 1. Give f(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12662)\/37499)\/(((-10)\/(-35))\/2).\nAnswer: -26\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) - ((sqrt(320) - ((2 + sqrt(320) - sqrt(320)) + sqrt(320))) + sqrt(320))*-2)**2 - (sqrt(720) - 2*sqrt(720))*1.\nAnswer: -180*sqrt(5) + 2896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**3 + 2*d**3 + 5*d**3 + 0*d**3.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 301 - -1492. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1226 and 3065.\nAnswer: 6130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5073 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*o*r**4 - 149*o*r**3 + 3*o*r**2 + 453*o*r - 6*r**4 + 2*r**3 wrt r.\nAnswer: 48*o*r - 894*o - 144*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.26 + -25.84. Let b = 0.48 - -25.52. Let z = b + q. What is the second smallest value in z, 2\/5, 2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 4*v = 5, 2*v - 3*v = y. Suppose -n + 5 = 1. Sort y, n, 2 in decreasing order.\nAnswer: y, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -14. Let p(x) = -15*x**2 - 2*x**3 + 3*x**3 - 9*x**2 + 3*x**2 - 16*x - 5. Let g(u) = u**3 - u**2 - 1. Let b(v) = a*p(v) - 5*g(v). Factor b(z).\nAnswer: -4*z*(z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*t - 38*t - 204*t**2 + 34 - 10 - 6 - 13 to o*t + x + u*t**2 and give u.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/6 + 74257*k**2\/6 + 10825535*k\/6 + 394937519\/6.\nAnswer: (k + 73)**2*(k + 74111)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3146 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r - 2. Let i(f) = -f**3 - 3*f**2 - f + 3. Let y be i(-3). Suppose -2*j = -0*j - y. Suppose -j*q = 5*w - 6*q, -w = 5*q. Give k(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -16305624, -16305613, -16305602?\n\"Answer: 11*d - 16305635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (3 - -18) - (6 + 26 - -5).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g - 6*g + 5*g)*(-53*g**3 + 122362 - 122362) to v + q*g**3 + w*g**4 + t*g**2 + o*g and give w.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - 32*x + 75. Give m(-35).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - 16*c - 132. Give m(19).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -51*b - 32*b - 6244 + 3090 for b.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**5 + y**4 + 5*y**3 - 4*y**2 + 4. Let x(v) = -5*v**5 + 3*v**4 + 11*v**3 - 9*v**2 + 9. Let m(g) = 4*x(g) - 9*z(g). Factor m(k).\nAnswer: -k**3*(k - 1)*(2*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 148 - 154 = 2*w, -2*x - 5*w - 3 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -26*s**2 - 33*s - 65. Let j be y(-2). What is the closest to 5 in j, 1\/3, -0.2, -0.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - v + 7. Let c be (-3)\/5 + 6\/10. What is the units digit of r(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 12*l + 13*l = 16179, 2*l + 8102 = 2*c. Does 22 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -4*s**2 - s - 4. Let m(a) = 5*a**2 + a + 3. Suppose -4*g + g = 9. Let k(x) = g*m(x) - 4*v(x). Calculate the remainder when 18 is divided by k(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-375)\/60*24\/255.\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4332182, -8664362, -12996542?\n\"Answer: -4332180*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**2\/7 + 1558*t\/7 + 444 = 0. What is t?\nAnswer: -777, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*u + i + 46, i = u - 13. Let z = u - 15. Let h = z + 1. Solve 1 - h = -v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.701 + 1.801. Which is the closest to h? (a) 3\/2 (b) -2\/11 (c) -3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 31510, 63023, 94536, 126049, 157562?\n\"Answer: 31513*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 14 = 5, -b - 3*y - 11 = 0. Let i be 3*b\/7*-7. Suppose -i = -2*t + 4*o, -4*t + 5*t - 2 = -5*o. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -10*i + 8. Let u be p(-2). Let s = u + -29. Sort 1\/3, s, -2, -2\/17 in increasing order.\nAnswer: -2, s, -2\/17, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -428, -1796, -4060, -7208, -11228, -16108, -21836, -28400?\nAnswer: -35788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {a: 5, z: 1, b: 5, n: 4, k: 1}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 121?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 494*q - 117. Let x(v) = v. Let r(c) = 22*c - 4. Let u(j) = r(j) - 5*x(j). Calculate 4*d(s) - 117*u(s).\nAnswer: -13*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 161 + -143. Differentiate -o - 21 - s**4 + 20*s - 11*s with respect to s.\nAnswer: -4*s**3 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45 + -1 + (2 - 0) + 8.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 606?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21371 by -2104.\nAnswer: -21371\/2104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 414.544 + -420. Let v = 0.456 + w. Put v, 0.4, 3\/4, -0.7 in descending order.\nAnswer: 3\/4, 0.4, -0.7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162 = 29*u - 2*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1065318571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -5\/13, -1\/8, 1\/11, -3.\nAnswer: -3, -0.5, -5\/13, -1\/8, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3544d (base 14) in base 3?\nAnswer: 20121002012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 262 divide 2494885568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3919000 rounded to the nearest one hundred thousand?\nAnswer: -3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 27*w - 96. Calculate y(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190 = -3*y - 2*y. Let n = 57 - y. Let z be (n\/(-2))\/(1\/(-2)). Solve -w + 0*w = 5*j, 4*w + j = -z for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 338603597 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m + 47*m = 550 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gzgz. Give prob of picking 2 g.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 279.97 in increasing order.\nAnswer: -4, -3, 279.97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9410 + -9409. Put 2, -2, -99, b in decreasing order.\nAnswer: 2, b, -2, -99","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i + 48. Let h be g(15). Let f = h - 61. Suppose 4*d - 128 = -f*u, 4*d - 3*d - 5*u = 21. What are the prime factors of d?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 30 = 8*t. What is the second biggest value in 0.5, -4, t, -4\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.8854028 litres?\nAnswer: 885.4028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1939005 and 371?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 + 7*x + 18. Let q be f(-4). Let a(k) = -30*k**3 - q*k + 62*k**3 - 35*k**3. Let s(l) = -l. Calculate -a(p) + 6*s(p).\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11986*m**3 + 284*m**2 - 10*m wrt m?\nAnswer: -71916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 755872 and 30810?\nAnswer: 11338080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111100 (base 3) to base 15.\nAnswer: 4c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76 = -4*u - 4*y + 28 - 32, -5*y + 72 = 4*u for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 57, 177, 359, 603, 909, 1277?\nAnswer: 1707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 35.74 (b) -0.1 (c) 155 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 509 less than or equal to -734441?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/6 - (-7)\/(-3). Suppose r + 3 = 3*h + 4*r, 25 = -5*h + r. Suppose 0 = -0*i + 3*i + t - 7, 0 = 5*i + 2*t - 10. Sort k, i, h in descending order.\nAnswer: i, k, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by -6*114\/(-60) - (-2)\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1704 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 5:51 PM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (3 + -4 + -8 + 5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 2\/13, -3, 1, 30\/7, -68?\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**4*c**(-14)\/c*(c**20*c*c*c)\/c**6 assuming c is positive.\nAnswer: c**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 16 = 5*b, -117*t + b + 8 = -112*t. Let d(u) = -21*u + 6. Calculate d(t).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -7 + 2*d**2 + d**3 + 12*d + 2 - 11*d**2. Let r be w(8). Calculate the highest common factor of r and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 15, 0 = 2*g - s + 14 - 23. Suppose g*a = p - 1739, 0*a = -5*p + a + 8695. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 701 and 26687771?\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 16*q + 2. Let i be u(-2). Let t be (-6)\/i + (-3)\/(-60). What is the nearest to 0 in 2\/9, -1, t?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -14706 (b) -2\/41 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -450*i**2 + 224*i**2 + 233*i**2 + 639*i.\nAnswer: 7*i**2 + 639*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 55100244?\nAnswer: -55100251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 17\/60 - 8\/15. What is the third biggest value in 0, 0.2, -0.04, d?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16785\/150 - 1\/(-10). Calculate the greatest common divisor of 144 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 12:55 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5690349671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -142 divided by -57.\nAnswer: 142\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2638.5 rounded to the nearest ten?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/2*25\/(-45)*3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2656?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 57535251313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -356120*w**3 + 718231*w**3 - 358581*w**3.\nAnswer: 3530*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (123\/(-9) - 1) + 1\/(-3). Let s = g + 31. Solve -13*t - 12 = -s*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -k**4\/24 - 7*k**3\/6 - 3*k**2. What is s(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1346*b + 757*b - 1983*b - 629*b - b**3 in the form v*b**3 + l*b + c*b**2 + k and give l.\nAnswer: -3201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 3*v - 5. Let r be a(5). Let z be (5 - 38\/14) + 4\/(-14). What is the third derivative of 5*j**z - 3*j**5 + 18*j**r - 10*j**5 - 2*j**2 wrt j?\nAnswer: 300*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 divided by -1?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -355*o - 113919 = 264*o - 138679 for o.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-3\/7))**(27\/5)\/(c*c**(-2\/3))**(-50))**(9\/4) assuming c is positive.\nAnswer: c**(4521\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 2, -123, 2\/21?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 3*b = 145, -164*b + 156*b - 350 = -5*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -h**3\/6 + 17*h**2\/2 + h. Let r(o) = -o - 3. Let g be r(-3). Let n be f(g). Solve 5*b + 8 = -n for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34\/(-56) - 156\/(-208))*7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-171*l**2 + 491*l**2 + 440*l**2 + 304*l**2)*((l - 2*l + 0*l)*(-3 + 3 + 3) - 2 + l + 2).\nAnswer: -2128*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1641*i**3 - 1847 with respect to i.\nAnswer: 4923*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g - 18. Let r(v) = -2*v - 19. Let i(u) = 4*k(u) - 5*r(u). Let x be i(5). Suppose -2*s + 4 = 2*z, s = 4*z - 4*s - x. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 41*w - 83. What is b(38)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 920.94 + -912. Let q = 0.06 + k. Let j = 5 - q. Which is the second biggest value? (a) j (b) -5 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in 2\/25, -0.13, 5?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*j**3*x**2 - 454963*j**3 + 2*j*x**2 - 37*x**2 + 1780*x wrt j.\nAnswer: 24*j*x**2 - 2729778*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -26*k**2 + 204*k + 34. Let o(v) = -9*v**2 + 72*v + 12. Let c(w) = 6*l(w) - 17*o(w). Let a(g) = -5*g - 66. Determine a(c(y)).\nAnswer: 15*y**2 - 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -9) + 3 + -11.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 - 10. Let y be (-51 - 1)\/((-4)\/6). What are the prime factors of y\/4*12\/b?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + 1)*(-8)\/(-3). Let a(q) = -q**3 - 3*q**2 - 4*q + 1. Let i(k) = -8*k**2 - 123*k**3 - 196*k**3 - 7*k + 3 - 4*k + 316*k**3. Determine s*a(r) - 3*i(r).\nAnswer: r**3 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = c - 13, 15 = 64*c - 59*c for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*m = -17*m - 1339 - 2046 + 590 for m.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2 - -6 - (-2 - 38\/6*5757)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4971 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of -j**3\/6 + 3*j**2\/2 + 3*j. Suppose -3*t - 16 = -7*t. Calculate the remainder when c(-7) is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 3 (b) -19552 (c) -2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1149490, 2299036, 3448592, 4598164, 5747758, 6897380?\n\"Answer: u**3 - u**2 + 1149542*u - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -t**4\/24 + 11*t**2. Let h(k) = -264*k**2 + 16*k. Let z(j) = 53*j**2 - 3*j. Let q(p) = 3*h(p) + 16*z(p). Determine q(d(o)).\nAnswer: 56*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 10848*k - 10 = 10849*k, 4*s = -s + 5*k + 40 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**2. Let g(d) = -9*d - 4. Let c(w) = -208*w - 91. Let a(u) = -4*c(u) + 91*g(u). What is a(p(s))?\nAnswer: 26*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1422 - -1615?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 9 = 3. Calculate the least common multiple of 4 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0968 and 336?\nAnswer: 32.5248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 4*w = 91 + 297, o + 2*w = 101. Suppose -3*d + 4*r + 420 = 0, 2*r + o - 513 = -3*d. Is 28 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d**2. Let a(b) = -65*b**2. Give -4*a(s) - 90*x(s).\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-18) + (-5208)\/(-216). Let w be (-124)\/(-24) + (-4)\/l. Suppose -2*o + w*y + 2783 = 0, 2*y + 2792 = -o + 3*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15421 (base 9) to base 5.\nAnswer: -314144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -s**3\/3 + 9*s**2\/2 + 6*s - 2. Let r = -25 + 34. Let b be x(r). Let v(p) = p**2 - 7*p + 7. Calculate v(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m = -7*m - 2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 2*o**2 + 2*o - 2. Let t be r(2). Let i be (-48)\/t - -15*4\/(-20). Which is the nearest to -0.1? (a) 2 (b) i (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r + 7*r + 27*r - 45*r + 6*r - 144*r**2.\nAnswer: -144*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5909 - 1576?\nAnswer: 4343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 1244?\nAnswer: -2488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*z - 42*z + 84*z = -11*b - 37, -4*b - 13 = -z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50 + -23. Calculate the remainder when 107 is divided by h.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 9:59 AM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2*m + 20 = 0. Suppose 0 = -3*n + 2*n - 5*u + 25, -m*n = -5*u - 75. Suppose -5*x - n = -10*x. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -913 + 2832*l + 913 + 11930*l to the form d + g*l and give g.\nAnswer: 14762","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**2 - 2*d - 6. Let a be 2\/(-5) + (-28)\/(-20). Let t = -29 + 18. Let r(i) = -1. Let v(j) = 6. Let m(l) = t*r(l) - 2*v(l). What is a*o(c) - 5*m(c)?\nAnswer: 2*c**2 - 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -6. Suppose -38 = n*y - 4*y. Suppose 2*b + 3 = -3, -b - 402 = -3*x. What is the highest common divisor of x and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 16 - 6*z - 4 - 9. Let t(u) = 6*u - 2. Give 2*l(i) + 3*t(i).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 526, 521, 504, 469, 410, 321?\nAnswer: 196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, w: 4, l: 2, q: 3, h: 2, z: 2}. What is prob of sequence hhpz?\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 2*u + 3. Let n be (0 - -3)\/((-24)\/16). Calculate the remainder when 26 is divided by o(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 132752558 and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 154674337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 2*z + 319. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mml when three letters picked without replacement from {d: 2, l: 3, m: 10}.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11550503 (base 6) to base 7.\nAnswer: 3106641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 5*m - 12, -6*m + 18 = 2*b - 2*m. Let q(t) = -t**2 - 2*t + 7. Let k(w) = -3*w**2 - 7*w + 22. Determine b*q(c) - 2*k(c).\nAnswer: -c**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.26 - -0.84. Let t = j + -1.6. Which is the closest to 2\/5? (a) t (b) 0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 560719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4*t - 17. Let d be z(23). Let k = d - 61. Suppose k*q = 11*q + 6. Solve -r = q*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20\/(-2)*(-1)\/2. Let z = -10 + 5. Let m(c) = 3*c**2 - 2*c + 1. Let o be m(1). Sort n, o, z in decreasing order.\nAnswer: n, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*h - 26331 = -5*l - 26402, 0 = 5*l + 2*h + 11 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 5*t + 4685, -3*v + 14*t = 15*t - 2819. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 2 = 4*h - 61, 3*f - 49 = h. List the prime factors of 2\/5 - (-249)\/f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 17 = 49. Let d = i - -3. What is the remainder when 47 is divided by d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 48\/40)*(-65)\/(-442).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 111 and 12?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9566 or 9697?\nAnswer: 9566","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -19*o**2 - 2. Let z be (-775)\/(-155)*(-1)\/2*2. Let t(w) = 20*w**2 + 2. What is z*r(i) - 4*t(i)?\nAnswer: 15*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**2 - 208*c**3 + 0*c**2 + 0*c**2 + 432*c**3 - 11*c**4 - c - 226*c**3 to a*c + p + i*c**2 + x*c**4 + o*c**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 5*b**3 - 68*b**2 - 18*b + 15. What are the prime factors of k(14)?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000017078 rounded to seven dps?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -9*p**2 - 21*p - 12. Let j(d) = 5*d**2 + 11*d + 6. Let t(z) = -6*a(z) - 11*j(z). Factor t(i).\nAnswer: -(i - 6)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12.2 * -340\nAnswer: -4148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 b when four letters picked without replacement from lllrbxbbbbrlr?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + t - 19235 = 0, 0*t - 5*t - 19205 = -3*c. What is the thousands digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/14 + (10 - 256\/14) - -7. Put -76, p, -30 in decreasing order.\nAnswer: p, -30, -76","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 2, 6*i - 3*t = 10*i + 93. Let q(u) = 5*u + 125. Let n be q(i). Solve a = 5*k - a + 6, 9 = n*k + 3*a for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1225715677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 13*s**2 - 3*s - 185. Determine d(14).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 1 = -37. Let p be 1 + 2\/(-6)*45\/(-15). List the prime factors of (186\/z)\/(p\/9).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.1 + -1. Suppose -5*j + 35 = -2*n, 3*j + 31 = 2*n + 48. Are j and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.38 in 3, -1, 0.5, -1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -664116*g - 618616?\nAnswer: -664116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 41.\nAnswer: -4\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -7. Let u = t + -6.9996. Round u to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 3*z + z)*(-6*z - 2*z - 3*z)*(-z**2 - 15*z**2 - 8*z**2).\nAnswer: 528*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*i + 150 = 48 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -153, -167, -181?\n\"Answer: -14*z - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 503617\/24 - 20979. Let q = 14\/3 - i. What is the smallest value in q, -0.5, -3, 0.04?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)*-1*-1)\/(3*sqrt(360)).\nAnswer: sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -45*t - 12*t + 386 - 1469 for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3763 and 5459.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 4*s - 5 = -4*g, 0 = 5*g + 3*s - 40. Let v be 1\/(-3 - -2)*g. Let n(m) = -m**3 - 4*m**2 + 6*m - 5. Determine n(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3895558973?\nAnswer: 3895558973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, i: 10, e: 3, a: 5}. Give prob of sequence eaae.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/22*261\/(-348).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(513) - 2*(sqrt(513) + sqrt(513)*2 - sqrt(513)))\/sqrt(9))\/((sqrt(108)\/sqrt(4) - sqrt(3)) + sqrt(3) + (sqrt(363) - sqrt(363)*2)) + 1.\nAnswer: 1 + 3*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.075, -143, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14596?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 4*h = -680 + 2825, -2*h = -4*b + 2882. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19949 is divided by 20.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 80028, 320120, 720286, 1280526, 2000840, 2881228, 3921690?\n\"Answer: 80037*j**2 - 19*j + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 24*k - 144. Let n be i(6). Let c(p) = p**2 + p + 5. Calculate c(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) -0.7 (c) 0 (d) -0.067\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, c: 2, m: 1, x: 2}. What is prob of picking 1 x and 1 v?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-35)*31800\/5565\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002655 rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by 530\nAnswer: 6\/265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppop when four letters picked without replacement from {p: 6, o: 6}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 124 + -11 + -94 + 122 + 3 + -13 + -3.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 121 + -41?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 46*m**4 + 40*m**2 + 10. Let o(t) = 15*t**4 + 13*t**2 + 3. Let l(w) = -3*h(w) + 10*o(w). What is the third derivative of l(p) wrt p?\nAnswer: 288*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 0*g - g - 14 + 2*g. Let a be t(7). What are the prime factors of -1*(a + -1) + -2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4541 and 8560430.3.\nAnswer: 8564971.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 31367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*p**2*q + 189*p**2 + 1951*p*q - 88026004*q wrt p.\nAnswer: -10*p*q + 378*p + 1951*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**0*a\/(a\/(a**(-2)*a)))**(-50) assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 263347, 526380, 789411, 1052440, 1315467?\nAnswer: 1578492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -9057c?\nAnswer: -90578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -13*l**5\/12 + l**4\/12 - 23*l**3\/6 + l**2 - 8*l. Find the first derivative of p(n) wrt n.\nAnswer: -130*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.01, 6\/11, -2?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/14 + (-10)\/(-35). Suppose 0*g - 2*g - 4 = 0. What are the prime factors of g*(f + -4) - -2?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(175) + -2 - sqrt(175))*-5)**2 + 1 + 1).\nAnswer: -306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 151357 + -95856. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 830693?\nAnswer: 830693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k - 8. Let a be (2 - 0\/3) + -8. Let u be q(a). Let j(i) = -i**3 + 4*i**2 + i + 3. What is the units digit of j(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 114 = -0*f. Let x be ((-1)\/2)\/(3\/(-78)). Let i = f + x. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3 + 2664*u**2 - 788535*u + 77800350.\nAnswer: -3*(u - 298)*(u - 295)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide (-4 + 1020\/18)*(-30)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*f, 4 = -3*s + 2*s + 4*f. Solve -s = -0*x - 4*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 7*b**2 - 6*b - 5. Let c(h) be the third derivative of h**6\/120 + 2*h**5\/15 + 7*h**4\/24 + h**3 + 6*h**2. Calculate 5*c(x) + 6*u(x).\nAnswer: -x**3 - 2*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 477757?\nAnswer: 7, 131, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 15 = 0, g = 5*z - 26 + 3. Let w(u) = u**3 + 4*u**2 + 3*u + 3. Let n be w(-2). Solve n = -z*j + 21 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -2*s**3\/5 - 12486*s**2\/5 - 24958*s\/5 + 37446\/5 = 0.\nAnswer: -6241, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 11*l - 32. Calculate the least common multiple of v(-14) and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4384 a factor of 35945339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of l**3\/6 + l**2\/2 - 2*l + 20. Calculate u(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -36, -1, -93 in decreasing order.\nAnswer: 3, -1, -36, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 5\/3, -195 in descending order.\nAnswer: 5\/3, 1\/4, -195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -105824173 divided by 34937\nAnswer: -3029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42653 and 53539551.\nAnswer: 2509","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 greater than or equal to 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2301, -4601, -6901, -9201?\n\"Answer: -2300*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.816 rounded to 0 dps?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.112 (b) -3 (c) 3 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 42, 0.6816 in descending order.\nAnswer: 42, 24, 0.6816","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -16859, -33717, -50575, -67433?\n\"Answer: -16858*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**5\/7 - 40*z**4\/7 - 192*z**3\/7 - 352*z**2\/7 - 32*z = 0. Calculate z.\nAnswer: -14, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 181 - 49. Let q = 254 - s. Calculate the remainder when q is divided by 46.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*1*sqrt(17))**2 + sqrt(17) + ((1*sqrt(204))\/sqrt(12))**2)*-1.\nAnswer: -289 - sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 639539103?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 148728288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-147)\/420*-19*(-1725)\/6118.\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0.3 (b) 5 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - 2. Let b be (1\/u)\/((-3)\/18). What is the second derivative of b*a - 4*a + 0*a - 2*a**2 wrt a?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3283 is divided by 43.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -975 + (-4 + 6 - -2). Let c = -1362 - g. Let f = c + 1194. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u + 8*u - 17*u - 17*u**2 + 4*u to the form g*u + m + y*u**2 and give y.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0063865 rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 260 smaller than 180173\/691?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -1617230 to the nearest 10000.\nAnswer: -1620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -855?\nAnswer: 851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*r + t, -2*r - 62 = -7*r - 3*t. Let i be 1\/(-2 - -1) + r. Let a be (3 - 6) + -1 + 13. Calculate the greatest common divisor of a and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1753000841?\nAnswer: 24733, 70877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 116 - 140. Calculate the remainder when (((-304)\/k)\/(-2))\/((-1)\/9) is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 132*m**2 - 4*m - 7. Let n be y(-5). Suppose n + 411 = 4*i. Let u = i - 500. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, n: 5, i: 7}. What is prob of picking 2 o and 2 n?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -42.768 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -3, 6, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2295 or -2294?\nAnswer: -2294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -85 - -88. Suppose -3*c - 3*a = -147, a - 233 = -2*c - n*c. Let m = -1 + 24. Calculate the highest common factor of m and c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 14*l**2 + 13*l + 35. Let r be (1\/((-1)\/(-1)))\/(17\/(-204)). What is the units digit of c(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 8.11. Let u = -0.38 - o. Is -1 > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -753 + 1445\/2. What is the common denominator of (-1)\/((-34)\/850) + 2\/8 + 0 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**4\/((l*l*l**(-2\/3))\/l)*(l*(l*l**(-1)*l)\/l)\/((l**0*l)\/l))**12 assuming l is positive.\nAnswer: l**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t - t - t + (-13 + 10 + 12)*(-t - 3*t + 3*t)*(4 - 2 - 3).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 453 less than or equal to 453?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 26, 48, 70, 92?\n\"Answer: 22*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 0.3 (c) 0.01187\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 342512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 460\/20*2\/1*(-132)\/264\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 106414 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: Solve 0 = 3*x - 4*a + 21 - 26, -5*a = 5*x - 20 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 26*c**2 - 32*c + 177. Let m be n(25). Solve -2*g - 2*a = -m, -5*g + 62 = -2*a + 29 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 7:39 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 65485201 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: Put -0.4, 40, -5, -1109, 0, 5 in decreasing order.\nAnswer: 40, 5, 0, -0.4, -5, -1109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -14008.201 rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*r + 15 - 35 = 0. Is 1\/2815 less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3245*t - 9474. Let m be i(-15). Round m to the nearest 1000.\nAnswer: 39000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 - 21. Suppose -u*j + 48 = -8. Is j a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 95204, 190363, 285552, 380771, 476020, 571299, 666608?\nAnswer: 761947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven halves of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 9*x**2 - 4*x - 2. Let i be r(-5). Let a be (-4 + (-21)\/(-6))\/((-3)\/324). Suppose 0*z - a = -2*z. What is the highest common divisor of i and z?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 81 and 189.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(32\/6))\/(6\/16)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 44, 96713 in descending order.\nAnswer: 96713, 44, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1849416 divided by -924708\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence looo when four letters picked without replacement from {l: 2, o: 9}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, o: 1, g: 5, k: 1, t: 2, q: 2}. Give prob of sequence koq.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*l + 10*l - 60. Let s(y) = -237*y**3 + 10*y**2 + y + 10. Let a be s(l). Round a to the nearest ten thousand.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1145648*1\nAnswer: 1145648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 137? (a) 3\/2 (b) -2\/3 (c) 3\/8 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1.2, -17.432, 17?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - 5) + ((2264\/(-221))\/(-2) - -2). Which is smaller: j or 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 5*m - 3. Let c(d) be the third derivative of 7\/6*d**3 + 0*d - 11\/24*d**4 + 39 - d**2. What is 2*c(n) + 5*t(n)?\nAnswer: 3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 665.13 (b) 0 (c) -4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 4*s**2 + s + 0 - 58*s to the form d*s + v*s**2 + n and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**8*(z*z**(-3\/4))\/z)\/(z\/((z\/(z*z*z*z\/(z\/z**(-1))))\/z))**(-18\/13))\/((z*z**(1\/4))**10*z**(-9)*z**(-2\/7)) assuming z is positive.\nAnswer: z**(2981\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -15 - (-117 - -91)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*p + 12 + 17*p + 18*p + 21*p.\nAnswer: 5*p + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of p**7\/840 + p**6\/360 - p**3\/3 + 2*p**2. Let m(b) be the first derivative of g(b). Factor m(i).\nAnswer: i**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 12:10 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*1*2\/2. Suppose -3*y = -5*y + v*b + 3992, -y = 2*b - 2004. What is y rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -387 in decreasing order.\nAnswer: 3, 2, -387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.99 + 0.01. Let m(y) = -y + 5. Suppose 7*s + 4*i - 8 = 3*s, 0 = 2*s + i - 7. Let a be m(s). What is the nearest to a in p, -0.4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 351494.89 rounded to the nearest ten thousand?\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 e when two letters picked without replacement from {l: 5, e: 8, f: 7}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, -0.37, -2\/9, 97, 0 in descending order.\nAnswer: 97, 0, -2\/9, -0.37, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.61 * 0.4490573\nAnswer: 0.273924953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 19\/126*-1 + 1730\/18165. Sort 0.5, -8, p.\nAnswer: -8, p, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6043969\/371 - -16291. Let q = -38261\/2226 - x. Find the common denominator of -89\/6 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2501906.8 rounded to the nearest 10000?\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -11545000 to the nearest 100000.\nAnswer: -11500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -79 + -67?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.067011314*22.\nAnswer: -1.474248908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(4)\/sqrt(2) + (sqrt(64)\/sqrt(2) - sqrt(32)) - sqrt(8)\/sqrt(144))*5.\nAnswer: -65*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97673027.\nAnswer: 97673027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 5 - (-11 - (1 - 1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000963933 rounded to 5 dps?\nAnswer: -0.00096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -10 - 2. Let y = b - 6. Sort y, 2, 3.\nAnswer: y, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -x**6\/10 - 5*x**3\/6 + 12*x**2 - 3*x + 2. What is the derivative of i(q) wrt q?\nAnswer: -12*q**3 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2) + 0)*6 - (sqrt(2) - sqrt(2)*-1)*2 - (sqrt(162) + 4))*3)**2.\nAnswer: 504*sqrt(2) + 1026","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1\/((-123)\/90)*(-868)\/310?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 22?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.5 + -35.5. Let u = b - -23. Let s = u - -15.999812. Round s to five dps.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/191254 and -52\/25165.\nAnswer: 956270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.9 - -1228.\nAnswer: 1233.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/20397250 and 35\/4324217.\nAnswer: 1081054250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -18*h + 1153. Let c be i(63). Solve 70 = -17*s + c for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p + 6. Let r be t(-14). Solve -j = 7*g - 2*g + 20, -r = -5*j + 5*g for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -2 + (-2 + 3 - 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 31233574.\nAnswer: -93700722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -4248 < -4251?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 160010592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 5, -12 in decreasing order.\nAnswer: 5, -1, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.722 + 0.078. Let o = a + -0.9. Which is greater: o or -19?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/7 or 406?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10448742*3.\nAnswer: -31346226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -1\/8*i**4 + 0*i**2 + 13 + 1\/9*i**3 + 0*i + 1\/30*i**5. Factor u(k).\nAnswer: k**2*(k - 2)*(k - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - 790*s + 131690. Give w(239).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of t**4 - 12*t**3 + 100*t + 273?\nAnswer: 4*t**3 - 36*t**2 + 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -2021?\nAnswer: -2110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 7*w**2 - 9*w - 5. What is the remainder when 36 is divided by n(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.301 times 105?\nAnswer: -31.605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 8:10 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -819 + 55 = 49*d + 461 for d.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-88)\/(-20))\/((-2)\/(-5)). Solve -b*q = -6*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - (-46)\/(-4))\/((-11)\/220). What is the highest common factor of 10 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30420365 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2017624711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10\/7, -4, -0.04 in increasing order.\nAnswer: -4, -10\/7, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 428320 divided by -3?\nAnswer: -428320\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 1:33 PM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 21 = 15. Solve -7 = -j - 4*m, 2*j + 14 = -i*j + 5*m for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 75598*i**4 + 3*i**3 - 9652*i - 21 wrt i?\nAnswer: 907176*i**2 + 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + g + 14. Suppose 0 = g*p - 9*p. Let f = 14146\/413 - 240\/7. Which is smaller: p or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -v**5\/60 + v**4\/8 - v**3\/3 - 14*v**2 - 39. Let z(c) be the second derivative of b(c). Factor z(h).\nAnswer: -(h - 2)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6310018\/117*(-171)\/(-38) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 494483?\nAnswer: 1977932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -16*x**2 + x. Let z be q(1). Let s = z - -42. Suppose -s = -h + 4*j, h + 5 = -3*j + 11. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1*(2*sqrt(76)*-1)\/sqrt(4))**2.\nAnswer: -20*sqrt(19) + 101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 70, 137, 204, 271, 338?\n\"Answer: 67*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence psv when three letters picked without replacement from {v: 2, p: 2, q: 1, s: 8}.\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 204421157?\nAnswer: -204421152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnbh when four letters picked without replacement from {f: 1, n: 2, b: 4, h: 2}.\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 2\/17, 0, 224, 3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 4. Find the second derivative of -n**4 + 2*n**4 + w*n + 5*n**4 + 10*n wrt n.\nAnswer: 72*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6568 - -4637?\nAnswer: 11205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -2*p**3\/9 + 29*p**2 - 168*p - 1675. Solve i(b) = 0.\nAnswer: 3, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*y - 5*h - 19, 3*h = -15. Solve y*p = -3*p - 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-26) - 148\/(-52))*1. Solve 12 = -j*k - 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -s - 2*s**3 + s + (10 + 2*s - 10)*(4 + 3*s**2 - 4) + 5*s**3 - 2*s**3 - s**3 as t*s**3 + b + o*s + v*s**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - 37*r - 33. Suppose -1 = u, 5*m + 3*u = -0*m - 103. Is d(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - 3 + 3)*(-5*s + 3*s + 3*s) - 62 - s - 165*s**2 + 43 + 20.\nAnswer: -166*s**2 - s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60.23986 kilometers to millimeters.\nAnswer: 60239860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -9.9 (b) 1363 (c) 3\/4 (d) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2c0 (base 13) to base 8.\nAnswer: -756","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 11*f**2 + 10*f. Let z be k(-10). Suppose z*p = -3*p + 9. Suppose -v - 2*i - 77 = -2*v, -2*v - p*i = -147. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -68, -281, -494, -707?\n\"Answer: -213*d + 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27.79999849 + -27.8. What is q rounded to seven decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, x: 3, v: 2}. Give prob of sequence xee.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 371 = -14*b + 1015. Suppose -b*y + 16*y = -19320. Is y a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140395.\nAnswer: 5, 43, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1\/8)\/(s\/(s*(s*s**(-48))\/s*s))*((s*s**(-25))\/s)**(-3\/23) assuming s is positive.\nAnswer: s**(-8071\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 248204 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4319.263nm in kilometers?\nAnswer: 0.000000004319263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6005968?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111001001001000010 (base 2) to base 10.\nAnswer: -496194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 15 = 2*d, -2*h + 6 + 12 = 4*d. Suppose -4 = m, -3*m + 1 + 7 = d*u. Solve u*o = c + 3, -3*c + 9 = -4*o + o for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -425.5 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -12978*i. Let s(r) = r**2. Determine s(w(q)).\nAnswer: 168428484*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-446 - -353) + (57 - 1).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4802*m**2\/3 - 9408*m - 13824.\nAnswer: -2*(49*m + 144)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 + 20 = 7*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6116051*f*g**3 - 3*f*g**2 - 47*f*g - 51*f + 130*g wrt g?\nAnswer: 36696306*f*g - 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -36*m**2 + 2266*m + 135. What is s(63)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -p**5\/4 - 5*p**3\/3 - 7*p. Find the second derivative of s(x) wrt x.\nAnswer: -30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 7. Suppose w + n = 4*r, -2*r - 6 + 0 = -2*w. Solve 4*x - 4*j = 0, w*x - 2*x + 5*j = 30 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 796 - 751. Solve -z + 12 = 11*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 30293 (b) -561 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 161152*w + 1289219. What is k(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**2 - 2*k - 7. Let o be v(7). Let z = 144 - o. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/5*(45\/(-54))\/((477\/450)\/53)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 30*r**2 + 35*r - 347. What is the thousands digit of i(39)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three fifths of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4 - 2.1. Let p = 4.7 + w. Is 0 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 6*s**2 - 10*s + 6. Give d(3).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 179? (a) 2 (b) 1 (c) -3\/5 (d) -32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 1 - 11*n - 2 + 0*n.\nAnswer: -11*n + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -41912 + 41912 - 49*i. Let k(y) = -7*y + 3. Let v(w) = 10*w - 4. Let h(n) = -4*k(n) - 3*v(n). Determine q(h(o)).\nAnswer: 98*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -1) + -4 - -7 - 19 - 2?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wff when three letters picked without replacement from nwwfnnna.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (256 + -118 - 167) + -2 + 84\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 12*r**2 - r + 1. Let h = 9 - -26. Let g be (-8)\/(-36) + h\/45. Give d(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (3 + -4 + 11).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 31\/2 of a hour?\nAnswer: 55800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 898.631cm in nanometers?\nAnswer: 8986310000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/476 and -17\/2225216?\nAnswer: 37828672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1403\/7 - -43507\/217. What is the smallest value in 3\/4, 0.03, -5, d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -835*s**3 + 414*s**3 + 417*s**3.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3995401 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 4*n + 13 + 22 = 0, -6 = -3*w + 3*n for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1960236, -1960270, -1960306, -1960344?\n\"Answer: -s**2 - 31*s - 1960204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/(-10))\/(195066\/(-60)). Let g = -1441417\/260088 + m. Find the common denominator of g and -21\/5.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1000506760 + 5?\nAnswer: 1000506765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(24)\/(sqrt(4)\/sqrt(2))))**2 + 5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.33 - 2.73. Which is the nearest to 2? (a) l (b) 0.3 (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4328 = i, 3*z + 57 = 51. What is the thousands digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 take away -3.2665445664?\nAnswer: 484.2665445664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 37299?\nAnswer: -37299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1746110 and -38.\nAnswer: -66352180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -5*l**4\/12 + l**3\/6 + l**2\/2 + 19*l. Calculate f(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50\/(-105) + (240\/84)\/5?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15161 - 15163 + 4*f**3 + 30324.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u + 4*u - 5*u)*(u**2 - 2*u**2 + 2*u**2)*(312 + 241 - 207 + (-1 + 6 - 3)*(-1 + 2 + 1)).\nAnswer: 700*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 + -26.87. Let y = 1624883 - 1624883.1299937. Let u = q + y. What is u rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 3, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/5 - 55436*r**2\/5 - 387954*r\/5.\nAnswer: -2*r*(r + 7)*(r + 27711)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6834*s**2 + 19004*s wrt s?\nAnswer: -13668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(117)*-2 - sqrt(117) - sqrt(117))*-1 - sqrt(117) - sqrt(117) - 3*-2*sqrt(117)))\/((sqrt(324) - (-2*-3*sqrt(324) + sqrt(324)))*-5).\nAnswer: -2*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 887*k**2 + 141*k - 21. List the prime factors of l(3).\nAnswer: 3, 5, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -0.3, -10562, -0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19049615 divided by 7?\nAnswer: 19049615\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4485.99866 and 2.1.\nAnswer: 4488.09866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -v - 4*v. Let k be 12\/42*7 - 3*-6. Let z = v + k. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 117*m**2 + 2926 - 1464 - 1455 - 297*m**2)*(m - m + m).\nAnswer: -414*m**3 + m**2 + 7*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f + 15. Let a(l) = 3*l + 32. Give -6*a(b) + 13*w(b).\nAnswer: -5*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2599, -5183, -7767, -10351?\nAnswer: -12935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 31 = -5*a, -3*t = -t + 8. Let l be 4\/3 + (-1)\/a. Is (5*2)\/l + 0 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + -3 + (2 + (2*sqrt(68))**2 - -2*sqrt(1088)*-2)).\nAnswer: -128*sqrt(17) + 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 1. Let k be 14 - -1*(-1 - -2). Let c be (-7)\/(-1) - (k + -10). Let i(y) = -y**2 - y + 3. What is c*r(v) + i(v)?\nAnswer: v**2 - v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 72*s + 362. Let c be i(-5). Solve -c*g + 4*q = 18, -g + 4 - 28 = -5*q for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19799 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 23435310 a multiple of 254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -7. Let g(l) = -19*l + 484. Let r be g(26). Let o = r - c. Is -6 > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 10467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 232176176 a multiple of 220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-3) - 4\/6. Let q be (2\/(-5))\/(((-88)\/(-5))\/8). Put -2, q, n in descending order.\nAnswer: n, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, z: 1, h: 2}. Give prob of picking 2 s.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -43 - 0 - ((2 - 14 - (-9 + 3)) + 0)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13725)\/6100*2\/42.\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaoohohaootooeootho. What is prob of sequence ao?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 4:23 AM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 596334295 to the power of 1\/2, to the nearest integer?\nAnswer: 24420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00016128 rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 6*y - 54, -23*y = -24*y + 3 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ygiigbi. Give prob of picking 3 i and 1 g.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*b + 0*b + 2*b)*(-2*b + b + 7*b)*(-20*b**2 - 26*b**2 + 16*b**2).\nAnswer: 900*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 517960\/33 and 15695 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/5)\/((-8)\/(-40)). Suppose 5*t = 2*t + 12, 4*t - 10 = b. Let r(m) = m - 1. Let w be r(b). Put -1, 4, z, w in ascending order.\nAnswer: -1, z, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -742262 at least as big as -742315?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, u: 4, o: 2, v: 10}. Give prob of picking 1 o and 1 v.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1400)\/(-196)*-7 + 81?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -7 (b) 3 (c) -0.8 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 423 - 399. Solve 18 = 30*n - r*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 2 x, and 1 o when four letters picked without replacement from {g: 1, z: 5, x: 6, t: 5, o: 2}.\nAnswer: 25\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 3*q**4 - 87*q**3\/7 + 117*q**2\/7 - 57*q\/7 + 6\/7 = 0.\nAnswer: 1\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, n: 17}. Give prob of sequence nc.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sdj when three letters picked without replacement from {w: 2, d: 2, g: 1, j: 1, s: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -5, 2\/7, -7, 0, 1\/123?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2554756826?\nAnswer: 2, 79, 193, 199, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 0*f - 2*f = -886, 2 = -f. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23564 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1040534 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/2882 and -32\/231?\nAnswer: 60522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 169\/86721?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*0.292493714.\nAnswer: 0.877481142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 40*i - 25432. List the prime factors of i.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 1 - 3 - 11*v**2 + 29*v**2 - v**3 - 12*v**2 + 3*v. Suppose 0 = 2*p - 2, 4*d + 5*p = 24 + 1. What is k(d)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-2*sqrt(143) + sqrt(143) + sqrt(143) - (sqrt(143) - (2*sqrt(143) + sqrt(143) - sqrt(143))*3))\/(sqrt(396)\/(sqrt(9)*-2 - sqrt(9))) + 4)*6.\nAnswer: -99*sqrt(13) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167034086?\nAnswer: 2, 151, 553093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w + 250 = -65. Let g = -174 - w. Let p = -52 - g. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from immmmhimhmhhmh. What is prob of sequence ii?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/(-3))\/((-1)\/3). Let y = b - -12. What is the derivative of -y*z + 2 + 0*z + 3*z wrt z?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.1, -14, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 922*t**2 + 1 + 1 + 6*t - 921*t**2. Let u be -2 + -4 + (-7 - -11). Let g(b) = 2*b**3 + 3*b**2 + 3*b + 5. Let a be g(u). What is d(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1833722?\nAnswer: 2, 11, 17, 4903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -10*h**3 + 8*h**2 + 2*h + 12. Let g(t) = -3*t**3 + t**2 + t**2 - t + 7*t**3 - 5 - 5*t**2. Let o(d) = 12*g(d) + 5*l(d). Factor o(p).\nAnswer: -2*p*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 8.495. Round y to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63660, -254586, -572782, -1018248, -1590984, -2290990?\nAnswer: -3118266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 3. Let g = v - -2. What is the second derivative of g*h**2 - 3*h**2 + 2*h**4 - 2*h wrt h?\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddqvqqvqcdqdq. What is prob of picking 1 d and 1 q?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 1:15 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/3 - 3360*o**2 - 4247008*o - 101284096\/3.\nAnswer: -2*(o + 8)*(o + 2516)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -558*n + 23493 + 12219. Suppose -5*h + 226 = -14. What is the highest common divisor of n and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/7))**0*(x**(-9)\/x)\/((x*x\/x**(-3))\/x*x) assuming x is positive.\nAnswer: x**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/((u**2*u)\/u))\/u)**(-10)\/(u**14\/(u\/u**16)) assuming u is positive.\nAnswer: u**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-200)\/80*4\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20221111 (base 3) to base 14.\nAnswer: 1bb8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -17*u**2\/2 - 80. Let m(v) = -23*v**2 - 1. Determine k(m(o)).\nAnswer: 391*o**2 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 7169 (base 10) to base 12\nAnswer: 4195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5412 a multiple of 246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 181 - 0 - (-49 + 46). Suppose j - 5*j - 5*i + 383 = 0, -2*j + r = 4*i. Is j a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111330103020 (base 4) to base 8\nAnswer: 25742310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 3:47 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -4. Let v = -4.2 + d. Let x = v + -0.7999985. Round x to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - (2*64 - -1). Let c = x + 206. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 2*r + 0)*(-5 + 2*r + 5 + (-557*r - 7*r + 1057*r)*(-2 + 0 + 1)) to q*r + h + s*r**2 and give s.\nAnswer: -982","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1173 and 46?\nAnswer: 2346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -107, -88, -3, 1, -1, -5 in decreasing order.\nAnswer: 1, -1, -3, -5, -88, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**2 + 83*o + 90*o - 42*o - 131*o.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t - 17. Let n be j(-9). Let k = -0.06 + -3.94. Which is the closest to n? (a) -2\/7 (b) 6\/5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 4 - 12 = 0. Suppose 9*i - o*i = 1070. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -7*j - 15. What is the remainder when m(-10) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 193 in 2\/47, 0, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 24\/21731845 and 85\/78234642.\nAnswer: 391173210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**2 - 28*j + 6. Let w be r(12). Let q = w - -47. Solve -d - 23 = -0*d - 4*p, -3*d + q*p - 34 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3680065009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wcw when three letters picked without replacement from {p: 1, w: 6, c: 4}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6733442647?\nAnswer: 6733442647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 853521 divided by -3?\nAnswer: -284507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j + 53 = 86 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -69 - 5418786?\nAnswer: -5418855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3743 = 413*c - 37144. Solve 0 = -c*s + 116*s - 153 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -16. Suppose 22 - 8 = -d. List the prime factors of (5\/i + 0)*d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 31 = 2*g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b7 - 9aad?\nAnswer: -9b75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -2*x - 24, 19*j + 2*x + 32 = 14*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1015*t - 7990 = 545*t for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*a**3 + 4*a**3 + a**3)*(145021 + 4*a - 8*a - 144317) as d + s*a + l*a**2 + g*a**3 + n*a**4 and give g.\nAnswer: 2112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -5*m + 238, s + 2*m - 80 = -0*s. What is the greatest common divisor of s and 114?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/10 + (-6)\/(-15). Suppose 0 = 2*r - 10 - d. Let o(n) = -n**3 - 2*n**2 + n + 4. Let z be o(0). Solve h + z = r*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309 is divided by 82.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-4) + (-110)\/(-8). Let f(v) = -10*v - 28. Let w be f(-8). Suppose -w = -c + r. Calculate the greatest common divisor of 6 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (34 - 19 - 6)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g - 19*g = -140. Solve -g*j + 4*i + 3 = 0, 0 = j + 5*i - 3*i + 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -7*t - 11. Let l(c) = 3*c + 6. Let v(o) = 5*l(o) + 2*u(o). Let d be v(-4). Solve 5*n - 36 = 4*z, -n + 3*n = -3*z - d for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 18933, 37868, 56803, 75738, 94673?\n\"Answer: 18935*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 467\/(84994\/2548)*18\/(-98)*-1\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.3 in 27, -3\/5, -4\/3, -7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -143253 + 32?\nAnswer: -143221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3 + 3*w**3 - 4*w**3 + 2*w**2 - 47*w - 41*w + 91*w. Let s be 2\/5 + 1328\/80. Let y = -15 + s. Calculate h(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -2) + 4 + -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -r - 6*t, -6*r + 53 = -3*r + 2*t for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 7*i. Let x(a) = -8*a**3 + a**2 + a - 1. Let m be x(1). Let u(r) = 10*r. Let t(f) = m*d(f) + 5*u(f). Let q(n) = -4*n. Give q(t(y)).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1792 - -255. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 7057 = 58696. What is p rounded to the nearest one hundred?\nAnswer: -7400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**3 - 16*h**2 + 82*h - 6. List the prime factors of x(-18).\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2000 + 55232?\nAnswer: 53232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -u**4\/6 + 11*u**2 + 37. Let y(p) = 278*p + 2. Calculate y(x(q)).\nAnswer: -1112*q + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -5*b**4\/4 + 15*b**2\/4 - 5*b\/2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 69.97 times 17.622\nAnswer: 1233.01134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**3\/7 - 18176*k**2\/7 - 2952300*k - 41259528\/7 = 0.\nAnswer: -2271, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197*l - 1236 = -44 + 187 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5291217*o**2 - o + 5291218*o**2 - o.\nAnswer: o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 21147 + 0.5\nAnswer: 21147.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39.6 + -39.303. Let i = h - -0.203. Let x = -0.01 + 0.01. Which is the fourth biggest value? (a) x (b) i (c) 4 (d) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - ((-14)\/10 + 0). Suppose -5*o = -11 + 1. Let w = 10 - 15. Which is the closest to j? (a) w (b) o (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2052626 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -4, -8, -27, 479, -15.\nAnswer: -27, -15, -8, -5, -4, -2, 479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 166451 and 108070121?\nAnswer: 7237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3093.99997604 - -3094. Round w to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2812247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -35211*w**2. Let u(n) = 38*n**2. What is o(u(d))?\nAnswer: -50844684*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*s - 282 = 459, 6*t = -2*s + 4472. Calculate the highest common divisor of 5 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**3 + 15*u**2 + 39*u - 135. Determine l(5).\nAnswer: 685","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(-1\/14)*h*h*h*h**(-5\/4) assuming h is positive.\nAnswer: h**(75\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -6*m + 15*m + 20*m - 27*m. Let o(g) be the third derivative of g**4\/12 + 2*g**2. Calculate -2*o(t) + u(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(176) - sqrt(176)*-2) + sqrt(44) + sqrt(44) + sqrt(132)\/sqrt(3)) - ((sqrt(1331) + 4*sqrt(1331) + 4 + sqrt(1331))**2 + -4).\nAnswer: -47928 - 510*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -227*v + 4*v + 71360 = 0. Let i(u) = -27*u - 4. Let s be i(-12). Is s < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7572818639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8899 is divided by 129?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17675*t**3 - 4 + 8722*t**3 + 0 + 8494*t**3 + 2 + 2*t to p*t**3 + c*t**2 + u*t + d and give p.\nAnswer: -459","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does -64\/385 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7123092.\nAnswer: 2, 3, 37, 61, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 111*f + 2. Let n be s(2). Suppose -7*z = -3*z - n. Suppose -4 = 4*i - z. Solve b - 4*y = 6*b + 17, 0 = -2*b + 5*y + i for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -59 + 58. Let n(q) = 4*q**3 - q**2 + q - 1. Let z be n(1). Let d(j) = -z*j + 10*j + 3*j. What is d(v)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21036 - 2?\nAnswer: -21041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f*h*p**2 + 2*f*h*p + 10*f - 3*h*p**2 - 33*h wrt f.\nAnswer: 2*h*p**2 + 2*h*p + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/4 + (-3)\/6. Let p = 2 - -1. Sort k, p, -2.\nAnswer: -2, k, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1759086577, -1759086576, -1759086575, -1759086574, -1759086573, -1759086572?\n\"Answer: q - 1759086578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s\/((s**7*s)\/s)*s*s*(s\/s**(-3\/11))\/s)\/(s**7*s\/((s\/(s*s**(-3\/17)))\/s*s*s)*s) assuming s is positive.\nAnswer: s**(-1786\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 74 (c) 9383\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 36 = -5*b. Suppose 9 = x + y, 2*y = -3*y + 25. Let u = -4 - x. Is u at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9563 - 9623) + -38 + (-3 - 0).\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 4*l = -33 + 8, -3705 = -741*q + 8*l - 9*l for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -844 or -860?\nAnswer: -844","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -7*p - 12. Let z = 178 + -184. What is the remainder when 58 is divided by m(z)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of i**5\/30 + i**4\/12 - i**3\/3 - 4*i**2. Calculate f(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/5 (b) -5 (c) 6 (d) 0 (e) -57 (f) -1 (g) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*6\/30*5\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 136 by 4.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -137.5 times -270?\nAnswer: 37125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3\/2 + 7\/4. Let d = 0.4 - -2.6. Let p be (-7 - (-8)\/144*129)*(-9)\/(-3). Which is the nearest to x? (a) p (b) d (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, c: 2, j: 2, i: 1, b: 2, n: 1}. Give prob of sequence bpb.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 143\/6?\nAnswer: 143\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, u: 15}. Give prob of picking 3 x and 1 u.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -a - a. Solve 0*n = 2*n - 2, -3*i - n + a = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 31 - 3 = 5*k, 2*k = 3*q + 14. Determine c so that 1\/2*c**k + 0 + 1\/2*c - 1\/2*c**3 - 1\/2*c**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g**(1\/4)\/g)\/g*g)*g*g**(-4))**(-9) assuming g is positive.\nAnswer: g**(45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of 1\/60*n**5 + 1\/12*n**4 + 14*n - 1\/2*n**3 + 0 + 0*n**2. Let k(w) be the second derivative of s(w). Calculate k(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02633530258 to 6 decimal places.\nAnswer: -0.026335","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -4 (c) -0.2 (d) 5 (e) 75\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**3 - 27*s**2 + 10*s + 335. Calculate q(-13).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5761173101?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 19*y = -17*y + 694, 4*f + 4*y = 1372. Does 49 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.0605 - -0.1275. Round t to one dp.\nAnswer: 5.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*m + 57*m = -24. Suppose 298 + 150 = -5*g + j, 2*g = 4*j - 172. Let i = 899\/10 + g. Which is greater: i or m?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 611?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.112, -1, 1\/4 in increasing order.\nAnswer: -1, 0.112, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 307, 302, 293, 280, 263?\nAnswer: 242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j**(-9)*j)\/j))\/(j\/j**9))**(1\/67)*(((j\/j**1)\/j)**(-5))**(-45) assuming j is positive.\nAnswer: j**(-15057\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -250 - -255. Suppose g*t = 3*a - 155, a - 4*t - 67 = -6. What is the remainder when a is divided by 28?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 192, 384, 576, 768?\nAnswer: 960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/(-3))\/(((-1)\/(-4))\/((-2)\/12))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b. Let r(q) = 4*q. Let v(i) = 14*k(i) + 4*r(i). Let z(f) = 75. Let s(t) = t + 1. Let l(h) = 75*s(h) - z(h). What is l(v(x))?\nAnswer: 150*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 66 + -64. Let a(g) = -3*g**v - 17 + 19 - 2. Let q(l) = 7*l**2 - 2*l**2 - 3*l**2. What is a(q(i))?\nAnswer: -12*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 91810304 divided by -4?\nAnswer: -22952576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 530.174 + -531. Let n = v - 0.174. Put 1\/4, -5, 5, n in increasing order.\nAnswer: -5, n, 1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -8*n + 14. Let b be i(14). Let v = 272381\/28 + -9729. What is the common denominator of 315\/b + (-2 - -4) and v?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 10 = -4*c. Suppose -c*h = 2*k - 3*k - 214, -4*h + 5*k = -167. Solve 0 = 5*r - h + 18 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*2*((-6*-2*sqrt(91))\/(-1*sqrt(448)))**2.\nAnswer: -351\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*a = -7, 0 = 7*o - 6*o + 2*a. Is o < -33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) - (-5*sqrt(132) + sqrt(132) - sqrt(132)))\/sqrt(12) + sqrt(539) + -5 - ((sqrt(33) - sqrt(132)\/sqrt(4))*3)\/(2*sqrt(432) - sqrt(3)).\nAnswer: -5 + 13*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 2*i - 25, -3*p + 4*p = -4*i + 23. Let m = p - 4. Let s(b) = -b**3 - b**2 - 1. Let f(v) = 6*v**3 + 4*v**2 - v + 2. What is m*f(o) - 4*s(o)?\nAnswer: -2*o**3 + o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5591 - 89a8?\nAnswer: -3417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 7:35 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 25545, 25517, 25471, 25407, 25325, 25225?\n\"Answer: -9*o**2 - o + 25555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -483\/8 > -60?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qy when two letters picked without replacement from {y: 1, q: 1, a: 2, m: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i + 4*i + 2*i)*(i + 3*i - i) + 3*i**2 - 2*i**2 + 0*i**2 to the form x*i**2 + s + l*i and give x.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 32*(-3 + 3 + -2). Let z = u + 72. Suppose g - 12 = -2*b, -3*g + 2*g - 4*b = -22. Put g, z, 4 in decreasing order.\nAnswer: z, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1046*3\/14 - (-6)\/(-42). Let c = x + -219. Solve c*k + 4 = -11 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 0*f + 3*f - 99 = 0, 21 = t - 2*f. Let n(v) = -t*v**3 + 0*v + 2*v**2 - 2 + 3*v + 23*v**3. List the prime factors of n(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-11 + 10 + (0 - -1))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l - 30 = -3*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11459 + 118?\nAnswer: -11341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3a508 + -3?\nAnswer: 3a505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + n**3 - n)*(n**2 + n**2 - 5*n**2) + 282*n**5 - 569*n**5 + n**4 + 41*n**2 + 286*n**5.\nAnswer: -4*n**5 + n**4 + 41*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1165680 and 2232?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 131, 125, 121, 119, 119, 121?\n\"Answer: y**2 - 9*y + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.03, -17, -0.1?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 0. Let p = 7 + -4. Let v be (-39)\/(-63) - p\/9. Which is the biggest value? (a) v (b) t (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 - 6648951646?\nAnswer: -6648951583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2. Let c be ((-10)\/(-40))\/(1\/20). Suppose 3*r - c*u + 3*u - 1 = 0, 2*r - 4*u + 10 = 0. Let a(v) = -3*v + r*v + v**2. What is y(a(i))?\nAnswer: i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -33?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of u**8\/1008 - 131*u**7\/630 + 4223*u**6\/360 + 4487*u**5\/180 - 176*u**4\/3 - 242*u**3 - 243*u**2 - 2. Let p(c) = 0. What is c?\nAnswer: -1, 1, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from 4240.654046.\nAnswer: 4241.654046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**2 + o**2 - 3*o**2 + (1 - 1 + 2*o**2)*(-5 + 0 + 4) + o**2 + o**2 - o**2 + (3*o + 3*o - 3*o)*(-1 + 1 - o) - 2*o + 2*o - 2*o**2.\nAnswer: -7*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 829 a factor of 3274909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (6 - 4 - -4) + -4 - -8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 3*w = -11, 2*y - 7*y - 5*w = -5. Let u = -35 - -43. What is the least common multiple of u and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 88*z**2 + 5287*z + 81. Give c(41).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/215 in 2\/3, 0.4, 0.02, -6?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus -18765956117631?\nAnswer: -18765956117631.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 52908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-6)\/(-4) - 60\/(-24)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 315?\nAnswer: 3465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1011549461 + 1011549360.0000051. Let i = 101 + f. Round i to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -286c (base 15) in base 2?\nAnswer: -10000111001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 x when two letters picked without replacement from {i: 7, p: 4, x: 7}.\nAnswer: 49\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - ((-4)\/(-16)*-4)\/1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 686532955 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - (10 - 10)) + (-1 - (13 + 2)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4*sqrt(120))\/sqrt(10) + -4 + (sqrt(252)\/sqrt(108))\/((sqrt(77) - (sqrt(77) - sqrt(77)*-1))\/sqrt(11)) + -1.\nAnswer: -1 + 23*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 7:53 PM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - m**2 - m - 1. Let t = -42 - -62. What is the smallest common multiple of b(3) and t?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (87\/(-27) - (-19 + 15)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 4*y + 14, 0 = 5*j - y + 2 - 0. Let t be (0 - (3 + 20))*j. Let l = 60 - t. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*y + 43*y + 17*y.\nAnswer: 21*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 24*v**2 + 160*v - 16. Calculate k(-7).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 173339 + -173519.814. Let k = 181 + h. Let z = k + -0.18600154. What is z rounded to seven decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, j: 3}. What is prob of sequence fjjf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 3:32 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.0831 * -34\nAnswer: 2.8254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 31 = -185*c. Let j(b) be the second derivative of -b**5\/20 - b**4\/12 + b**3\/6 - 23*b**2\/2 - 2*b. Give j(c).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1009 - 1008. Let x = -0.33 - -1.63. Let a = x + 4.7. Which is smaller: j or a?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(11 + -9 - 0). Let h be (16\/(-2))\/(-2)*z + 0. Which is the smallest value? (a) h (b) -2 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67 divided by 20.\nAnswer: -67\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 72*m**3*y - m**2*y - 3*m*y - 4662*y wrt m?\nAnswer: 216*m**2*y - 2*m*y - 3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 355 and 2087348.\nAnswer: 741008540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-6*sqrt(3)*-3 + (sqrt(363) + 1 - sqrt(3)))**2.\nAnswer: 168*sqrt(3) + 7059","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 66 - 61. Which is the smallest value? (a) -3 (b) 2.4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1559180 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 2 k, and 1 x when four letters picked without replacement from {j: 6, k: 4, d: 3, f: 2, w: 1, x: 2}?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7675000 rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1))**45\/(w**1)**(23\/4) assuming w is positive.\nAnswer: w**(-203\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1603*g**3 + 805*g**3 + 797*g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 94359543, 188719097, 283078675, 377438289, 471797951?\nAnswer: 566157673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47 + (-19 - 7) + -20 - -9?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -13\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -30 - 565224?\nAnswer: -565254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Product of -0.09 and 2921.\nAnswer: -262.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 11:04 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*m = 26 + 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and -1748.3.\nAnswer: -1748.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.272 + -0.028. Let p = -1.4 - 0.6. Which is the closest to 1? (a) y (b) 1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/220 and -101\/24.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 9*d**3 + 6*d**2 + 6. Let h = -734 - -728. Let x(s) = -8*s**3 - 5*s**2 - 6. What is h*x(r) - 5*n(r)?\nAnswer: 3*r**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33 and 76951149.\nAnswer: 76951149","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a (base 11) to base 9.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(84\/(-8))*3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 0 - 874*g**2 + 895*g**2 to the form b*g + w*g**2 + m and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven sixths of a hour?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 17, 51, 109, 203, 345, 547, 821, 1179?\n\"Answer: 2*w**3 + 20*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 20*h**2. Let y be -1*4\/(16\/(-4)). List the prime factors of a(y).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42271 + -19862. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11451926*q**3 - 9585700?\nAnswer: 34355778*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (((-80)\/(-15))\/(-8))\/((-14)\/(-147))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from twtottotowtwcicoo. Give prob of picking 2 c and 1 o.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 12:21 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 n when four letters picked without replacement from {u: 5, o: 1, a: 4, i: 3, n: 1}.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 80 + -75. Suppose -3*m = -5*n + 5, 0 = -5*m + d*n - 6 + 1. Factor 1\/2*k**3 + 0 + m*k**2 - 1\/2*k.\nAnswer: k*(k - 1)*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 5 + (0 + sqrt(243) + 6*(0 + sqrt(243) - sqrt(243)) - ((1 + sqrt(243))*-1 + sqrt(243)*-1 + 4)))**2.\nAnswer: -108*sqrt(3) + 2191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n. Let m be 5 - 3 - 5216\/(-3 - 1). Let d be (-15)\/(-30) + m\/4. Let o(y) = d - 327 + 10*y. Determine s(o(w)).\nAnswer: -20*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 105573799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22034342 a multiple of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 2*g**2 + 169*g - 637. Calculate h(4).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*d - 82. Does 2 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2061250220 + 2061250220 + 675*p.\nAnswer: 675*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -67 + 83 + (-2 - (-1 + 11 - (-4 + 4))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -4. Let x = t + -2.9. Let s = 5 - 3. Sort x, -5, s.\nAnswer: -5, x, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.9 and -243.\nAnswer: 218.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/6)\/((-1)\/6). Let z = -1.1 + 5.1. Let l = 4.1 - z. Is d equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y*y**(1\/5)))*y**(-2\/3)*((y**(2\/35)\/y)\/y)\/y**(-15))**(-1\/2) assuming y is positive.\nAnswer: y**(-1427\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 4*d - 34. Calculate h(0).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a decade in months?\nAnswer: 3060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide ((-51)\/(-6))\/(1\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -n + 2*t, -2*n + t - 2*t - 2 = 0. Let g = 15 - 12. Let z be (-2 + 2)*(g + -4). Are z and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -146 divided by 43159\nAnswer: -146\/43159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005913523 to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-3*((sqrt(768) - (2*sqrt(768) - sqrt(768) - sqrt(768))) + sqrt(768)))\/((sqrt(4) - (sqrt(16)\/(sqrt(8)\/sqrt(2)) + sqrt(4))) + 3*sqrt(196)).\nAnswer: 12*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 42413 + 15754 = 3*n, 4*t = -3*n + 77559. Does 219 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -10*m + 84. Suppose -y + m = 2. Solve -2*p = -4*x - y - 2, 3*x - 2*p = -13 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.15 (b) 1\/11 (c) 0.184 (d) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 25 = -79. Let p(v) = v**3 + 10*v**2 + 10*v + 19. Let d be p(q). Suppose d*l - 13*l + 54 = 0. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2616 and -376.3668816.\nAnswer: 2239.6331184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 - z**2 + 3*z**2)*(z**2 + 2*z**2 - 2*z**2) + (1 + 0 + 4)*(-z**4 - z**4 - 2*z**4).\nAnswer: -19*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3 - 460*b**2 + 40132*b + 3096768.\nAnswer: (b - 254)**2*(b + 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of -i**6\/120 + 3*i**5\/20 - i**4\/2 + 7*i**3\/6 + 2*i**2. Let q = 68 - 61. Let k be l(q). Is 21 at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.7358372 nanograms?\nAnswer: 0.0000000000000007358372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - 7*g + 27. Let w be i(6). Suppose -32*h = -43 - w. Solve 0 = 4*m - h*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 11\/(3564\/1968).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + 3)*3.\nAnswer: 9 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ft when two letters picked without replacement from {b: 2, t: 1, u: 2, w: 1, f: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8216199 take away 4.73?\nAnswer: 8216194.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 114415.9884 seconds in weeks?\nAnswer: 0.189179875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1042, -1477, -11102, -31385, -65878, -118133, -191702?\n\"Answer: -592*r**3 - r**2 + 1628*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/7)*z**(-6)*z**5*z*z*z**7)**(-3\/4) assuming z is positive.\nAnswer: z**(-87\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 372981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/8 and (90\/(-8))\/((-33)\/8).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9046375 and 3250?\nAnswer: 18092750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0402209 * 3.\nAnswer: 0.1206627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**4 + 2*d**3 - 22*d**2 + 36*d - 14. Let m = -119 + 116. Let f(o) = -o**4 - 3*o**3 + 21*o**2 - 38*o + 15. Let x(k) = m*u(k) - 2*f(k). Factor x(z).\nAnswer: -4*(z - 1)**3*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, q: 1, s: 4, y: 8, e: 1}. Give prob of picking 1 y, 1 e, and 1 q.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m. Let j = 15 + -12. Let l(u) = -j*u**2 - u**2 + 0*u**2 + u**2. Give l(a(z)).\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (-25)\/10)*224\/80.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/(-40)*(-16)\/60.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 48 = -0*j. Solve -j*m + 3*m = -15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -197 + 215. Let u(z) = -109*z + 1. Let a be u(-3). Calculate the least common multiple of r and a\/18 - (-2)\/(-9).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20325 and 33557388.\nAnswer: 813","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*i + 21*i = 93720. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + -2. What is the remainder when b is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*k - 205310 = 2*k + 45655. Is k a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y**3 - 8*y**3 - 5*y**3 + 3*y**3.\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/8 and 41\/4507443.\nAnswer: 36059544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1419 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - 26*y - 241. Determine g(37).\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.2 (b) 3 (c) 1\/24 (d) 1 (e) 945 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3022670?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 14*n**2 + n - 27. Let c(r) = -10*r**2 + 150*r - 14. Let h be c(15). Calculate p(h).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 7*q**2 + 7*q - 2. What is x(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 3)*(s**2 + 0*s**2 + 0*s**2) + (-1 + 3 - 1)*(-s + 2*s**2 + s) - s + s - 4*s**2.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -390? (a) 4 (b) -40 (c) 0.3 (d) -5 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 11*-0.485\nAnswer: -5.335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 3*d + 5*k, 3*d - 2*k = -2*d + 100. Let f(v) = v**3 - 5*v**2 - 5*v - 2. Let t be f(6). Suppose -t*u - d = -7*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - 7*r - 4*r)*(-572*r + 1 + 770*r - 443*r).\nAnswer: 2695*r**2 - 11*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 7. Solve -3*g = -4*i - 1 + 28, 4*g + t = -3*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1003468 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - 10*g + 5. Let a = 800 + -793. What is the least common multiple of r(-10) and a?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -12866, -19460, -26066, -32690, -39338, -46016?\n\"Answer: -x**3 - 6587*x - 6278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -80 <= -88?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 5. Let l = -7.75 - -8. Let x = -0.05 - l. Which is the second biggest value? (a) x (b) f (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -9*y**2\/2 - 15. Let k(w) = 18*w. Let l(b) = 11*a(b) + 6*k(b). What are the prime factors of l(8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*o - 1. Suppose 41*m + 59 - 920 = 0. Sort o, -4\/7, m.\nAnswer: o, -4\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59751.6756 - 3?\nAnswer: 59748.6756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1158624?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 20 = 2*m, 0 = 2*m + 2*m + 20. Let g be 4\/p - 10\/(-30). Suppose 0 = -4*k + 6*k - 22. Solve 3*l + 5*j + 0*j = g, -l - k = -4*j for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43004 divided by 6\nAnswer: 21502\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 - 11. Let f be (10\/i)\/(2\/12). Which is greater: f or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 + 8 = 5*z + 3*p - 8*p, -18*z + 30 = 3*p for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3*y + 58 = -16, -62 = -4*o + y. What is the remainder when 271 is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12 + -51542?\nAnswer: -51554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of 13*y**8\/336 + y**5\/30 - 27*y**2. Find the third derivative of k(n) wrt n.\nAnswer: 780*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 8. Let h = -5 + j. Let m = h - -1.5. What is the second biggest value in 1\/3, -0.4, m?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 1 = 2*d. Let q(v) = -v**3 - 7*v**2 - v + 2. Let b be q(d). Is 2 > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -134*w**3 - 2*w**2 + 1. Let b be q(-1). Let c be b\/(-21)*-3*2. Let x = c + -11. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - x**4 - 34*x**2 - 2*x**3 - 38*x**2 + x - 2*x**3 + 71*x**2 - 3*x as l*x + w*x**2 + r + j*x**4 + o*x**3 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1)\/t)**(-12\/11)*(t**(2\/3)\/t)**(-4\/13))**(-33) assuming t is positive.\nAnswer: t**(-980\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g + 16. Let m be y(-6). Let a be 0*(m - (-20)\/(-4)). Solve a*b = -b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a*a**(2\/3)\/a)*a)\/(a**(-8)*a)*(a*a*a*(a*a**1*a)\/a*a*a*a*a)**(-2))**13 assuming a is positive.\nAnswer: a**(-416\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/((-42)\/(-14)))\/((-1)\/(-1))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -263 - -276 - (-1 + 5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*b**3 + 470*b**2 + 66*b**3 - 918*b**2 + 448*b**2.\nAnswer: 130*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 287.\nAnswer: 143.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2910519, -5821019, -8731519, -11642019, -14552519, -17463019?\n\"Answer: -2910500*s - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -904 + 908. Solve 4*z + 8*n = 3*n - 20, -k*z - 2*n - 8 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 2*j - 20. Suppose 2 = 2*a - j. Suppose 0*r - 110 = -5*r - 5*d, -5*r + a*d + 110 = 0. Is r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 + 4*h**3 + 12 - 35*h**2 + 6 in the form n*h + z*h**2 + c*h**3 + m and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 102 - -144301023?\nAnswer: 144301130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 50 = -3*t, -2*t - k - 14 = -3*t. Solve 3*d = -2*g + 11, 5*g - 16 = -t*d + 7*g for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 240 divided by 25\nAnswer: 48\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 48\/(-84)*(-21)\/2. Let g be 8\/d - 4809\/9. Let r = g + 1216. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**2 + 62*k - 43. Let q be t(-32). Suppose 0*u = -4*u - 4*c + 116, 50 = 2*u + 4*c. Let b = u + q. Calculate the remainder when b is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 101972 and 424.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 402 a factor of 12225397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1883*v**3 + v**2 + 1526*v + 6473836 wrt v?\nAnswer: -5649*v**2 + 2*v + 1526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 5*p**2. Let r(o) = 16198*o**2. Calculate r(u(l)).\nAnswer: 404950*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -187, -149, -99, -31, 61, 183, 341?\nAnswer: 541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8712568?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 17856 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.56543um in millimeters?\nAnswer: 0.04656543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - r + 5. Suppose 5*v - 4*f + 15 = 3, 3*f = 5*v + 9. Let c be g(v). Suppose -c*z = -z - 316. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/24 and -121\/1900.\nAnswer: 11400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1595 a factor of 61811240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5 - 15\/3)*(-3)\/6. Solve -11 - 2 = -4*s + 5*l, n = 2*s - l - 5 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52a3 (base 13) to base 6\nAnswer: 125012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 197*m**2 + 5 + 207*m**2 - 4 - 408*m**2 - 4*m + 3*m. Let u(f) = f**3 + 2*f**2 - 2*f - 3. Let p = -2 + 0. Let w be u(p). Calculate h(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, t: 4, c: 5}. What is prob of sequence cc?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4))\/((-1365)\/28*(-78)\/(-195))?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u = -d + 3*u - 5, 4*d = 2*u + 10 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 17 = -8*y + 7*y, 4*u + 5*y - 37 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -bbb1 + -5?\nAnswer: -bbb6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31994, 31981, 31960, 31931, 31894?\nAnswer: 31849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - 6.1.\nAnswer: 14.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f - 4. Let g(w) = -3*w + 13. Let j(o) = -2*g(o) - 7*r(o). Let c be j(-2). Suppose 5732889 = -c*l - 1427111. What is l rounded to the nearest 100000?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6086 - 6071. Let u be (-1 - 1)\/(4\/16). What is the remainder when (-214)\/u - (-1)\/4 is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 10:58 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -27, -26, -39, -78, -155, -282, -471, -734?\n\"Answer: -2*y**3 + 5*y**2 - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -23ab7ac5 - 5?\nAnswer: -23ab7aca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*i - 27 - 12*i - 7*i - 3*i + 5*i - 3*i + (-4 - 2*i + 4)*(0 + 0 + 2) + 2*i - 2*i + 2*i.\nAnswer: -2*i - 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -33318*n. Let d(u) = 10*u**2. Determine d(g(c)).\nAnswer: 11100891240*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 387312315.\nAnswer: 3, 5, 13, 1986217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -26443981.8 rounded to the nearest one million?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -176510 by -10.\nAnswer: 17651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12066049, -12066050, -12066051, -12066052?\nAnswer: -12066053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 2382 = -7327. What is the greatest common divisor of 73 and o?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -10*y**5 + 465*y**4 + 720*y**3 + 5*y**2 - 240*y = 0.\nAnswer: -1, 0, 1\/2, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 + 103?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17.045 + 21.045. Let d = 1.5 + 0.5. What is the smallest value in -17, d, x, -3?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of i**3\/6 + 4*i**2 - 3*i. Let v be s(-6). Suppose 3 = 5*n - v*a - 3, 0 = 5*n + a + 3. Solve 5*b + n*b - 15 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10718 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00099103133 to 6 decimal places.\nAnswer: -0.000991","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)*-1)\/sqrt(5) + (2*sqrt(52))\/sqrt(4) + -4.\nAnswer: -4 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-7 - -9)*-6?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -28 times -159.7\nAnswer: 4471.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2714583 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 50 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20442 + 15611?\nAnswer: -2631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5875?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14)\/35 - (-524)\/(-40)*-4. Suppose j + j = 4*i + 290, -5*i - 293 = -2*j. Let w = j + a. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7030062739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51 - -56. Let 15*b**3 + 9*b**4 + 0*b**3 + 15*b**2 - 5*b**4 + b**4 + l*b = 0. Calculate b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 107 + -104. Let z be (1 - 0) + (-9)\/y + 3. What is the nearest to 0 in 3, 1\/4, z?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*j**3*y - 13*j**3 - 223*j**2*y + 4*y wrt j.\nAnswer: 42*y - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -745 - -778. Calculate the remainder when 196 is divided by u.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**2 + 69*c + 2264. Calculate t(-22).\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18625 is divided by 1239.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15725*a*l + 698845*a - 33*l with respect to l.\nAnswer: -15725*a - 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of -l**5\/20 - 2*l**4\/3 + 7*l**2\/2 + 10*l. Determine t(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -11 - (112 - 102)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 2*i + 20. Let l(j) = -j**2 - j - 1. Let d(x) = 10*x**2 + 5. Let s(q) = d(q) + 6*l(q). Is s(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33983573*o**3*t + 10920949*o**2*t + 2*o*t wrt o?\nAnswer: -203901438*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(13) + 2 + -5 - (sqrt(13) + sqrt(143)\/(sqrt(33)\/sqrt(3) + sqrt(11) - sqrt(11)))))**2.\nAnswer: 96*sqrt(13) + 352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 4 + 2*t**2 - 2*t**4 - 2 + 8*t**3 - 3*t**4 - 7*t**3 in the form x + l*t**3 + k*t**4 + z*t + w*t**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**13*(m*m\/(m**(-35)*m))\/m)**(-48) assuming m is positive.\nAnswer: m**(-1152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 780062.4945 rounded to the nearest ten?\nAnswer: 780060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00012724 to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -5*v + 30340 - 9520, -3*v = -q - 12492. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38055 plus 1.4?\nAnswer: 38056.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*b - 5*h, -1 - 6 = -3*b - 5*h. Calculate the remainder when 50 is divided by 12\/16*b + 23.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215884?\nAnswer: 2, 31, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(462\/(-679)) - (-776)\/2134?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -53 + -24.27.\nAnswer: -77.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -15*g + 1. Let w = 18 + -17. Let z be f(w). Let l(n) = n**2 + 14*n + 8. What is the units digit of l(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -181.6 - -9011.1.\nAnswer: 8829.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -846.3 - -838.3. Let u = -833 + 1613\/2. Let c = -27 - u. Put 0.4, p, c in increasing order.\nAnswer: p, c, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-8))**(3\/2)\/((x*(x**(-2\/7)\/x)\/x*x)\/(x\/x**(-2\/5))))**40 assuming x is positive.\nAnswer: x**(-2888\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001073807 rounded to five dps?\nAnswer: 0.00107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 + 22.00064. What is v rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.4 rounded to zero dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 18*h**3 - 16*h**2 - 770*h - 10. Let p(m) = -m**2 - m - 1. Let x(f) = -o(f) + 10*p(f). What is the second derivative of x(u) wrt u?\nAnswer: -108*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -3 (b) -0.0195 (c) -0.07 (d) 1\/4 (e) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**3 + 21*x**2 - 31*x - 66. Determine a(-12).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6702 - 0?\nAnswer: -6702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 5*k + 5 = -10, 3*f = k - 3. Solve 3*g = -2*b - b - 3, f = -g + 4*b + 4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.44 + 0.04. Let z = g - -0.7. Let p = 6 - 5.5. What is the smallest value in -3, p, z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**2 + 0 + 0 + (0*s + 0*s - 2*s)*(-6 + 6 + 2*s)*(48 - 20 - 16).\nAnswer: -46*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (((-100)\/15)\/10)\/((-4)\/78). Suppose 2*v = -3*b + j, -5*v + 4 = 3*b - 6. Let l = 7 - b. Solve 3*o + l*o + 25 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 + 41 - 23 - 8899*n**2 + 30795*n**2 as q*n**2 + h*n + s and give q.\nAnswer: 21896","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 95 + -142. Let w = -46 - n. Sort 2\/3, -0.3, w, 0.6 in descending order.\nAnswer: w, 2\/3, 0.6, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n - 7 - n - 7*n**3 + 8*n**3 to the form p*n**2 + u + k*n**3 + y*n and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -3*p**2\/2 + 30*p - 19. Let s be o(9). Find the second derivative of -2*f**s + 8*f**3 + 2*f**3 - 2*f + 13*f**3 wrt f.\nAnswer: 126*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 2*i + 11. Let u be n(6). Let l = u - -11. Let b(t) = -t**3 + 2*t + 1. Let s be b(l). Solve p - 5*p = -5*f + 3, 2*f = -s*p - 12 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.377671 litres to millilitres.\nAnswer: 7377.671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = 51*k + 218 + 77. Let c(q) = -8*q**2 - 32*q - 4. What is c(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1520.87 - -2322522\nAnswer: 2324042.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.22522 * 18212\nAnswer: -4101.70664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 12 = m, -h - 2*m + 16 = -7*m. Let o be (3 - (-240)\/(-81))*(4 + -1). Which is the third smallest value? (a) h (b) o (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4*y + 124 = 0, 0*k - 3*k + 100 = 2*y. Suppose 2*l + g - k = 0, 7*l + g = 2*l + 84. Suppose 14*i = l*i - 44. Is i a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (7 + -9) - 10) + 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -6*q + 21. Determine t(0).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/28 + 6\/(-21). Suppose -t + 23 = -o*b + b, 4*b - 113 = -5*t. What is the greatest common divisor of 168 and t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 31165*o**4 - o - 1 + 0*o + 1279*o**2 - 31163*o**4 - 357*o**2 in the form d*o**2 + g*o**4 + t + a*o**3 + w*o and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + 11*q + 11. Let v be u(-1). Put v, 13, 0, 5 in ascending order.\nAnswer: v, 0, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = u + u. Let c(j) = -j**2 - 2*j + 2. Let r be c(u). Suppose -4*h = -r*h. Solve 0 = -4*b - z - 8, h = -b + 3*z - 7 + 18 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*u = -246 + 54 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7052404.\nAnswer: 2, 307, 5743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6335\/996498 + 2\/6003. Which is the second biggest value? (a) -1\/3 (b) 1 (c) 2\/9 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 436 + -131. Let v be (0 - -2)*((-424)\/(-16) + 4). Calculate the greatest common divisor of d and v.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -4, -1, -0.5, -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 2652 + 2645 = 0, -2*r = 2*u + 18 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2349*w - 2*w - 22691 - 47839 = 0 for w.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -769.2072 * 3\nAnswer: -2307.6216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 5:07 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 bigger than 25\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15\/13 + -101\/65. Let r = -49 + 48.947. Let k = 0.053 + r. What is the second smallest value in 1.3, k, f, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 3*(3 + -2 + sqrt(1584) + -6*(sqrt(1584) + -2 - sqrt(1584)) + 5))**2.\nAnswer: 3816*sqrt(11) + 17065","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/20*(-140)\/72)\/(10\/45)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -3*y + 3, 3*y = 2*n + y - 2 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.04 - 0.44. Let f be (-165)\/(-35) + (-92)\/(-322). What is the third smallest value in 35\/2, g, f?\nAnswer: 35\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of y**4\/12 + 3*y**3\/2 + 2*y**2 - 2*y. Determine w(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/32 - -35\/96. Suppose 0 - 7\/6*g**2 + r*g = 0. Calculate g.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4332 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-6)*(-288)\/(-96).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffytt. What is prob of sequence tyf?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 653, 866, 1069, 1256, 1421?\n\"Answer: -n**3 + n**2 + 217*n + 436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, x: 2, y: 5, f: 7, l: 2}. What is prob of sequence xyo?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -53340 by 10668.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82, 102, 126, 154, 186, 222, 262?\nAnswer: 306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7589.\nAnswer: 7589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 513 and 1459789?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, a: 7, z: 2, e: 1, q: 1}. Give prob of sequence qozz.\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, v: 4, g: 1, a: 2, l: 1}. Give prob of picking 1 g and 1 z.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2*t + 8 = 0, 3*i = 8*i + 4*t - 16. Let f be (-1)\/2 - (-4)\/8. Suppose f = -5*b + 4*b. Solve 2*p + b*p = i for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2320 and 399910?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -22.929 + -81\nAnswer: -103.929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6b (base 12) to base 4\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 1\/5, -5\/32, 0, -2\/9?\nAnswer: -5\/32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 0)*30\/(-3). List the prime factors of 2\/(-4) - 385\/p.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**4 + 40*z**3 - 65*z**2 + 30*z.\nAnswer: -5*z*(z - 6)*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1504540 + -1112?\nAnswer: -1510052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -100299322 + -2.03?\nAnswer: -100299324.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 3:47 PM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 divided by 199?\nAnswer: 19\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*n + 23*n + 18*n + 32*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n - 1. Let a(t) = 1 + 0*t + 2 - t. Let f be a(0). Let x(p) = -1 - 6 + 0 + 5*p + 3. Calculate f*k(m) - x(m).\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 0 + 2. Let i be 4 + n - 9\/6. Which is the smallest value? (a) -0.5 (b) i (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - d - 66 = 3*f, 0 = -2*f + 4. Let u = -13 - d. Suppose -m + u*y + 48 = -69, -4*m = 5*y - 443. Is 16 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 949779*v**2 - 949587*v**2 - 8*v**3 + 2*v**3.\nAnswer: -6*v**3 + 192*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iqq when three letters picked without replacement from {q: 3, i: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((10 - 6 - 7)*(4*q**2 + q**2 - 2*q**2) + q**2 + q - q + 18*q**2 - 8*q**2 - 11*q**2)*(2*q**2 + q - q).\nAnswer: -18*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 11:33 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1527 - 1447 + 2878 + 357*g**5 + 4*g wrt g?\nAnswer: 7140*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35 + 20. Let h be (m\/6)\/((-1)\/2). Suppose 282 = 2*p + 3*s, p + 115 = 2*p - h*s. Is 39 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 6:16 AM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -32\/5*u + 0 + 32*u**2 - 14\/5*u**5 - 192\/5*u**3 + 88\/5*u**4 = 0.\nAnswer: 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*h = 20*h + 41. Let q be (-4 - -7)\/((-1)\/h). Suppose -5*f = -13 + 3, -c - 2*f = -q. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 500 and 666800?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 6*f = 0. Which is smaller: -8\/19 or f?\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 5304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 0, 6*m - 20 = -5*u + m. Let f be 6\/u*28\/21. Let i(h) = 7*h - 2. Let p be i(3). Solve 3*a + p = -0*r - f*r, 0 = -3*r + 5*a for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 47 = 81. Let c(d) = 2*d**3 - 4*d**2 + 2*d - 2. Let g be c(3). Let m = q - g. Which is smaller: m or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56 + 75. Suppose -2 = 17*h - u. What is the second smallest value in h, 2\/13, -4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 - 6 - 9 + 15. Let w(t) be the second derivative of 2*t + 0*t**2 + 1\/6*t**3 + 0. Determine i(w(r)).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 121.91 + 3.09. Let j = v - 124. Which is the nearest to 2\/15? (a) 0.1 (b) 2\/9 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -5*p - 136. Let m be n(-28). Solve 2*t - 5*z + 15 = 0, 3*t = m*z - 26 + 14 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2968 by 7.\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (a**3 + 0*a**3 + a**3)*(-3*a + a + a) + (7 - 7 + 5*a)*(33*a**3 + 12*a**3 + 16*a**3) in the form i + o*a**4 + z*a + c*a**3 + l*a**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*y + 4*a, y - a = -3*a + 2. Let m(o) = -4*o**3 - 1. Let d be m(-1). Factor h**4 + 5*h**2 + 3*h**4 - 2*h**4 - d*h**2 - y*h**3.\nAnswer: 2*h**2*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 7:27 AM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2286 or -2285?\nAnswer: -2286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a century in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -190, -401, -698, -1081?\nAnswer: -1550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3354159751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -2, -4, 2, -6, -14\/4835.\nAnswer: -6, -4, -2, -14\/4835, 2\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 515?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -1, 0.093?\nAnswer: 0.093","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 18 = -2*x - 29, -x = o + 1 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -13*n**3 + 5*n**2 - 12*n + 1. What is x(1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22164?\nAnswer: 2, 3, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39500*b**6 + 49186*b**2 wrt b.\nAnswer: 4740000*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -17 + -100?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 44 - 39. Suppose q - 2*q = -c*l + 7, 4*q = -2*l + 16. Suppose 0 = -5*a + q*a + 12. Calculate the smallest common multiple of a and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 507 (b) 1 (c) 4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-54)*(-27 - -3) - -2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 180 and 76594.\nAnswer: 76774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147311?\nAnswer: 147311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17.2 - 45. Let f = 3.8 + w. Let v = f + 25. Is 12 at most v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1197381?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55162313?\nAnswer: 379, 145547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 5*o**2. Let g(x) be the first derivative of 3*x**3 - 5*x**2\/2 + 5*x - 1. Let l(h) = -22*h**2 + 12*h - 12. Let m(r) = 12*g(r) + 5*l(r). Give i(m(b)).\nAnswer: 20*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-2 - (5 - (-1 + 6))) + -6?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -48\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -46 + (8 + -54 - -59)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 89\/56 - 12\/7. Put j, -0.2, -7, 0.4 in descending order.\nAnswer: 0.4, j, -0.2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*q - q. Let b(o) = -o**2 + 5*o + 4. Let d be b(5). Suppose 27 + q = d*r. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 180 - 28*l + 21*l + 9 - 15*l. Does 38 divide c(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -5*q - 25, 5*p - 2*q - 101 = -q. Let f be (-6)\/(-15) - (-192)\/p. Suppose -5*a = -5*k - f, -4*k - 9*a = -4*a - 28. Solve 3*z - 5 = -k*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2348 divided by 4\nAnswer: -587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yqfv when four letters picked without replacement from qvwwvvwqfvwyvf?\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -17*h**5 - h. Let i(y) = 18*y**5 + y. Let x(r) = -4*i(r) - 5*k(r). What is the second derivative of x(n) wrt n?\nAnswer: 260*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/918380 and 29\/210.\nAnswer: 19285980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-3)*(-6)\/12*-12\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**2 - 3*c**2 - c**2 + (-c + 6*c - 3*c)*(1 - 1 + c) - 17*c**2 + 2*c**2 - c**2 - 2*c**2 + 3*c**2 - 4*c**2.\nAnswer: -18*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**4*l\/l**2*(l**(2\/3))**(-14\/3) assuming l is positive.\nAnswer: l**(-1\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8724 = -w + 5*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*4 - (166\/415)\/((-3)\/30).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 505 is divided by (-160)\/(-7) + 60\/(-70)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 3:30 AM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 281464?\nAnswer: 2, 151, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-7)\/(a**(-6\/13)*a))\/(a\/a**(1\/7))**17 assuming a is positive.\nAnswer: a**(-2012\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 4:27 AM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 10:00 PM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 97948.6 rounded to the nearest 1000?\nAnswer: 98000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/21)*i*i\/(i\/(i*i**2)))\/(i**(1\/2)*i)**(-17) assuming i is positive.\nAnswer: i**(1235\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n - 9. Let l be j(-12). What is the first derivative of -9 - 3*q**2 - 5*q**2 + l*q**2 - 5*q**2 wrt q?\nAnswer: -20*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-2\/43))\/w)\/w**14*(w**(3\/5))**(2\/53) assuming w is positive.\nAnswer: w**(-158742\/11395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) -22 (c) 6 (d) -4 (e) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -4*b. Suppose 22 - 6 = 4*l - 4*m, 4*l - 2*m = 18. Let g(v) be the second derivative of 0*v**2 - 1\/12*v**4 + 0 + 0*v**3 + l*v. Calculate g(t(o)).\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 42 = 4*r + r, -4*r = -2*s - 42. Suppose r = 5*j - 1. Solve 0 = -5*l - 12 + j for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 143*1.\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*f - 9*f - 2533. Let w = f + 379. What are the prime factors of w?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + 69*v**2 + 66*v + 286. What is p(70)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -48*y - 4431 + 5631 for y.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -21) + -18 + -10?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Divide 8503757 by -47.\nAnswer: -180931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 2*q + 8 = 0, 2*q = 3*c - q + 3 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -129 (b) -1 (c) 0.03 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = a + 2*b + 12, -2*b - 27 = 5*a. Let x = a - -7. Put -2, x, 4 in decreasing order.\nAnswer: 4, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 19 - 44 + 769*m**2 - 1681*m**2 + 16.\nAnswer: -912*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 70229470*n**3 + 6559762 wrt n.\nAnswer: 210688410*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 7*u = 1080. Suppose -u = -3*a + 141. Suppose -a = -5*t + 1. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 28*d**2 - 5*d + 3. Let h = -49 - -51. What are the prime factors of c(h)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -1) + 341 + -355.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**17*f**(2\/15) assuming f is positive.\nAnswer: f**(257\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 17. Let x(t) = -t**3 + t**2. Let u(w) = w**3 + 4*w**2 - 2. Let j(g) = 3*g**3 + 9*g**2 - 5. Let c(b) = 2*j(b) - 5*u(b). Determine n*c(y) - 4*x(y).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 805 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, j: 2}. What is prob of picking 2 l and 1 j?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*d - 326 = -172 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 383130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -8. Let s(x) = 3*x + 5. Let o(w) = 6 + 34 + 27 + 34 - 151 - w + 51. What is v*o(c) + s(c)?\nAnswer: 6*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -8.39, 4\/3, -1\/2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 51183.3 millimeters in centimeters?\nAnswer: 5118.33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 65*q - 4 - 38*q + 141*q - 40*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7722466?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 667098733.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-51)\/(-15) - 2\/(-10).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b7 + 7707?\nAnswer: 7610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10739*f**2 - 251*f*x**3 - 108065*x**3 - 5 wrt f.\nAnswer: 21478*f - 251*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*m + 13*m - 654. Does 19 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 4 = 0, -83 = 4*i - k - 61 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1470?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -212, -426, -638, -848, -1056, -1262?\nAnswer: -1466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d46 + -14?\nAnswer: -d5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 7*f + 5. Let u be r(-6). Calculate the greatest common factor of u and 1386.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-25)*(-1)\/(-15)\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32390 - -32389.78203. What is z rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - 156*h**2 - 243*h + 13573. Give i(157).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 26*z**2 - 5985*z - 5748. Determine d(66).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 80488239?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2074\/255 - (-15 - -23)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -209*z**4\/12 + z**3\/6 + 49*z**2\/2 + 205*z. What is the second derivative of i(q) wrt q?\nAnswer: -418","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**4\/3 + 4*b**3 + 32*b**2\/3.\nAnswer: -2*b**2*(b - 8)*(b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 942.\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14358 divided by -1.\nAnswer: 14358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11*((0 - -2) + -1). Let i = 16 - q. Let x(h) = -4*h**3 - h**2 + 2. Let b be x(-1). Solve 0 = 4*z + 16, -b = -v + i*z + 15 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 14165 - 17cc?\nAnswer: 12777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 496258a?\nAnswer: 4962588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 137 = -137. Suppose 4*f + 0 = 8. Suppose 4*p - b = 28, f*p = -m*b + b + 12. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1299413 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 3:52 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from ttyttttttfttttt.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 636, 2364, 5224, 9198, 14268?\nAnswer: 20416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -427.464472 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1766 + 1436 = -66*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = m + 3. Let i(z) = 4*z**2 + 1. Let v be i(m). What is the second derivative of o - 2*o**5 - 5*o**5 + v*o**5 wrt o?\nAnswer: -40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 4 = -3*c + 3*n, 4*c - 4 = -2*n. Solve -9 = c*q + j, -5*j + 8 = -2*q - 7 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2961734 to the power of 1\/2, to the nearest integer?\nAnswer: 1721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -546610*g**6 - 12466*g**2 + 35*g.\nAnswer: -65593200*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26029303?\nAnswer: 26029303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 5405, 2\/5, -103823?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 b when two letters picked without replacement from bkbkbbkbbbkbbbbbbbb.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)*-3)\/sqrt(5))\/(-2*sqrt(176)).\nAnswer: 3*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -67 + 77. Let j be -3 + 0 - (m\/(-5) + -3). Let b(a) = -j + 260*a + 4*a**2 - 259*a - 3*a**2. What is b(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**4 - m**3 + m**2 - m + 4. Let n(j) = 2*j**4 - 4*j**3 + 55*j**2 - 50*j + 18. Let a(h) = -4*c(h) + n(h). What is the second derivative of a(l) wrt l?\nAnswer: -24*l**2 + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.00991 rounded to one decimal place?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-945)\/75)\/3 - -4.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 581464 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -1.3. Let x = 4 + 0. Let d be (x\/(-3))\/((-4)\/12). What is the nearest to -0.1 in -3, d, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1bc - -44c2?\nAnswer: 468e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 7, m: 5}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - m**2 - 4 - 99*m + 90*m - 4*m**4 - 3 as j*m**2 + f*m**3 + c*m + r + y*m**4 and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0+44012.74\nAnswer: 44012.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1584)\/10)\/(-44))\/((-3)\/(-10))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11.717*146\nAnswer: -1710.682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-2) + 13*8\/(-112). Which is the biggest value? (a) -8\/3 (b) d (c) -2.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 30*q + 3312. What is the units digit of s(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1642.15 minus 251058?\nAnswer: -252700.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p - 4*p + 7*p)*(91 + 71 - 217).\nAnswer: 55*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*s**4\/7 - 209744*s**3\/7 - 342990*s**2 + 1326176*s\/7 - 167520\/7 = 0 for s.\nAnswer: -6980, -12, 1\/5, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 7. Suppose -p*j + 6520 = j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 928*n + 920*n = 1844*n - 212 for n.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -65.033 + 65. Let o = -2.967 + d. Which is the biggest value? (a) o (b) -0.4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 949895 divided by -5.\nAnswer: -189979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaa. Give prob of sequence aaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -5*l + 3, 18*l - 22*l + 6 = -2*z for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2103001233233 + -1?\nAnswer: -2103001233300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -l - 2*l - 23, -5*j + 5*l + 25 = 0. Let k = j + -7. What is the remainder when k is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z + 2. Suppose -24*t + 23*t = -4. Let n be (-80)\/35 - t\/(-14). Let m be h(n). Solve -m = -u - 3 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*r - 15. Suppose 12 = 3*y + 3*a, 5*y = r*a - 2*a + 38. Suppose 5*s + y = -8, -g - s + 16 = 0. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/2224 and -9\/556.\nAnswer: 2224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30870)\/(-19845))\/((-8)\/6)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1229280 - 1229282 + 2*i - 2*i + 3687839 - 1229277 + 3*i**2.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/85*20\/36.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -220, -344, -554, -844, -1208, -1640, -2134, -2684?\n\"Answer: i**3 - 49*i**2 + 16*i - 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2 + sqrt(272) + (sqrt(272) - sqrt(272)*1) + (sqrt(272) + -2)*-6 - (0 + (sqrt(272) + 1 + -4)*3))**2.\nAnswer: -1472*sqrt(17) + 17942","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*m - 93 + 93 in the form n + d*m and give d.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 11 - 9 + 132*t to the form m + h*t and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in months?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6672213.\nAnswer: 3, 82373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)\/sqrt(27))\/(1*sqrt(1331)) + ((sqrt(54)\/sqrt(12))\/(sqrt(18)\/sqrt(3)*3))**2*6.\nAnswer: sqrt(3)\/33 + 1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/4 and (-1092)\/585*(-6)\/16?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 285559 to the power of 1\/2, to the nearest integer?\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 150767 and 0.5?\nAnswer: 75383.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.00799306 rounded to two decimal places?\nAnswer: -4.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14.1 - -0.7. Round c to the nearest integer.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 49*y**3 + 2*y**2 + 2*y + 1. Calculate u(-1).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 6*v**2 + 196*v - 75. Determine d(-33).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a decade in months?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1520153 (base 6) in base 5?\nAnswer: 10310242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 3*k - 10 = -4*j, 0 = -4*j + 10*k - 12 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5 = -11. Solve -i*f + f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/1472506722?\nAnswer: -1\/1472506722","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/17*(12\/528 + 6\/(-22))?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2156706 (base 8) to base 13\nAnswer: 174631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1*p)**29\/((p**1*p)\/(p*p*p**(-3\/7))) assuming p is positive.\nAnswer: p**(403\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -21\/26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 2*l = -14, -466*d = -481*d - 4*l + 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 871 and 1417.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-924 + 922 - 16*m**2 - 95*m**2)*(-5*m + 4*m + 3*m) to the form p*m + x*m**2 + k*m**3 + c and give k.\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 59013 - 29224. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d**2 + 164895*d + 24994728 = 0 for d.\nAnswer: -54813, -152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of -m**7\/42 + 11*m**6\/12 + 17*m**5\/4 - 15*m**4 + 3470*m**2. Find k, given that r(k) = 0.\nAnswer: -3, 0, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1535 (b) 0.3 (c) -3 (d) 1\/3 (e) 0.04 (f) 1\/19 (g) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*r - 77*r + 795 = -493. Let x(f) = f**3 - 25*f**2 + 45*f + 29. Calculate x(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.627098 and 3.\nAnswer: 3.627098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 3*t + 163 - 788, 0 = -2*l - 8. What is the highest common divisor of t and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/5 (b) 1\/7 (c) 2726 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 2*h**3 + 776*h**2 + 1546*h + 772 = 0.\nAnswer: -386, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in 2, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1739 - 41.9939. Let n = v - -42. Let y = 0.22 + n. What is the nearest to -1 in 6\/11, -1, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -3*h - 5*r, 4*h - 2*r - 64 = -102 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -16941 + -1?\nAnswer: -16942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1912.9 - 1913. Which is bigger: -709 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkf when three letters picked without replacement from sksfsvsspksbvsb?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -243822 and 364889755.6?\nAnswer: 365133577.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 2.5, -2, -2\/9, -23?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 divided by -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -31949480, -31949478, -31949476, -31949474?\n\"Answer: 2*l - 31949482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -237\/134 + -1678\/737. Suppose 48 + 84 = 4*f. What is the common denominator of 402\/(-4)*1\/f and r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 13. Suppose 3*g = -2*t + 23, 0 = 3*g - 12 - p. Suppose -90 = -9*d + t*d. Solve 6 = 3*j - 3*c, -3*c - d = 4*j + 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/794, -14, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -6595860 divided by 5\nAnswer: -1319172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9597738.\nAnswer: 2, 3, 251, 6373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 23. Suppose p*w = 14*w - 20. Solve -10 = 4*x - 3*c, -c - 25 = w*x - 3 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*r + 137 - 543. Calculate the remainder when r is divided by 17.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-315)\/(-27) + 2 + 15\/(-9). Find the third derivative of -9*n - 78*n**2 + 2*n**4 + 3*n + 67*n**2 - q*n**5 wrt n.\nAnswer: -720*n**2 + 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + y**2 - y + 19. Let k be (3\/(-12)*0)\/(-1). Calculate the remainder when q(k) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6*-6*5\/90)\/(((-18)\/(-2))\/333).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (25 - 20*b - 25)*(-2*b + 3*b - 4*b)*((1 - 4 + 1)*(2 - 3 + 3) + 3 - 5 + 3) to x + m*b**2 + y*b and give m.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3 = 2*f. Suppose -f*q = -n + 10 - 36, -n + 14 = q. Let y(c) = -3*c - 5. Let r = 2795 - 2801. Let z(l) = -2*l - 3. What is q*z(p) + r*y(p)?\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*p**3 - 4*p**3 - 3*p**3.\nAnswer: -19*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2110*o**4 + 2661*o.\nAnswer: -25320*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 133769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*a**4 + 0*a + 30*a**3 + 0 - 3\/2*a**5 + 0*a**2.\nAnswer: -3*a**3*(a - 2)*(a + 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112652 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43.7 - 43.6. Let i = 82 + -82.1. Sort 2, -6, h, i in descending order.\nAnswer: 2, h, i, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15090 divided by -3018.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3200)*1 + sqrt(32) + sqrt(64)\/(sqrt(4)\/sqrt(2)))\/(-3*(sqrt(484) - sqrt(484)*-2))*3.\nAnswer: -8*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1699?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8437 + 36817. Does 11 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 156446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -421*p**4\/24 - 262*p**3\/3 + 38*p**2. Find the first derivative of c(n) wrt n.\nAnswer: -421","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -124500?\nAnswer: -124505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -309 = 6*n - 279 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 11:12 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 9 = 5*q, 2*b + 3*b = -20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - 34 - -17 - (-52 + -8 + 5)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 109 - 42. Suppose -k*t = -72*t + 70. What is the smallest common multiple of t and 22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -7, -25, -53, -91?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1406*o + 490*o = -19236 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 64 = 2*a + 2*w, 79 = 2*a + 5*w. What is the derivative of -28 + 29*y + a*y - 78*y wrt y?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 512\/20 - 6\/10. Which is smaller: 49\/2 or l?\nAnswer: 49\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - 10 - 7 - (6 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 119*n**2*r**5 + n**2*r + 54*r**5 - 2284*r wrt r?\nAnswer: 2380*n**2*r**3 + 1080*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 5 + 4)*(4*c - 3*c + 0*c) + (-4 + 4 - c)*(-5 + 7 + 1) in the form m*c + l and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - (-5)\/2*10. Suppose 0 = 9*n + 137 - 371. Which is smaller: m or n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, f: 5}. Give prob of sequence ff.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/(sqrt(12) - (sqrt(12) - (sqrt(36)\/sqrt(3) + sqrt(12)))) - (sqrt(19) - (-5 + sqrt(19) + 0)).\nAnswer: -5 + sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -13. Let k be 4\/6*(1 + i). Solve 4*b - 2 - 9 = -3*u, 0 = -k*b - 2*u + 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3 (b) 1 (c) 1\/41 (d) 5 (e) 3 (f) 278\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v + 13*v - 33*v + 48 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 12. Suppose p + 2*u - 54 = 0, -5*p + m*p - 4*u + 58 = 0. Does 25 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-182))\/((42\/154)\/((-630)\/(-165)))?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5365083 (base 9) in base 13?\nAnswer: 799935","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (165\/(-99))\/(10\/12)*52\/182.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 427*r - 22632. Give c(53).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-1 - 3\/(-4)*2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -0.0652, -5, -0.1, 2\/11, -1\/8?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/9 (b) -7 (c) 1\/2 (d) -24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -10, 5, 3.\nAnswer: -10, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (d**4 + 2*d**3 - 2*d**3)*(-2821 + 527 - 256 + (-1 + 0 + 2)*(0 + 1 - 2)) as g*d**4 + m*d + j*d**3 + f + y*d**2 and give g.\nAnswer: -2551","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -17, 24.42, -1\/4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 2*x**2 + 96*x - 20. Determine t(10).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12421165 divided by 2484233.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4677 + 2097 + 2648 - g**3.\nAnswer: -g**3 + 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(1 + -2) - -4 - 2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2951004 by -210786.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p**2 + 1183*p - 12176. Give c(10).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 9:49 AM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*v + 1900 = 2*k - 53*v, 0 = -2*v. Suppose -t + 16 = -0*t. Suppose 11*d = t*d - k. List the prime factors of d.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 6*g - 12924 = 2*i, -4*g - i + 12912 = 0. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0024066 rounded to four decimal places?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 6884, 0.3, -1\/7, -15, -1, -2\/9, 0.03?\nAnswer: 6884","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*k - 3*t + 4 = -12*k, 4*k = -4*t + 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 943 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 5 - 1 - 3 - 62*d**3.\nAnswer: -62*d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -202632085*f + 264570938 wrt f.\nAnswer: -202632085","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.29 in -1\/7, 24\/11, 4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 5*g - 40. Let i be j(11). Let o be (27\/i - 2)*10\/4. Which is the smallest value? (a) 2 (b) o (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y\/y**(-2\/11))\/y)\/(y\/y**(2\/21))*(y**(-1)*y)**(3\/14)*((y\/(y\/(y*y*y**(-2\/3)))*y*y)\/(y**(2\/5)*y*y))\/(y**(2\/5)*y**(-2)) assuming y is positive.\nAnswer: y**(1082\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -3*a + 29 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/2)\/((-285)\/1710)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8237*a - 7147 = -7082*a - 77602 for a.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 603 - 270. Let x = f + -381. Which is smaller: x or -43?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -20, 4*f = -4*t - 5 - 27. Let o be (t - 0)*(48\/(-18) - -3). Sort 4, -4, -22, o in descending order.\nAnswer: 4, o, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -444*a + 9. Let z(m) = -297*m + 6. Calculate -5*h(w) + 8*z(w).\nAnswer: -156*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 1:04 PM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5.833757t?\nAnswer: 5833757000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vmoyqfyvo. Give prob of sequence qy.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 2*s**3 - 208*s**2 + 6794*s - 66564 = 0.\nAnswer: 18, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 8:43 AM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -15*n + 33. Let b(y) = 7*y - 16. Calculate -9*b(i) - 4*q(i).\nAnswer: -3*i + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - n - 2 - 2*n + 3*n + 5*n - 3 + n + 3 + (n + 0*n + n)*(0 + 0 + 1))*(0*n + 4*n - n).\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of p**5\/140 - 11*p**4\/56 - 6*p**3\/7 + 4*p**2 + 16*p. Factor d(a).\nAnswer: 3*(a - 12)*(a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11328 + 32?\nAnswer: -11286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -j - 13 - 1, -2*j + 2 = -4*z. Sort -2, 0, 3, j.\nAnswer: j, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 191*v**3 + v + 1. Let c be a(4). Suppose z + 22399 = 2*u, 2*u + 4*z = 10175 + c. What is u rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 20884084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17020?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((1\/(-279))\/((-6)\/10359) + -7)\/1 and -8\/31.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.17 + 0.17. What is the nearest to -0.1 in 12, -0.3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5881 is divided by 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-114)\/(-95) - 2\/10\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -2*p**5\/9 - 3424*p**4\/9 - 493018*p**3\/3 - 1287088*p**2 + 1451808*p = 0.\nAnswer: -852, -9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -z. Which is greater: z or -6\/25?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 6*x. Let k(m) = 12*m. Let o(s) = 3*k(s) - 5*v(s). Let l(g) = 3*g**2. Calculate o(l(a)).\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, d: 1, x: 1}. Give prob of sequence ix.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/4)\/((-5)\/4200) + 5. Let d = 415 + o. Solve -4 = t - d*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -5*u + 5*b, -b - 23 = -3*u - 0*b. Let j = 6 - u. Is 56 - (5 - (1 - j)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -551*z + 27. Let k(m) = 37468*m - 1827. Let p(l) = 3*k(l) + 203*n(l). Let a(s) = -s. Calculate a(p(x)).\nAnswer: -551*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + s = -200, 8*o = 13*o - s - 503. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3458859 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 29 = -4*k, 3*v - 2*k = -v + 18. Suppose -48 = -v*g + 22. Suppose -g*i = -9*i. Solve 2*m - 2*r - 6 = 0, i = -4*m - m - 5*r - 25 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w\/(w*w**(-1\/3)*w*w))*w**(-7)*(w**(-2\/7)\/w)**26*((w\/w**(2\/5))\/(w*w\/w**(-5\/6)))\/(w**6*w\/(w**(-2\/17)\/w)) assuming w is positive.\nAnswer: w**(-171763\/3570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -5*m**2 + 1. Let s be b(-2). Let a(y) = -y**3 + 16*y**2 - 31*y + 25. Suppose 0 = 9*l - 70 - 56. Let u be a(l). Which is smaller: u or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37067, 73819, 110573, 147329, 184087?\nAnswer: 220847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10995*c**3 + 5268*c**3 + 5616*c**3 - 5*c**2 + 5*c**2.\nAnswer: -111*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12419?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 14116023 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -9*m. Let v(n) = -n**3 - 5*n**2 + 7*n + 8. Let f be v(-6). Let s(j) = 4*j - f*j - 5*j + j. What is s(q(h))?\nAnswer: 18*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/6 and -58\/3501909.\nAnswer: 7003818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 1. Suppose 4*d = 4*f - a*f + 4, f - 3*d + 5 = 0. Suppose 0*m + 93 = 5*k - 2*m, f*k - m = 75. Solve -s = -2, 6*s - s - k = 3*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -261 or -259?\nAnswer: -259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - m - 9. Let x be 174\/(-21) - 10\/(-35). List the prime factors of q(x).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33906?\nAnswer: 2, 3, 5651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) - (sqrt(98) + 0)**2) + 3.\nAnswer: -95 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y - 5*y + 740. Is 30 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*j + j + 2008 = 0, -4*p + 3*j - 8032 = 0. Let a be p\/(-6) - 2\/(-6). Suppose a = 3*t + 2*q, -t + 3*q + 441 = 3*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -2*a**4 + 3*a**3 + 4. What is the third derivative of w(y) wrt y?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2667*i**2*j - 8986*i**2 - 647*i*j - 48*j + 204 wrt j.\nAnswer: -2667*i**2 - 647*i - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -2*g + 3, -4*g - 2*f + 30 = -12. Suppose g = -4*p + 7*p. Let k = -4 + 5. Which is greater: k or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 30 = 7*u - 3*u, -10 = a + 5*u. Let c = a - -9. Which is smaller: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.66 + -8.44. Let k = n + 11. Let j = -5 - -16\/3. Sort j, 2, k in decreasing order.\nAnswer: 2, j, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cp when two letters picked without replacement from ppocppccoocopoopppoo?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -5*k + 1. What is s(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h - 6. Let j be g(5). Let x(q) = -2*q**2 + 10*q + 22. Let r be x(-2). Let p be (j + r\/(-7))\/(-5). Is p not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a decade in years?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 257 and 37823204?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*90748\nAnswer: 9074.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8910 and 869616?\nAnswer: 4348080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1, -14, -21, -14, 13?\n\"Answer: z**3 - 2*z**2 - 16*z + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4785.065 litres to millilitres.\nAnswer: 4785065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**4\/7 + 46*g**3\/7 + 45*g**2\/7 = 0.\nAnswer: -45, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/4)\/(18\/24). Let m be ((-56)\/498)\/(s\/(-21)). Let g = m + 6573\/830. What is the common denominator of g and 11\/9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5638 + 5647. What is the remainder when 3167 is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 36*l**2 + 3*l - 5. Give d(1).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 22150, 22565, 22992, 23437, 23906, 24405?\n\"Answer: a**3 + 408*a + 21741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -1\/2*l**2 + 3*l - 5\/24*l**4 + 1\/15*l**5 - 1\/120*l**6 + 0 + 1\/3*l**3. Let o(j) be the first derivative of f(j). Factor o(p).\nAnswer: -(p - 2)*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.6 - 0.9. Let t = 603 + -603.18. Which is the second smallest value? (a) -0.5 (b) o (c) t (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4580, 4581, 4582, 4583, 4584?\n\"Answer: b + 4579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30816 = -27*o + 3*o. Is o a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (5 - (-40 + 2 - -14))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 45061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g - 8. What is z(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 432*l - 5 - 698*l - 421*l + 2 - 776*l to a + x*l and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m + 1. Let t = 11 + 0. Let w = -8 + t. Let i be n(w). Solve b + 12 = -4*x, -5*b = -i*x - b - 12 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -72*p + 409 + 383 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4602\/(-531)*(-1)\/26.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - o = 4, -16*o + 16 = -5*t - 20*o for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-59)\/(-3)*-1*-3. Let o be ((-536)\/(-402))\/((12\/27)\/((-413)\/(-21))). Is o < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4269*x + 17113. Give k(-4).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*y = -5*j - 27*y + 9, 5*j = -y + 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-40)\/12)\/((-8)\/9). Which is smaller: f or 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 50*r - 2. Let m be i(0). Let d be (0 - m\/5) + (-190848)\/(-280). Calculate the highest common factor of d and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6436 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: What is next in -23329, -93350, -210051, -373432?\nAnswer: -583493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -x + c, -x + 4*c = 2*c - 20. What is the greatest common factor of x and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v - 3*v + 3*f + 246, 0 = 4*v - 5*f - 331. Let c = v - 79. Solve -12 = -c*n - 3*n + 4*q, 0 = 3*q for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -294 >= -295?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + w = 2. Let d be (2\/(-4))\/(33\/22)*-9. Let n be 34\/(-51) + (-38)\/6. Put n, d, w in decreasing order.\nAnswer: d, w, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 0.6 (c) 4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**2 - 82331 + 82331.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 10 (b) -72 (c) 6 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -6. Suppose 3143*w - 4806 = 3149*w. Let c = w - -4007\/5. What is the closest to f in c, -0.1, -0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203926011 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 460, 860, 1254, 1642, 2024, 2400?\nAnswer: 2770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -5\/8 (c) 2\/7 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 2*m - 6*m + 11, -2*m + 4 = -4*u. Suppose 2*d - 3*a = 5*d - 2415, 3224 = m*d + 2*a. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.4 (b) 0.2969 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3*c + 0*c + 67 = 0, -3*h + 3*c = -54. Suppose 0 = 2*s, -5*g - 9*s + h*s = -20. Solve -2*x + 3*x = g*j + 7, -3*j + 5*x = 18 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 1 + 1)*(-1 + 2*u + 1)*(15 - 179 - 9)*(2 - 5 + 2).\nAnswer: -346*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**2)**(-25\/6)\/(l**(-2\/5)\/(l*l*l**(-4)*l*l))*(l**7\/l*l**4\/l)**(-14\/9) assuming l is positive.\nAnswer: l**(-329\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20024782 to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -23a9 (base 13) in base 7?\nAnswer: -20460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/6)\/(((-264)\/(-126))\/22)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -423*s**2 - 3*s - 2. Let o be b(-3). Round o to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**7\/c**(1\/8)*c\/(c*c**3\/c*c)*c*c**(2\/13)\/c)**(15\/4))**(-27) assuming c is positive.\nAnswer: c**(-169695\/416)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, g: 1, w: 9, o: 4}. Give prob of sequence wow.\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-3*-5*1*sqrt(18) - (sqrt(90) + (sqrt(90) - sqrt(90)*1))\/(sqrt(20)\/sqrt(36) - sqrt(5))) + -4)**2.\nAnswer: -9833\/2 + 396*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45145 = -5*t + 2*i, 9056 = t - 23*i + 28*i. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 4*z**2 + 5*z - 1. Calculate w(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/8788 and 21\/556?\nAnswer: 1221532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 2) + (2 - -240). Let g = -112 + l. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -172 + 1057\/6. Find the common denominator of u and (17\/1)\/(13 + -5).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 483*y - 3. Let q(f) = 67310*f. Determine q(p(o)).\nAnswer: 32510730*o - 201930","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 5*t**3\/3 + 1321*t**2\/2 + 65538*t + 19602 = 0.\nAnswer: -198, -3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 36, 80, 162, 294, 488?\nAnswer: 756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.944 + 3. Let f = 4.944 + b. What is the third smallest value in 2, f, -2\/13, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cxqxclqrxxqxlq. Give prob of picking 1 l and 2 q.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1068 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.3, 0.41.\nAnswer: 0.3, 0.41, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = y - 6. Let b(p) = 2*p**3 - 5*p**2 + 3*p - 4. Let c be b(y). Let j be 4\/14 - 46\/c. Let a(i) = -i - 1. What is a(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(17) - (sqrt(425) + sqrt(17)))*-6 - (sqrt(425) + sqrt(425)*-2 + 1).\nAnswer: -1 + 125*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 5*m + 43, 0 = 3*m - m + 4*c + 22. Let a = -11 - m. Put a, 5, 0 in descending order.\nAnswer: 5, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.71530465 rounded to two decimal places?\nAnswer: -0.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 53, 187, 415, 743, 1177, 1723, 2387, 3175?\n\"Answer: o**3 + 41*o**2 + 4*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -41 + 51 + 2 + -5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 275 + -274. Find the second derivative of 16*o - 10*o + 23*o - 113*o**2 - x + 3 + 0 wrt o.\nAnswer: -226","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00011041 to five dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1047*u**3 - 434*u**3 - 599*u**3.\nAnswer: 14*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 143779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, b: 3}. Give prob of sequence vv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 s when two letters picked without replacement from {u: 7, s: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1248016 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 13 - 20*o + 0*o + 17 - 29. What is h(-2)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32805*d**4 - 110727*d**3 - 36617*d**2 + 955*d - 6 = 0. Calculate d.\nAnswer: -3, -2\/5, 1\/81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.06 + 0.84. Let n = 106 + -76. Let i be 10\/n*6\/(-5). Is q greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2 - (-2)\/4)*15334\/(-1870).\nAnswer: -41\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -212152251 (base 6) to base 11.\nAnswer: -212a420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lzlz when four letters picked without replacement from zllz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -1. Let w be (c\/5)\/(8\/20). Let u = 3 - w. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0 (b) -137 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2.31 * 97\nAnswer: 224.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 10:56 PM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 22219611 a multiple of 156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 - 3*l**4 - 15 - l + (l + 3*l + l)*(-5 + 5 + 3*l)*(-165*l**2 + 11752 - 11752) as d + g*l**3 + v*l**2 + q*l + b*l**4 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -24*t - 40. Determine c(-4).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.200766 months in years?\nAnswer: 0.2667305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4816657 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, -3, 42 in ascending order.\nAnswer: -23, -3, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from cwcwcccccwwgc?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*m**3*v + 2070*m**3 + 79*m*v with respect to v.\nAnswer: 2*m**3 + 79*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17d (base 16) to base 10.\nAnswer: -381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-5\/2)\/(b*(b*b**(3\/5)\/b*b)\/b)*b\/(b*b*b*b**0*b)*b**(-1)*(b*b**(-1\/3)*b)**(-28)\/((b*b\/(b*b\/b**(-3)*b)*b)\/(b**(-9)\/b)) assuming b is positive.\nAnswer: b**(-1853\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1.752*-2\nAnswer: -3.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/12479770 and 61\/172850?\nAnswer: 62398850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -780?\nAnswer: -783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + -1. Let s = -25.9 + 25.8996. Let z = s + 0.0004. Which is the closest to -55? (a) -0.2 (b) z (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 10:23 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.09 in 26, 5974, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -221931 <= -1.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -237 - -252. Suppose 1242 = a*g - 9*g. Is 21 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 5*v - 3*v - 5*v + 4*v. Let a(u) be the second derivative of 0 + 0*u**2 + 23*u + 1\/3*u**3. Give a(o(t)).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 - (35 + 22 + -25)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 + -17 - -15) + -4 - (0 - -13).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = p + 5*s + 16, 4*s + 8 = -2*p. Suppose -21 = -d - p. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -13. Suppose -3*z + 29 = l. Solve 7 + z = -4*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -v**5\/15 + 6*v**3 + 37*v**2. What is u in q(u) = 0?\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2025 divided by 3?\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 342234488 to the power of 1\/3, to the nearest integer?\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75*1039.\nAnswer: 77925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 144\/13 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1548\/(-14) + 18\/(-6). Let r = 114 + a. Find p such that 1\/7 + 3\/7*p**2 + 1\/7*p**3 + r*p = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04 and 12455.\nAnswer: 498.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -10195*((-1633)\/710 + ((-15)\/6 - -3)) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 5:55 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/(-14) - -3*(-17705)\/(-105)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - 28*f - 26. Determine m(29).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 9 (b) 1\/3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*g**3 - 29*g**3 - 91*g**3.\nAnswer: -104*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + 2*z + 10. Give a(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 611*p**2 + 96*p**6 + 16*p**3 - 18*p**3 + 36*p**6 + 173*p**6 wrt p.\nAnswer: 36600*p**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yyyyyyayyyayyyayaa.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = -249*g + 251*g. What is the highest common divisor of g and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 6*d + 106 = 9*d, 3*k = -3*d + 306. Let i = k - 100. Solve i = 2*x - 3*x + 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkww. Give prob of picking 1 w and 1 k.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-10 - -7) - (0 + -7 + 0)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 36.4 in 3, -988, -2\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45, -34, -9, 36, 107, 210, 351?\nAnswer: 536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6651751 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59015.5t to milligrams.\nAnswer: 59015500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*u = 143*u - 112 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -26 divided by -688\nAnswer: 13\/344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -43*s**3 + s**2 + 1. Let o(m) = m**3 - m**2 - 1. Calculate -o(n) - t(n).\nAnswer: 42*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 521687?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19837684231 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 741\/133 + (3 - (-100)\/(-28))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32\/277 + 11677\/2770. What is the common denominator of g and -2\/93?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -11*u**4\/24 - u**3\/6 + 12*u**2 + 24. Let x(d) be the second derivative of k(d). Let f be -2*(-2)\/12*-3. What is x(f)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51 + 2 + 428*i - 53)*(2*i + i - 4*i).\nAnswer: -428*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 12:15 PM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k. Let f(t) be the third derivative of t**4\/6 - 59*t**3\/6 - t**2 + 25*t. Determine j(f(l)).\nAnswer: 4*l - 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 + 36. Let q = 55215.9451 - 55219. Let x = 0.0549 + q. What is the third smallest value in x, m, -2\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 - 1)*(x - 4*x + 2*x + (309*x + 471*x - 129*x)*(-2 + 4 + 0)).\nAnswer: -3903*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (625\/3750)\/(((-20)\/984)\/(-5))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5*g**2 + 13*g - 25*g**2 + 5*g**2)*(-6 + 7 - 14).\nAnswer: 195*g**2 - 169*g - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.1 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59\/((-16520)\/(-200))*((-49)\/6)\/(-7).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8164263978 to the power of 1\/3, to the nearest integer?\nAnswer: 2014","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 489162 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*b**4 + 25*b**3 - 15*b**2 - 5*b + 5 = 0. What is b?\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22183 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*a**2 - 6*a**2 + 3*a**2)*(-37*a - 23*a + 83*a) in the form d*a**3 + q*a**2 + p*a + n and give d.\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 48 - 54. Which is the third biggest value? (a) 2\/9 (b) -3\/7 (c) -5 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 2*m + 29, -4*j - 9 - 3 = -4*m. What is the nearest to 0.1 in 1\/4, m, 11?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5701*k**6 - 466*k**2 + 5*k wrt k.\nAnswer: -684120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/490 and -32\/85.\nAnswer: 8330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 30 + -713684\nAnswer: -713654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.2 + 12.2. Sort j, 3, -5, 1 in decreasing order.\nAnswer: j, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + v**2 - 1. Let x(o) = -o**4 + 4*o**3 - o**2 + 4. Let i(z) = -4*j(z) - x(z). What is the third derivative of i(f) wrt f?\nAnswer: 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**8\/s*s)\/s**(-1\/4))**(-25)*(s**(1\/3))**(-3\/4)\/(s**(-6)*s**0) assuming s is positive.\nAnswer: s**(-401\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1492)\/(-10)*(41 + (-4123)\/(-62))?\nAnswer: 43, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2160132?\nAnswer: 2, 3, 13, 61, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2519160 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -13*y**3 + 125*y**2 + 9*y + 4. Let w(a) = 3*a**3 - 31*a**2 - 2*a - 1. What is -2*q(g) - 9*w(g)?\nAnswer: -g**3 + 29*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1454 (b) -48 (c) 0.03 (d) 4 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -165.47 and 1.46.\nAnswer: -164.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*n - 6 = l, -3*n = -2*l - 14. Suppose -2*x = 6, b - n*x + 3*x = -10. Let h = 6 - b. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 4:42 PM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 - 2*g**2 + 2*g**2)*(-2119 + 80*g**3 + 1061 + 1058).\nAnswer: -80*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 10. Let z = 0.947 - -0.053. What is the closest to z in 2, 1, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a**2 - 94340*a - 566184 = 0.\nAnswer: -6, 23591","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 4*a - 5, -2*d - a + 12 = 2. Solve 2*c = 10, 0 = -4*p + d*p - 2*c + 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/174 and -77\/4?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2267 - -2723.1. Let q = s - 527.16. Let r = q + 60.3. Round r to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 3 + 5 - 34)*(9*q + 18*q + 30*q).\nAnswer: -2223*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 g when two letters picked without replacement from {o: 1, y: 1, v: 1, w: 1, s: 2, g: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 690910276?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*x - 21 = -75*x - 21. Solve 39 = -4*q + t + 51, 4*q + t - 4 = x for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v. Let g(b) = 110*b**2. Give g(p(k)).\nAnswer: 110*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16188704 to the nearest integer?\nAnswer: 4024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-s + 2*s**2 + s)*(1 - 2*s - 1) + 3*s**3 - 6*s**3 + 2*s**3 + 0*s**3 + s**3 - 3*s**3 + 129*s**3 + 177*s - 177*s)*(-39*s - 12*s + 16*s).\nAnswer: -4270*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of 9*g**4\/4 + g**3\/6 + 243*g**2. Let y(n) = n. Give c(y(a)).\nAnswer: 54*a + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16740?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - n + 16 = 3*n, -2*z - 4*n + 16 = 0. Let y be (-8505)\/(-5) - (z - -1). What is y rounded to the nearest one hundred?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 563412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1486072423 to the power of 1\/5, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + h = -8, -5*j + 0*j + 2*h + 28 = 0. Let k be (-42)\/(-5) - j\/10. Suppose -d = -0*d - k. Solve 4*p - 16 = w, 0 = -2*p - 3*w + 5*w + d for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*l**3 - 8 + 13 - 5.\nAnswer: -94*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4*s**2 - 8*s - 544. Let t(l) = -l**2 - 4*l + 2. What is -g(i) + 2*t(i)?\nAnswer: 2*i**2 + 548","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4815634 to the power of 1\/2, to the nearest integer?\nAnswer: 2194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2940, 5875, 8810, 11745, 14680, 17615?\nAnswer: 20550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-3)\/6*-2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-6) + (-665)\/(-1617). Let t = 95\/231 - s. Let j = 0.5 - 0. What is the closest to 2\/3 in t, j, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/9 and 6\/2 - (-42)\/48.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 22 - 7. Suppose -o*w = 12, 11*u - 2*w - 8 = 6*u. Which is smaller: u or 2\/375?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 179550 and 8109675?\nAnswer: 48658050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of x**8\/10080 - x**7\/3780 - x**5\/30 + x**2. Let p(a) be the third derivative of t(a). What is b in p(b) = 0?\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2*(-1)\/(-2))\/(-1). Let m = 8598 + -8593.973. Let g = 0.027 - m. Which is the fourth biggest value? (a) 2 (b) g (c) -3 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.8 in 1\/4, 5, 1, -1, -3\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of h**5\/60 + 5*h**4\/24 + h**3\/2 + 9*h**2. What are the prime factors of n(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.4, 5, 12406 in decreasing order.\nAnswer: 12406, 5, -2.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -16790000 rounded to the nearest 100000?\nAnswer: -16800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/((-2)\/(-2)) + -50 + 53. What is the closest to 0.4 in 1, -0.3, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -7*j - 8. Let r(n) = 6*n + 7. Let l(g) = g**2 + 12*g - 5. Let s be l(-12). What is s*r(k) - 4*v(k)?\nAnswer: -2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -64*j**2*p**2 - 6*j**2*p - 4*p wrt p.\nAnswer: -128*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**36)**12\/(q*q**(-2\/35)*(q\/(q\/(q**(-1\/10)\/q)))\/q*q) assuming q is positive.\nAnswer: q**(30251\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -m + 22, 11*w - 62 = -4*m + 21. Solve w*h - 3*v = -15, -h - 4*v = -3*h - 6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2232*n + 3455 - 9*n**2 - 2520 + 3513 + 13*n**2.\nAnswer: 4*(n - 556)*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1164 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/18927 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**7\/g)*g**(-13))**1 assuming g is positive.\nAnswer: g**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4674 + 4689. Solve -t*s + 34 = 2*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/13 - (12 + -13). Which is smaller: k or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10440561 and 45978.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*g - 3*g - 2*g)*(-6 + 6 + 8*g) + (-5 + 5 + 2*g)*(g + 1 - 1) + (3*g - 6*g + 4*g)*(173*g + 86*g - 74*g) to the form s + u*g + h*g**2 and give h.\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10947 + -10804691\/987. Let a be 262558\/(-7896) - (-1)\/(-4). Let x = a - v. Find the common denominator of x and 52\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 22. Let j = 37 - q. Calculate the highest common factor of 22 and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 21*r**3 - 6*r**2 - 18*r - 3. Let b(n) = -n**4 - 20*n**3 + 5*n**2 + 18*n + 2. Let q(w) = -2*a(w) - 3*b(w). Determine i so that q(i) = 0.\nAnswer: -6, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -540, -2203, -4980, -8877, -13900, -20055, -27348, -35785?\nAnswer: -45372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36 + 64. What is the hundreds digit of (-8)\/(-28) - (-2792)\/a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -84796?\nAnswer: 25438.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 q when three letters picked without replacement from qyyyjyqkkkjryyyytqkq?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3*s = 53, -26*k + 82 = -22*k + 2*s. Solve k - 1 = -7*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j + 3*j - 9 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/3288 and 61\/78.\nAnswer: 42744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**5 + 360*h**4 - 6117*h**3 - 1237554*h**2 + 2492004*h - 1248696 = 0. Calculate h.\nAnswer: -94, -82, 1, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179 = -4*z + 267. Let j = 267 + -25. What is the greatest common divisor of z and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/5)*z)**(2\/17)\/((z**(-9)\/z)\/(z**(-2\/7)\/z)))**(-30) assuming z is positive.\nAnswer: z**(-31362\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (((-320)\/(-190))\/16)\/1\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -590.36887088 plus 1?\nAnswer: -589.36887088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in four fifteenths of a hour?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 3 (c) -2\/15 (d) -2\/5 (e) 1.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -6 - 19*m - 29*m + 46*m. Let x be s(-9). Let n be x\/18*9\/2. Solve -3*c = -4*u - n, -3*c + 5*u + 5 = c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 78*m = -82*m - 29, s = -3*m - 12. Let i(n) be the first derivative of 6*n - 3\/4*n**4 - 3\/5*n**5 + 21 + 15\/2*n**2 + s*n**3. Factor i(t).\nAnswer: -3*(t - 2)*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16715 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2806189 (base 13) to base 15.\nAnswer: -1199651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -s + 2. Suppose s*p + 39 = 4*y, y + 2*y - 6 = -4*p. Suppose 15*n - y*n - 369 = 0. List the prime factors of n.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3143256 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -13, -4 in ascending order.\nAnswer: -13, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 13*s = 8*s + 12, -o + 3*s - 6 = 0. Does 3 divide (1 - (-8)\/(-12))\/(o\/117)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*h = -66*h - 180 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 3:59 PM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 15*s + 39 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 329 + 8*x - 656 + 332 + 3*x**2 - 28*x to k + u*x + b*x**2 and give u.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 7. Let u = -6 + 5.82. Let s = 0.12 - u. What is the second biggest value in 0.1, s, m?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 20727 = -3*r + 20691, -3*r = 2*u + 24 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -672260901*p**3 - 2*p**2 - 6*p - 1613957 wrt p.\nAnswer: -4033565406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -331711445.\nAnswer: -331711447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.86365ns to hours.\nAnswer: 0.000000000002462125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 99417, 198889, 298363, 397839, 497317, 596797?\n\"Answer: a**2 + 99469*a - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 92663516 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78, -108, -80, 18, 198, 472, 852, 1350?\nAnswer: 1978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1410\/((-60)\/12) + 0\/1. Find the common denominator of 1 + (w\/180 - (-2)\/(-15)) and (4\/10)\/((-12)\/207).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 5*b**2 + 4*b + 4. Let g be s(4). Suppose 0 = g*j - 88 - 212. Calculate the highest common factor of j and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sttiisisissjsjisizis. Give prob of sequence ttj.\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 1414?\nAnswer: -1421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -4*t**2 + 2*t**3 - 4 + t + 2*t - t**3 + t. Let k be m(4). Suppose r + r - 3*j = 15, -k = 4*j. Solve x + 4*n = -10, r*x + 2*n + 10 = -0*n for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-25)\/280)\/(3\/12))\/((-40)\/42)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 53*i + 387. Let o be x(-7). Suppose 4*b - 60 = 16. Suppose b = 3*m - g, 2*m - 23 - 1 = -5*g. Solve -3*v - 4*f = -v + o, -5*v = -f + m for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -51.063 - -0.063. Let s = d - -50.9. Let j = -9 + 46\/5. Which is the third biggest value? (a) s (b) -6 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(147) - (sqrt(15)\/sqrt(5))**2*5.\nAnswer: -21*sqrt(3) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of c**3\/6 + 9*c**2\/2 - 2*c. Let a be q(-7). Calculate the common denominator of (a\/(-16))\/((-3)\/30) and 101\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37.77 - 0.23. Let i = 22.3 + y. What is i rounded to zero decimal places?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -i**8\/28 + 77*i**6\/15 - i**5\/10 - i**4\/6 + i**3\/3 - 11*i**2\/2 + 1348*i. Find the third derivative of g(m) wrt m.\nAnswer: -240*m**3 + 3696*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 10:15 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*a + 10199 + 441 = 0. What is the second derivative of a - 56*t**5 - 6*t - 264 - 266 wrt t?\nAnswer: -1120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 3\/5, -1\/3, -1\/13, 0.3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1494 and 81.\nAnswer: 13446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/54*(-44388)\/(-134808).\nAnswer: -6\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(135\/(-6)))\/(((-2415)\/45)\/(-23))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*j**4 + j**3 - j**4 + 18*j**2 + 41*j**4 - 19*j**2 - 1 in the form o*j**4 + g*j**3 + v*j + h*j**2 + n and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 11. Suppose n*u + 4*p + 7 = 167, 4*p + 92 = 2*u. List the prime factors of u.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-4*(((sqrt(75) - (1*sqrt(75) + sqrt(75))) + sqrt(3))*-6 + sqrt(432) + -2*sqrt(3)*-2)**2.\nAnswer: -96000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -558 divided by -186.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10963387, -21926776, -32890165?\n\"Answer: -10963389*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of r**3\/4 - 99*r**2\/8 - 51*r\/2 - 842. Factor k(o).\nAnswer: 3*(o - 34)*(o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 14*o**2 - 23*o + 17. Suppose -5*j = -15, 5*y - 3*y = -5*j - 9. Let s be p(y). Solve s*c = -3*k + 5 - 15, -5*k - c - 24 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 7*a**2 - 6*a - 68. Let r be f(-6). Put r, -5, -6 in increasing order.\nAnswer: -6, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47586 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -6. Suppose v - 55 = -4*v + 2*y, -61 = -c*v + 5*y. Does 9 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -12*a - 31. Determine g(17).\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -197101759*y**3 + 441079182*y wrt y?\nAnswer: -1182610554*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75 and 71775.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-10224000)\/(-672))\/(29\/28 - 1). What is s rounded to the nearest ten thousand?\nAnswer: 430000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiwwwwiw. What is prob of sequence iii?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/7 - 1140*w\/7 - 162450\/7.\nAnswer: -2*(w + 285)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - a - 19*a = 0. Let i(k) = -2*k + 6 + 0 + a - 1. Let v(f) = -2*f. What is i(v(u))?\nAnswer: 4*u + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**2 + 8*d**2 + 5*d**2 + 0*d**2.\nAnswer: 13*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 889 = -5*z + 903, z - 3*q = -8 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 688\/215 + (-2)\/10. Solve 5*q = r*f - 1, 0 = -4*f - f + 5*q - 5 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/7))**45\/(s**(-1\/2))**(-21) assuming s is positive.\nAnswer: s**(-327\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (3 + -1 - (34 + -6))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4*q + 21 = 0, 0*y = y - 2*q - 3. Suppose 4 = -r, 202 = -3*f + y*f - 2*r. Which is greater: f or 98?\nAnswer: 98","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 25, -14, -123, -308, -575, -930?\n\"Answer: -i**3 - 29*i**2 + 55*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 2*p**2 + 2*p + 2. Let v(f) = -5*f**3 - 9*f**2 + 9*f + 9. Let l be (-4)\/10 - (-24)\/10. Suppose 4 = -l*c + 8. Give c*v(z) - 9*a(z).\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4474*d**2 + 28*d + 1. Is f(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32853279?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 16*f**2 + 28*f - 28. Let p(u) = 3*u**2 + 5*u - 5. Let s(i) = 28*p(i) - 5*x(i). Suppose 7*a = 6 - 13. Give s(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-40))\/(2\/(-96)) + 3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*6*(3498\/(-44))\/53?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 j, and 2 i when four letters picked without replacement from nijinj?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 302 and 131421793?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4\/22 + (-15950)\/(-121)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 424934520 a multiple of 6296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1580909575 a multiple of 239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 226363, 226278, 226189, 226096?\n\"Answer: -2*r**2 - 79*r + 226444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -6*u - 24*u - 32 - 13 - 5*u**2 = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -38*y**2 - 2342*y - 104. What is the thousands digit of c(-36)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -15*x**2. Let q(j) = 13791982*j. Give o(q(n)).\nAnswer: -2853281512324860*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 24. Let p = -1385\/2 - -717. Calculate the common denominator of 36\/f*(-131)\/18 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2540 + 2540 - 3*t**3.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2424 and 11312.\nAnswer: 33936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 d when two letters picked without replacement from xrxtffddyxryfyx.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8.3, 0.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11.81 - 1.91. Let p = l + -10. Let h = -39.2 + 39. Which is the closest to -2\/3? (a) p (b) 5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 - l**2 - l**2)*(l - l + l) - l**3 + 2*l**3 - 3*l**3 + 164208*l**3 + 164244*l**3 - 11*l - 328451*l**3 + 20.\nAnswer: -2*l**3 - 11*l + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -661322, -2645281, -5951876, -10581101, -16532950, -23807417, -32404496?\n\"Answer: p**3 - 661324*p**2 + 6*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/3)\/t**(-1\/3))**(-2\/35)\/((t\/(((t*t**(-1\/4)*t)\/t)\/t))**(6\/7))**(-14\/5) assuming t is positive.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 33 - 96. Let h be 2\/(-7) - (-32)\/l. Suppose -4*g + 34 = 2*d, -467*d + 463*d + 19 = g. Put -0.1, -11, h, d in decreasing order.\nAnswer: d, h, -0.1, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 2555916.0121 - 2556035. Let o = 119 + c. What is o rounded to 3 decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 213682 and 1923138?\nAnswer: 1923138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - a = 2, -5*l - 6 = 2*a + 16. Let q(t) = -2*t + 7. Let h be q(l). Suppose -3*s + h - 13 = 0. Which is greater: s or 5\/6?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*h + 524 = -1294 + 288 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-21) + 3483\/63. Calculate the highest common divisor of 10 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 273754?\nAnswer: 2, 13, 10529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) + 2 + sqrt(612))**2 + 5.\nAnswer: 48*sqrt(17) + 2457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31999, 64087, 96191, 128311, 160447, 192599?\nAnswer: 224767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1182431\/7 - -168355. Are -563 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cmvmvmvtcm. What is prob of picking 2 m?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 10*h**2 - h - 11. Let n(y) = -y**3 - 11*y**2 - 12. Suppose 0 = 3*u - 6 - 3. Let q(s) = u*n(s) - 4*x(s). Give q(-7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 244012003 - -3?\nAnswer: 244012011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21259.\nAnswer: 7, 3037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.76 + 54.24. Let c = -129 - -83. Let u = c + j. Which is smaller: -0.1 or u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -5, -4*m = -0*m + 4*y. Suppose -19 = -6*k + 3*k - 2*t, -m*k = -2*t - 21. Let v be (-4 + 13 - k) + -1. Solve -v*z + z = -10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (l - 3*l + 4*l)*((0 + 1 + 1)*(4*l - 4*l + l) + 2*l + 2*l + 2*l) as j*l + f*l**2 + k and give f.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z - 3. Let j(b) = 5*b - 6. Let w(s) = -s**3 + 7*s**2 + 20*s - 99. Let u be w(8). Calculate u*j(c) + 5*o(c).\nAnswer: -5*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41501\/11 - -3773. Let u = 3 - 5. Sort 1\/7, u, j in ascending order.\nAnswer: u, 1\/7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2680*u + 5*d + 60 = -2675*u, 4*d + 26 = 2*u for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -438 divided by 146?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 922534.1g in nanograms?\nAnswer: 922534100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -22690 * -4\nAnswer: 90760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6596*o**2 - 6587*o**2 + 13194*o**2 - 3*o + 2*o.\nAnswer: 11*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.0692798 grams?\nAnswer: 69.2798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-36)\/44*-1 + (-2)\/(-11). Let a be (14\/8 - l)*(-16)\/(-12). Let b be ((-28)\/(-36) - a) + (-1138)\/(-18). Calculate the highest common divisor of b and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 187463.1 hours to milliseconds.\nAnswer: 674867160000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -4*c - 2*c. What is the remainder when 59 is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.102 * -0.2.\nAnswer: 0.0204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/11, 2\/9, 5, 91.\nAnswer: 2\/9, 6\/11, 5, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2*h + t - 31, 2*t = 5*h - 162. Let m be h\/18 + (6 - 8). Let u = 0 - -2. Put -0.1, u, m in decreasing order.\nAnswer: u, -0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 446601887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4 - 5)*(-6*y**2 + 12*y**2 + 5*y**2) + (-5 + 2*y + 5)*(7*y - 3*y + 0*y) to the form n + t*y + p*y**2 and give p.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/70 - (-10 + (-728)\/(-70))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/15 - ((-26716)\/(-22540) - 1). Let i = 4\/23 - l. Let k = i + 55\/147. Is k at most 0.039?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 76796 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3486383 is divided by 1157?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -2\/9, -5.06, -5\/2, 0.3, 72?\nAnswer: -5.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -269, -212, -71, 196, 631?\n\"Answer: 7*b**3 + 8*b - 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16854\/42 - 4\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 5*c**2 - 17*c + 73. What is l(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62382 is divided by 187.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 575 and 82455?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**2 + 15 + 7*q**2 - 2*q**2 - 15.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -28736, -57475, -86214, -114953, -143692, -172431?\n\"Answer: -28739*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - g**2 - 4*g. Let c be t(-3). Let j be (-15)\/(-4)*18320\/c. Suppose 6*i - j = 386. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14451224243 - 4?\nAnswer: -14451224251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2874)\/96)\/(2\/(-4)) - ((-72)\/(-18))\/(-32)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2*w = 4*n + 186, 5*w = -4*n - 367. Let u = n - -349. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2507.799 rounded to zero dps?\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-19)*d**(11\/3)\/d)\/((d*d\/(d*(d\/(d**(-1\/36)\/d)*d)\/d))\/(d*d*d\/((d**(-9\/2)*d)\/d*d)*d)) assuming d is positive.\nAnswer: d**(-281\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 1) + -2 - (-6 - -6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1245756643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3382, 3359, 3456, 3733, 4250, 5067, 6244?\nAnswer: 7841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9114 and 336.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 5*l + 46 = 0, 4*l = -14*a + 11*a - 23 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of p**6\/57 - 4*p**5\/95 + 4*p**3\/57 - p**2\/19 + 8. What is y in z(y) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1068420733?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -8*k**3 + k**2 + 5*k**3 + 13*k**3. Suppose -57*s + 56*s = 1. What is w(s)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63028923341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0545526 rounded to three decimal places?\nAnswer: -0.055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 32426.\nAnswer: 1\/32426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -133993986 by 155626.\nAnswer: -861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222*n = 228*n - 434*n - 560 for n.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 4*g = -26 + 11, -419*a - 60 = -423*a - 5*g for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 36 = u - 5*m, 2*u - 128 = -4*m. Let g = 61 - 42. Calculate the remainder when u - 1\/4*4 is divided by g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 2:44 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -14*w + 193. Let t(g) = g**3 + 3*g**2 - 4*g + 2. Let h be t(-4). Let p(u) = u + 21 - h*u**2 - 3*u**2 - 8 - w. Give p(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/5)\/(2\/(1 + 0)). Suppose r = -2*v - 4*k + 2*k + 8, -2*v + k + 8 = 0. Suppose -v*w = -w - 24. Is w a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.91 + 15.344.\nAnswer: 22.254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 85 and 1105?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1856.672 - -0.328. Let s = 1857.000001993 - l. Round s to seven decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3*q**3 + 6*q**2 - 76*q + 473. Calculate w(6).\nAnswer: -415","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 6) in base 16?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43330983, 86661965, 129992947?\nAnswer: 173323929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 44, 0.046, 2\/3, 0.03?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*(-4)\/(-8) - -4. Suppose -2*j + 2 - k = 0. Let v be j\/(-8)*(6 - 2). Is 1\/14 != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 56.6 - 30.2. Let n = a + -26. Put -1, -0.3, n in descending order.\nAnswer: n, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/2297057 and 33\/366757.\nAnswer: 43644083","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 67*t**2 + 5*t - 9. What are the prime factors of n(3)?\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_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: What is 482 minutes before 7:18 PM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*l + 14. Let s = l - 10. Let a(g) = 6*g**2 + g. What is a(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30833 * -1214\nAnswer: -37431262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -54228 or -54864?\nAnswer: -54228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 5 = 2*b + 5*z, 2*b - 4*z + 12 = 0. Calculate the remainder when 27 is divided by (b\/4 + 1)\/(13\/390).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*v = -3. Suppose 2*b + 0*b = -v*w - 21, -w = 5*b + 33. Let z(x) = x - 3. What is z(b)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5626456 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -257 - 8?\nAnswer: -263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -70207*g**3 - 723551*g**2?\nAnswer: -421242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -130.628178 to one dp.\nAnswer: -130.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 144 and 5796.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 15*t - 6. Let c be (-1)\/(-3)*60\/2. Let a be o(c). Suppose 2*u + 5*s = s + a, -5*u + 105 = 5*s. Is 14 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 3:31 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 10) + -2 + 3 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1002 or -1?\nAnswer: -1002","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -0.036.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14082 + 6852 + 356 = -219*r - 1486 for r.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 46, -4, 2418, 0, 5 in decreasing order.\nAnswer: 2418, 46, 5, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -251.8?\nAnswer: -50.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 1.81233515\nAnswer: 5.43700545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 10*z**2 + 12*z - 15. Let s be r(9). What is the least common multiple of (-16)\/((-1)\/2 + (-6)\/s) and 18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 3*m + 171 + 49 = 0, 5*z = -3*m + 272. Does 13 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -366*b + 361*b. Calculate the remainder when 16 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 125*(13 - 3)\/50. Solve -3*h + 20 = -5*v, 0 = -5*v + h + 3*h - p for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 11:11 AM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of 0 - 5\/42*u**7 - 79*u + 0*u**3 - 5\/12*u**4 - 1\/2*u**6 - 3\/4*u**5 + 0*u**2. Solve y(g) = 0 for g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.4 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 54828 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10353337?\nAnswer: 83, 124739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**8*q**(-8) assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36960 divided by 2464.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-395)\/(-158)*(-326338)\/(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11010001000110101111 (base 2) to base 3.\nAnswer: 1121111220001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 590357914 - 590301868.00045. Let p = 56050 - l. Let o = p + -4. What is o rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 2*l**2 + 4*l - 5. Let z be n(2). Suppose -172 = z*f + f. Let o = 78 + f. What are the prime factors of o?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -11*q - 5. What is x(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -28*k**4 + 1151786*k**3 + 2056824*k**2 + 1069558*k + 164548 = 0.\nAnswer: -1, -1\/2, -2\/7, 41137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 143 = 4*k - 663, -2*k + 5*z = -390. Suppose 2*m + t - 1 = m, -5*m - 2*t = -20. Suppose -2 + k = m*u. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37038010 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -65\/203 - -1\/29. Let o = -7\/3 - -11\/6. Which is the second biggest value? (a) t (b) 3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 9 + 3. Suppose -14 - 40 = -18*n. Let f be (w - -2)*(n - 5). What is the closest to -3 in -1\/2, f, 1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pbhh when four letters picked without replacement from {b: 2, p: 1, h: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1423998990.\nAnswer: 2, 3, 5, 15822211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.8 + 2. Which is the closest to -1\/2? (a) -1 (b) l (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2492 and 86662682.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 8*p**3 - 21*p**2 + 4348*p - 8688. Determine s(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7663\/(-1106) + (-3 + 10 - 0)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7825 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1522*h = -760*h - 766*h + i - 44, 6*h - 114 = -6*i for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w - y = 15*w - 1078, 813 = 3*w + 3*y. What is the remainder when w is divided by 68?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1321 = 4*n - 10*n - 259. Solve n = -17*w + 92 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2964*q + 3813*q - 6773*q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 60*w - 300. Calculate the smallest common multiple of 6282 and c(-54).\nAnswer: 25128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 + 31. Let m = 33 + b. Calculate the highest common divisor of m and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5586227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 2*h = 6*o + 10, 4*h = -12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -588 divided by -477?\nAnswer: 196\/159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*s**2 + 140*s - 140*s.\nAnswer: -11*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9185632 by 4.\nAnswer: -2296408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 451, 3, 195, 4, -3 in descending order.\nAnswer: 451, 195, 5, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - a - 63 = 0. Let n be a\/(-140) - 2\/(-10). Let w = 0.6 - 0.9. What is the smallest value in n, -1, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34836309 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 166, 659, 1480, 2629, 4106, 5911, 8044?\nAnswer: 10505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*y - 13 = 2*y, -69 = -5*b - 3*y. What is the remainder when 87 is divided by b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 323976?\nAnswer: 2, 3, 13499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/11)\/((-222)\/(-333)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4532?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 858557 and 343.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2205888169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1291986 is divided by 61521.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2474887?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + 2*s**2 - 4 + s + 2*s. Suppose 10 = 2*n, -5*k + n = -2*k - 43. Let c = -20 + k. Determine m(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-20))\/(146\/(-130) - (-11)\/(-143))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -39.8417 to the nearest integer.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45297037?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1114\/4755 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1192 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1601, 16, 1, 4, 15 in increasing order.\nAnswer: 1, 4, 15, 16, 1601","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -153 + (0 - 1) + -2. Let b be ((-6)\/9)\/(8\/n). Suppose -3*z = b - 34. What is the remainder when 27 is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1679, 3357, 5035, 6713, 8391, 10069?\nAnswer: 11747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.052 - -0.248. Which is the nearest to l? (a) 1 (b) -1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -266*w + 199*w = -2412. Suppose -4*t + 0*t = -28. Let x = t - -389. Calculate the highest common divisor of x and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 = -y - 2*y. Suppose -4*i = 5*z - 80, z + 5*i = -0*i + y. Suppose -5*o - z = u, o - 12 = -u - 4. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eleven quarters of a milligram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -9833178 and 521940?\nAnswer: 10355118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.4 + -1.71. Let t = -1.09 + p. What is the nearest to 16 in -2\/17, t, -2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 164719 and 9017.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Is -1777 > -1792?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 251913 and 262.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -46*n**2 + 20*n**2 - 1100 + 123 + 27*n**2 - 385 in the form t*n + q + x*n**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 679*y - 312*y - 633*y as o + z*y and give z.\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 155 + -138. Suppose -k*n + 73 = -777. Does 2 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-2 - -3 - 3) + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 9*o + 9. Is n(11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2343 (base 5) in base 3?\nAnswer: 110220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 115 and 621.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.41093 nanometers to centimeters.\nAnswer: 0.000000641093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sghsghtgsag. Give prob of sequence tgsh.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 386*u + 2677 = 1248 - 4361 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3945 by 15.\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r - 11*r - 2*r.\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 303 = 3*a - 276. Suppose -s - 380 = -2*b, -b - 2*s + s + a = 0. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 262\/14 - (-3 - 38\/(-14)). Suppose n = -7*o + 159. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 210.3201 - 210.2. Round v to 2 decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1219 minus 334126.101?\nAnswer: -335345.101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*3*(sqrt(104) + sqrt(104)*3))\/(((sqrt(48) - (sqrt(48) + 1*sqrt(48) + sqrt(48) + sqrt(48)))\/sqrt(6) - (sqrt(32)*-1 - sqrt(32))\/sqrt(4))*1).\nAnswer: -72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -25*m**3 - m**2 - 2*m - 1. Is p(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 12:47 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -6029752 divided by -36\nAnswer: 1507438\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*n - 6*n + 52*n.\nAnswer: 16*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - 391*s**2 + 47337*s + 516. Give v(-488).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 y when three letters picked without replacement from {y: 3, s: 3, z: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 168653 and 8?\nAnswer: 1349224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 505013 is divided by 179?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254210 is divided by 50836.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*r - 20. Let l(s) = s**3 + 8*s**2 + 7*s - 3. Let w be l(r). Let o(n) = -2*n + 13. Let c(z) = -z + 1. Let p(d) = w*c(d) + o(d). What is p(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -1\/5 (b) -2 (c) -0.01 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.19 (b) -11 (c) 2\/17 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.027 + 15.173. Let x = t + -41.8. Let z = 27 + x. Which is the third smallest value? (a) 4 (b) -5\/6 (c) z (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170*z + 167*z + 12 = 0. Suppose z*i = 2*s + 30, 0 = 3*s - 0*i - 4*i + 39. Is -35\/4 at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -m - 3, -5*p = m - 164. Suppose -p = 3*z - 3*v + v, 4*z + 5*v = -35. Which is smaller: -11 or z?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**2. Let x(z) = -99903*z. Determine x(r(b)).\nAnswer: -199806*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27376 and 24.\nAnswer: 82128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -709, -961, -1431, -2227, -3457, -5229, -7651?\n\"Answer: -18*k**3 - k**2 - 123*k - 567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1458*s - 8797 + 49 = 0 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -195853000 rounded to the nearest 1000000?\nAnswer: -196000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10579724 divided by 7.\nAnswer: 10579724\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 64*p**2 - 2*p + 155. Is i(19) 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 dhhddhdd. Give prob of picking 4 d.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/10 of a minute?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13395*l**2*r**3 - 4*l**2 + l*r**4 - 19*l*r + 60*l wrt r.\nAnswer: 80370*l**2*r + 12*l*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -5) + -9 - 10 - (4 + -1).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**3 - 118*a**2 - 112*a + 226. Calculate l(-58).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29992?\nAnswer: 2, 23, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/sqrt(6)*1 + 5.\nAnswer: sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1215 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 7:30 AM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-81*w**3 - 321*w**2 + 321*w**2)*(-1 + 1 + 4)*(1 + 1 - 3).\nAnswer: 324*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 74 + -71. What is the third biggest value in -2, v, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 596583 is divided by 154.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4485005 is divided by 407688.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-2))\/(4\/(-114)). Let w be (-2 + 10\/3)*780\/(-40). Let o = w + u. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70572 by 11762.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 86.19589 millimeters?\nAnswer: 86195890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*b**2 - 3*b**2 + 5*b**2)*(-231568*b + 32 + 462332*b - 231234*b) as g*b**3 + i*b + t*b**2 + j and give g.\nAnswer: -940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.06 + -3.94. Let r be (16\/5)\/4 + (-7)\/35. Put 1, g, r in decreasing order.\nAnswer: 1, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -4, 3*z = j + 2*j + 15. Let a be (j\/6)\/((-1)\/30). Solve 0 = -5*q + q - k + a, -2*k + 12 = 2*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -53, -106, -163, -224?\n\"Answer: -2*p**2 - 47*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1908, -16321, -55588, -132135, -258388, -446773, -709716?\n\"Answer: -2071*t**3 - t**2 + 87*t + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 94 + -100. What is the hundreds digit of 2\/7 + o + 873\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10111415*g*y**3 - 3694048*g*y**2 wrt y?\nAnswer: -60668490*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -90*(24\/(-10) + 2). Suppose -5*v + z = -2*m, -v + 4*v = -2*m - 68. Let o = -27 - m. Solve d + 0 = o for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -16. What is the closest to -1 in -0.1, -2\/3, n?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*i**3 + 1 + 5*i + 15*i**3 + 22*i**3)*(-12 - 22 + 86).\nAnswer: -52*i**3 + 260*i + 52","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**2 - 17*j + 26. Let f be y(12). Suppose -87*a = -f*a - 161. Sort a, -9, -2, 5 in ascending order.\nAnswer: -9, a, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12031063505 - 48554.\nAnswer: 12031014951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4672, -9568, -14464?\nAnswer: -19360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -243?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**3 - 5 - 76*g**2 + 135*g**2 + 14 - 58*g**2 to q*g**2 + t*g + h*g**3 + f and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8001 and 19089?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.57314 to the nearest integer.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 164489613 to the nearest integer?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 694600 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6439827?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 136, -1\/3, -2, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -347, -751, -1155?\n\"Answer: -404*n + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8\/15 + -29\/45. Let t = 263.5 - 263. Which is the third biggest value? (a) 1.1 (b) f (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2764*2\nAnswer: 0.5528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17855 + -25?\nAnswer: 17830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 - (-42 + 44 + -30 + 15).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -3, 17 in decreasing order.\nAnswer: 17, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 242*o**2 - 705*o + 52950. Determine w(244).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -3*w + 2*d, -7*w + 4*d - 32 = -9*w. What is the remainder when 129 is divided by w?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1051 - 333. Let l = -135\/2 - -65. Calculate the common denominator of 3*(-3 - h\/(-192)) and l.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-9))\/((-4)\/(-30)). Suppose -5*i + 5 + l = 0. Solve -i*z = -z - 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 4*v**3 - v. Give a(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58\/(-29) + 42\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1716*n - 724*n - 540*n to l*n + c and give l.\nAnswer: 452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4540928000 rounded to the nearest one million?\nAnswer: -4541000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 157140 + -4?\nAnswer: 157136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*a - 0*a. What is the smallest common multiple of a and (-35)\/(-105) + 34\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 572\/17 - 17404\/493. What is the common denominator of h and -4\/7?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -4*s**3 - 1200*s**2 + 12364*s - 11160 = 0.\nAnswer: -310, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b - g - 748 + 740, 27 = -3*b - 4*g for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -44*r + 1082. Let z be j(25). Let a(p) = -p**2 - 18*p - 1. What is a(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 65.53152 and -0.138.\nAnswer: 65.39352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 30680219?\nAnswer: -30680221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -200*(-121)\/747175*-13.\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of q**4\/24 - q**2\/2 + 3*q. Let v(p) be the first derivative of t(p). Let s(u) = -u**2. Give s(v(h)).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 0 + z - 4 - 2 + 7. Let b(l) = l**3 - l**2 + l - 5. Let t be b(0). Let f be j(t). Let g(s) = s**2 + 3*s - 2. Calculate g(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8336.\nAnswer: 2, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 132469903 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1105186 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 + 65. Let x = -32 + p. Which is the nearest to 1? (a) -3\/4 (b) -2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -147*i - 1133. Is h(-48) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1010728 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 43 - -4?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1665.31189 to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 31323*k. Let r(i) = 2*i - 51. What is r(j(b))?\nAnswer: 62646*b - 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of 545*t**2 + 6483*t - 966. Differentiate d(v) with respect to v.\nAnswer: 1090","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4*(-12)\/(-80))\/(3\/45)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/9 and (5782\/(-2989))\/(-1 - 11).\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 4*h - 3. Let z be b(2). Suppose -10*o = -13*o - 15. Put 4, o, z in ascending order.\nAnswer: o, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 2143014?\nAnswer: -2143011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 45\/2 of a meter?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-6)*((v*v\/(v\/((v**(-9)\/v)\/v)))\/v*v*v)\/v)\/(v*v*v**(-2\/5))**(-3\/5))**24 assuming v is positive.\nAnswer: v**(-9024\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 - 3 - (0 - (2 + -2)). Suppose x = 5*f - 7726, m + 3 = -4*x. List the prime factors of f.\nAnswer: 3, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -9, 2*j - g = -3*g + 22. Suppose -n + 99 = j*n. Which is the closest to -1\/3? (a) 0.3 (b) 3\/8 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1988*z + 128569 + 64267 for z.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 6*l**3 - 8*l**2 + 74*l. Let p(f) = -f**3 + 2*f**2. Determine -i(j) - 4*p(j).\nAnswer: -2*j**3 - 74*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -51 in -106\/11, -5, -399?\nAnswer: -106\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4.6? (a) 0.04 (b) 48 (c) 1 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.7 - -1. Let l = 1419659\/39 - 36378. Let m = 71\/3 - l. Which is the nearest to 0? (a) 3 (b) z (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -6*d**2 + 3. Determine x(5).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.522 (b) -596 (c) 54\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(6\/11)*h*h*h**(-1\/2)\/h assuming h is positive.\nAnswer: h**(23\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2*h = 2, 0 = -h - 49 + 52. Let l(u) be the second derivative of -1\/4*u**k + 0 - u - 7\/24*u**3 - 1\/40*u**5 - 7\/48*u**4. Factor l(j).\nAnswer: -(j + 1)*(j + 2)*(2*j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -35*j + 5. Let i be b(-6). Suppose -4*t + 5*q = -179, -4*t - 21 = -2*q - i. Calculate the greatest common divisor of t and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hjejjuhhuujyuhj. Give prob of sequence ueyh.\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -5*x - 4. Let v be (-3037)\/(-7630) - x\/(-10). Let k = 74023\/6104 + v. Find the common denominator of 47\/20 and k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 3*v**2 + 261*v + 258 = 0.\nAnswer: -86, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u - u - 3830*u**2 + 3*u.\nAnswer: -3830*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.047 + -0.747. What is the second biggest value in m, -2\/19, 0.5, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ap when two letters picked without replacement from {a: 11, p: 3}?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pz when two letters picked without replacement from spspspppppzppszppz?\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of o**7\/105 + o**6\/75 - 4*o**5\/25 - 2*o**4\/5 - 153*o. Determine i, given that s(i) = 0.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2. Let b(z) = -2*z**3 + 4*z**2 - 5*z + 2. Let n(j) = -b(j) - 3*h(j). Determine n(4).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4530710 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-6)*1*63\/84*8\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (310 + 75 - 102)*(-3 + 4 + 2)*(1 - y + 3*y + y) to p*y + i and give i.\nAnswer: 849","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + -4. Suppose 15 + o = 4*n. Let w be 2 - (30\/n + -2). Is w at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 8 = 4. Factor 0*h**3 + 0*h + 0 + 2\/5*h**4 - 2\/5*h**m.\nAnswer: 2*h**2*(h - 1)*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 39*a**2 - 54 - 8*a**2 + a**3 - a + 28*a. Let v be x(-30). Find the third derivative of -27*c**3 - 22*c**3 + v*c**2 - 55*c**2 wrt c.\nAnswer: -294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s - 8 - 4*s + 18*s + 2. What is the smallest common multiple of 2\/(2*(-1)\/(-4)) and b(1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -2*u + 32, -2*u + 2*y = -7*u + 140. Let m = -219 + 219. Suppose 4*x + 10 - u = m. Is x even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3374 and 76660654.\nAnswer: 3374","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 608 is divided by 74?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1448882684.\nAnswer: 2, 73, 4961927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w + 2*w**2 + 6*w + 3*w**2 - w**3 - 10 + w**2. Let b be l(7). Let t be b\/(9\/4 + -3). Solve t*s = s + 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9018\/37 + 89187983\/365930. Let s = 70712\/14835 - f. What is the common denominator of -139\/6 and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(-3\/19))**30)**(-45))**35 assuming o is positive.\nAnswer: o**(-1039500\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/(-3))\/((-3)\/(-27)). Suppose 5*n - 4*b = 14, -4*n + 3*b + 7 + 4 = 0. Let l = n + s. Calculate the greatest common divisor of l and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3130 (base 5) to base 15\nAnswer: -1ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u - 896 = -67*u. Solve 17*o = 16*o - 5*b - 5, 2*b - u = -4*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16316401 (base 7) in base 16?\nAnswer: 182d82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-14) + 7\/490*-5\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10 + 45?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54 and 2256?\nAnswer: 20304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -28*n**2 + 8*n - 9. Let a(f) = 27*f**2 - 6*f + 8. Let p(b) = 4*a(b) + 3*c(b). Let y(g) = -3*g**2. Give p(y(h)).\nAnswer: 216*h**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24766 + -30299.6. Round m to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1600507, -1600405, -1600303?\nAnswer: -1600201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 6 - 3 = 3*r, -4*r + g = 12. Is 9 a factor of 2*r - 6603\/(-31)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ltlsmscth. What is prob of picking 2 s, 1 m, and 1 c?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 23036 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 112968 = -4*k, 4*h = -11*k + 7*k + 112976. What is the ten thousands digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 812 and 203?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 897 = 4*f - 156, f = -5*g + 5246. Suppose 0*s + g = 4*h + 5*s, 807 = 3*h - 3*s. List the prime factors of h.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.39229 rounded to two decimal places?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2258 + -1*(-11 - -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 1:02 AM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 9:29 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16.03 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-20) + (-151)\/271800*-25140?\nAnswer: 41\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 15 = 5*n, 2*m - 4 - 2 = -4*n. Suppose 6*f - 29 + 5 = n. Solve f*x - 8 = -28 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - ((sqrt(77) - ((4*sqrt(77)*2 - sqrt(77)) + sqrt(77))) + sqrt(77) + sqrt(77)))\/sqrt(7) - (-4*(0 + sqrt(11)) + 3).\nAnswer: -3 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s. Let b(w) = 12*w + 2. Determine b(j(f)).\nAnswer: -24*f + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.94 + -0.26. Let s = 1.8 + m. Which is bigger: s or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 293 + -285. Calculate the highest common divisor of z and 184.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/62216 and 99\/4.\nAnswer: 62216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/(-2430)*-112*7\/((-147)\/72)?\nAnswer: 64\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 38.\nAnswer: -5\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + 4*d + 27. Let n be w(8). Let h = 5 - 3. Sort -3, h, n in descending order.\nAnswer: h, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -34 and -1657.\nAnswer: -1691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-2) - (-4)\/(-8). Let p = -0.09 - -6.09. Let s = p - 10. What is the nearest to -1\/4 in 0.4, s, x?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dov when three letters picked without replacement from {f: 1, o: 1, m: 1, v: 1, q: 1, d: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = r - 3*s - 5, 0 = -3*s + 3 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -922*z**3 + 21083*z**2 + 180109095*z.\nAnswer: -5532*z + 42166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - (2 - 3) - -8. Suppose -5*l + 148 - 4 = 2*y, -5*l = c. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/1*(273\/143)\/7?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -101010000001100001 (base 2) in base 10?\nAnswer: -172129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*f**5*k - 37319757*f**2*k - 3*f*k - 70*f + 126955*k wrt f.\nAnswer: 80*f**3*k - 74639514*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = r - 6, 96 = 5*r - 4*f + 68 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 11) to base 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-5)*r)**(-9\/2)*(r**(-5\/4)\/r)**(-25) assuming r is positive.\nAnswer: r**(99\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -4*w - 6. Let o(a) = 6*a + 9. Let v be -3 + 12 + 1 + 10\/(-2). Determine v*o(b) + 8*s(b).\nAnswer: -2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5635.\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20896 is divided by 89.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**2\/3 + 2727*j + 610870\/3 = 0. What is j?\nAnswer: -74, 8255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.04 (b) -4.5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.13 - 0.37. Which is the nearest to 0? (a) -2 (b) -5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4653403 + -62?\nAnswer: 4653311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bakrn. Give prob of picking 1 n and 1 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.91*17.\nAnswer: 15.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*(-2 - (-10)\/3). Suppose 5*w = a*w. Suppose -4*u = -2*l - 48, -4*u + 3*u + 30 = -5*l. Solve 5*q - 5*z + u = w, 5*q + 2 = -5*z - 18 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ryrymkrmymimm. What is prob of sequence rm?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*k - 27*k + 6 = 3*l, 4*k + 20 = -8*l for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3735 and 141100?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 5*u + 28. Let i = -5 + u. What is the remainder when 4 is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4947*v**3 - 18 - 2*v**5 - 9892*v**3 + 4947*v**3 - 27*v)*(3 + 2 - 3).\nAnswer: -4*v**5 + 4*v**3 - 54*v - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1242 and 48522.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21093?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1904927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 14 - -16782b?\nAnswer: 167841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129 is divided by 29.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2032068 divided by 3.\nAnswer: 677356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/sqrt(2) + -5)**2.\nAnswer: -20*sqrt(5) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58.73025 - -0.1.\nAnswer: -58.63025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-1\/7))\/b**(-6))\/(b**(2\/9)\/(b*b**3))*b\/b**(1\/6)*b**(-1)*b**(-4)*b\/(b*b**(-2\/7)) assuming b is positive.\nAnswer: b**(851\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/7, -0.5, -4\/3, 4, -4\/1811, 1\/32?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of h**2 - h + 1. Suppose 3*r = 0, f - 2*f + 2*r = -8. Let c(l) = f*l - 10*l + 4*l. Determine c(k(u)).\nAnswer: 4*u - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-3*(sqrt(605) - 4*sqrt(605)))**2 + 0 + (sqrt(605)*2*-5*-2)**2.\nAnswer: 291006","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 2. Let r(t) = -4*t + 2*t - a*t - 1. Let g be 0 - (6\/3 + -3). Give r(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 79*d**4 + 1 - 286*d**4 - 2*d - 61*d**4 as v*d**3 + p*d**4 + c + k*d + i*d**2 and give p.\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.86 plus -25?\nAnswer: -9.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.05 + -4.95. Let s = 72 - 938\/13. What is the second smallest value in -0.4, a, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 6*u**2\/7 + 120402*u\/7 + 78425292\/7 = 0?\nAnswer: -19393, -674","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-1\/2)\/w)**(-13\/6)\/(w*w**(3\/5))**40)**(2\/21) assuming w is positive.\nAnswer: w**(-755\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of -b**6\/120 + b**5\/12 + b**3\/3 - 2*b**2. Let u be r(5). Let v = 9 - 6. Solve -x = u + v for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - 4 - -1*8. Let f be u\/((-2)\/(0 + -1)). Let l(g) = g**3 - 6*g**2 - 7*g + 2. Let b be l(7). Which is smaller: b or f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 8*z - 18. Let n(m) = -m**2 + 7*m - 3. Let g be n(z). Suppose -2*j = 3*t + t + 6, 3*t = -g*j. Solve -4*y + 18 = -2*v + 3*v, -j*v - 11 = -y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 7*u + 14. What is w(-6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-12) + (-69)\/264. Let k = 3\/22 + p. Let j(a) = -a**2 + 1. Let h be j(1). Which is smaller: h or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 3*r + 2642. What is n(53)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-6)*-6*8\/(-80)*-4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9586.\nAnswer: 2, 4793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 9:52 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -46*b + 18*b**2 - 21*b**3 + 77*b**3 + 30 + 0 - 58*b**3 = 0.\nAnswer: 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*f**3 + 182*f**2 - 17*f**3 + 2 - 3*f**4 - 79*f**2 - 80*f**2 to the form z*f**4 + c*f**2 + o*f + k*f**3 + y and give c.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 374360 and 93590?\nAnswer: 374360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -153, -1275, -4393, -10527, -20697?\nAnswer: -35923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 9*d**2 + 14*d + 19. What is the units digit of r(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.18 and 13.8?\nAnswer: 2.484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 29 = 2*t + 17, 91 = 4*a - 3*t. Let x be a - 4*4\/(-8). Let m be 64\/x - (-1)\/3. Solve 0 = 3*q - 5*b - 16, m*b = -4*q + q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1, 4, 1\/7, -9, -9\/26?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 736*i**2*n + i**2 - 3877*i*n wrt i?\nAnswer: 1472*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 77 + -46. What is the greatest common divisor of o and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of v**4\/2 - v**3 - 3*v**2 + 6*v + 1. Let n be (5 - (-5 + 258\/24))*-4. Calculate the remainder when y(n) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2720674688.75 and -7.8?\nAnswer: 2720674680.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(931) - (-2 + sqrt(931) + sqrt(931) + 1).\nAnswer: -7*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -64*n + 47*n + 136. Which is the smallest value? (a) -3 (b) -2\/7 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3044976?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 166 = -4*z, 2*z = 4*z + 2*s + 80. Let m be ((-4)\/z)\/(3\/(-18)). What is the biggest value in m, 0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 431184 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 7*x**2 + 9*x + 2. Let r be g(8). Suppose r*f - 15*f = -165. What is the lowest common multiple of 36 and f?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -433, -417, -385, -331, -249, -133, 23, 225?\nAnswer: 479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-6 - -6) + 4 + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -97297, -1 in increasing order.\nAnswer: -97297, -6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 14.9. Let w = y - -0.1. Sort -1, -0.5, w.\nAnswer: -1, -0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 - -31. Which is the third smallest value? (a) 1\/5 (b) f (c) -5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 2 + 18\/(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j = -73 + 13. Calculate the least common multiple of 54 and j.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -98, 3 in decreasing order.\nAnswer: 3, -1, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b - 16 = 7*b. Suppose -p + 705 = -2*x + 11369, 0 = -b*x - 3*p + 21338. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.08735 and -0.0042.\nAnswer: 0.00036687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1108 divided by 2?\nAnswer: -554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-24)\/9*2 - -2. Let i = 3 + z. Let w = 3\/11 + -32\/77. Which is the second smallest value? (a) i (b) w (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1217608 (base 9) to base 14\nAnswer: -133201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 19 = g + 3*s, -5*g - 8*s + 2 = -2*g + 22 + 33 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004168511 to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/(-14)*196\/(-28)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -2*u - p + 8, 2*u = 3*p - 7 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -5*l - 5, d - 52*l = 272 - 277 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/u**(3\/10)*u*u*u*u**(-16))**16\/((u\/((u**(-2\/3)\/u)\/u))**(-9)*(u\/u**(-2))**(1\/24)) assuming u is positive.\nAnswer: u**(-5917\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-21)\/((q*q**27\/q)\/q))\/(q**(12\/11)*q**(-4\/5)*q) assuming q is positive.\nAnswer: q**(-2656\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 579.\nAnswer: 6948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 96?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -6*o. Let a = -12 + 10. Let q be 1 - (-1 + 3 + a). Calculate h(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2620 and 14.1462.\nAnswer: 37063.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12.8 - -0.2. Let b = 7.8 - -0.2. Let z = b - j. Sort 3, z, -3\/4 in decreasing order.\nAnswer: 3, -3\/4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/27*6\/132.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 6*p - x = 38, 2*x - 14 = -2*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 3 (c) -0.1 (d) -1 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 0.4 (b) -2\/9 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 1683552?\nAnswer: 25253280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*r = -61*r - 468 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20.6 - 0.8. Let c = s + 21. What is the nearest to 0.2 in -2, c, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -348\/7*r + 576\/7 - 27\/7*r**3 - 1\/7*r**4 - 200\/7*r**2.\nAnswer: -(r - 1)*(r + 6)**2*(r + 16)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147961639933 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + y = -5*x + 397, y - 2*x = -200. What is the hundreds digit of (91\/14)\/(-13)*y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2 - 10 = 0. Find the second derivative of d**4 - d + 5*d**4 - d - 3*d**x wrt d.\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**(-1\/19)*k\/((k\/(k\/(k\/(k*k**4))))\/k)*(k\/k**(-2\/3))\/(k\/k**9*k) assuming k is positive.\nAnswer: k**(890\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 228\/65 - 7\/65. Is y not equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 111?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 59*n**2 - 367*n - 18148. Calculate i(-60).\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + j + 3*r = -27057, -4*j - 36101 = -r. Is (-13)\/(26\/j) + 1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1299 - 416. What is the hundreds digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 76 = -4*q + 2*u, -3*q + 2*u = 116. Let t = 29 + q. Let l(z) = -z**3 - 11*z**2 - 3*z - 25. What is the remainder when 23 is divided by l(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 4*n - 3*n - 5 + 1 + 3. Let c be r(3). Calculate the highest common divisor of 18 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 8 = -4*c, -82*a - 2 = -2*c - 86*a for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185 is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -0.024842, -2 in decreasing order.\nAnswer: 12, -0.024842, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + j**2 + 2*j - 3. Let t be (0 - -3)\/(3\/3). Let a(l) = 1 + 2*l**2 + 3*l**3 + 3*l - l - 4*l**t. Let r be a(-1). Determine g(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 38, 106, 232, 434?\nAnswer: 730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b, -6*b - 88 = 2*y - 2*b. Let r = -23 - y. Let p = -11 - -17. What is the remainder when r is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-55)\/(-99)*(-2)\/140*-21.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 + -17.52. Round i to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92829.4 rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) + (sqrt(156) - (sqrt(156) + sqrt(156)*4))*-4)\/sqrt(12).\nAnswer: 17*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 11*b + 19. Let g be d(6). Let k = g - -39. Suppose 12*w = 5*w + k. Solve 5*x = -4*c - 2 - 0, 10 = -w*x + c for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s - 1. Let k be z(1). Find the second derivative of -3*w**4 + k*w - w + 0*w wrt w.\nAnswer: -36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/83900 and -93\/134240?\nAnswer: 671200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*m**4 + 10*m**4 - 2*m**4 + (3*m**2 + 10*m**2 + 9*m**2)*(-4*m**2 + 2*m**2 + m**2).\nAnswer: 2*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39 - 38.99885. What is p rounded to 4 dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 7 + 2 = -3*x, 0 = 2*x - 4*s. What is the remainder when 7 is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -7*p - p**3 - 8*p + 15*p - 3*p**2. Let f(q) = q**2 - q. Give a(o) + 2*f(o).\nAnswer: -o**3 - o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 14) in base 16?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*h + 4*h - 2*h)*(47 + 304 + 653 + 214) to the form l + w*h and give w.\nAnswer: -4872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (138\/(-12) + 11)\/1\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1234, -1232, -1228, -1222, -1214, -1204, -1192?\nAnswer: -1178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -269\/78, -4, 0.6 in ascending order.\nAnswer: -4, -269\/78, -1, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6336 divided by 33.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 9574 = 2*g - 3462, -2*g + 4*i = -13022. Determine a, given that -6*a**4 - 471*a - 228*a**2 + 156*a + 6407 - 63*a**3 - g = 0.\nAnswer: -4, -3, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*g = -18. Let a = -461 - -467. Suppose 5*p + 48*p**3 + g*p**2 + 18*p**2 + 20*p**4 + a*p - 3*p = 0. Calculate p.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 0*i + 8*i)*(-173 - 29*i + 173 + 117*i).\nAnswer: 616*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 3 - 2 - (5 + 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 150, 196, 316, 546, 922, 1480, 2256, 3286?\n\"Answer: 6*x**3 + x**2 + x + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -3. Let k = b - -6. Solve -3*u - 5 - k = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62585.61 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Is 17657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -4 (c) 2 (d) 14\/55\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8776, 17554, 26330, 35104?\n\"Answer: -k**2 + 8781*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 300 divide 128100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 208, 2524, 8728, 20764, 40576, 70108, 111304?\n\"Answer: 324*l**3 + 48*l - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10717*l**2 - 1036276 + 1036276.\nAnswer: 10717*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 104299?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3005164, -6010346, -9015532, -12020722, -15025916?\nAnswer: -18031114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 57*x. Let b(n) = 29*n + 60. Let k(a) = 10. Let v(q) = b(q) - 6*k(q). Calculate 4*h(g) - 9*v(g).\nAnswer: -33*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -69 + 35 - 16*b**2 - 2*b + 9*b**2 + 8*b**2 - 27 as a + u*b**2 + m*b and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -60, -160, -310, -516, -784, -1120, -1530?\nAnswer: -2020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28.7 - 28. Let j = q + -1.7. What is the closest to 4 in 0, j, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -8 - 9 - (-1 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2291*s**4 + 404?\nAnswer: -9164*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/25 of a kilometer?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 113, 1\/7, -15, 2\/13?\nAnswer: 113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 0.3. Let x(f) = -f**3 - 1. Let d be x(1). What is the closest to -1\/4 in l, d, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) + -4)**2*-5 - (sqrt(704)*6*4 + sqrt(704)).\nAnswer: -3600 + 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 28*p + 2. Let h(v) = 28*v + 1. Let d(l) = 6*f(l) - 7*h(l). List the prime factors of d(-2).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -502403350 (base 6) in base 14?\nAnswer: -11bc21c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -819005, -1638012, -2457019?\nAnswer: -3276026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6844*k**4 - 7*k**2*n**2 + 3*n**2 - 111792*n with respect to k.\nAnswer: -27376*k**3 - 14*k*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*s - 10 + 10 = -198. Is s greater than or equal to 19\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(99)\/(sqrt(144) + sqrt(9)))**2 - (sqrt(396) + (-1*sqrt(396))**2))*5.\nAnswer: -9894\/5 - 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -29.781 and -10.99.\nAnswer: -40.771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.40315 + -0.04745. What is j rounded to 2 dps?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -987 - -987. Suppose -4*m + 2*k + 109658 = z, m - 41*k = -44*k + 27404. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 - 2*n)*(12*n - 27*n - 56*n + (3 - 5 + 4)*(-7*n + 0*n + 3*n)) to b*n + x + f*n**2 and give f.\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + 5*sqrt(3) - (sqrt(243) - (0 + sqrt(243)))**2).\nAnswer: -18 + 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/29778 and -45\/2?\nAnswer: 29778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -t + 125, 4*t + 4 = -0. Let p = 67 - j. Suppose 2037 = -r - 3*q, -r + 2*r + 2044 = p*q. Round r to the nearest 100.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -2, 2, 71, 1 in descending order.\nAnswer: 71, 2, 1, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 22. Let r(c) = 4 - 2 - 4*c**3 + 21*c**2 - c - q*c**2. What is the remainder when 55 is divided by r(-2)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -181978889 divided by 4\nAnswer: -181978889\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - 5 - (-8)\/(-4). Let h = 92 + -94. Sort h, 3, -1, q in descending order.\nAnswer: 3, -1, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -l**4 - 5*l**2 - 5*l. What is the first derivative of f(q) wrt q?\nAnswer: -24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 3. Let a(v) = 3*v**2 + v**3 + 0*v**2 - 2 + v**x - 2*v. Is a(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/(-45)*(87\/(-1740))\/((-1)\/(-12)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 5*r**2 + 8*r - 7. Let x be p(6). Suppose l + 2 = 4*s, 1 + 2 = x*s - l. Which is smaller: 2\/9 or s?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**2 + 0*f**2 - 6*f**2 + (0 + 2 + f - 3)*(2*f + 3*f - 3*f) to the form a*f + j + u*f**2 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -5*k**3 - 2499585*k**2 - 312754640175*k - 89554811612875 = 0.\nAnswer: -249815, -287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 9:54 PM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 7 - 3)*(-2*o - 9*o + o) + (0*o + 2*o - 5*o)*(-4 + 5 - 2) - 3*o + 6*o - o)*(-3*o - o + 2*o + 8).\nAnswer: 10*o**2 - 40*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3389 is divided by 301.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 537, 2136, 4803, 8538, 13341, 19212?\nAnswer: 26151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -57 - -70. Let f = 21 - p. Suppose -f*q - 3 = -9*q. What is the highest common divisor of q and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d + 11*d + 30 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 1:47 PM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/30)\/((-2*(-4)\/30)\/(4466\/(-385)))?\nAnswer: -29\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b + 6. Let z be (-19)\/(-5) + 7\/35. Suppose -z*o = -o + 12. Determine k(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**3 - 1165 + 590 + 2*l**4 + l**2 - 7*l + 599 to the form o*l**4 + a*l + c*l**3 + k*l**2 + v and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 14*j**2 - 48*j + 36. Let p be t(-15). Let r = p - 482. What is the remainder when 488 is divided by r?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -48*w - 144. Calculate d(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.01 + -4. Let t = m + 1.99. Let r = t + 0. Which is the closest to 2? (a) r (b) 1\/8 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3 - 63. Suppose -s = -b - b. Is 11 a factor of (b\/(-2))\/(6\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 17*f + f - f**2 + 3*f. Let z be q(9). What is the highest common divisor of z and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 4*v + 15 - 37, -5*v + 18 = m. Suppose 6*p - v*p + 8 = 0. Let h = -0.66 + -0.34. What is the nearest to 2\/5 in 1, h, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + j + 15 + 20 = 0, -x = 3*j - 7. Let d = 18 - x. Solve -l = -d + 7 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 764218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + j = 62 - 17, -j = c - 17. Sort 9, -3, c in ascending order.\nAnswer: -3, 9, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -4. Let t be (o + 0 + 0)*-5. Let c = 4 + -6. Sort 2, t, c in decreasing order.\nAnswer: 2, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 8*f**2 - 4*f**2 + 4*f - 6*f**2 + 3. Let w(x) = x + 1. What is -q(t) + 4*w(t)?\nAnswer: 2*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-3) - 4*(-5)\/(-10). Let v be -3 + 3 - 3 - 1. Is j less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 2\/2806169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 68 + -96. What is the units digit of (-12)\/18 + v\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12712 bigger than 12709?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -1 (c) -2 (d) -18.5 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -11001 (base 2) to base 9\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -381, -483, -587, -693?\n\"Answer: -l**2 - 99*l - 281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppz when three letters picked without replacement from {p: 2, y: 1, z: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, y: 1, r: 2, s: 2, q: 1, o: 2}. What is prob of picking 1 q, 1 a, and 1 s?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10295 * -167.9.\nAnswer: 1728530.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - 3*m - 6. Let h be f(6). Let t(z) = -h*z - 2 + 1 - 2. Calculate t(-2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 552 and 92.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.007379290838234 and -0.4.\nAnswer: -0.392620709161766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 165 = -4*n, -n + 14*r = 10*r + 65. Which is bigger: 108 or n?\nAnswer: 108","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -256*d + 518. Determine u(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(72))*6 - ((-1*sqrt(12) + sqrt(12))*-2)\/sqrt(6).\nAnswer: 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 6*i**2 + 13*i + 19. What is m(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 11 + 5 + 13*k + 6*k**2 - 3. Let q(c) = c**2 + 2*c + 2. Suppose 221*d + 48 = 229*d. Let w(g) = d*z(g) - 39*q(g). Let t(r) = 2*r. Calculate t(w(b)).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 18*-194\nAnswer: -3492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*v - 44*v + 79*v + 94*v - 33*v - 58*v.\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 4, 2 in descending order.\nAnswer: 4, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -728 + 750. Let p(i) be the first derivative of -i**4\/4 + 19*i**3\/3 - i**2\/2 + 27*i + 12. What is the remainder when d is divided by p(19)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 5, 3\/47 in increasing order.\nAnswer: -0.5, 3\/47, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 - w**2 - 4*w**2)*(-255*w + 6995 - 6995).\nAnswer: 510*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*c - 18 = 0. Let j be (2\/(-4))\/(3\/c). Let d be ((-20)\/(-12))\/(1\/j). What is the biggest value in -2\/17, d, -0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 14, r: 5}. Give prob of picking 2 r.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5 - ((-2 - 0) + 4). Let d be 47\/(-4) + v\/28. What is the units digit of (2*-1)\/(d\/66)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1329204*x**4 - 498447 with respect to x.\nAnswer: -5316816*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(((-64)\/12)\/8))\/((-279)\/(-372)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -528 + 331. Let x = u + 188. Let y(g) = g**2 + 6*g - 2. Give y(x).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.1083 * 1.\nAnswer: 11.1083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 565403776 is divided by 34?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -52715 - -52745. Suppose -89 = 5*i - 289. What is the greatest common factor of c and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 13. Let b = 11 - m. What is the third derivative of -13*o**4 - 5*o**2 - b*o**2 + 7*o**4 wrt o?\nAnswer: -144*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1925 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: Simplify d**(-1\/30)\/(d*d*d**(1\/15))*((d**5\/d*d)\/d)\/d**(-2\/15) assuming d is positive.\nAnswer: d**(61\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (181 + 9 - 83)*(-7*v + 2*v + 2*v + (4*v + 0*v + v)*(2 - 2 - 2))*(-v**3 + 2*v**3 - 4*v**3) + 2*v**4 + 0*v + 0*v.\nAnswer: 4175*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*b + 49 + 206. What is the tens digit of 2*299 - (b - -11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2579 + -2579.5. Let s = -36 + 31.7. Let z = s - c. What is z rounded to one dp?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 4896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than 1815?\nAnswer: 1815.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (sqrt(612) + sqrt(612)*-1 + 3)**2 + -2*sqrt(612) + 2)*-2 + -2)*6.\nAnswer: -84 + 144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 92539\/19656 + 1\/2457. What is the common denominator of -93\/92 and x?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uzuzssuzzsszzu. What is prob of picking 2 z and 1 u?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**2 + 133*w - 2021. Give z(23).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 2*w + 2*w - 4*z, 0 = -w + 5*z - 29 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*a = 30*a - 6. Let j = 68 + a. Suppose 5*q + 2*p = 208 - j, 5*q - 3*p = 162. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75)*-4*3 - sqrt(75) - (0 + sqrt(75)*2)) + 1)*2.\nAnswer: -150*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.1 + -3. Let k = 77 + -77.2. Let l = -0.586 + 0.986. Which is the third smallest value? (a) -2\/7 (b) k (c) l (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d**5\/5 + 54*d**4\/5 + 399*d**3\/5 - 858*d**2\/5 - 8352*d\/5 - 2208 = 0.\nAnswer: -4, -2, 5, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 7*r + 20 = -3*r, -3*m - 22 = -2*r. Let f = m - -16. Calculate the remainder when 49 is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/7)*d*(d\/d**(-1\/14))\/d)\/(d**(3\/14)*d**(-2\/13)))**(-1\/26) assuming d is positive.\nAnswer: d**(-33\/1183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 648681 + 648628 = 5*v, b = -5*v + 51 for b.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 248, 384, 520, 656?\nAnswer: 792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.090698 + 1195.218302. Let l = 1199 - h. Round l to 1 decimal place.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away -0.1361852?\nAnswer: -0.2638148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/(-12))\/((-519)\/1384)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 12587, 12591, 12595, 12599?\n\"Answer: 4*t + 12583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -3815 to the nearest 100.\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7125 - -1?\nAnswer: 7126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 68\/1719 - 23095\/18909. Suppose 4*g + 5 = -g. Is g > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 - 23.6. Sort -3, h, 0.3.\nAnswer: -3, 0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29044871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 14 = 3*w - 0, -2*w = 4*h - 20. Let z(m) = m**2 - 3*m + 2. Let y be z(2). Solve y = -5*t - 5*s - 6 + 31, 3*t + h*s - 20 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -6*c - 10. Let r(v) = 4*v**2 - 2*v**2 - v**3 - 1 - 3*v**2. Let w be r(c). Solve -4*d + 3*b - 8 = -9*d, -w*b - 1 = -4*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/24 and 2\/(-6)*830\/(-40)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**(-2\/9)*c*c**(3\/7)*((c*c**4*c)\/c)\/c**(-8) assuming c is positive.\nAnswer: c**(986\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 5*f - 73, 3*f - 3*w + 3 - 45 = 0. Suppose v + 4*v + f = 0. Let x = 0.1 - -0.4. Sort x, v, 0.3 in descending order.\nAnswer: x, 0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42 - 46. Suppose -6*y + 40 - 10 = 0. Sort y, 4, -5, z in increasing order.\nAnswer: -5, z, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5278 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2991879 is divided by 249323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of 5*t**4\/24 + t**3 - t**2. Let p(u) be the second derivative of -u**3\/6 - u**2\/2 + 456*u. Calculate 11*p(r) + 2*v(r).\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 3 = 6. Let f(g) = -3*g + 2. Let d be f(-3). Let s be 1 + d\/(-2)*-2. Solve l*a - s = -a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 11:49 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -2, -22, -0.31, -3?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -638152.2 and -0.125.\nAnswer: -638152.325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 - 6984*x + 2164916.\nAnswer: 4*(x - 1343)*(x - 403)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -5*s**3 + 41*s**2 + 2*s - 2. Let l(x) = 20*x**3 - 169*x**2 - 9*x + 7. Give -9*k(j) - 2*l(j).\nAnswer: 5*j**3 - 31*j**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*l - 2 = -3*r, -r + 5*l + 13 = 0. Solve 3*t + k + 10 = -0, r*t + 3*k = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l + 38. Let a be v(22). Let j(h) = -h**3 - 7*h**2 - 7*h + 1. Determine j(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1140 and 50?\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -199 + 197. What is the closest to 0 in -5, -3\/2, b?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*k - 16500 = 34*k + 5*k. Is k < -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 137 or 293711\/2152?\nAnswer: 137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/187 and -31\/8723?\nAnswer: 148291","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + 15*p - 24. Let x be b(13). Suppose 2*a - 5*o = -x*a + 32, -3*o + 3 = 5*a. Solve -a = -i + 4*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001723808 to seven decimal places.\nAnswer: 0.0000172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7497, -15594, -23691, -31788?\n\"Answer: -8097*h + 600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -38179000 rounded to the nearest 1000000?\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 12, 112, 390, 936, 1840, 3192, 5082?\n\"Answer: 15*v**3 - v**2 - 2*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u - 14*u**3 - 7*u**2 + 3 + 9*u**3 + 5*u + 4*u**3. Let w be d(-8). Solve 4 = 4*y - 4*n, -w*y + 6*y - 5*n + 1 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3*(sqrt(11) - (1*sqrt(11) - sqrt(11))))**2.\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 125 + (96 + -104)*(0 + (-1)\/(-2)). What is the highest common divisor of 4752 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -601.6 + 554.63072. Let t = -46.9 - l. Let m = 0.07 - t. What is m rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 29512*b**3 - 2*b**2 + 3*b + 2. Is k(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of 18*l - 17\/2*l**2 + 17\/10*l**5 + 0*l**3 - 1 - 1\/12*l**4. Find the third derivative of z(d) wrt d.\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 (base 10) in base 5?\nAnswer: -244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 (base 15) in base 14?\nAnswer: 8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*m = -10*m - 48 - 118 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14328 + 20334. Does 42 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 15 = z, 3*z + 5 = 8*z - 5*j. Which is the second biggest value? (a) 4 (b) -5 (c) 0.07 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of o**9\/7560 - o**5\/30 - o**4\/8 + 3*o**2. Let q(d) be the second derivative of t(d). Differentiate q(i) with respect to i.\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u + 3*u + 4*u + 0*u + 304.\nAnswer: 4*u + 304","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -31 (b) -28 (c) -0.5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -17*r**3 + 25*r**2 - 8*r - 5. Is w(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-2))\/(6\/12). Let h(b) = 4*b**2 - 2*b + 4. Is h(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/511141?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rbbrrrrrrrr. Give prob of sequence bb.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of 14*l**3\/3 + 5*l**2 - 102*l + 16. Does 9 divide c(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 193 + -112. What is the highest common factor of 54 and m?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y + 12. Let m = -7 + 20. Let u be t(m). Let p(w) = -4*w**3 + 2*w**2 + w. Calculate p(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, i: 3}. What is prob of picking 3 w?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19159\/44 or -434?\nAnswer: -434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/5)\/(2166\/(-285))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 1210?\nAnswer: 1210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-6)*234\/26*(-4)\/12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 5476244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -4*u + 4354 - 4356 + 2*u + 3*u. Suppose -14*i + i = -0*i. Determine n(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138676200 rounded to the nearest one million?\nAnswer: 139000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -918 - -915. Put 4, -4, v, 11 in decreasing order.\nAnswer: 11, 4, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -2 + (-24)\/(-60)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - n + 552, -2*o = 2*o - 3*n + 2209. Let x = o - -378. Let u be 2\/4 + x\/320. Is u less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1048410 - 524203 - 2*v - 524207.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1135*t - 1143*t - 24 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 468 - 1584*r - 932 - 1524*r + 464 as n*r + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -6) + (-1 - (-5 - 0))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 247*p**2 - p + 215. Let b(s) = 6*s**3 - 1728*s**2 - 6*s + 1512. Let a(z) = -4*b(z) + 27*c(z). Factor a(r).\nAnswer: 3*(r - 1)*(r + 1)*(r + 81)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -77 + 71 - (3 - (-1 - -5) - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (5 - (3 + -2)) - 8?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 4*s**2 - s + 210. Let n be i(0). Solve 6*p + n = 222 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -5 - 3 + 4*s + 21*s**2 - s**3 - 26*s**2. What is k(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4310 is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 8:14 AM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**3 - 7*t**2 + 8*t + 6. Suppose -155*h + 234 = -194*h. Let c(p) = 5*p**3 - 20*p**2 + 23*p + 17. Determine h*c(v) + 17*w(v).\nAnswer: 4*v**3 + v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -400 (base 5) in base 6?\nAnswer: -244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 17*r + 2 + 16*r + 7*r**3 + 0*r**2 + r**3 + 0*r**2 + (r**3 - 3*r**3 + 4*r**3)*(-1 + 2 + 2).\nAnswer: 14*r**3 - r + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1091 + 1077 = 118*u + 44. Solve -122 + 50 = u*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2808837667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1314, -1439, -1564, -1689, -1814?\nAnswer: -1939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 14. Solve d*q + 2 = 5*s - 0, -22 = -4*q - 3*s for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -342718*f*h + 19*f - 5584 wrt h?\nAnswer: -342718*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -10*(-8)\/(-10)*23\/(-138)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 46*s - 52 = 0. Is -5 at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 630 + -219. What is the common denominator of (119\/(-374))\/((-1)\/5) and u\/(-36)*1 + 2?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3108 and 63.\nAnswer: 9324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h + 4. Let q(u) = -3*u - 12. Let p(m) = 17*d(m) + 6*q(m). Suppose 10*l - 5*l = 75. Suppose -6*v + 3*v = l. What is p(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -11\/9202 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 166 + -88. Suppose -5*h + v = 3. What is the remainder when 44 is divided by h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44 - -53. What is the highest common factor of y and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 564 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 15 = 0, 5*r = -0*r + y - 10 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from yyfffykykykyyfyyyy?\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (77 - 86) + 1*3. Let h be 141\/11 + 952\/154 + l. Let a be 2\/6 - 2\/6. Sort -3, a, 4, h in decreasing order.\nAnswer: h, 4, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.02788 + -0.02788. Let w = -1.3 + 1. What is the second biggest value in -2\/9, w, -1, a?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 276, 275, 274?\n\"Answer: -i + 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**3 - 29*r**2 - 20*r - 42. Suppose v - 5*z = -15, 4*v + 6*z = 2*z + 36. What is the remainder when n(-14) is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -355502 - 3?\nAnswer: -355505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 19*m**2 + 138*m - 30. Calculate g(-8).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 918396 and 2101896.\nAnswer: 203883912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3.9185 * -0.01126\nAnswer: 0.04412231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/3 and (4 - (-102)\/(-27))*134\/12.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 596752 divided by 2.\nAnswer: 298376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 25)*3\/((-15)\/(-10)). Let k = o - -52. Solve 3*x + k*x = 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3352147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10420 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -4 + -1 + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*l - l, 11 = -2*i + 5*l. Solve -5*w + k + 5 = -5, 4*k + 18 = -i*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 35 in ascending order.\nAnswer: -5, -1, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - (-36)\/9)\/(-2). Put f, -4\/13, 0.4 in ascending order.\nAnswer: f, -4\/13, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + 3*o + 7. Let t be h(3). Suppose 0 = 3*l - t*l + 336. Let k = l + -29. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*o + 2*v, o = 2*o + 2*v - 4. Let l = -56 + 50. Let t = o - l. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87330.83 litres in millilitres?\nAnswer: 87330830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -180 in 5, -3\/8, 1\/362?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 8 = -f + 2*s, -5*s + 20 = 5*f. Let a = 49 - 42. Suppose a = q - 3*y, -4*q + y + 10 = 4. Is f less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o - 20, 3*o = -s - 8 - 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -645275692, -645275691, -645275690, -645275689?\n\"Answer: m - 645275693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a59c (base 15) in base 6?\nAnswer: -1500303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k + 7. Let q be n(2). Let p be 20 - q\/(15\/(-12)). What is the greatest common divisor of p and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0*r - 8 = 0. Suppose -5*i + 0*i = -4*q + 8, 4*q - r = 4*i. What is the second derivative of 0*f - f - f**4 + i*f wrt f?\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(4 + 13470\/(-3365)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-4)\/4*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v = -13*v - 24. Let b(s) = -4*s**3 + 12*s**2 + 3*s + 6. Let x(l) = -3*l**3 + 11*l**2 + 2*l + 5. Let j(m) = 4*b(m) - 5*x(m). Is j(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - -23529121.22.\nAnswer: 23529124.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1*(0\/8 + -1778 + 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15374 - 15393. What is the third biggest value in -2, 15, w, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*c*o**2 - 92*c*o - 2*o**2 - 255*o wrt c?\nAnswer: 4*o**2 - 92*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.8 (b) -0.4 (c) -263\/2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -44 and 17775.4696.\nAnswer: 17731.4696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2320464173 + 15930?\nAnswer: -2320448243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -13.6 and -51.988233?\nAnswer: 38.388233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*b = 30*b - 7025. Round b to the nearest 10.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*n = -75 - 45 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 23*y + 42. Let c(d) = -22*d - 41. Let a(t) = -4*c(t) - 5*u(t). Differentiate a(b) wrt b.\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1488, -1035, -290, 747?\n\"Answer: 146*q**2 + 15*q - 1649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 10*z**2 - 4*z - 8. Suppose -3*m - 15 = 15. Let x be h(m). Let q = 71 - x. List the prime factors of q.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 + -0.6. Suppose 3*w = -3*v, -5*v - 32 = -4*w - v. Suppose -5*d = -3*t - 11, 2*t = w*d - 6 - 4. Which is the biggest value? (a) -1\/3 (b) y (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13835, -13964, -14185, -14504, -14927?\nAnswer: -15460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 50\/8362393?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -53 + 57. List the prime factors of t\/16 - (-358)\/8.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 6*n**2 - 18*n + 79. Let k be j(7). Let z(s) = -k*s - 142 - 142 + 260. What is z(-11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/621 + -1264\/6831. Which is the third smallest value? (a) j (b) 1\/2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -52*k**2 - 526*k - 40. What is r(-10)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3*q**2 - 6*q + 9. Let w(u) = u**2 + 3*u - 4. Let o(y) = -2*p(y) - 5*w(y). Let x be o(3). Suppose 4*f - x = 3*c, -4*f + 3 = -c - 5*f. Sort -3, 0, c.\nAnswer: -3, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 27 = 2*m. Let h be ((-2)\/m)\/((-6)\/120). Solve j - 5 = n + h, -5 = n for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/40 - (-9310)\/784)*20\/15.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -97\/6541431?\nAnswer: -97\/6541431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 5:19 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -4*r. Suppose 4*f + 4 = -8. Sort r, 1, f in descending order.\nAnswer: 1, r, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -374 + 2627\/7. Is 2\/9 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - -6) + 3 - (14 - 7). Let s(t) be the second derivative of -7\/10*t**5 + m*t**4 + 8*t**2 - 14*t + 0*t**3 + 0. Differentiate s(l) wrt l.\nAnswer: -42*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 x, and 2 c when four letters picked without replacement from iirrxxirricrxcrxcc?\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**4 - 7826*b**3 - 86290*b**2 - 149094*b - 70632 = 0 for b.\nAnswer: -9, -1, 3924","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2402*g + 4500. What is the tens digit of i(15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 4*r - 2*p, 3*r + 7 = -4*p + 2. Solve 0 = r*n + 1 + 14 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + 1\/(-2)*0. Suppose -m + 3 = -c*m. Suppose 35 = 3*x - 4*r, -m*x - 4*r - r + 17 = 0. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5251, -11026, -16711, -22306, -27811?\n\"Answer: 45*b**2 - 5910*b + 614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 + 36 - 109 + 41 + u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - 7)\/(2 + -4). Suppose m*w = 3 + 9. What is the remainder when 51 + 4\/4 - w is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -3*a + 5. Let v = a + 4. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, q: 4, d: 2}. What is prob of sequence mdq?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-8) - 21\/(-28). Let f be -1 - -940007 - (s - -6). Round f to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/71, 3\/11, 16, 1, 0.5 in descending order.\nAnswer: 16, 1, 0.5, 3\/11, 6\/71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -10660290 rounded to the nearest 100000?\nAnswer: -10700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7218252 != 7218247?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1768?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.741000762 + 0.741. What is l rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 847 - -ab2?\nAnswer: 1519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 31, 44, 55?\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6703\/42 - 1116\/7. What is the nearest to -0.3 in i, 0.6, 0.4, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 8*z - 7. Let d be f(-7). Let m = -6.7 + 7. Let q = 98 + -195\/2. What is the third biggest value in q, d, m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 7:57 PM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -698 + 2*v**2 + 3*v - 2*v + 281 - 278 - 2*v**3 + 4*v**3 as w*v**2 + z*v**3 + n + m*v and give n.\nAnswer: -695","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.04 = -6\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64248.\nAnswer: 2, 3, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -27*t + 133. Calculate q(4).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*i = -245 + 460 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.1 in -3\/8, 1\/2, 2, -250?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 483319 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -33192238?\nAnswer: 13276895.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/126)\/(2\/12*-2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 1. Let l be -3 + 4 + (o - 2). Solve 5*j - 20 = -0*v + 5*v, l = 3*v + 3*j + 18 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + 4. Let t(d) = 16*d - 176. Let z be t(10). Let s = v + z. Solve s = -3*q + 2*q + 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8.21 and 0.2584?\nAnswer: -2.121464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 + 19. Suppose 0*x + 192 = 3*x. What is the remainder when x is divided by (2\/p)\/(2\/44)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3\/(-2)*154\/(-21) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/2 and 18\/45 + 197\/70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 904024 a multiple of 698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 324*q + 19154 = -14*q for q.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of 223 + 0*u - 3\/2*u**2 - 15\/2*u**3. Factor b(g).\nAnswer: -3*g*(15*g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 5*c + 46 = -53 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*p + 30534 - 1050 = 0. Put -4, 1, p in descending order.\nAnswer: p, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 68 = 4*r, 4*r - 70 = -d - 0*d. Calculate the lowest common multiple of 12 and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1333 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j\/(j\/(j\/j**0)*j))\/j)\/j)**(-2\/25)*((j**(2\/13)*j)\/j)\/((j*j**(-2\/9)*j*j)\/j))\/(j**(2\/3)\/(j**(-1)\/j))**(-20) assuming j is positive.\nAnswer: j**(151484\/2925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a kilometer in meters?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 c when three letters picked without replacement from {f: 2, v: 1, y: 4, c: 2, d: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -o - 1. Let s(h) = h**3 + h. Let n be s(o). What is the second derivative of 4*r - 4*r - n*r**5 - 3*r**5 + r wrt r?\nAnswer: -100*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200 + -100221021012?\nAnswer: -100221020112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - (22 - 50))*(-4)\/4.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 5, -2, -114, 19 in increasing order.\nAnswer: -114, -6, -2, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9052139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14 + -897003?\nAnswer: -896a9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -61403.1347 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oyoc when four letters picked without replacement from ccofffyccofcfcffof.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from blllliivlllllibldl. Give prob of picking 2 i and 2 l.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 4358544 = -1785456. Round j to the nearest 100000.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -36, 2, 11.\nAnswer: -36, 2, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(425)*1)**2 + 1*(sqrt(17) + 1 + -1).\nAnswer: -425 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 252290 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 49 - (1 - (-19 - -19) - -23)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74703 is divided by 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 14*m**3 + 10*m**2 - 65*m + 55. Calculate d(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/7, -2\/13, 0.06, 4\/3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.31056 - 0.2919. What is d rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208*(-2440)\/183*(-30)\/8?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 265, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/2)\/((-3)\/(-8)). Let w = t - 11. Sort 0.5, 0.4, w.\nAnswer: w, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 0.3325.\nAnswer: -16.6675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3352*i = -3442*i - 775 + 2665 for i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 9.2. Which is the biggest value? (a) 0.5 (b) z (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m**2 - 8*m + 335. Determine l(-9).\nAnswer: 650","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 5251013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3.29151km?\nAnswer: 329151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9.121 or 0?\nAnswer: -9.121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62*w - 6*w**3 + w**4 + 63*w - 3*w**3 to g*w**2 + a*w**4 + z + o*w**3 + f*w and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4 - 3366*s**3 + 3333792*s**2 - 367313408*s - 617086525440.\nAnswer: (s - 1232)**3*(s + 330)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 50*n**2 - 2*n + 1. What is the lowest common multiple of i(1) and 70?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 - 5*u - 4. Let w(a) = a**2 - 6*a - 5. Let i(v) = 4*r(v) - 3*w(v). Let o be i(-3). Calculate the greatest common divisor of 35 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of n**2\/2 - 6. Let t(a) = -a**2. What is x(t(h))?\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 932*p**4 + 224*p**3 + 14*p**2 - 226. Let s(c) = -c**4 + 16*c**3 + c**2 + 2. Let g(h) = 42*s(h) - 3*v(h). Differentiate g(k) with respect to k.\nAnswer: -11352*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 5*p + 4*y, -20*y = -24*y + 4. Suppose -5*s = -2*d + 30, -5*s - 19 = -3*d - 4*s. Suppose -n + d*n = 0. Solve 15 = -n*a + p*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/26348 and -69\/9410.\nAnswer: 131740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 3 = 2*a, 2*a - 9 = 4*c + 9 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 483, 482, 479, 474?\n\"Answer: -m**2 + 2*m + 482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or 1.2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n*((n**(-6)*n)\/n)\/n)\/n*n\/(n**(-1\/13)\/n))\/(n**(-7)\/n**(-10)))**1 assuming n is positive.\nAnswer: n**(-90\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 15*i**2 - 42*i - 16. Determine r(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -155*(-8)\/(-120) - 2*(-11)\/2.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 458\/7 >= 65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1787, 4, 7, 4\/7, -2\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26.7 - -27. Let l = 35 - 31. Which is the closest to 0? (a) j (b) l (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -3*m + 6, j - 3*m + 2 = -4. Let y = -2 + 4. Suppose 0 = -j*w + y*w - 114. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*a - 2*o + 266 = -12*a - 17*a, 0 = 3*o - 3. Let p(f) = -f**3 - 2*f - 1. Let i be p(-2). Calculate the highest common factor of a and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + sqrt(57)\/(sqrt(15)\/sqrt(5)*1) - (-4 + 5 + 2 + (sqrt(19) - sqrt(95)\/sqrt(5)))).\nAnswer: -5 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - g**2 - 2*g - 2. What is u(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -9552, -1.8 in decreasing order.\nAnswer: 23, -1.8, -9552","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -17\/4*m**4 - 19*m + 9 + 0*m**3 + 0*m**2. Differentiate y(j) with respect to j.\nAnswer: -51*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -11.3 (b) -3 (c) 6346 (d) 8 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.009523 + -736592.\nAnswer: -736592.009523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a decade in years?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13263999*f**2 + 19*f**3 + 13263999*f**2.\nAnswer: 19*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -510*g + 187 = -499*g. What is the nearest to 0 in -2\/9, g, 0, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -5*a + 60. Calculate the remainder when 56 is divided by a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2. Let q(x) be the first derivative of -12*x**2 - 2. Calculate q(n(m)).\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -3 + 1\/10*y**4 - 4\/15*y**3 + 1\/5*y**2 + 0*y. Let g(l) = 0. Calculate l.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101101000 (base 2) to base 11.\nAnswer: -2a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 577537 = 1854244. Let u = x - -3676707. Suppose 0*d + u = 2*d. What is d rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 11:34 PM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + 3*i + 15. What is the least common multiple of i\/1*(-4)\/10 and 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**16*c)*c\/(c\/(c**8*c)))**32 assuming c is positive.\nAnswer: c**(-224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 5*h - 5. Let i(t) = t**3 + 5*t**2 + 5*t - 2. Let f be i(-4). Let j be d(f). Put j, -5, 4 in decreasing order.\nAnswer: 4, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y + 13. Let o be s(5). Suppose 5*p + 62 = 3*a + 3*p, -2*a + 41 = -p. Let k(b) = b**3 + 7*b**2 - 32. Let n be k(-6). Solve a = -n*v + o for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-41.4.\nAnswer: 82.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 33*i**2 - i + 1. Let g be x(1). Suppose 3*a - 3*c + 0*c = g, 3*a - 5*c - 33 = 0. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 525*w + 3298. Let z be p(-6). Solve 0 = -24*q + 28 - z for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 5. Suppose 0 = -0*u + h*u + 4. Which is the third smallest value? (a) -1 (b) -6\/7 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhxhhggxhhgh. What is prob of sequence hh?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 138 - 20*p - 43 - 99 as z*p + o and give z.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26455497.\nAnswer: 3, 23, 127, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -108 + 35 + 41 + 32 + 188*l + 4*l**2 in the form q + b*l + a*l**2 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8, 20, 46, 92, 164, 268, 410, 596?\n\"Answer: o**3 + o**2 + 2*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 261, 258, 255, 252, 249?\nAnswer: 246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37*s**3 + 14*s**2 - 168*s**3 + 30 + 24*s**3 + 5*s**3 - 96*s**3 wrt s.\nAnswer: -1632","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -2004, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 16 + 10 - 124*h**2 to a + d*h**2 + s*h and give d.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -10165326.\nAnswer: 30495978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -303 - -300.42. Let c = n + -3.7. What is c rounded to 0 decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 5*r - 11, -3*s = 6*r - r + 29. Let q = s - -8. Suppose -5*k - 2*v = -25, 5*v - 3*v = q. Solve 5*o + 3*b = 4*b + 4, 5*b = k for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -2*n, -a + 2*a + 24 = 4*n for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 30498 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: Let n(l) = -l + 10. Let g be n(7). Let a(u) = u**2 - u + 1. Does 2 divide a(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-4 + 2*sqrt(1280) - (0 + sqrt(1280))*5)*-1)**2.\nAnswer: 768*sqrt(5) + 11584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4608222 divided by -242538?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 10*n**2 + 18*n - 8. Give f(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l = -9*l - 8. Suppose 2*u - 3884 = -2*u + 4*j, 3852 = 4*u + l*j. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5390760, -10781498, -16172208, -21562878, -26953496, -32344050, -37734528?\nAnswer: -43124918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -94*f + 589*f - 30277065 - 17878020. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = -9*b - 39 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 55 + -57. Sort b, -2\/7, 0, -0.3.\nAnswer: b, -0.3, -2\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -9636, -19271, -28906, -38541, -48176, -57811?\n\"Answer: -9635*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 292391345 to the power of 1\/4, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1 - 8 + 18*i**3 - 61*i**3 wrt i.\nAnswer: -129*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2878725 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 13b (base 12) to base 4\nAnswer: 2333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 3\/4, -1\/9, -0.5, -1587 in decreasing order.\nAnswer: 3\/4, -1\/9, -0.2, -0.5, -1587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26703*p - 39*p**2 + 26703*p - 2 to z*p + o + g*p**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**2*y)**(-7\/6)*y*y*y*y**(-4\/7)*y*y*y*y**(2\/23) assuming y is positive.\nAnswer: y**(649\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((-5*(sqrt(252) - (-1 + sqrt(252))) + sqrt(252))*3)**2*4 + -1).\nAnswer: -19942 + 4320*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 30 - 20 - z**2 - 37 + 109.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 131442041 - -1121?\nAnswer: 131443212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 203?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68813.\nAnswer: 68813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 2*u - 6*u + 122, -4*w - 79 = 3*u. Let c = -10 - w. Suppose -70 = -f - 54. Calculate the least common multiple of c and f.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (-35 + 27 - 9)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 341141 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 6:42 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 0.2, 0.988, -0.042?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 304475*f - 3*f**2 - 304475*f.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 26. What is the least common multiple of 12 and w?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 5 (c) 84 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 45*p. Let a(l) = -214086*l. Give a(k(c)).\nAnswer: -9633870*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (105 - 107 - (-8)\/3) + (-52)\/6\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b + 3. Let f be k(3). Suppose -2*s = -f + 16. Let d = 2 + -4. Put 1, s, d in decreasing order.\nAnswer: 1, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 9*q**2 - 10*q + 9. Let m(n) = 3*n**3 - 27*n**2 + 30*n - 27. Let y(r) = -11*f(r) - 4*m(r). Is y(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -650 - -687. Suppose 21*x = r*x - 608. Suppose 63 = 5*y - 2*y. Calculate the remainder when x is divided by y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, a: 4, z: 4}. What is prob of picking 2 z and 2 a?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-66)\/(-110))\/(((-36)\/32)\/((-15)\/76))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -81.22 - -81.22. Which is the closest to x? (a) -0.4 (b) 3\/2 (c) 10 (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4605213 to the power of 1\/2, to the nearest integer?\nAnswer: 2146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 4. Let a be 695\/(-6) + 2\/(-12). Let k = 578\/5 + a. What is the second biggest value in k, f, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10467 + -10469. Sort o, 0.9, 2, -49 in descending order.\nAnswer: 2, 0.9, o, -49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -w**5\/5 - 43*w**4\/4 - 391*w**3\/3 + 1587*w**2\/2 - 122. Find y such that l(y) = 0.\nAnswer: -23, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 9:02 AM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 396916.232 rounded to the nearest one hundred?\nAnswer: 396900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of t**3 + 140*t**2 - 316.\nAnswer: 3*t**2 + 280*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6813.\nAnswer: 3, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -672520 rounded to the nearest one thousand?\nAnswer: -673000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 8:21 PM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-14)*c**5*(c\/c**(2\/7))**30)**(-2\/3) assuming c is positive.\nAnswer: c**(-58\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(0 + 1) - (30 - -42). Let h = x - -51. Let b(z) = -4*z + 33. Is b(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -66\/7 - -653\/70. Calculate the common denominator of c and (3\/(-108))\/((-1)\/14).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -20 - 5\/6*n**3 - 55\/2*n**2 - 605\/2*n. Factor g(p).\nAnswer: -5*(p + 11)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37112 + -37111. Suppose q = l - 9, -l + 2 = 2*q + 5. Sort a, q, 11 in increasing order.\nAnswer: q, a, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/39 (b) -2\/13 (c) 3 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((z**(-4)*z)\/z*z)\/z)\/z)\/z*(z**(5\/2)\/z)\/z*z**4*z**(-3))**(-27) assuming z is positive.\nAnswer: z**(243\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 610433015 to the nearest integer?\nAnswer: 24707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -161381*c**2*k*y - 27*c**2*y + c*k + c*y - 6012566*k wrt c?\nAnswer: -322762*k*y - 54*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssususssussssssusss. Give prob of sequence susu.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 13*d = -40 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2572701*-0.064.\nAnswer: 164652.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 710146 + 41*v**3 - 2130443 + 710144 + 14*v**3 + 710153.\nAnswer: 55*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 610, 612, 614, 616, 618, 620?\nAnswer: 622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 290\/(-2175) + 502\/(-10). Let t = -38 - 13. Which is smaller: t or u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 228.6 - 205. What is h rounded to 0 dps?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 21*u**2 - 47*u - 17. Let p be i(-23). Solve 0 = r - p + 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (78\/117)\/(4\/1446474) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4032)\/255024)\/(2\/33)?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l + 17227 = 44956. What is the highest common factor of 158 and l?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -292313 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -1 + (-5 - (1 - (8 + 5))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g - 1. Calculate r(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 5*d - 45 = -2*v, -106 = -5*v + 2*d. Suppose 4*s = 2*s. Suppose -3*u + 10 + 2 = s. Solve 4*a - 2*i + 8 = 0, u*a + 8 + v = -3*i for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 8:37 AM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 13*x**3 + 4*x**2 + 7*x**3 - 2*x + 8*x**3 to o*x**3 + f*x + c + y*x**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 11 - 424 = 5*r, 352 = 4*o - 3*r. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + s - 12. What is t(6)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 5:00 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 13\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2966, 14, 0.5, -6, -3\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.2, 0, 4, -10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-26682)\/(-42) - 6\/21 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 37*u = 40*u + 7, 0 = -2*t + 5*u - 9 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-1))\/((-4)\/(-6)). Suppose 2*u - 452 = -4*a, -k*a + 2*u + 365 = -3*u. Let o be 2\/(-7) - (a\/(-35) - -3). Solve o = 3*w + 16 - 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of 7\/20*n**4 + 24 + 0*n**2 + 1\/5*n**3 + 4\/25*n**5 + 0*n. Factor g(c).\nAnswer: c**2*(c + 1)*(4*c + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1955764457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 - (82 - (-10 - (25 - 37))).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j**2 + 8. Let s(t) = -616375*t. Calculate l(s(u)).\nAnswer: -759836281250*u**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2708 divided by -94098\nAnswer: 1354\/47049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of 2\/3*r**3 + 0*r**2 + 4*r + 0. Let h(p) = 0*p**2 + p**2 - 2*p**2. Give h(d(x)).\nAnswer: -16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1161)\/(-24)*-2*-4 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ce when two letters picked without replacement from meccc.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4*y + 3. Let z(t) = -16*t + 8. Let k(n) = n. Let x(m) = 5*k(m) + z(m). What is 8*s(f) - 3*x(f)?\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*r + 50*r = -9690. Is 19 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 4:20 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40 + 7 + 35 + (-44 - -3).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u**3 - 2*u**2 + 6*u - 4. Let g(v) = v**3 + v**2 - v - 1. Determine -4*g(f) + k(f).\nAnswer: -f**3 - 6*f**2 + 10*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 16*t**3 + 4535*t**2 + 5. Let b(m) = -9*m**3 - 2266*m**2 - 3. Give -7*b(v) - 4*s(v).\nAnswer: -v**3 - 2278*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 170*x + 242*x - 5356 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13340 and 11692075.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -751.7 * 1.224\nAnswer: -920.0808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94006485 is divided by 3084.\nAnswer: 3081","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11200020120211 + 0?\nAnswer: -11200020120211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -510, -1020, -1530, -2040?\nAnswer: -2550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9996, -80067, -270260, -640635, -1251252?\n\"Answer: -10010*p**3 - p**2 + 2*p + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 12 = 5*n. Find the second derivative of g + 3*g - 2*g - 3*g**n wrt g.\nAnswer: -18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 885, -3, -0.3, -5?\nAnswer: 885","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 174037 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1768 + -1731. Let x be (-5)\/(-1*1\/7). Let j = u - x. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161604 divided by -26934?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/4*17\/(-2040)*40*-342?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of -j**4\/6 - 8*j. Let c(h) = 3*h - 2 + 2. Determine c(s(k)).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 4*d**2 - 2*d - 6. Let y be k(-4). Suppose -29710 = -y*x + 1447340. Suppose 17*h + 85725 - x = 0. Round h to the nearest one thousand.\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*1\/(-2)*(-20)\/15.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in -0.04, 0.03, -2\/7, -0.0572?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -101, -155, -209, -263?\nAnswer: -317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 10. Suppose 3*a - 6*a + 12 = i. Suppose 2*u + 5*s = 2*s + 4, a*u - 14 = -3*s. Solve 0*h - 5*h = -u for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22102102 + 1120220001?\nAnswer: 1021110122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + x**2 + x + 1. Let f(m) = -3*m**3 + 2*m**2 - 6*m - 8. Let d(j) = -f(j) - 2*n(j). Is d(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10109? (a) -10.4 (b) -4 (c) -1.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53623.\nAnswer: 53623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30459 - -30060.86. Let k = 398 + y. What is the biggest value in -2\/3, k, -0.4, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 1, 97403, -5, -2 in increasing order.\nAnswer: -5, -2, 1, 14, 97403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -266605 (base 7) in base 10?\nAnswer: -50377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -7*u - 3. Let w = 6 + -10. Let g be n(w). Suppose -h - g = -6*h. Does 5 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 360 and 96?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-6) - 15\/8.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1539 divide 449285292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -4*f**5\/45 + 16*f**4\/9 - 40*f**3\/3 + 400*f**2\/9 - 500*f\/9 + 2. Factor h(j).\nAnswer: -4*(j - 5)**3*(j - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*f + 76*f - 97*f + 71*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 817 and 190.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**2 + 366*q - 3860 = 0 for q.\nAnswer: -193, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -5, 3*k + 8881*m = 8880*m - 5 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 7:18 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -464, -1, -5, -17, -1\/9, -2\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 10) to base 6\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 85*d - 245. Let f = -19 + 29. What is the lowest common multiple of l(3) and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5757828.2 to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 5*n - 3132. Suppose -s = -3*s - 4*x + 182, 4*s - n = -4*x. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from otpbuuutbuwbopp. What is prob of picking 2 t and 1 o?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**5 + 0*x**5 + 2*x**5 + (-9*x**2 + 10*x**2 + 10*x**2)*(-4*x**3 - x**3 - 2*x**3) + 3 - 3 + 2*x**5.\nAnswer: -73*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 98552520?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllllljllljlllllll. What is prob of picking 2 l and 1 j?\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/80 and -47\/504.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 57 = -2*n + 3*y, -y = -5*n + 95. Let r be (24\/n)\/(2\/(-6)). Let d(i) = i - 4. Give d(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -75*y - 12247. Calculate t(-159).\nAnswer: -322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -60 + 60. What is the nearest to t in 0.3, -4, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (160\/(-48))\/((-5)\/36) + -2 + 5. Solve -j = -20*s - 67 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*c**2*r + 3*c**2 - c*r - 1622*c - 1870*r wrt r.\nAnswer: -10*c**2 - c - 1870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -72048*c**2 + 936621*c - 6. Give l(13).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1dc - 1b4a?\nAnswer: -1d37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38*-3161.\nAnswer: -120118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7171111 - 7171008.00118. Let p = -103 + z. What is p rounded to 4 decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 1:32 PM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hjhhhhhjjjhhhhhhhhhh. Give prob of picking 4 h.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + -14 - (-4)\/2. Let h be (-6)\/x - 18\/20. Let y = 3.8 + -4. What is the biggest value in y, 1, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -1142040?\nAnswer: 1142040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3700 divided by -11.\nAnswer: 3700\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one fifths of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -5) + (0 - 5 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/8932 and -18\/5423?\nAnswer: 151844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 10*x**2 - 7*x + 4. What is the units digit of y(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**2 + 200*o - 2714. What is the ten thousands digit of s(-173)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 2:48 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 5. Let s be (41\/(-188))\/(3\/2). Let w = s - 1\/47. Which is the closest to -2\/5? (a) d (b) 2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3\/5 + 546*m**2\/5 - 38787*m\/5 + 75366\/5.\nAnswer: 3*(m - 53)*(m - 2)*(m + 237)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1543, 1520, 1485, 1438, 1379?\nAnswer: 1308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 3*w - 45, w = -4*d + 22 + 18. Calculate the remainder when 3539 is divided by w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of 0 - 16\/3*j**3 + 5\/3*j**6 + 0*j**2 - 38\/3*j**4 - 8*j**5 + 7*j. Solve n(v) = 0 for v.\nAnswer: -2\/5, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/5, 0, -0.028, 50, 18?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -11, -2, 13?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from zzzzzzzpzzzz?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 506 + -801. Let w = 295 + l. What is the third biggest value in 3\/8, -3, 0.2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 330410?\nAnswer: 330414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2960?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -35689906 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(252)\/(2*sqrt(7)))\/(-6*sqrt(48)\/sqrt(4)) + (sqrt(3)*-1 + -2 + sqrt(3) + -1*(sqrt(3) + 0))**2.\nAnswer: 4 + 47*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -767*a**2 - 4583*a - 1603518 wrt a?\nAnswer: -1534*a - 4583","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/19)\/(-2)*126\/63.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 + 7 - 3)*0 - -6. What are the prime factors of (2116\/(-12))\/((-2)\/z)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2524 minus 30141775?\nAnswer: -30141775.2524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/24 + ((-20387)\/(-888) - 25).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 180 divide 151616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v + 3*v + v + (-5*v - 4 + 4)*(-46 - 29 + 19) in the form f + h*v and give h.\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15595? (a) 3\/5 (b) -7 (c) 53 (d) -5 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/24 of a decade?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58*q**3 - 3 - 59*q**3 - 2*q**4 + 0 - 6*q**2 + 0*q**2 to l*q**4 + b + f*q + n*q**2 + r*q**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q + 15*q - 3*h = 2, 5*q = 3*h + 26. Suppose -q*f = -66 + 74. Let o(y) = -y**3 - y. Let l(n) = 3*n - 6*n**3 - 5*n + 4*n**3 + n. Give f*l(m) + 2*o(m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/5 + 552\/460. Factor -2\/5*b - v*b**2 + 0.\nAnswer: -2*b*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 513?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 11101110011 (base 2) to base 4\nAnswer: 131303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.5 - 5. Let o = 4.6 - j. What is o rounded to 0 dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (1 - -1)) + (-2 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*a + 13 = -41*a + 5*x + 34, -4*a = 2377*x - 2429 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 5*m + 8. Suppose -94*v = -380 + 4. Calculate k(v).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 5. Suppose -4*w + 13 = d. Solve -q + 4*r + 13 = -0*q, -2*r = 4*q + w for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -422975 divided by 175\nAnswer: -2417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0*t = 4*n + 18, 0 = -5*n + t - 24. Let m(x) = x**3 + 6*x - 6*x + 5*x**2 + x + 5 + 2*x. Give m(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166001 is divided by 325.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1020300 to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/((-168)\/(-35)))\/(-1).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4407000 rounded to the nearest 100000?\nAnswer: 4400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2*sqrt(27)*1)\/(sqrt(99)\/(sqrt(11)*2))*5.\nAnswer: 80*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 366759 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: Expand (-1 + l + 1)*(-5*l - 2*l + 0*l) - 3*l**2 - 4*l**2 - 2*l**2 + l**2 - 3 - 14*l + 15*l - 5.\nAnswer: -15*l**2 + l - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 298\/14 - 2\/7. Suppose -4*l - 3*z = 63, -l - 2*z - 22 = -0*z. What is the units digit of ((-56)\/i)\/(2\/l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 1765\/8 (c) -13628\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 13*i**3 + 2*i**2 + 5*i - 5. Let z(p) = 1 + 13*p**3 - 20*p**3 - 3*p - 6 + 8 + 2*p**2 - 3*p**2. What is -3*o(a) - 5*z(a)?\nAnswer: -4*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-34)\/k*k*k*k)\/(k**(-1\/60)\/k))**(-2\/73))**12 assuming k is positive.\nAnswer: k**(3598\/365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 25 (b) -0.5 (c) -1\/7 (d) 36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -33 + 2?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*8)\/(-2) + 42\/(-10).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1579 is divided by 227?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/66 and 115\/2616?\nAnswer: 28776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/7, 0.6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -12 - (6 - (-5 - -9))*1. Let g(b) = 5*b + 75. Determine g(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 245 - 122. Is o a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 12\/9*945\/264 and 3*3\/27 - 658\/(-60).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -89, -183, -283, -371, -429, -439?\nAnswer: -383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.384 and 7.\nAnswer: 2.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3781425, -3781423, -3781421?\nAnswer: -3781419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -4*m + 1 + 1\/2*m**2. Let d be c(5). Solve 0 = -v - 0 + d for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 8:53 AM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.5, -62\/11, 0, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of q**4\/8 - 4*q**3 + q - 12. Suppose v(z) = 0. What is z?\nAnswer: 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 9 + 2)*(3 + 1 - 3)*((4*g + 3*g - 5*g)*(1 - 1 - 2*g) + 0*g**2 - g**2 - 5*g**2).\nAnswer: -110*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from dpgpgdeggtg?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Express -929*h**2 - 10*h + 924*h**2 + 8*h + 8 as d*h + n*h**2 + o and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-3 + (sqrt(1088) - (0 + sqrt(1088))))**2 + 3).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 o, and 1 b when three letters picked without replacement from cqwcwob.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(2\/9)*o)**(-16))**7\/(((o*o\/o**0)\/(o\/(o*o\/(o*o\/(o*o**2)))))\/(((o*o*o**(-1)*o)\/o*o)\/((o*o*o**(-7)*o)\/o))) assuming o is positive.\nAnswer: o**(-1765\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9684149?\nAnswer: 9684149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191*(-1 + (-24)\/(-12)) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 184203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 797 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3400 and 24200.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - (-7)\/((-28)\/(-8)). Let g(a) = a**2 - a - 1. Let t(r) = r**2 - 6*r - 4. Calculate j*t(y) - 4*g(y).\nAnswer: -3*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -0*z - 3*z. Suppose -i - z = -251. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 36, 4, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -15*o + 14*o, -3*r = -3*o + 6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 72*j - 151. Let d(q) = 3*q**2 - 2*q - 1. Let k be d(3). Calculate the remainder when y(4) is divided by (8 + k)*(-2)\/(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 17\/2 of a day?\nAnswer: 12240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -124 + 18*u**2 - 19*u**2 - 21 to the form l + q*u**2 + j*u and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 4*j**2 - 4*j + 4. Give s(3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((40\/(-90))\/((-28)\/(-21)))\/(-7)\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/5))**(37\/5) assuming h is positive.\nAnswer: h**(-111\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 10*d**2 + 451*d - 97. Calculate the least common multiple of p(-47) and 16.\nAnswer: 3184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -3543, 195 in increasing order.\nAnswer: -3543, 9, 195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 6 + -1 + -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1051 take away -105083?\nAnswer: 105082.8949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 3133 + 3127 = 2*a, -4*a - 2*r = -18 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4}. Give prob of sequence qqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 614940151?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3762 - -6701. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v**3 - 2*v - 1. Let p be n(-1). Suppose -p*i + 0*i + 24 = 0. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/99)\/(221\/(-187))?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 2*r**2 + 3*r + 16. Let t be x(-4). Suppose 201 = 8*l - 3*l + j, l - 4*j = t. What is the remainder when 77 is divided by l?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -183*r - 71. List the prime factors of u(-6).\nAnswer: 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-70)\/4*(-4 + 2\/(-1)). Let m = -73 + x. What is the lowest common multiple of 10 and m?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10224 and 1300365?\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*q**2 + 19*q**3 - 10*q**2 + 22*q**2 + 0*q**2 wrt q.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-3 - (-3 + -4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-14 + 31)\/(2\/18) is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/14 + (-16571)\/46081. What is the closest to -2\/15 in 1, w, -3\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4*f = -16 + 28, 2*o = -3*f + 9. Let k = 41 - 45. What is the nearest to o in -1, k, 1\/3, -20?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 0 - 88*q + 81*q + 0. Let x(p) = 3 - 3 + p**2. Calculate v(x(m)).\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k\/k**(-2\/3)))**6*(k*(k*((k*k**(-1))\/k)\/k)\/k)**(-20))\/((k\/k**(2\/7))**10)**(2\/41) assuming k is positive.\nAnswer: k**(6214\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffuuffffufu. What is prob of picking 1 u and 2 f?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-15)\/(-20))\/((-6)\/(-32)). Suppose -z*v - 24 = -10*v. Suppose -12 = d - v*d. Solve d*t - 8 = -0*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -46894*q + 46806. What is h(1)?\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, r: 1, b: 4, z: 1}. Give prob of picking 2 b and 1 z.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 7:45 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yooo when four letters picked without replacement from yyooyoyyyyyyoooooo?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 0*k + 4. Suppose 3*j - 4*b = -j + 96, -4 = k*b. Calculate the lowest common multiple of 20 and j.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -74 + 121 - 47 + c. Let j be (-4)\/(-12) - (-5)\/3. Let f(q) = j*q + 3*q + q. What is s(f(y))?\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4210*t - 4214*t + 3*j + 29 = 0, 17 = -2*t - 9*j for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a microsecond in nanoseconds?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -127, -120, -109, -100, -99, -112, -145, -204?\n\"Answer: -x**3 + 8*x**2 - 10*x - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*m**2 + 3*m - 2*m**2 + 420 - m + 5*m**2 in the form j*m**2 + c*m + l and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/(-6)*(-32)\/(-6). Let b = q + -5. Suppose -3*s + 7*s - 41 = b*k, -2*k - 22 = -2*s. Which is bigger: s or 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1237ca (base 14) in base 9?\nAnswer: -1151510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5457*d + 2914*d + 3161*d.\nAnswer: 11532*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2000 and 1776700.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from kkiikiiiikkkkkiikiik?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -176*y**4 - 21544*y**3 + 6*y**2 + 48*y - 7546.\nAnswer: -4224*y - 129264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 5)*(-2 + 4 - 1)*(-f + f - f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182*l + 182*l = 6*l. Let x(v) = -2*v + 19. Let c(y) = 2*y - 19. Let t(u) = 5*c(u) + 6*x(u). Give t(l).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2. Let z(f) = -111*f**2 - 2*f + 4. Determine -2*a(y) - z(y).\nAnswer: 111*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27.72 + 0.72. Let k = 254723196 - 254723223.0000021. Let z = x - k. What is z rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -13*l**2 - 6*l - 76. Let b(t) = 5*t**2 + 3*t + 37. Let q(y) = -5*b(y) - 2*i(y). Calculate q(0).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kcofaazkzcfozkoozkoo. Give prob of sequence ockk.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3320.5933295 + -4000.735564398. Let z = 12.857717002 - f. Let g = 693 - z. Round g to 6 dps.\nAnswer: 0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (-34 + (-16 - -41)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 233999?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 198*z - 784. Let p(l) = -l. What is p(w(k))?\nAnswer: -198*k + 784","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 2\/3 (b) 1 (c) -0.04 (d) 6 (e) -93\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of 1\/9*s**3 + 0*s**4 - 1\/30*s**5 + 0 - 4*s + 0*s**2. Solve g(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1342, -3220, -5098, -6976, -8854?\nAnswer: -10732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -20557.3 - 6162.660618\nAnswer: -26719.960618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 51431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2436?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1200 + 3\/2*o**2 - 135*o.\nAnswer: 3*(o - 80)*(o - 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 bigger than -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 155.8 rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78, 304, 682, 1212?\nAnswer: 1894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -84 - -146. Suppose -q - q = -l. Calculate the remainder when q is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1115 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 8:53 PM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 331809108 a multiple of 149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6043406407 to the power of 1\/3, to the nearest integer?\nAnswer: 1821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -0.2 (b) 96 (c) -5\/3 (d) -5 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.589 + 0.689. Let i be 2\/1*(0 - -5). Let u = i - 5. Which is the nearest to v? (a) u (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2918259*d**3 + 2099414?\nAnswer: 8754777*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 169 + 96. Suppose -5*a - 4*s = -v, a - 52 = -2*s + s. Is a a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 672 and 287392.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 4:22 AM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.17 + 7.17. Let a = 6 - u. What is the third biggest value in -6, a, -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502802390 to the power of 1\/2, to the nearest integer?\nAnswer: 22423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - -10. Suppose 23 + l = 3*t. Suppose 4*n = 5*j - t, 5*j - 16 = -2*n + 3*j. Sort -2, n, -4.\nAnswer: -4, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 1427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1297, -6596, -15429, -27796, -43697?\n\"Answer: -1767*n**2 + 2*n + 468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {p: 2, a: 6}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 971 = -3*r - 3323, -3*g + 6475 = 4*r. Suppose g = 22*z - 267. Calculate the greatest common factor of 22 and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 140 by 2814.\nAnswer: 10\/201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) - (-5*sqrt(3168) - sqrt(3168)))\/(sqrt(1100)*5).\nAnswer: 73*sqrt(2)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*f + 48 = -6*f. Let m(b) = -2*b**3 - 6*b**2 + 4*b + 4. Let x be -2*(-2)\/(-4)*5. Let n(y) = -3*y**3 - 7*y**2 + 5*y + 5. Calculate f*n(i) + x*m(i).\nAnswer: -2*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -0*l + 5*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1627335774 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**2\/7 - 12*g\/7 + 16\/7 = 0. What is g?\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 635 a factor of 905963629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q + 65. Let u be n(13). Calculate the greatest common factor of 78 and u.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 5*a + 2 = 1, w - 2 = -4*a. Let v be ((-14)\/4 - w)*64\/(-12). Suppose -n = -0*n + 1. Is v greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 6*377380\/240 + 2\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 g, and 2 f when four letters picked without replacement from gggffwgwgfggf.\nAnswer: 84\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + (-4 - -4)\/(2\/(-2)). What is the greatest common factor of 16 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 6 = 5*d, -16 - 11 = 4*d + 5*y for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - -1 - (-1 + 7 + -7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 746 not equal to -0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 44*n**2 - 22*n - 252. Let b be i(43). Suppose p - 3*t + 1 = -3*p, 2*p - 5*t + 11 = 0. Suppose p*d = -5*d + b. Is 31 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 755088913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24838 and 272089.\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -406*u + 292*u - 2736 = 0 for u.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 7*l**2\/4 + l\/4 = 0?\nAnswer: -1\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2 + (12 - (-2)\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 11125 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (428\/(-84) - -4)*1. Let g = n + 10\/7. Let r = -0.4 + 0.36. Which is the nearest to g? (a) r (b) 0.3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18475303.\nAnswer: 7, 11, 151, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/5*(-5)\/(-3). Let w = 0.6 + -0.6. Let q = -0.1 + w. What is the nearest to t in q, -3\/4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 30980984*t**2. Let n(z) = -z. Determine b(n(h)).\nAnswer: 30980984*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 561217 is divided by 3091.\nAnswer: 1746","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 3*d**2 + 115*d + 117. What is x(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11782118 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 1013*f**2 + 33*f + 36. What is the hundreds digit of k(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 5*z + 19)*(-1 + 5 - 3) + 16*z - 38*z + 14*z + 1.\nAnswer: -3*z + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (5 - (-14)\/(-2))*998*2\/(-4) is divided by 67?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -7*a**3 + 362*a**2 - 256*a + 295. What is u(51)?\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of r**6\/360 + 5*r**3\/6 + 10*r. Let m(h) be the second derivative of b(h). Let t(f) = 13*f. Give m(t(l)).\nAnswer: 169*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1)*g\/((g\/(g\/g**(-4\/7)))\/g))\/(g**(-4)\/g)**(-2) assuming g is positive.\nAnswer: g**(-59\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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: Let h(n) = 2*n + 1. Let t be h(2). Suppose -5*f = -13*f + 16. Solve 4*k - f = -t*r + 11, 0 = -4*r + 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -565, -573, -579, -583?\n\"Answer: d**2 - 11*d - 555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 293177569.\nAnswer: 43, 6818083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.13, 0.06543, 3?\nAnswer: 0.06543","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 11*o**2. Let w(m) = -70*m - 12 + 49*m - 8 + 21*m - 2*m**2. Determine w(z(j)).\nAnswer: -242*j**4 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25866 and 2889.\nAnswer: 2767662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48164, 47180, 46194, 45206?\nAnswer: 44216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = 9*z + 7*z + 220 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 15 = 3*d, 0*d - 5 = -5*l - d. Let i(y) be the first derivative of 4 + 3\/2*y**4 - 4\/5*y**5 + 1\/6*y**6 + 1\/2*y**2 - 4\/3*y**3 + l*y. Factor i(u).\nAnswer: u*(u - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 300 = 33*l + 506 + 520 for l.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 51, 5, 4, -3, 2 in increasing order.\nAnswer: -3, 2, 4, 5, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a week in hours?\nAnswer: 2436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m - 10 = v - 7*m, -4*v - 8 = 4*m for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5611.7 rounded to the nearest 100?\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - ((13 - 19) + 6) - 8?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of g**3\/3 + 9*g**2 + 14*g - 550. Calculate m(-18).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-6)*t*t\/(((t\/(t\/t**(-1\/21)*t))\/t)\/t) assuming t is positive.\nAnswer: t**(-20\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4276664 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c + 30. Let y(m) = 4*m + 149. Let f(g) = -11*v(g) + 2*y(g). Let l be f(-11). Solve 3*q - b + l + 5 = 0, 12 = 4*b for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1300 divided by -65?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x**2 - 2*x + 25 + x**4 - 15 - 9 as d*x**3 + g*x**2 + h*x**4 + w*x + u and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of 13*t**5\/120 + t**3\/3 + 41*t**2 - 158. Let j(y) be the third derivative of i(y). Calculate j(2).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1030, -2025, -3014, -3997, -4974?\nAnswer: -5945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1 + 16553)\/(-22 - (18 + -42))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -3*d - 2*q - 318, 0 = 5*d - 5*q + 540. Let u = d + 118. Solve -u*i = -10*i + 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2170 = 686*l - 225*l + 9816 for l.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.7 + -1.3. Let i = 2 + j. Which is the nearest to -6? (a) i (b) 1\/4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -r**7\/630 + r**6\/90 - r**5\/36 + r**4\/36 + r**2 + 3*r. Let x(f) be the first derivative of y(f). Factor x(h).\nAnswer: -h*(h - 2)*(h - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 13. Let u = -11286 + 11290. Which is the closest to w? (a) -2 (b) u (c) 0.5 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 332622?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 17 + 5 = 0. Let v(i) be the third derivative of i**6\/120 - i**5\/15 - 3*i**4\/8 + 7*i**3\/6 - 24820*i**2. Give v(j).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38834 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26081*v**2 - 155*v**3 - 366*v**3 + 26081*v**2 + 93*v**3.\nAnswer: -428*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/15*(-50)\/(-15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 40432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.6 - 2.6. Let z(c) = -2*c**2 - 3*c. Let w be z(-2). Let j be 2 + (-10)\/3 - w. What is the nearest to g in 0.4, j, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1898178, -7592654, -17083418, -30370464, -47453786, -68333378, -93009234?\nAnswer: -121481348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 2, -1 in descending order.\nAnswer: 5, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o + 4 - 8 + 25 + (-o - 3 + 3 + (-2*o + 1 - 1)*(0 - 2 + 0) + 3*o - 3*o + 2*o)*(-13 - 3 - 1) in the form p*o + a and give p.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.11 * -157390.\nAnswer: -17312.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*n**3 - 25*n**2 + 29*n**3 + n**2 + 24*n**3 + 24*n**2.\nAnswer: 9*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a millimeter in micrometers?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5420 divide 441972287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 602?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -141\/16, -4.88, -0.24?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 2*u - 12, 4*l + 17 + 7 = -4*u. Let n = 7 + l. Suppose -6 = j - n*j. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mw when two letters picked without replacement from {j: 5, m: 1, w: 4, s: 10}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c. Let l(s) be the third derivative of s**4\/12 - 11419*s**3\/6 - 3067*s**2. Determine a(l(w)).\nAnswer: -2*w + 11419","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3337 - 3336.99996211. What is i rounded to 6 dps?\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-480)\/(-54)*9)\/(2\/166)?\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -4*1*357\/(-14) is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -1040313431?\nAnswer: -1040313434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -123123 + -2301?\nAnswer: -132030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3486*f**2*w**4 - 6*f**2*w**2 - 2*f**2*w + f*w**5 + 335*f wrt w.\nAnswer: -83664*f**2*w + 60*f*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 9*c + 15. Give u(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 3*h. Solve h = i + 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w**2 + 33*w + 29. Give f(12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3956559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 10. Let z = x + -3. Suppose -z*m = a, -4*m = 2 + 10. Solve -4*g + 1 = -2*p - p, -a = -5*p - 4*g for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, y: 4}. What is prob of picking 2 k?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**2 - 131*l**3 + 0*l**2 + 2*l**2.\nAnswer: -131*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*t - 1 = 0. Suppose 0 = l - 3*l + 6. Sort -2, l, t in descending order.\nAnswer: l, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 22436*f - 516262. Give r(23).\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/7)\/((-36)\/(-42) + -1). Suppose -3*j + 15 = -5*g, 3*j - d*j + 5 = 5*g. Solve -3*m + j = -m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d + 10. Let p be b(12). Let g = 0 - p. Suppose -2*c - g*s - 8 = 12, -5*s - 5 = -4*c. Sort -2\/5, c, 3 in decreasing order.\nAnswer: 3, -2\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7945 and -11.\nAnswer: -87395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6\/13 (b) 0.2 (c) -21 (d) -620\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 5*x = 10. Let p = 1.4 - 1.5. Which is the closest to -3? (a) -0.5 (b) x (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 3 + (-5 - 1 + 5)*(0 - 1 + 0) - 72 + 3 + 12)*(21*q**4 + 22*q**4 - 5*q**4).\nAnswer: -2052*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 63.984\nAnswer: 31.992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -65, 5, 2 in increasing order.\nAnswer: -65, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 28877*p - 1559361. Determine t(54).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 86\/250695 and -145\/3186612?\nAnswer: 143397540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 119\/4 - 9\/12. Let m = -26 + j. Let v be 5\/m - (5 + 16\/(-3)). Solve -v*u + 8 = -0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6759721, 6759720, 6759719, 6759718, 6759717?\nAnswer: 6759716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 - ((-6)\/3 + 0). What is the second smallest value in y, 3\/2, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - 1501*s - 44209. Give i(-29).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -205*d**3 + 5*d**2 + 15.\nAnswer: -1230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 11*x**2 - x - 1. Let g be d(-1). Let f = 107 + -103. Solve 2*w = 0, -3*z + f*w + g = -1 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 3*c = c + 17, 3*c = -15. Suppose -m + 9 + r = 0. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-2 - (-66)\/32). Let p = -13 - v. Let f(b) = 16*b**2 + 4*b - 4. Let o be f(3). Calculate the greatest common factor of p and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*c - 14 = -3*c, -25 = -5*c. Let f be -5 - (3 - q) - 6. What is the nearest to f in -5, -1\/5, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-1*2\/(-4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a gram in milligrams?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -670 - -3352\/5. Which is the second smallest value? (a) -7 (b) -4 (c) g (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.04 + -1.34. Let j be (2\/(-20))\/((-4)\/(-234)). Let h = j - -25\/4. Sort -1, 3, r, h.\nAnswer: -1, r, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28465 divided by -45800\nAnswer: -5693\/9160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + 4*w + 5. Let h be o(5). Suppose 2*m = g + 3, 12 = 4*g - 8. Calculate the remainder when 0 + (h - (2 - 9)) is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 375653.\nAnswer: 59, 6367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-2*(5*(sqrt(11) + 3))**2.\nAnswer: 1500*sqrt(11) + 5000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + -3 + 3 - 37) + 22?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 288 divided by 7055\nAnswer: 288\/7055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3612 - 3612. Let d(y) be the second derivative of -28*y - 1\/6*y**4 - y**3 + k + 0*y**2. Solve d(c) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 30*n - 560. What is the tens digit of m(58)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 4*f**2 + 3*f - 4. Let w be p(-5). Suppose -5*s = 4*l - 24, w*l - 2*l - s - 24 = 0. Suppose 0 = 2*y - l - 8. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 8*d**2 - 4*d + 8. Let t be h(2). Suppose 10*v + t = 52. Solve v*o = 7*o - 20 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -9632*t - 14. Let b be h(-3). Suppose 0 = -15*v + v + b. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -2.584\nAnswer: 12.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -561 divided by -17.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1504)\/(-6)*(-27972)\/(-336). Suppose 3*q = 8371 + 6533. Suppose 0 = 3*i + b - q. Round i to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q**2 - q + q)*((4 - 4 - 18*q)*(0 + 2 - 4) + 0*q - 3*q + 7*q - 5*q + 0 + 0) as f*q**3 + j + n*q**2 + x*q and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of -305*o**8\/336 + 59*o**4\/24 + o**3\/2 + 153*o**2. Find the second derivative of z(i) wrt i.\nAnswer: -6100*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 16*u + 7. Let f be y(16). Let w(c) = -c + 2. Calculate w(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -646.7 - -649.0528. Let r = a + 104.4772. Let z = -108 + r. What is z rounded to one decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*j + 12*j - 1862 = 5*j for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5849043.\nAnswer: 3, 673, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q**2 - 35*q - 76. Let t(n) = n**2. Determine m(t(o)).\nAnswer: 3*o**4 - 35*o**2 - 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71 divided by 1453.\nAnswer: -71\/1453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - 7*x**2 + 6*x + 7. Let d be w(6). Let c(o) = o**3 - 6*o**2 - 7*o. Give c(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1435, 2684, 3933, 5182?\nAnswer: 6431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120) + -6*(sqrt(120)*1 + sqrt(120)) + sqrt(120) + sqrt(120)*-1*5)\/((sqrt(180)\/sqrt(3))\/sqrt(10) - (sqrt(150) + sqrt(150)*1)))**2.\nAnswer: 500\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (4\/(-14) + (-7344)\/(-1008))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1145089 and -895.\nAnswer: 1024854655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2224 = -14*u - 2252 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x + 8. Suppose 2*z - 230 = -5*o, -35*o + 39*o = -2*z + 184. Calculate the remainder when o is divided by t(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u + 79*u - 5*u + 12*u + (-3 + 0 + 14)*(u - 4*u + u) to x + m*u and give m.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/174? (a) 2 (b) 13.8 (c) 7 (d) -4 (e) -5 (f) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -4*j - 19, 6*j = 7*j - 2*r - 9. Let b(q) = 3*q**2 - 3*q - 3. Let y be b(j). Solve 0 = -y*g - 4*c - 10, -4*g + 4*c + 24 = -0*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 6. Let u be 3\/(-6)*i*4. Let z be 140\/165 - (-2 - 32\/(-12)). Which is the closest to 0? (a) u (b) z (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + (-6)\/(-8))*(-18)\/(63\/7). Sort -19\/3, x, 0.6, -4, 3.\nAnswer: -19\/3, -4, x, 0.6, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31.2 + -3.2. Is -0.1 not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of 13*f**3 + 17*f**2\/2 - 21. Find the second derivative of w(s) wrt s.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -3*k + 23, 3*k = -3*y - y + 31 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 4. Suppose x - 27 = -3*z. Let l be -1 + (2 - -1) + 1. Calculate the greatest common factor of l and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.023 + 0.123. Let o be ((-1)\/20)\/(4\/30). Put -1, -3, o, y in descending order.\nAnswer: y, o, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1417*b - 4*b**3 + 1418*b - 4*b**3 + 2 - 2*b**2 + 0*b**2 to the form m*b + t*b**3 + s*b**2 + d and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2794 + -7c1?\nAnswer: -3175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 - 14*i + 48.\nAnswer: (i - 8)*(i - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/5022 and 41\/2106.\nAnswer: 65286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2159 and 127?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2*sqrt(91)*2)\/(-1*sqrt(7)*-1).\nAnswer: -8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2022332212 (base 4) to base 14\nAnswer: -10b650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100136 (base 7) to base 15.\nAnswer: -5008","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 532 and 203?\nAnswer: 15428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) 2\/3 (c) -1.5 (d) 0.321\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136122093.\nAnswer: 3, 5041559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 70 - 58. What are the prime factors of 147\/9*(r - -3)\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5*-3*sqrt(704)*-2 - (sqrt(704) + (sqrt(704) - (sqrt(704) + -1 + 0)) + (sqrt(704) - sqrt(704)*1)*2 + sqrt(704))**2).\nAnswer: -14085 - 1360*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d. Suppose 22 = 3*j + 19*j. Let l(n) be the first derivative of -j - 7\/2*n**2 + 0*n. Determine i(l(v)).\nAnswer: -14*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + l**2 - 3*l - 3. Let g(p) = -p**3. Let y(q) = -3*g(q) + x(q). Suppose t + 2*t = -6. Calculate y(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1475 divided by 23\nAnswer: 1475\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q = 2*p + 11*q + 28, 97*p + 4*q = -1075 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -323*k*s**6 - 2*k*s**4 - 2*k*s**3 + 7*k*s - s**2 + 3*s + 1 wrt s.\nAnswer: -38760*k*s**3 - 48*k*s - 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 11*l**3 - 143*l**2 - 50*l + 406. Give h(13).\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 554 - 219. Let w be (-2)\/13 + s\/65. Suppose 0*k - w*k + 2*o = -145, 2*k = o + 59. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3 + sqrt(33)\/(sqrt(3) - sqrt(432)*-2) + -2 + (3 + 1 + sqrt(11))**2.\nAnswer: 25 + 201*sqrt(11)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -65.7 to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 329*w - 904*w - 998*w - 480*w.\nAnswer: -2053*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3143229 (base 10) to base 3.\nAnswer: -12220200200220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 176 + -299. Let j = q - -123.8. Which is smaller: -2 or j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -8 + 8. Let f be (6\/15)\/((-1)\/(-5)). Let z = f + l. Solve -z*n = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c - 4. Let s be l(-2). Factor 0*z**s + 5*z + 4 + z - 2*z**4 - 2*z**2 - 6*z**3 + 0*z**4.\nAnswer: -2*(z - 1)*(z + 1)**2*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/5)\/p*p*p)**(2\/121)\/(p**(-3\/2))**(-1\/14) assuming p is positive.\nAnswer: p**(-1479\/16940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 0*b**2 + b**2 - 4*b - 5 + 3 + 0*b. Let v be d(4). What is the remainder when 90 is divided by 84\/(-8)*v + 2?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of 3*w**2 - 91*w + 76. Is t(18) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 1, 16 in increasing order.\nAnswer: 1, 14, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28108 + 28010. What is the nearest to 0.1 in -4\/23, -1\/6, k?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + (-3 - -5) - 0. Suppose -3*p = -9, 0 = w*m + 5*p - 1513937 + 195056. Suppose -b = 480378 + m. What is b rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -11 (c) -0.9 (d) -1\/5 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -27300 divided by 100\nAnswer: -273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + 12*h + 24. Let y(g) = 6*g**2 - 34*g - 2. Let l be y(6). What is the tens digit of v(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31698532 to the power of 1\/3, to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 3*d - 18, 5*b + 24 = 3*d - 4*d. Let m = 30 + -32. Sort 2\/7, m, b in descending order.\nAnswer: 2\/7, m, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 5 (b) 3\/133 (c) -1\/3 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**2 - 2*o. Let b(v) = -v**3 + 6*v**2 - 5*v + 4. Let q be b(5). Is 12 a factor of g(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 550 + -552. What are the prime factors of (u\/4)\/((-10)\/14220)?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 4*s + 27, -5*t + 5 = 2*s - 4. Suppose -t = 3*n + j + 2*j, -5*j - 12 = -2*n. What is the units digit of -5*(-1 - n)\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - 2. Suppose p*c = 9*c + 12. Suppose -26*t + 25*t = -c. What is the remainder when 9 is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-0.34226\nAnswer: -0.068452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 5*m - 8*m**2 + 0*m - 5*m. Let n(x) = 19*x - 2. Let i(t) = 40*t**2 - 760*t + 80. Let d(v) = i(v) + 40*n(v). Determine d(o(h)).\nAnswer: 2560*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/72)\/(8\/6).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 99\/8 - (35945\/728 + -49)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + z + g = 8, 15 = 3*g. Let l be z\/4 - (-130)\/40. Which is smaller: l or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2\/3 + 3636*k + 10912\/3.\nAnswer: -4*(k - 2728)*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.11 + 1.21. Let m = 1.714 + 1.286. Which is the nearest to 2\/15? (a) m (b) -3 (c) -0.2 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3423\/3334?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3*f - f + 0*f)*(2 + 2 - 3) - 9*f + 11*f - 14*f)*(1 - 2 + 2)*(-3 + 3 - 4)*(-5 + 3 + 0) to the form d + r*f and give r.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 11 - 9, 0 = 2*a - v - 2690. What are the prime factors of a?\nAnswer: 2, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26418\/221 - (-6)\/13 is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3711)\/10*12\/108*-12. Let w = 494 - h. What is the fourth biggest value in 2\/9, -2\/7, 4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3589*d**2 - 4 + 901*d**2 + 846*d**2 + 900*d**2 + 2 + 893*d**2.\nAnswer: -49*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -99, -291, -579, -969, -1467, -2079, -2811?\n\"Answer: -x**3 - 42*x**2 - 59*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -15*5\/45*(-18)\/(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(8\/7))**(-1\/9)\/(i**(-3\/2)\/i)**(-1\/6) assuming i is positive.\nAnswer: i**(-137\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 0.0115, 2\/5, 18.\nAnswer: -1\/2, 0.0115, 2\/5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 6*v - 6. Let g(u) = 2*u**2 - 13*u + 13. Give 6*g(m) + 13*y(m).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/32 and 107\/96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**3 + 19*b**2 - 4*b - 18. Does 18 divide n(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + m = -6, -11*k + 5*m + 2 = -14*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/72 and 43\/2.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4882 is divided by 61?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 0. Let n be (-51)\/(-34)*(0 + 1). What is the third biggest value in 0.3, -1, g, n?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/13, 0.2, 3\/5, 5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -823\/231 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -178840 to the nearest ten thousand.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -6*i + 12*i + 6 - 5*i - 4*i. Let m be r(0). Let x(n) = 6*n**2 - n + 2. Let q(v) = 5*v**2 - v + 2. Calculate m*x(z) - 7*q(z).\nAnswer: z**2 + z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 1\/7 (b) -5 (c) 10 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 74895?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + v + 1. Let w(x) = 3*x**2 - 7*x - 1. Let k(h) be the first derivative of h - 6. Let m(n) = -4*k(n) + w(n). Calculate m(f) + 5*t(f).\nAnswer: -2*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a decade in months?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 5*h - 101 + 95, 7*h - 3*v - 26 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1713 + -1713.1. Let r be 6\/58*6\/9. Which is the nearest to r? (a) 2\/3 (b) 5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, s: 1, z: 7, v: 2, f: 1, p: 6}. Give prob of picking 2 v.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 397 + -393. Suppose 3*z + 6*b - 14 = 2*b, z - 10 = -a*b. Solve -k - p + z = 1, 2*k - p + 13 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/6*(-4 - -3*(-55)\/(-30))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 493 - -1067. Is n a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - l**2. Let s(b) = -b**2 - 13*b - 3. Let q be s(-13). Let m(z) = -5*z**3. Let w(v) = q*i(v) + m(v). Find the third derivative of w(n) wrt n.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.02 (b) 40 (c) -2\/9 (d) -3 (e) 0.05\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1633026.\nAnswer: 2, 3, 272171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) + 4*(sqrt(110) + sqrt(110)*1))\/((sqrt(100) - -3*sqrt(100))\/sqrt(10)))**2.\nAnswer: 891\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 123 and 34071.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -11*w + 24*w**3 - 9*w**2 + 22*w + 12 - 25*w**3. Let v be z(-10). Let g = -0.759 + 0.059. Sort v, -4, g in decreasing order.\nAnswer: v, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -30.9 (c) 1\/4 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -5 + 495\/(-1056)*-32\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2487*j**3*m**3 + j**3*m**2 - 22*j**3*m + 15*j**2*m**2 - 7*j**2*m + 2256*j*m**3 + 5*j*m**2 + m**2 wrt m.\nAnswer: 14922*j**3 + 13536*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/10))**30\/(l*(l**(-17)*l)\/l*l\/l**(-3)) assuming l is positive.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-185 + 184 + (5 - 2))*(-10)\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1512153 divided by 2109?\nAnswer: -717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 111340, 111339, 111338, 111337, 111336, 111335?\n\"Answer: -a + 111341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.5844746 weeks?\nAnswer: 353490238080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 784 and 32.\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - w - 1 + 0)*(-4 + 1 - 11).\nAnswer: -28*w + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 8671, 17362, 26039, 34696, 43327?\n\"Answer: -r**3 - r**2 + 8701*r - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -38 - -40 - 56\/(-2). What is the hundreds digit of (-4)\/y + (-2120875)\/(-1875)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 3*k - 3. Let q(p) = -p - 1. Let s(c) = -o(c) + 3*q(c). Let z(u) = 17502*u + 17471*u + 17447*u - 52341*u. Calculate z(s(b)).\nAnswer: 79*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24383678 divided by -12191839.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2681, 2783, 2945, 3161, 3425?\n\"Answer: -i**3 + 36*i**2 + i + 2645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 3*z + 15 = 0. What is the closest to -2\/3 in 1\/3, z, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-2\/5))**(3\/26)*(u**(-1\/3))**(2\/13) assuming u is positive.\nAnswer: u**(43\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b7 + 46?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d - 1. Let h be c(0). Let t(n) = -n - 1. Let v(f) = 3. Let m(x) = h*v(x) - 3*t(x). Let r(q) = -2*q. Calculate r(m(w)).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = 691*x - 690*x - 14 - 41, -4*m = x - 43 for x.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 s, and 1 y when three letters picked without replacement from sotsycoc?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1633475*i*p**2 + 173*i*p - 2*i + 234060419 wrt p.\nAnswer: 3266950*i*p + 173*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-107)\/(-15) - (-231)\/(-33))\/((-1)\/5). Which is the closest to 0? (a) 1\/4 (b) -3\/5 (c) k (d) 38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 97 + -161. Let w = m - -67.2. Let z = w + -8.2. Which is the nearest to 2? (a) -2\/3 (b) z (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus 6654?\nAnswer: 6654.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 1. Let s(g) = -1. Let m(d) = -2*p(d) + 2*s(d). Let n be 2 + 2 + -5 - -5. Let w(z) = -z**2. Give n*m(y) + 10*w(y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (585\/39 + -30)*6\/(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - h + 1. Let b(u) = -105*u**3 - 140*u + 112. Let q(x) = -35*x**3 - 47*x + 37. Let a(l) = 5*b(l) - 14*q(l). Give -a(z) + 42*g(z).\nAnswer: -7*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 + 43 = y. Suppose i = -y + 8. Let 32*v - 8*v**2 + 80*v**i - 32*v**4 - 64*v**2 - 4 - 4*v = 0. What is v?\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -492\/115?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of z**4\/6 + 8*z**3 + 144*z**2 - 159*z. Find h, given that d(h) = 0.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34555699 to the power of 1\/3, to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1054 - -1797. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67 times -1.11\nAnswer: -74.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 + (-21)\/6)*-2. Let s be 5*c\/(-5) - -2. Solve -4*r + 7 = 3*h, s*h + 0*r - 23 = 4*r for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186 = 55*i + 571 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-7)*o**(-2\/17)\/o)\/(o**(-2\/3))**(-4\/11)*(o**(-1\/4)*o)**(-8\/9)\/(o*(o*o\/o**(-1\/2)*o)\/o*o\/o**(2\/11)) assuming o is positive.\nAnswer: o**(-4991\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 322828307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(4\/3)*o**(-2\/13)\/o assuming o is positive.\nAnswer: o**(7\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*k**3*r + 894*k**3 + 682*r**4 wrt r.\nAnswer: 2*k**3 + 2728*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 1926?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3465312707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 12:30 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/5 of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29 (base 11) to base 3.\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 0) + -35 + 5 + 53 + -32\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -2240\nAnswer: -1\/560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -11. Suppose -t + j = -28. List the prime factors of t.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 2:04 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 divided by -89361.\nAnswer: 38\/89361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 284*r - 39. What is the units digit of z(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 51*i**2 + 21. Let r = -7 - -5. Let z(j) = 5*j**2 + 2. Suppose -24*a = -74*a + 25*a + 525. Give a*z(c) + r*d(c).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -178 (b) 1 (c) 5 (d) 0.3 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppppppvppp. What is prob of sequence ppv?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 10*d + 4. Suppose 5*z + 39 + 11 = 0. Let x be b(z). Solve -2*f - 8 = 0, k - x*k - 19 = f for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 1 + 4. What is the least common multiple of -12 - 1*(-21 + (-3 - -11)) and (115\/(-2) - r)*-2?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yky when three letters picked without replacement from {y: 13, k: 3}.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.4879 * -2.267.\nAnswer: -10.1740693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 408 = 2*d. Let k(u) = -120*u**2 - 415*u + 5. Let n be k(-3). Calculate the highest common factor of n and d.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 25 (b) -2532 (c) 0 (d) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34.5 - 34.9. What is the smallest value in -8, f, -3, 3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010000001110000110000 - -10010001?\nAnswer: -10010000001101110011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 minus -2.39?\nAnswer: 2.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3*b + 16, -3*b + 4*s = -5*b - 8. Let o = -1 - b. Solve -7 = -o*w - 32 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = -4*p - 4*c, 2*c - 7*c = 15. Let b = p + 24. What is the least common multiple of 22 and 9 + (-4)\/b*6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -13 - -12 - ((-1)\/(-1) + 0). Calculate the common denominator of ((330\/(-21))\/l)\/(36\/(-14)) and 41\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q**3 - 4*q**2 + 5*q + 33. Let f(m) = -m**3 - m**2 + m. Let t(x) = -4*f(x) + o(x). Is t(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 15*o**2 + 2*o - 5. Let z(k) = 14*k**2 + 2*k - 6. Let f(l) = 7*p(l) - 6*z(l). What is f(-1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 163*v + v**3 - 3 - 78*v - 84*v - 3*v**2. Determine z(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 14 = -4*f - 34, 5*x + 2*f - 12 = 0. Suppose 49*o = 4*q + 54*o - 4, 0 = -x*q - 4*o + 8. Does 6 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 385, 823, 1555, 2581?\nAnswer: 3901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (-1)\/(-21)*19. Let s = -109\/195 - -14\/39. What is the third biggest value in s, h, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 462*b**2 + 15247*b + 19. Determine r(-33).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 680.8787 seconds in microseconds?\nAnswer: 680878700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -62*j**2 + 89*j**2 - 3*j - 17*j**2. Let y(g) = -11*g**2 + 2*g. Calculate 3*y(t) + 2*z(t).\nAnswer: -13*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-6)*3\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244989 is divided by 88.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12780946601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3.6 (b) -5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oqqsexeooooq. Give prob of picking 1 q and 1 e.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w**3 - 6*w**2 - 6. Let v(l) be the third derivative of 0*l + 0*l**4 - 1\/12*l**5 - 3*l**2 - 5\/6*l**3 + 0 - 1\/60*l**6. Calculate -5*b(f) + 6*v(f).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1277\/4 + -1275\/4. Which is the closest to -0.1? (a) q (b) 5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b - 19. What is the remainder when 9 is divided by n(12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20\/3*2*3\/4. Suppose -p + 738 = -n*p. Let q = -79 - p. Solve -r - 1 = q for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b**2 + 2. Suppose 0*p - 2*p + 132 = 0. Let q(h) = 580*h**2 - 628*h**2 - 4 - 29. What is p*i(z) + 4*q(z)?\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.3, 1\/2, -13, -340\/13?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -388854 rounded to the nearest 10000?\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 5*t + 7 = -t, -4*s - 4*t + 12 = 0. Suppose s*v - 1 = 4. Put -1, -4, v in increasing order.\nAnswer: -4, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**2 - 3*n + 11. Let a be u(5). What is the second derivative of 969 - 4*x**2 + 11*x**4 + a*x - 969 wrt x?\nAnswer: 132*x**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -26 + (-31 - -77) + 11?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*z + 0*z - 4*z)*(0*z - 2*z + 5*z + (3 + 4 - 5)*(3 - 3 + 2*z) + 2*z + 18*z - 6*z) to c*z**2 + n*z + y and give c.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 71653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23 + 1313103031331?\nAnswer: 1313103032020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10 - -2) + 12 - 3) + -23?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13 - 14395010?\nAnswer: -14395023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 3765 divide 240460363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1452 - 885. Let t = y + -841. Let g = 477 + t. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-1026))\/(661\/5949)\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56*k**2 - 47*k**2 + 0*k**3 + 109*k**2 - k**3 - 125 to v + g*k + h*k**3 + l*k**2 and give v.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11322 - -31220?\nAnswer: 103202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -50*x - 5. Let s(b) = b**2 - 48*b - 4. Determine -4*j(v) + 5*s(v).\nAnswer: 5*v**2 - 40*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 24161 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 15 = 3*y - 0, -2*p - 6 = -5*y. Let g(n) = -n**2 - 13*n - 2. Let k be g(y). Let t(w) = 4*w + 5. Calculate t(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x. Let z(s) = 12*s + 19*s - 11*s. Determine z(n(p)).\nAnswer: -40*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*g**2 + 2628 - 1317 - 473*g**3 + 7*g**2 - 2*g - 1311 to s + d*g + x*g**3 + h*g**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 + 42 = 4*h - s, 0 = 2*h - 5*s - 38. Let v = h + -7. What is the smallest common multiple of v and (-4)\/20 - 71\/(-5)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 + 16 + 20 + -7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 424325270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8838*l - 4*o - 17 = -8841*l, 106*l - 326 = 4*o for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 4*t**3 - 2*t**2 + 2*t - 1. Let p be k(1). Let x = -161 - -12. Let c = x + 143. Sort -3, p, c in ascending order.\nAnswer: c, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -6*l**2 + 22*l + 3. Let u = -67 + 75. Let b(q) = 18*q**2 - 66*q - 8. Let i(g) = u*z(g) + 3*b(g). What is the second derivative of i(d) wrt d?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2208793625.\nAnswer: 5, 37, 477577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((-44)\/(-28) + 0 + 0).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*p, -2*p - 26 = -3*h + 3*p. Suppose 4*r - h*i = 160, -5*r + 230 = 3*i + 2*i. Is 12 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 159711?\nAnswer: 1597110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of w**6\/135 + 43*w**5\/90 + 13*w**4\/3 + 452*w**3\/27 + 296*w**2\/9 - 79*w - 3. Factor z(x).\nAnswer: 2*(x + 2)**3*(x + 37)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3994?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 169, 319, 569, 919, 1369, 1919?\nAnswer: 2569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -129 - 2.\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -80364.2264 and -8?\nAnswer: 80356.2264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 111*l**2 + 25*l + 3. Let v(p) = 55*p**2 + 13*p + 2. Let s(u) = 3*j(u) - 5*v(u). What is the hundreds digit of s(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -1. Let v = j - 1.9. Let g be ((-69)\/(-115))\/(-1 + (-4)\/(-5)). Put v, g, -0.2 in descending order.\nAnswer: v, -0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 + 19.99. Let s = a - 0.18. Let p = -0.29 - s. Is p less than -1\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in nine tenths of a millisecond?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 301.625184 to 2 dps.\nAnswer: 301.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*d**2 + 9*d**2 + 69*d**3 + 38*d**2 - 68*d**2.\nAnswer: 69*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/7*(-4 + 3). Let x = -79\/4 + 411\/20. Which is the third smallest value? (a) k (b) x (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65113 is divided by 579?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 106*x**2 - 1289*x + 233. Calculate k(117).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*l = -25*l - 22*l - 763 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22328886767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 2:23 PM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 61839559 to the nearest 1000000.\nAnswer: 62000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 1:54 AM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -981*s**3 + 1974*s**3 - 1009*s**3.\nAnswer: -16*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 22.8 and -10780.\nAnswer: -245784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of w**4 - 204*w**2 - 865 wrt w?\nAnswer: 4*w**3 - 408*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.253 - 3.253. Let h = 4\/9 + 2\/9. Put g, 3, 2\/5, h in increasing order.\nAnswer: g, 2\/5, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 61*a**3 + 9075*a**2 - 2083*a + 448. Determine j(-149).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1648688 to the power of 1\/2, to the nearest integer?\nAnswer: 1284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12.2 - -2.8. Let t = 0.03 - 0.14. Let o = 0.01 + t. Which is bigger: n or o?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -107 - -108. Which is the closest to o? (a) -2 (b) 2\/7 (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6918 - -26718. Round n to the nearest one hundred.\nAnswer: 19800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -15, -505, -2025, -5151, -10459, -18525, -29925, -45235?\n\"Answer: -96*u**3 + 61*u**2 - u + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27917*a**4*o**2 - 54*a**2*o - 1741*a*o**2 - 2*o**2 wrt a.\nAnswer: 670008*a*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + 5 - 2 - 6*j - 5. Let y be a(-6). Let c be y + 6*20 - 1. What is the highest common divisor of c and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(5 + sqrt(1584) + sqrt(1584)*-1 + (sqrt(1584) - (sqrt(1584) + -1)) + -1 + 4)*1)**2.\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 3*b**3 - 8. Let c(j) = j**3 - 3. Let h(z) = -11*c(z) + 4*f(z). Differentiate h(u) wrt u.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -84, -631, -2116, -5007, -9772, -16879, -26796?\n\"Answer: -78*r**3 - r**2 + 2*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhvnnvhnh. Give prob of sequence vvh.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -4698 smaller than 119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-8))\/((-3102)\/74448)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 235*f. Let t(u) = u. Determine y(t(c)).\nAnswer: 235*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*i**3 - 262180*i**2 + 1048655*i - 786480 = 0. Calculate i.\nAnswer: 1, 3, 52432","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*d + 191*d = 528 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of b**3\/18 + 347*b**2\/6 + 120409*b\/6 + 1713. Find n, given that g(n) = 0.\nAnswer: -347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3002*t**3 + 5*t**2 + 5. Let j(f) = 4506*f**3 + 8*f**2 + 8. Determine -5*j(y) + 8*o(y).\nAnswer: 1486*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9187 + -9182. Solve 41*g - i*n = 38*g - 25, -2*n = -5*g - 10 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f + 3. Suppose -10*i + 6*i = -20. What is x(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -410.391816 + 410.4. What is g rounded to four dps?\nAnswer: 0.0082","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 38223, -0.02, 2\/9, 1\/3, -4\/7, 3\/2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.28 - 75.\nAnswer: -75.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 - 3 + 3)*(-3699*n**2 + 3 + 1771*n**2 + 1824*n**2).\nAnswer: -104*n**4 + 3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + 23. Is 5 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 515544*j**4 + 2*j + 239721 wrt j?\nAnswer: 6186528*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11851 + 11894. Solve 0 = -j*c + 344 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 3*j + 8. Let l be -1*(-2)\/(j*1). Let h = -719 + 720. Put l, h, -9 in descending order.\nAnswer: h, l, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4 + 4.4. Let s = -1857 + 1859. Suppose 2*y = 2*o - 4*o, 4*o - 20 = 0. What is the closest to s in x, 1, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**2*n*n\/n**(-5))\/(n*n*n*n\/n**(2\/5))**(-15\/2)*(n**(-6)\/(n*n**(-3\/8)*n*n*n))**30 assuming n is positive.\nAnswer: n**(-1011\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -32475, -32475, -32477, -32481?\n\"Answer: -d**2 + 3*d - 32477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of a**3\/3 + a**2\/2 - 1. Let p(u) = u - 1. Let x be p(-3). What are the prime factors of b(x)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2524998863?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 4:00 PM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2787 = 150*p - 387 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 5*y**2 - 8*y - 13. Let i be k(-4). Suppose 4*d + 2*l - i = 17, 5*l - 150 = -5*d. Does 28 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (16 - ((-199 + 186 - (0 - 19)) + 39)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -72336840 to the nearest 1000000.\nAnswer: -72000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*g**3*h**3 - 1654*g**3*h**2 - g**2*h**2 - 192*g + 2248680*h**3 wrt h?\nAnswer: -36*g**3 + 13492080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, -0.6, -0.09 in increasing order.\nAnswer: -0.6, -0.09, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 2501911?\nAnswer: -250191.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4477530 rounded to the nearest one hundred thousand?\nAnswer: -4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 6*n + 6. Let a(p) = 2*p - 18. Let w be a(6). Let i(d) = d**3 + 5*d - 5. Give w*i(s) - 5*j(s).\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 37*q**2 + 4*q + 2. Suppose 20 = 4*k - 8*k. Let j = k - 0. Is i(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.11 - -0.13. Let v = w + -1.02. What is the nearest to v in 1\/8, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 80 = 2*d. Let z(n) = -n**2 - 8*n + 2. Let w be z(-8). Suppose -w*l + 0 + 28 = 0. What is the remainder when d is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 33\/32? (a) -3 (b) -1\/9 (c) -391 (d) -1\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -69 + 114 + -6 + -14.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*j - 51*j = -13288. What are the prime factors of j?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + -2. What is the units digit of -2 - k\/((-3)\/(-5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 783.1141 kilograms to milligrams.\nAnswer: 783114100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 202, -284, -780, -1286, -1802?\nAnswer: -2328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 449 by 9.\nAnswer: 449\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 - -43. Are k and 15 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 82 - 19. Let m = 63.000051 - o. What is m rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 27378*s + 1284552. What is d(-47)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -3*p**3 + 0*p**5 + 0*p**4 + 41\/6*p**6 + 0*p**2 + 30 + 0*p. Find the third derivative of i(s) wrt s.\nAnswer: 2460*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2*u = 72 + 60, n - 3*u - 70 = 0. Let t(h) = -6*h - 28. What is the smallest common multiple of n and t(-18)?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5*p + 19 + 45 = 0, 2*g - 3*p - 56 = 0. Calculate the least common multiple of 556 and g.\nAnswer: 6116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - j**2 - 2*j)*(-1435 + j + j + j**2 + 1433).\nAnswer: -j**4 - 2*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 1:29 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 7:57 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13.16 in -2, 0.08, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -f - 9*p, 3*f + 2*p - 63 + 62 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/16 and -43\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -51\/53 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -702*j**3*v + 4471713*j**3 + 90*j*v**2 - 10*j - 7*v**4 wrt v?\nAnswer: -702*j**3 + 180*j*v - 28*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5 + 6 - -5) + -1*4. Let k(c) = -2 - 4*c - 29*c**2 + 2*c + c**3 + 60*c**2 - 29*c**o. Give k(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-9))\/((-9)\/(-27)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 270*q**3 + 3*q**2 - 3*q + 150. Let g(u) = -539*u**3 - 7*u**2 + 7*u - 304. Let v(n) = 6*g(n) + 14*i(n). Differentiate v(p) with respect to p.\nAnswer: 1638*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -278*l**2 - 19*l**2 - 54*l**2.\nAnswer: -351*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9484.23 days in hours?\nAnswer: 227621.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 1593720.\nAnswer: 1593720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 54\/6 + -4. Suppose -6 - 4 = u + n*j, -2*j = 6. Let m be ((-6)\/(-4))\/1*-1. Which is the third smallest value? (a) u (b) m (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2005.45 times 1.3\nAnswer: 2607.085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x - 66669*x**2 + 66668*x**2 + 0*x - 1. Determine o(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 h when three letters picked without replacement from zxxeejhnzenznnj.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 - -19.9. What is the smallest value in z, 2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -17*i**2 - 9*i + 13. Let l(n) = 9*n**2 + 5*n - 7. Determine 11*l(a) + 6*o(a).\nAnswer: -3*a**2 + a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*n - 5*n**3 + 6*n**3 + 8*n + 22 to x*n**3 + k*n + s*n**2 + l and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1362230 is divided by 151352.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.3 in 2, 5, 341\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101111111001000 (base 2) to base 4.\nAnswer: -31333020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 87*c - 1. Let m(r) = 27*r**2. What is z(m(w))?\nAnswer: 2349*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n + 25 - 61. Let q = 3 - -3. What is the greatest common factor of n and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -4 (b) 28\/9 (c) -2\/7 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v. Let p(c) = 7*c + 55 + 9*c - 55. What is p(o(r))?\nAnswer: -16*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i**(1\/4)\/i))**(-14\/11)*(i**(2\/5))**(15\/11))\/((i**(-4)*i**(-2\/19))\/(i**0*i)**34) assuming i is positive.\nAnswer: i**(14693\/418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 191045146?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 + 11. Let y be (n\/15)\/((-2)\/(-10)). Sort -3, -1, y.\nAnswer: -3, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 233 by -19865.\nAnswer: -233\/19865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*r - 27*r = -32 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-14) - 248\/(-14). Suppose g = 2*l - 5*j, -l + 2*j + 5 + 5 = 0. What is the remainder when 27 is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3740 divided by -2\nAnswer: 1870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 4 = -16, -2*t + 5*z + 16 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/7 + (-33)\/21 + 4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1001005205 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(9\/8)\/l))\/l*l*l**(-9\/7)\/l assuming l is positive.\nAnswer: l**(-79\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30*m**2*s + 3*m**2 - 2166*m - 9814329*s wrt m.\nAnswer: -60*m*s + 6*m - 2166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*y = -56*y - 1776. Calculate the highest common divisor of 74 and y.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*((c**8*c)\/c)\/c*c**(1\/13)\/c*(c*c*c*c\/c**(-9)*c)\/(c**(1\/11)\/c) assuming c is positive.\nAnswer: c**(3144\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, -5, -30 in ascending order.\nAnswer: -30, -5, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6040.4326 rounded to the nearest one hundred?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -23. Let n = 16 - h. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/(-6))\/((-14)\/3). Let z = -2.7 - -2. Let i = 0.3 - z. What is the closest to -1 in 0.4, y, i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 6972*f**2 + 17920*f - 144\/7 = 0.\nAnswer: -18\/7, 2\/1743","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 104*d - 106*d + 158. Let a be 7\/(-8)*(d + 13). Is -82 at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2.691054 microseconds?\nAnswer: 0.002691054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2519863.5 months to decades.\nAnswer: 20998.8625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14580220 a multiple of 340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i - 5. Let u be w(8). Solve 5*c = -4*g + 18 + 2, u*c = -g + 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25088462.\nAnswer: 2, 7, 1792033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 3*p - 2*x, 4*p + 5*x - x - 20 = 0. Suppose -p*t + 40 = -3*t. Suppose -t*q + 3*q = -230. List the prime factors of q.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*y = 649346, 46*y - 49*y = 2*w - 649346. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -264?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*m - 9, 13 = 3*y + 2*m. Let g(k) = -k**3 + 2*k**2 - 3*k + 2. Let n be g(1). Suppose 4*c - 8 = -n. Is c >= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + -1 + 0)*(43 + -10*(-864)\/(-180)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1017*w**6 + 6*w**2 - 41*w.\nAnswer: -122040*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 3*j - 9 = 11, j = 2*c - 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 52.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -l - 0*l. Let w be 1\/(-3)*(3 + l). Let h be -4 - (4 + w) - -3. Put h, 2, 5 in decreasing order.\nAnswer: 5, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 322.\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 307.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-592)\/2220)\/((-4)\/(-10)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 8*d**2 - 1860*d - 20393. Give o(-11).\nAnswer: -296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -980c8 (base 13) in base 4?\nAnswer: -1003011211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.37, 1, -13951 in increasing order.\nAnswer: -13951, 0.37, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 4*v**2\/7 - 28828*v\/7 - 28856 = 0.\nAnswer: -7, 7214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142*v**2 - 5*v**3 + 152*v**2 - 294*v**2.\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*g + 4*g + 102504 = 105325 for g.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 260015381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 4*d - 79. Let h be m(0). Let p = -77 - h. Solve -z + 2*b = -2 + 1, 0 = -p*z - 2*b + 8 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 601*-7.\nAnswer: -4207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -13. Suppose m*q - 3 - 3 = 0. Let y = -4.92 + -0.08. What is the nearest to -0.1 in -1\/5, q, y?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 162 and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 19 = -2*p, -7*p + 12*p + 40 = 5*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 18728 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*t - 152*t + 135 = 0. Let i be (-1)\/(-1) - 4\/(-2). Let y be (-5)\/(-4)*(i - -1). Solve 0 = o + y*x + 23, t*o + 31 = -0*o - 4*x for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, n: 10}. What is prob of sequence nn?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*(d*d**4)\/d)\/d)\/d**(-4\/3))**(-9\/8)*(d**(-1)*d)**(-18)*(d**(-1)*d)**(3\/19) assuming d is positive.\nAnswer: d**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-20) + 13\/5. Suppose -2 = v*w + 2*n, -3*w + 8 = -n - 2. Suppose 0 = -3*z - 2 - 4, -w*z = 5*t + 404. What is t rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, n: 3, g: 4}. What is prob of sequence nn?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 k, and 1 a when three letters picked without replacement from {k: 2, u: 1, b: 2, c: 3, o: 2, a: 2}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*v = 9. Let t(i) = 3*i - 4*i**3 + 2*i + 1 - 3*i - 11*i**v. Let p be t(-2). What is the greatest common divisor of 13 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*3*(sqrt(2) + 0).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 4*i**2 - 132*i + 297. What is l(31)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of 5*k**7\/84 - 5*k**6\/12 + k**5 - 5*k**4\/6 - 59*k - 34. Let y(s) be the first derivative of z(s). Let y(w) = 0. What is w?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + ((-14)\/8)\/(3\/12)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - i + 104, 4*d + 0*d + 152 = 4*i. What is the units digit of 1\/3 - 1672\/d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1072912 * -0.43.\nAnswer: -0.046135216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**3 + 2*d**3 + 2*d**4 + (-5*d + 2*d + 2*d)*(-d**3 - d + d) + (-5*d**3 - d**3 + 5*d**3)*(-108 + 140 + 101)*(2*d + 0*d + 0*d).\nAnswer: -263*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 3*x + 15 - 68, 0 = 3*s - 5*x - 25. Suppose 12 = u + 30. What is the remainder when 2 - u - (-3 + 4) is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w**2 - 29*w + 150. Give l(8).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23.8 + 23.1. Sort 1\/4, -5, h, -0.07 in descending order.\nAnswer: 1\/4, -0.07, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 2*b**2 + 2*b + 1. Let u be j(-1). Suppose -12 = 199*i - 202*i. Solve u = 2*v + m + 3, 2*v - 7*v - i*m = 15 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220451*o + 79 = 220456*o + 7*x, -42 = -4*o + 5*x for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 5*c - 2 = -9, 0 = -2*g + 3*c for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(5) + sqrt(5))*-1 + (sqrt(5) - (sqrt(5) - -6*(2*sqrt(5) - sqrt(5)))) + (sqrt(275)\/(sqrt(5)*-2))\/(1*sqrt(1100)))**2.\nAnswer: 483*sqrt(5)\/10 + 26641\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -45349, -90606, -135863, -181120?\n\"Answer: -45257*x - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*g - 2*g**3 - 18 + 18 + 43*g.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -8220000 to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -5*r**3 - 50*r**2 - 120*r = 0.\nAnswer: -6, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 9*l**2 + 25*l + 80. Calculate x(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -3.4. Let n(h) = 3*h - 3. Let g be n(4). Suppose -1 = -2*t - g. Which is the third smallest value? (a) t (b) -0.2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/140 and -139\/6240.\nAnswer: 43680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.19 + 112.19. Let q = p - 133.2. What is q rounded to the nearest integer?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4691333*a**2*x**4 + 163836700*a**2 + 11*x**4 wrt x.\nAnswer: 18765332*a**2*x**3 + 44*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/10 + 96\/20. Suppose -g*j + 0*j + 155 = 0. List the prime factors of j.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/3 - -13\/6. Sort 11, w, -5 in descending order.\nAnswer: 11, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = j + 3846, 6*j = -3*q + 2*j + 11545. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.9 in 0.3, 0.4, 0, 0.5, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -25 + s**2 + s + 26 - 3*s**2 + s**3. Calculate m(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50185744 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + (-12)\/(-4) - 1. Let o be 2\/(2*p\/1007). Let d = o - 517. Round d to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4*q + 36 = -0*q, -4*q = 5*j + 228. What is the units digit of j\/(-10) - (-20)\/(-50)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 + 77. Let p be 315\/n + 2*(-2)\/22. Sort -5, p, 0 in increasing order.\nAnswer: -5, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 28592*m.\nAnswer: -28592*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*l + 334 = 2*o + 36, 5*o + 9 = 4*o + 5*l + 48 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*x = -37*x - 27 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13555, -27107, -40659?\nAnswer: -54211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 15*k + 50. What is the least common multiple of z(13) and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/((s**(-1\/2)\/s)\/s))\/(s**(-1)*s*s)*((s**(-2\/9)\/s*s)\/s)**5 assuming s is positive.\nAnswer: s**(-47\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (428 + -430)*10\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 51.04 (b) 0.2 (c) -0.05 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178137 is divided by 4344.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63.88761 hours to milliseconds.\nAnswer: 229995396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 830 = -9*z. Let i = 85 - z. Solve -3*w - i = -5*a - 8, -4*a = w + 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15213, 59993, 134377, 238365, 371957?\nAnswer: 535153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 7, v: 2, b: 1, n: 2, o: 4}. What is prob of sequence vu?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1.5*102.14\nAnswer: 153.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 - 32 - (8 - 1) - -24 - 20?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l - 2. Let s be k(3). Find the second derivative of -1805*v - s + 1830*v - 3*v**5 + 1 wrt v.\nAnswer: -60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -105, 1\/4, -5, 2, 15\/2, 1?\nAnswer: -105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -29077 and 0.4?\nAnswer: 29077.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-5\/4)*q*q**(-2\/25)*q**(-5\/3)\/(q\/(q**(-1\/18)*q)) assuming q is positive.\nAnswer: q**(-1847\/900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -65 + 61 + 0 + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(76)\/sqrt(2) + 1*sqrt(608))\/(sqrt(72) + (sqrt(72)*2 - sqrt(72) - sqrt(72)) - (sqrt(2) + sqrt(14)\/(sqrt(7)*-4))).\nAnswer: -8*sqrt(19)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -12 + 19 + -1 + 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -3*n**2 - 2*n + 2. Let w(m) = m + 8. Let h be w(-10). Give s(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14 + (-1 - -3)\/(-2). Let z = 19 - t. Calculate the remainder when 52*(-2 - (-15)\/z) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4 - 3 = 0. Let d(w) = 6*w**2 - 2*w + 4. Let s be d(3). What is the units digit of -1*(s\/(-4) + i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 14*o - 3*o - 712 = 0. Suppose 3*k + 0*k = 69. Calculate the remainder when o is divided by (-1)\/(-2 + 1)*k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/7, -1, -1246?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4*l - 4 = 0, -1 = -4*l + 7. Let k(u) = 10*u**2 - 2*u + 3. Determine k(o).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 6:06 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 divided by 1?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 182 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -7*i**2 - i - 1. Let s(l) = -6*l**2 - 1. Let k(f) = -4*s(f) + 3*u(f). Let y = -163761 - -163764. Give k(y).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20967 - -20962. Put 1, -0.1, -0.05, -1\/8, o in ascending order.\nAnswer: o, -1\/8, -0.1, -0.05, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 83365873?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 101*a**2 + 204*a - 177. Let i be j(-103). Sort i, -3, -7, 1, -4 in increasing order.\nAnswer: -7, -4, -3, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, e: 1, q: 5, x: 1, u: 1, o: 3}. What is prob of picking 2 u?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*u**2 - 353212*u + 706440 = 0. What is u?\nAnswer: -88305, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f + 8. Let i be a(6). Let o = i - -6. Let u(g) = g. Let m be u(o). What is the greatest common factor of 2 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r*r**(-28)\/r)**(-10) assuming r is positive.\nAnswer: r**260","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/26 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 1964*y - 246937. What is u(-135)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 5:19 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1734\/(-9) - (-1)\/(3\/5). Let f = -195 - k. Which is the closest to -2\/3? (a) 0.03 (b) f (c) 0.3 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 489331243?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -179 - 26. Let i = -205.12 - x. Let v = 2.2 - 1.9. Which is the biggest value? (a) i (b) 2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 108 and 3000.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 61\/2 of a litre?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11225608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of b**4\/12 - b**3\/3 - b**2\/2 - b. Let q be a(3). Let g(w) = 6*w**2 - 2*w - 1. What are the prime factors of g(q)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(42)\/(sqrt(864)*2) - (((sqrt(126)\/sqrt(2))\/sqrt(9))**2 + -4)).\nAnswer: -sqrt(7)\/8 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/58045, 0.2, -1 in ascending order.\nAnswer: -1, -1\/58045, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*b - 374 - 393 = 0, 2*d - 4*b = 1554. Let a = d + -116. Let n = a - 453. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91880, -366847, -825124, -1466711, -2291608, -3299815?\nAnswer: -4491332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/714*34*-1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-24)\/(-20))\/(4\/(-10)). Let p be 8\/(-14)*(h - 4). Suppose 0*t = -2*t + p. Solve -n + 5*w + 22 = -t*n, 6 = n - 2*w for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = -4*h - 5*x, 89 - 15 = 2*h + 5*x. Solve 0 = -10*b + h + 23 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 11 = -0*g - 4*k, g - 2 = k for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 i when three letters picked without replacement from {p: 3, a: 1, i: 4}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1154627 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 7 - 39)*(f - 4*f + f)*(f + 2*f**2 - f).\nAnswer: 152*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 826808575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -57512 - -190401. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1860 - -1859.99997316. What is v rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 38 = 14 + 20. Solve 0 = 3*g - 9*p + 60, 5*g = 10*p - h*p - 45 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -4*w - 11. Let d(q) = -12*q - 2. Let t be d(-3). Suppose -t = j + 5*f - 11, -4*f - 52 = 5*j. What is the tens digit of r(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 - 1.8. Let j = 92 - 369\/4. Let y = -38.34 + 38.34. What is the nearest to y in -0.03, q, j?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -16) + (10 - 7) - (-2 - 5)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 24\/31, 4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gx when two letters picked without replacement from {g: 3, x: 2, h: 4, l: 2, q: 2, d: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117361 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(1\/20)*h\/(h**32\/h)*(h*h**(-2\/21)\/h)\/h**5 assuming h is positive.\nAnswer: h**(-14719\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46439.46 kilometers to millimeters.\nAnswer: 46439460000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 p, and 1 m when three letters picked without replacement from mbbofmbppblo?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -43*u + 798. Determine q(31).\nAnswer: -535","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1860721965.\nAnswer: 3, 5, 19, 23, 94621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from sjzzzzissssjzizjsisz.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/18 and -14\/1917.\nAnswer: 3834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxnnnn. Give prob of sequence xxnx.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 6:46 AM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + (-39)\/(-26) + 1\/2. Is (-1 - 0)*(-1470 - g - -2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9339\/121 + (-4)\/22. Suppose 225 = 4*p + y. Is 10 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 419 (b) 0.4 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-180)\/12*(-1)\/3. Suppose 4093 = 4*k + v*h - 384, 0 = 5*h - 5. Suppose 2*l + k = 2*p, l = 2*p - 0*l - 1122. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 912, -8, -92.6 in descending order.\nAnswer: 912, -8, -92.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -31018346, -62036661, -93054976, -124073291, -155091606?\n\"Answer: -31018315*p - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -735417\/68 - -10815. What is the smallest value in v, -4\/9, 0.4, -2\/7?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (70 - 83) + 4 + (-11 + 4 - 114) + 8.\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*w - 577 = -1621 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -28 (b) -1\/126 (c) 1 (d) 1\/3 (e) -0.4 (f) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 69187 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8.84, 1\/3, 210?\nAnswer: 210","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 16 - 41) + 46 - (1 + 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 43, 87, 143, 217, 315?\n\"Answer: n**3 + 37*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 24.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/3, -0.4, -27, 78, -0.5, -16 in ascending order.\nAnswer: -27, -16, -5\/3, -0.5, -0.4, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 35*l - 50. Let k be z(4). Suppose -5*r - 46*y = -47*y - k, 0 = 2*y. What is the remainder when 65 is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 5. Let b be ((-4)\/5)\/((-4)\/70). Let n = 18 - b. Calculate the least common multiple of f and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -334 + 162 + 172 - 361*z**5 + (-5*z**2 + 2*z**2 + 4*z**2)*(-z**3 + 0*z**3 - z**3) + 3*z**5 - 2*z**5 + 0*z**5 + 0 - z**5 + 0 - 5*z**5 + z**5 + 5*z**5.\nAnswer: -362*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 550624705 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15026313677 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g + u - 3 - 2, 3*g + 3 = 3*u for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1219276 to the nearest integer?\nAnswer: 1104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 86470?\nAnswer: 86471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 4:50 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (-11 - (-16 + 3 - 13 - -2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55457?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of f**5\/60 + f**3\/6 - 53*f**2. Let i(x) = 6*x**3 - 6*x**2 - 6. What is -i(h) - 6*y(h)?\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.24 + 11.27. Put -4\/5, -0.4, q in decreasing order.\nAnswer: q, -0.4, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -0.079216.\nAnswer: -0.237648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 1)*(-1 - c + 1) + 638*c - 421*c + 411*c - 2 + 828*c.\nAnswer: 1455*c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19349592?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26202023 is divided by 34431.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.62 + -0.38. What is the second biggest value in 0, t, 3, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = r + 4*r. Let k = 27 - r. Suppose -k = 4*u, 8 = c - 4*u - 26. Is 11 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s + 2*s - 18 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.7 - 9.7. Let x = -84 - -81. Sort x, z, -2 in descending order.\nAnswer: -2, x, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -10, 5, 7, -504?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-78)\/(-12) + 2\/(-4). List the prime factors of 7\/(7\/q) - 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 29 = 7. Solve -4*z - x = -0*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 1:02 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -15*4\/360*(-4)\/(-6)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 * -0.1.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 u when four letters picked without replacement from nunbuuunuuuuuuu?\nAnswer: 11\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {s: 4, l: 5, p: 2, e: 4}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0339 plus -0.21?\nAnswer: -0.1761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/3*15\/(-45).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -11. Let u(f) = 9*f. Let i be u(q). Solve 4*o = 3*x - 10, 5*x + i = -3*o + 2*x for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - -3. Suppose -126 = -q*c + 3*c. Let j = -4 - -11. What is the highest common divisor of c and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13405350 and 11256.\nAnswer: 3592633800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-7)*(-7)\/6\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - (12 - 4)\/2. Let m(g) = 36*g + 148. Let i be m(z). Solve 2*v - 8 = i*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and 2.35.\nAnswer: 4.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 8 + 3. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 - 5*d + 1. Let j be s(-4). Let y = -0.1 - -0.17. Let n = y + -5.07. What is the third smallest value in j, n, 0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nlf when three letters picked without replacement from fnlfsflsnffsn.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29.7 + -29.527. Let i = -0.027 - t. What is the third smallest value in 5, -1\/4, 0, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -1.77, -0.9766, 0 in ascending order.\nAnswer: -1.77, -0.9766, -0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 3:19 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.293 + -4.293. Which is the biggest value? (a) k (b) -0.29 (c) -3 (d) 5 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9212142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3 + 2*v + (183 - 77 - 76)*(-v - 3*v + 3*v) + v + 0 + 0 to o*v + f and give o.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 110332111 (base 4) to base 5\nAnswer: 10222114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, v: 8, e: 3, m: 3}. What is prob of sequence vmm?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - q**2 - q - 2. Let s be h(2). Let m be (-4)\/16*s - -2. What is the second derivative of f**m - f - f + 0*f + 0*f**2 wrt f?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 3*n + 10. Let s be o(6). Let k(r) = -r**2 - 10*r - 2. Does 10 divide k(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of 5\/12*h**4 + 1\/20*h**5 - 11\/6*h**3 - 5\/2*h**2 + 0 + h. Does 10 divide x(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 19*z**2 + 6*z + 41. Let w be c(20). Suppose 2*h + 3*h = 4*o - 23, 4*o - 68 = -4*h. Let u = o - w. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40\/4*338\/65 and 2?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -61, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) - (4*sqrt(156) + sqrt(156)))*2 - sqrt(156))\/(1*sqrt(12)*4).\nAnswer: -9*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*c = 828 - 83 + 1523 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pfpkp. Give prob of picking 1 k, 1 f, and 2 p.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (2 - -1)) + -7 + 11\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32836625?\nAnswer: 5, 262693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v = 18*v + 60. Calculate the lowest common multiple of v and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p + 5. Let g = -8 + -16. Let t be (g\/(-10))\/(12\/30). What is i(t)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 446019?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3263065 by -14765.\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4828325 times 0.4\nAnswer: 1931330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45 - 39. Let a(z) be the first derivative of 0*z**4 + 0*z + 0*z**5 - 2 - 1\/2*z**2 - 1\/3*z**q + 0*z**3. What is the second derivative of a(y) wrt y?\nAnswer: -40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.012542676 to three decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Solve -6024*n = -5798*n - 11978 for n.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 8) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**2 + 34*b + 402. Let h be f(-8). Let v = -4 - -8. Suppose -v = t - 3*t. Solve 4 = l - t*l - 4*i, h*i = 4*l - 2 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2092511222548 and 5.\nAnswer: 2092511222553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 123, -0.0817, -1\/164?\nAnswer: 123","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6913 + 7802?\nAnswer: 889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -f**6\/120 + f**5\/5 + f**4\/6 + 7*f**3\/6 - 11*f**2 - 2. What is the units digit of b(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 7:35 AM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 152*z - 11.\nAnswer: 152*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19803*t**2 - 25177*t**2 + 340 - 34233*t**2 - 340.\nAnswer: -39607*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1700) + 0 + -1 - ((6*-1*sqrt(136))\/(sqrt(72) - ((sqrt(72) - -2*sqrt(72)) + sqrt(72))))**2)*4.\nAnswer: -344\/9 + 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(((((h*h**(-5))\/h)\/h)\/h)\/h*h)*h)**(1\/16)*h**(-3\/11)*h\/((h\/(h*h*h**(2\/51)*h))\/h) assuming h is positive.\nAnswer: h**(38857\/8976)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -37452, -37626, -37800, -37974, -38148?\n\"Answer: -174*h - 37278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 15*d**2. Let q(l) = 41*l - 3 - 53*l - 10 + 13. Give v(q(h)).\nAnswer: 2160*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*h = -13*h + 96. Which is the nearest to -0.2? (a) 1\/3 (b) -1 (c) h (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2.6, 5, 0.0481, 0.2, -2?\nAnswer: 0.0481","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3665 divide 2576900135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2377 + -1499. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41 - 95 - 26 - 43)*(-c**5 + 3*c**4 - 3*c**4).\nAnswer: 123*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6654 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than or equal to -1817.1227?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1*4769 + (-38 - -27)?\nAnswer: 2, 3, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -3*u**2 + 4*u + 0*u + 4*u**2 - 2*u**2 + 4. Let j be r(4). Let c = 9 - j. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of -7*m**4\/24 - 7*m**2. Let a(p) = 2*p**2. Calculate a(g(w)).\nAnswer: 98*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -3*r**4 + 252*r**3 - 5289*r**2 - 252*r + 5292 = 0.\nAnswer: -1, 1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 7:46 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**8\/x)\/x**(2\/25))**(-3\/17) assuming x is positive.\nAnswer: x**(-519\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -91, -2\/7, -2353?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -2. Let m be (-6)\/(-5)*(-2)\/u. Let k = 3040 + -3037. Which is the closest to 4? (a) m (b) 0 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (6 - (1 - -14))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*s**3 + 9*s**2 - 6*s**2 - 3*s**2.\nAnswer: 78*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o + 5 - 17 + 8 + 340*o**2 - 81*o**2.\nAnswer: 259*o**2 + 2*o - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -1417*q + 51058. Give l(36).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -155.78 + 156.18. Which is the fifth biggest value? (a) w (b) -3\/37 (c) -1\/4 (d) -2\/7 (e) -3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-15))\/((-1)\/2).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-6) - (-33844)\/12. Suppose 7*a = 3*a + 3*r + q, -4*a - 5*r = -2861. Round a to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62\/173 = -117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence po when two letters picked without replacement from oonnponpnononnnno?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 622361161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -0.1. Suppose -d - 4 = -c, -8*c + 4*c = d - 36. Let h be 2*(0 + (-2)\/6). What is the third biggest value in k, h, c?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (13 + -4)*4\/6. Suppose 4*w + 18 = -2*c, 2*c + 2 + u = -2*w. Let b be (-1)\/2*-1*4. Sort b, 4, c.\nAnswer: c, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -3. Let w be (p + 6)\/(4\/2). Suppose -w*j - 2*z + 0*z + 38 = 0, -3*z - 23 = -4*j. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d + 4. Suppose 0 = -z + 3*p + 17, 8 = 3*z - 3*p - 37. Let a = z + -8. Is 10 a factor of v(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(68) + sqrt(68))**2 + 5 - (sqrt(68) + ((sqrt(68) + 1)*-5)**2))*3.\nAnswer: -4344 - 306*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uurskgugusgqgsgqq. What is prob of picking 1 k and 3 q?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = b - 2*r + 2, -3*b = 5*r + 3. Let a be (-16)\/(-4*2\/b). Let x(g) = 1 - a*g + 0*g**2 - g**2 - 1 + 2. What is x(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*d - 34. Let k = -3 + d. Suppose 3*z = 12 + k. Solve 4*f + z*w - w = -7, 3*w = 5*f - 19 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.14152 - 0.399024. Round q to 3 dps.\nAnswer: -0.258","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.4? (a) -3\/2 (b) -4 (c) 1 (d) 0.5 (e) -5527\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -9283 smaller than -529118\/57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 3*p**2 - 9903*p - 78903018 = 0.\nAnswer: -3737, 7038","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 y when two letters picked without replacement from xdyyyujxxxyyv.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44209?\nAnswer: 11, 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -196 take away -3291?\nAnswer: 3095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1011002121 (base 3) to base 16\nAnswer: -588d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((2 - 10) + (17 - (-3 + 17))) - 54?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 231254 divided by -2?\nAnswer: -115627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.4 + 2. What is the nearest to -2\/5 in 0.3, -8, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -6*b - 17. What is the remainder when 74 is divided by f(-6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 + 218*x + 1868. What is b(-9)?\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1822 at least as big as -2961?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -97180300*-0.2.\nAnswer: 19436060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -595*w + 9525. What is g(16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 506 = -514. Let t be (14\/10 + -1)*70. Suppose -5*r + 57 = -t. Solve -5*x + l = r for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of n**7\/70 - 3*n**6\/4 - 3*n**5\/20 + 11*n**4 + 30*n**3 + 2*n**2 - 65. Factor j(c).\nAnswer: 3*(c - 30)*(c - 2)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6758950 divided by 1351790?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3712 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -251 + 252. Let k be 5 + (v\/((-6)\/12) - 1). Solve -5*z = -k*z - 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 22*g - 3. Let w(f) = -23*f + 3. What is -4*r(a) - 3*w(a)?\nAnswer: -19*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g**4 - g**3 + g**2 - g. Let q(x) = -35*x**4 - 48*x**3 - 31*x**2 - 10*x + 8. Let d(h) = -3*q(h) + 24*y(h). Suppose d(v) = 0. Calculate v.\nAnswer: -2, -1, 4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 134990, 270044, 405088, 540122, 675146?\nAnswer: 810160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*i*k*z**3 + 2*i*k*z + i*k + 78998*i*z**3 + 2*z**3 - 13848*z**2 wrt z?\nAnswer: -18*i*k + 473988*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m + m + 7 = -h, -5*m + 2*h = 21 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 419*q. Let c(r) = 2*r**2 - 586*r - 1. What is t(c(a))?\nAnswer: 838*a**2 - 245534*a - 419","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*p - 2*p + p + 0*p + 63*p**2 - 4*p.\nAnswer: 63*p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 5*t = 125. Let a = t - 7. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66 + 4160*j**3 + 124 - 56 + j**2 + 468*j**3.\nAnswer: 4628*j**3 + j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -461158\/91 or -5067?\nAnswer: -461158\/91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -x + 3, 676*m = 671*m - 15 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 + 0*c**2 + c**2)*((c - 2*c - 6*c)*(173*c**2 - 136*c**2 - 92*c**2) - 2*c**3 + 4*c**2 - 4*c**2).\nAnswer: -383*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 3*p + 9. Let y = -7 + p. Suppose 0*c = -y*c + 32. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 8 = 0, 1 = 5*o - p + 22. What are the prime factors of (5 - -839) + 40\/o?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1502123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + x - 4)*(-18*x - 8 + 2*x - 12*x + 0*x) as y*x + k + f*x**2 and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1)\/w**(-2\/7))**1 assuming w is positive.\nAnswer: w**(-5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 75*q**2. Let p(m) = 5*m - 3. Give p(r(j)).\nAnswer: 375*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 8 + -2*1. Suppose -3*u + h = -0. Suppose u*y = 3*r - 5, r - 5 = -0*r. Solve -y*b + 11 - 1 = -2*q, 5*q - b - 21 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11697\/46852 + -4\/11713. Let q = 0.036 - -0.174. What is the fourth smallest value in 1, -1, z, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48753 is divided by 54?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 470.0073 millilitres?\nAnswer: 0.4700073","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -3) + -2 + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -128 - -133. Suppose -3*k - 1 = -5*t, s*t + 2*k - 2 = 7*t. Suppose -t*l - 4*w = -8, -2*w - 6 = w. Solve 0 = -l*a + 3*a + 5, 4*x - 11 = 5*a for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5\/28 + -9\/28. Let b = -2 + 1. Let t = b + 2. What is the second biggest value in 5, t, l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147*q + 144*q = 27. Let j be 3\/q + (-4)\/12*-7. Solve i = -5*s + 21, 0 = 2*s + j*i - 9 - 1 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 18, 33, 2, 0 in increasing order.\nAnswer: 0, 2, 7, 18, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 18 = -2*d. Suppose 6*q - 4 = 4*q. Let i(z) = 1 - 2 - 3 + q + 2*z. Calculate i(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -1. Suppose 0 = 6*r - 11 - 1. Which is the second biggest value? (a) w (b) r (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33.8 - -33.9. Which is the second biggest value? (a) 0.05 (b) -3\/5 (c) 5 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r + 11. Suppose 5*d + 5*s + 80 = 0, 49 = -4*d - 2*s - 5. Let z be v(d). Let f = z - -6. Solve -2*t = -0 - f for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1071 - -715?\nAnswer: 715.1071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6989*b = -2203*b - 162724 for b.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*v**4 - 48895*v**3\/2 + 25707*v**2 - 8818*v + 980 = 0. Calculate v.\nAnswer: -490, 1\/4, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -98*z + 66*z + 43*z to q + f*z and give f.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*4\/30)\/((2\/770)\/((-78)\/273))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -811 + 811 + 600*x.\nAnswer: 600*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**2 + 1763*j**3 - 3524*j**3 + 1766*j**3 - 2*j**2.\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56010 + 85823. What is the hundreds digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 0*y = 0. Suppose -c + 2 = 2*r - 7, -4*r + 16 = y. Differentiate 1 + c - 16*q**2 - 8 - q**2 wrt q.\nAnswer: -34*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 p, and 1 i when three letters picked without replacement from {p: 1, o: 2, r: 1, i: 4, n: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -11*a - 22 - 39*a**2 + 6 + 83*a**2 - 45*a**2. Suppose 0 = -t - c - 4, -c - 16 = 2*t + t. What is the lowest common multiple of w(t) and 22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -8*k**2 + 21*k. Let c(y) = 15*y**2 - 37*y. Calculate -6*c(m) - 11*n(m).\nAnswer: -2*m**2 - 9*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -21. Calculate the remainder when u is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -6*q - 58. Let b be s(-15). Let l = -19 - -38. Solve -5*p + 2*g - b = -1, -2*p + 3*g - l = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 > 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 2)*(6 - 6 - 2*b**2)*(b**3 + 5*b**3 - 2*b**3).\nAnswer: 8*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + c + 2 = 3, -1 = 4*n + 3*c. Suppose n*l - 4 = -r + 3*l, l + 4 = 2*r. Suppose r = 2*y + 3*f - 16, 4 + 12 = 2*y - f. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34943*k*q**2*x**2 - 40*k*q**2 + 2572*k*q*x**3 + 1009*q**2*x**3 + q*x**2 wrt x.\nAnswer: 15432*k*q + 6054*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 100*b - 8. Calculate t(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.3, -5, 0.5, 20868, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 9. Suppose -3*n - t = 2*n. Let l be 4*(n + (-3)\/(-2)). What is the greatest common factor of 16 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.371206 kilometers in nanometers?\nAnswer: 4371206000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 20 + (20 - 42) + -118 - 16?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 6*x**2 + x - 4. Let m be h(-3). Let u = m - -58. Solve 4*k - u + 4 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-809)\/2427*1*(-1)\/2. Let z = -1\/3 + 1\/2. Determine k so that -1\/6*k**5 + 1\/3*k**3 + 1\/3*k**2 - 1\/6*k**4 - z - l*k = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -34*b + 278. Let u be q(8). Let w(x) = -x**3 + 4*x**2 + 14*x + 4. What is w(u)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3\/(2\/2) - (-10 - 318) is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 4 - 1)*(-1 + 2 + 0) + (-2 - 1 + 4)*(0 + 2 - 1))*(-624 + 177 + 153)*(-2*z**2 - 4*z**2 + 3*z**2) to h + n*z + w*z**2 and give w.\nAnswer: 2646","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**7\/g**28 assuming g is positive.\nAnswer: g**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 105 = -6*j. Let q = j + 24. Suppose z - 188 = -r - 3*r, -5*r = -q*z - 235. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2c2466 (base 15) to base 3\nAnswer: 11000102021220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318295 is divided by 567?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 5*j**2 + 3*j - 1. Let q = -28 - -24. Determine n(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.62 + 0.48. Let o = -0.127 + -3.973. Let a = f + o. What is the biggest value in a, -0.1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/195*10)\/(1\/6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -3*o**3 - 177*o**2 - 1584*o = 0.\nAnswer: -48, -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -492433, 2, -3 in decreasing order.\nAnswer: 2, -3, -492433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -584 - -7590\/13. What is the nearest to 30 in n, -0.2, -0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 60598.01 centuries?\nAnswer: 72717612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.9039 + -1104.56.\nAnswer: -1102.6561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6}. Give prob of sequence yyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.04274 - 0.14274. Let c = 2933\/663 - 57\/13. Is o <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -50919*d**2*w - 119124351*d**2 - 250*d*w - 4*w wrt w?\nAnswer: -50919*d**2 - 250*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.6296525921 less than -0.73?\nAnswer: -4.3596525921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41 + 43. Are k and 3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 407, 800, 1193, 1592, 2003?\nAnswer: 2432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (d**3 + d**3 - d**3)*(3 - 3 - 2) + (32503*d + 32936*d + 4*d**2 - 65853*d)*(0 + 0 - d) as k*d**3 + o*d + j*d**2 + u and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10101113 + 3320?\nAnswer: -10031133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k = 7*k + 75. What is the remainder when 12 is divided by (-2)\/(3 + (-51)\/k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 16 = 0, -6*y - 32 = -5*c - 1132. What is the remainder when 1438 is divided by y?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -888, 1, 0.1?\nAnswer: -888","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/64152448 and -81\/4.\nAnswer: 64152448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -d**4\/3 - 8*d**3\/3 - 6*d**2 + 220*d. Determine x, given that l(x) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 25*z**2 + z - 7. Let t be n(20). Let o = t - 1376. Let v = o - 3218\/5. Find the common denominator of v and 83\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**3\/11 - 10878*l**2\/11 + 21718*l\/11 + 163110\/11 = 0. Calculate l.\nAnswer: -3, 5, 5437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.506 rounded to zero decimal places?\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + 24*f - 106. Let d be y(-28). Is -50 at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 2160249?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2. Let u = -8 - -11. Let n(v) = u*v**2 - 5*v**2 + 18*v**2. What is c(n(y))?\nAnswer: -256*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/(-1))\/(-12))\/((-1188)\/(-88))*(-141)\/94\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**4 + q**4 - 5*q**4 + 2*q**4 + q**2 - q**2 + (-39*q - 104 + 104)*(0*q**3 + 5*q**3 - q**3) to z*q**4 + v*q + u*q**3 + l*q**2 + y and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o + 7*o = 1086. Let p = 372 + o. What is the remainder when p is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((2*sqrt(1470)*5)\/(-6*(sqrt(160) + (sqrt(160)*2 - sqrt(160)) - sqrt(160)))*3)**2*1.\nAnswer: 3675\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 30, 59, 106, 171, 254, 355?\n\"Answer: 9*o**2 + 2*o + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -5 (c) 1 (d) -66 (e) -0.2 (f) 20\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, n: 1, k: 11, z: 3}. Give prob of picking 3 k.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 94 = 12*u, -4*k - 537 + 533 = -u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15165920?\nAnswer: 2, 5, 7, 11, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 6*w**2 + 3*w. Let a(d) = -10*d + 34. Let l(j) = -3*j + 11. Let v(s) = 2*a(s) - 7*l(s). Let y be v(6). List the prime factors of b(y).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b*b\/(((b**(2\/13)\/b)\/b*b)\/b))\/(b\/b**(-1\/2)))**37 assuming b is positive.\nAnswer: b**(4181\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three tenths of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -765*m. Let x(r) = -1548*r. What is b(x(h))?\nAnswer: 1184220*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 plus 16497781365233?\nAnswer: 16497781365230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 0*h + o + 11 = 0, 2*h = -2*o + 2. Let t(r) = 289*r**2 - 6*r - 2 - 290*r**2 + h. What is t(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 2180*w**2 + 17 - 10 + 543*w**2.\nAnswer: -1637*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2266493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 9b85?\nAnswer: 9b87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -b2?\nAnswer: aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3651 minus 1063?\nAnswer: -1063.3651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**3 + 1 - u**3 - 2 - 1 in the form l*u**2 + o*u**3 + g + b*u and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15.313004093 - -15.313. What is m rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*t + t - 3*t)*(2 + 3*t - 2) - 3*t**2 - 2*t**2 + 4*t**2 - 2*t**2 - t + t)*(-3 + 3 + 3*t) - 5109 - 9*t**3 + 5111 + 7*t**3 + 30*t**2 + t.\nAnswer: -29*t**3 + 30*t**2 + t + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 179452324.8 nanoseconds?\nAnswer: 0.0000002967135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -3*l + 9. Suppose 1 = g + l, 3*t - 64 = 5*g. Suppose 0*a + 15 = j + 3*a, -3*j - 2*a + 31 = 0. Calculate the greatest common factor of j and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-26) - (-39650)\/5915)*294\/63?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, b: 7, s: 3, o: 2}. What is prob of sequence obff?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y. Let m(q) be the third derivative of -q**4\/6 - q**3\/6 - 26*q**2. Determine -5*i(r) - m(r).\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)\/sqrt(6) + sqrt(11) + -2 + 4)*2)**2.\nAnswer: 32*sqrt(11) + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*v, 3*x = 6*x - v - 10 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 45 + 33. What is the closest to 44 in a, -2, -5, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 63555*p - 5 - 63572*p + 3.\nAnswer: -17*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -426002, -852014, -1278026, -1704038?\nAnswer: -2130050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (0 - 0) - 2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(720)*1 + sqrt(720))*-5 + sqrt(720))*6)**2*-1.\nAnswer: -2099556 - 7776*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(132)*-2*6 - sqrt(132)*-2*-1))\/((sqrt(12) + sqrt(432) - sqrt(12))*5 - (sqrt(768) - ((sqrt(768) - sqrt(768)*-3) + sqrt(768) - sqrt(768)))).\nAnswer: -7*sqrt(11)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2, 0.4, -0.4, -11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 206188 divided by -12?\nAnswer: -51547\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 35956 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -85, 1\/3, -4, 23, 1 in descending order.\nAnswer: 23, 5, 1, 1\/3, -4, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-261*q - 365 - 255*q + 514*q - 759)*(-5 + 14 + 12) to w + a*q and give w.\nAnswer: -23604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 37*c + 596. Let a(m) = -5*m**2 - 142*m + 2383. Let b(v) = 4*a(v) - 18*i(v). Find w such that b(w) = 0.\nAnswer: 23, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -21. Is 171\/l*(15 - 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 2*w**2 + 2*w - 1. Let p be s(2). Let y = 8 - 1. Suppose 3*h + y = 5*a, -a - 3 = h - p*a. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1376?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -344383\/14500 + 2\/3625. Suppose -4*d = -1 - 3. Find the common denominator of -1 + (-78)\/(-32) + d and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 5*n**3 - 7423*n**2 - 85250*n - 32912 = 0.\nAnswer: -11, -2\/5, 1496","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20.16 - -20.06. What is the closest to c in 3\/11, -3, 0.7?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 99.5 + 18.5. Let a = x - 115. Which is bigger: a or 0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3979\/2 in -2\/5, 4, -0.6, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + 18*f + 20. Let o be k(-17). Suppose -o*v - 24 = -2*m, m - 2*m + 9 = -3*v. Calculate the highest common factor of m and 57.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {r: 6, x: 12}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from spijsiisii?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/1280 and 123\/4895360?\nAnswer: 9790720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 4*i**3 - 3*i**2 + 2*i - 1. What are the prime factors of v(2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.21 and -451870.\nAnswer: -451870.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 - 24*t + 117. Let j be h(17). Let g(s) = s**3 + s**2 + s + 1. Let m(l) = -6*l**3 - 4*l**2 - 4*l - 7. Let p(q) = 5*g(q) + m(q). Calculate p(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 1 = -5. Suppose -g - 12 = -a*g. What is the remainder when 45 is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 32648*j + 826*j**5 - 32648*j + (-2*j**4 + 0*j + 0*j)*(j - 7*j + 3*j).\nAnswer: 832*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 5:36 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -8*y - 1. Let o(t) = -6*t - 1. Let p(r) = 4*i(r) - 4*o(r). Let g(c) = 11*c - 2. Calculate g(p(h)).\nAnswer: -88*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29418198.\nAnswer: 2, 3, 467, 10499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 118.39374 - -0.54426. Let l = -119 + z. Round l to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/4? (a) 3\/4 (b) -10 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.101, 49, 1612, -2.\nAnswer: -2, 0.101, 49, 1612","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 m when three letters picked without replacement from {z: 3, k: 1, m: 1, o: 7}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2485941mm in micrometers?\nAnswer: 248.5941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 185\/838698 and -25\/838698.\nAnswer: 838698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**2 + 4*g - 3. What are the prime factors of p(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 i when two letters picked without replacement from {b: 1, a: 1, i: 1, h: 1, r: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25.23 - 0.23. Let i = s - 25.05. Let d = i + -0.35. Which is the closest to -5? (a) d (b) 3\/2 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125) + 1*(1 + sqrt(125)) + sqrt(125) - sqrt(125)) + sqrt(125))**2.\nAnswer: 30*sqrt(5) + 1126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 10*o**2 + o + 5. Let v be z(-3). Let x be (-14)\/70 + v\/10. Let a(y) = x*y - 9*y - 12*y. Let b(f) = f. Determine b(a(g)).\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 10:59 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 11*o**2 - 23*o + 7. Let n be v(8). Solve 3*k - 5*i - 40 = -0*i, 4*k + i - n = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(728\/130 - 6)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -24 and -182.\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199 + 81 = -5*y. Is (-72)\/y + -1 + 12437\/7 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (132\/176)\/((-2)\/((-32)\/4)). Solve -4*p + 3 = c, -2*c + i*p + 2*p + 6 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 153367 divided by 6.\nAnswer: 153367\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 143*i + 144*i + 25 = 0, 4*f + 15 = -7*i for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 202000121 (base 3) to base 14\nAnswer: 5468","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2\/7 of a week?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/14 and 40\/49.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-552)\/(-36)*(-3)\/2. Let t(m) = m**3 + 24*m**2 + 3*m - 2. What are the prime factors of t(w)?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-3472.\nAnswer: 17360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + 1 - 2*(-14)\/4. Solve 2*q - b*q + 20 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -4007*g - 20940. What is t(-6)?\nAnswer: 3102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.10125 to 2 dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 5089*d**2 + 4*d - 2. What are the prime factors of j(1)?\nAnswer: 3, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g + 14. Let t = 6 + -6. What is the tens digit of y(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 3*c**2 + 2*c. Let h(p) be the third derivative of 0 + 2\/15*p**5 - 2*p**2 - 1\/40*p**6 + 0*p**3 + 0*p + 5\/24*p**4. Give -8*g(b) + 3*h(b).\nAnswer: -b**3 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0\/w*w)**45*(w\/(w\/(w\/w**0)))\/w**(-3) assuming w is positive.\nAnswer: w**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -53.09075 - -0.21275. What is d rounded to one decimal place?\nAnswer: -52.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5649*l**6 + 3745*l**5 + 437456*l**2 - 19.\nAnswer: 677880*l**3 + 224700*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -409*n + 576*n**5 + 31049147*n**3 - n**2 - 31049147*n**3 wrt n?\nAnswer: 34560*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**2 - 22784*c - 22786*c + 45570*c - 61.\nAnswer: 2*c**2 - 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5, 92, 347, 854, 1697, 2960, 4727, 7082?\n\"Answer: 14*c**3 - 11*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 9:17 AM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 6*n**3 - n**2 - n - 1. Let l(a) = a**2 + 11*a + 9. Let o be l(-11). Suppose -5*p - o = -4. Calculate d(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 6*k + 5*c - 3 = 0, -k + 13 = 3*c for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -288, -298, -322, -366, -436, -538, -678, -862?\nAnswer: -1096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/4 and 103\/738.\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139 + 139 + 148 - 298*b - 428.\nAnswer: -298*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 1\/4 (b) -2\/81 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -78*(-476)\/1224 + -37 + -8?\nAnswer: -44\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -3 + 2 - 15\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*p = -10*p + 12*p + 93. Solve 20 = -2*y - 14*b + 9*b, -y + p = -4*b for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 1\/4 (b) 2\/7 (c) 4\/27 (d) -368 (e) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a milligram in nanograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -900185 + 48*c + 1800552 - 900367 + c**2.\nAnswer: c**2 + 48*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -16. Suppose -4 = s*h - f, 4*h - f + 3 = -0. Is -6\/5 less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -3*w - 4*t - 0*t, -w + 5*t + 8 = 0. Let p be 1\/w - 7546\/(-696). Let b = p - 8\/87. Calculate the common denominator of 49\/2 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 484820316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c + 6. Let t be i(-2). Let w be ((-6)\/4)\/((-1)\/t). Suppose 0 = d + w*z + z - 60, 5*d - 300 = 2*z. Does 15 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s - 888*s**3 + 2*s - 1231*s**3 + 2118*s**3 + 0*s.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 1:37 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60293142 and 2340?\nAnswer: 602931420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cqx when three letters picked without replacement from htoxcqc.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3*(-5 + sqrt(5) + 2 + -5).\nAnswer: -25 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 11 = -3. Let g(m) = -2*m - 5. Let d be g(b). Suppose -d*h - 6 - 3 = 0. Sort 5, 2, h in descending order.\nAnswer: 5, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 150*h**2. Let v(w) = 393*w**2. Determine v(g(n)).\nAnswer: 8842500*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/(-2*sqrt(150)))**2 - (sqrt(475) + 2 + 5).\nAnswer: -5*sqrt(19) - 681\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 2*s + 10, -s + 20 = 4*x + 2*s. Solve 4 = -x*v - 3*z + 3, 5*v = 5*z - 25 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r + 14 + 6 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 5*g - 10062159, 0 = 5*u - 3*g + 2774805 + 9802903. Let d = 4225541 + u. Round d to the nearest one hundred thousand.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000750104635 to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 110 + 1603*u**2 + 1170 - 78 - 80*u**2 + 1032 wrt u.\nAnswer: 3046*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 81*o**4 - 4498*o**3 + 63452*o**2 - 40344*o - 8. Let a(n) = 27*n**4 - 1500*n**3 + 21150*n**2 - 13448*n - 3. Let c(x) = -8*a(x) + 3*d(x). Factor c(z).\nAnswer: z*(3*z - 82)**2*(3*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 125*w**2 - 12 + 132*w**2 - 377*w**2 + 122*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**2 - 10*n - 2. Let t be k(-5). Which is the second biggest value? (a) 4 (b) t (c) -1 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -40*a - 206. Let v(w) = -94*w - 413. Calculate -14*l(n) + 6*v(n).\nAnswer: -4*n + 406","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/208557125 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 - 0.8. Let u = j - 0. Let v = 85 - 337\/4. Which is the third biggest value? (a) v (b) -0.5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4788.042ml to litres.\nAnswer: 4.788042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**4 + 33*f**3 + 81*f**2 + 75*f + 24.\nAnswer: 3*(f + 1)**3*(f + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 + 0)*(1 - 3 + 3)*(3 - y - 3).\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 379410 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 16385, 16464, 16555, 16658, 16773, 16900, 17039?\n\"Answer: 6*z**2 + 61*z + 16318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*a**2 - 26*a**2 + 28*a**2 - 1 as w*a + m + d*a**2 and give d.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/4*8\/(-3). Suppose -w*p + 12 - 4 = 0. Is p even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*y**3 - 102*y + 102*y)*(-y - 1 + 1) to d + s*y**4 + m*y + g*y**2 + a*y**3 and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -49584*f**4 - 37*f**3 - 410155*f + 2 wrt f?\nAnswer: -595008*f**2 - 222*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61 - 61 - 778028*n.\nAnswer: -778028*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 271 - ((-6)\/3 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -f**4\/4 - f**3 - 3*f**2\/2 + 2*f + 639. What is c(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1618078.4 rounded to the nearest one hundred thousand?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6a3 (base 16) to base 7\nAnswer: 4645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -3\/40*r**6 + 0*r**4 + 0*r + 0 + 0*r**3 + 1\/6*r**5 + 6*r**2. Find the third derivative of s(p) wrt p.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 4*r**3 + 242648072*r**2 + 242648068*r = 0?\nAnswer: -60662017, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1646 and 27004763.\nAnswer: 27003117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.478 - 0.678. Put 23, 4, o in decreasing order.\nAnswer: 23, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 543626413?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of 25\/2*d**4 + 28*d**2 + 1\/3*d**6 - 16*d - 16\/5*d**5 - 76\/3*d**3 + 1. Determine h so that b(h) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23141884?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 - 0.7. Let v = -1.341 - -0.941. What is the closest to -2\/3 in 1, v, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 4766831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 7 - 21 = 0. Let n be (2\/6)\/((-20)\/(-24)). Which is the nearest to n? (a) u (b) -2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8326569 is divided by 1189.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g - 4. Let i be y(8). Let r = i + -2. Let v be ((-14)\/6 + r)*-18. Solve -2*q = -v*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/13)\/p**1*(p\/p**7)\/(p*p*p**(-5\/4))*((p**2\/p)\/p)**(1\/29)\/(p\/(p\/p**(-5)*p)*(p**(7\/3)*p*p)\/p) assuming p is positive.\nAnswer: p**(-769\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 8*w - 4*w - 13, w - 2*s - 10 = 0. Let b(l) be the second derivative of 0*l**3 - 1\/12*l**w + 0*l**2 + 0 + 2*l. Let f(c) = 4*c. What is f(b(t))?\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/4 - 1907*p + 7627\/4.\nAnswer: (p - 7627)*(p - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 652*t**2 - 4549*t**2 + 1665*t**2 + 1206*t**2.\nAnswer: -1026*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8338687 a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of 3*q**2 + 0 + 0*q + 5\/2*q**4 - 23\/20*q**5 - 2*q**3 + 7\/40*q**6. Determine p so that i(p) = 0.\nAnswer: 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-1)*(30\/2)\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(l + 2*l - l) - 6*l + l + 4*l + (2 - 2 - 2*l)*(-1 - 2 + 2) + l - 2*l - l + (-4*l + 6*l + 3*l)*(3 - 3 - 1) - 5*l + 14 - 10*l - 11.\nAnswer: -19*l + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.01 - -0.49. Let r = m + -0.541. Round r to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of 3*k**4\/2 + k**3\/2 + k**2\/2 - 17*k. Let a be l(-5). Suppose -3*q = 2*m + 35 - a, 520 = 4*q - m. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 7 + 10. Suppose 21*j - c*j - 54 = 0. Solve -j*m = -0*m - 4*n + 3, 4*n - 9 = m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 758938.1 litres in millilitres?\nAnswer: 758938100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -88643, -177268, -265891, -354512, -443131?\n\"Answer: p**2 - 88628*p - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1613, 6519, 14691, 26129, 40833, 58803, 80039?\n\"Answer: 1633*g**2 + 7*g - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -5*i + 615, -632*r = -630*r - 3*i - 372. Let g = 41 - 27. What is the remainder when r is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 + -13. Suppose 3*q = 5*j + 8*q - 30, 0 = -2*j + 2*q - b. Let r(p) = -2*p**2 + 5*p - p + 4*p**j. What is r(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6 + 8*x**2 + 4 - 3 wrt x.\nAnswer: 16*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1033 - 2.7?\nAnswer: -2.5967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 253.7 + 0.3?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -7308025759337+-0.026\nAnswer: -7308025759337.026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -181 - -196. Suppose d*r = 6790 + 3980. List the prime factors of r.\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1604 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrttrsrrrsrr. Give prob of picking 2 r and 1 t.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (33\/65142)\/(2 - (-57)\/(-24)) and 107\/1316.\nAnswer: 11844","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000262151094 to six dps.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 391 a factor of 29816096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 609366 is divided by 87025.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2 - 3*i**2 - 10*i + 4 - 2. Let c(g) = 7*g**2 + 20*g. Let k(j) = -4*c(j) - 9*p(j). Does 7 divide k(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 12) to base 3\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 424 - 90. Let j = -220 + w. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seventeen halves of a meter?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 7 = 2*j - 584, 293 = j - 5*l. Does 12 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 x, and 1 h when three letters picked without replacement from {x: 7, h: 1, e: 10}?\nAnswer: 35\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 - -5. Let c = 31.000145 - j. What is c rounded to five dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*w + 17*w - 3*w + 12*w)*(-3899 - 1562 + 8306) in the form i + l*w and give l.\nAnswer: 65435","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/45 - 9\/(54\/4)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 47*w**2 - 316*w + 98. What is k(-53)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 66936085.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0*x + 3*x - 3)*(244*x**3 - 121*x**3 - 7*x + 3*x**2 - 125*x**3) to the form y*x + l + g*x**3 + t*x**4 + v*x**2 and give y.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 92 + -80. Let z(g) = -g**3 + 13*g**2 - 9*g - 24. Let i be z(u). Is 4593\/9 + 8\/i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of -1\/72*x**4 - 1\/360*x**6 + 0*x + 1\/90*x**5 + 0 + 0*x**3 + 3*x**2. Factor k(s).\nAnswer: -s*(s - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 96\/(-340) + 2\/5. Let l = a - 48\/119. Sort 0.2, -2, l in descending order.\nAnswer: 0.2, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 p when four letters picked without replacement from {p: 10, f: 4}?\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/103)*(((d**11*d)\/d)\/d*d)\/d*d\/(d**9*d*d)*d*d**(-9)\/d)**2 assuming d is positive.\nAnswer: d**(-1858\/103)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*x - 17680 = -475*x - 331*x + 316*x for x.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/60662 and 113\/805938?\nAnswer: 5641566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 44864122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*u - 1440 = 54*u. Does 13 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 1\/840 (c) -1.3 (d) -3 (e) -4\/3 (f) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -155 + 157. Which is smaller: 14\/71 or m?\nAnswer: 14\/71","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (-13 + 5 + -19 + 19).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3778658, -7557311, -11335962, -15114611, -18893258, -22671903, -26450546?\n\"Answer: n**2 - 3778656*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (27*g - 43*g + 21*g)*((2 - 2 - 1)*(2*g**2 + 1 - 1) + g**2 + 6*g**2 + 4*g**2 + 40 - 40 + 9*g**2) as l*g**3 + v + s*g**2 + k*g and give l.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2380 + -11902\/5. Let y = -152 + 764\/5. What is the closest to -0.1 in 7, z, y?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + v = -3*u - 74, 0 = 5*u - 3*v + 114. Let l = u + 31. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 8 - (-3 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 12) in base 2?\nAnswer: -10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 909 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10084*w - 107733 + 319908 + 786141 for w.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7960\/1341 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does -3248313 = -3248310?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t = -11*t + 2*c - 12658, -2*t = -5*c - 25352. What is the hundreds digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2044295065?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 4*g = -68. Is 2 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 6*f + 17. Let z be q(5). Let g = z - 42. Solve 0*m = b + 4*m - 8, 19 = g*b - m for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 15*f - 17. Let n be m(-14). Let p be 2 + (3\/n - -3). Solve 3 = -p*k + k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77\/1329 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/6 (b) -4\/3 (c) 2\/62632621\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/4*10)\/(-1). Let j(z) be the first derivative of f*z**3 + 5*z**3 - 22 - 8*z**3 + 2. Let x(r) = -5*r**2. Give j(x(t)).\nAnswer: 150*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 - -14. Let v = -63 + 66.16. Let k = 8.16 - v. Put k, g, -3 in decreasing order.\nAnswer: k, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*a + 4*i, 40*a - 5 = 37*a + 2*i. Solve -5*q - 3*k = 8 + 10, -5*k = a for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -13\/2, -2\/65, 0.08?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, p: 1, i: 2, z: 4, g: 7}. What is prob of sequence sigz?\nAnswer: 1\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 95 + -91. Suppose i*r + 1110000 = -6*r. Round r to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4*w + 5. Let u(q) = -6 - 374787*q + 374794*q + 4 - 8. Give 3*u(d) + 5*y(d).\nAnswer: d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 67? (a) 3\/5 (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -7. What is the second smallest value in -2\/19, t, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - w - 17 - 307 = 0. What is the remainder when 558 is divided by w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221245 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 + 1. Let h = -624.3 - -628. Let p = h - s. What is the third smallest value in -0.5, p, -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*d**4 - 18*d**4 + 4 + 19 + 2*d**4 - 7 - 18*d**2 to the form q*d**4 + o*d**3 + f*d + s + j*d**2 and give j.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 226, -4, -3 in decreasing order.\nAnswer: 226, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 448 and 574?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 516 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 2*v = -4*v - 28, 0 = 2*x - 4*v - 14. Let r(b) = 5*b - 8. Calculate r(x).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 times -0.2319?\nAnswer: 1.6233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 299261062?\nAnswer: 2, 883, 169457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -699*f + 702*f - 9 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.64 + -10.238163.\nAnswer: -9.598163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -41*a. Let m(s) be the third derivative of 3*s**4\/4 + 149*s**2. Let r(u) = -21*u. Let z(j) = -5*m(j) - 4*r(j). Determine z(l(p)).\nAnswer: 246*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of 26600*u**4\/3 - u - 14. Let j be f(1). What is j rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 b when two letters picked without replacement from kavhhhbh.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 + 0.2915. Let s = g + 0.018675. Let n = 0.01 - s. Round n to five dps.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3 + 2644*b**2 - 1012800*b + 87840000.\nAnswer: -2*(b - 600)**2*(b - 122)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 27, -34, -4, -2 in decreasing order.\nAnswer: 27, 7, -2, -4, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 15*u**2 - 13*u - 15. Let t(j) = 11*j - 6. Let k be t(2). Calculate the remainder when 98 is divided by m(k).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 88 by -2438.\nAnswer: -44\/1219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 50766 + -b?\nAnswer: 50757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g + 1. Let u(w) = -w**3 - w**2 + 22*w + 11. Suppose -29*c = 16*c - 270. Let a(z) = c*u(z) - 66*k(z). What is the third derivative of a(p) wrt p?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22511 * -1.\nAnswer: 22511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3240 divided by 30.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 300 - 124. List the prime factors of d.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -3*p + 51. Suppose -p*m = -37*m. Put -5, m, -0.08, -1 in descending order.\nAnswer: m, -0.08, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of -v**3\/6 - 3*v**2 + 2*v. Let p be f(-6). Put p, 4, -2 in increasing order.\nAnswer: -2, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -70865?\nAnswer: 70867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 0)*((-2*u - 2*u + 2*u)*(-3 + 2 + 3) - 2 + 2*u + 2).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4409 + 18934. Does 18 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f + 8. Let n be h(-6). Let a be (-2 - -5)*(-10)\/(-6). Suppose 2*o - 15 = -a*c + n, -o - 5*c = -30. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 537*i**3 + 6837*i**3 + 3519*i**3.\nAnswer: 10893*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 724753?\nAnswer: 23, 31511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*l - 22 = 0, 2*g - 2 + 18 = 4*l. Suppose -2214 + 3124 = 103*i - 3416. Put 5, i, g in decreasing order.\nAnswer: i, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**17*d**(-1\/45)*d**3*d*d*d**25\/d*d assuming d is positive.\nAnswer: d**(629\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 2*x = 175. What is the remainder when (-2)\/3 + (-442)\/(-6) is divided by x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 0*g + 720 = 0. Let w = 59 - 35. Calculate the highest common divisor of w and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -165981457 equal to -165981455?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1492100\/7 - -213158. Determine r so that -j*r**2 + 0*r + 0 + 36\/7*r**3 = 0.\nAnswer: 0, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10.57 - -0.97. Let a = v - -1.6. Let n be 1\/1*0\/(-116). What is the biggest value in n, -0.4, a?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 39*d**2 - 11*d - 23. What is j(-2)?\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 230 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zoozzzazzozmzzazzaaz. What is prob of picking 1 a and 1 m?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hf when two letters picked without replacement from {h: 2, o: 7, i: 4, y: 2, f: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of -a**8\/16 + 16*a**7\/105 + 19*a**4\/24 + 17*a**3\/6 + 395*a**2. What is the second derivative of z(b) wrt b?\nAnswer: -420*b**3 + 384*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -143.879, 0, 1, 3\/5 in decreasing order.\nAnswer: 1, 3\/5, 0.4, 0, -143.879","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of b**3\/6 - b**2 - 5*b. Suppose -187 + 206 = 19*a. Calculate d(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c\/(c\/(c*c**46)))\/c*c**(-7\/8))\/(c*c**(-20\/7)*c*c\/(((c\/(c\/(c\/(c**(2\/93)*c))*c))\/c*c*c)\/c)*c) assuming c is positive.\nAnswer: c**(228947\/5208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -85778 + 124598. What is the ten thousands digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (14 - 16) + -1 + 8. Let c(m) = -m**3 + 11*m**2 + 11*m - 23. Let x be c(h). Calculate the greatest common factor of 26 and x.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 563*l + l**2 - l**3 - 1871 + 0*l**3 + 566*l - 1128*l as k*l**3 + a + o*l + u*l**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.958 - 5760141665.\nAnswer: -5760141664.042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand z - 129*z**4 + 7*z**3 - 3*z + 131*z**4 + 2*z**4 + 0*z**3 + 0*z**3 + (3*z**2 - 4*z**2 + 2*z**2)*(2*z**2 + z**2 + z**2).\nAnswer: 8*z**4 + 7*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*4*sqrt(75))**2*1.\nAnswer: 10800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -5\/7*t**2 - 25\/7*t + 19 - 1\/21*t**3. Find y, given that x(y) = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -139253\/40 + 17393\/5. Calculate the common denominator of -87\/760 and c.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(((h\/(h*h\/(h*h**(-5))))\/h)\/h))\/((h*h**(3\/7))\/h))**(-1\/61) assuming h is positive.\nAnswer: h**(-53\/427)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4, -4, 2, 26, 25, 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*y**2 - 117 + 8*y - 7*y**2 + 57.\nAnswer: 4*(y - 3)*(y + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4542430 is divided by 21.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-10192)\/(-28) - (4 + -9 + 11) is divided by 135.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23 and 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13257 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 5*k - 16 + 1, -8 = 4*k + w. Is (-17502)\/(-26) + (-2)\/(-13)*k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) - (sqrt(180)*1)\/sqrt(12) - ((sqrt(15)*-4 + sqrt(15))*-6 - sqrt(15)))\/(-4*sqrt(5)*-2 + (sqrt(350)\/sqrt(7))\/sqrt(10)).\nAnswer: -17*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v + 1. What is the remainder when 9 is divided by l(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54391831.\nAnswer: 13, 47, 89021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-24))\/((-1800)\/960).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5 + -1*sqrt(28)).\nAnswer: -15 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**3*i)\/(i*i**18)*i**(1\/6)\/i*i**(-2\/3)\/i)**(-30) assuming i is positive.\nAnswer: i**525","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -14345 (base 6) to base 9\nAnswer: -3132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lll when three letters picked without replacement from clllcllcllllclclccl?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15326 or 38.2?\nAnswer: -15326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssr when three letters picked without replacement from {o: 2, r: 6, s: 10}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 1208 = 3*l. Let b = 1915\/3 - l. Let c = b - 35. Sort -0.5, c, -4.\nAnswer: -4, c, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -216, -140, -28, 108, 256, 404, 540, 652?\nAnswer: 728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by 3\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115538, -230914, -346234, -461468, -576586, -691558, -806354, -920944?\nAnswer: -1035298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-4) - (-15)\/10. Suppose 10 = u*f - 2. Calculate the highest common factor of 54 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 1:45 AM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 6:45 AM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 22380623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6519*z + 3115*z = -3171*z + 3029 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 808270.7 minutes?\nAnswer: 48496242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(5600\/(-20)))\/((-3)\/(-12))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*i - 75*i = 44. Let k(h) = -h**3 + 12*h**2 - 6*h + 22. What is the units digit of k(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -6.2?\nAnswer: 1.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 7*s**2 + 4*s - 2. Let v be (40\/(-50))\/(0 - (-4)\/10). Let m be 6\/(1 - (v + 4)). Give t(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4\/3 - 4*i**3 - 6*i**2 + 28*i\/3.\nAnswer: 2*i*(i - 7)*(i - 1)*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -7*m. Let y = 2 + m. Suppose v + 66 = 3*g, -3*g - y*v + 66 = -5*v. Does 11 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50704400 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2006)\/204 + 10)\/(1*-1). What is the nearest to -14 in -8\/11, 3, t?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + 8 + -11 + -3 - -10\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (24\/14)\/((-10)\/(-35)). Let v(q) = q**2 - 9*q + 12. Let d be v(j). Put 3, -1, d in ascending order.\nAnswer: d, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-14)\/14)\/((62\/4)\/(-1)). Is l >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - (-26 - -39 - -63)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1723*-315\nAnswer: -542745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -36, 5, 76, -2, -1 in descending order.\nAnswer: 76, 5, -1, -2, -9, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 10 + 48 - 50\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 926, -67, 769 in descending order.\nAnswer: 926, 769, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.255867 to two decimal places.\nAnswer: -1.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 374?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12773.87 years to decades.\nAnswer: 1277.387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o - 1. Let a(z) = 13*z**2 - 4*z + 11. Let i(s) = -8*s**2 + 3*s - 7. Let l(f) = 5*a(f) + 8*i(f). Give l(h) - 2*p(h).\nAnswer: h**2 + 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -4 (c) 0.3 (d) 13 (e) 103\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.19 - 0.2. Let j = 45 - 44.9. Which is smaller: j or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 7:17 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59*0.1.\nAnswer: -5.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(20\/9)*i*i**(1\/7))**14 assuming i is positive.\nAnswer: i**(424\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/6618813 and -35\/44052.\nAnswer: 26475252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/4 - 375*l\/2 + 751\/4.\nAnswer: -(l - 1)*(l + 751)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2817?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (18 + 0 - 6)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 5*f**2 - 8*f - 6. Let o be 2860\/35 - 8\/28*-1. Let g = o - 88. Determine i(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(88) - (sqrt(88)*-1 - sqrt(88))*5)*6)\/(6*(sqrt(8) - (sqrt(80)\/(-2*sqrt(10)) + sqrt(8) + sqrt(8)))*3).\nAnswer: -22*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33904599, 67809198, 101713797?\nAnswer: 135618396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 6:30 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 23 (c) 178570\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 0*d + 6 = 0. Suppose -5*u = -8*z + 3*z - 100, 60 = d*u - 4*z. Calculate the least common multiple of u and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h - 13. Let y be b(-11). Suppose -8*f + 51 = 123. Which is smaller: y or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4*z - 15, 0 = b + 2*z - 2137. Suppose 24*i + b - 9423 = 0. Does 9 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 12*d**2 - 1. Let u be g(-4). Suppose 5*n - u = 4*n. Is n - 3\/6*0 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 606393.769 rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t**2 + 0*t**2 - 4*t**2)*(-3 + 0*t + 4*t - t).\nAnswer: 3*t**3 - 3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 287124945 take away -39?\nAnswer: 287124984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 2\/15 (b) -0.01 (c) -0.143 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-84)\/49*23\/((-276)\/(-112)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 99961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-1))\/((5984\/(-616))\/(((-48)\/84)\/(-2))).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuyyuyuuyyuy. What is prob of picking 2 y and 1 u?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*q**3 + 2*q + 5 + 2*q**4 - 8 + 10*q**3 to n*q**4 + m*q + u*q**3 + y*q**2 + i and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 783*c + 5 - 1510*c + 333*c.\nAnswer: -1960*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 5*s + 6. Suppose 9*p = -4*p + 195. Let h(l) = -l**2 + 14*l + 22. What is the remainder when v(-7) is divided by h(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - -22. Suppose -x + w = -2*i, -2*x - i + 48 = -0*i. Let v = 46 - x. What is the remainder when 79 is divided by v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -54 - (-19 - (23 + -22 - 2)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 11:39 PM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46 + 48. Let i(j) = 31*j - 26. Let t(f) = -6*f + 5. Let y(w) = -2*i(w) - 11*t(w). Calculate y(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 67.14 - -83.9. Let c = k - 153. What is c rounded to 1 decimal place?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26179*k**3*q**2 + 19*k**3 - 12*k - 2*q wrt q.\nAnswer: 52358*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 129190 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 1:48 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 77557, 77564, 77571, 77578, 77585, 77592?\n\"Answer: 7*f + 77550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1641219139 to the power of 1\/2, to the nearest integer?\nAnswer: 40512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-6\/13)*j*j**(-7)*j*j)\/(j\/(j**11\/j)*j**0) assuming j is positive.\nAnswer: j**(59\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 211 - 146. Suppose -s = -5*r - 4*m, r - 17 - 5 = m. Suppose r*p - 16*p - 26 = 0. What is the highest common divisor of 208 and p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2)*f)**19*(f\/((f\/f**(-2\/5))\/f))**(-16\/11) assuming f is positive.\nAnswer: f**(-1093\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6499 + 13600 = 263*w for w.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 8:55 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*-23*(-3)\/9 - (110 + -116).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -337982*n + 33. Let b be z(6). Let g = 8072141 - b. What is g rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cjj when three letters picked without replacement from jvjijccccqccci.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(-5)*i))\/i*i**(-2\/11))\/(i**(-1\/6)\/i*(i\/(i**13\/i))\/i) assuming i is positive.\nAnswer: i**(1121\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 4*g - 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**3\/(g**(-3\/7)*g)*g\/((g**(-5)*g)\/g)*g*g**0 assuming g is positive.\nAnswer: g**(66\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kt when two letters picked without replacement from {k: 11, t: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p. Let s be z(1). Let n be 13*s + (-14 - -15). Suppose -4*x = -x - 126. What is the highest common factor of x and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-56))\/(33\/(-44)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*i - 9 = -50*i, -3*b - 2*i - 6 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/90*3*8?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x**3 - 9*x - 3*x**3 + 10*x**2 - 4*x**3 + 9 + 3*x**3. What is the units digit of j(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -5. Let k = 8 - w. Which is smaller: 9 or k?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 84\/(-43) + (-1 - -3). Let v = y - -39\/86. Let g be 1 + -2 + (-1)\/(-1). Which is the second biggest value? (a) g (b) v (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 103, -1.4, -62 in ascending order.\nAnswer: -62, -1.4, 5, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + d**2 + d. Let a(s) = 2*s**3 + s**2 - 3. What is -a(o) + j(o)?\nAnswer: -3*o**3 + o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, c: 1, p: 1, l: 9}. Give prob of sequence lg.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.5 (b) 14 (c) -158\/45 (d) -0.04 (e) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2727*r + 959*r + 935*r + 825*r - 7.\nAnswer: -8*r - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 8*m**2. Let n(t) be the second derivative of -10*t + 0*t**2 + 1\/6*t**3 + 0. What is n(k(d))?\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14741872*g - 16167848 wrt g.\nAnswer: 14741872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kryyddjdkd. What is prob of picking 2 k?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 330*w. Let q(c) = -2*c. What is q(s(h))?\nAnswer: -660*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 4 - -3 - 2 - 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1939 + 2835. Let u(r) = 1799*r + 3 - 900*r + 5*r**2 - l*r. Let k(x) = -3 + 0*x**2 - x - x**2 + 2. Calculate 3*k(n) + u(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -3. Solve -5*d + 0*d = s for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 44*n + 17)*(-3*n + 0*n + n).\nAnswer: -88*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -4*z. Let u(q) = 144*q**2 - 32*q - 32. Let m(i) = -13*i**2 + 3*i + 3. Let n(v) = 32*m(v) + 3*u(v). Calculate n(p(h)).\nAnswer: 256*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**4\/i*i\/((i\/((i\/(i\/i**(2\/9)))\/i))\/i)*i)**17 assuming i is positive.\nAnswer: i**(646\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 4*z - 34. Let x = 5 - z. Suppose 3*a + 3*j - 48 = 0, j - 62 = -2*a - 24. What is the greatest common factor of x and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -16\/3, -0.11, -1, 3, 2\/409?\nAnswer: 2\/409","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 414*j - 411*j = -5*g + 19, -2*g + 16 = -3*j. Is j at least 11.38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + 26*k - 149. Let z be r(10). List the prime factors of 0 + 1357 + (-77)\/z + 11.\nAnswer: 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o + 0 - 85142*o**2 + 0 + 42562*o**2 + 42575*o**2.\nAnswer: -5*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45149 + -28020. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 773, 1 in increasing order.\nAnswer: -10, 1, 773","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 93 = -75. Let i = -0.1 + 0.2. Which is the third smallest value? (a) i (b) z (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3390 greater than -3390?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4556 divided by -2.\nAnswer: -2278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 plus 895960601?\nAnswer: 895960532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -10391, -21158, -32201, -43520?\n\"Answer: -138*w**2 - 10353*w + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -3 + 1\/2*c**2 + 0*c. Let z be r(0). Solve 8 = -2*i + p - 0*p, i + 4*p - 14 = z for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 3)*(-46*j + 63*j - 117*j) in the form d*j + u and give d.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 4*c + 28 = -i, 2*c - 86 = 2*i. Let v = -22 - i. Let b(t) = 7*t - 29. What is the remainder when b(14) is divided by v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.597, -1, 129, 0.04.\nAnswer: -1, 0.04, 0.597, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 853*l**2 - 1946741 + 1946741.\nAnswer: 853*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -5 (b) -0.1 (c) -4 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 428*h**2 + 4842*h - 1885197. Determine v(427).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47*a**2 + a**3 - 19*a - 3*a**3 - 17*a**3 + 47*a**2 to the form m + s*a**2 + n*a**3 + w*a and give w.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/240 and 13\/4640.\nAnswer: 13920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -4862*p**2 + 1781*p - 48. Let u(x) = -x**2 - x - 12. Let y(r) = -4*u(r) + v(r). What is the second derivative of y(j) wrt j?\nAnswer: -9716","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 19\/4 of a meter?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 16*p**2 - 62*p - 18. What is i(8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 976058.\nAnswer: 2, 139, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4552, -4539, -4512, -4465, -4392, -4287, -4144, -3957?\n\"Answer: v**3 + v**2 + 3*v - 4557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -175 - -175. Is l equal to -2\/187?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m + 24 = 17 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -3*f - 3, 35*f - 13813*i + 35 = -13818*i for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 36358, 36378, 36424, 36508, 36642, 36838?\n\"Answer: 2*b**3 + b**2 + 3*b + 36352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 87139, -7, -16 in descending order.\nAnswer: 87139, -1, -7, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2\/5 - 1386496*a\/5.\nAnswer: -4*a*(a + 346624)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -78635710*l - 27545239.\nAnswer: -78635710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -328*d**2 + 2*d + 7. Let l be u(-1). What is l rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -492184\/19 - -25852. Let n = a - -13301\/228. Calculate the common denominator of 73\/6 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - 19*w + 704. Calculate o(-38).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15 or 2296\/149?\nAnswer: 2296\/149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8081299?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of 3065*p**2\/2 - 907*p - 3298. Find the first derivative of u(o) wrt o.\nAnswer: 3065","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 62*c + 53. Let m(g) = -315*g - 264. Let h(s) = -2*m(s) - 11*w(s). What is the tens digit of h(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/367318607?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*i + 1115 = 1369 - 7294. Solve -6*r + i = -46*r for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1814744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39\/28 - -145\/84. Let p = -1.95 - -2. What is the nearest to f in p, 2, -1\/8?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7901693 divided by 59?\nAnswer: -133927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.02991 + 2.02991. Which is the nearest to 0.1? (a) -0.056 (b) f (c) -5 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -83*q**4 + 196*q**3 - 74*q**2 + 6*q + 2. Let o(w) = -167*w**4 + 391*w**3 - 147*w**2 + 11*w + 5. Let g(z) = 5*n(z) - 2*o(z). Factor g(t).\nAnswer: -t*(t - 2)*(9*t - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13550531, 27101065, 40651599, 54202133, 67752667?\nAnswer: 81303201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.14 and 0.3.\nAnswer: 0.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/7 and -49\/440?\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4*y - 280 = 766, 0 = 4*y + 16. What is the remainder when p is divided by 170?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b + 1. Let s be ((-30)\/12 - -6)\/(1\/2). Suppose -8*o = s - 47. Determine g(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -1180*u**2 + 2*u - 2. Let k be h(-3). Let w = 148881\/14 + k. Find the common denominator of 35\/22 and w.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3917?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -84, -200, -362, -570, -824?\nAnswer: -1124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0 + (-2 + 2 - 2)*(-1 + 2 + 0) + 3 - 3 - 1 + 2 + 0 - 3)*(82 - 17*i**2 - 82).\nAnswer: 85*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16865265 is divided by 976?\nAnswer: 961","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5325089 to the nearest integer?\nAnswer: 2308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 11*k - 15 = 0. Suppose 10*o = k*o - 5. What is the closest to o in 1\/9, -3, -2?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2192, -3647, -3600, -1301, 4000, 13053?\n\"Answer: 125*z**3 + z**2 - 2333*z + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -108 - -426. Is l a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - t - 3*t)*(-3 + 4 + 1) - 279*t - 282 + 150 + 133.\nAnswer: -287*t + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -708\/355 - -170\/71. What is the biggest value in 5, -1\/4, -61\/3, -5, s?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100335581 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15085, -120916, -408187, -967618, -1889929, -3265840, -5186071?\nAnswer: -7741342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 125*q**3\/4 + 629*q**2\/4 + 5*q = 0?\nAnswer: -5, -4\/125, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -18853, 536 in descending order.\nAnswer: 536, 10, -18853","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.07 and -7.415.\nAnswer: -7.485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -66 - -420. Let y = n + -68. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 3\/5 (c) -450 (d) -25\/4 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2. Let w(m) = 5 - 46*m - 5 + 52*m. What is b(w(v))?\nAnswer: -36*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (0 - (-3)\/4)\/(1\/44) is divided by 23?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*z**5 + 61*z**4 - 67*z - 41.\nAnswer: -260*z**3 + 732*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**4 - a**3 + a**2 + a + 1. Let d(x) = -4*x**4 + 2*x**3 - 2*x**2 - 2*x + 3. Let o(h) = -d(h) - 2*j(h). Find the first derivative of o(u) wrt u.\nAnswer: 24*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3058054?\nAnswer: 2, 1529027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**2 - 8*b - 7. Let a be m(-1). Solve -15 = -a*x + 8*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 10:38 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f + 5. Let o(l) = -2*l + 11. Let n be o(9). Is 12 a factor of m(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of t**2*w**2 + 10*t**2*w + 2*t + 715*w**2 wrt t?\nAnswer: 2*t*w**2 + 20*t*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is l in l**4\/4 + 34462*l**3 + 3167034825*l**2\/2 + 24254736184288*l + 97012610805349\/4 = 0?\nAnswer: -45949, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3788164931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1883*x - 1931*x + 1488 for x.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 2*d = -0*m + 12, 0 = -4*d - 4. Let b(h) = h + 3. Let r be b(-6). Let v be (1 - -2) + 12\/r. What is the closest to 0 in m, -1\/5, v?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 68 divided by 64552\nAnswer: 17\/16138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2*(sqrt(52)\/sqrt(4))**2 + 3)*-2.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 3*w + 19, k - 4 = 6*k - 2*w for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1726429?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - 15 - (36 - 24 - (17 + 0)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 5*k - 108 = 4*x, -344*k = -339*k + x + 11 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 194759 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/((r\/(r*r\/(r**(-7\/5)*r)))\/r))\/r**(4\/3))\/((r*r**(-1\/7))\/r**7))**(-33) assuming r is positive.\nAnswer: r**(-9482\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 6 = 3*d, -3*t + 1171*d = 1176*d - 16 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(13)*-1 + ((1 + sqrt(13))*-3)**2)*2 - (sqrt(91) - 3*(sqrt(91)*2 + sqrt(91)))\/(sqrt(77)\/(sqrt(11) + sqrt(33)\/sqrt(3))).\nAnswer: 44*sqrt(13) + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 9 + 2 + 1 + z. Let t be u(0). Solve -k = 2*k - t for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -26\/15*q**3 + 1\/150*q**6 + 0*q + 9\/10*q**4 - 1\/5*q**5 + 94*q**2 + 0. Factor m(p).\nAnswer: 4*(p - 13)*(p - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*h**5 - 50*h**2 - 240*h**4 + 171*h**4 - 2*h**5 wrt h.\nAnswer: 60*h**2 - 1656*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -125.3 + 125. Which is the second biggest value? (a) j (b) 16 (c) -0.5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24131952*w**3 + 162*w**2 + 4921*w wrt w?\nAnswer: -144791712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -263*u**2 + 2 + 8*u**3 + 301*u**2 - 6*u**3 to z*u**3 + o*u**2 + k*u + a and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/10)\/(((-9)\/750)\/(-1)). Let p be 701\/7 - (-3)\/(-21). Let y = p + m. What is the second smallest value in y, 3, -1\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9075 is divided by 445.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 70, 144, 218, 292, 366, 440?\n\"Answer: 74*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/7 + ((-288)\/(-63))\/(-1). What is the units digit of t\/((-30)\/81)*(32 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9790, 5816, 1844, -2126?\n\"Answer: x**2 - 3977*x + 13766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -8. Suppose -4*x = -i*x - 12. Solve 3*o - 18 = -x*r, 4*o + 0*r - 18 = -r for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 70021924.83 to the nearest 100000.\nAnswer: 70000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 54?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5471877?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 133481651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 g when two letters picked without replacement from {y: 6, g: 4, s: 1, n: 2}?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*z)*(-1592*z**4 + 367*z**4 + 834*z**4).\nAnswer: -782*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*l + l**2 + 18*l - 7*l.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*d + 542 = -87. What is the third derivative of -6*i - 89*i**4 + 14*i + 2*i**2 - d*i wrt i?\nAnswer: -2136*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1233 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 1521.3156023 to 1 decimal place.\nAnswer: 1521.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 80 = -0. Let i = c - -19. What is the greatest common divisor of i and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((16 - 11) + (-11 - 1)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.041342*0.0431\nAnswer: 0.0017818402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -23*b**2 + 2*b. Let a(o) = -8*o**2 + o. Let y be (-3)\/((-1)\/14 + 24\/42). Give y*i(s) + 17*a(s).\nAnswer: 2*s**2 + 5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - (12 + -6)) + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42583.\nAnswer: 97, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140952332.\nAnswer: 2, 131, 268993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*t - 2*m + m, -2*t + 19 = 5*m. Suppose -p - 10 = -t*k + 38, -48 = -2*k + 2*p. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 2 - ((-791 - -790) + -5 + 0)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 2*q - 2*q)*(q - 2*q - q) + 2*q - 7*q**2 + 8*q + 8*q**2.\nAnswer: 3*q**2 + 10*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/((27\/(-10))\/9). What is the tens digit of 2\/10 + 2256\/o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -7*c. Let z(b) be the second derivative of 0 + 0*b**2 + 8*b - 7\/6*b**3. Let i(s) = -8*s. Let q(l) = -6*i(l) + 7*z(l). Give x(q(r)).\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**2 + 18*q + 65. What are the prime factors of g(-24)?\nAnswer: 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.3 - 1.3. Let g = 242\/5 - 49. What is the third biggest value in g, a, 3\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 18 = -0*t - 3*t, -5*t + 30 = 4*z. Suppose 3*s + t = y + 2*s, -2*s = 4*y. Suppose -5 = -3*v - f, 2*v + v + 11 = -5*f. Which is smaller: v or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-56)\/40 - 6\/(-15). Let g be (n\/(-2))\/(3\/(-108)). Is 63 a factor of (-4072)\/(-18) + g\/81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 771, 1, -302, 8 in decreasing order.\nAnswer: 771, 8, 1, -302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 5:34 AM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/(-20))\/((-2)\/(-10)). Let o(q) = q**3 + q - 4. Does 10 divide o(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*a**2 - 83030*a = 0. Calculate a.\nAnswer: -16606, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 111950.\nAnswer: 447800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.16 - -0.14. Let r = 35\/22 - -10\/11. What is the third biggest value in x, r, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 6*h - 10. Let k(r) be the third derivative of 7*r**4\/24 - 11*r**3\/6 - 9*r**2. Let m(j) = 4*c(j) - 3*k(j). Differentiate m(o) with respect to o.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 100, 199, 336, 511, 724, 975?\nAnswer: 1264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/(-7) - 13\/(-91).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218*q = 46236 - 51468 for q.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1985 in -6, 2\/9, 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 10*p**2 + 5*p - 6. Let s be g(10). Let d = 32 - s. Let x(t) = t**2 + 9*t - 13. Is x(d) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(2052)*3 + sqrt(2052)))\/((sqrt(297) + sqrt(33))\/sqrt(11) - ((sqrt(3) - 1*sqrt(108) - sqrt(3)) + sqrt(3))).\nAnswer: -16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 23*h**2 + 59*h - 93. What is z(20)?\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + -7 + (1 - 2). Let r(i) = -i**3 - 6*i**2 - 5*i. Let h be r(t). Which is the closest to h? (a) 3 (b) -11 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**3 - 77984*t**2 - 155920*t + 623808.\nAnswer: -4*(t - 2)*(t + 4)*(t + 19494)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5 and -413.19244875?\nAnswer: 418.19244875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*k - 5 = 12 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1476\/54*(0 - -1))\/(13\/234). Solve -z*c + 3*y = -491*c - 9, -c - 2*y - 1 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5347958384?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2173 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -45510774\/1319 - -34504. Is f greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18407 + -10781593. What is x rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 495 and 1485.\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63106.\nAnswer: 2, 139, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/7200*-24 + (-2 - (-46)\/(-120))?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3*b + 0*b - 4*b)*(-4 - 2 + 3) + (2 - 1 + 1)*(-260 + 260 - 46*b).\nAnswer: -89*b - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/115)\/(-1*(-4)\/(-20)*-5)?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 353\/2 - 178. Let m = 883627\/7 - 126537. Let a = m - -304. Sort l, a, 4\/5 in decreasing order.\nAnswer: 4\/5, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51195 - -55586. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 3*f + 18 = 0. Suppose -42 = 2435*p - 2428*p. Let q be ((-2)\/p)\/(f\/(-27)). Sort 1, q, 5\/6 in decreasing order.\nAnswer: 1, 5\/6, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -683.4 rounded to zero dps?\nAnswer: -683","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f + 4. Let r be (-1 - 4)*3\/3. Let y(m) = 4. Let u(c) = r*j(c) + 4*y(c). What is u(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -4*j - 1688 + 1686, -4 = 4*j - 4*b for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 13. Suppose 0 = -3*g + 4*b - 7, 0 = 3*g + 4*b - 0*b + 23. Let y = g + u. Put y, -3, 4 in decreasing order.\nAnswer: y, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 367733885 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 31, -0.5, -6\/5, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 23684*l**2 + 4*l - 25. Is k(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mam when three letters picked without replacement from amkkmmmak?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 354 and 4.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q - 3. Let z be h(3). Differentiate -z - 1 - 5 - 3*o - 8*o wrt o.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 3:36 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**4 - 80*s**3 + 276*s**2 - 328*s + 128.\nAnswer: 4*(s - 16)*(s - 2)*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -23*c**3 + c**2 + 4*c - 61. List the prime factors of v(-7).\nAnswer: 47, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -8 + 6 + (-16 - 3\/(-1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -302051355 + -444?\nAnswer: -302052243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(891)*1 + sqrt(891) + -2 - sqrt(891) - sqrt(891)) + sqrt(891) + -1 + -4 + -5)**2 + 2.\nAnswer: -126*sqrt(11) + 942","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 1 - 5. Let w(r) = 2*r - r - l*r. Let y(q) = q. Calculate y(w(n)).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 58, 124, 196, 280, 382, 508?\n\"Answer: s**3 - 3*s**2 + 68*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 69*w**2 - 1096*w - 89. Determine l(44).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - -3 - 0\/2. Suppose k = -3*l + 26, o*l = 5*k + 12 + 18. Suppose -l - 42 = -5*c. Does 10 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u*u**12*u)\/u)\/(u**(2\/13)*u))\/(u**(-1\/2)\/u*u**4\/u) assuming u is positive.\nAnswer: u**(295\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -116 - -9ae?\nAnswer: 898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 3)*(-3851*d**2 - 4733*d**2 - 399*d**2).\nAnswer: 8983*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 189783 and 261351?\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.6 - -3.5. What is the closest to -0.3 in 1, a, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f**2. Let x(y) = 737*y**2 - 49*y + 14. Let z(l) = -245*l**2 + 14*l - 4. Let w(u) = -2*x(u) - 7*z(u). Give s(w(g)).\nAnswer: -174243*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 10. Let j be x*(4\/6)\/2. Suppose -j + 1 = 2*c. What is the closest to 0.1 in -4, 0, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*b)*(60*b + 127*b + 291*b) + (-2*b**2 + 0 + 0)*(2 + 4 - 5) + b - b + b**2 + 3*b**2 - 2*b**2 - 3*b**2 - 2*b**2 - 5*b**2 + b**2.\nAnswer: -965*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 4*d**2 - d. What is n(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 160 and 96.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*((w**(1\/27)\/w)\/w)\/w*w*w*w\/w**16 assuming w is positive.\nAnswer: w**(-404\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.39, 4\/97, 1, 0.4 in increasing order.\nAnswer: 4\/97, 0.39, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 190*t**3 + 3*t**2 - 3*t + 3. Let f(c) = -191*c**3 - 2*c**2 + 2*c - 2. Give -3*f(k) - 2*j(k).\nAnswer: 193*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*x**2 - 26*x**2 + 30*x**2 - 5*x + 13*x.\nAnswer: -14*x**2 + 8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 - 2*f**2 + f**2)*(5*f - 4*f + f) + (108*f + 41*f - 81*f)*(-4*f**2 + 4*f**2 + f**2).\nAnswer: 70*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of 41*r**6\/24 + 19*r**5\/60 - r**4\/12 + 69*r**2. Find the third derivative of p(f) wrt f.\nAnswer: 1230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1151.87 rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9150*c - 103615 + 103615 to the form t + x*c and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2101 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n**2 + n + 1. Suppose 3*g + 3*f + 0 = -6, 0 = -2*g + 2*f. What is the units digit of j(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(1573) - ((-2 + sqrt(13))*2 - sqrt(13)) - (4*(sqrt(13) + 2) + ((sqrt(156)*3 - sqrt(156))\/sqrt(12) - sqrt(13))))*-2.\nAnswer: -10*sqrt(13) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of g**4\/24 - g**2. Let w(n) = -n - n + 2*n + n. Give w(k(p)).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -37700*r - 980073. What is a(-26)?\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 0 = -5. Suppose -2*d - 41 = -33. Let p be 4*(1 - d\/(-16)). Solve -3*y = 3*w - 24, -w - p*w = j*y - 37 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 734.32 + 15.68. Let m = -779.8 + u. Round m to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12.3 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.86 - 1.14. Let m = -0.3 + -0.2. What is the nearest to -2\/3 in -4, o, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a meter in centimeters?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24343 or 219097\/9?\nAnswer: 24343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 129, -5, 0 in descending order.\nAnswer: 129, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 0.057, 62, 1?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 1\/4 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*6 - (-17 - -18)*30\/(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22046 and 14194?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 73 + -82. Let z be (1 + 24\/v)*-3. Solve t = -4*g - 0*g + 5, -13 = g + z*t for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -1\/6, -13\/17, -3\/4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 2\/3 (b) 3 (c) 527 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hmpq when four letters picked without replacement from pmmhhhmpmhmmmmmhmqm?\nAnswer: 55\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 + 29. Solve -3*y + 5 = -h*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/992 and 127\/1116?\nAnswer: 8928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 + 15. Suppose 11*j - m = 10*j, 2*m = -6. What is the closest to r in 1, j, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 3*n + 5 - 25 = 0, 3*w = 3*n - 6. What is the third derivative of -3279*d**6 + 1508*d**6 + 1596*d**6 - 141*d**w wrt d?\nAnswer: -21000*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u = -6*u - 77. Suppose -47 + u = -4*v. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82631204065 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 844017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22 by 1207.\nAnswer: 22\/1207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605)*1)**2 - sqrt(605))*-5.\nAnswer: -3025 + 55*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.7 + 0.2. Let x(m) = -4*m - 249. Let u be x(-63). What is the nearest to -0.1 in u, -5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9509 (base 10) to base 5\nAnswer: -301014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - 18*i + 54. What is g(14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 6:08 AM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9427, -9425, -9423, -9421, -9419, -9417?\n\"Answer: 2*i - 9429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -p + 59\/6*p**3 + 22*p**2 - 17. Find the first derivative of v(w) wrt w.\nAnswer: 59","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 4\/3, -9, -33\/7, -1\/2?\nAnswer: -33\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z**3 + 11*z**2 + 3*z + 6. Give t(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 112967?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*j - 0*j. Let n(v) be the third derivative of 0*v + 1\/30*v**5 - 1\/6*v**4 + j + 2*v**2 + 0*v**3. Suppose n(u) = 0. Calculate u.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pcpppnvnpfvnvnpngpfp. Give prob of picking 1 v, 1 n, and 2 f.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d - 3*d + 8 - 3 + 6*d**2 + d**3. Let c be y(-6). Solve -11 = c*q - 36 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*g**2 + 5*g - 5*g + 14*g**2 - g**2 + 6*g**2 - g**2 + g**2 - 2*g**2 - 6*g**2 + 4*g**2 + 4*g**2 - g**2 - 3*g + 3*g + (2*g - 3*g - g)*(-2 + 2 - g).\nAnswer: 26*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -210 (c) 46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -169*y - 2. Let n(s) = -846*s - 10. Let a(r) = -2*n(r) + 11*t(r). Let z be a(-6). Suppose -2*u = 2*u + z. Round u to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -7*u**3 - 3*u**2 + 7*u. What is the hundreds digit of l(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(-24)\/684*6\/10?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -11. Let l be 1 - 1 - (-8)\/18. Let t = -19\/63 + l. Put t, -0.5, o in increasing order.\nAnswer: o, -0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**15\/(y*(y**(-5\/3)*y)\/y)*(y*y**6)**(2\/13) assuming y is positive.\nAnswer: y**(653\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -371 - -369. Which is the second biggest value? (a) 0.5 (b) g (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5\/23 - 49\/92. Suppose 0 = -6*a + a. Is a greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 428 = -4*q + 4*l, 3*q + l - 315 = 0. Suppose 0 = 6*g - 20*g + 112. What is the smallest common multiple of g and q?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 7*n**2 - 19*n - 51. Let m be o(8). Suppose m*z - 14 = 238*z. Solve z*w = -6 - 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 21 and 61?\nAnswer: 1281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-578)\/(-14) + 18\/(-6) + (-370)\/1295.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = g - 20, -g + 10 = -2*g - 2*m. Suppose g = -3*i + 9. Solve 5*c = -5*f - 45, -3*f + 0*c = -3*c + i for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -735516 divided by 183879?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 9*q**2 + 3*q + 2875. Let m be n(0). Calculate the highest common factor of m and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1071 and 16352217.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*i**3 + 33*i**3 - 148*i**3 + 41*i**3 + 41*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.6 from -1.27791917037.\nAnswer: 0.32208082963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1307 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 2:05 AM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 100 = -90. Suppose 2*q = o*k + 4*q - 28, 5*q + 2 = -k. Does 9 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 19*s**2 + 19*s - 74. Give k(18).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -137a6 (base 11) to base 2\nAnswer: -100110010001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -3*h + 2. Let q(t) = -t**3 - t**2 + 2*t + 2. Let y be q(-2). Let -6*f - 4 - 6*f**2 + y*f**2 + 2*f**h = 0. What is f?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 4*q**2 - 4*q + 1. What is o(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 288*g**2*i**3*j**2 - 2*g**2*i*j**2 + 11*g*i**3 - 7*g*j**2 - 2*g*j - 5*i**2*j**2 wrt g.\nAnswer: 576*i**3*j**2 - 4*i*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1832*n**4*s**2 + 4*n**2*s*u + 7885*s**2*u + s*u wrt n.\nAnswer: 7328*n**3*s**2 + 8*n*s*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-45) + (-15)\/(270\/(-4)). Let r = -1.17 - -1.2. Let h = 0.13 - r. Put h, c, 2\/9 in decreasing order.\nAnswer: 2\/9, c, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 66601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + -9 + (4 - 5). Let l be ((-6)\/(-4) + -2)*c. Let q be 18\/1 - -1*1. Solve w - 6*w - 1 = g, 0 = l*g + w - q for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -16*y**3 - 8*y**3 - 10*y**3 - 6*y - 7*y**2 - 8*y**3 - 4 + 41*y**3. Determine b(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 + o**2 + 0*o**2)*(o + o - 4*o) - 4*o**3 - 54 + 54 - 3*o**3 - 3*o**3 - 2*o**3 + (-o + o - o**3 - 2)*(-5 + 1 + 8).\nAnswer: -18*o**3 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21*(2 - 399\/441)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of -h**6\/120 - 11*h**5\/60 + h**4\/12 + 3*h**3\/2 - 2*h**2 - 46*h. Determine j(-11).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - -125. Calculate the remainder when x is divided by -6*(-8)\/6*(-96)\/(-16).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from tttttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*r = 10, 3 + 1 = 5*s - 3*r. Suppose 0 = -2*z + z + s. Let u(f) = -f**3 + 5*f**2 + 6*f - 5. Let x be u(6). Sort 0, z, x in ascending order.\nAnswer: x, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 69 + -39. Let m be 28\/(-6)*s\/(-35). Sort 5, -15, -4, m.\nAnswer: -15, -4, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39323503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 4 (b) -5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 64480093 to the nearest integer?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-66)\/17 - -2 - -2. Let u = 5098.12 + -5098. What is the nearest to 0.1 in -2, r, u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1501328 and 927.\nAnswer: 13511952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48 and 217581864.\nAnswer: 435163728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1449*s - 49465 - 137545 = -6817*s + 160162 for s.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l*l**(-1\/2))\/l))\/l*(l*l**(-14\/5))\/l*(l**6*l)**32)**(-48) assuming l is positive.\nAnswer: l**(-53208\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 332 is divided by 247.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4251 and 2106.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*3*sqrt(1300) + (sqrt(1300)*-3*-5)**2.\nAnswer: -150*sqrt(13) + 292500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -361 + 1105 = 6*s. Let r = -125 + s. Does 14 divide (153 - 1)*r\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - z - 11 = 22, 0 = -z + 3. Let r be ((-3)\/(-6))\/((-2)\/p). Suppose -2*t + 4*t - 8 = 0, 0 = -5*j - r*t + 52. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, i: 7, f: 2, g: 1, s: 7}. Give prob of sequence ms.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 28966*m - 1537998. Determine w(53).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -109667123 + 207928885313\/1896. Let k = 5\/237 + w. Find the common denominator of -93\/2 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 741*h**5 - 2*h**2 + 314 wrt h.\nAnswer: 44460*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7656 + 1184. What is the thousands digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*l**2 + 2*l**2 + l**2)*(-317*l - 18804 + 18804).\nAnswer: -317*l**3 + 317*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297*a = 344*a - 1034 for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 8*o**2 + 34*o + 23. Let p be l(6). Let m = -514 + p. What is the highest common divisor of 4 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 11*h + 24. Give l(-12).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -1. Suppose -p + 7 = h, -4*h + 43 = p + 12. Suppose 3*o + 4*f - 18 = h*f, -13 = -2*o + t*f. Which is the biggest value? (a) -0.4 (b) o (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 7*b + 12 - 3*b + 6*b - 2*b - b - 1 + 1 + (6 - 2 - 2)*(0*b + 0*b - 2*b))*(-4*b + 3*b + 0*b).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*i**3 + 0*i**3 - 71*i + i**2 + 230 + 72*i + 24 to q*i + a*i**2 + f*i**3 + v and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*c**2 + 27*c**2 + 29 - 2*c + c**3 - 101*c**2 + 23*c**2 + 26*c**2 to the form m*c + q + j*c**3 + n*c**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 16*t + t**2 + 16*t + 6*t**3 + t in the form x*t**3 + w*t + v*t**2 + c and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(968) + sqrt(968) + sqrt(968)*-2)*1*4)\/(((sqrt(64) - -5*(sqrt(64) + 1*sqrt(64))) + sqrt(64) + sqrt(64) - sqrt(64) - sqrt(64)) + -1*sqrt(64)*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -4*f + 3*s, 3*s + 6 = s. Find the common denominator of 4\/9 and 202\/90 - ((-24)\/f)\/(-4).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 i when three letters picked without replacement from {i: 2, d: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j**4*q - j**4 + 19*j**3*q + 6730*j**3 - 60643*j**2*q - 2*j wrt j.\nAnswer: -48*j*q - 24*j + 114*q + 40380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9, 0.1, 13, 3\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (150\/(-225))\/(3\/((-3)\/(-2)))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 61 - 75. Which is smaller: h or 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q - 2*q + q - 800*q + 1256*q + 394*q + (-4 + 4 - 2*q)*(-3 + 2 + 3)*(0 - 2 + 3).\nAnswer: 845*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**3*m**2 + 1528*f**3*m - f**3 + 42282*f**2*m**2 + 47*f*m - 2*m**2 wrt m?\nAnswer: 4*f**3 + 84564*f**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1768*l + 1768*l + 109 - 76*l**3 with respect to l.\nAnswer: -228*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 65.\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 1, 30*y = 20*y - 5*b - 25 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f + 15. Let b = -1215 - -517. Let a = b - -710. What is h(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + d = 3. Let n = 118.8 - 119. Which is the closest to 0? (a) d (b) 2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 320?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16802934?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -49597.2 times 0.3\nAnswer: -14879.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.17, 0.4, -1.75, 28, 1?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11592 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/1786 and 75\/4.\nAnswer: 3572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0, -104, 2\/5, -873?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -35240.1492 rounded to the nearest one hundred?\nAnswer: -35200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z - 4 - 2*z + 5 + 16*z. What is s(-1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11726?\nAnswer: 2, 11, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 0. Let k(g) = -g**2 - 5*g - 3. Let o be k(l). Solve -3*w + o*x - 18 = 0, 5*x = 2*w + 4*x + 8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 18259, 73184, 164725, 292882, 457655, 659044, 897049?\n\"Answer: 18308*m**2 + m - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 32, 56, 84, 116?\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -10*u + 186. Determine k(26).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 f when two letters picked without replacement from qfqqhlqqtlqqhqlqtj?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -2\/507, 1.78, -0.2, 3\/2?\nAnswer: -2\/507","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -390, -100, 186, 462, 722?\n\"Answer: -r**3 + 4*r**2 + 285*r - 678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-45) - (-33490)\/(-5100)?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/3, -135, -4, 4\/7?\nAnswer: -135","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 divided by 19?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 8:26 PM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70379?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.4004244 rounded to 3 decimal places?\nAnswer: 4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1003034 (base 5) to base 16.\nAnswer: -3e93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 59528 divided by -14882\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -25? (a) -13 (b) 2\/9 (c) 474\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18810 rounded to the nearest one hundred?\nAnswer: 18800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)*-1*-2)\/(sqrt(343) + 1*sqrt(343)))\/((2*sqrt(90) - sqrt(90))\/(sqrt(12)\/(sqrt(6)*-2))).\nAnswer: -sqrt(2)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -879980, -4, 1.\nAnswer: -879980, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -49133 (base 13) in base 5?\nAnswer: -13243403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g - 9*g + 13*g - 2*g**2 - 3*g.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-990)\/(-66))\/(-1 - (-12)\/10). Calculate the greatest common divisor of x and 525.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -a**6\/120 - a**5\/12 + a**4\/3 + 4*a**3\/3 - 18*a**2. Suppose -12 = u + l, 9*l - 20 = 4*l. Let f = -22 - u. Calculate b(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of o**9\/7560 - o**8\/1120 - o**4\/12 - o**2. Let i(a) be the second derivative of k(a). Factor i(m).\nAnswer: 2*m**3*(m - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.7855 + -0.2414. Let s = k + 1.01. What is s rounded to 3 decimal places?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 2*f - 2*f)*(0 - f + 0) + (0*f + 4*f - 2*f)*(298 + 8*f - 298).\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-7)*(-777 + 777)\/(1\/1). Factor o*w**3 + 0 - 4\/3*w**4 - 8\/3*w + 4*w**2.\nAnswer: -4*w*(w - 1)**2*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**3 - 15*j**2 + 9*j + 4. Calculate b(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57084 and 544308.\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 179051 + -303\nAnswer: 178748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -75028, -75059, -75116, -75205, -75332?\n\"Answer: -h**3 - 7*h**2 - 3*h - 75017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25793 (base 15) to base 2.\nAnswer: -11101010000011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 6*m**2 + 5. Let x be d(6). Is (10\/(-4))\/x*-370 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 + -2 + -2*1. Let j = 3 - x. Let -3*o - o + o**j + 3*o = 0. Calculate o.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, k: 10, l: 3, x: 1, c: 3}. Give prob of picking 1 x and 2 z.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 8 - 2. Let v be 4\/((-3)\/t*-1). What is the units digit of 30\/v - 7\/(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269850638?\nAnswer: 2, 134925319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2179 - 2178.92. Let u = -0.4 + 0.2. Sort y, 0, u.\nAnswer: u, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 316 divide 14683268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ghghhhgghhhgghghghgg. What is prob of picking 1 g and 1 h?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -422 - -4?\nAnswer: -41a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5948847, 11897671, 17846499, 23795331, 29744167, 35693007?\nAnswer: 41641851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3*y + 8, 4*s + 2 = -2. Let v = 0 - y. Solve -v*m - 3*m - 5 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3970 - 3968. Calculate the lowest common multiple of a and 1134.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2646*f - 13222*f + 2437*f - 6506*f.\nAnswer: -14645*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-4) + (-7)\/(-4). Let c(x) = 4*x + 2*x**3 - 1 - 2 - 5*x**2 - 3*x**3 + b*x**3. Let a be c(4). Sort -0.2, 0.4, a.\nAnswer: a, -0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 281*d**2 - 213*d - 18484. Determine z(280).\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 6*k**2 - 39*k - 5982. Let j be v(35). Let x(p) = -p - 1. Let q(w) = -w**2 - 7*w - 6. Let c(o) = 2*q(o) - 14*x(o). Determine c(j).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0 (b) -0.2 (c) 0.8 (d) -0.3 (e) -190\/41 (f) 1\/5 (g) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 77*i - 79*i, -m + 2*i + 5*i + 54 = 0. Let g = 17 - 11. Calculate the smallest common multiple of m and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2986.26101 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 9:15 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -124, -279, -496?\nAnswer: -775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvu when four letters picked without replacement from vuvuv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*o**2 + 2*o - 2*o + 44*o**2 to the form r + j*o**2 + s*o and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 620\/121 - 21683\/6050. Let n = u - 1849\/1225. Calculate the common denominator of n and 79\/20.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 914 + -916. What is the nearest to 3 in a, 4, -5, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -568017422*l**2*t - 28*l**2 - 1070632*l wrt t.\nAnswer: -568017422*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m - 44. Let b(p) = -3*p + 45. Let w(o) = -2*b(o) - 3*q(o). Differentiate w(t) with respect to t.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -7\/2 (b) 4 (c) -1.1 (d) -13.7 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.033 and 68798.6?\nAnswer: 2270.3538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 206995260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of b**7\/14 - 1517*b**6\/24 + 4031*b**5\/12 - 17615*b**4\/24 + 2515*b**3\/3 - 2555*b**2. Determine m, given that c(m) = 0.\nAnswer: 2\/3, 1, 503","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*c**2*y**3 - 4*c**2*y + 4*c*y**3 - 24*c*y**2 wrt c.\nAnswer: 46*y**3 - 8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1125 + -1071 - (71 - 3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22440726*c**3 + 21444480*c**2 wrt c?\nAnswer: 134644356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4000\/231 - -158\/11. Calculate the common denominator of (44\/70)\/(2 + (-38)\/10) and s.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269721 is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 13. Let t = h - 12. Let d be t\/(-5) - 90\/100. Which is smaller: -3\/5 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/5, -27.2, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of o**6\/120 - o**5\/60 - o**4\/24 - o**3\/6 - 812*o**2 - o. Let j(v) = -4*v**3 + 5*v**2 + 7*v + 4. Determine -j(a) - 5*m(a).\nAnswer: -a**3 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -22504*0.08\nAnswer: -1800.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 15 = -4*k - 4*x, -3*x = -k + 3. Solve -2*t - k*p - 22 = 0, -2*p - 2*p = 3*t + 31 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -2*l**5 - 20*l**4 + 204*l**3 - 544*l**2 + 566*l - 204 = 0?\nAnswer: -17, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**5 - 21255685*g**3 - 83882*g**2 - 477?\nAnswer: 60*g**2 - 127534110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -457*w + 233*w + 221 = -251*w - 211 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3877 - 3872. Solve -2*j = -6, -2*d = -0*j - s*j + 9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 4*a + 8. Let c be w(3). Suppose c*o = 3*o + 121120. Round o to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 27250 - 17053. Suppose 7*l - p = 9599. Suppose -9633 = -5*t - l. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 95, 192, 289, 386, 483, 580?\nAnswer: 677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13.2 + -1.2. Let x = w - 7. Which is greater: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (140\/(-1400))\/(3\/10)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 1:16 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - h - 6. Let y = 3 + h. Let o be (-1*3)\/(y + 6). Which is greater: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - o**2 + 2 + 7*o**2 - o**2 - 2*o**2 + (-3*o + 2*o + 3*o)*(-5 + 5 - o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-2\/3)*d\/d**(-3\/5)*d*d)\/(((d\/(d**3*d*d))\/d)\/d*d**2\/d*d))**19 assuming d is positive.\nAnswer: d**(2641\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((0\/5*1)\/2)\/(-1). Let n(j) be the third derivative of 4\/3*j**3 + 0*j + 0*j**4 + 1\/30*j**5 + m - 3*j**2. Differentiate n(f) with respect to f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 33 - 37. Solve -3*f = -h*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*m + 3*m - m)*(-2*m**2 + 2 - 2) + 0*m**2 + 2*m**2 - 3*m**2 - 10*m**3 to the form h + z*m**3 + d*m**2 + r*m and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 408 and 1488.\nAnswer: 25296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/7 - 4\/(-14). Suppose -g = 5*t + 38. Let r = t - -14. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-9)\/(-42)*(-2)\/9*6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -8748*j**4\/7 + 1451034*j**3\/7 + 72213684*j**2\/7 + 21300992*j\/7 + 1575488\/7 = 0.\nAnswer: -239\/6, -4\/27, 206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, 50, -19, 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28 + 27. Let x(h) = h**2 - 11*h + 4. Let v be x(11). Suppose -4*p + 18 = 2*n, -p + 3*n - 3 = 10. Put v, p, c in decreasing order.\nAnswer: v, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 3*p - 444, 8*r - 3*p - 681 = 5*r. Calculate the remainder when 4048 is divided by r.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*f + 131*f + 142*f = -348 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 239.3 and -149.\nAnswer: 90.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 5*h + 30, h = 4*c + 5*h + 40. Let v be 0 + 0 + 16 + -14. Suppose -6 = -3*j + v*b + 24, 19 = 2*j - b. Put -3, j, c in decreasing order.\nAnswer: j, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 250\/3 - 106. Find the common denominator of 67\/9 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11629 - 162731\/14. Calculate the common denominator of -59\/48 and s.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3040*s + 6. Let u(p) = 759993*p + 1499. What is 1499*h(t) - 6*u(t)?\nAnswer: -2998*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s + 48 = 7*s - 20*s for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 5 = 5*k - 6*k, 5*k + 4*o = 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(125) + -1.\nAnswer: -1 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-3*sqrt(132) - ((5*-2*sqrt(132) - sqrt(132)) + sqrt(132)))\/(-3*sqrt(1452)*2*-3).\nAnswer: 8*sqrt(11)\/99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -420*t + 908. What is c(2)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 46.1016393 to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8110, -17781, -27442, -37087, -46710, -56305, -65866, -75387?\n\"Answer: n**3 - n**2 - 9675*n + 1565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.20610759 rounded to three decimal places?\nAnswer: 0.206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45 and 380.\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 97 - 96.6. Let u = 2.43 - -0.57. Which is the nearest to 2\/9? (a) u (b) -5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/3*(-30)\/(-360). Let y = -0.4 - -0.3. What is the nearest to 0.1 in 5, z, y?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 83739603.\nAnswer: 83739603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5293671 to the power of 1\/2, to the nearest integer?\nAnswer: 2301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 + 15 + -11.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 409, 829, 1239, 1633, 2005, 2349, 2659?\n\"Answer: -g**3 + g**2 + 424*g - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 600 and 158177784.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5.014917 and 1718062?\nAnswer: 1718067.014917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 - 24 = -11*b. Let x be 6 + (-2 - 1\/b). Solve 3*i + x*a = -7 - 9, -a - 2 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 99838, 99793, 99718, 99613, 99478, 99313, 99118?\nAnswer: 98893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (14 + (-4 - -7) - 11)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -62356 (base 11) in base 5?\nAnswer: -10402212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8115822 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a hour in minutes?\nAnswer: 348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -10 - -7 - -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 1)*4\/(-10) - 16528\/(-1033).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34205473.\nAnswer: 1777, 19249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 19*b**5 - 6)*(-277 + 1617 - 248 + 1909 - 277 + 720).\nAnswer: -65436*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 47?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.152 + 471.848. Let h = b - 472.037046. Let i = h - -0.037. Round i to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*(-2)\/80)\/(210\/(-100)*78\/(-234))?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 - 8. Suppose -23 = -9*y - 95. Let s = y - l. Does 9 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h**2 - h**2 + h**3 - 2*h**2 + 6*h**2.\nAnswer: h**3 - 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20.46079 * 0.08.\nAnswer: -1.6368632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 9 = 1. Suppose 2*y - 74 = 4*t - 8*t, -4*y + 72 = 4*t. Suppose g = -4*i - 3*j + 27, -t = -4*i - j. Solve -14 - 11 = -i*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 396 + -381 + (0 - 1)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1082.12 times 329?\nAnswer: 356017.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 17\/(-45) + (-12)\/180. What is the nearest to 9 in 0, r, 24?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11733476621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 74 + -77. Put 1, 2, 6, i in descending order.\nAnswer: 6, 2, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -11.7 (b) 2 (c) 1\/5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -197*p + 161*p - 756 for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*103595284\nAnswer: 20719056.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 23625.402 minutes?\nAnswer: 393.7567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28314466007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100699?\nAnswer: 100699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -399307, -399143, -398971, -398791, -398603?\n\"Answer: 4*a**2 + 152*a - 399463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/(-2)*(206 + 32). Let w = t - 270. What is the hundreds digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.9 and 3568.\nAnswer: 3568.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 9602117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + u - 7, -u = -k - 0 - 1. Which is the third biggest value? (a) 5 (b) -15\/19 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3304597, 3304609, 3304609, 3304591, 3304549, 3304477, 3304369, 3304219?\nAnswer: 3304021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 3*f - 5. Let g be p(5). What is the closest to g in -0.3, 0.1, 0.08?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*t - 284 = 159 + 307 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1270884408 to the power of 1\/3, to the nearest integer?\nAnswer: 1083","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 34257433501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/(-2))\/(6\/(-21)). Let o(v) = 3*v**2 + 128*v + 20. Let b be o(-43). Calculate the highest common divisor of g and b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -119 - -344\/3. Let m = y + 14\/3. Is m greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12053319 to the power of 1\/2, to the nearest integer?\nAnswer: 3472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 56 (c) -187 (d) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*m + 23. Let c be 3\/(-18)*8*3\/(-5). What is the second smallest value in c, m, -1\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -655.\nAnswer: 65.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 497\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -33 - 2?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of 4*d - 58*d**2 - 1\/6*d**3 - 17\/12*d**4 + 1. What is the first derivative of g(r) wrt r?\nAnswer: -34*r - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -40583, -40589, -40599, -40613, -40631, -40653?\n\"Answer: -2*s**2 - 40581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 85*m**2 + 690*m + 80.\nAnswer: 5*(m + 8)*(17*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -49, -60, -63, -58, -45, -24?\n\"Answer: 4*a**2 - 23*a - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 35 - 77?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -15*h + 18. Let a(j) = 7*j - 9. Let u(k) = 7*a(k) + 3*l(k). Calculate u(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 88\/72 + 4\/(-18)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -14*i - 17. Calculate o(3).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 12*w**2 - 27*w + 22. Let h be z(9). Let k be (-8)\/h - (1 + -9 + 6). Factor 6\/11*d**5 + 0 + k*d**2 + 30\/11*d**3 + 2*d**4 + 4\/11*d.\nAnswer: 2*d*(d + 1)**3*(3*d + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 3) + -3 + -3 - -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8 - 88\/77*7. Sort 5, -3, n, 5\/4.\nAnswer: -3, n, 5\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -32, -45, -56, -65, -72, -77?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*h + 152 + 37. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 265.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -12, -2273, 2 in ascending order.\nAnswer: -2273, -12, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/5*5*(-14)\/105*(-2530)\/(-44)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*d**4 + 188*d**3\/7 - 2346*d**2\/7 - 1664*d\/7 - 40 = 0. What is d?\nAnswer: -7, -2\/5, -2\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -231300553 + -3?\nAnswer: -231301000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/263120 and 127\/198.\nAnswer: 2368080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.1, -2.6, 20.3123?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3\/5, 8\/3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k + 1. Let b be w(3). What is the first derivative of 17*y**2 - 4 - 2*y**b - 17*y**2 wrt y?\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f + 2. Let d be g(-2). Let a = 0 - d. Suppose 3*n = -a*n + 5*s + 34, 4*n = 5*s + 37. Sort -1, 2, n in decreasing order.\nAnswer: n, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 540 and 170180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, -0.294, 4145?\nAnswer: 4145","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21168459.\nAnswer: 3, 13, 6701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + a + 13. Let j be c(4). Let l be 104\/28 + j\/(7\/2). Let s(o) = -6*o + 4*o + l*o + 4*o. Let t(p) = 8*p. Give t(s(x)).\nAnswer: 48*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 16*h**3 - 24*h**2 + 28*h - 20. Suppose 14*g + 11 + 3 = 0. Let k(w) = w**3 - w**2 + w - 1. Let b(s) = g*c(s) + 20*k(s). Suppose b(n) = 0. What is n?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u + 1. Let l = 9 - 13. Let k be 8\/6 + l\/(-6). Suppose 4 = 2*g, 3*b - g = k + 5. What is y(b)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -20006, -79996, -180002, -320042, -500134, -720296, -980546?\n\"Answer: -3*i**3 - 19990*i**2 + i - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**2 + 3*l**2 - 2*l**2 + (5*l - 2*l - l)*(-9 + 9 + 2*l) to the form h*l + p + d*l**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p + 1. Let h be b(0). Let n be (1 - h) + 0 - -20. Calculate the greatest common divisor of n and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/3 + 3644*l\/3.\nAnswer: -2*l*(l - 1822)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 37*j**2 - 62*j**3 - 86 - 74*j + 134*j**3 - 71*j**3. Is r(-35) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 5*w + 1325 - 1452 = 0, -4*k + 46 = 2*w for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence osss when four letters picked without replacement from ksbshkbotskt?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -17, -15, -1, 31, 87?\n\"Answer: r**3 - 5*r - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of -11\/12*k**4 + 1\/20*k**5 + 0 + 28*k + 11\/6*k**3 + 9\/2*k**2. Determine x(10).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -193*d*h + 118*d + 40806*h wrt d.\nAnswer: -193*h + 118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-54)\/11 + 1 + -14 + 18\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ntnnvptmn. What is prob of picking 2 n, 1 m, and 1 p?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(180) + 2)*2 + 3 + sqrt(180)*-2)**2 + (-2*(-1 + 5*(4 + sqrt(180))))**2.\nAnswer: 4560*sqrt(5) + 19493","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 - -18. Calculate the common denominator of (-10)\/40 + ((-735)\/12)\/(-5) and (-2*r\/(-14))\/((-24)\/(-3724)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2000.7 take away 20?\nAnswer: -2020.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 221095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 469*y - 3464 = 465*y. Let b = y + -881. What is the second biggest value in b, -0.5, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -360 + 253. Let z = i - -106. Sort -4, -40\/3, z, 0 in descending order.\nAnswer: 0, z, -4, -40\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*a**2 + 74 - 33 - 41.\nAnswer: 15*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**2 + t**2 + 2*t - 4*t**2 to m*t**2 + l*t + c and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*d**3*q**3 - 7*d**3*q**2*s - 143*d**3*q**2 + 8*d**3 - 970*q**3*s + 2*q*s wrt s?\nAnswer: -7*d**3*q**2 - 970*q**3 + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 148, 1224, 1 in descending order.\nAnswer: 1224, 148, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-5)\/((-60)\/9)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3402041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-2)*(154\/(-4) - 2). Let o = 84 + d. What is the highest common divisor of 3 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 378*n = -1142 - 370. Let k(z) = -13*z - 3. Give k(n).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1365 + 1363. Let h = -17 - -17.3. Put p, -1\/6, h in decreasing order.\nAnswer: h, -1\/6, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4781?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/9)\/(q\/((q*q*(q\/q**7*q)\/q)\/q)))**(-8)\/(((q**(-6)*q)\/q**(-4))\/(q**(3\/4)*q*q*q*q*q*(q\/(q*q*q\/q**(4\/5)))\/q)) assuming q is positive.\nAnswer: q**(9299\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 3 - 1. Suppose 7 = x*y + 3. Let f be 4 + 0\/(-1*2). Solve k + f = y for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -t**5 - 37*t**4\/3 - 13*t**3 + 19*t**2 + 22*t\/3 = 0?\nAnswer: -11, -2, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04246396289 to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -102, -79, -58, -39, -22?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of s**3\/3 + 3*s**2\/2 - 1. Let c(h) = h**3 + h - 4. Let r be c(0). What is the units digit of w(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-21\/2)*b*(((b\/(b*b*b**(-1\/30)\/b*b*b*b*b))\/b)\/b)\/b)\/(b\/(b**(-4\/9)\/b)*b)**35 assuming b is positive.\nAnswer: b**(-6166\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6163771083 to the nearest integer?\nAnswer: 1834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2130192402 to the nearest integer?\nAnswer: 46154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.285 + -0.285. Let b = 160\/1001 + 2\/91. Which is bigger: b or n?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72054*y + 12339*y - 31642*y.\nAnswer: -91357*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 47325.875 and 0.4?\nAnswer: 18930.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 959985?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-143)\/(-39)*1506 + 13.\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 8*z**2 + 10*z + 4. Let p be w(-9). Let o(x) = 6*x**2 + x - 12. Does 17 divide o(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50 - 130*m - 141*m + 50 + 411*m - 125*m.\nAnswer: 15*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 33*b**2 + 111*b + 390. Determine h(-26).\nAnswer: 2236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -175120, -700476, -1576070, -2801902?\n\"Answer: -175119*x**2 + x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -6. Let t(y) = -y + 2. Let b be t(d). What is the units digit of b - 42\/(-3) - -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17*g**3\/2 - 51613*g**2\/8 - 26151*g\/4.\nAnswer: -g*(g + 758)*(68*g + 69)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -q + 4, -b - 6*q = -q - 20. Is 26 a factor of (-2 + b)\/(3\/852*-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2a1846 (base 12) to base 5\nAnswer: 140123313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110011 - 11?\nAnswer: 110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 173675\/126 + -1378. Calculate the common denominator of n and -113\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(2\/5)\/w)\/(w*((w*w**0)\/w)\/w))**(1\/2)*((w*w**6)\/((w**(2\/3)*w)\/w))\/(w**(-1\/4))**(-32) assuming w is positive.\nAnswer: w**(-22\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-891)\/891)\/(-5*1))\/((-4)\/620)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 617, 1234, 1851, 2468, 3085?\n\"Answer: 617*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 219, 53, -413, -1329, -2845, -5111, -8277?\n\"Answer: -25*d**3 + 9*d + 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*u + 145*u + 8 = -i, -5*u - 16 = -3*u - 6*i for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 4*b**2 + b - 2. Let v(h) = 10*h**2 + 6*h. Let x(n) = -21*n**2 - 13*n - 1. Let i(y) = 7*v(y) + 3*x(y). Let j(r) = 3*i(r) - 5*t(r). Is j(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10185912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -19, -17, -11, -1, 13, 31?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxrr when four letters picked without replacement from rrrrxxr.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.059, -6.39, -1?\nAnswer: -6.39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.049 - 20.049. Let i = -20.4 - x. Let f = 0.4 + i. What is the closest to -1 in 3\/2, 0.2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 177585496?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 10*s**2 + 16*s - 286. What is the remainder when 1890 is divided by y(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92523180 a multiple of 340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 1 = f + 2, 0 = -f + n + 7. Suppose f*c = -0*c. Let d = -252 - -251.8. Put c, -0.07, d in descending order.\nAnswer: c, -0.07, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**2. Let s(j) = -14*j**2 + 18*j - 148. Calculate s(q(z)).\nAnswer: -56*z**4 - 36*z**2 - 148","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2033 (base 4) to base 14\nAnswer: -a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -137, -145, -167, -209, -277?\n\"Answer: -s**3 - s**2 + 2*s - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.01 - -2. Let x = -0.02 + o. Let n = x + 0.0328. Round n to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2475364478 to the power of 1\/2, to the nearest integer?\nAnswer: 49753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 494662518?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-624)\/(-64) - 9)\/(-9)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of o**4 + 7156*o**3 + 17115*o**2 wrt o?\nAnswer: 24*o + 42936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -56*f**3 + 5*f**2 + 116*f**3 + 1 - 59*f**3 - f. What is the units digit of w(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21.15 + 27.15. Let f = -12 + 18. Suppose 4*r + 3*g = 16, -4*g + 14 + f = 5*r. What is the closest to 1 in v, r, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00343745253 rounded to five dps?\nAnswer: 0.00344","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 73787 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -446 or -445?\nAnswer: -445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 1034*p. Let b(y) = 28*y**2 - 4*y - 2. Let w(m) = -213*m**2 + 30*m + 15. Let r(v) = -15*b(v) - 2*w(v). Calculate s(r(q)).\nAnswer: 6204*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 199264.3 minutes to nanoseconds.\nAnswer: 11955858000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -18*(-22)\/12*2. Let h be (7 + 13\/(-2))\/(4\/3744). Suppose -3*y = v - h. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 30*k**3 - 3*k**2 - 4*k + 2. Calculate u(-2).\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 3:52 PM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3925056 divided by -6\nAnswer: 654176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -5. Let z be ((-1)\/3)\/((-5)\/(-15)). List the prime factors of z\/(129\/(-42) + i).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a microgram in nanograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by 396.\nAnswer: -13\/396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*m - 27. Let t be 0*(3 - (-32)\/m). Let x be ((-97600)\/(-3) + t)*-375. Round x to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 8*y**2 + 2. Is 5 a factor of r(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - n = 4, -20 = -4*u - 3*n + 7. Let x = u - -1. What is the tens digit of 36 - ((-5 - -3) + x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 513260502 and 21298.\nAnswer: 513260502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 8*b**2. Let h(s) = -54 + 7*s + 54 + 10*s. Calculate o(h(z)).\nAnswer: 2312*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b**2 + 81*b + 4. Let d be s(-27). Suppose -3*o = d*r, 9*o - 6*o = 3*r. Solve 3*f - 6 + o = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5052*u**2 - 2451*u wrt u.\nAnswer: -10104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (11\/((-198)\/60))\/((-1)\/6). Let j = r + -18. Solve j + 0 = i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117312787 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -865*m + 820*m - 450 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, s: 3}. Give prob of picking 1 s and 3 b.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5*a = 30. Solve -5*u - 15 = a for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*i - 580500 = i - 4*i. Is i a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -33? (a) -137 (b) -19 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -561 + 565. Sort 0.05, h, 2\/9.\nAnswer: 0.05, 2\/9, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -80325*g + 1445847. Give z(18).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 460146489 from -5920.7.\nAnswer: -460152409.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -79 + 239\/3. Let h be (10\/(-4) - -3)*0. Let j be ((-12)\/144)\/((-2)\/4). What is the nearest to h in 5, l, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 244130.292 minutes to weeks.\nAnswer: 24.219275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6757296 micrometers to centimeters.\nAnswer: 0.00006757296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4*l**2. Let y(j) = 32*j**2 - 27*j**2 - 155*j + 155*j. What is y(p(a))?\nAnswer: 80*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/387 and -10\/2193.\nAnswer: 6579","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3201485 is divided by 640294.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -10*x. Let j be 190\/(-45) - ((-2)\/9 + x). What is the tens digit of ((-14)\/j)\/7 + 174\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b**2 - 2*b - 14. What is the lowest common multiple of a(3) and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -19*l + 1. Let d be ((-5)\/10)\/(24\/(-48)). Calculate t(d).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 7:18 PM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 284888.\nAnswer: 2, 149, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + (1 - 0) - 1. Let z(k) = -k**3 - 2*k**2 - 3*k - 2. What is the lowest common multiple of 1\/(0 - f) - -7 and z(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1068 - -1071. Solve q - h = 5*l + 21, 2*l - 12 = -5*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aeeeqaeaqeaeaee. Give prob of picking 2 q.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*b = -3. Suppose j + 3*t = 8*t + 58, 0 = 2*j - 2*t - 76. Let w = j + b. Does 13 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 84.093514187.\nAnswer: 81.093514187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 148.0146 + -148. Round q to three dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 17*m**2 - 85*m - 22. Determine o(-21).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*g**4 + g**4 + 2*g**4 + 0*g + 0*g - g**4 + (0*g - 2*g + g)*(-2*g**3 - g + g) in the form h*g**2 + x*g + r*g**3 + v*g**4 + s and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2 + 3*(sqrt(832) - 5*(sqrt(832) + 0))))**2 + -1.\nAnswer: -384*sqrt(13) + 119811","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2808 and 343629.\nAnswer: 2749032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 14949.\nAnswer: -5\/14949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10\/40)\/((-3)\/(-36)). Let s = 119 - 122. Put s, -2, c, -13 in descending order.\nAnswer: c, -2, s, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -79, -334, 2 in descending order.\nAnswer: 2, -79, -334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 6:18 PM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/6*(-32)\/(-2560)*120?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 110904041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2148?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -10 - (-56 - -58).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/16 + 0)\/(-6). Let c be -2 + (1\/2)\/(6\/12). Which is bigger: k or c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -r + 30. Let t = r - 4. Suppose -t*n - n + 18 = 0. Let w(b) = b**2 - 5*b - 6. Determine w(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27\/(-12)*672\/(-63) and 210.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 117.30141 months?\nAnswer: 0.097751175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -2\/7*z**3 + 6\/7*z**2 + 0*z - 8\/7 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.1 + -3. Let o = 7 - 5. Let v = -1.8 + o. Sort n, v, -2\/3 in decreasing order.\nAnswer: v, n, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 + -14. Solve -4 = m*j + 6 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**3 + 71182*z**2 - 925100*z + 2561616 = 0. What is z?\nAnswer: 4, 9, 35578","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 2\/7, -53\/14, 1017\/13?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*p**3 - 35*p**2*v + 125*p*v - 4*p + v wrt p?\nAnswer: -18*p - 70*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224 - 42 = 7*w. Let f be w*(9 - (2 - 1)). Let b = f - 116. Calculate the remainder when b is divided by 27.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2126.641um in nanometers?\nAnswer: 2126641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -114316, -114324, -114332?\nAnswer: -114340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -2\/3*h**5 + 35\/6*h**3 - h**2 + 0*h**4 + 0*h + 0. Find the first derivative of u(p) wrt p.\nAnswer: -80*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36769 and 1743?\nAnswer: 772149","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**2. Let f(n) = 2*n**2 - 6*n**2 - 2*n**2 - 10*n**2. Determine a(f(w)).\nAnswer: -512*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -18*y - 15. Let m be z(-1). Which is bigger: m or 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*n = -22*n - 2*k + 10672, -5*k + 16014 = 3*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -10. Suppose 2*p + y*p = 3*s + 1529, 4*p + 5*s = 1537. Calculate the remainder when p is divided by 55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 15*u**2 - 14*u - 12. Let a be p(14). Suppose 1224*f = 1212*f + 180. What is the least common multiple of ((-3)\/6 - 1)*a and f?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 344 = -5*x + t + t, -4*x = t + 283. Let v = -36 - x. Find the second derivative of -2*p - 34*p**2 + 7*p**3 + v*p**2 wrt p.\nAnswer: 42*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17708, 35339, 52888, 70355, 87740?\nAnswer: 105043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 26 = -78. Let f(v) = 4*v + 16 - 3 - t. Let a(w) = 2*w**2. Calculate f(a(r)).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 54*o - 109*o + 7865. What is the greatest common factor of o and 275?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 378 = 3*g. Let l = g + -134. Suppose 4*b + r - l = 0, -b - 2*r + 21 - 9 = 0. What is the highest common divisor of b and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30271952?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a*a*a**(-5)*a*a*a*a\/(a**2\/a)*a*a assuming a is positive.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of n**7\/56 + 33*n**6\/40 - 3*n**5\/40 - 33*n**4\/8 + n**3\/8 + 99*n**2\/8 + 4*n. What is j in p(j) = 0?\nAnswer: -33, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 106 divided by -5\nAnswer: -106\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8396, 16764, 25092, 33374, 41604, 49776?\nAnswer: 57884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {i: 4, l: 1, t: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -257145 divided by -2449\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002382291 rounded to 6 dps?\nAnswer: -0.002382","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 39*c**2 + 40*c + 5. Let n be u(-40). Solve -i - h + 2 = 4, -2*i + n*h = -31 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/72 and 17\/540?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4143 + 33134?\nAnswer: 42332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1896146312 divided by -1\nAnswer: -1896146312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.32 + -2.48. Let j = -32659 - -65317\/2. Which is the second smallest value? (a) j (b) m (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*m**2 + 13 - 39*m**2 - 13.\nAnswer: 11*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u + 3*u - 5*u)*(-3 - 3 - 1)*(7*u**2 + 0*u**2 - 2*u**2) to w + p*u + y*u**3 + l*u**2 and give y.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3270275 (base 9) to base 2\nAnswer: -110101101010101110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 5*j - 1. Let i be c(4). Let l(k) = -12*k - 2 + 1 + 11*k + 0 + 0. Let v(n) = -2. Let o(m) = i*v(m) - 3*l(m). Give o(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/73)*i*i)\/i)**(-24) assuming i is positive.\nAnswer: i**(-1800\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 1 = -6*x. Which is the closest to x? (a) -0.1 (b) 2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.41215ml in litres?\nAnswer: 0.07941215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -2*i**2 - 68*i + 28. Let g be m(-17). Is g at most as big as 2\/153?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -103, -61 in descending order.\nAnswer: -1, -61, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) -0.3 (c) -1\/6 (d) 164770 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*r**3 + 68856*r**2 + 3*r + 3082 wrt r?\nAnswer: -12*r + 137712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 + m**2 + 15 - 6 + m - 2*m**2 + 3 as l*m + b*m**2 + g and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(80)*-1 - sqrt(5)) + sqrt(5) + 3)*6 - (-4 + sqrt(5)*-1 - (-3 + sqrt(5) + 3)))**2 + -5.\nAnswer: -968*sqrt(5) + 2899","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45624611789 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/3)\/v**8)\/((v\/v**2)\/v)**(-3\/17) assuming v is positive.\nAnswer: v**(-443\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5*(sqrt(425) - (sqrt(425) + 0)) + sqrt(425) + sqrt(425) + 1.\nAnswer: -1 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-9)*(224 - 221). Which is the nearest to r? (a) -2 (b) 5\/4 (c) -2\/47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 2*v + 6*v = 5, -20 = 3*x - v for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42541?\nAnswer: 19, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t\/t**1)*t))**(-4\/5))**17\/((t**1)**20*t\/(t*t**(1\/3)*t*t)*t*t**(-2)) assuming t is positive.\nAnswer: t**(-46\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 72634 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(4)*-1) - ((2*sqrt(90))\/sqrt(10) - sqrt(9)))\/(-3*(sqrt(3) - ((3*sqrt(300) - sqrt(300)) + sqrt(3)) - sqrt(3))).\nAnswer: -2*sqrt(3)\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1885821 - 1176314. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 2*x**2 - 2*x - 10. Let q(k) = 2*k**3 - 5*k**2 + 4*k + 21. Let a(n) = -6*q(n) - 13*w(n). What are the prime factors of a(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -r - 13, -3*d - 281 + 257 = 3*r for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 - 60 = 10*j. Is 1 - (-9)\/j - 18657\/(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 3\/7596179?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 21 = -3*l + 2*r, l + r = -1. Let x(g) = 7*g**l + 1 - 8*g + 34*g - 6*g - 2*g**2. Let t be x(-4). Solve -2*i + 3 + t = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -82 + 79. What is the remainder when 19 is divided by c\/(-4) - -1 - 9\/12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 4 = 3*a - 6, -5*w - 7 = -a. Let c = a - -2. Suppose 0 = -2*g + c*g. Solve -u + 1 = -g for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1540 and 2590.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28801729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2727140815?\nAnswer: 5, 7, 11131187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 80155729?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 720*n**2 + 36*n + 121. What is the hundreds digit of s(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/((-2380)\/(-794) + -3). Suppose -1913 = -14*d + g. What is the highest common factor of 66 and d?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of -l**6\/3 - 3*l**4\/2 - 10*l. What is the third derivative of w(t) wrt t?\nAnswer: -240*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (2 + 6 - 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-16)*(5 + (4 - 3)). Put 5, k, 0 in descending order.\nAnswer: 5, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/5 + 39173214*z**2\/5 + 191817371433366*z\/5 - 2109995825728582\/5.\nAnswer: 2*(z - 11)*(z + 9793309)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of f**5\/20 - f**3\/6 + 7*f**2\/2 - 4*f. Let y = -1 + 1. Calculate o(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6681467813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3\/3 - 472*b**2\/3 + 5132*b\/3 - 4664\/3.\nAnswer: 4*(b - 106)*(b - 11)*(b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3472314 (base 8) in base 4?\nAnswer: -3213103030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 13156?\nAnswer: 13162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 0*f - 2\/15*f**3 - 2\/5*f**2 - 1. Factor v(t).\nAnswer: -2*t*(t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1151, 933, 733, 557, 411, 301, 233?\nAnswer: 213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.242116715 to 1 decimal place.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 21*l**2. Let i(g) be the second derivative of -g**4\/4 + 24*g. Give i(s(x)).\nAnswer: -1323*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -24e4885?\nAnswer: -24e4880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -195.9316 - -196. Let m = -0.01 + -0.06. Let k = n + m. What is k rounded to 4 dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 10:00 PM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 2*s**2 + 5 + 3*s**2 - 3*s**2 + 2*s. Let w be a(0). Solve 0 = -w*q - 3 - 17 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -9\/2989?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(5\/6))\/(z\/(z*z**(1\/4)))*z**(-5\/3)\/z**(-16))**11 assuming z is positive.\nAnswer: z**(649\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of 3*u**5\/20 - u**4\/6 + 5*u**3\/6 + 18*u. Let w(k) = -2*k**3 + 2*k**2 - 4*k. What is -5*w(t) - 4*x(t)?\nAnswer: -2*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -52875 and -227.\nAnswer: -53102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1464448 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2322537 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 9*h**2 + 6*h - 15. Suppose -10 = p - 5, -r + 3*p + 23 = 0. Let q be l(r). Let g = q + 69. Calculate the remainder when 151 is divided by g.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaa. What is prob of picking 2 a?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 992627 at most 992626?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 0.46 (c) 0.5 (d) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1050113 a multiple of 205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 911*x**2 + 3*x + 2. Let d be w(-2). Suppose -7*q + d = 6*q. Is q a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -8 (b) -2 (c) 1\/9 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, a: 7}. Give prob of sequence pppp.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-816)\/(-32)*(-56)\/(-6) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 4*w - 5. Suppose 10*k - 485 = w*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 9*u**2 + 487*u + 158. What is o(-54)?\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 314.9997542 - 315. What is t rounded to five decimal places?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tgttgtttttg. Give prob of picking 2 t and 2 g.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50 and 55?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 8. Suppose s - 4*h = 2, -4*h - 105 = -5*s - f*h. What are the prime factors of s?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1799762*t**2 + 8938*t + 872?\nAnswer: -3599524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -7\/10*h**4 + 11\/10*h**2 + 0*h + 3\/10*h**5 - 2\/5 - 3\/10*h**3 = 0. What is h?\nAnswer: -1, -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2143805, 2143803, 2143789, 2143757, 2143701, 2143615?\n\"Answer: -p**3 + 5*p + 2143801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of l**2 - 266*l + 528. Let o(m) = -m**2. Determine s(o(i)).\nAnswer: -2*i**2 - 266","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 228 and 282898?\nAnswer: 32250372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.26 - -6.46. What is the third biggest value in -30, u, -1?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) -2\/13 (b) -12 (c) 5 (d) -446 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14\/(-77) - (-444)\/22. Suppose -5*s + 1 = 21, -3*m - 4*s + 284 = 0. Calculate the greatest common divisor of m and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*x + 768 = 15*x. Let q be (5 + 2)*(-54)\/(-7). Let g be ((-5855613)\/q + 6\/(-27))*x. Round g to the nearest one hundred thousand.\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -6072*j + 6069*j + 4*u, 0 = -j - 3*u - 7 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-96*j**3 - 9*j + 95*j**3 - 26*j)*(0 + 0 - 4) as k*j**2 + o*j + d*j**3 + h and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 0*b**2 - 5*b**3 + 6*b**2 - 2 + 4*b**3 - b. Let h = 6 + -9. Let r(z) = 2*z**3 - 11*z**2 + 2*z + 3. Let m(g) = h*r(g) - 5*w(g). Calculate m(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -248 by -9919.\nAnswer: 248\/9919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1858250 is divided by 203.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, m: 17}. Give prob of picking 2 m and 2 n.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-8))\/((-9)\/(-3))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**2 + 12*b - 16. Give m(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 444782494?\nAnswer: 2, 13, 787, 21737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.6 - -0.1. Let p = -13.77 + 14.07. Which is the closest to 5? (a) p (b) q (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a. Let x(l) = l - 162*l**2 - 288*l**2 + 692*l**2. Determine x(u(q)).\nAnswer: 968*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(4840)*1 - sqrt(4840))\/(1*sqrt(288)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 4*r**2 + 9. Determine y(-6).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 6567*i + 124791. Calculate a(-19).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**3 + 39*s**2 - 17*s - 15. What is the thousands digit of u(11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*h + 13*h + 8*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -1. Let l be 0 + (2\/3)\/((-2)\/(-210)). Let i = -66 + l. What is the closest to z in 3\/8, i, 5?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 7:42 AM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -8, 0 = -2*f - 3*j + 10 + 20. What is the third derivative of 5*u + 18*u**4 + 21*u**4 + f*u**2 - 5*u wrt u?\nAnswer: 936*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ndmn when four letters picked without replacement from iindinixmdinxndd?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2889777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2297\/4 or -573?\nAnswer: -2297\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 900891?\nAnswer: 3, 31, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -361, -772, -1291, -1972, -2869, -4036?\n\"Answer: -9*f**3 - 348*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -u - 1. Let b = -4 - -7. Calculate the remainder when b is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rltlrttrrqqltttlrtl. Give prob of picking 1 q, 1 l, 1 r, and 1 t.\nAnswer: 175\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -464, -438, -414, -392, -372, -354?\n\"Answer: -i**2 + 29*i - 492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/4 (b) 6 (c) 7179080\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-26) - (1 + 141\/13). List the prime factors of -300*(-3)\/u*-2.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 99*m**3 - 7*m**2 - 550*m + 3. Let i(l) = 196*l**3 - 13*l**2 - 1099*l + 5. Let v(g) = -3*i(g) + 5*r(g). What is the second derivative of v(q) wrt q?\nAnswer: -558*q + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/7*-13*(-30)\/(-975) + 3776\/112.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38111\/35 - -1089. What is the common denominator of u and (-3 - (-143)\/77)*-5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 121.71466 - 0.7\nAnswer: 121.01466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -17*h**3 + 4*h**2 - 7*h. Let g(s) = 6*s**3 - s**2 + 2*s. Give 14*g(a) + 4*x(a).\nAnswer: 16*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nh when two letters picked without replacement from hfnf?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 193 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42 + -53. Let u(s) = 44*s + 15. Let q(k) = 22*k + 7. Let w(b) = o*q(b) + 6*u(b). What is the units digit of w(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6612053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 68\/20 + 14\/(-10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -225 + 3\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/564 and ((-41)\/15)\/(42\/(-9)*(-1692)\/(-63))?\nAnswer: 5640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 431237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**2 - 37*y - 16. Let n be h(-18). Suppose 4 = -n*v, -2*s + 40 = v - 6. Which is smaller: 2 or s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 696*j - 91336 = 682*j. List the prime factors of j.\nAnswer: 2, 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18\/45 - (-14)\/(-10). Suppose 3*j + 64 - 199 = 0. Calculate the remainder when j is divided by r\/(-4) - (-182)\/8.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7553616 and 336.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - 4*x + 3. Let v be c(3). Let o = v - -4. Suppose o*r = 3*k - 44, 0 = 2*k + 3*r - r - 48. What is the smallest common multiple of k and 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of 9*l**2 + 1\/180*l**6 - 1\/36*l**4 + 0 - 1\/45*l**5 + 0*l + 2\/9*l**3. Let s(r) = 0. What is r?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t*t*t**(-25\/2)*t)\/t)\/(t*t**16))\/((t*t**(8\/3))\/t*t\/t**(-2\/129)) assuming t is positive.\nAnswer: t**(-7787\/258)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 6*z. Let t be (0 + z)\/(4\/(-4)). Suppose t = j - 2*j + 12. Does 6 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 11) to base 5\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 223247*w - 4688189. Calculate i(21).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 2*b = -0*b - 8, 0 = -v + b - 3. Let y be (-11 + (v - -11))*-5. Solve y*h = 2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -238, 5, -5597, -7 in decreasing order.\nAnswer: 5, -7, -238, -5597","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*z - 175515 = 13*z + 537285. Is 24 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -286946, -1147196, -2580740, -4587572, -7167686, -10321076, -14047736, -18347660?\nAnswer: -23220842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from opzpoppozoopzoi. What is prob of picking 1 o and 2 z?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -4, -32, 24 in descending order.\nAnswer: 24, -4, -7, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 949405902*m**4 + 630823501 with respect to m.\nAnswer: 3797623608*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -15*q**2 + 16*q**2 - 5*q + 4*q + 2 + q**3 - q. Calculate the remainder when 28 is divided by p(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(((3*sqrt(88) + sqrt(88))*2 - sqrt(88)) + sqrt(88)))\/((sqrt(8) + sqrt(8) + (sqrt(968)*1 - sqrt(968) - sqrt(968)))*3).\nAnswer: -8*sqrt(11)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3\/2 + 15345*w**2 + 799461*w\/2 + 2599896.\nAnswer: -3*(w - 10256)*(w + 13)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {o: 3, f: 6, l: 8, t: 1}.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 646*q**3 + 2*q + 143 wrt q.\nAnswer: 3876*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 10, d: 2, r: 3}. What is prob of picking 1 d and 1 f?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-562 - -584) + (0 - (-29 - 4 - -5))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7580 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 6*g**2 + 10*g + 1. Let z(j) = -34 - 3*j + 124 - 2*j**2 - 90. Let a = 11 - 4. Calculate a*z(o) + 2*s(o).\nAnswer: -2*o**2 - o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -497*d**3\/6 - 762*d. Let q(u) = 4*u**2. Calculate g(q(p)).\nAnswer: -1988*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/3 and -109\/51758?\nAnswer: 155274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -141*b**5*s**2 - 84*b**3*s**2 + 2*b**2*s**2 - 157*b + 14*s**2 wrt b?\nAnswer: -8460*b**2*s**2 - 504*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2122671323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/14)\/(14\/(-49)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108683744?\nAnswer: 2, 13, 137, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -160 - -170. Suppose n*k - 203 + 3 = 0. Calculate the highest common factor of k and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 4*d - 18 = 6*b, -3358*b + 18*d = -3362*b - 66 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42.896 + 0.104. Let s = 28 - z. Let m = s - -15.000045. What is m rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/8 + 21\/(-4))\/(-1). Suppose y + 3 = 0, j*t - 10*t = 5*y - 125. Calculate the highest common factor of t and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = n - 11. Let g(l) = -4*l + 2. Let c be g(-4). Let q be 12\/c + (-625)\/(-3). Calculate the highest common divisor of n and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6045 divided by 5\nAnswer: 1209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -13, -14, 7, 62, 163, 322, 551?\nAnswer: 862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2060?\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*w = c - 17, -11 = -5*c + w. Suppose 0 = -q + c*q - 1668. Suppose 2*j + q = 8*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 divided by -118?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -4355.062 to the nearest one hundred.\nAnswer: -4400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**2 + 4. Let q(r) = -r**3 - 3*r**2 - 2*r - 4. Let o be q(-3). Suppose -4 = -4*a + 4. Let b(h) = 0*h + 3 - a + h. Give o*b(m) - f(m).\nAnswer: -2*m**2 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*l - 327 - 123. Let r = 78 + l. Find the common denominator of -2 - (-97)\/r*2 and -37\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 9}. What is prob of sequence uuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 19 = g - 20, -3*y + 30 = g. Let c = 3 - y. Let r be (130\/15)\/((-4)\/c). Calculate the greatest common divisor of 117 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17929344.\nAnswer: 2, 3, 46691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 8)*(-p**2 - p**2 + 0*p**2)*(18*p - 29*p - 8*p + (2 + 1 - 1)*(p + 2*p - p)) to the form n*p + o*p**2 + v*p**3 + x and give v.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 2. Suppose -u*n - 31 - 94 = 0. What is the remainder when (-385)\/n - 4\/10 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10c01 + -8c1?\nAnswer: 10320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + 8\/(-5) + 6\/(-15). Suppose t = 3*k - 2*j - 1494, 248 + 245 = k + j. Suppose -4*b + 4*i + k = -772, -5*b = 3*i - 1585. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1018 is divided by 144?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16667*n**3 - 10*n**2 - 67000*n**3 - 44582*n**3 - 8*n**2.\nAnswer: -128249*n**3 - 18*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/14)\/((-12)\/(-840)). Let w be ((-2)\/(-8))\/(17\/(170\/s)). Which is the nearest to 10? (a) w (b) 0.2 (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d**2. Let p(z) = -47*z**2 + 15*z. Let u(v) = 2842*v - 1418*v - 45*v**2 - 1412*v. Let m(x) = -4*p(x) + 5*u(x). Determine m(s(w)).\nAnswer: -333*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 6*j + 1. Let x be b(-6). Let k = x + -1. Suppose k = 4*c + c - 270. What is c rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/6 and 11\/476?\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fq when two letters picked without replacement from ccafqammfafmfmmfaa?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3159316 - 0.316. Round p to 6 dps.\nAnswer: -0.000068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -434173, -434168, -434163?\n\"Answer: 5*m - 434178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, k: 5, s: 5}. Give prob of sequence jkjs.\nAnswer: 5\/1188","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of 0*r + 0*r**3 + 4 - 1\/2*r**4 - 1\/5*r**5 + 0*r**2. Solve h(p) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47851 (base 10) in base 11?\nAnswer: 32a51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 10. Suppose -v + 2*v + 3 = d. Does 33 divide (2 + 32 - v)*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 252\/935?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39119594.\nAnswer: 2, 19, 43, 89, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 194*a**2 + 567*a + 4078. Calculate t(197).\nAnswer: -650","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8*-2*3\/6)\/(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**4 - 4189*f**3 - 5406759*f**2 - 1985700231*f + 10064194380 = 0. What is f?\nAnswer: -1779, -636, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(170)*-2)\/sqrt(10) + 1)**2.\nAnswer: -8*sqrt(17) + 273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5095.84433 - 5096. Let n = -0.156 - o. Round n to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1484 + -1484.0797. What is t rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-15)*g**6*(g*g\/g**(-3\/13))**(-42) assuming g is positive.\nAnswer: g**(-1335\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 10, 14, 18, 22?\n\"Answer: 4*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*f + 61*f = 20. Find the third derivative of r**4 + 5*r**2 + r**4 + 0*r**4 - 5*r**f wrt r.\nAnswer: -300*r**2 + 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 - ((-5 - -34) + 6) - (-16 + 1 + 2).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1.9353972 months?\nAnswer: 0.01612831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 17*u**2 + 22*u + 9. Let o be w(-16). Let z = o - -2140. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 2*t + 2*t**2)*(2*t**2 + 0*t**2 + 0*t**2)*(-7 + 7 - 2*t) + 2*t**5 + 13*t - 13*t.\nAnswer: -6*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1794.347 + 1759.4. Let a = k + -0.053. Let z = -22 - a. Which is greater: 2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 4*s**2 - 5 - s**2 + 0 to c + q*s + n*s**2 and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.02825 + 0.12825. Sort d, 306, -5.\nAnswer: -5, d, 306","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 2658082, -5 in decreasing order.\nAnswer: 2658082, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 5*v**2 + 453*v + 1114. What is y(-88)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**5\/11 + 38*o**4\/11 - 4*o**3 - 80*o**2\/11 = 0. What is o?\nAnswer: -20, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -32*j**4 + 152*j - 1470. Differentiate z(g) wrt g.\nAnswer: -384*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23518?\nAnswer: 2, 11, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*v - o - 14, -4*v = 2*o - 22. Let d(s) = 3*s**2 - 5*s + 3. What is the remainder when d(v) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2600) - (sqrt(2600) - (1*sqrt(2600) - sqrt(2600))))\/(1*sqrt(242) - sqrt(242) - sqrt(242)) - (((sqrt(832) - sqrt(832)*1)*-1)**2 + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-10) - 558\/(-45). Solve 3*y = f - 4 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*j**2 - 13*j**2 + 13*j**2)*(96*j - 226*j - 49*j - 254*j).\nAnswer: 6495*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n. Let b be p(9). Let l = b + -3. Solve 3*a = l*a + 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -5. Calculate the smallest common multiple of (16\/(-6))\/(v\/(-3)) and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**2 - 11 - 84 - 18*j + 0*j**2 + 23 = 0. Calculate j.\nAnswer: -3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 919215163 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**5 - 3*r**5 + r**5 + (52*r**3 + 61*r**3 - 77*r**3)*(0 + 0 - 2*r**2) + 2*r - 2*r**5 - 2 - 2*r.\nAnswer: -73*r**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 - 4*p - 8. Suppose 2*m - 24 = -2*m. Let u be y(m). Is 3\/u + 162\/8 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -25\/3, -1\/4, -3 in ascending order.\nAnswer: -25\/3, -3, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 58286 - -0.5\nAnswer: 58286.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 39128e - 3?\nAnswer: 39128b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1069.20269 to the nearest 10.\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*r + 13. Suppose -o + 5*y + 7 = -r*o, 5*y = 2*o + 13. Let v(b) = -b**2 - b + 5. Determine v(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -127 + 3*s**2 + 127. Let f(l) be the third derivative of l**4\/6 + 4*l**2. What is i(f(m))?\nAnswer: 48*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2057337?\nAnswer: 3, 228593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42 - -29) + (5 + -1 + 4 - 23).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 10*d**2 - d + 23. Let w be g(10). Let r = w - 13. Solve r*m = m + 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 6*m**3 - 3*m**2 + m. Let r be x(2). Suppose 2*q - r + 10 = -2*w, -106 = -5*q + 4*w. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18486927661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 1020412243014?\nAnswer: 1020412243004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7186, -27779, -61784, -109201, -170030?\n\"Answer: -6706*v**2 - 475*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 384 and 336.\nAnswer: 2688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2269 + 1.7731. What is the third smallest value in 0.4, w, -44?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -4\/9 (c) -17 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 384\/(-5568) + (-220)\/174.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5736775\/3 less than -1912259?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.722 + -0.278. What is the closest to -5 in -1, -2\/7, -2\/9, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.033? (a) 2\/9 (b) -2\/19 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 5, 0.5, -246, 0.01, 14, 12, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -725909.0653295 + 5.\nAnswer: -725904.0653295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -9*k**2. Let w(l) = -102*l + 104*l + 73*l. Calculate w(x(z)).\nAnswer: -675*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does -5.4 = -38.29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 774125573 to the power of 1\/5, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4 + 1 - 3)*(2 - 2 - 3) - 4 + 3 - 2 + (2 - 4 + 1)*(0 - 1 + 0))*(-8*r - 13*r + 3*r) as n*r + d and give n.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -379*j + 14*b = -375*j + 4, 15 = -15*j - 2*b for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*3\/13)\/(108\/(-72))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) - sqrt(320)*1)\/sqrt(10) + -4 + (1*sqrt(98) - sqrt(98)))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) 5688 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/433291612 and -79\/52.\nAnswer: 433291612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -13, -26, -39, -52?\n\"Answer: -13*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 432 and 756.\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 344.703 centuries to months.\nAnswer: 413643.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55162.9 micrograms to grams.\nAnswer: 0.0551629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0047229669 rounded to six dps?\nAnswer: 0.004723","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -5\/2*d**4 + d**3 + 40*d - 2*d**2 + 203. What is the second derivative of s(y) wrt y?\nAnswer: -60*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -49963, -49966, -49979, -50008, -50059?\n\"Answer: -y**3 + y**2 + y - 49964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -24*r + 20. Let f = 39 - -13. Suppose 4*v = f + 28. Let j(u) = u - 1. Let o(l) = v*j(l) + w(l). Let a(m) = -5*m. Calculate a(o(p)).\nAnswer: 20*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d + 20. Let x be t(-8). Solve -i + 4*r - 22 = -r, -x*i + r = -7 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 792538343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9520 - 123.\nAnswer: -9643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3082106 and 790?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 - (-9 + 8) - 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ubuuuuubbubb. Give prob of picking 2 b and 1 u.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 490 = -6*n. Suppose -4*c = 4*f + 1088, 1364 = -7*c + 2*c - f. Let h = c - n. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*n - 12 = 81*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28024812 and 2952.\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**11\/h)**(13\/5)*h**(-1\/6)\/(h*h**(-14)*h) assuming h is positive.\nAnswer: h**(227\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 686.2291 kilograms to grams.\nAnswer: 686229.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -18*x**3 - 19*x**2\/2 + 13*x. Let c be l(-8). What is the first derivative of -14*j**2 + c*j - 11 - 845*j wrt j?\nAnswer: -28*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 n when three letters picked without replacement from {d: 2, n: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(2\/3)*j*(j*j**(2\/9))\/j assuming j is positive.\nAnswer: j**(26\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) + -2*((sqrt(78)*-2 - sqrt(78)) + sqrt(78) - sqrt(78) - sqrt(78)))\/sqrt(6) + (sqrt(13) + (sqrt(1872) - (sqrt(1872) + -1)))*6)**2.\nAnswer: 180*sqrt(13) + 2961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 206577.3 to the nearest 1000.\nAnswer: 207000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 152 - c6?\nAnswer: 7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -445*h - 6755 - 3035 = 0. Let g(u) = u**2 + 25*u + 58. Determine g(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*q**5 + 365*q**4 - 445*q**3 - 5665*q**2 - 8560*q - 3700 = 0. What is q?\nAnswer: -74, -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 814 by 2.\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -5*l + 15, -2*j + 30 = 4*l - 0*j for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3369855 is divided by 128.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*u**2 - 344*u + 7596?\nAnswer: 20*u - 344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1461 + -1423. What is the remainder when 151 is divided by v?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (3 + 0 - (29 + -24)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -221600 divided by -8864?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 638 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 23192?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-6)*(-80)\/(-56))\/2.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -1. Let r(o) = 3*o. Calculate 4*c(n) + r(n).\nAnswer: 3*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2863612569 and 141.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -118.25 * 427.\nAnswer: -50492.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/((-4134)\/(-65))*((-512)\/40)\/(-8))\/2.\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 415498 is divided by 546?\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2177671931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/(-8)*(4\/(-6) + 0). Let n(z) = 7*z + z**2 - 2*z - r - 2*z - 2*z. What is n(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11942.8 - 11943. Suppose -2*b + g = -0*g - 12, g = b - 4. Suppose 2*h + 10 = 0, -3*y - h + 10 = -b*y. What is the second biggest value in v, 3, y, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -398745*k. Let g(p) = -p**2. What is g(r(o))?\nAnswer: -158997575025*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 574191?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -124*f**2 + 60*f**2 + 57*f**2. Let d(k) = 45*k**2. Give d(z(v)).\nAnswer: 2205*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -142*p - 349. Is g(-49) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/(-15)*51\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28570608 divided by -44\nAnswer: -649332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1013 is divided by 18.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 0.5, 0 in decreasing order.\nAnswer: 0.5, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00299779493 rounded to 6 dps?\nAnswer: 0.002998","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*k + 10 = 0, -5*g = 3*k - 7*k + 11. Let v = g + 3. Solve f = -2*o - 1 - 3, v*f + 4 = -2*o for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 5*m - 3. Let f be t(1). Suppose 5*g - 2*d - 90 = 0, -g - f*g - 5*d + 85 = 0. Solve 3*w - g = -w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-491 + r - 2*r + 522)*(0*r + 3*r - 4*r).\nAnswer: r**2 - 31*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -g - 46, 72 = 4*j + 8*g - 4*g. Solve 5*r - 1 = -j for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9368682?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from {w: 5, v: 2, i: 2}.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6}. What is prob of sequence iiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -34, -49, -62, -73, -82, -89?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 96*u**2 - 46*u**2 - 47*u**2. Let b(i) = -3*i - 3. What is b(x(o))?\nAnswer: -9*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6266005 rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 2*t = -6*t - 20, 0 = -t - 5. Which is smaller: z or -3\/130?\nAnswer: -3\/130","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402.913 rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 1:41 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.66 - 1.34. Which is the closest to 2? (a) -10 (b) k (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 9*h**2 + 25*h - 74. Let g be z(8). Which is smaller: 54 or g?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 1597*t**3 - 401*t**2 + 2*t - 21. Is v(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(7\/6)\/b)*b**(5\/7)\/b)**(-24\/7) assuming b is positive.\nAnswer: b**(-92\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 1. Let o(y) = 2*y - 2. Let u(j) = -o(j) - 2*v(j). Let h(c) = 2*c - 1. Determine 2*h(l) + 3*u(l).\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 109 + -109.4. Which is the nearest to 1? (a) 2\/11 (b) u (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + 33*q - 28. Give b(35).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -62\/5 - -13. Let n be (-6)\/22*(-2)\/(-3). Which is the biggest value? (a) n (b) d (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 - 3 + 4)*(-3 + 2 + 2) + 2 - 3 - 1 - 1 - 1 - 1 + 0 + 4 - 5)*(15*j**3 - 13*j**3 + 8*j**3) to n*j**3 + f + q*j**2 + a*j and give n.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + 0)*(-4*t - t**2 + 4*t) + 533*t**2 - 9843 + 9843 to the form x*t + u*t**2 + v and give u.\nAnswer: 534","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.08 and 386121.66.\nAnswer: 386121.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 857b7 + -4?\nAnswer: 857b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 8*z**2 - 2*z + 14. Let w be i(8). Let f(r) = r + 6. Let p(u) = 1. Give w*f(s) + 11*p(s).\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, q: 3, e: 1, i: 1, x: 4}. What is prob of sequence wiqw?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c**3 + 2*c**2 + c + 6. Let h(d) = 7*d**3 + 4*d**2 + 2*d + 13. Suppose 2*l - 4*z + 4 = 0, l + 4*z - 2*z - 14 = 0. Give l*h(o) - 13*n(o).\nAnswer: 3*o**3 - 2*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4793 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-9)*27\/(-36).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 11742775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/12*41676\/9 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2717333450 a multiple of 2318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.8 - 7.8. Let o = -55273833\/266 - -207796. Let a = 3\/38 + o. Sort t, 2\/9, a in increasing order.\nAnswer: a, 2\/9, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(156) - -1*sqrt(156))*-3*-2*-4)\/(sqrt(48)\/sqrt(100) - (sqrt(588) + (sqrt(588)*-3 - sqrt(588)) - sqrt(588))))**2.\nAnswer: 83200\/2209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 222 a factor of 94153530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2844 - 2801. Which is bigger: 54 or k?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -74.957 + 75. Let t = l + 0.057. Which is the nearest to t? (a) -1\/2 (b) -3 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53092328\/1403 + 37842. Are g and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38847 = -4*y + 195553. Is 200 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**10\/(x*x**(-2\/17)))**(-3\/7)*((x*x*x**(-12)*x)\/(x*x**(-3)\/x*x*x))**(-7) assuming x is positive.\nAnswer: x**(6199\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - 3. Let y be z\/((-15)\/(-4))*-3. Let p = y - 4. Solve 4*o - 2*o - 2 = p for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, -1, -2, 3.\nAnswer: -48, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12129167 to the power of 1\/4, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + -4 + 835\/15)*33. Suppose 2*a = 3*t + f, 4 - 10 = 2*t. What is the greatest common divisor of a and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**2 - 6*l + 3. Let i be (-171)\/(-45) - (-2)\/10. Suppose i*g - 2*g = 8. Determine k(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b**3 - b**2 + 3*b + 1. Let i be p(-3). Is i\/1*2\/2 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 336687 and 582.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 54199 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c. Let s(d) = 86*d + 2*d**2 - 86*d. Calculate f(s(g)).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 55*m - 364. Calculate the least common multiple of 70 and g(41).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9756 and 240648?\nAnswer: 721944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.38 (b) -5 (c) 3\/5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -532.\nAnswer: -527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 167*k + 182. List the prime factors of x(4).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 760951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-117)\/156)\/(5\/(-40))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 9 = 0, -4*r = -4*g + g - 6. Let n(z) = z**2 + 5*z - 2. Let v be n(g). Put -1, -2, v in descending order.\nAnswer: v, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14043699?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2*p - 209 = -22, 44 = y + 3*p. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 8 = -2*m + 3, m = -5*s + 4. Calculate the least common multiple of s and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1984733*a**6 - 3899873*a**2.\nAnswer: -238167960*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*j = -18, 4*j + 0*j = 5*u + 21. Let h = u + 98. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 619589315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 263?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-175)\/28 - -6)*(1 + -1525). Solve -66 = 45*x - o for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**2 + 4*x**2 + 7*x**2 - 4 + x**2.\nAnswer: 12*x**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 2342 - 9568. Suppose 5*n + 0*n = -4*x + r, -15 = -3*n. List the prime factors of x.\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35383628.5558197 - -35383623. Let g = j - -1.7557932. Let v = g + 3.8. Round v to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.7 + -8.5. Let r = x - -2.8. What is the nearest to r in -0.4, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 8:01 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-15))**(-2\/3)\/((c\/(c*c\/((c\/(c*c\/(c*c**15)*c*c))\/c)))\/c**(-19)) assuming c is positive.\nAnswer: c**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 904?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2803.2 and -4360?\nAnswer: 1556.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -937192*a**2. Let m(j) = -2*j. Determine l(m(q)).\nAnswer: -3748768*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 129\/(-9)*(33\/132*-20)\/5?\nAnswer: 43\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 508393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -11706*j - 550184. Give u(-47).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 200365*q**6 - 2*q**2 + 16256*q - 5 wrt q?\nAnswer: 24043800*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**4\/3 + 21130*d**3\/3 + 22196705*d**2\/3 - 89548940*d + 269409660.\nAnswer: 5*(d - 6)**2*(d + 2119)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14333000 - -2?\nAnswer: -14332887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 57006267?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2 - p - 4. Let d be h(2). Let -2*w**3 - 2*w**3 - d*w**4 + 2*w**5 + 2*w**3 + w**2 + w**2 = 0. What is w?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 2*n. Let k(o) = o. Let z(d) = -4*k(d) + 2*r(d). Suppose -4*c + 1 = -19. Let v(a) = c*a**2 + 2 - 2 - 2*a**2. Give z(v(y)).\nAnswer: 18*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -783*r + 309*r + 163*r + 158*r + 151*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11211 (base 3) in base 13?\nAnswer: a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 5:15 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*g**2 - 71*g**2 + 37*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f*i**3 - 10718*f*i - 7292*i**3 - 2*i**2 wrt i?\nAnswer: 12*f*i - 43752*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -151 - -176. Does 6 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g - 8. Let m be w(6). Let n = -9 - m. Let s = -9 - -11. What is the highest common factor of s and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18566, 36362, 54134, 71870, 89558?\nAnswer: 107186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 613?\nAnswer: -618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -473 + 441 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136*n - 37*n + 75*n.\nAnswer: -98*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/7 - (-4)\/14. Let f(s) = 2*s + 1. Let l(b) = -7*b - 4. Let o(v) = 3*f(v) + l(v). Calculate o(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 19762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 0*c - 4*c = 0, 0 = 4*b - 2*c - 4. Let z(f) = -f**2 + f + 5. Let y be z(0). Suppose -150 = b*l - y*l. Is 18 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**4 - u - 1. Let x(a) = 10*a - 3 - 50*a - 21*a**2 + 10*a**2 - 15 - 19*a**2 - 6*a**3 - 4*a**4. Let g(z) = -6*k(z) + x(z). Factor g(m).\nAnswer: 2*(m - 6)*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 5, -1.2, 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 884, 998, 1114, 1232, 1352, 1474, 1598?\nAnswer: 1724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24574.09 + 24700. What is l rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -5*u - 5, 6 = 5*b - 19. What is the smallest value in -1\/4, -0.4, 2\/15, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -1\/11 (c) -5 (d) -2 (e) -2\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-20)\/15)\/((-4)\/9). Let x(b) be the first derivative of 1\/3*b**2 + 2 - 4\/3*b + 4\/9*b**a - 1\/6*b**4. Factor x(t).\nAnswer: -2*(t - 2)*(t - 1)*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 248 and 4514776?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1893408 a multiple of 163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05 - 0.38398904059.\nAnswer: -0.33398904059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 357*i**2 + 15*i + 135. Is j(-17) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 3*d - 24, 16 = d - 7*s + 2*s. Solve -d + 22 = 4*l, -p + 3 = l for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2416*b - 2416*b + 155*b**4 + (-3 + 2*b**3 + 3)*(0*b - 5*b + 4*b).\nAnswer: 153*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -127 * -136.\nAnswer: 17272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 - 0.3. Let q be ((-440)\/605)\/(30\/33). Which is the nearest to 0? (a) w (b) q (c) -6\/17 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 223370 (base 10) to base 14\nAnswer: 5b590","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 3:17 AM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m. Let d(s) = 6*s - 80. Calculate d(j(g)).\nAnswer: 6*g - 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/7 + (-66)\/(-14). Suppose -75 = -0*m - k*m. Let h be 4*(-2)\/(-20)*m. Let g(v) = v**3 - 6*v**2 + v - 5. Calculate g(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35630082973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(125) - (1*sqrt(125) + 3)) + 5 + 1*sqrt(125) + 4)**2.\nAnswer: 20*sqrt(5) + 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 332*z - 329*z + 9 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 3) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 82\/135 and -25\/27.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from icscbcnisbnbinfnbscs. Give prob of picking 3 i.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3066358 and 68?\nAnswer: 6132716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u - 1. Let y(x) = -33*x - 2 - 33*x + 67*x. Let s(j) = -2. Let w(v) = -6*s(v) + 4*y(v). What is -10*r(k) - 2*w(k)?\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/146120 and -98\/2325?\nAnswer: 67945800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*l + 5*l + 2*l + 0*l + 51*l.\nAnswer: 13*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003014441314 rounded to 7 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b = -51 - 14. Solve -3*p + 9 = 3*x, -2*x - x - b = -4*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/10 of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 3*a - 6)*(-2*a + 3*a + a + (a + 4 - 4)*(-1 + 1 + 2) - 2*a + 6*a - 6*a).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/4)\/(50\/70).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 662675.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 322 a factor of 19171123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 107 - 105. Suppose 0 = 3*q + 2*q - 75. What is the remainder when 6\/q - 46\/(-10) is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -o**4\/12 + 2*o**3\/3 + 3*o**2\/2 + 2*o. Let c be b(4). Suppose p - c = -0. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*b - 2*b = -6400. What is the greatest common factor of 5 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 - -32874199?\nAnswer: 32874199.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 18\/5 of a second?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 a when four letters picked without replacement from {y: 3, a: 8}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (52\/13 - 8)*-1. Solve -5*z = -x, -x - 2*z = -3*z - o for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3419 less than 0.7?\nAnswer: 3419.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-14 + (13 - (-9 - -4))).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2567, 4926, 7287, 9650, 12015, 14382, 16751?\n\"Answer: q**2 + 2356*q + 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -55 or -70?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19487 is divided by 3892.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70934 and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -4. Suppose 1 = -w*a + 28. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/605*-22)\/((-66)\/10)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 56 - 4. What is o rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 269, 260, 261, 272, 293, 324, 365?\nAnswer: 416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - 2510\/(-105)) + -7?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kbbbsskbkrbssrkrrsrk. Give prob of picking 1 s and 1 b.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 367298 and 201468.\nAnswer: 359217444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1.6521206+1.1\nAnswer: 2.7521206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15188623 rounded to 4 dps?\nAnswer: 0.1519","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 732129400 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1827 divided by -87?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of -21*w + 3\/2*w**2 + 0*w**3 + w**4 + 0. What is the units digit of p(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8978\/5 + 268\/5*k + 2\/5*k**2.\nAnswer: 2*(k + 67)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9 and 1895.\nAnswer: 1904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5*(sqrt(68) + sqrt(68)*-2)*-6)\/(5*sqrt(484)*2).\nAnswer: 3*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 3:51 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of 0*d**3 + 0*d**4 - 11\/15*d**5 - 30*d**2 + 0 + 0*d. Let q(h) = -2*h. Determine q(j(b)).\nAnswer: 88*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 103739807?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*y**2 + y**2 - 3*y**2 - 6*y**2 as j*y**2 + x + v*y and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 39370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22324111.\nAnswer: 17, 653, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 226384 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/36633 + 109891\/146532. Factor p*g**2 + 0 - 3*g.\nAnswer: 3*g*(g - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 35, -19, 5, -32 in increasing order.\nAnswer: -32, -19, -15, 5, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-6 + (-2002)\/(-336))\/((-122)\/396*-8) and 87\/20.\nAnswer: 9760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -17899\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2226389807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/60897786 and 23\/10.\nAnswer: 304488930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + j - 10 = 0, 5*w - 261*j + 256*j = -5 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1903359, -3806517, -5709675, -7612833, -9515991?\nAnswer: -11419149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 69\/12 - 3 - 2\/(-8). Suppose a*y - r + 50 = 0, 0*r - r + 34 = -2*y. Let c(g) = 3*g + 55. Calculate the remainder when 68 is divided by c(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34262779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-280)\/2)\/(44\/(-3256)) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 306860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -10*g - 19 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 119791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1163677 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 200102222111?\nAnswer: 200102222102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5.2, 3, -0.005?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/16 of a millennium?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 19*l + 28111411 = 12*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24073 + -24073.028086. Let q = j - -0.028. Round q to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/2754 and -27\/340?\nAnswer: 27540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h + 120 = 96 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7407.7g?\nAnswer: 7407700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 210201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -295, -295, -297, -301, -307, -315, -325?\n\"Answer: -i**2 + 3*i - 297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*s**2 + 7*s + 33*s + 17*s + 74*s**2.\nAnswer: 3*s**2 + 57*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-9))\/(2978\/(-13401))*23?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 3*k)*(-3*k**2 - 4*k**2 + 3*k**2)*(2 - 2 + 2*k).\nAnswer: 24*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 4*v = 208, 5*v = -s + 2*s - 32. Let j = -60 + s. Is 36 a factor of 1\/(-2)*24*j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 36*i**2 + 49*i + 131. List the prime factors of a(-29).\nAnswer: 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 28 + -1 - (-13 + 12). Let t(y) = -j + 50 - 22 - 10*y. Give t(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/12*-2*(-8)\/(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 185, 1\/7, -8, -21, -2\/33?\nAnswer: 185","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -41*b - 15*b - 10*b + 12. List the prime factors of g(-3).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 106, -3, 5 in ascending order.\nAnswer: -3, 0, 1, 5, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + 407\/(-77))*7\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 3:42 PM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8, -67, -160, -281, -424, -583, -752, -925?\n\"Answer: n**3 - 23*n**2 + 3*n + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.54 + 0.04. Let g be 21\/210*30 + (0 - -1). Let f = 0.24 - -0.06. What is the second smallest value in -5\/4, c, f, g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5899647029 to the power of 1\/3, to the nearest integer?\nAnswer: 1807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5a7b5 (base 16) to base 14\nAnswer: -990c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -0.5, -0.1, 0.08, -0.02, -1\/69?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 - -1.2. Let f = -1847\/12 - -154. Which is the smallest value? (a) -0.04 (b) m (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*h = 5*h + 2, -2*h = 2*r - 6. Let g = r + 1. Let n = 18\/37 - 124\/407. Sort n, 0.3, g in increasing order.\nAnswer: n, 0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 6*u**2 - 14*u + 7. Is s(13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + z = 15. Suppose -3*u = 4*x + 3, -z*x + 1 + 2 = 4*u. Let s(a) = a - 161*a**2 - 1 + u*a**3 + 159*a**2 - 2*a**3. What is s(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - (0 + sqrt(117))) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 12277587*f**5\/2 - 2336809783*f**4\/2 + 386479995*f**3 + 767598*f**2 + 380*f = 0.\nAnswer: -2\/2023, 0, 1\/3, 190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 4*y - 8. Let o be p(6). Suppose 186 = 5*f - 0*a - o*a, 2*f - 3*a = 80. Let t = 62 - f. What is the remainder when t is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5511*z + 5612*z + 5610*z - 16724*z.\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 3*t - 175 = t, -2*r - 3*t = -115. Does 19 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3*f + 2 + 5*f)*(15 - 1 + 9) to d*f + b and give d.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331)*4*-3 + 1)**2.\nAnswer: -264*sqrt(11) + 191665","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of m**5\/60 - m**4\/3 - m**3\/2 + 17*m**2\/2 + 2*m - 2. Let q(r) be the first derivative of i(r). Calculate q(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96 - (-2)\/(10\/(-15))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**2 + 0*y**2 - 4*y**2 + 5*y**2 - 2 + 2 + (0*y + 2*y - 4*y)*(-2*y - 5 + 5) + 3 - 3 - 2*y**2 + (1 - 3 + 4)*(y**2 - 2 + 2) - 3*y + 3*y + 3*y**2.\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + f + 16. Let m(l) = -l**2 - 8*l + 3. Let w be m(f). Suppose -15 = w*v - 8*v. Calculate the highest common factor of v and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11010 (base 3) to base 4.\nAnswer: 1233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -116 < -115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 976 is divided by 187?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-112707)\/(-8945)*20\/3.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2*sqrt(128)*1 + 0 + sqrt(128) + sqrt(128)*2))**2*5.\nAnswer: 144000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 4 - 4)*(-3 + 3 - 2) - 3*a - 2*a + 6*a + 4*a - a - 5*a + 8.\nAnswer: -3*a + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 0*o - 4*o)*(16*o**3 + 7*o**3 + 21*o**3 + (-2 - 3 + 2)*(-o - 2*o + o)*(-2*o**2 - 6*o**2 + o**2)).\nAnswer: -8*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2034, 0.2, 2, -4\/1569, 1 in decreasing order.\nAnswer: 2, 1, 0.2, -4\/1569, -0.2034","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 60*c - 69*c. Solve c = -0*s - 3*s - 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 3:17 AM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 750 is divided by 367?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2618*o**3*p**2 - 2*o**3*p*x - o**3*x - 4*o**3 - 7*o**2*p**2*x - 911*o**2*p*x + 2*o*p*x + o*p + 146*p**2*x wrt p.\nAnswer: 5236*o**3 - 14*o**2*x + 292*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000653711554 rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/((w\/(w**(-1\/7)*w*w)*w)\/w)*w**15*(w**(2\/47))**(-3\/5) assuming w is positive.\nAnswer: w**(27688\/1645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3aa3b (base 12) to base 5\nAnswer: -10042400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-135)\/(-675) - (-2)\/(-378)*7473\/235?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o - 8*o + 0 + 0 + 16*o.\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.01, 0, -25, -2\/9, 0.4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.1 + -2.145. Let q = 288.215 + -289. Let o = q - r. Round o to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52142918.\nAnswer: 2, 43, 606313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*b**2 - 7 + 7 + 9*b**2.\nAnswer: -11*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 68377 a multiple of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttuttuuttt. What is prob of picking 3 u?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 z when four letters picked without replacement from zygrrrzrrgr.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 16*m**2 - 10*m**2 - m**2 - 11*m + 9. Is z(5) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + 5*g + 7. Suppose -5 - 31 = 6*o. Give b(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, b: 3, j: 1, x: 5, g: 7}. Give prob of picking 2 t and 1 g.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 288 and 504?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 7*s + 108. Let a be d(-16). Let k be ((-488)\/305)\/(a\/(-90)). Let u(r) = r. Let b(q) = 0*q + 11*q - 3*q. Calculate k*u(t) + 4*b(t).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2)\/((-1)\/2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -67.6 * -0.78\nAnswer: 52.728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/1976170 and -61\/2590.\nAnswer: 1976170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**19*y\/(y*y\/y**(3\/5)*y*y))\/(y**(-2\/37)\/(y\/(y**(-9)\/y))) assuming y is positive.\nAnswer: y**(5116\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 154 and 1958?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -14*k**2 - 77*k - 36. Calculate s(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p**2 - 18*p - 12. What is i(-6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3588728 days to milliseconds.\nAnswer: 31006609.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 6 = 26. Suppose z = -3*g + 41, -2*z - z - 5*g = -119. Factor 8*y**2 + d*y**3 - 6*y**2 + z*y**2 - 272*y + 352*y.\nAnswer: 5*y*(y + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 729312 is divided by 1712.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1011 = -q + 5*u, -10*q = -13*q + 3*u + 2973. What are the prime factors of 15*12\/5*q\/51?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25813 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 162474811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 0*v - 2*v + 4 - 4 - 7*v + 2*v - 3*v + 3*v - v + 3*v - v + (v - 2 + 2)*(-3 - 1 + 5) - 5*v + v + 2*v - 3 + v + 3)*(12 - 51 + 23).\nAnswer: 80*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2*-2*-74*(-12)\/48*-1\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) + 1 + sqrt(147) + 4 - sqrt(147) - (sqrt(147) + (-1 + sqrt(147) - sqrt(147)) + 1)) + -2*sqrt(147)*-1 + -1*(sqrt(147) + 0) + 5 + 0)**2.\nAnswer: 140*sqrt(3) + 247","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/8 + 2349501*h\/2 - 5520154949001\/2.\nAnswer: -(h - 4699002)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 7*j. Let y be q(-8). Suppose 90 = y*r + 2*r. What is the remainder when 43 is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 209 and 133.\nAnswer: 1463","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/8 at most -209740?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/304*57*-36?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -2\/5, -2\/15, -0.24.\nAnswer: -2\/5, -0.24, -2\/15, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4829857 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 49861 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 203157 divided by -1935?\nAnswer: -22573\/215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -4, 13, 1\/3, -57?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -175.2 + 19.2. Let s = 74 + y. Is s smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23101 + 23106. Sort 0, d, -4, -9, 13.\nAnswer: -9, -4, 0, d, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + n + 4)*(0 - 2 + 4)*(-3 - 3 - 1) as t + x*n and give x.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/13)\/(v*v*v**(-3)))\/(v**(-5))**(-16))**1 assuming v is positive.\nAnswer: v**(-1025\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*p + 181*p**2 - 51*p**2 - 6*p - 5*p + 12*p**2 in the form b*p + v*p**2 + u and give v.\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55780 - 55780 + 2*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4938\/546 - (18 + (-6 - -5)\/((-12)\/(-108))).\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 = 2*m - 186. Suppose 5*f = -3*k + m, 2*f - 38 = -k + 3*f. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 405, 402, 407, 426, 465, 530, 627, 762?\n\"Answer: o**3 - 2*o**2 - 4*o + 410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -0.1, 0.1, 3, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 9236\/154419?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 96*s + 60*s + 1092 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/33 + (-35)\/(-11). Let v be (g + -4)*2 - -246. Is v*((-9)\/(-6))\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11 + 442?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32658*j**3 + 20135*j**3 + 72269*j**3.\nAnswer: 125062*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 105574153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 138316 by 458.\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-695))\/(2000\/(-625)). Does v = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2161 + c - 2161.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -20.28?\nAnswer: 40.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 9) in base 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 998389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(1\/3))\/x**(-1)*((x\/((x*x**(-2))\/x))\/x)\/x*x**(-1\/6)\/x assuming x is positive.\nAnswer: x**(13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2))**(-8\/3)\/(x\/x**(4\/5)*x\/x**(-12)))**(-3\/11) assuming x is positive.\nAnswer: x**(118\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9 (b) 7 (c) -2 (d) -22 (e) -27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 284600, 1138384, 2561352, 4553504, 7114840?\n\"Answer: 284592*o**2 + 8*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76189000 is divided by 174.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 3*m + 1198, 3*h + 0*m - 3*m - 720 = 0. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 447 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 - -4. Suppose 3*k - s = 24. Suppose -y - 3*a + k = 0, 2*y + 6 = 2*a + 2. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 2934?\nAnswer: -2935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-6)*5)\/(((-4500)\/(-260))\/(-45))\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.026254 to four decimal places.\nAnswer: -0.0263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146372446.\nAnswer: 2, 11, 73, 91141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1798*o**3 + 2*o + 21239.\nAnswer: -5394*o**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9647.754 days in microseconds?\nAnswer: 833565945600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2821*f + 95150 = -34616 for f.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -16 + 13 - (-1 + -2). Suppose a = -3*i - p + 4, 2*i = -i - 3*p + 12. Factor 1\/5*g**3 + i - 3\/5*g + 2\/5*g**2.\nAnswer: g*(g - 1)*(g + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/3*((-245)\/15)\/(-7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 10*n**2 - 4*n - 2. Let u be x(-10). Suppose 2*t + u = 3*t. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 6:47 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -27*x**3 + x**2 + 2*x + 1. Let f be l(-1). Let p = f - -88. List the prime factors of p.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -72*j + 993. Calculate o(14).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 67662977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -2 - (-86 - (-24 - -10 - (-13 + -1)))\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -256*y = 29 - 285. Sort -0.047, y, 0.1, 1\/6.\nAnswer: -0.047, 0.1, 1\/6, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-3*sqrt(1700) + (sqrt(136)*3*-1)\/sqrt(8).\nAnswer: -183*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 p when four letters picked without replacement from pyyppy?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -30 + 21 + 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16945699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((73 + -72)\/((-6)\/12*-1))\/(22\/407)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68502 times 22?\nAnswer: 1507044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 0. Let b = -31 + 127\/4. Let d = b - 3\/20. Are s and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64428 * 228\nAnswer: -14689584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 10*p**2 + 6*p**2 + 12*p**2 + 26*p**2.\nAnswer: 34*p**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3186 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 10*d - 5 = 0. Sort -1, d, -1\/10 in increasing order.\nAnswer: d, -1, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**3\/15 + 52984*m**2\/15 + 351018976*m\/15 + 1403228288\/15 = 0.\nAnswer: -13244, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 451199?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-110)\/(-12705))\/(-1 - 10\/(-7)). Which is the third smallest value? (a) -0.03 (b) h (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -220083313.8 + -1.69849?\nAnswer: -220083315.49849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*p - 17*p = 4*r + 228, -p + 66 = 2*r. Solve 80 = 4*u + p for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1507813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + v**2 - 3*v. Let n be h(7). Suppose 0 = 2*y + 2*y + 800. Let o = y - n. What is the greatest common factor of 23 and o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36b97 (base 13) to base 5\nAnswer: 11211343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -13\/6*g**3 + 82*g + 0 + 0*g**2. Let z(w) = -38*w. Calculate 17*v(s) - 6*z(s).\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3116*o**2 + 6234*o**2 - 3120*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 1 = 3*g - 8, -9 = -3*g + 2*t. Let n(f) = 4*f**3 - f**2 - 3*f**g - 3*f**2 + 7. Is n(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 80792 and 0.3.\nAnswer: 24237.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23\/((-460)\/(-4)))\/((-2)\/(30\/9)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2686043?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjauujw. What is prob of sequence wua?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4634786102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -2. What is the third smallest value in z, -5, 1\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j**2. Let u(g) = -6 + 12 - 191*g + 1 - 62*g + 1. What is u(l(o))?\nAnswer: 506*o**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -13 * 0.187\nAnswer: -2.431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1241 and 365?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 63912881.\nAnswer: 2\/63912881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45\/6)\/((-2415)\/(-1932))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3758*h + 217*h**2 - 3758*h)*(-4 + 2*h + 5 - 4*h)*(2*h - 6*h + 0*h) as j*h**3 + n + m*h**4 + y*h**2 + s*h and give m.\nAnswer: 1736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*j**3*y**3 + 2*j**3*y**2 + j**3*y + 3*j**3 - 6*j**2*y**2 - 22559*y**3 + y**2 wrt j?\nAnswer: 96*y**3 + 12*y**2 + 6*y + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 914096.\nAnswer: 2, 57131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 18*w**2 - 81*w. Determine g(-7).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13906 is divided by 6951.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27638030 to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*y = 23, 7*i - 2*y - 30 = 37. Sort 7, 4, -1, i in ascending order.\nAnswer: -1, 4, 7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 609*z**5 - 10*z**2 + 14*z?\nAnswer: 36540*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57 - 6*c**2 + 9*c**2 - 5*c**2 + 243.\nAnswer: -2*c**2 + 186","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 3*d - 65 = 0, 5*z + 56300*d - 43 = 56309*d for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 103*t**2 - 2000*t + 442. What is s(-77)?\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -34?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 616449971.\nAnswer: 17, 1877, 19319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 3 + 3)*(-3 + q + 3) + q - 7*q - 10*q)*(0 + 2 - 3).\nAnswer: 18*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168 and 280?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10354119\/8 - -1299115. Let r = 4859 - j. What is the common denominator of r and 113\/20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -1 + 1 + -368 + 375 - (151 - 29).\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0186 + -0.3656. Let g = -293.083 - -293. Let u = c + g. What is u rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1573541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -191 or 114?\nAnswer: -191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.8 - -10.8. Which is the closest to 1? (a) 8\/7 (b) 2\/9 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 336993.9 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -405 + 402. What is the second biggest value in 2.5, -2\/17, z?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4411241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 19, -5, 0, -1053, -4\/7, -2\/3, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 99\/110*275\/3465.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -23 - -5 - 10577\/(-588). Is -8\/5 >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255899322 is divided by 314?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4599390*w - 27596348. Determine f(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -1510?\nAnswer: -2\/755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/2*(4 - 28\/6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**5*g**(6\/7))**(-2\/5)\/((g**6\/g*g*(g*g\/g**(-1\/11))\/g*g*g*g)\/((g**3\/g)\/g*g*g*g**7*g*g)) assuming g is positive.\nAnswer: g**(-321\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*k = -73*k + 160 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 7:28 PM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 55*c - 2 + 135*c.\nAnswer: 190*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.9 + -4.1. Let n = -143\/5 - -29. What is the nearest to n in 2, 0.1, d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7145 times 0.3?\nAnswer: 2143.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -1. Suppose -d*o = 11 - 151. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -72325933, -72325938, -72325943, -72325948, -72325953, -72325958?\n\"Answer: -5*a - 72325928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 108386\/2275 and 49 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-105)\/28)\/5*(-168)\/108\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -6*j**3 + 84*j**2 + 24*j - 44. Let s(i) = 7*i**3 - 100*i**2 - 29*i + 53. Let p(m) = -13*n(m) - 11*s(m). Give p(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**29\/n))\/(n*(n\/(n\/(n**(2\/59)*n)))\/n)*n*n*n\/n**(-20)*n*n\/(n*n*n**(-2\/39)\/n*n) assuming n is positive.\nAnswer: n**(-11465\/2301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 155005.7us?\nAnswer: 155.0057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.37 (b) -5\/2 (c) -0.3 (d) 0.3 (e) -196 (f) 5\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -2*y + 0 - 1\/6*y**3 + 6*y**2. Let z be q(9). Solve z*a = -0*a - 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5902275286 rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -104*p - 17639. Calculate q(-172).\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.1 + -0.1. Let z(r) = r + 2. Suppose -2*o = -3*w + 9 + 8, 5*o = -5*w + 20. Let q be z(o). Which is the nearest to 0.1? (a) q (b) d (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 19848, 39704, 59560, 79416, 99272?\n\"Answer: 19856*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.43122 centuries in years?\nAnswer: 5143.122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -85322*u**2 + 548*u + 919147387 wrt u.\nAnswer: -170644*u + 548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-85)\/17)\/((-10)\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9762, 6742, 3722, 702?\n\"Answer: -3020*h + 12782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g - 3*g + 2*g + (0*g + 0*g - 2*g)*(0 - 2 + 1) + 3*g + 2*g - g to the form m*g + b and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from {f: 5, b: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - 8948*j + 630232. Determine z(71).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 72447.84 millimeters?\nAnswer: 0.07244784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1008 - 0?\nAnswer: -1008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 9201.967nm?\nAnswer: 0.000009201967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3104198061 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/21)\/(6\/((-648)\/12))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3\/5 - 63*j**2\/5 - 357*j\/5 - 117.\nAnswer: -3*(j + 3)*(j + 5)*(j + 13)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 667\/(-148) - 697\/(-164). Is s >= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 106*(3 - (-602)\/(-559)*(-13)\/(-4))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*h**3*p - 3942807*h**3 + 74*h**2*p + 12*h*p - 94*p wrt p.\nAnswer: 2*h**3 + 74*h**2 + 12*h - 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-8)*z*z))\/(z\/z**6) assuming z is positive.\nAnswer: z**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16009377.710459 + -16009371. Let j = s - 6.71. Round j to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190079441?\nAnswer: 1657, 114713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6231191 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/n**0*n*n))**(4\/5))**(2\/65)*((n\/(n*n**(1\/3)*n))\/n)**(-5)*((n*n**(-6))\/n)\/(n**(2\/13)\/n) assuming n is positive.\nAnswer: n**(6302\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t - 48. Let g(f) be the third derivative of f**4\/4 - 145*f**3\/6 - 21*f**2. Let m(h) = -2*g(h) + 7*x(h). Let l be m(23). Solve 2*z + 3*z = l for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7 - 0\/(-2)) + -1 + (23 - 31). Which is the closest to r? (a) -5 (b) 7 (c) 2\/5 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -26*j*k**2 - 498*j*k + 77*j - 2863*k**2 + 690*k wrt j?\nAnswer: -26*k**2 - 498*k + 77","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*c = 113*c + 12. Suppose -3*a = -3*j + 3, c + 2 = 2*a. Solve 0 = -j*o - 22 + 6 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 423402 + -677222. What is s rounded to the nearest 10000?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 u when two letters picked without replacement from ubf.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -f. Suppose 4*g + 0*y = y + 1, -2*g - y + 5 = f. Let x(q) = q**2 - 1. Let v(l) = -2*l**3 + 4*l**2 - 5. Give g*v(a) - 4*x(a).\nAnswer: -2*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 to the power of 1\/2, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/795 - 1579\/8745. What is the third smallest value in 5, 0.08, j, -0.35?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + -1 + -2 - (sqrt(11) + sqrt(11) + 0 + 3).\nAnswer: -6 - sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 80*k. Let l(o) = 11*o. What is v(l(u))?\nAnswer: 880*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 180 times -0.03?\nAnswer: -5.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 251823?\nAnswer: 251823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b1b + 2?\nAnswer: b21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -21*d**4\/2 + 39*d**3 + 921*d**2\/2 - 849*d + 360 = 0.\nAnswer: -6, 5\/7, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2593*b**3 - 2564*b**2 wrt b?\nAnswer: -15558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.283356 to two decimal places.\nAnswer: -2.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 1)*(5 - 2 - 1)*(10533 - 10533 - 31*i) as o*i + c and give o.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 5*d + 11. Let k(c) = 2*c**2 + 58*c + 64. Suppose 5*p - 38 = 4*q + 74, 2*q = 5*p - 56. Let z be k(q). What is y(z)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*p - 6*p + 4*p + (-2 + 6 - 2)*(-2*p + 11*p + 8*p) to q*p + o and give q.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -112 + 249. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3075?\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 269885497.\nAnswer: 7, 283, 136237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 27064 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -114 - -116.52. Let k = r + -3. Round k to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 2*f**2 + 4*f - 1. Let i be n(3). Let l(r) = 4*r. Let y be l(i). Let z = 18 - y. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 8) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12924291 to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/((15\/27)\/5). Let x(q) = 5*q - g*q + 4*q - 1 - q**2. Determine x(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8.3 - 0.229\nAnswer: -8.529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -3. Let x(q) = -q**2 + q + 2. Let k be x(n). Let f be 1\/k - 15\/(-36). Which is bigger: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -6, -5*j + 553 = -4*k - 22439. Round j to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6487325648 and 0.7?\nAnswer: 6487325647.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + l**2 - 2*l + 44. Suppose 0 = -2*d + 4*d. What is the units digit of q(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8, 81, 170, 259, 348?\n\"Answer: 89*m - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that a**4\/3 + 18759*a**3 + 359919670*a**2 + 7493309091100*a\/3 + 2756204096759000 = 0.\nAnswer: -18310, -1347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(19) + -1 - sqrt(19)))**2 + (sqrt(2299) - sqrt(2299)*3)**2 + 1 + (-3*(1 + sqrt(1539))**2 - sqrt(1539)))*-5.\nAnswer: -22965 + 315*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = k + 2*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11629*r**5 - 383*r**3 - 20*r**2 + 99*r + 16.\nAnswer: -697740*r**2 - 2298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/8)\/(s**(-3)*s))**32*(s*s**(-6)*s*s**7)**35 assuming s is positive.\nAnswer: s**157","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.096 - -11.904. Let q = -0.2501 + 0.7501. Which is greater: r or q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 68\/(8 + (-9)\/((-36)\/(-28))). Solve -c = 4*r - 60 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -125821 divided by 3\nAnswer: -125821\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 14*v = 0. Let g(l) = 2*l**3 + l**2 + l + 68. What is the remainder when g(v) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 34, 5, -11, 0, -2, -1395 in descending order.\nAnswer: 34, 5, 0, -2, -5, -11, -1395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 77*j - 7*j**2 + 2 - 36*j - 39*j + (j - 4*j - 2*j)*(-4 + 4 + 2*j).\nAnswer: -17*j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 3*g + 4*w = 24, 48 = 5*g - 2*w. Let p be (g + -8)*(-2)\/4. Suppose z + p*t - 2*t = 7, -3*z - 24 = 3*t. Which is smaller: z or -1\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -j**6\/45 - 7*j**5\/15 - 10*j**4\/3 - 82*j**3\/9 - 35*j**2\/3 - 9857*j. Let i(q) = 0. Calculate q.\nAnswer: -7, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 573893 and 767?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2353449 is divided by 243.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in 0, 1\/12, -0.4, -1?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -1421*q**2 - 105*q + 50. Let w be i(50). Round w to the nearest one hundred thousand.\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11022212212 (base 3) to base 11\nAnswer: -59022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 416*i - 413*i, -4*i - 2 = -5*x + 3*x for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -34043145536 + -4?\nAnswer: -34043145543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -13*f - 12. Determine m(-5).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**5\/7 + 2614*c**4\/7 + 746*c**3 + 2610*c**2\/7.\nAnswer: 2*c**2*(c + 1)**2*(c + 1305)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*t**2 - 46*t**2 + 98*t**2.\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 493339, 986430, 1479521, 1972612, 2465703, 2958794?\nAnswer: 3451885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 2.5. Let o = 458.91 - 458.9. Sort r, o, -5.\nAnswer: -5, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*g - 19*g - 11*g)*(-34*g**3 + 35*g**3 - 14*g**3).\nAnswer: 247*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(637) + 1 + 2))**2 + -2 + 1*(sqrt(637) + 0) + sqrt(637) + -4 + -1*sqrt(637).\nAnswer: 679*sqrt(13) + 10330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5452 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-33)\/22*(0 + -2). Suppose -g*l - 5*k + k = -46, 0 = -3*l - 3*k + 42. Is l a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of 5\/12*y**4 + 2\/5*y**5 + 1\/18*y**6 + 0*y**3 + 0*y**2 - 41 + 0*y. Factor s(q).\nAnswer: q**3*(q + 1)*(q + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 96?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*c, c + 0*c + 13 = 2*r. Suppose -r*j = 1140 + 520. Let g = -1975\/6 - j. Calculate the common denominator of -15\/8 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49*-14698\nAnswer: 720202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1809 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c + 8. Let j be d(-8). Let u = 10 + j. Factor -2\/9*o**u + 8\/9*o - 8\/9.\nAnswer: -2*(o - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 63839, 63721, 63603, 63485, 63367, 63249?\n\"Answer: -118*k + 63957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-258)\/(-2322)*(-3)\/2)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311 is divided by 53.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 7429.7169 to the nearest one hundred.\nAnswer: 7400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*a - 10*j = -91*a + 56, 7*a = 3*j - 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 3*k = 80. Suppose 0 = -5*x + x + 4. Let l = x + 4. Calculate the highest common divisor of l and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*o**2 - 12*o + 8*o + 4*o.\nAnswer: -117*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + -2.1. Let o = 0.1 - 0.1. Let u = h - o. Which is the nearest to u? (a) -0.1 (b) 0 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millisecond in nanoseconds?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 1092381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + q = l + 370, -96 = l - 2*q. Round l to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -51*j - 28976 - 8305. Put j, 11, -5 in descending order.\nAnswer: 11, -5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.2 (b) -1.2 (c) 1\/7 (d) 46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -181*f - 2 - 191*f - 180*f + 608*f as z + h*f and give h.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*x - 20570222 - 1613293 = -16*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(1\/10))\/(l\/l**5))\/(((l*l*l**(-1\/4)\/l)\/l)\/(l\/(l**(-4)*l))) assuming l is positive.\nAnswer: l**(187\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 113125 + -361094915\/3192. What is the common denominator of 47\/2736 and t?\nAnswer: 19152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4221236 to the power of 1\/2, to the nearest integer?\nAnswer: 2055","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 443814914 a multiple of 7823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44\/(-12)*(-243)\/4455)\/((-17)\/(-10)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(125)*-2)*-3*-2 + -3 + -2)**2.\nAnswer: 1320*sqrt(5) + 18121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 7:31 AM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + -255718.78882.\nAnswer: -255715.78882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -6*z**3 + 3*z**2 + z - 5. Let k(g) = -5*g**3 + 2*g**2 + g - 4. Let n(l) = -l**2 + 8*l - 11. Let q be n(4). What is q*k(y) - 4*r(y)?\nAnswer: -y**3 - 2*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17031279.\nAnswer: 3, 191, 29723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -3.1. Let j = -4.11 + 0.11. Let o = j - -9. Which is the nearest to 0.1? (a) g (b) -1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 210698413 by -210698413.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24869860?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5*1\/(-2)*-22. Suppose -2*r + 158 = -4*t, -3*t - 81 = 2*r - 3*r. Suppose -9 + r = 3*n. What is the highest common divisor of u and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -85327 - -127632. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -282429.763965 minus -14.12?\nAnswer: -282415.643965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*z**5 - 7716*z**4 + 253404*z**3 + 454782*z**2 - 1019499*z + 319014 = 0.\nAnswer: -3, 2\/5, 1, 37, 479","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 319 - 43. Suppose -q = 2*x + q - u, 2*x + 5*q = 153. Calculate the highest common divisor of 8 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/125652 and -65\/345543.\nAnswer: 1382172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 0 = -5*n + 75, -165 = -4*y - 863*n + 868*n for y.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u - 12 = -13*u. Is 14\/6 - u\/9 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10001001000101 (base 2) to base 6\nAnswer: -104341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.5 (b) -1045\/7 (c) 3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 (base 16) in base 13?\nAnswer: 7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 8*b - 2. Calculate the remainder when x(4) is divided by (-1 - -1)\/(-1) - -16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10813*n + 9750 = -11063*n for n.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 - 35 + 1428*b + 1161*b.\nAnswer: 2589*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36399 and 1650?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**5*z**2 + 148*d**5 + d*z**2 + 59*d*z wrt d?\nAnswer: -40*d**3*z**2 + 2960*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*r = 18, -4*r - 14 = -0*q + 3*q. Suppose 2*d = 6, -21*d = -2*a - 18*d + 439. Let u = -224 + a. Solve 0 = q*f - u*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12315124*w**2 + 39706 - 39706 - 12315121*w**2.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 2*k**2 - 3*k + 3. Let l(a) = 2*a**3 - 3*a**2 - 5*a + 5. Determine 3*l(c) - 5*t(c).\nAnswer: c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**5 + 7*f**4 - 473*f**3 - 89*f - 773?\nAnswer: 20*f**3 + 84*f**2 - 2838*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i. Let x be (-10)\/2 - (-21 - -12). Let z(t) = -t. Let v(w) be the first derivative of w**2 + 2. Let p(h) = x*z(h) - v(h). Determine k(p(g)).\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1413905*j**3 - 2*j - 1413907*j**3 + 4*j - 15*j.\nAnswer: -2*j**3 - 13*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5*m = -4528. Suppose -4*g - 32 = -m. Calculate the highest common divisor of g and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o**2 - 10*o**2 + 0*o**2.\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of 0*d**3 + 11\/6*d**4 + 0 + 8\/21*d**7 + 21*d + 0*d**6 + 0*d**2 + 0*d**5. Find the third derivative of g(a) wrt a.\nAnswer: 960*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45010.\nAnswer: 2, 5, 7, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*1\/((-2)\/(-3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pqfpqfqppqpqqppffq. Give prob of picking 1 p and 1 f.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r*r**2)*r))\/(r**9\/r))\/(r**(3\/2)\/r**(7\/6)) assuming r is positive.\nAnswer: r**(-19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16285181, -16285187, -16285197, -16285211, -16285229?\nAnswer: -16285251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 5*k. Let o(d) be the third derivative of -11*d**5\/60 - 5*d**3\/6 + 21*d**2 + 5. Determine r(o(l)).\nAnswer: -55*l**2 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 0 (c) -1 (d) -2\/3 (e) 2590\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 1 + 5, 3 = 3*t + k. Let a(f) = f**3 - 2*f**2 + f. Let d be a(t). Solve -n + d*n - 3 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bjjpjjpjp. Give prob of sequence pp.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 - 4*q**2 + 0*q**2)*(-8*q - 1 + 1) + (2 - 4 + 1)*(4*q**3 - q**3 - 4*q**3).\nAnswer: 17*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of y**4 + 486182*y**3 - 7781849 wrt y?\nAnswer: 4*y**3 + 1458546*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2888, 2, -4, -16 in increasing order.\nAnswer: -16, -4, 2, 2888","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 17*w = 18296. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27312368 is divided by 43?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, k: 3, a: 1, c: 10}. What is prob of picking 3 m and 1 a?\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 16 (b) 0.03 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1755 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52749?\nAnswer: 3, 5861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of j**3\/6 + 17*j**2\/2 + 10*j. Let o = -12 - -5. What is the lowest common multiple of 5 and k(o)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.141 times -336805\nAnswer: 47489.505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence igii when four letters picked without replacement from ggggggggiggggggigggi.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -0.5, 2\/13, -0.4, -1\/6 in decreasing order.\nAnswer: 2\/13, -1\/6, -0.4, -0.5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 1 = m, -4*p - 1 - 1 = -2*m. Let k = 77.3 - 10.3. Let g = 70 - k. Sort m, g, -0.4 in descending order.\nAnswer: g, m, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 10:38 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56 by 2.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 51*f**3 + 4*f**2 - 2*f + 1. What are the prime factors of h(2)?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 75*d**2 + 31*d + 2326. What is the remainder when 770 is divided by z(-75)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/5*-1*2. Let i be (-1 - z)*(23 - 19). Differentiate -3 - 6*j**i + 2*j - 2*j + 5 wrt j.\nAnswer: -24*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(-5) - 6*1. Let w = -4 - s. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -1221?\nAnswer: 1210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**1)**(-28))**48)**(1\/7) assuming c is positive.\nAnswer: c**(-192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 12*b**2 + 23*b - 24. Give x(8).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/45443 and -1\/75216.\nAnswer: 2181264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 0.0991?\nAnswer: -0.01982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3347 + -0.2847. Which is the nearest to -2\/3? (a) 4 (b) x (c) 3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1009, 1016, 1023, 1030, 1037?\n\"Answer: 7*f + 1002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -686430, -686433, -686436, -686439, -686442, -686445?\nAnswer: -686448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v - 3*v + 4*v)*(6*v - 3*v - v) + 2*v - 2*v - v**2 + (-2*v + v + 0*v)*(0*v + 4*v - 5*v).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - v + 79. What is the tens digit of i(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 361859?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -213038.7385 to the nearest one thousand.\nAnswer: -213000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -325 + 212. Let o = p - -112.898. What is o rounded to two dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24.28 + 0.28. Let q = x + 24.01. Let g be (0 - 1)\/(3\/15). Which is the smallest value? (a) q (b) -0.1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d**2 + 4*d - 2. Let y(v) = -5*v**2 - 5*v + 2. Calculate 6*t(r) + 5*y(r).\nAnswer: -r**2 - r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 2. Let b(n) = 3*n + 9. Let a(i) = -i + 1. Let p(f) = 2*a(f) + b(f). Let r be p(-5). Calculate the highest common factor of o and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 6*a - 1305 = -5*h, 5*a + 817 = 3*h. Let s = h + -1073\/4. Let o = 2\/5 + 1\/10. What is the second biggest value in 4, s, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 21*j**2 + j + 108. Let i(v) = -3*v. What is i(k(u))?\nAnswer: -63*u**2 - 3*u - 324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of 1\/30*g**5 + 1\/6*g**4 + 1\/3*g**3 - 4*g + 0 + 1\/3*g**2. Solve j(w) = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 55 - 45. Solve -i = i + a for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 plus -3.24?\nAnswer: 8.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 to the power of 1\/8, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 34571 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**5 - 6*x**4 - 12*x**3 + 6*x**2 + 9*x.\nAnswer: 3*x*(x - 3)*(x - 1)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, m: 14}. What is prob of sequence mmm?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 5*m - 23. Let j be g(5). Suppose u - 2 = -s, 3*u = 4*u - j*s - 2. Solve -3*d - u = -t, -2*d + 2 = -4*d for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(-20)*(1 + -1). Let t be (-47)\/7 - 4\/14. Let n = m - t. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 87 - (-10 + -2 + 83)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(1 + 10\/(-11)). Suppose 7*l + 21 = -14. Let q be (3\/(60\/(-8)))\/((-7)\/l). What is the closest to q in -0.5, -2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17528735773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 2*h + 6, -7*k + 6*k - 3 = 4*h. Suppose 0 = -x + 2*m - 8, -5*x + x + 2*m = 8. Sort 0.4, x, k in ascending order.\nAnswer: x, 0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -860800 + 404.6?\nAnswer: -860395.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 - 29. What is the units digit of (-3 - -1) + (-228)\/q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -11*h**2 + 1. Let a(y) = 51*y**2 - 6. Let l(r) = -1. Let i(f) = -a(f) + 6*l(f). What is n(i(z))?\nAnswer: -28611*z**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 13*b - 27. Let i be r(-15). Suppose 318999984 = 5*f - 0*m + 4*m, f = -i*m + 63799988. Round f to the nearest 1000000.\nAnswer: 64000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 6*c - 6. Let m(v) = 3*v - 20. Let y be m(8). Let a be j(y). Suppose -a*g = -6*p + 2*p - 96, 0 = g - p - 51. Is g a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 323*k - 2990. Calculate q(332).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*g**2 - 2*g*u**2 + 409*g - 5*u**2 + 234*u wrt g?\nAnswer: -4*g - 2*u**2 + 409","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4789 is divided by 34.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -26, -0.2, 1\/2, -5?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 24865.8685 and 56526?\nAnswer: 31660.1315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 - 0.3. Let j = -73.1 - -69. Let o = j + 16.1. Are o and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 0) + -6 + -2 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1953 - -1937.95. What is m rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(77)\/(-3*sqrt(7)*2).\nAnswer: -sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 11*a - 9. Let w be m(1). Solve -w + 6 = -2*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -49) + (17 - (-3 + 6 - -6)) + 0.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b + 2. Let f be (1 + 8\/(-3))*-3. What are the prime factors of h(f)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4276185 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19231.\nAnswer: 19231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 0.6, -5, 1\/4 in descending order.\nAnswer: 0.6, 0.4, 1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 6) to base 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 9 = -3*c, -2*o + 2 = -4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 146220?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 1 = 2*w + 14, -r + 10 = -3*w. Let c(x) = -2*x**3 + 10*x**2 + 4*x + 6. What is the hundreds digit of c(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -7*l + 5*l + 76, 4*l = -2*x + 56. Solve 2*p = 8*p + x for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 6*w + 9. Let r be i(-8). Let o(y) = -y**3 - 7*y**2 - 5*y - 3. Is o(r) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 s when two letters picked without replacement from zyzzpzqzzzzyssyzsq.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.81*-5.\nAnswer: -9.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 2 + 1 - 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**2 + 15*q - 5. Let p(d) = 3*d**2 + 30*d - 10. Let b(v) = -5*c(v) + 3*p(v). Let u be b(14). Suppose -33 + u = -2*g. Is g a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 + s + (-4*s + 3*s - s)*(2 + 2 - 3) + (131*s - 95*s - 73*s)*(0 - 1 + 4) + 2*s + 5*s + s to the form h*s + n and give h.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -36 and 1.9.\nAnswer: -68.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54723, 218897, 492521, 875595?\nAnswer: 1368119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 4:42 AM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - x - x)*(1 - 7 + 1) + 10 - 1647*x - 678*x - 4 - 6.\nAnswer: -2320*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4161 + 79252 = -1148*t + 468*t - 551*t for t.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 1162?\nAnswer: 1162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of 3*a**5\/5 - 3*a**4\/2 - a**3 + 3*a**2 + 10. Factor l(c).\nAnswer: 3*c*(c - 2)*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w + 2. Suppose 6*z = -39 + 57. What is l(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11213 is divided by 1399?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*o**4 - 1479*o**3 - 5384*o**2 wrt o.\nAnswer: 48*o - 8874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1808 equal to -16280\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 460\/201, -185, -1\/17 in descending order.\nAnswer: 460\/201, -1\/17, -185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3923762.\nAnswer: 2, 1123, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -0*b + 5*h + 10, -3*h + 8 = -b. Suppose 12*a - 50 = b*a. Let r(o) = -o**3 + 9*o**2 + 13*o - 25. Let x be r(a). Solve -x*w + 8*w = 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 5*a**2 - 3*a + 4. Let r = 2 - -4. Suppose -r*y + 2*y = 12. Determine w(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j + 39 = s, 0 = 23*s + 6*s - 25*s + 8*s - 151 + 43 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(-7)*(y*y*y*y**(-2\/3)*y*y*y)\/y*y assuming y is positive.\nAnswer: y**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8384109?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -14*2\/28*-10. Solve j*k - 48 + 138 = 0 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 10*i - 22. Let l be c(10). Let m = l - -14. Let w(h) = -3*h - 19. Let z be w(m). Let j(g) = -g**2 + g + 3. Calculate j(z).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirteen quarters of a micrometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 12 = 4*i, i + 10 = -i. Suppose c = y*c. Let p = 2 - c. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11381331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - c**2 - c - 1. Suppose 4*k + 4 = 5*k. Let j(p) = -9*p**3 - 3*p + 1055 - 3*p**2 - 1058 + 5*p**3. Calculate k*j(o) - 12*n(o).\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -0*p + 11*p. Suppose 17769 = -p*x - 5006. Let b = x + -17445. What is b rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13242497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/9, -0.3, 0.25, -2\/15, 0.02772?\nAnswer: 0.02772","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -80807?\nAnswer: 80809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a + 44*a**2 + 32*a**2 + 20*a**2. Let g be y(-1). What is the tens digit of 2\/4 + g\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -5*u**5\/2 + 6275*u**4\/2 + 323095*u**3 + 1546235*u**2 + 1787415*u\/2 - 5532345\/2 = 0.\nAnswer: -91, -3, 1, 1351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g - 10*g - 6*i + 24, 20 = g + 5*i for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d + 2*h + 4, 2*h = -3*h + 5 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o**2 - 16*o - 1. Let y be w(7). Suppose 8*m = -14 - y. Find the common denominator of (-513)\/170 - m\/51 and -19\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 1.6231, 106 in ascending order.\nAnswer: 0.2, 1.6231, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*f - 4. Let l be 6\/20*(-4)\/(-24). Let p = 3\/10 - l. Is f < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000364 to six dps.\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 3 (b) -153630 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1160.966 less than 414.04?\nAnswer: 1575.006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110011000011111000 (base 2) in base 13?\nAnswer: 13668c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -10 + (17\/85)\/(2\/10). Suppose -4*f = -j + 94, -f + 4*j - 40 = f. Let i = v - f. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1571202 a multiple of 246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 11*f - 48. Let j be r(5). Suppose 15 = j*d - 48. What is the greatest common factor of 72 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 955, -4.\nAnswer: -4, -1, 955","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**5 - 2*x**5 - 6*x**5 + 6*x**5 - 6*x + 6*x + (x**4 + 3*x**3 - 3*x**3)*(0*x - x - x) - 2*x**5 - 19*x + 15*x + x**5.\nAnswer: -7*x**5 - 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 103 - 103.04. Let q(d) be the third derivative of -d**4\/8 + 2*d**3\/3 - 7*d**2. Let j be q(2). What is the nearest to 2 in i, j, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-3)*1*4\/(-4)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 13*h**2 + 2*h + 4. Let s(r) = 7*r**2 + r + 2. Calculate -6*l(z) + 11*s(z).\nAnswer: -z**2 - z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5153.1 and -108.9.\nAnswer: -561172.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 0. Sort 11, 5, i in descending order.\nAnswer: 11, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13030, 12988, 12924, 12838?\nAnswer: 12730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*s + 95*s + 4987 = -128*s - 6947 for s.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s - s + 0*s)*(-1 - 3 + 5) - 104 + 84 + 3*s - 87 to d + v*s and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4217 is divided by 63?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 1\/2 in decreasing order.\nAnswer: 3, 1\/2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3074 - -3101. Solve 0 = 9*b + p for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28132.\nAnswer: 2, 13, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00479961658 to 5 decimal places.\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -19*f**3 - 115*f**2 - 6*f. Determine d(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -8 times -17638\nAnswer: 141104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 204 and 12.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -35.7*0.2\nAnswer: -7.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -4*f**2 - 4*f**3 + 1 - f**3 + 4*f**3 + 2*f. Is s(-5) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -64\/3, 23, 6\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2358869 + -2358871.42000256. Let u = 2.42 + b. What is u rounded to 7 dps?\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 92, 198, 316, 452, 612, 802, 1028, 1296?\n\"Answer: v**3 + 99*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = i - 7 + 2, -3*i + 4*o + 15 = 0. Solve 730*s**4 + 731*s**4 + s**5 - 36*s**2 + 2*s**i + 15*s**3 - 1443*s**4 = 0.\nAnswer: -4, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16493\/16868 equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -8*p**3 - 46*p**2 + 65*p + 468. Let o(r) = 33*r**3 + 186*r**2 - 258*r - 1872. Let m(x) = -5*o(x) - 21*y(x). Let m(b) = 0. Calculate b.\nAnswer: -13, -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4136 (base 9) to base 16\nAnswer: -bd6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 499 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 2*s**2 - 5*s + 4. Let j be r(3). Let m be 2\/(-5)*(65\/j + 2). Put 1\/29, m, -5 in descending order.\nAnswer: m, 1\/29, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1109 times -910609?\nAnswer: -100986.5381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 5 (b) -0.27 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2105\/2 + -1052. Put 0, n, -17 in ascending order.\nAnswer: -17, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-20 + 58))*(-3)\/9.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 4, 1\/2, -2\/23, 0.68?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-3))\/((-2)\/51). Let p = 43 + -10. Let n = p - q. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2257*f - 233*f - 1015*f - 7 - 21 - 1010*f.\nAnswer: -f - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 635, 639, 645, 653, 663, 675, 689?\nAnswer: 705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -155034 and 53?\nAnswer: -8216802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 26274*n. Let m(a) = a. Determine m(d(b)).\nAnswer: 26274*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -265566*c - 2921250. Calculate o(-11).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of h**5\/60 + h**4\/4 - 3*h**3\/2 + h**2. Let a be x(-7). Suppose 3*b = -b - 12. Is a greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2950*x + 7359*x + 3775*x + 419166 = -4518*x for x.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -715*n - 32 = -4*d - 711*n, 3*d + 3*n - 104 = 2*n - 88 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -6*d + 3. Let m be z(-1). Let o be m\/3 + 15 + 4\/2. Suppose -4*b + o = 0, -3*t + 2*b - 559 = -7962. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59359158 * 0.2\nAnswer: 11871831.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of 0*m**4 + 1\/2*m**2 + 9\/5*m**5 + 230 + 0*m**3 + 199*m. Differentiate q(z) wrt z.\nAnswer: 36*z**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**2\/3 + 4*o\/3 + 5\/3 = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 8*r**2 - 2*r - r - 7*r + 0*r - 2*r**3 + 4 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19.1 - 21.1. Which is the smallest value? (a) s (b) 1\/10 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1001503 (base 6) to base 15\nAnswer: de20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 - 5)*(-1 - 2*r + 1) + (2*r + r + 0*r)*(-5 - 3 + 0).\nAnswer: -26*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 809347 to the power of 1\/2, to the nearest integer?\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1574*f**2 + 44*f**2 + 2*f - 2*f.\nAnswer: -1530*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 divided by 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001010010 (base 2) to base 5.\nAnswer: -4334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/36 of a week in seconds?\nAnswer: 16800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 9 = -0. Suppose 0 = -t*u - 2*y - 3*y, -4*y = -2*u + 22. Solve -u*i + 4 = -1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y + 2. Let s(o) = 2*o + 2. Suppose 3 = -a - 0. Calculate a*s(j) + 2*p(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 53901133 and 143.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + -6)*(-4)\/12. Suppose 27 = u*c - 1. Let g be 671993\/c - 2\/(-4). What is g rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7615576662 - -0.3\nAnswer: 7615576662.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -23, -67, -159, -323, -583?\n\"Answer: -4*m**3 - 16*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + 11*o**2 - o - 5. Let f be x(-11). Let u = f + 12. Let h = 2 + u. Calculate the highest common divisor of 10 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/4)*g)\/g*g*g*g*g**(-7)*g*g*g*((g*g**(-4\/5))\/g)\/(g\/(((g\/(g*(g*g**(-6))\/g)*g)\/g*g*g*g)\/g*g)))**(3\/14) assuming g is positive.\nAnswer: g**(51\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -91.2 - 28.8. Let p = k + 119.9999733. Round p to six decimal places.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7.2*-330\nAnswer: -2376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 m when four letters picked without replacement from {s: 9, m: 6, f: 4}.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1057 or -0.265?\nAnswer: -0.265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/6, -2\/15, 2, -20 in decreasing order.\nAnswer: 2, 5\/6, -2\/15, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g*p**4*w - 26*g*p**4 - g - 2*p**4 - 2*p**2*w - 3*p**2 wrt p.\nAnswer: 24*g*p*w - 624*g*p - 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(0 + (-4)\/6). Let p = v - 5. Let o(h) = -h**3 + 4*h. Let r(b) = 3*b**3 - 9*b + 1. Let x(c) = 5*o(c) + 2*r(c). Give x(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 5482*f**2 + 20*f. What is the thousands digit of k(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -6) + -4 - 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -18. Calculate the smallest common multiple of 25 - ((-14)\/161 - (-2)\/23) and i.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22920 is divided by 5447?\nAnswer: 1132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 25*x + 30. Let z(f) = 5*f + 6. Calculate 2*p(y) - 11*z(y).\nAnswer: -5*y - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) + -1)**2 - sqrt(425)*-2.\nAnswer: -14*sqrt(17) + 2449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 3*u + 34. Let t = -31 - u. Let w(b) = 3*b**2 - 3*b + 8. List the prime factors of w(t).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-1782)\/(-20 + 5 + 13) and 486.\nAnswer: 5346","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2 - 4 + 1 + 0 - 3 + (-3 + 1 + 4)*(2 - 3 + 2) - 3 - 3 + 4 - 4 + 2 + 0 + 2 - 6 + 3 + (6 + 0 + 0)*(1 + 5 + 5) - 4 - 3 + 5)*(0 + 2*s + 0).\nAnswer: 124*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -20*u. Let k(g) = 197*g**2 + 8*g - 8. Let h(w) = -8477*w**2 - 343*w + 343. Let q(v) = 8*h(v) + 343*k(v). What is p(q(z))?\nAnswer: 4900*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -893 + 897. Solve -9*j - x - 19 = -f*j, 5*j = -3*x - 17 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**3 - 4*z**2 + 3*z - 4. Let w(b) = b**3 - 3*b**2 + 2*b - 3. Let g be (-30)\/4*(-20)\/25. Suppose -h - g = h. Determine h*w(c) + 2*l(c).\nAnswer: c**3 + c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 907244141?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 56508.959 to the nearest ten.\nAnswer: 56510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*p**2 - 2*p**4 + 17*p + 7*p**4 + 4 - 8*p**2 - 10*p**2 in the form l*p + j*p**4 + z*p**3 + a*p**2 + k and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 12*q**2 + q - 1. Let j(g) = -26*g**3 - 81*g**2 - 7*g - 1. Determine -7*d(y) - j(y).\nAnswer: 26*y**3 - 3*y**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 4\/3*p**3 - 2\/9*p + 0*p**2 + 16\/9*p**4 + 2\/3*p**5 + 0 = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32467 + 324941\/10. Let o = 55\/2 - u. What is the second smallest value in -1\/5, o, 1\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(38)*-6)\/(sqrt(16)\/sqrt(32))*6 + -3)**2*4.\nAnswer: 1728*sqrt(19) + 394020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110011110110101101 (base 2) to base 6.\nAnswer: 14100541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47101 is divided by 15697?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + 19680156704.5.\nAnswer: 19680156705.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -32584.18231 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 795 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242239417?\nAnswer: 7, 19, 103, 17683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 42*b**2 + 3. Let a(k) = -696 - k**2 + 696. Calculate o(a(l)).\nAnswer: 42*l**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 86934202 to the power of 1\/2, to the nearest integer?\nAnswer: 9324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 1565020*k. Let u(d) = -2*d**2. Calculate u(c(n)).\nAnswer: -4898575200800*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from doddddddddddddoo. What is prob of sequence ood?\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11101133 (base 5) to base 6.\nAnswer: 2025135","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iofaahaooi. Give prob of sequence hof.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4*x + 160 = 0. Is x a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1014 is divided by 21?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/8)\/((-1)\/4). Solve 0 = 2*h + b*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 31490 - 10?\nAnswer: 31480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8432 + 8452 = 4*l. Solve -4*i + 41 = -5*h, l*h + 6*i + 13 = 3*i for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + 1)*6*6 + -3 + 1 + 5.\nAnswer: 39 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (272\/32 + -16)*4\/(-5) + 21191. Which is smaller: c or 21198?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 6723*m - 13 + 13452*m - 6750*m.\nAnswer: -21*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 9 (c) 576 (d) -1.3 (e) -0.06 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f. Let r(g) = 18*g. Give t(r(z)).\nAnswer: -36*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/l**(-1\/3)*l)**(-43))**(-1\/11) assuming l is positive.\nAnswer: l**(430\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 4*g - 1. Sort -5, g, -2 in descending order.\nAnswer: g, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1874 - -19.25?\nAnswer: 19.0626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6493, 17379, 28265?\nAnswer: 39151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 23*j**2 + 2*j + 70. What are the prime factors of o(-21)?\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 7*k**2 + 2. Let s be f(7). Suppose -s*t + 6 = 2. Suppose 4 - 20 = -t*i. Calculate the remainder when 13 is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*c**4 - 1910*c**3 - 199633*c wrt c.\nAnswer: 240*c**2 - 11460*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -d**7\/22680 - d**6\/2160 + d**5\/270 + d**4\/12 - 21*d. Let v(c) be the third derivative of g(c). Find p, given that v(p) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 89 + -64. Let x = b + -25. Is -1\/10 not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*j**2 - 18*j**2 + 4*j**2 - 1 + 3*j as g + w*j + u*j**2 and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 3*m + 4*g - 3553, -2367 = -2*m - g. What are the prime factors of m?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/48 and -137\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**4\/2 + 5429913*t**3\/2 - 1228502205243*t**2 + 3685487611056*t - 2456988120768 = 0.\nAnswer: 1, 2, 904984","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122233?\nAnswer: 31, 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -5*f**3 - 82*f**2 - 39*f - 23. Let m be c(-16). Suppose 110 = z + z - 3*d, 0 = -z - d + 45. Let k = m - z. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -31*f + 26*f + 2*a - 1, -10 = 5*a for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(5\/2)*a*a)\/(a\/a**(3\/17)))\/(a**(-11)*a*a\/a**(-2\/3)) assuming a is positive.\nAnswer: a**(817\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*8.292.\nAnswer: 1.6584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -58*t + 426. Suppose 15*q - 16*q - 8 = -4*r, 3*q - t = 4*r. Factor q*n - 4 + 2*n**3 - 1\/4*n**4 - 6*n**2.\nAnswer: -(n - 2)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 5*q**2 - q + 8. Let w be x(4). Find the second derivative of w*v - 37*v + v**2 + 25*v wrt v.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18\/(-63) - (-284)\/14. What are the prime factors of -6 + 1195\/s - 2\/(-8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of -5*(-8)\/1*(-198)\/(-220) and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (125\/(-75))\/(2\/(-6)). What is the greatest common factor of 115 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of s**6\/180 + s**5\/120 - s**4\/36 + 61*s + 1. Factor r(u).\nAnswer: u**2*(u - 1)*(u + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, 1.1, 0.2 in descending order.\nAnswer: 1.1, 0.2, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -146, -342, -1196, -3038, -6198?\nAnswer: -11006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 81 = -4*g, 2*g = 8*t - 9*t + 43. Is 167517\/5 + -3*g\/180 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 54 = -514. Suppose 0 = -5*j - 7 + v. What are the prime factors of j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 115*g**2 + 1. Let h be l(-1). Let n = h - 810\/7. Let f be -3 + (-25)\/5 + 3. Which is the nearest to -1? (a) f (b) 1\/6 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 11140 and 222 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**3 - q + 36. Let r(h) = -h + 3. Let l be r(-4). Suppose 10*g = l + 43. What is the units digit of i(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 522970, 523057, 523144?\n\"Answer: 87*g + 522883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 106160*b + 3290968. Give a(-31).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-8))\/((77\/8)\/7).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, s: 4, q: 8}. Give prob of picking 2 g.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, 1, 799.\nAnswer: 1, 36, 799","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -425700 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 5. Which is the nearest to -1? (a) 2\/11 (b) d (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of c**4\/2 - c**3\/3 + c**2 - 2*c + 2. What is the units digit of u(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 + -18. Calculate the remainder when (-8)\/c*(-46 + 0) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -75*l**2 + 5*l + 188. Let s(m) = 19*m**2 - m - 47. Let t(x) = -9*s(x) - 2*v(x). What is the first derivative of t(i) wrt i?\nAnswer: -42*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {b: 6, l: 3, j: 4}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o + 98 = -15*o. What is the remainder when o is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0 = -2. Let k(s) = -s**3 - s**2 - 1. Let g be k(r). Solve 0*v**3 + 3*v**4 + 0*v**5 - 6*v**3 + g*v**5 + 0*v**4 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12*24\/448)\/(10 + (-532)\/49)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/9, 4, 2\/9, -0.0758, -8.94?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 786a (base 14) in base 4?\nAnswer: 11012012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + -4*(-3)\/(-6))*-2. Solve -2 - x = 2*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1863 + -1863.41. Let d = 5.9 - 5.49. Let m = i + d. What is the biggest value in 3\/5, m, -1\/4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10000012101 (base 3) to base 15\nAnswer: -12814","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 357 = 20*p - 49 + 806 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3 = 0, z = 4*v + 6*z + 5. Suppose 4*d + 67 - 83 = v. Solve -2*k - 8 = -d for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -1381, -18, 2 in descending order.\nAnswer: 2, -18, -24, -1381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nx when two letters picked without replacement from {u: 1, o: 3, x: 1, n: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -661 - -656. Let x = 1 + 0. Let f be (8 - 0)*3\/6. Sort f, -4, x, s in descending order.\nAnswer: f, x, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -2\/9, 143, -0.301 in decreasing order.\nAnswer: 143, 0.1, -2\/9, -0.301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*u + 24*u = -21*u + 460. What is the greatest common factor of u and 230?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*g = 162 - 3442 - 240 for g.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2552, 2553, 2554?\nAnswer: 2555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 8*w**2 - 11*w - 11. Let y be l(-9). Suppose -299*m + 300*m - 5 = 0. Suppose m = 2*t - y. Is t a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+2753\nAnswer: 2752.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 2*m = p - 7, p + 3*m - 14 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -a**4\/4 + 2*a**3\/3 + 2*a + 5. Calculate the smallest common multiple of 18 and m(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 5*z + h - 25, 3*z + 4*h = 36. Suppose 0*d - z = -2*d. Suppose d*a - 12 = -0. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38 - ((38 - 14) + -19)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/14 + 5 + 57\/(-21). Let f be (3 + 0\/1)*1. Sort -1, f, k in ascending order.\nAnswer: -1, k, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d - d + 48 - d + 3*d.\nAnswer: -2*d + 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 147\/2 + -1033\/14. Does -1 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 6*x**2 + 4*x - 6. Let n be o(-5). Let m be 1 + n\/(-1 - -2). Calculate the remainder when (3 - (-102)\/3) + m is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -112 divided by 13\nAnswer: -112\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -232 - -739. Suppose -581 = -4*j + d. Let m = j - 184. What is the greatest common factor of m and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49385835 and 171192.\nAnswer: 3057","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -3. Suppose 6*v = z*v + 12. Let p = 3 - v. Solve h - 3*h + 4 = p for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 234993 and 3994881.\nAnswer: 3994881","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 36692033779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10705 is divided by 984.\nAnswer: 865","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6069297282 minus -255?\nAnswer: 255.6069297282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a - 4. Let u be p(8). Suppose 2*j + 0*y = 4*y + 652, -u*j = 2*y - 1254. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-138)\/70 - -2)*(636\/156 - 4)*13?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152*r = -59*r - 1209. Solve -3*d + 6*d + r = -y, -d + 1 = 3*y for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 - -15. Let u = 11.5 + l. Which is the third biggest value? (a) -5 (b) u (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*t + 6565 = 425*t - 4631 for t.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1931.92005 + 1932. Let d = 0.05 + 0.03. Let x = d - h. What is x rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*a**3 - 23 + 23 - 2*a.\nAnswer: -31*a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -167 + 170. Factor -1\/3*i + 1\/3*i**4 - i**2 + 2\/3 + 1\/3*i**s.\nAnswer: (i - 1)**2*(i + 1)*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (0 + -1 + sqrt(68))*4 + 0)**2.\nAnswer: -144*sqrt(17) + 1169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -53 and 1.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1482 is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(832) - 6*(sqrt(832) + sqrt(832)*1 - sqrt(832))) + 0)*-4)**2.\nAnswer: 320*sqrt(13) + 332801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7366623041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 192424711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9 + -8)\/(4\/228). Suppose 2*a - 6*a + 304 = 0. Suppose -t - t = -a. What is the highest common factor of t and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9800308?\nAnswer: 2, 7, 83, 4217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.2695113 grams?\nAnswer: 269511.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.09 (b) -3.9 (c) -20.4 (d) -0.4 (e) 1\/7 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 23 - 5*z + 31 - 10*z + 2*z. Let i be t(4). Let v be ((-33)\/i)\/(8\/(-800)). What is v rounded to the nearest one hundred?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence js when two letters picked without replacement from xsexxsxjjjsssxjsx?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -73 (base 9) to base 14.\nAnswer: -4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -352401*l**2*o**3 + 18*l**2*o**2 + 10*l**2*o + 42*l*o**2 + 6 wrt o.\nAnswer: -2114406*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + 13. Let p(w) = -w**2 - 5*w + 78. Let i(u) = -u**3 + 13*u**2 - 22*u. Let o be i(11). What is the remainder when p(o) is divided by x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/7)\/((-4)\/(-28)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12 and 40.565?\nAnswer: -486.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 5 - 3)*(74*m + 51*m - 40*m + 382*m) to p*m + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*r + 71*r = 13 - 59 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, 2\/23, -0.1 in descending order.\nAnswer: 3\/5, 2\/23, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 44.87?\nAnswer: 44.87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.1102671 centuries?\nAnswer: 0.01102671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/19, 5, -5, -870, -2\/11, -4.\nAnswer: -870, -5, -4, -2\/11, -2\/19, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 4*o - 223 = -2*y, 0 = 2*y + 3*o - 92. Suppose -y + 18 = -5*n. Suppose 2*k = 21 + n. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 + 2 - 1)*(0 + 2 - 1)*(-10 + 23 - 2)*(5*w - 4*w + 2*w).\nAnswer: -660*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-63)\/27*(-6)\/8. Let x = f + -3\/2. Let r(a) = -a**2 + 1. Let y be r(0). Which is smaller: x or y?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003293525 to seven dps.\nAnswer: -0.0000329","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -6867 in decreasing order.\nAnswer: 2, -3, -6867","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + 2883023.\nAnswer: 2883022.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vq when two letters picked without replacement from qlllvlvvvv?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*f - 12181, 2*f = -3*q + 6*q + 8119. Let d = -2273 + f. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 18\/2) + 3. Let x(j) = -4*j - 20. Let q be x(y). Suppose -16 = 3*g - 1. Which is the nearest to 0? (a) g (b) 0 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.7 + 3.3. Let p(q) = q - 1. Let k be p(2). Let l = -543.07 - -543. Which is the biggest value? (a) k (b) x (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -49*d + 4779. What is p(90)?\nAnswer: 369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -36a2 - 7?\nAnswer: -36a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3 + 83*o**2 - 1036*o - 14112.\nAnswer: -(o - 63)*(o - 28)*(o + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 57.4303 and 282643.\nAnswer: 282700.4303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 - 5*o + 4. Let v(h) = -3*h**2 - 793*h - 11 + 406*h + 401*h. Let a(c) = 14*u(c) + 4*v(c). Factor a(r).\nAnswer: 2*(r - 6)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/sqrt(729) + 1*sqrt(2057).\nAnswer: 100*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -46*l**2 + 3*l + 5. Let o(x) = -16*x**2 + x + 2. What is 8*o(z) - 3*y(z)?\nAnswer: 10*z**2 - z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*j**2 - 107160668*j + 183703920.\nAnswer: 4*(j - 3827165)*(7*j - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 + 7. Let x = s + 29. Let d = x + 17. Round d to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1093646.08+-725\nAnswer: 1092921.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*t = -5301 + 1073 for t.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 1 - (-11 + 5 + 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 28*d**2 + d - 1. What is the smallest common multiple of z(1) and 40?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhbu. Give prob of picking 1 b, 1 h, and 1 u.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -75.7 + 75.4. Let m = 5 + -7. Which is the smallest value? (a) -3 (b) m (c) -6 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1376*g**2*r**2 - 2*g**2*r + 4*r**2 - 301*r wrt g.\nAnswer: -2752*g*r**2 - 4*g*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.01 - 4.01. Let q = 0 + 6. Let g = 6 - q. Sort -1, u, g in increasing order.\nAnswer: u, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.222 - 0.2. Let l = 0.02200043 - w. Round l to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -975*z**4 + 279.\nAnswer: -3900*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 85083314?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - (-9 - -13)) + -15.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhmrcol. What is prob of sequence clo?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -6*h**3 - 101*h**2 - 440*h - 52. What is a(-9)?\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.18652 + 0.21947.\nAnswer: -4.96705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ky when two letters picked without replacement from eiyokko.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(30)\/sqrt(3) - sqrt(10)) + -1*sqrt(160))\/((sqrt(10)\/sqrt(8) - sqrt(5))*5).\nAnswer: 8*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -0*g. Suppose g = 3*o - 652 + 136. Suppose -4*s + 4*h - 343 = 1, -2*s + 4*h = o. Round s to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*l = 90*l - 3659420. Suppose k + l = -c - 98059, 0 = c - k + 463999. What is c rounded to the nearest 10000?\nAnswer: -460000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 - 1)*(-18*a**2 - 18*a + 18*a + (-a**2 + 3*a - 3*a)*(3 + 2 - 4)*(2 - 4 + 1)).\nAnswer: 51*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 93.29786635 to 1 dp.\nAnswer: 93.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -6*b + 2. Let n be c(-4). Suppose 2*w + 161 = 5*i, 5*i + 4*w = 143 - 0. Let l = -18 + i. Calculate the greatest common divisor of l and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 21632 = -5*y + 10844 + 10946, -6*y + 187 = -5*r for y.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/(-5))\/((-621)\/2484))\/((-14)\/5)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 3:45 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -16.1 (b) 0.4 (c) -0.6 (d) -3 (e) 2 (f) 0.2 (g) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*j + 432003 + 820501 = -778252. Is 13 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 6.51\nAnswer: -26.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-91)\/65)\/(17\/2). Let x = a - 2947\/170. Which is greater: x or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/10*(-325)\/(-10) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129957 is divided by 248.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - 0.377?\nAnswer: 0.123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) -0.5 (c) -2\/9 (d) -6 (e) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -3\/5, -3\/88?\nAnswer: -3\/88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 486.1795 litres to millilitres.\nAnswer: 486179.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-120)\/(-5)*(-10)\/(-8)*(-11)\/(33\/6)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 23734*r + 7 + r**2 - 5.\nAnswer: r**2 - 23734*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164 + 131 = -3*c + 28*z - 33, 18*c - z = -1300 for c.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19.68 + -18.68. Suppose -5*n - 3 = -13. Suppose -n*y + 4*h = 2*y, 2*y = h + 3. Which is the third biggest value? (a) y (b) u (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(153)*3.\nAnswer: -54*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.883 and -1456.\nAnswer: -1456.883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.35 + 2.738452094.\nAnswer: 3.088452094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 416 and 70.569.\nAnswer: 29356.704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + (-1 - 19)\/2. Let l be 1\/2 - o\/8. Suppose 4*j = l*j + 6. 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 next in -2219142, -2219145, -2219144, -2219133, -2219106, -2219057?\nAnswer: -2218980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 - 57 = -23*v - 27 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -866 bigger than -2594\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.1 + -0.9. Let v = m + 3. What is the second biggest value in 1\/3, -2\/5, v?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224*t - 220*t - 332 = 0. Suppose 2*f + 80*r = t*r - 1, 5*f + 3*r = 29. Solve -3*v - f = -v - 2*d, 0 = -v - 4*d - 7 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -5 - (3 - 0)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + v)*(v**2 + 0*v**2 + 0*v**2) - v**3 - 5*v**3 + 4*v**3 - 4*v**3 + v**3 - 51*v**3 + 0*v + 63*v**3 - 91*v**3 - 2*v + 2*v.\nAnswer: -83*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -365469\/2044 equal to -180?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 16 = 4*o, -7*s - o = -6*s - 4. Solve 7*k - 2*k + 5*r + 50 = s, -4*k = -5*r - 5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 10 - 18 = 2*p, 4*p = -4*l - 16. Let d = 1 + -13. Let f = d + 15. Sort l, 2\/5, f, -0.4 in ascending order.\nAnswer: -0.4, l, 2\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.2 * 1549.68.\nAnswer: -1859.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.59 or -1\/132?\nAnswer: 0.59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1168528 and 355414?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from rupzp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**4\/7 - 60*r**3\/7 + 351*r**2\/7 - 486*r\/7.\nAnswer: 3*r*(r - 9)**2*(r - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + 26*c + 2. What is the hundreds digit of a(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -51.9913 + 52. What is b rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, -0.3, -17, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6639 divided by 3?\nAnswer: 2213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1*(3 + -2)*-53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from ghh?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30333267*l**4 + 13*l**2 + 975*l + 7?\nAnswer: 727998408*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 10. Let h(z) = -13*z + 4. Let r(j) = 6*j - 2. Let w(c) = g*r(c) + 2*h(c). Differentiate w(b) with respect to b.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -798 - -869. Calculate the highest common factor of 1633 and w.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 136 - 74 = 0. Suppose -4*m = -9*m + u. Solve m = 3*g + a, -3*g + 0*a = 3*a - 18 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -286 + 21?\nAnswer: -265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -683 or -715?\nAnswer: -715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5 + 5 = -2*j, 2*d - 11 = -3*j. Find the second derivative of 0*o**4 - 10*o + 5*o**4 - 16*o**d + o wrt o.\nAnswer: -132*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h = 19*h + 30. Let q(d) = d**3 - 3*d**2 + 3*d + 9. Let o(v) = 2*v**3 - 5*v**2 + 6*v + 18. Let j(r) = h*q(r) + 6*o(r). What is a in j(a) = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x - 30. Let y be u(0). Let v = y - -40. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8018 + 8490. Calculate the remainder when z is divided by 99.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -55\/9964?\nAnswer: -55\/9964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43 + -42. Let f(s) = -s**2 - 2*s + 1. Determine f(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/9)*z)**47*z**4*z**(-2\/21) assuming z is positive.\nAnswer: z**(3865\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/3*(-5346)\/(-396).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**4 - 6*c**2 + 62 - 141 + 81 to the form o*c**2 + d*c**4 + h*c + t*c**3 + x and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(242))\/sqrt(11)*3*5)\/((sqrt(66) - (sqrt(66) + -1*sqrt(66))*-1)\/(5*1*sqrt(6))).\nAnswer: 75*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 7 + (12 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 201289, 402546, 603799, 805042, 1006269?\n\"Answer: -g**3 + 4*g**2 + 201252*g + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21377432 to the nearest integer?\nAnswer: 4624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3.74 or -43?\nAnswer: 3.74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 194530 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 127769 = a, -a + 32*m - 37*m = -127817. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -400 - -457. What is the highest common divisor of 684 and d?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 - (56 + -8 + -27)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -36 - 1.688094\nAnswer: -37.688094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-2) + (-7800)\/(-52). Calculate the greatest common divisor of 9 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23882533981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**2 - 21*q + 48. What is t(-11)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 515136?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -20*l**3 + l. Let f be h(1). Calculate the least common multiple of 132 and 6 - (5 + 2) - f.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -451928, -451920, -451890, -451826, -451716, -451548, -451310?\nAnswer: -450990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34879 is divided by 179?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 8*f**2 - 1. Let x(g) = -g**2 + 3*g + 1. Let s(v) = m(v) + x(v). Let d(k) = 15*k**2 + 5*k. What is -3*d(h) + 5*s(h)?\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-2779)\/8337*6*54\/(-3)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15723255*-5.\nAnswer: 78616275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288) + ((-3*sqrt(288) + sqrt(288))*2)**2 + (5 + (sqrt(288) - (-1 + sqrt(288) + sqrt(288))))**2.\nAnswer: -132*sqrt(2) + 4932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*z + 13 = 36*z. Solve -a + z = 3 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 82586, -129 in decreasing order.\nAnswer: 82586, -0.5, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/9 - 1450*x**2\/9.\nAnswer: -2*x**2*(x + 725)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 3*m, m + v = -0*v. Solve m = -4*n - 3*i + 32, 0 = -2*n - 4*i + 41 - 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.111 take away 40219?\nAnswer: -40218.889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 2*u**2 + 12. Let o(d) = d**2 + 1. Give 2*o(l) - t(l).\nAnswer: -l**3 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 14151634 (base 7) in base 12?\nAnswer: 539b91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 35 = -2*j. Let u(c) be the first derivative of -7*c**2 - 42*c + 1308. What is the tens digit of u(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168096402 rounded to the nearest 1000000?\nAnswer: 168000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and 818379473774.\nAnswer: 818379473777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 + 14. Let t = a + 10. Let i(k) = k**2 + 2*k - 2. What is i(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -8. Let m = -0.093 + -4.007. Let h = m - -4.1. What is the closest to 1 in h, v, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 58692*a + 2641131. Give g(-45).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/6 + 6254*r.\nAnswer: r*(r + 37524)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(19) + 0)*-1 - sqrt(19) - ((sqrt(19) + sqrt(76))*-5 - sqrt(19)))**2 + 1.\nAnswer: 3728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 622 minutes after 6:14 PM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -907.6007626 + 907.6. Round w to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 2*g - 1. Let c be m(-4). Let y = 75 + c. What is the second derivative of -45*h**5 + y*h - 23*h**5 + 29*h**5 wrt h?\nAnswer: -780*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - -1)*(6 + -2). Suppose 3*a + 3*d = -105, a - 80 = l*a - 2*d. What is the units digit of a\/4*14\/(-21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 343 + -2335\/7. Which is bigger: -0.1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 260 = -4*y. Let p = -35 + y. Calculate the remainder when p is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -354076948 divided by -5.\nAnswer: 354076948\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-26)\/4)\/((-3952)\/2432). Solve 0 = -5*t - 5*r, 4*t - r = -j*r for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.948 rounded to zero dps?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -189244, -378572, -567902, -757234, -946568?\n\"Answer: -z**2 - 189325*z + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*o + 70. Let r = o + 20. Calculate the lowest common multiple of 4 - 0 - (-5 + 3) and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 86020?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in two fifteenths of a millennium?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) - (sqrt(243) - (sqrt(243) + sqrt(243)*-3)))*5 + sqrt(243))\/(sqrt(9) - (sqrt(9) + sqrt(441) + sqrt(441)*-3)).\nAnswer: -27*sqrt(3)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -3) + (-2 - (5 - 1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3027965753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1319, 7134, 16827, 30398, 47847, 69174?\n\"Answer: 1939*l**2 - 2*l - 618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 5 = 5*q - 12, 3*q + 3 = -3*s. Solve 3*y = q*y - 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5)\/15)\/((-1)\/15). Suppose 5*q = -5*w + q + 4, 4*w = 5*q - j. Suppose b + 4*b + 30 = w. Which is greater: -5 or b?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*k**5 + 30*k**4 - 125*k**2.\nAnswer: 120*k**2 + 720*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4981, -3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/9*c**3 - 8\/9*c - 352\/9 + 88\/9*c**2 = 0. What is c?\nAnswer: -44, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -10*d**3 - 20*d**2 + 1756*d + 6. Let l(n) = 2*n**3 + 3*n**2 - 1. What is 6*l(r) + m(r)?\nAnswer: 2*r**3 - 2*r**2 + 1756*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*5\/(15\/(-12)). Let t(o) = o**2 - 7*o - 2. Let b be t(6). Let h = b + 13. Solve -4*s + d = 0, h*z + 0*s + 30 = 5*s for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dldd when four letters picked without replacement from {l: 5, d: 7}?\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2785 is divided by 468.\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 228 + 952 = 0. Let u = -121 + -37. Let l = u - z. Does 6 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 41 = 30*y - 21 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -29*o**3\/6 - 3*o**2 - 16*o - 3. Is 25 a factor of j(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/4 (b) 84 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 535 a factor of 4071350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 36*k**3 - k**2 + 2*k - 1. What are the prime factors of d(1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + 28. Let h = c + -17. Calculate the least common multiple of 56 and h.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15087*i**3 + 13382*i**3 + 109 - 109.\nAnswer: 28469*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 8 = -2*l - 23, 0 = -5*d - l + 43. Let s = -8 + 18. Let w(m) = -d - m + s + 2*m. Let h(r) = 2*r**3 - 10*r - 10. Determine -2*h(g) - 20*w(g).\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 4*n - 9 = 0. Suppose -n*b + 0*b = -9. Let a be -1 - (-1 + -1)*2. Solve 3*s + 0 = -5*p - 10, b*p - a*s = -6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -13\/1980, 1.2, 3 in ascending order.\nAnswer: -13\/1980, 2\/5, 1.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 68700297049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 91550 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -1.1.\nAnswer: 3.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 21 (b) -1\/268 (c) 0 (d) 1 (e) -5 (f) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 40*f**2 - 46*f**2 + 15.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/v**(-3\/4)*v*v\/(v*v**7*v)*v*((v*v**(-11))\/v)\/v*v**(-7\/5) assuming v is positive.\nAnswer: v**(-353\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(792)*-2)\/(-3*sqrt(2)*-4).\nAnswer: -sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -937.596 to the nearest ten.\nAnswer: -940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 12874?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 20*j + 84. Calculate i(13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -68063*k + 68051*k - 111 + 39 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.49 - 2.51. What is the biggest value in -2.5, o, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 20*t**2 - 7*t + 21. Suppose 5*l + 38 + 58 = -o, 5*o - 100 = 4*l. Let z be f(l). What is the greatest common factor of z and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i**2 - 5*i + 5. Let v(l) = -4*l**2. Let w be v(1). Let f(q) = q**2 + 2*q - 2. Let s(n) = w*u(n) - 10*f(n). Let t(k) = 17*k**2. Calculate s(t(j)).\nAnswer: 578*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from elbbnnelbbbn. Give prob of picking 2 e and 2 b.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-24))\/(0 - -3).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 291 and 58392?\nAnswer: 5664024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -660*p - 2781 + 12373 + 6121 = -19267 for p.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/1562 and (-378)\/(-70)*(-140)\/(-3696).\nAnswer: 3124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -85 greater than -85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19877 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118 divided by 158.\nAnswer: 59\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(480\/570))\/((-2)\/2)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (18 - 40)) + 2\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 81466*h**3 + 68*h**2 - 55*h + 184438 wrt h.\nAnswer: 488796*h + 136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1578*u - 1030*u**2 - 1503451 + 1503451 wrt u.\nAnswer: -2060","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12503970 a multiple of 2154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1 (b) 122 (c) 4.2 (d) -21 (e) 4\/5 (f) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 344 + 2?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-2)*1\/1. Let d be (2\/2)\/(u\/3). Let x be (-9)\/(-3) + -6 + (0 - -7). Which is bigger: x or d?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h + h - 4*h + (0 + 0 - 2)*(h + 0*h + 0*h) - h + 1 - 1 + h + 3*h - 6*h + (5 - 4 + 1)*(-2*h + 1 - 1) + 0*h + 0*h + 2*h.\nAnswer: -11*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -355360 or -355356?\nAnswer: -355360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 16767?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a kilometer in meters?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + p + a = 214, -3*a - 303 = -3*p. Suppose 10*y - p = 5*y. What are the prime factors of y?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 3*d**2 - 4*d - 1. What is w(3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 499*s**2 - 15*s - 7. List the prime factors of y(-3).\nAnswer: 7, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -656*k + 20757 = 565*k for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 374984370 to the nearest integer?\nAnswer: 721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 9*v**2 - 10*v - 13. Let h be u(-8). Suppose 2*s - 4*s + 255 = h*i, 0 = -2*i - 2. Does 43 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, i: 7, j: 5}. What is prob of picking 1 n and 1 i?\nAnswer: 49\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(21\/7 - 8\/(1080\/395)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 30557, 61127, 91711, 122309, 152921, 183547, 214187?\n\"Answer: 7*f**2 + 30549*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/287112 and 41\/35889.\nAnswer: 287112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-53 - (155 - 388)) + -82.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -10*r + 1795. Let x = r + -535. What is the units digit of 3\/(-15) - x\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 997 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4*u**2. Let v(k) = 398655*k. Give v(q(f)).\nAnswer: -1594620*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jl when two letters picked without replacement from uplpjppcl?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56 and 1148?\nAnswer: 2296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151484?\nAnswer: 2, 37871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5615979*p**2 + 1506529*p wrt p.\nAnswer: -11231958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17220 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 74615 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 330575753 to the power of 1\/3, to the nearest integer?\nAnswer: 691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-238)\/(-5))\/(6\/5 - 1). What is the highest common divisor of f and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -18\/5. Let f = -10.1 - -10. Let v = 38 - 496\/13. What is the nearest to f in v, q, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 66.24879 to the nearest integer.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -8775364, -8775357, -8775346, -8775331, -8775312, -8775289?\n\"Answer: 2*o**2 + o - 8775367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 126360011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -29358 - 2*t + 58710 - 3*t**2 - 29355 + 2*t**3. Let h(x) = x**2 - x + 1. Give 3*h(r) + s(r).\nAnswer: 2*r**3 - 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of 0*a**4 + 0*a**3 + 0 + 0*a - 4*a**2 + 1\/12*a**5 + 1\/30*a**6. What is the third derivative of i(w) wrt w?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -115 (base 7) to base 10.\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6276.2572212 and 5.34?\nAnswer: 6281.5972212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2 + 3*y**2 - 15*y + y**2 - 49*y**3 + 50*y**3 - 14*y**2. Let j = -19 - -31. Is a(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from azkzoowvwwwvkw. What is prob of picking 2 w?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -42967 + 42967 - 233*t - 3*t + t + 0*t + (0 - 4 + 5)*(2*t + t - 5*t).\nAnswer: -237*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmuuumuuu. Give prob of picking 2 m and 2 u.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 5700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26805)\/(-315) - 12\/(-60)*(1 + (-93)\/63)?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -382 - -672. What are the prime factors of d?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 57737188\/550627 - 2\/78661. Let q = g - 4859\/42. Calculate the common denominator of q and 63\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 866102.9km?\nAnswer: 866102900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - h - 5*u = 21, 3*u = -9. Let w(d) be the third derivative of -d**5\/60 + d**4\/2 + d**3\/6 + 3*d**2. Is w(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8399412 to the nearest integer?\nAnswer: 2898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 172028 = 2*m - 5*i, m + 172046 = i. Let z = m - -1374653\/8. Let b = 211 + z. Which is smaller: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 74 - 48. Calculate the remainder when 50 is divided by o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 4)*(0*g + 2*g - g) - 2*g + 2*g - g + 0*g - g + 0*g + (4 - 2 - 1)*(7*g + 2*g - 3*g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -4\/11, 1, -2, -1\/4 in increasing order.\nAnswer: -2, -2\/5, -4\/11, -1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3666 + 4026. Solve z - 372 = 3*n, -4*d = -2*n - 8 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29359129?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -570*c*j**2 + 4*c*j + 17*j wrt j?\nAnswer: -1140*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5292 + 75678*h - 5291 + 8119*h + 10583 - 11058*h)*(4 - 2 + 0).\nAnswer: 145478*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (318*g**2 + 340*g**2 - 176*g**2)*(-148 + 38 + 64) in the form j*g**2 + c + r*g and give j.\nAnswer: -22172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1105, -1116, -1131, -1150, -1173?\nAnswer: -1200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -4.87. Let s = -0.33 + j. Let p be ((-6)\/15)\/((-2)\/(-10)). Which is the nearest to -1? (a) s (b) p (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 1. Let f(l) = -2*l - 13. Let v be f(-6). Let p(z) = z**2 + z + 5. Give v*p(m) + 5*s(m).\nAnswer: -m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6637 - 6639. What is the nearest to 1 in u, -1\/84, -1\/9, 5?\nAnswer: -1\/84","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*w - 23440 = -23410. Which is smaller: 11804 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 18.\nAnswer: -3, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2501 by 123085.\nAnswer: -2501\/123085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14)\/4*(12 - 14). Put n, 3, 8 in increasing order.\nAnswer: 3, n, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 38*s**2. Let r(c) = -44*c**2. Give r(z(v)).\nAnswer: -63536*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4*i + 5 - 1 = 0, 5*z - 2*i - 2 = 0. Suppose z = 15*h - 9231 - 7614. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/61 (b) 3 (c) -0.03 (d) 13516 (e) 4 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + 85. Calculate q(0).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248*p + 703*p = 5460 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 28271, 118452, 268753, 479174, 749715?\n\"Answer: 30060*g**2 + g - 1790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 69, 0.03, -11\/2, 20\/9 in descending order.\nAnswer: 69, 20\/9, 0.03, -5, -11\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -38831325 - 6094?\nAnswer: -38837419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u + 11. Let s(t) = -t - 6. Let r(o) = 4*o + 8. Let l be r(-2). Let w(m) = 2*m**2 - 3. Let k be w(l). Calculate k*j(z) - 5*s(z).\nAnswer: -z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 11 - 55 = 11*l for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 911597630?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 835363 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -88826*n**4 - 102*n**3 - n**2 + 58500407*n wrt n?\nAnswer: -1065912*n**2 - 612*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9527159?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6512, -2571, 3.\nAnswer: -6512, -2571, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.33 in -4, 0.4, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 600150376?\nAnswer: 2, 7, 53, 229, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 1 + 5. Let j(n) = -n**3 + 23*n**2 - 44*n + 40. Let t be j(21). Is (s\/4)\/(t\/(-20)) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 6*w - 1105 = 3*p, 3*p + 1133 = -5*w. What is p rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/1028 and 17\/771?\nAnswer: 3084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -16 - ((-2 - 1) + 3). Let q = 10 + w. Let i(y) = y + 5. Let u be i(q). Which is the third smallest value? (a) u (b) -0.2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6350 (b) -2\/11 (c) 4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*204.\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 54, -5, 12, 4 in decreasing order.\nAnswer: 54, 12, 4, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -579.962 rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 34*t**2. Let p(y) = 2383 - 2383 - 9*y**2. Give p(f(z)).\nAnswer: -10404*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by 873.\nAnswer: -4\/291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*n - 50 + 50)*(1 + 2*n - 1) + (1 - 1 + 2)*(-2*n**2 - 4 + 4).\nAnswer: 56*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 12*a**2 + 3*a + 1. Let z be c(-1). Let w = z + -11. Let v be (w - 18\/(-12))*(1 - -13). Let o(h) = -h**2 + 8*h + 9. What is o(v)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14418\/351 + -41)\/(3\/(-12))\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 68309 by 32.\nAnswer: 68309\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*i = -97*i + 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.28 + -0.16. Let w = g - -0.18. Which is the third smallest value? (a) -1\/6 (b) w (c) 0.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 734, 527, -6 in increasing order.\nAnswer: -6, 527, 734","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.4 (b) -3\/4 (c) 40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1239 - -650. Let g = n + 1205. What are the prime factors of g?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 5 = -13*f + 8*f, -f + 3*u - 1 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnn. What is prob of picking 4 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 20*-6544\nAnswer: -130880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 22 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 7*h + 2*s + 4 = 0, -13 = -5*h + 2*s. Sort -4, -2, h.\nAnswer: -4, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (63 - 119\/2)*2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 149336 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170528990?\nAnswer: 2, 5, 19, 29, 30949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.461 - -0.761. What is the closest to 3\/28 in -0.18, l, -0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 5*s - 547, 442*s + 6 = 441*s. What is the remainder when u is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m\/(m\/(m**(-13)\/m)))\/m)\/m*m\/m**4)**(-43)\/((m**(-2\/3))**(-11)*m*m**(-8)*m**5) assuming m is positive.\nAnswer: m**(2306\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 3*b + 96, 0 = -c - 0*b + 4*b + 26. What is the greatest common factor of 174 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1772, -1765, -1758?\nAnswer: -1751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-4) - 117\/(-36)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -5*o**2 + 70*o + 161. Let d be j(16). What is the biggest value in -1, 1.3, d, -109?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15257 or -15256?\nAnswer: -15256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2629 - -2704. Solve h*l - 88*l = 65 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -6*t - 7. Suppose -2*c + 1 = -3*w, 2*w + 5 = t*c - 9. Suppose -c*m - 25 + 155 = 0. List the prime factors of m.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 99 and 54.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 8*z**2 + 13*z - 10. Let a be y(8). Let j = -34 + a. Is (-1)\/5 - (-25152)\/j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/20)\/(15\/2)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*x + 22*x - 5 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/1)\/1*11\/(-11)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 2 + (5 - (3 + 5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1217539.8 + -11355.45.\nAnswer: -1228895.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4*(3 - 4) - 7. Let k(p) = -7*p - 9. Let c(s) = -6*s - 8. Let z(h) = 6*c(h) - 5*k(h). Let g be z(f). Solve 5*l + 5*m - 15 = g, l - 4 = m + 3 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - -1 - 2\/(2\/(-7)). Calculate the remainder when 92 is divided by ((-72)\/(-21))\/(1\/i).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6002 (base 8) in base 11?\nAnswer: -2345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 299065 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3593?\nAnswer: 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136343*j**2 - j + 136097*j**2 + j.\nAnswer: -246*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 510 and 918?\nAnswer: 4590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w. Let f be o(3). Let a(b) = -b**2 - 5*b - 3. Let k be a(-4). Suppose 2*h = -3*s - 1, k = -2*s - 4*h + f. Is -2 greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -64256 - -64257. Let t = -0.29 + -0.01. What is the nearest to d in t, -4\/3, -2\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 - (6 - (6 - -33)) - 90.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {j: 3, l: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2 - 1502*s - 84180.\nAnswer: -2*(s + 61)*(s + 690)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + m - 203996, 0 = 3*u + m + 267012 - 63008. Round u to the nearest 1000.\nAnswer: -68000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/4079 and -12\/72218695.\nAnswer: 72218695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 41 = 2*f - 61, 0 = -4*f + 3*q + 28. Solve -u - 7 = 5*z, 0*z - 14 = z - f*u for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**3 + 576*s**2 + 1755*s - 2609. What is l(291)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 8 - (-7 - -23 - 18)) + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*u + 145*u - 2*m = 439, 4*m = -128 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 340019, 340012, 340005, 339998?\nAnswer: 339991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9738 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -48 divided by 64\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*z = 2*b - 7, 5*b - 5*z + 5 = 0. Suppose 4*m = b*u + 94, 3*m + 3*u - 9 = 57. Let f = 25 - m. Which is smaller: f or 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4\/3 + 6*t**3 - 112*t**2\/3 + 96*t - 256\/3.\nAnswer: -(t - 8)*(t - 4)**2*(t - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24581*b + 24581*b - 2*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/270 and 23\/675.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1248275 (base 9) to base 2\nAnswer: -10100110011101110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 7*j**3 - 13*j**2 - 7*j. Let h(r) = 6*r**3 - 12*r**2 - 6*r + 1. Let l(z) = -5*b(z) + 6*h(z). Give l(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 194796196 and 12.\nAnswer: 584388588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of h**5\/20 - h**4 - 2*h**3 + 4*h**2 - 5*h. Is o(13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 9\/8 (c) 0.07 (d) -1 (e) -0.44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.061 - 0.039. Let n = r + -0.34. Let c = n - -0.34. What is the fourth smallest value in -1, 0.5, c, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2568900 to the nearest 100000.\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 180, 213, 256, 297, 324, 325, 288?\n\"Answer: -2*u**3 + 17*u**2 - 4*u + 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + l = 14768, 20*g - 17*g + l - 44288 = 0. What is the thousands digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 2.5. Let i = 5.8 + 4.2. Let f = -11 + i. Which is the third biggest value? (a) v (b) -2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - 0 - 130766\/36. Let v = -3639 - n. Find the common denominator of 119\/6 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 77745039?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 238 - 73. Let f = -163 + t. Which is bigger: -4.3 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -260a2 (base 14) in base 9?\nAnswer: -152150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from iffffinnfiiiiiiitii.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -20 + 2415 + -2334?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2375 and 2945?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 - 5*i + 2. Let q be h(15). Suppose 4*s = 4*v + q, 3*s - s - 5*v = 64. List the prime factors of s.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2. Let q(p) = 13 - 6*p**2 + 2*p**2 + 0*p + p**3 - 7*p - 3*p. What is the remainder when q(6) is divided by c(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.6901 rounded to one decimal place?\nAnswer: -35.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -688 in 3, -0.2, -233\/5?\nAnswer: -233\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102466197 is divided by 38?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 379, 2\/7.\nAnswer: -1, 2\/7, 379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 5*r**2 - r + 4. Let a be f(-4). Let k = -6 - a. Calculate the highest common factor of 10 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85594, 85598, 85604, 85612, 85622, 85634?\nAnswer: 85648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15236 + 15238. Which is the closest to 1? (a) 73 (b) w (c) -0.105\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9, 0.2, 33\/7, -2\/185?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4007850 is divided by 1157?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 686013, 2744059, 6174151, 10976301, 17150521, 24696823, 33615219?\nAnswer: 43905721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(560) + 2*sqrt(560))\/(sqrt(28)*5 + sqrt(7)).\nAnswer: 12*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 8 + 6)*(353*d**4 + 180*d**4 - 81*d**4).\nAnswer: 4972*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5128, -20454, -45996, -81754, -127728, -183918?\n\"Answer: -5108*z**2 - 2*z - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -126294.2926 - 75.5.\nAnswer: -126369.7926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-12)*108\/198*88\/32\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3*p**2 - 301*p + 301. Calculate y(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -89, -170, -251, -332?\n\"Answer: -81*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 14 = 0, 4*u = 2*w - 154 + 130 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b**3 + 6737*b**2 - 197024*b - 49677 = 0. Calculate b.\nAnswer: -1713, -1\/4, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**2*v**2 + j**2*v - 10*j*v + 216*v**2 - 17*v wrt v.\nAnswer: 2*j**2 + 432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(6*(-1 + sqrt(891)) - (-2 + -1*sqrt(891)) - (4 + sqrt(891) + -1 + -4 + -1 + sqrt(891))) + 5)**2.\nAnswer: -6750*sqrt(11) + 557100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (163 - 181) + 5 + 27\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -9*o. Let n(v) = 17*v**2. Determine u(n(g)).\nAnswer: -153*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -j**8\/1680 - j**7\/420 + j**5\/60 + j**4\/24 - j**3\/3 - 5. Let c(a) be the third derivative of h(a). What is x in c(x) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 394 a factor of 106730410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 4*o - 6*o + 26 = 0, -j = -o + 4. Let k(w) = -w**2 - 10*w - 10. Give k(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 - 32. What is the third biggest value in -5, l, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/8)*h**(-18)\/h)\/((h**(6\/11)\/h)\/h*h**(-8\/7)) assuming h is positive.\nAnswer: h**(-10181\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.061601 and 10.\nAnswer: 10.61601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 152 = g, -3*m - 86 = -4*g + 511. What is the smallest common multiple of g and 2?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v - 10*v + 0 + 0 = 0, 42 + 10 = 2*w - 11*v for w.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*i - 6 = 0, -2*n - 2*i - 11 + 21 = 0. Find the third derivative of 17*r**2 + 51*r + 61*r - 112*r + 52*r**n - 245*r**3 wrt r.\nAnswer: -1158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by -3494677.\nAnswer: -11\/3494677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -44, 92, 466, 1198, 2408, 4216, 6742, 10106?\n\"Answer: 20*k**3 - k**2 - k - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190 = -894*k + 895*k. Is k a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40292.428402 - -169\nAnswer: -40123.428402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -16 (b) -12 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of 331*m**4\/2 - 88*m - 708. What is the first derivative of j(b) wrt b?\nAnswer: 1986*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4424 by 2212.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixteenths of a minute in milliseconds?\nAnswer: 26250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 1754342848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(2\/19)*z*(z*z**(1\/6))\/z*z)\/(z*z**(1\/2)\/z)**40 assuming z is positive.\nAnswer: z**(-1907\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, l: 2}. What is prob of sequence wlw?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 732 + -726. Solve 3 - 33 = -m*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuwzzzzuuuwwww. Give prob of picking 1 u and 2 w.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12715518 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: Let q(h) = 55*h + 2340. Let x(t) = -8*t - 328. Calculate 2*q(a) + 15*x(a).\nAnswer: -10*a - 240","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 11*h**2 - 9*h - 7. Let w be m(10). Let t(c) = c**w + 3 - 2 - 2*c**3 + c**2. Let q = 369 + -367. Give t(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/(((-212)\/106)\/((-2)\/(-1))).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tak when three letters picked without replacement from auvcukvt?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lu when two letters picked without replacement from ulllllul?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13714 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 0*v - 2*v - 170, 0 = r + v - 27. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125) + (-1 + sqrt(125) - sqrt(125)))*-6 + ((sqrt(125) + 1*sqrt(125) + 0 + sqrt(125) - sqrt(125)) + sqrt(125) - sqrt(125)))**2.\nAnswer: -240*sqrt(5) + 2036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*r**5 + 160*r**4 - 1460*r**3 + 720*r**2 + 25920*r + 34560 = 0. Calculate r.\nAnswer: -2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1585925.8 to the nearest ten thousand.\nAnswer: -1590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 18*l**2 + l - 2. Let o be (-6)\/(-18) - (-8)\/(-6). Let q be (o\/(-3))\/(3\/(-27)). Is g(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/23 - 28*x**2\/23 - 66*x\/23.\nAnswer: -2*x*(x + 3)*(x + 11)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -209.5 + 209.2. What is the second smallest value in -27, -2\/13, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 455 and 4865?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 837, 919, 1115, 1485, 2089, 2987?\nAnswer: 4239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 - 4*x + 4. Let w be v(-3). Suppose -10*z + 609 = b - w*z, -2*z - 1849 = -3*b. List the prime factors of b.\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -53, 768, 394, -5 in decreasing order.\nAnswer: 768, 394, -5, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 89.8 + -89.9. What is the fourth biggest value in -0.4, -2.4, -1\/3, k?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*v - 23*v**3 + 2*v - 15*v**2 + 6 + 4*v**3 + 13*v**2 - 4 to m*v**2 + f*v**3 + h*v + t and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + -1)*8\/12. Let r = 1.2 - 0.2. What is the biggest value in r, i, -0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36*y**4 - 2*y**3 + 193426*y**2 + 26555899*y wrt y.\nAnswer: -432*y**2 - 12*y + 386852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 11*l**3 + 2*l**2 + 2*l. Calculate c(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25393367.\nAnswer: 19, 1336493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m + 34. Give b(-14).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*n + 199823 - 201163 = 0 for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 684443830?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -30*v**2 + 18*v. Let p(t) = t**2 - t. Let l be ((-58)\/(-145))\/(1\/(-5)). Give l*j(n) - 36*p(n).\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d - 26*d**3 + 6*d + 34*d**3.\nAnswer: 8*d**3 + 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5*z = 17 + 14, 0 = 5*l + z - 64. Calculate the remainder when 4067 is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/20 of a milligram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2cdf (base 16) in base 5?\nAnswer: -331422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -4*n**3 + 2*n**2 + n - 6. Let g be s(-2). Suppose -4*k = 5*l - 14, l = -3*k + 8*k - g. Suppose f - 20 = -2*p + k*p, f - 2*p = 18. Does 2 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8c28 + 4?\nAnswer: 8c2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 47029 and 2175540?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*x + 1746*x + 32*x)*(2*x + 0*x + 0*x).\nAnswer: 3526*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 7:58 AM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 611.999999882 + -612. Round y to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a + -514?\nAnswer: -4c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(((c*c*c**(-2\/7)\/c)\/c)\/c)*c*c\/c**(-2\/33) assuming c is positive.\nAnswer: c**(1004\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 37140777.8 + -171.13?\nAnswer: 37140606.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1166150, -1166143, -1166136, -1166129, -1166122, -1166115?\n\"Answer: 7*j - 1166157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 2.9. Let t = 16 - 15.6. Which is bigger: g or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*x - 16 = 15*x. Suppose -4*u = -4*o + x, -3*u = 3*o - 0*o - 15. Suppose -o*w + 40 = 2*w + 3*i, -2*w + 4*i = -16. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 19.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 6 (b) 0 (c) -86\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -44, -53, 5, -153 in descending order.\nAnswer: 5, 2, -3, -44, -53, -153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-25)\/i)\/(i\/i**(-2\/5)))\/((i*i\/i**(-21\/2))\/i**(1\/27)) assuming i is positive.\nAnswer: i**(-10763\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*5*-4*(-1 + 2*sqrt(300))*-5*4*-3*-2.\nAnswer: -240000*sqrt(3) + 12000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16861110 is divided by 382.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 873? (a) 0.5 (b) 2\/9 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*k + 24. Let d be k + 2\/(-2)*4. Solve 5*y = 6 + d for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, 0.3, -1041?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a*a**(-2\/9))**(-24\/11)*(a**6)**(-50) assuming a is positive.\nAnswer: a**(-10100\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -7 (b) -3 (c) 0.6 (d) 4 (e) 2 (f) 0.3 (g) -53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 55 - 53. Suppose -a*o + 3*o - 16 = 0. Calculate the remainder when o is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -17*m. Let u(p) = -9*p**2 + 59*p. Determine y(u(d)).\nAnswer: 153*d**2 - 1003*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 842?\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -22*b**2 + 6*b. Let r be 10 - ((26 - 14) + -8). Let f(l) = -21*l**2 + 5*l. What is r*f(j) - 5*p(j)?\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 13, 31, 57, 91, 133, 183?\nAnswer: 241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**2. Suppose -4*b + 3*m - 12 = -2*m, -b - 4*m = -18. Let k(i) = -7*i**b + 10*i**2 + 10*i**2. What is c(k(u))?\nAnswer: 338*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*x + 3*v = -2809, -4*x = -769*v + 765*v + 188 for x.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20056910 less than 1.167?\nAnswer: -20056908.833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*o**2 + 22*o**2 - o**2)*(-2*o**3 - o**3 + 0*o**3).\nAnswer: -36*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2839 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of -67*a**6\/20 - a**4\/12 - 288*a**3 + 4*a**2 + 2. Differentiate m(g) with respect to g.\nAnswer: -1206*g**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/67 (b) -2\/13 (c) 23 (d) 5\/6 (e) 2\/35 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (15\/(-6))\/1*(-108)\/10. Let b be 72\/48 - 5\/(60\/x). Which is smaller: 21\/5 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 6*l - 18. Suppose -a - 8*f = -3*f + l, -f = 5*a + 6. Let k be 0\/((-1 - a) + 1). Solve k*b - b + 1 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 810?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 187\/14370 and -31\/2900.\nAnswer: 4167300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/5, -1932184, -0.02?\nAnswer: -1932184","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j*z**2 - 2*j*z + 92855*j + 9692*z**4 + 2*z - 1 wrt z.\nAnswer: -4*j + 116304*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 4*k**2 - 9*k + 6. Determine o(6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) -0.6 (c) 69 (d) 2 (e) -1\/73 (f) -4\/7 (g) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k**2\/3 - 256*k\/3 - 48 = 0 for k.\nAnswer: -36, -4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 divided by 3.\nAnswer: 38\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/6652 and -59\/664.\nAnswer: 1104232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 6*g**5\/11 - 11806*g**4\/11 + 43238*g**3\/11 - 5358*g**2 + 35356*g\/11 - 7856\/11 = 0.\nAnswer: 2\/3, 1, 1964","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-3) - 0\/(80\/8).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**3 - 27*r**2 - 38*r - 80. List the prime factors of q(-16).\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4261021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -27952*t + 431. Is n(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - w**2 - w - 1. Let z be ((-24)\/(-9))\/4*3. Let u be g(z). Put -2, u, 0 in descending order.\nAnswer: u, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 88\/39426525 and 7\/1625?\nAnswer: 2562724125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2288 and 360464.\nAnswer: 3965104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -35*t**2 + 1. Let z be c(2). Let q = 245 + z. Suppose 0 = x - 3*x + q. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 14 + 4. Suppose -2*t + n*t = 3*s + 24, -4*t + 24 = -2*s. Solve -g = -t*q - 2*g + 9, -4*q - 5*g = -29 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 604\/((-32)\/56 + (-15)\/(-21))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5 - 1 = 0. Let x be ((-114)\/(-8))\/(0 - -3). Let o = 5 - x. Which is the biggest value? (a) o (b) m (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 1a05b?\nAnswer: -1a058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 71 = -16. Let x(b) = 2*b**2 - 15*b - 10. Is x(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -102 - -164. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x - 31*x = -127120. What is the remainder when x is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*j - 320 = 16*j. What is the remainder when 1839 is divided by j?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 121847?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1770390?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-316 - -309) + (2 - -13).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 7 + 8)*(42*l**4 - 212*l**3 + 212*l**3).\nAnswer: -126*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1536 divided by -6?\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -45 + 50. Solve 2*v + 6 = 3*s - 1, 4*v - 41 = -f*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 130*v - 731. Does 22 divide n(21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 185197 and 1353.\nAnswer: 6111501","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6081327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/357 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 651643 is divided by 651331.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 7*u**2 + 9*u - 15. Let j be v(6). Suppose -j*k - h + 17 = 2*k, -5*h - 3 = 3*k. Solve 0 = 4*x - k*s - 1 - 23, 2*x + 2*s = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, a: 4, u: 8}. Give prob of sequence auuu.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*o + 4 = 0, -q + 4*o - 8 = 2*q. Solve q = 3*s - 5*s + 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -221*l + 6. Let g be t(3). Let c = 347 + g. Round c to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.028 - 10. Round o to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 (base 14) in base 8?\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1578046 and -9.2.\nAnswer: 1578036.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-2 - (2 - -2)) + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(91) + (sqrt(91) - sqrt(91)*-2) + sqrt(91))*4)\/((sqrt(567) + 1*sqrt(567))*-4).\nAnswer: 5*sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + ((6*((sqrt(1331) - (sqrt(1331)*2 - sqrt(1331))) + -2 + sqrt(1331)))**2 - (-2*sqrt(1331) + -3 + (sqrt(1331) - (sqrt(1331) + -1))*5)) + 2).\nAnswer: -7810*sqrt(11) + 240290","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of -m**7\/13860 - m**6\/1320 + m**5\/165 - 34*m**4\/3 - 37*m. Let j(b) be the third derivative of n(b). Let j(v) = 0. What is v?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 h when four letters picked without replacement from vzhhzzzzzhzhzhvz.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*i + 20*i + 52 - 52.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4213100 = -4*c. Suppose -885843 = -2*r + 5399397. Let a = c + r. Round a to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 3*r - 15*r**2 + 48*r**3 - 10*r**3 - 5*r**3 + 5*r - 5*r**3 in the form w*r**2 + a*r**3 + i + x*r and give a.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1649158039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -59 + 120. Suppose 0 = -2*b - b + 63. Calculate the remainder when a is divided by b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 761804216 divided by -190451054.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 32391391?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -3*u + 97, -5*j + 4*u + 231 = -0*u. Find the common denominator of 18\/25 and j.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 8) to base 12\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 50, 84, 114, 140, 162?\n\"Answer: -2*q**2 + 40*q + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -1. Let s = -0.148 + 5.148. Sort c, s, 0.1.\nAnswer: c, 0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n**2 + 1. Let i(a) = -3*a**2 - 5*a - 6. Let x(m) = f(m) - i(m). Give x(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2250 divided by -15\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2292865875?\nAnswer: 3, 5, 2038103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) 14 (c) 165.551 (d) -5 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -535180, -2140732, -4816652, -8562940, -13379596, -19266620?\n\"Answer: -535184*j**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -55500000 rounded to the nearest 1000000?\nAnswer: -56000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/159961 and 2\/103 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lo when two letters picked without replacement from ooohtloootlohhho?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-105)\/(-45) + 2\/3. Let p(h) = -5*h**3 - h**j - 104*h + 109*h. Let l(r) = 7*r**3 - 6*r. What is -5*l(y) - 6*p(y)?\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35 + -6. Calculate the remainder when c\/9 + (-2)\/9 is divided by (3 + (-26)\/10)\/((-4)\/(-20)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.12 and -0.23?\nAnswer: 0.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-30\/13)\/(r*(r\/(r\/(r*r\/r**(-23)*r)*r))\/r))\/((r\/r**(-3))\/(r**(6\/11)*r)) assuming r is positive.\nAnswer: r**(-4256\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 193493587 to the nearest integer?\nAnswer: 13910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 203419401 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10.9 - -0.9. Let p = 14 + x. Sort 3, 1\/4, p in descending order.\nAnswer: p, 3, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 + 5 = -6*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-16)\/6)\/((-14)\/105). Let -5*g**4 + 5 - 18*g - v*g + 10*g**3 + 28*g = 0. Calculate g.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4740 = 6*x - 4326. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 10:51 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -p**4 + 30*p**3 - 150*p**2 + 20406*p - 12?\nAnswer: -12*p**2 + 180*p - 300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v - 43 = 14*t - 13*t, -t + 45 = -4*t for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28130.\nAnswer: 2, 5, 29, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34.8 - -0.2. Let z = d + -33. What is the biggest value in z, -2, -2\/3, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -21 (b) 1\/5 (c) -1 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -360 + -716. Let i = 1820 + f. What is the hundreds digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3356.998359 + 3357. Round x to four decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.2079 to zero dps.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 5*c - 5*t - 6290, -1258 = -c + 4*t. Is 13 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence itaa when four letters picked without replacement from {a: 3, i: 1, w: 2, t: 1}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -132*b*u**4 + 659*b*u**3 + 20409*b*u + 3*b + 1 wrt u.\nAnswer: -1584*b*u**2 + 3954*b*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 415123*h**2 - 48 - 415110*h**2 to r*h + u + k*h**2 and give k.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/8 - (-35)\/(-60). What is the nearest to 5 in z, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00999 rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2037*g**2 + 16 - 2 - 226*g**2.\nAnswer: -2263*g**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-4 - (1 + (-1 - 6)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*r = 27*r - 49. Which is the second biggest value? (a) -1\/3 (b) r (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -9*s**2 + 4*s - 55. Let j(a) = -11*a**2 + 4*a - 54. Let w(v) = 5*j(v) - 6*l(v). Let w(t) = 0. Calculate t.\nAnswer: -10, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(2) + (-2*sqrt(8))**2 - sqrt(162)) - (5*sqrt(288))\/((sqrt(72)*-1)\/sqrt(8)).\nAnswer: -20*sqrt(2) + 160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -174 divided by 14359?\nAnswer: -174\/14359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 15*b**4 - 129*b**3 - 204*b**2 - 60*b = 0.\nAnswer: -1, -2\/5, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 + 8 = 10*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1)\/c**(-1\/2)*c**(3\/4)*c**(2\/13)\/c assuming c is positive.\nAnswer: c**(-31\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4\/10 + 7*c**3\/10 + 9*c**2\/5 + 2*c + 4\/5.\nAnswer: (c + 1)*(c + 2)**3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 774 divided by -29?\nAnswer: -774\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*j**2 + 27*j + 160*j - 187*j.\nAnswer: 19*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t - 3*t + 6*t)*(5*t - 2*t + 2*t) + 1 - 1 + t**2 + 1 + 3*t**2 - 1 + (-3*t + t + 3*t)*(0*t - t + 0*t) to the form q*t**2 + x*t + k and give q.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-58990)\/70550 - (-3 - 40\/(-12))\/(65\/(-156)).\nAnswer: -3\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 27*13197\nAnswer: 356319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1819203 a multiple of 338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -187 - -2.3\nAnswer: -184.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*a + 118*a = -117*a - 6798 for a.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((1 + (sqrt(847) - (sqrt(847) - sqrt(847)*-2))**2 - (-3 + (sqrt(847) - sqrt(847)*-2))**2) + -1*(1 + sqrt(847))*-6 + 5)*-4.\nAnswer: -101568 + 6336*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/(-45)*(-6)\/(-4). Suppose -3*s + 3*t + 12 = 0, 4 = -t + 5*t. Let q = 6696\/13 + -515. Which is the nearest to -0.1? (a) s (b) y (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -x**9\/1512 - x**5\/120 + 2*x**3\/3 - 3. Let q(d) be the third derivative of z(d). Find the second derivative of q(c) wrt c.\nAnswer: -40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 30\/8 - 66\/88. Let l(k) = 32*k + 16. Let y be l(x). What is the greatest common divisor of y and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37802\/777 + -4\/259. Let u = -48 - a. Let r = -0.9 + 1. Which is smaller: r or u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + c = 0. Suppose c = n - 15 - 2. Suppose 2*j + 0 - 2 = 0, n = 2*s - 5*j. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -4*m - 16. Let j be t(-5). Let y(n) = n**2 - 3*n + 3 - 5 + 0*n**2. Let v be y(j). Which is the second biggest value? (a) 0.5 (b) v (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 + -0.5. Let v = 108.59 - 110.49. Sort v, -3, 3\/4, o in increasing order.\nAnswer: -3, v, o, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*b**4*q - 993*b**3*q - 8808*q - 2 with respect to b.\nAnswer: 52*b**3*q - 2979*b**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fifty-three quarters of a kilometer?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 519566767?\nAnswer: 17, 30562751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m + 15 = -35 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(19\/5)*v**25\/v)**(-41) assuming v is positive.\nAnswer: v**(-4346\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*g**3 + 130 - 130.\nAnswer: 82*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 11, z: 1}?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and 5737?\nAnswer: 34422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 74894157 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) -20 (c) 0.5 (d) -31717 (e) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(-18)*k))\/(k**(4\/3)*k)*((k*k\/(k*k\/(k\/k**(6\/5)*k))*k*k)\/k)\/k*k*k**(2\/7)*k*k assuming k is positive.\nAnswer: k**(2074\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 96 = -5*q + 1444, u = -4*q + 1225. Suppose 0 = -2*m + 285 - 15. Suppose -8*c = -q - m. Is 11 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 9, m: 1, u: 1, w: 3}. Give prob of picking 1 i and 1 u.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1416, -1415, -1412, -1407?\nAnswer: -1400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/12 - 280\/6. Let y = 96 + r. Let t be (7\/3)\/((-1)\/(-3)). What is the highest common divisor of y and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1079446650?\nAnswer: 2, 3, 5, 47, 153113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6612 a factor of 882742600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 881\/378 - 7\/27. Calculate the common denominator of t and -23\/70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhv when three letters picked without replacement from ryrrrhhvhrvhyhhlvy.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 + 3)*(2*q**3 - 2*q**3 + 3*q**3) + 2*q**3 + 0 - 3*q**3 - 1.\nAnswer: 11*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1144\/1170)\/(-22))\/(3\/(-30)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3242177 minus -36769?\nAnswer: -3205408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 9*f + 15. Let q be z(10). Suppose 10 = 5*x - c + 9, 4*c - 21 = -q*x. Let p(k) = -k + 1. Let u(g) = g. Let w(a) = p(a) - u(a). What is w(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/11)\/t)**46\/(t\/((t**(-15)\/t)\/t)*(t\/(t**(-1\/5)\/t)*t)\/t) assuming t is positive.\nAnswer: t**(-4101\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1847 + 1843. Which is the second smallest value? (a) -5 (b) 57\/5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -3. Let h = 3 - s. Find the first derivative of 2*q**2 + 1 - 3*q**h - 3 wrt q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lrlluvuvunlllvv. Give prob of sequence vlnr.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*f + 31 = -2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(88\/(-144) - (-2)\/3). Suppose 0 = 4*w + 14 + 10. Let o(z) = -3*z + 6. Let v be o(w). What is the greatest common factor of b and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1137595*o**3 - 483*o**2 - 476*o?\nAnswer: -6825570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 319739?\nAnswer: 7, 45677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 2*y + 13. Let j be s(-2). Suppose j*t = 4*h - 148, 2*t = -h + 51 - 14. What is the remainder when 184 is divided by h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 92 and 1434641882.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -524 > -527?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 122680 and 66090?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 13 + 0 + 1 - (4 - 0). Let n be ((-4)\/(-8))\/((-1)\/(-4)). Suppose n*u - w = -2*a, -4*u - u = a - 9. Solve 1 = -3*v + a*b + 4, 4*b = -12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 15585 = -17*o. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -77*h**3 - h**2. Is 9 a factor of g(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -3*c**4 + 121206*c**3 + 1333716*c**2 - 3515814*c - 4728321 = 0.\nAnswer: -13, -1, 3, 40413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24488?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11579713 smaller than 11579713?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*g*p*y + 170*g*y**3 + g + 136*p*y**2 - p*y + 31*p + 2*y**5 - y + 2 wrt y?\nAnswer: 1020*g*y + 272*p + 40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/8 and ((-83)\/(-1448))\/((-168)\/336).\nAnswer: 1448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 617*o**2 - 4 - o**4 + 5 + 2*o**3 + 341*o**2 + 332*o**2 to the form i*o**4 + j*o**3 + x*o + l + b*o**2 and give b.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -46*j**2*s**3 - 2*j**2*s**2 - 434*j**2*s + 2*s**2 wrt s.\nAnswer: -276*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -30303 (base 4) to base 15\nAnswer: -399","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oossoqqsoosmopo. What is prob of picking 1 o and 1 s?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c - 13. What is the remainder when 67 is divided by w(10)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 34*b - 421 = 9*b, -b - 34 = 3*x - 54 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 9 + 8 - 2*r - 18. Let n be a(3). Is n less than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - -305*20\/700.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10655.4 - 10655. What is the second biggest value in h, -3\/10, 0.3, 6\/7, -14?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s + 9. What is r(12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1317.8 * 4\nAnswer: 5271.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of u**4\/6 + 3*u**2 + 196*u. Let q(x) = -1095*x**2. Calculate a(q(l)).\nAnswer: -4380*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 119 - 4*t - 59 - 63 to the form k + z*t and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -21 + 30 + -13 + 0\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3cc9c (base 13) in base 9?\nAnswer: -183583","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - l**2 - 3*l + 5. Calculate the remainder when 97 is divided by m(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 9829*g + 342. What is the tens digit of u(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 9*b**3 - 7*b**3 - 1)*(-384*b**2 + 988*b**2 + 351*b**2).\nAnswer: 1910*b**5 + 955*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 33504.64 hours?\nAnswer: 120616704000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 121\/25, 1\/6, 5\/6 in descending order.\nAnswer: 121\/25, 4, 5\/6, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2188?\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/75 and 101\/19434?\nAnswer: 485850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -974*q**2 + 3 - 836*q**2 + 2*q - 957*q**2 + 3378*q**2 - 842*q**2.\nAnswer: -231*q**2 + 2*q + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (7 - (1 + 5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 54*j**2 - j + 1. Let v be ((-4)\/(-2))\/((-10)\/45). Let z be (-1)\/v + 30\/(-27). Is 32 a factor of s(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1579 - -1582. Let j be (-5)\/2 + 2\/1. Let w = -0.19 - -0.09. What is the nearest to -2\/7 in w, u, j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {j: 6, z: 7}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 237, 1, 22 in decreasing order.\nAnswer: 237, 22, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 3 + sqrt(833))**2.\nAnswer: 28*sqrt(17) + 837","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-826)\/2912)\/(8\/4) and 61\/14?\nAnswer: 2912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6b - eafd?\nAnswer: -eb68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -4 - 10) + 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45 + -43. What is the second biggest value in 3, 0.3, r, -0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from huhhihhix.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -997\/57 + 364\/19. Which is the third biggest value? (a) -61 (b) k (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91 - ((-19 - -123) + -17).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**0*g)**(-1\/26)\/(((g*g*g*g**(-3)*g)\/g)\/g**(-3\/7)) assuming g is positive.\nAnswer: g**(-85\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 36 + 9. Suppose 2*m + 0 = -4*b + 10, -5*m + k = 2*b. Let c(h) = 3*h**3 + 1. Determine c(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1100 and 1658052.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p - 11. Let q = -94 - -101. What is s(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10605 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -20*k**3 - 242*k**2 - 18*k + 14. Is a(-19) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + 6. Let a(l) be the third derivative of l**6\/120 - 3*l**5\/20 + l**4\/12 - 7*l**3\/3 + 2*l**2. Let x be a(h). Solve 0*y - x = y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -3 - 0 - -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 20*b + 10. Let v(i) = -10*i - 11. Let y(l) = -1. Let o(q) = -v(q) + 6*y(q). Let u(d) = -2*c(d) + 5*o(d). What is the derivative of u(a) wrt a?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47336 by -8.\nAnswer: 5917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 6:34 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 58.20403t?\nAnswer: 58204030000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8.3 + 29.3. What is the smallest value in 0, -2\/5, 1\/2, d?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 334 divided by -68?\nAnswer: -167\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(((-6)\/(-44))\/3). Let m = -16 + k. Let o(i) = i**2 - 4*i - 8. What are the prime factors of o(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/27*1*9. Calculate the highest common divisor of b and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 5*y = 11, -5*g = 22*y - 20*y - 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 22 = 82. Let u be 3\/(-9) - (-35)\/l. Let a(o) = -6*o - 3*o - u*o. Let j(x) = -x. Calculate j(a(m)).\nAnswer: 11*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 11. Let s = v + 1. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 10*j**2 + 3*j + 10. Let s(m) = 29*m**2 + 11*m + 29. Determine -17*k(y) + 6*s(y).\nAnswer: 4*y**2 + 15*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -9\/74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8396, 16789, 25172, 33545, 41908?\nAnswer: 50261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-35))\/((195\/182)\/15)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2714902, -2714911, -2714926, -2714947?\nAnswer: -2714974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 2*x**2 - 18*x - 17. Let m be n(-5). Suppose 0 = o + f, 0*f = -4*o + f - 25. Let h = -12 + 15. Put o, m, h in descending order.\nAnswer: h, m, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 949 and 559?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(-6)*s*s**0*(s\/s**(3\/10))\/(s\/((s*s*s\/(s*(s*(s\/(s*s**(3\/2)*s*s))\/s)\/s)*s)\/s)) assuming s is positive.\nAnswer: s**(71\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*g - 10. Suppose 2*i - 1 - 3 = 0. Is (-2)\/(i\/(-9))*g a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10974\/(-914) + 6 + 6. What is the third biggest value in 0.5, 2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/10)\/((-3)\/(-2)). Let f be (-2)\/(-6) + 2\/3. Suppose 2*w - q = 3*q - 2, w + 5*q + f = 0. Which is greater: w or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (6 - 2) + -18 + 6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*f + 7*f**2 - 16*f - 28*f**2 - 41 + 12*f**2 + 10*f**2 + 41.\nAnswer: f**2 - 36*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*q - 10487 + 10031. Solve 32*l - 13 = q*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8744*j**2 - 3*j**3 + 1843*j + 36 - 8744*j**2 with respect to j.\nAnswer: -9*j**2 + 1843","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 313\/3514 - -27\/502. Let -4\/7 + 0*p + c*p**2 = 0. Calculate p.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -320*r - 129 = -1729 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.092 - 2.848. Let m = -0.06 + g. What is the smallest value in 0.2, m, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6 + (-40)\/4)*42. Which is bigger: -169 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7102, 26509, 58852, 104131, 162346?\nAnswer: 233497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1549436)\/(-644727) + (-13)\/13. Let c = v + 3\/11311. What is the common denominator of c and 13\/(5148\/15)*-1*20?\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)\/sqrt(144) + sqrt(40)\/(sqrt(8) - sqrt(32)) + -3*(sqrt(5) + ((-2*sqrt(15))\/sqrt(3) - sqrt(5)))**2.\nAnswer: -60 - 3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*l + 0 + 0)*(4 - l - 4) + l**2 - l**2 - l**2 - 2*l**2 + 3*l**2 + 0*l**2)*(3 - 7 + 2)*(-853 - 251 - 49).\nAnswer: 4612*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1543 = -5*w + k, -w + 44 = -4*k - 257. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163*m + 339*m + 158*m + 155*m - 975*m + 13*m**2 + 160*m.\nAnswer: 13*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19? (a) -2.075 (b) 5 (c) -2 (d) -13\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -879*t + 851*t = 644 for t.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 r when three letters picked without replacement from eruiieuereeeeeugrge?\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7238630, 7238627, 7238624, 7238621?\nAnswer: 7238618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -4*f + 31. Let u be s(7). Does 32 divide 4130\/42 - (-2)\/u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 8*i**2 + 6*i + 51. Let o be w(-8). Differentiate -11 + 18*j**o - 133*j**4 + 2*j**3 - 29*j**4 - 20*j**3 with respect to j.\nAnswer: -648*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 2*j**2 + 5*j - 2. Let y be g(3). Let m = y - 1. Let c(l) = 3 - 3 + m*l**2. Let s(t) = -2*t**2. Determine s(c(h)).\nAnswer: -18*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lmqllzzfllzz. Give prob of sequence zlq.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -5.\nAnswer: -5, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46 - -48. Suppose 0 = s*t - 46 - 262. Suppose -2*w = -t - 6. Calculate the highest common divisor of 16 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5927.9 to the nearest one hundred.\nAnswer: 5900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 53? (a) -0.01 (b) 0.04 (c) 3.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*j**3 - 2\/3*j + 1\/3 - 1\/3*j**4 + 0*j**2.\nAnswer: -(j - 1)**3*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -1\/4*w**5 + 3\/4*w**4 + 3\/4*w - 1\/2*w**3 - 1\/4 - 1\/2*w**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**2 - 14*f - 204. Determine t(14).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -29, 254, 1027, 2536, 5027, 8746, 13939?\n\"Answer: 41*t**3 - t**2 - t - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 214090171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*b = 6 - 49, -o - 2*b = -1. Suppose -r - 3*n = 4*r + 16, -2 = 2*r - n. What is the closest to 1 in r, -5, o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3839322510?\nAnswer: 2, 3, 5, 43, 347, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17097481?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 814 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, -814, 0 in decreasing order.\nAnswer: 0, -46, -814","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 8*q**2 + 9*q + 7. Let v(m) = -2*m + 4. Let x be v(5). What is the units digit of c(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/277560 and -59\/27648?\nAnswer: 35527680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1 + (-3)\/(-2))\/((-2)\/(-412))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*s = -23*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of m**4\/4 - m**3 - 3*m**2 + 6*m - 7. Let r be o(4). What is the units digit of (31 - 6)*r\/(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(294)*3)\/(-6*(sqrt(2)*3 + sqrt(2))) + 0.\nAnswer: -7*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5544 + 16?\nAnswer: 5563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*o - 5*o - 2*o - 16*o + 2*o - 3*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46 + 185\/4. Is m greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -16*g**2 + 1 - 19*g**2 - 1 + 32*g**2. Let z(l) = -l - l + l + 0. Determine z(y(h)).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/r**(-1\/3)*r*r))**(-1\/2))**(-1) assuming r is positive.\nAnswer: r**(-7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ordj when four letters picked without replacement from {r: 1, d: 1, o: 1, j: 1, e: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 6*w - 50 = 0. Solve -x = -6*x - w for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -167, -330, -493, -656?\n\"Answer: -163*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(4\/9))\/((h*h**(5\/4)*h)\/h*h))\/(h**(-3\/2)*h)**42 assuming h is positive.\nAnswer: h**(691\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 979879 to the nearest integer?\nAnswer: 990","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -2*q**5\/13 - 27788*q**4\/13 - 97569464*q**3\/13 - 558725460*q**2 - 27007654086*q\/13 + 34368682320\/13 = 0.\nAnswer: -6909, -72, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11268065 to the nearest integer?\nAnswer: 3357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76, -89, -110, -139, -176, -221, -274?\nAnswer: -335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33 and 561?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -3, 1, -4 in decreasing order.\nAnswer: 1, -3, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 318316 rounded to the nearest ten thousand?\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55 + -25 - (64 + -44) - (-54 - (0 - -1))?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 19 = -2*l, 8*l - 3*l = -2*f + 4. Solve l*k = -k + 9, -2*i + k - 11 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173340 is divided by 8250?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -259 + 254. Let f = -0.26 + 5.26. Let z = f + -5.4. Sort r, 19, z.\nAnswer: r, z, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -13605, -13592, -13579, -13566?\n\"Answer: 13*m - 13618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -56.5563 to 1 decimal place.\nAnswer: -56.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -545 - -557. Let m(p) = p**3 - 27*p**2 + 182*p + 9. What is the remainder when 395 is divided by m(s)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1717052637 and 219.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(x**2 + 0 + 0) + 30*x**2 + 328*x - 328*x - 4 + 4 + x**2 + (-x - x + 4*x)*(x - x - x) + 4*x**2 + 0*x**2 - 6*x**2 + 3*x**2 - 6*x**2 + x**2.\nAnswer: 23*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8923\/8 + 1118. What is the common denominator of d and 11\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 13*r**2 - 40*r + 69. List the prime factors of w(-17).\nAnswer: 3, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 1\/2, 2\/21, 2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 1239477399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1112 (base 10) in base 13?\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 4*j**2 + 4*j + 932. Let y(r) = 2*r**3 + 7*r**2 + 7*r + 1863. Give 7*u(i) - 4*y(i).\nAnswer: -i**3 - 928","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/20 - 470\/(-50). Suppose 2244 = l*m + 8*m. Calculate the greatest common divisor of m and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -1\/22453572?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 6*j**2 - 2*j - 3. Let u be n(-6). Let v(w) = -7*w - u*w + 5*w - w. Let x(o) = 2*o**2. Give v(x(b)).\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 25*g**2 + 6*g - 18. Let l(p) = 25*p**2 + 7*p - 22. What is -6*a(z) + 5*l(z)?\nAnswer: -25*z**2 - z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -g**4\/3 - 4*g**3 + 7*g**2. Let z be q(-6). Suppose -z*o = -25*o + 4. Calculate the remainder when 39 is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of 8*f**4 + f**4 - 23*f**2 - 8*f**4. Let v(g) = -4*g**2. What is y(v(b))?\nAnswer: -96*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 30 - 0*(25\/(-15))\/(-5). What is the highest common factor of g and 84?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 89*t**2 - 627. Let r(k) = 2*k. Give d(r(n)).\nAnswer: 356*n**2 - 627","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131375982?\nAnswer: 2, 3, 149, 146953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 67\/52 + -20\/13. Which is the closest to 1? (a) -0.14 (b) o (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + (-21)\/9 + (-11314292)\/66. What is n rounded to the nearest ten thousand?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 224 + (-95 - 128) - (-20 + 0 - 1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 2*m**2 + 2*m + 3. Suppose 3 + 5 = -4*n. Let d be r(n). Put 5, 2, d in decreasing order.\nAnswer: 5, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3549*b**5\/4 - 144937*b**4\/4 + 250239*b**3\/4 + 174525*b**2\/4 - 75550*b - 19500 = 0.\nAnswer: -1, -5\/21, 20\/13, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 w when three letters picked without replacement from aawaaawa.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4805481?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45 + 49. Calculate the remainder when 7 is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + (31 - 6) - 20.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -130, -116, -88, -40, 34?\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*a - 162 = -21*a. Suppose -82 = 2*t + 4*h, -2*t + 3*h - 11 - 71 = 0. Let p = t - a. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 2*p - 30 = 5*c, 27 = -3*c + 3*p for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 702, 787, 872?\nAnswer: 957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-6*(2*sqrt(162) + sqrt(162))\/sqrt(6).\nAnswer: -108*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 260 - 185. Does 15 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 16) in base 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.039 - 0.039. Let k = -219\/4 + 55. Which is the nearest to k? (a) -3 (b) -1\/6 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(7) + -1 + 2) - 1*(sqrt(21)\/sqrt(3) + 5).\nAnswer: -5*sqrt(7) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h - 6*h + 3*h)*(-1979 + 1979 + 2715*h + 1114*h).\nAnswer: 3829*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 20 + -307?\nAnswer: -277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 225087449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-112)\/21)\/(-2 + (-10)\/(-6)). Let f be (-53)\/5 - b\/40. Let r(c) = c**3 + 12*c**2 + 10*c - 10. Give r(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**5)\/c)\/c*c)**(2\/49) assuming c is positive.\nAnswer: c**(-10\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1 + sqrt(1872)) - -4*(sqrt(1872) - 2*sqrt(1872)) - (1 + -3*(1 + sqrt(13) + -5)))**2 + -2.\nAnswer: -1026*sqrt(13) + 9836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6750 + -6741. What is the third biggest value in -1, j, 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 414856.\nAnswer: 2, 13, 3989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cciccciiuiuiiccccc. What is prob of sequence iuuc?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1*(((sqrt(120)\/(1*sqrt(8) + sqrt(8)))\/(sqrt(27)*3))**2 + 1*(sqrt(5) + 1 + -1 + -1*sqrt(180))**2).\nAnswer: -38885\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.875 + 0.125. What is the nearest to a in -0.4, 1\/4, -1\/8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - m - 1 + 4, 2*d - 24 = -4*m. Solve -5*p = -d*y - 11 + 1, 19 = p + 3*y for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -722 - 247 = 51*j for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1326990 and 8722.\nAnswer: 1246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 11*j + 10. Let y(z) = -7*z - 7. Let n(v) = -5*a(v) - 8*y(v). Let w be n(-3). What is the remainder when w - 52\/(-4 - 0) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -p**3*x + 263*p**3 - 3*p**2 - 20852*x wrt p?\nAnswer: -3*p**2*x + 789*p**2 - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - (-2)\/(4\/(-1)). Let q(k) = 1 - 7 + k + 5. Let r be q(3). Which is greater: p or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-24)\/(-16)*(-2)\/(-1). Suppose 0 = r*w - 4*c + 77, w - 2*c - c + 24 = 0. Let b = w - -31. What is the lowest common multiple of 10 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 5*x - 20992, 41960 = 2*c + 2*c + 2*x. What is the ten thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xu when two letters picked without replacement from {u: 9, x: 2}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**16)*c*c\/(((c**(9\/8)\/c)\/c)\/c))**(-45) assuming c is positive.\nAnswer: c**(4365\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (83\/(2158\/(-624)))\/(-9)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -1) + (-25)\/2 + (12 - 6)\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 3 + 0)*(-3*z - 3*z + 5*z) + 3*z - z - z + 2*z - 3*z + 0*z + 2*z - 3*z + 2*z + 2*z - 4*z + z)*(3 - 5 + 3).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1990259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104 (base 5) to base 15.\nAnswer: 1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**2 - 5*r**2 - 3*r**4 - 9*r + 7*r to v*r + g*r**3 + c*r**4 + f + w*r**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 11:07 PM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 176974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 42 = 2*k, -k + 4*k + 5*g + 30 = 0. Calculate the common denominator of 3\/k + 229\/(-30) and 55\/(-8)*(-27)\/30.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 920.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 56060 (base 9) to base 4\nAnswer: 21011301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 6*t**2 - 2*t - 9. Let o be i(-6). Suppose 0 = 5*r + 3*h, -h = o*r - 3*h. Which is the second smallest value? (a) r (b) -1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 106.5 times 0.0125\nAnswer: 1.33125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, -8\/9, 0.1, -1, -2, -10, 24\/29?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-17)\/o)**(-2\/15) assuming o is positive.\nAnswer: o**(12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 38993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -2*p + 3 + 6, 5*p - 4*t - 29 = 0. What is the tens digit of (-304 - p)\/(30\/(-80))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 929443817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 2*n - 1. Let o be h(-3). Let l = o - 8. Calculate the remainder when 20 is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -807440 or -807439?\nAnswer: -807439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27489161.\nAnswer: 7, 1597, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 249 - 24*s**2 - 503 + 181*s**2 - 11*s**2 + 264.\nAnswer: 146*s**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -24\/7 and 14\/2935.\nAnswer: 20545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zchczuzhzzcjhchjhj. Give prob of picking 2 z.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 6:08 AM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k + 22. Let s be (-1 + (-12)\/(-20))*-35. Let g be p(s). Find the second derivative of -5*r + r + g*r**2 + 5*r**2 + 3*r wrt r.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 24 = -3*x, -3*x + 41 = w + 5. Suppose -14*v = -11*v - 132. What is the units digit of 52\/v - 1 - (-31)\/x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 131\/(-78) - 18\/(-12). Let o = 1481\/429 + u. Find the common denominator of 1\/3*(-776)\/(-16) and o.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 243283 and 5.\nAnswer: 1216415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 5*b - 6. Let t be v(6). Let m(l) = 2*l**3 + l**2 - l + 12. Let a be m(t). Suppose 7*d - a = 5*d. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1496989 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*i = -4440000. Suppose 18*q = 24*q + i. Round q to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x + 12*x = -13*c + 56, -x + 19 = 5*c. Suppose 6*d - 3*d + a = 21, 5*a + 35 = 5*d. Let w = 10 - d. Is c at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*a**2*v**3 + 8813*a**2*v**2 + 2282*v**3 wrt v.\nAnswer: 18*a**2 + 13692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.2798 minus -5?\nAnswer: 10.2798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*h**2 - 158*h + 158*h as q*h**2 + j*h + t and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9861 is divided by 412.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2134420 (base 7) in base 2?\nAnswer: 111111101100011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(20\/(-975))\/((-4)\/(-10))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -1) + (1 - -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -117\/11 or 8983?\nAnswer: 8983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22497714 to the nearest integer?\nAnswer: 4743","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3965 rounded to 2 decimal places?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*g + 1850 + 735. Is 233 smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 11 (b) 4 (c) 0 (d) -2 (e) 68 (f) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**4 + 3*f**4 - 2*f**4)*(-f + 0*f + 3*f) + 424 - 424 + 167*f**5.\nAnswer: 171*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + h + 0)*(-43 + 744 + 1412)*(-2*h + 4*h - 5*h) in the form p*h**2 + k + o*h and give p.\nAnswer: -6339","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66 and 1562?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 372 + -389.7. Let y = z - -12.7. What is the smallest value in 2, y, 1\/5, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 11*h + 6 - 9 to t + y*h and give y.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000541 rounded to five dps?\nAnswer: 0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/169, -0.3, 5, -41.9, -34?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 27 - 9. Let a be 4\/i*(-6)\/(-4). Suppose -221 = -a*b + 19. Calculate the greatest common divisor of 15 and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*y - q, 1 = -5*y + q - 23. Is y\/10 + (-974)\/(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4373219807?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - 43*u**2 + 53*u + 393. Let q be v(-44). Put -5\/3, 1\/14, q in ascending order.\nAnswer: q, -5\/3, 1\/14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*p**4 - 1839*p**2 + 19085*p + 4?\nAnswer: 300*p**2 - 3678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/15)\/(162\/(-135)).\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 806 + -796. Solve -o = 10*m + 30 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 2\/9, -4, -168.4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*d - 153*d = 2828. Let u = 1415 + d. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**5 - 36*j**4 + 72*j**3.\nAnswer: 4*j**3*(j - 6)*(j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.03062154 rounded to three dps?\nAnswer: -36.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -18, -67, -142, -237, -346, -463, -582, -697?\n\"Answer: i**3 - 19*i**2 + i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-12)*5376\/(-512)?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -9*k + 27. Let t be x(9). Let w be -4 - 9\/(t\/240). What is the highest common divisor of w and 396?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-63)\/(-42))\/1)\/(4\/2)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (117\/104*2)\/((-468)\/(-160))?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (69479 - 63*s - 69479 + 8*s**3 + (4 - 4 - s**2)*(2*s - s - 2*s))*(1 - 1 + 1).\nAnswer: 9*s**3 - 63*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -69, -84, -99?\n\"Answer: -15*t - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/28 of a week in hours?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*l = 2*b - 35*l - 1, 6*b + 2*l = 36 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h + 1. Let t(a) = -3*a + 1. Give -5*t(m) + 6*u(m).\nAnswer: 3*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**9*k*k*k**(5\/3)*k\/k**(-2\/7)*k**(-4\/7)*(k\/(k**(-1\/4)*k)*k\/(k\/(k\/(k\/(k*k**(-2\/7))))))**40 assuming k is positive.\nAnswer: k**(734\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 40?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -58 + 54 + 56 - 42\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 7:38 PM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -2062.744251 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28\/13, -0.9, -85.98 in descending order.\nAnswer: -0.9, -28\/13, -85.98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 100 and 4.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*s + s - 2 - 1 + 6 with respect to s.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-205)\/(-7) + (-2)\/7.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -613944, -1227879, -1841814, -2455749, -3069684, -3683619?\n\"Answer: -613935*z - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27730, -27694, -27634, -27544, -27418, -27250, -27034?\nAnswer: -26764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53 + 329. Calculate the highest common factor of 4 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6747485?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tfr when three letters picked without replacement from rtpardfddrfp?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a decade in months?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -2*m - 35 - 9, 4*b = 3*m + 59. Let r be (-64)\/28 + (-6)\/m + 82. Calculate the highest common divisor of 176 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7234735 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -25*r**3 + 2*r**2 - 19*r - 11. Is u(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-3\/5)\/((q\/(q\/q**(-17)))\/q) assuming q is positive.\nAnswer: q**(87\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -j, 3*j - 4807 = -5*z + 1080. What is the highest common factor of 47 and z?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - 10*r - 1. Calculate the lowest common multiple of k(-9) and (-5)\/(-2) - 2\/(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 161102 or 161363?\nAnswer: 161102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 7, p: 6}. What is prob of sequence pbpb?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.1 - 0.4. Let b = n - 0.7. Let w = -0.1038 + 4.1038. What is the smallest value in w, -3, b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence txst when four letters picked without replacement from tssxssssxttsttssst.\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3258, 4927, 6594, 8259, 9922, 11583, 13242?\nAnswer: 14899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 s, and 2 m when four letters picked without replacement from {s: 2, c: 1, u: 1, m: 2, g: 10}.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -4*i - 8. Let k be 2\/i*(-40)\/(-70). Which is the biggest value? (a) 2 (b) 1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 704\/616*(-4)\/(-12)*(-3)\/4\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -823574*s**2 + 411787*s**2 + s**3 + 411787*s**2 - 2 - 12376*s to u*s + n*s**2 + a*s**3 + d and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*l - 3. Suppose l*h - 190 = -5*f - 0*h, 0 = 5*f + 4*h - 180. Calculate the greatest common divisor of f and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.044818 to 4 dps.\nAnswer: 0.0448","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 185497031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 44162 = -g - 44178, 3*g = -13*n - 40 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 4*j - 794 = 18291, -5*t - 2*j = -31813. Let n = 17669 - t. Suppose -b + 3*b = 2*a - 22594, b = -2*a - n. Round b to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-8) + (-26)\/(-8). Let b = p + -2. Are -2\/27 and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 5*b - 145 = -z, -4*z + 3*b + 465 = 0. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f + 5. Let s be h(-6). Let z = -1 + 2. Let n be z + 3\/((-27)\/11). Which is smaller: n or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1313 + -224. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v + 219. Let i be x(-40). Suppose -4 = -q, -335 = 2*f + 5*q - 107. Let d = i - f. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 12:07 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 139722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1768 divided by 68\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6011*b = 6010*b + 33*r - 860, 3*r - 84 = 3*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60559356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 16 = 2*x, 2*p - 2*x = -0*x + 10. Let o(i) = 4*i - i - 3*i + i**2 + i**p. Suppose 0*j + 5*j = -3*t + 4, 4*t + 2*j + 4 = 0. Calculate o(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -76 - -204. Round j to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 - -61\/2. Let m = -9 - -13. Let b be (-1)\/m - (-9)\/108. What is the second smallest value in b, h, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -55*q + 300 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -0.5 (c) 126\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.95 - 0.05. Let k = -5 - j. Let u = 292 - 291.5. Which is the third biggest value? (a) u (b) k (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, x: 7, g: 1, d: 5}. Give prob of sequence xxdq.\nAnswer: 3\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 4. Solve b*f - 5*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7453135 is divided by 1390?\nAnswer: 1345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + (0 - -3) + -1. Suppose -3*k - 7*k + 20 = v. Calculate the common denominator of (217\/(-14))\/(k\/(4\/3)) and -4\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*102*(1460\/240)\/(-73)*-2\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of g**3*t - 78046480*g**3 + g**2*t + 59238*g*t + 2*g + 186*t wrt t.\nAnswer: g**3 + g**2 + 59238*g + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 2*t**2 - 3*t + 9. Let f be n(3). Calculate the remainder when 2 + -2 + (f - -38) is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -116960 - 2300?\nAnswer: -119260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (195\/42)\/(-65)*(-1316)\/7050.\nAnswer: 1\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-13 + (-1610)\/(-126))\/((-5)\/9)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*s - 3*b = 20*s + 5470, -5*b = s - 5454. What is the thousands digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1746)\/216 - 24\/(-3).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 3*j + 4 = 0, -4*j - 22 = -6 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-13)\/(65\/(-6))*(-232)\/(-957)*11. Factor -4*w + 2\/5*w**4 + 8\/5*w**3 - 6\/5*w**2 + l.\nAnswer: 2*(w - 1)**2*(w + 2)*(w + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/60 and -71\/354?\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/5 - 246*c\/5 + 49.\nAnswer: (c - 245)*(c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o + 3. Let a be h(2). Differentiate -14*s**2 + a*s**2 + 2 + 5 with respect to s.\nAnswer: -10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iyi when three letters picked without replacement from {y: 6, a: 1, i: 7, f: 5}.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 5:05 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g*g**7*g*g**(-2\/7))\/(g\/g**(1\/3))**19 assuming g is positive.\nAnswer: g**(-41\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 160 (base 7) to base 11\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -388*7\/(-112) - 1\/4. Let z be (1\/6)\/(-4*(-2)\/w). Factor 1\/6*h**5 + 1\/3*h**3 - z*h - 1\/2*h**4 + 1\/3*h**2 + 1\/6.\nAnswer: (h - 1)**4*(h + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1042 + -302?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 9:35 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4\/5, -0.3, -5, -5914.445?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - r = -11 - 2, -5*v + 19 = -r. Solve -36*w**2 + 9*w**5 - 20*w**v + 14*w**2 + 20*w**2 + 13*w**3 = 0 for w.\nAnswer: 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 t when four letters picked without replacement from {q: 2, l: 5, t: 9}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 8*k. Suppose -5*o = -21 - 14. Let d(w) = -11*w + 17*w - o*w. Give d(i(m)).\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 12:11 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand p - p - 2*p + (-5*p + 2*p + p)*((0 - 2 + 3)*(-3 + 5 - 1) + (1 + 0 + 1)*(-18 + 11 + 5)).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 928708*q**6 + q**4*u**2 - 3*q**2*u**2 - 3*q**2 + 152*q*u**2 + 9*q*u - 26*u**2 wrt q?\nAnswer: 111444960*q**3 + 24*q*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - 1 - 0\/1. Let d = q + -1. Let l = 0.6 - 0.4. What is the nearest to 1 in d, 1\/8, l?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 28 = 47. Let i = 22 + -49. What is the units digit of ((-10)\/o)\/((-2)\/i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6687 is divided by 27 + (-28)\/56*(-2 - 20)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4\/22 + 155\/(-220)*-4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 34, 36, 38?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -448, -0.02, -4?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4804738 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**2 + 6*o + 2. Let k be l(-4). Let g be 4\/18 + k\/(-126). Let n = -2.5 + 3. Which is the third biggest value? (a) n (b) g (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/9)*s**(3\/7))\/(s**(-1\/8)*s)**(-15\/2) assuming s is positive.\nAnswer: s**(6823\/1008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eesrrrnsnrnnnrsesnws. What is prob of picking 1 n, 2 s, and 1 e?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43417, 164406, 366055, 648364?\nAnswer: 1011333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - y + 2*y = 2*j - 41, 12*y + 4*y + 20 = -5*j for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**4 - p**3 - p + 1. Let f(v) = 4*v**5 + 5*v**4 + 5*v**3 + 7*v - 8. Let a(y) = 5*c(y) + f(y). What is the second derivative of a(h) wrt h?\nAnswer: 80*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w + 2*w - 3*w + (2 + 3 - 3)*(-2*w - w + 2*w) - 2*w + 0*w + 0*w.\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 990683.4 + -1223155. Let i = -232471.5049911 - o. Let p = -0.095 + i. Round p to six dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202000220022200 (base 3) to base 14.\nAnswer: 15b1d1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*t + 0*t - 8*t)*(5 - 2 - 4)*(-2*t**3 - 3*t**3 - t**3) as q + l*t**4 + j*t**3 + d*t**2 + x*t and give l.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36290.27355 + -36290. Round h to 2 dps.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 742 by 2.\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 44*l**2 + 42*l. Let k(w) = -109*w**2 - 84*w. Let s(d) = 2*k(d) + 5*m(d). Let x(u) = 2*u**2. What is s(x(r))?\nAnswer: 8*r**4 + 84*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 4552\/11019 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 0*i - 4*q + 14 = 0, 3*q - 70 = 5*i. Let h = i + 16. Let p = 24 - 12. Solve -h*z = z + p for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1667403609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -70, -124, -230, -406, -670, -1040?\nAnswer: -1534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 11*g - 2072. List the prime factors of g.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 0*(-4)\/(-16).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j**3 - 42*j**2 - 2*j - 85. What is the tens digit of c(-17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttttctttttcttcctc. What is prob of sequence tt?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52710, 210866, 474496, 843606, 1318202, 1898290, 2583876, 3374966?\nAnswer: 4271566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -685*j + 4752. Give x(7).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 240517 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.044 + -3.684. Let d = l - -3.638208. What is d rounded to four dps?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from emmmmeeeeeemeeeeeee?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/18 and -27\/56?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 2*b + 10, -10*b + 13*b = 3*d + 15. Solve d = -c - 6 + 2 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 5:30 AM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by -86235.\nAnswer: 6\/28745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 3, 2, 2\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-42)*(-154)\/132.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3*o - 10. Let p(n) = n - 3. Let k(z) = -11*p(z) + 4*x(z). Let t be k(-4). Let j = -14 + 15. Which is the closest to 2\/11? (a) -1\/4 (b) j (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 83?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -1\/2*x**2 + 0*x - 8 + 0*x**3 - 2\/15*x**5 + 1\/30*x**6 + 1\/6*x**4. Let i(h) be the second derivative of w(h). Factor i(l).\nAnswer: 4*l*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -171202 divided by -4\nAnswer: 85601\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 10:09 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 296 + -342. Is v less than -46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011110110111 + 1?\nAnswer: -100011110110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -75 - -79. Let r(a) = a**3 + 7*a**2 - 6*a + 8. Let w be r(-8). Let v = -5 - w. What is the closest to -0.1 in 2\/13, v, o?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -6915 (c) 1 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -7 (b) -0.4 (c) 11666 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6418 is divided by 2118.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -26933228 divided by -8323?\nAnswer: 3236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 144219 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16461 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 536 - -291. Is d a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -18*s**4 - 76*s**3 - 50*s**2 + 62*s - 12. Let n(k) = k**3. Let t(u) = 2*b(u) - 4*n(u). Let t(l) = 0. Calculate l.\nAnswer: -3, -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 4*v - 12 - 14, -v + 11 = i. Suppose 7*g - v*g + 1019 = 0. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y = -3*y - 1464. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7373 + 25194. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2833 - 267 + 130*m**3 + 75*m**3 + 2*m**2 + 996 + 1447 wrt m.\nAnswer: 615*m**2 + 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 6. Suppose x*b - 407 = -w + 36, 5*b - 2*w - 544 = 0. Let l = 72 - 62. What is the highest common divisor of l and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25469 + -25473. Let t = 0 + 2. Which is the third smallest value? (a) v (b) t (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011 + -111001000001?\nAnswer: -111001001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 7*i**2 + 18*i + 22. Let f be k(-4). Sort -2\/3, 6, -0.6, f in decreasing order.\nAnswer: 6, -0.6, -2\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*x + 229821 = 61261. Is 86 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-7)*y*(y\/y**3*y)\/y*y**(-3\/2)*y**(2\/9)*y assuming y is positive.\nAnswer: y**(-149\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000028937 rounded to six dps?\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2050*v = -2568*v + 19166 for v.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7866*x**2 + 3*x - 1362?\nAnswer: 15732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n**3\/7 + 316*n**2\/7 + 106*n\/7 = 0.\nAnswer: -1\/3, 0, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2951*y**6 + 3102*y**2 wrt y?\nAnswer: -354120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25894*m + 1251 - 1251 - 12820*m.\nAnswer: -38714*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 2065 - 2091 = 2*y, -y - 14 = 3*f for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 158, -993, -2700, -4963, -7782?\n\"Answer: -278*h**2 - 317*h + 753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67605?\nAnswer: 3, 5, 4507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2588475 and -0.37.\nAnswer: 957735.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 76120 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -h**4\/12 - h**3\/6 + 7*h + 4. Let z(q) be the first derivative of i(q). Let t(p) = 2*p + 3. Let n be t(-2). Determine z(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a micrometer in nanometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.27 - -0.27. Let k be (-1382)\/2856 + (-2)\/7. Let n = k - -1\/51. Which is the closest to 1\/2? (a) q (b) n (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2\/7, 0.24819, 1\/5, -1\/223 in ascending order.\nAnswer: -5, -2\/7, -1\/223, 1\/5, 0.24819","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1935*r + 5799*r - 1922*r - 1941*r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = q - 10, -a + 4*a - 4*q + 10 = 0. Find the third derivative of -17*h**3 + 4*h**3 - 27*h**a + 39*h**2 wrt h.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 94.\nAnswer: 1692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 402155 divided by 17485.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-3) - (-88)\/24*1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -16829*b + 28. Let g(k) = 74207476*k - 123464. Determine 61732*f(u) + 14*g(u).\nAnswer: 16836*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 468 and 54.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b*g**2 - 425166*b + 2367641*g**2 with respect to b.\nAnswer: -2*g**2 - 425166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -a7?\nAnswer: -a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4269 - 12685. Let c = v + 8415.8600022. Let y = c - -0.14. Round y to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of 707*h**4\/6 - 69*h**3\/2 + 3*h**2 + 11*h - 39. Find the second derivative of g(b) wrt b.\nAnswer: 2828","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-3))\/(828\/(-276))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 5*u**2 + 0*u**2 - 7*u + 6*u - 7. Calculate the remainder when 69 is divided by b(3).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -5, 12 in ascending order.\nAnswer: -5, -4, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 217477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*t - k, -2*t + 2*k = k - 16. Let l be (4\/5)\/((-2)\/(-30)). Suppose -y = -2*y + l. What is the remainder when y is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7880311.\nAnswer: 563, 13997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from akklklglaayaa. What is prob of sequence akg?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**2 - 2*u**2 + 0*u**2 + 357*u + 778*u.\nAnswer: u**2 + 1135*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 192623611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23890518?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -8. Let g = -0.02 - -0.22. Sort 0.3, s, g in increasing order.\nAnswer: g, 0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 10*f + 5. Suppose -2*z = v + 2*v + 35, 3*v + 25 = -z. Let u be c(z). Suppose -13 - u = -3*p. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + x + 1. Let l(b) = -90*b**2 + 135*b + 135. What is 135*i(f) - l(f)?\nAnswer: -45*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8581 and -3.\nAnswer: -25743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(2\/(220\/(-22))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.56 and 0.32.\nAnswer: -0.1792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 273*n**2\/5 + 271*n\/5 - 2\/5 = 0. Calculate n.\nAnswer: -1, 2\/273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1092, -23, 7 in increasing order.\nAnswer: -23, 7, 1092","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 160947?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14697204?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -224 (base 9) in base 12?\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 7, 2, -1\/4, 5\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/7196 and 16\/7172613.\nAnswer: 28690452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 305*y**2 - 853*y**2 + 284*y**2 + 288*y**2.\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -939 - -731. What is the common denominator of ((-5)\/91)\/(2 + k\/91) and 25\/18?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5637*t**5\/2 + 11275*t**4 + 16919*t**3\/2 - 11271*t**2 - 11278*t - 4 = 0 for t.\nAnswer: -2, -1, -2\/5637, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(19)*-2 + 3 + -2 + (sqrt(19) - sqrt(19)*2*-2)**2 + -5*sqrt(76).\nAnswer: -12*sqrt(19) + 481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 + -3. Calculate the remainder when 84 is divided by q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 1, -311, 4, -3 in increasing order.\nAnswer: -311, -5, -3, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 15.082. Let h = q + -0.052. Let r = -307\/1341 - -1\/149. Is r at least as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 u, and 1 i when three letters picked without replacement from {i: 6, u: 4, m: 1}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/58 + (-3776)\/(-5133). Determine b, given that -d*b**2 + 2\/3 + 0*b = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20232074 by 646.\nAnswer: 31319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -95 + 127. Calculate the remainder when 61 is divided by d.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -f**5\/30 + f**4\/12 + 3*f**2\/2 + 4. Let u(k) be the second derivative of i(k). What is the second derivative of u(x) wrt x?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12.55 + 0.45. Let n = 12.3 - m. Round n to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -11. Let c = 1.7 + 0.3. What is the closest to 0 in c, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-10)*600\/(-880)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40 + -34. Let p(o) = g*o - 8*o + 8*o + 7*o. Let q(d) = 3*d. Determine p(q(v)).\nAnswer: 39*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.00554 - -21\nAnswer: 20.99446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 54*a**4 - 1758*a**3 - 7876*a**2\/3 - 904*a - 272\/3 = 0?\nAnswer: -1, -2\/9, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 15 - t - 9 + 0. Calculate w(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -265, -612, -1101, -1732, -2505, -3420?\nAnswer: -4477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 18908 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-14*(-90)\/(-10899)) - -17 - (-8)\/(-10)?\nAnswer: -11\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**4 - 8358*r**3 - 8196408*r**2 - 3431650848*r - 524003035008 = 0. Calculate r.\nAnswer: -1214, -524","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10887.9959055 + -10888. Round w to four dps.\nAnswer: -0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00612904 to five dps.\nAnswer: -0.00613","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 3*q**2 - 75*q + 138 = 0?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 20*i - 24*i = -12, 2*d - 3*i + 9 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**2 + 130*n + 532. Let c be p(-4). Let z(b) = b**2 - 23*b - 3*b**2 - 39 + b**2. Let y be z(c). What is the greatest common divisor of y and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 6:30 PM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 35 - 15 + u - 3*u + 3*u. Let p be z(0). Solve -2*i - 5*h - p = 0, 0*i - 4*i + 4 = -h for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 5*o**2 - 9*o + 13. Let y(n) = -2*n**2 + 3*n - 4. Let u(c) = -2*q(c) - 7*y(c). What is the remainder when 34 is divided by u(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 52 - 53. Let w = -0.1 + 0.2. Sort w, g, -1\/5 in decreasing order.\nAnswer: w, -1\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-260)\/(-248))\/(-13)*20\/(-25)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 10*k**2 + 9*k + 5. Let j(l) = 3*l**2 + 3*l + 2. Let a be 7\/(4 + 9\/(-3)). Calculate a*j(d) - 2*r(d).\nAnswer: d**2 + 3*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m + m + 2*m - 3. Let g(p) = p**2 + 16*p + 7. Let r be g(-15). Let d = 11 + r. Calculate x(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18325?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**2 + 2*f**2 + 2*f**2 + (1 + 2*f**2 - 1)*(-5 + 4 + 3) + (f + f + f)*(3*f - 2*f + f) + 2*f**2 + 3*f**2 - 6*f**2.\nAnswer: 11*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 740 by 185.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a millisecond in microseconds?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28514861.\nAnswer: 28514861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 3 + 8*z**3 - 18*z**3 - 45*z**2 + 30.\nAnswer: -10*z**3 - 45*z**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4031, 4121, 4265, 4457, 4691, 4961?\n\"Answer: -g**3 + 33*g**2 - 2*g + 4001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 61951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227*b - 3032 = 1443 + 1427 for b.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/4 - 1\/12. Put -0.43, f, 0.2 in descending order.\nAnswer: 0.2, f, -0.43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -10) + -5 + 2. Suppose 0 = -2*r - 2*q + 4*q + b, -3*r + 4*q + 9 = 0. Solve -11 = 2*g - r for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 5, 1, 19, -9, -5828.\nAnswer: -5828, -9, -4, 1, 3, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 3*v = v. Suppose -14*w + 17*w = v. Suppose w = -2*d + 6*d - 2*y - 16, 2*d + y - 16 = 0. What is the remainder when 11 is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 22 = -4. Let q be 9\/6 + d\/4. Let 3*h - 2 - 5*h**4 + 11*h**4 + 3*h**5 + 8 - 12*h**2 - 6*h**q = 0. What is h?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*((-35)\/((-1715)\/(-28)))\/((-18)\/(-7))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 5:56 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(135)*-1)\/sqrt(5) + sqrt(27) - sqrt(108)\/sqrt(4)*2))\/(6*3*sqrt(900)*-1).\nAnswer: sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w**3 + 2. Let k be q(-1). Solve 0 = 6*d - d + k for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 10) + -5 - (3 - (22 - -4)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - n**2 + n - 1. Let v be w(0). Let b = v - -3. Suppose -4*f = -o - 30, -3*f + 4*f - o - 6 = 0. Solve b*p + 2 = -f for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**5\/9 - 4*x**3\/9 + 2*x\/9.\nAnswer: 2*x*(x - 1)**2*(x + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 - -2b?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 3 + 0 = 0. Suppose -5*x + 73 = 6*t - 8*t, -2*x = -4*t - 26. Let b = x - p. Is 8 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*h + 5*h**3 + 17*h**2 + 13*h**2 - 3*h**3 + 23*h**2 - 54*h**2 + 6 in the form q*h**3 + z*h**2 + c*h + s and give c.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) 9 (b) 0.031 (c) 1276\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {r: 3, f: 12}?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 4*z + 2. Let o(x) = -2*x**2 - 8*x - 5. Let t(n) = 13*d(n) + 6*o(n). Suppose 10 = 8*v - 3*v. What is the remainder when v is divided by t(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 1 + 19 = 2*m, -5*b = 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 311808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(3\/11))**(-42) assuming m is positive.\nAnswer: m**(-336\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 7. Suppose -2*n = -4*m - 28, d - 9 = 3*m. Is (-244)\/(-10)*20\/n a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 5*z**3 - 18*z**2. Let g = -347 + 351. Let u(p) = -3*p**3 + 9*p**2. Calculate g*h(v) + 7*u(v).\nAnswer: -v**3 - 9*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 20*z**4 - 34144*z**3 - 102552*z**2 - 102592*z - 34204 = 0?\nAnswer: -1, 8551\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -17. Suppose 10*k = 3*k + a. Suppose -5*i + 0*i + 2*s = -159, 0 = k*i - 3*s - 68. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 3*h = 47, 124*h - 22 = -o + 122*h for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.4? (a) -371\/2 (b) -4\/7 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 4*f**5\/5 + 88*f**4\/5 + 276*f**3\/5 - 2288*f**2\/5 + 2704*f\/5 = 0.\nAnswer: -13, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/528*(-80600)\/3250 - (-1)\/(-20)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 = 2*t + 2*o, -5*t - 105 = -35981*o + 35976*o for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9934889 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72456540?\nAnswer: 2, 3, 5, 13, 92893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/74 - 163\/1110. Let f = -10 - -17. Let s = f - 7.3. Which is the third smallest value? (a) -0.1 (b) s (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(((sqrt(1872) + -2)*-2)**2 - ((sqrt(468) + -1*sqrt(468))**2 + (sqrt(143)\/(sqrt(22)\/sqrt(2)) - sqrt(13)))) + 5)*-3.\nAnswer: -67551 + 1728*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*r - 296 = -35*r + 2252. Suppose 4*m = 2*o - 90 - 128, -4*o + 476 = 2*m. What is the remainder when o is divided by r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z + z - 2*z)*((1 + 5 - 4)*(0 - 1 + 0) + 1 + 0 - 4).\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98 and 17558023.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3*q = -6013, 3014 = x + 11*q - 10*q. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 517799 - 517799 + 75*i + i**2 to p*i + u + q*i**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34772*i**3*p + 62*i**2*p - 2*i**2 + 60402468*i*p - 2*p wrt i.\nAnswer: 208632*i*p + 124*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -1 + (-11 - -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of i**4\/6 - 2*i**3 + 29*i - 53. Let u(y) be the first derivative of h(y). Find b such that u(b) = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 16) in base 14?\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 k when three letters picked without replacement from tttttjjsk?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3 = -w, 2*b = -7*w + 2*w + 12. What are the prime factors of (w - (3 - 1)) + 21?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -61573.\nAnswer: -3\/61573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 7514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 123*s - 123*s - 48*s**3 + (3*s**2 + s**2 - 3*s**2)*(-2*s + 0 + 0 + (3*s - 5*s - 6*s)*(-4 + 5 - 2)).\nAnswer: -42*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 1. Let k(z) = 8*z**2 - 4*z - 4. Let u be ((-340)\/(-34))\/((-5)\/(-2)). Let r(m) = u*g(m) - k(m). Solve r(a) = 0 for a.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -79017*g**3 + 2051*g**2 + 7*g wrt g.\nAnswer: -474102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 106 divided by 1?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3*r**3 - 122*r**2 - 304*r + 140. What is y(43)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/259*18*21\/54.\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-2) - ((-12)\/16 - 0)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + b = -34, 147*a + 11*b = 145*a - 281 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oa when two letters picked without replacement from {x: 1, a: 10, q: 2, o: 7}.\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from txtce.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -44.2937 rounded to the nearest integer?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 7*z - 6*z**2 + 2 - z**2 + 2*z**3 + 10 - 11*z. List the prime factors of d(5).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2895*t - 46157 = 52273 for t.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-46 - -43 - (-11 + 1)) + -7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78425?\nAnswer: 5, 3137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 52707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/4*-20*(-13)\/78.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of 2*w**7\/105 - 35*w**3\/6 - 25*w**2. Differentiate k(q) with respect to q.\nAnswer: 16*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 10:18 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 320 at least 337?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*u + 23 = m + 30*u, -u = 2*m - 46. Let i = -920\/9 + 102. Which is the second smallest value? (a) m (b) 0 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 29610 and 13160?\nAnswer: 118440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1400511 (base 6) to base 15.\nAnswer: 18167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a milligram in micrograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.4, -1\/72, -0.2?\nAnswer: -1\/72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (306\/(-270))\/(-17)*10\/(-4)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**4 + 3*a**3 - 3*a**3)*(-a + 0*a - a).\nAnswer: -4*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16 - -14)*(-3 + (-7877)\/2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 3*a**5 - 417*a**4 - 7248*a**3 - 29760*a**2 = 0.\nAnswer: -8, 0, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 138, -4 in ascending order.\nAnswer: -4, 4, 5, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 o when four letters picked without replacement from {q: 1, o: 3, l: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9701 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qtb when three letters picked without replacement from {b: 2, q: 1, t: 3, u: 10}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -55 + 0*p + 155 - 3*p + 16*p - p**2. What is the tens digit of f(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 4*z - 47. Determine w(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 4140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (76*w**2 - 42964*w + 42964*w)*(-2*w**2 + 0*w**2 + 0*w**2).\nAnswer: -152*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111011021210 + -222?\nAnswer: -111011022202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32\/531 or 0.191?\nAnswer: 32\/531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -9*d + 61. Calculate g(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**3 - 6*i**2 + 4*i + 3. Let n be a(3). Solve 17 - n = 2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -5*c**2 - 2451*c + 17384. What is k(7)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2 - 17180*f + 73788100.\nAnswer: (f - 8590)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 89008 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 4) to base 13\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - -12)*(-20)\/(-8). Solve -2*x - s - 2*s = -4, 5*s = 4*x - y for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 33*h - 41*h + 6*h. Let m(t) be the third derivative of -4*t**4\/3 - 5*t**2. Determine m(y(j)).\nAnswer: 64*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 295 = -5*u, 275 - 16 = 5*x - 4*u. Calculate the greatest common divisor of 5 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + d**2 - 15. Give q(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (0 + sqrt(2057) - ((-3 + sqrt(17) + -1)**2 + sqrt(17) + sqrt(17)))*-1)*2.\nAnswer: -34*sqrt(17) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -489 divided by -489?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -14 + 40. Let o = 17 + y. Suppose -3*l + o*s = -46, l + 4*s = 2*l - 18. Calculate the greatest common divisor of 14 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/7 (b) -0.1 (c) 0 (d) -2 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 AM and 11:11 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 16\/684*(-549)\/(-122)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78 and 80.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((225\/125)\/9)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5310 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**3 + 3*p**2 + 3*p - 9. Suppose -4*r + 42 = 10. Suppose 0 = 2*y + r. Let w be m(y). What is the greatest common divisor of 31 and w?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 397668 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 0.0094226?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 46985, 94178, 141507, 188972?\n\"Answer: 68*i**2 + 46989*i - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/3*8\/(64\/(-4476)). What is i rounded to the nearest 10?\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1136)\/6*11307\/30152.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 509532480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -4 - 15 - ((-24836)\/(-497) + 222\/7881)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -x**3\/3 - 2175. Let r(y) = 2631*y**2. Calculate r(u(d)).\nAnswer: 2631*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 g when two letters picked without replacement from fififig.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*d**2 + 32*d**2 - 75*d**2 + 112*d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*i**4 + 2*i**3 - 3780*i**2 - 10658*i - 10?\nAnswer: -36*i**2 + 12*i - 7560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 560 is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/54 and -149\/36.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = 96*q + 103*q - 197*q, -4*x = -2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 572 to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4349 at least 4364?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 102 and -0.5183?\nAnswer: -52.8666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 148.7 and -0.2?\nAnswer: -29.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 49 + 29. Suppose -3*w = 6, 3*i - u = 2*i + 2*w. Find the second derivative of i*t**2 - 8*t**5 - 22*t**2 - 4*t wrt t.\nAnswer: -160*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r + 2. Let s(t) = -7*t + 31*t - 7*t - 4 - 16*t. Let w be s(6). Determine b(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 at least 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c + 9. Let o be b(6). Suppose -5 = 4*s + o. Let m(x) = -x + 12. Let q be m(9). Sort s, 4, q in decreasing order.\nAnswer: 4, q, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - 3*p + 63. Let h be (-4)\/(16\/(-20))*5. Let n = h - 14. Calculate the remainder when p is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (28\/(-8)*-4)\/2. Suppose -s + 6 = r. List the prime factors of s\/((-4)\/(42 + 2)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (13 + -4) - 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (117 - 100 - 21) + (0 - -33)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jffrjffrrrj. What is prob of picking 2 r and 2 f?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10656 and 1216.\nAnswer: 404928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -3, -0.1, 20?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 285792 = 17*f - 85305 - 9975. List the prime factors of f.\nAnswer: 2, 3, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c*y**4 + 1425*c*y**2 + 3*c*y + 5*y**3 + y + 9196 wrt y.\nAnswer: 12*c*y**2 + 2850*c + 30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**7)\/i*i\/(i*i**6*i*i) assuming i is positive.\nAnswer: 1\/i","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5\/3)*a*a*a)**(-21\/4) assuming a is positive.\nAnswer: a**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 28942659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1023798 is divided by 341160?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5792488?\nAnswer: 2, 13, 55697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -40\/193 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -529661.1*1.\nAnswer: -529661.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -32 divided by 33825\nAnswer: -32\/33825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 264 and 165?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(98) - (sqrt(98) + -1))*4 + sqrt(98) - sqrt(98) - (5 + sqrt(98) + 2))**2 - (0 + ((0 + sqrt(128))*-2)**2))*1.\nAnswer: -405 + 42*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 2*t - 20 = 0. Suppose 0 + 4 = 4*m. Put m, 0, t in descending order.\nAnswer: t, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 6*r**2. Let q(p) = 12*p + 3768. Determine w(q(s)).\nAnswer: 864*s**2 + 542592*s + 85186944","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d - 4*g - 26, 50952*d - 50947*d + 5*g + 17 + 13 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**3 + 27*t**2 - 14*t - 2. Let w be l(13). Let v = w + 18. Sort 0, v, 24, -1.\nAnswer: -1, 0, v, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 19678, 157067, 529990, 1256215, 2453510, 4239643?\n\"Answer: 19628*g**3 - g**2 - 4*g + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*n + 95 - 95)*(0*n - 2*n + 0*n)*(-7*n - 2 + 21*n - 77*n).\nAnswer: 2772*n**3 + 88*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppszxzzsss. What is prob of picking 4 s?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2. Let l(t) = -23*t. Let h(g) = -g. Let w = -47 + 48. Let a(b) = w*l(b) - 4*h(b). Determine u(a(i)).\nAnswer: -361*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/10 of a litre?\nAnswer: 1300","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 429808.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 122131131021 (base 4) in base 7?\nAnswer: 112646502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*q = 18*q - 18*q - 325 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 42. Suppose 3*c - z = -c. What is the units digit of (c - 3 - 2) + 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 5 + -2*sqrt(117) + sqrt(117) + (1*sqrt(117) - sqrt(117)) + 4 + -5*(sqrt(117) + (sqrt(117) - (sqrt(117) + 0))) + 3 + -1)*-5)**2.\nAnswer: -5400*sqrt(13) + 106200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 4 = 3*s - 7, 3*s = 15. Let r(d) = 4*d**2. Calculate r(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33)\/45 + (-66)\/(-110).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1294883348 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1542294 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 138 + -267.9. What is t rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-144)*-4)\/(12\/16).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 26*q - 583. What is p(23)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*q + 157097 = -147487. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54844 is divided by 277.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55 + (-20 + 15 - (-3 - (-8 - -2) - 7)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(1331) + 1)**2*-5 + -4)*2.\nAnswer: -26648 - 440*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1662304, 6649208, 14960708, 26596798, 41557472, 59842724, 81452548, 106386938?\nAnswer: 134645888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 5*k**2 - k - 1. Calculate t(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -8. Suppose -r*f + 8972 = 527. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -9*m + 15*m - 3*o, 23 = -3*m - 2*o + 3 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 1115*b**2 - 8*b + 36. Let g(u) = 2*u**2 + u - 6. Calculate 6*g(a) + w(a).\nAnswer: 1127*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = i. Let u be 0 - i\/(-3 - 0). What is the units digit of (u + -1)*1 - -18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 11:17 AM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -484 + 539. Suppose -45 = -s*k + 50*k. Calculate the greatest common divisor of 48 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18278?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 283 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (43\/(-5) - -8)\/(1\/(-5)). Suppose -i*g + 12*g = 648. What is the least common multiple of 8 and g?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-1 + sqrt(405))**2*5 - 3*4*(sqrt(30)\/sqrt(6) + sqrt(5))**2)*-3*6.\nAnswer: -4860*sqrt(5) + 96660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -333 + 138 - 8*w - 6*w. What is the remainder when v(-30) is divided by 47?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(2\/5))**(-2\/29))**42 assuming n is positive.\nAnswer: n**(-588\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 57*u**5 - 89 + 88 - 59*u**5 - 17*u + (-1 + 1 - 2*u**2)*(-3*u**3 + 0*u**3 - u**3).\nAnswer: 6*u**5 - 17*u - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2519 is divided by (-13797)\/(-231) - (-2 + 38\/22).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 764067215 and 8180?\nAnswer: 2045","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(175) - (sqrt(847)*2 - sqrt(847)))**2 + (-2 + sqrt(7) + -2 + sqrt(7) + 5)**2.\nAnswer: 16*sqrt(7) + 282","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33622607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 10, 0, 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 11:09 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -352658500 by 2.\nAnswer: -176329250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2183148 by -222.\nAnswer: -9834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6 (b) -2 (c) 1\/2 (d) -2\/61 (e) 1.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 15) to base 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -92 + 92.039. Let r = 2.919 - d. Let g = 0.02 + r. What is g rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -0.1. Let m = 2.9 - z. Which is the nearest to 0.1? (a) 2\/7 (b) 0.5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of 3*z**4\/28 - z**3\/7 - 3*z**2\/14 + 3*z\/7 - 3. Find c, given that b(c) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1*(-3 + (-1*sqrt(684)*-2 + sqrt(684))*2))**2*5.\nAnswer: -360*sqrt(19) + 123125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 2\/7, 684.8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 12:05 PM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15090435 - 60050271\/4. Factor -g - 3\/4*p**3 - 423\/4*p**2 - 19881\/4*p.\nAnswer: -3*(p + 47)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9.061 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20736*t - 20740*t + 101*t**3 + 41476*t - 98*t**3.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 10*r - 24. Give i(20).\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2331)\/(-12950))\/((-36)\/60)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*i**4*r + 335*i**3*r**2 + 4*i**2*r**2 + 2*i*r**2 - 1149*r**2 + 2*r wrt i.\nAnswer: 288*i*r + 2010*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167718 is divided by 2939?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 4*n - 10 = 0, 117*a + 3*n - 10 = 116*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 6*m**2 + 3. Let v be j(-6). Let s(a) = -75*a - 2 + 0 + a**2 + 75*a. Determine s(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i - 50*p + 13 = 2*i - 157, -2*p = -6 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 14114040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (2 + -5)) + -16 - (9173 + -9242)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -87 + 89. Suppose -u*j = -j + 3*h - 1, -2*j - 5*h + 5 = 0. Is 273 + ((-6)\/j)\/(3\/15) a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14296 - -25009. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 2:38 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -8. Which is smaller: g or 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 2:47 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1890 a factor of 2770431930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 71815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*s + 110*s + 8 = 0. Let i(b) = 7*b**3 - 6*b**2 - 6*b + 13. Is i(s) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from aavvaaavvv.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -1. Let a(j) = 2*j + t + 1 + 4 - 3*j. Let p be a(6). Sort 0.5, p, -2\/3 in decreasing order.\nAnswer: 0.5, p, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**3 + 2*t**3 - 5*t**3 + (-5*t**3 + 3*t**3 + 0*t**3)*(-5 - 1 + 1) - 4*t**3 + 3*t**3 - 2*t**3.\nAnswer: 6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/((-28)\/8 + 3). Solve -v = 2*a + 2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.13, 0.2, -2, 1, -1\/37 in descending order.\nAnswer: 1, 0.2, -1\/37, -2, -2.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -12*w - 3. Let i(o) = -13*o - 3. Let b(d) = 4*f(d) - 3*i(d). Let u(c) = 5*c + 8*c - 8*c - 9*c. Determine b(u(j)).\nAnswer: 36*j - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24055 - 1?\nAnswer: -24056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-15)\/(-6))*(1 - -2) - (6385 + -6393).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, s: 2, v: 1, p: 1, n: 2}. Give prob of sequence rpn.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d**2 + d + 1. Let l be u(-1). Solve l*z = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*i + 58*i - 95 + 415 = 0. Let q(n) = 2*n**2 + 4*n - 31. Give q(i).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19354 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 0.20059?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2 + 8 = 3*q, -9 = -4*q + 3*d. Suppose -5*r + 107 = -q*o + o, 0 = -3*r + 3*o + 57. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**3 + r**3 + r**3 + (0*r**2 + 3*r**2 - 4*r**2)*(-r + 6*r - 3*r))*(-37*r + 36*r + 87*r).\nAnswer: -86*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -1. What is the second derivative of -6*v**i - 4*v + 2*v**3 + 2*v**3 - v wrt v?\nAnswer: -12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 155.\nAnswer: 775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.03 (b) -2 (c) 0.8 (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 307 * -0.0172\nAnswer: -5.2804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 232 = -392. Suppose -342 = y*p - 210*p. Is 31 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*y**4 - 75*y**3 + 20*y**2 = 0.\nAnswer: -4, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/18 and 35\/66.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13059653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 0, 5, -3, -12, -21 in descending order.\nAnswer: 28, 5, 0, -3, -12, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41947, 41896, 41837, 41770, 41695, 41612, 41521?\nAnswer: 41422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -3*t - 2*h + 2, -2*t + h + 8 = 0. Suppose -5 + t = o. Let l be 28\/(-273)*o\/2. What is the second smallest value in l, 1\/5, 1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100301 (base 4) in base 13?\nAnswer: 2478","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001047 rounded to 7 dps?\nAnswer: -0.0000105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 282 a factor of 327562458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + 2*j = 1359. List the prime factors of (3 - 5)*(0 - (0 + j)).\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 20 = -16 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 44 + -46 + (-26)\/(-12). Let t(p) be the third derivative of -10*p**2 + 0*p + 0 + 0*p**3 + 1\/15*p**5 + n*p**4. Find the second derivative of t(q) wrt q.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 131*p**2 - 45*p - 162. Let k be s(-9). What is the highest common divisor of k and 134?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**2 + 3*k**4 + 14*k**4 + 2*k**2 + 2*k + k**3 - 7*k + 4*k to the form p*k**2 + q*k**4 + z*k**3 + l*k + t and give q.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -51*u + 1427. Let i be w(28). Let o(q) = -19*q**2 - 3*q - 2. What is o(i)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -13*m + 5. Let j(w) = -55*w + 20. Calculate -2*j(t) + 9*p(t).\nAnswer: -7*t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-138)\/(-23)*2 - 128\/10.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6807077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44 + 26. Let b be (-4 - s\/3) + -20. Let x be 4\/b + 319\/99. Solve -5*r = n + 11, -x*r - 5 = -n + 2*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/120 and 29\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + u + u + 1 = 0, -5*u - 4 = -4*g. Let v be (15\/(-180))\/(g\/(-2)). What is o in -1\/3 + v*o - 1\/6*o**3 + 1\/3*o**2 = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 227 + -157. Let r = -62.692 + -0.508. Let m = r + i. What is m rounded to zero dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, t: 6, o: 1, e: 3, h: 2}. What is prob of picking 1 c and 1 t?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - 15*u + 9. Let m = -2 + -13. Let g be c(m). Sort -2, 2, g in increasing order.\nAnswer: -2, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8219164*o**2 - 2*o + 1585783 wrt o?\nAnswer: 16438328*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14960*y**5 - 3*y**2 + 1224 wrt y?\nAnswer: 897600*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35.072203536 - -29.92211998. Let s = w + -0.049915894. Let p = s - -5.2. What is p rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 837224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.2 in 2, -4078, -2\/25, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + -1 + -1 + 1)*-1. Suppose -17*l + 16*l + 72 = o. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6785?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 33*q + 1 - 7 + 4 + 0 - 3.\nAnswer: -33*q - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (17*(-48)\/408)\/(1\/2*6)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -c - 65 + 67, -4*q = -5*c + 10 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1672.\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (4 - (1 + 5 - 1))) + 0\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*j + 12*j + 5261. Find the first derivative of 69*s**2 - 3*s**2 + j - 5364 wrt s.\nAnswer: 132*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1897, 1882, 1843, 1768, 1645, 1462?\nAnswer: 1207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 11 = s, -26 = 15*s - 10*s - 2*p. Which is the closest to 4? (a) s (b) -0.2 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/60 - 62\/168)*207\/(-230)\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9231*h**3*s**2 + 24*h**3*s - h**3 + 2*h**2*s + 2*h*s wrt s.\nAnswer: 18462*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, -8, -3, 0, 1 in descending order.\nAnswer: 35, 1, 0, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - y - 544 = 3*l, -3*l = 9. Suppose 0 = -4*m + 5 + y. Let a = 6 + -2. What is the highest common divisor of m and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.9254 + 0.0746. Let j = 4.06 + -0.06. Let d = 394\/927 - -2\/103. Sort l, j, d in decreasing order.\nAnswer: j, l, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 11*n**2 + 1. Let f be j(1). Let q(i) = i**2 + 3*i - 2. Let r be q(-4). Solve 4*l + r*m = -16, -f = 2*l + l - 2*m for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(1*(-34)\/4). Let v(d) = -d**2 - 5*d - 4. Let z be v(-4). Suppose z = -2*x - t + 12, 0*x - 3*t = 2*x - 20. What is the biggest value in m, x, -0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(5 - -5))\/((-11)\/2)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -1556?\nAnswer: 1558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -517*v - 12571. What is s(-24)?\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*x**2 + 2553*x**3 - 1264*x**3 - 1273*x**3 + 4*x**2.\nAnswer: 16*x**3 - 6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -11*f**3 - 7*f**2 - 4. What are the prime factors of y(-5)?\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 84 and 518322?\nAnswer: 1036644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.096, -0.0573, -3\/5.\nAnswer: -3\/5, -0.0573, 0.096","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2300001*m - 19. Let f be 4\/(-5)*165\/6 + 3. Let z be w(f). Round z to the nearest one million.\nAnswer: 44000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 6*g + 6. Let d be z(3). Let i = 1.8 + 0.2. What is the second biggest value in i, 4, d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 445 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63*7\/(294\/216)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-6)*21\/14. Suppose 2 - 26 = -h*r. Suppose r + 0 = 6*p. Solve -n + p = 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 156059*o*u**5 + o - 25634*u**2 wrt u?\nAnswer: 9363540*o*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 247438719 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -80622 - -134718. Suppose 2*s + t = -p - 4*p, 21646 = -2*p + 3*s. Let b = p + 237957\/22. Find the common denominator of b and -101\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20\/8049 equal to 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*j - 2*j + u, 5*j = u + 125. What is the greatest common divisor of 10 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 3 - (-4 + 3) - 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kd when two letters picked without replacement from {n: 4, d: 4, k: 3}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of 7*r**2\/2 + 795. Suppose -5*b = 4*c - 2, b + 2*c + 0*c + 2 = 0. Let v(y) = y**b + y**2 - y**2. What is x(v(u))?\nAnswer: 7*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-42)\/n**(2\/33))\/(n*n**(1\/5))**42 assuming n is positive.\nAnswer: n**(-15256\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 3) in base 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2742 + 2*s**2 - 4*s - 2*s**3 - 5489 + 2748 + 24*s**4 as k*s**3 + a*s**4 + b*s**2 + w*s + r and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 82 - 207*a - 82 in the form o + r*a and give r.\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -58 + 23. Let n = -30 - k. Solve 3*z + n = -2*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 - (-5112)\/(-14)*2\/(-4). Let m = -1248\/7 + u. Factor -m*a**4 + 2\/7*a**5 + 0*a**2 + 0*a + 0*a**3 + 0.\nAnswer: 2*a**4*(a - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 335786432 to the nearest integer?\nAnswer: 695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -7\/10691281?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-37 + -29)\/((-6)\/56). What is the first derivative of 57*j**4 - 43 + n*j**2 - 616*j**2 wrt j?\nAnswer: 228*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7411, 7696, 7981, 8266?\nAnswer: 8551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (76 - 10*y**4 - 76)*(2*y - 2*y + 3*y).\nAnswer: -30*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (43*r + 197*r + 84*r + 187*r - 11*r)*(0*r**2 - 10*r**2 + 0*r**2) as l*r**2 + p + x*r + t*r**3 and give t.\nAnswer: -5000","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2537 + -5?\nAnswer: 2532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + -1 + 2 + (186 - -3). Let s be 13 + (3 - (-4)\/4). What is the highest common factor of d and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 508942974?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 99123814 and 2649?\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (190\/57)\/((-4)\/(-6)). Let x be 4\/(-12) + 24\/(-9). Let c(s) = -4*s**2 + 2*s - 5. Let g(d) = 5*d**2 - d + 6. Let t(p) = x*g(p) - 4*c(p). What is t(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35761796*p**3 - 17500925*p.\nAnswer: -214570776*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 382909 - 138018. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(175) + sqrt(175) + -1) - 2*(sqrt(7) + 2)) + (5*sqrt(448))**2 + -2.\nAnswer: -11*sqrt(7) + 11195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.0610987 to three decimal places.\nAnswer: 9.061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3228, 3226, 3224, 3222?\nAnswer: 3220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2*y + 27. Let x(g) = 321 + 316 + g + 321 + 313 - 1273. Calculate x(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 106140474?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, j: 1, a: 2}. Give prob of sequence njaj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 182911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268\/15*h**2 - 2\/15*h**4 + 0 + 46\/15*h**3 + 112\/5*h = 0.\nAnswer: -3, -2, 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7450 + -7447. Solve -21 = -4*u - 5*i + 4*i, -u + t = -2*i for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 - -28. What is the tens digit of (-352)\/(-10) - m*(-7)\/35?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from dpdppdfd.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 7\/(-9))*(-6)\/(-8)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-43 - -35) + (14 - 8 - (33 - 5))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, n: 2, m: 7, l: 4, z: 2}. What is prob of picking 1 m and 2 n?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 2*p**3\/3 - p**2 - 28*p - 49. Let j be y(6). Let l = -286 - -446. What is the highest common factor of j and l?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 23*q - 643. Give f(39).\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**2 + 1715*d + 23140.\nAnswer: -5*(d - 356)*(d + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -385 + 388. Let q = 1 + 0. Which is the third biggest value? (a) q (b) w (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 217 + -210. Solve 5*r + l = -2*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 u when three letters picked without replacement from {u: 2, p: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*j + 169 - 41 = 0. Find the third derivative of -6*s**j + 46*s**3 + 8*s**3 + 24*s**3 + 2 - 21*s - 2 wrt s.\nAnswer: 468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 - 4. Suppose 0 = 4*w - 2*m - 340, -3*w + 17*m + 260 = 18*m. Calculate the least common multiple of w and a.\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149*(-5 - (-6)\/(0 - -1)).\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*((-n + 4*n - n)*(12 - 4 + 18) + 2*n - 3*n - n).\nAnswer: 50*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13996005451\/60 + -233306874. Let d = 40115 + l. What is the common denominator of d and -1\/84?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 6. Suppose -5*f = -6 + 1, -3*r + f + 5 = 0. What is the lowest common multiple of r and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**2\/4 + 3070387*u\/4 - 2302788 = 0 for u.\nAnswer: 3, 3070384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -14*g. Let j(k) = -3*k**2. Determine j(u(v)).\nAnswer: -588*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -385 + 549. What are the prime factors of z?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23387 and 1638?\nAnswer: 420966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7491611725\/2442 - 3067818. What is the common denominator of b and -71\/132?\nAnswer: 4884","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k. Let b(t) = -604*t**2. What is r(b(d))?\nAnswer: -1208*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 6*y - y + 49, 4*d + 28 = 4*y. Let u(f) = -6*f - 66. Let v be u(d). Let k(l) = 3*l**2 - 6*l + 10. List the prime factors of k(v).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f - 1. What is h(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 52695*f + 3451. Is x(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 92952 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 - 18. Suppose -j - 5 = -3*r. Suppose k - 34 = 5*b, -6*k + 2*k = -r*b - 72. Is 7 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ngyygynyyygz. What is prob of sequence ngng?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of w**7\/42 - 2*w**6\/15 + 3*w**5\/10 - w**4\/3 + w**3\/6 - 191*w. Factor a(t).\nAnswer: t*(t - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46591216 divided by -16\nAnswer: 2911951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -198, -199, -200, -201, -202?\nAnswer: -203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*y**2 - 425*y**2 + 342*y**2.\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -591, -5, 13, 0, 8, -4.\nAnswer: -591, -5, -4, 0, 8, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1787107, 7148426, 16083959, 28593706?\n\"Answer: 1787107*y**2 - 2*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 102 + -76. Suppose 0*w + 140 = 4*w + 4*o, -u = -w - 4*o. Calculate the remainder when w is divided by 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 98*c - 5. Let w = -27 + 30. Let t be o(w). Suppose 0 = -4*b + 35 + t. Is 18 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3819 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12143436300 rounded to the nearest 1000000?\nAnswer: 12143000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*j + 33. Let k = -17 + j. Sort -3, 1, k, 2.\nAnswer: -3, k, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen sevenths of a week in days?\nAnswer: 17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -5*l + 9*b + 26 - 120, -4 = -2*l - 2*b - 24 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**6*w)\/(w\/w**(3\/5)*w)*(w*w\/((w*w*w\/w**(-2\/7)*w*w)\/w))**(-20) assuming w is positive.\nAnswer: w**(1866\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 9 - (3 - (-19)\/(-2))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 829\/6 - -661\/6. Are 247 and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2857.99 and 4.\nAnswer: 11431.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand t - 2*t + 3*t - t + 3*t + 0*t + (1 - 2 + 3)*(0 + 0 + 2*t) + 2 - 2*t - 2 - 20 + 25*t + 20 - 3 + 3 - 2*t + 2*t - 5*t + t + (1 - 3 + 0)*(t - 4*t + 4*t).\nAnswer: 25*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 4*l**2 + 8*l. Let u be y(-4). Let a be (u - 38) + 11 + -1. Let v be (2\/1)\/(1\/4). Solve 9 = c + a*h, -3*h + v + 3 = 5*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 9:52 AM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -10 (b) 1\/19 (c) 1\/12 (d) 12 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3318 - 0.068.\nAnswer: 3317.932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6628 - -17?\nAnswer: -6611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -6*k. Suppose k = 3*n + 3 - 9. Suppose -7 = -n*h + 23. Is 6 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47 - -88. Suppose -5*t = -u - 234. Suppose -4*w = -301 - t. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-46)\/(-46))\/((-14)\/6)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1875406?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3578270 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/3 - 45175*h**2\/3 - 271131*h - 1220211.\nAnswer: (h - 45193)*(h + 9)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 288*d + 392. Let q(r) = r - 76. Give 5*q(z) + x(z).\nAnswer: 293*z + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2*u = 6*f - 410, -f = -3*u - 400. Is f a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -10 + (-1 - (-5 + 2 + -3))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d*w**5 - 4*d*w**2 - 8*d*w - 3*d - 340791*w**5 - 51*w**2 - 9*w + 5 wrt w?\nAnswer: 60*d*w**2 - 20447460*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -735 - 5*n**3 + 2*n**3 + 0*n**2 - 2*n**2 - 3*n**4 + 736 as x*n**4 + q + c*n + k*n**2 + w*n**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -103, 6.2, -0.3.\nAnswer: -103, -0.3, 6.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((1 + sqrt(7) - sqrt(7)) + -4 - sqrt(7) - sqrt(7))*-4 + 0)**2*4.\nAnswer: 448*sqrt(7) + 1988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(6\/11)\/d)\/d*d*((d**4\/d)\/d)\/d)\/(d**0*d)**(-4))\/(d*d**(1\/4)*d*d*d**4*(((d*d**(2\/3))\/d)\/d)**(-2\/3)) assuming d is positive.\nAnswer: d**(-1159\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 1677*t + 41902. Give k(-25).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 v when two letters picked without replacement from {v: 2, g: 1, o: 1, w: 2, h: 2, k: 1}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, c: 2, i: 1, p: 3, b: 6}. Give prob of picking 1 c and 1 v.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**8\/((g*g*g**(-4)*g*g)\/g*g) assuming g is positive.\nAnswer: g**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1244010 is divided by 539?\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 15*h - 14. Let i(w) = 14*w - 10. Give -4*i(v) + 3*p(v).\nAnswer: -11*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4166820*z + 4166999*z - 9 + 9.\nAnswer: 179*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-8 + (10 - 1)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116015461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33 by -172.\nAnswer: -33\/172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*p + 19*p**2 + 15*p + (-3*p - p + 2*p)*(2*p - 3*p + 3*p) + (-4*p + 0*p + 2*p)*(-p - 2*p + 4*p).\nAnswer: 13*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -1856176*x - 1856201. What is h(-1)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 14 = -10. Suppose -4*v = -13*v - 999. Let r be v\/(-4) + 3\/j. Calculate the highest common divisor of r and 224.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 153, -0.26, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2 - 7936*x - 1266300.\nAnswer: -4*(x + 175)*(x + 1809)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**2 + 3*j + 13. What is f(-3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 3*i**2 - 6*i + 11. Let l be f(4). Suppose -l*m + 147 = 3*p, 2*m + p = 7*m - 257. Does 5 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/4)\/((-39)\/(-156)*3\/((-57)\/2))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l - 117*l**2 + 0*l + 115*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/3*1*(-48)\/(-28)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2187 + 0*u**2 - 2*u**2 - 1849 + u + 762 as n*u**2 + s*u + z and give z.\nAnswer: 1100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 5:31 AM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 36*r**2 - 4*r. Let w(p) = 35*p**2 - 10456538 - 5*p + 10456538. Determine -4*w(b) + 5*z(b).\nAnswer: 40*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/7 - 51838*q\/7 - 466380\/7.\nAnswer: -2*(q + 9)*(q + 25910)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -84 - -92. Suppose 2*v - 6*v - j*v = 0. Which is the closest to v? (a) -19 (b) -2\/11 (c) 0.1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-744)\/168 + (-3)\/(-7). Let u(q) = 4*q**2 + 2*q - 8. Let h(t) = 11*t**2 + 6*t - 23. Let r(c) = -3*h(c) + 8*u(c). What is r(d)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34717 (base 15) to base 9.\nAnswer: -274034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - 6*v**2 + 2*v - 37. Let h(c) = c**3 + 9*c**2 + 11*c - 14. Let w be h(-7). Let z be f(w). Suppose 12*x = z*x - 112. Solve 3*k - x = 1 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -3*w**5\/25 - 9*w**4\/10 - 9*w**3\/5 + 6*w**2\/5 + 36*w\/5 + 1927. What is q in n(q) = 0?\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2290570239?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v + 7. Let y be w(3). Let d(q) = -318751*q**2 + 4*q. Let r be d(y). Round r to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.858081ug to nanograms.\nAnswer: 9858.081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1697.\nAnswer: 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 25408 < 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 5. Let l = 569 + -565. Suppose l*q - b*a = 90 - 15, 5*q = 2*a + 99. Calculate the remainder when q is divided by 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-3\/7)\/g**(10\/7))\/((g\/(g\/(g*g*g**(-9))))\/g*g**2))**(-6) assuming g is positive.\nAnswer: g**(-174\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.05 take away 3?\nAnswer: 78.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 times -106?\nAnswer: -2650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**4 - 132*m**3 + 2640*m**2 - 15196*m + 25230 = 0.\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 453 is divided by 76?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 0. Let f be 18\/(-8) - b\/(-4). Find the common denominator of (f\/(-16))\/((-1)\/66) and -83\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2736752196 divided by 6\nAnswer: 456125366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 15452 divided by -4?\nAnswer: -3863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + 45*p + 2555. Calculate h(78).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4*j - 5787 = 0, 5*f = -5*j - 14127 + 43162. What is the thousands digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4562 by -469.\nAnswer: -4562\/469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3592 divided by 3\nAnswer: 3592\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.31 + 0.31. What is the nearest to 0 in 2\/3, -1, m?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zxzxzxzxxzzxzzxz. What is prob of picking 2 z?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 2*y. Does 20 divide y + 46 - (6 + -9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -850, -821, -764, -673, -542?\n\"Answer: u**3 + 8*u**2 - 2*u - 857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/4*8\/10. Suppose -4*a - 2*o + 636 = t*o, 0 = -3*a + o + 481. Suppose 6*y + a = 11*y. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/28*63\/9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2440176?\nAnswer: 2, 3, 29, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 4*z**2 + 2504*z + 20288. What is t(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*m**2 + 33*m**2 + 71*m**2 + 70*m**2.\nAnswer: 305*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 883 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22955 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1*sqrt(720).\nAnswer: -4 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-70)\/45)\/(-7))\/2.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1059450 to the power of 1\/2, to the nearest integer?\nAnswer: 1029","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2018 + 478 = 13*z. Does 48 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1394, 2599, 3806, 5015?\n\"Answer: y**2 + 1202*y + 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3254983 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 1616*m - 768. Does 9 divide s(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2570.\nAnswer: 2, 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 0 - 5. Suppose 0*x - x + 79 = 5*k, 0 = -y*x + 4*k + 337. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 p when three letters picked without replacement from loaabpxxbxxp.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + x = 1. Let i = x + 12. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.54 * 1\nAnswer: -0.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 27463937 to the power of 1\/3, to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 612 - 611. Which is the fourth smallest value? (a) 3\/5 (b) -39 (c) i (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 3132?\nAnswer: -3130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11\/(110\/48)*(-2 + 242). Calculate the greatest common factor of n and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34398 and 2303?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 7*r + 1. Let n(g) = -340*g**2 + 4*g - 2. Calculate n(j(h)).\nAnswer: -16660*h**2 - 4732*h - 338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 191 - 175. Suppose c*r - 2992 = 6928. Does 31 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of s**5\/60 - 5*s**3\/6 + 3*s**2. Let t = -3 - 7. Let l(m) = 1. Determine t*l(b) - 2*j(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/18370 and -53\/35070.\nAnswer: 385770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**2 - 407*o - 4696. Determine y(-13).\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x + 2*n + 20, 2*x + 27*n = 28*n + 9 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29502*k**2 - 7 - 1 + 8 - 59018*k**2 + 29513*k**2.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -40\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*m**5 + 2*m**3 + 6*m**2 - 27*m wrt m.\nAnswer: 480*m**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -842802 - -0.0375\nAnswer: -842801.9625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4986 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 192407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -3. Suppose -l + 6 - 15 = -r*d, -2*l = 4*d + 2. Find the first derivative of 0*o**4 + d - o**4 + 0 wrt o.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 k when three letters picked without replacement from nmnmnummnkmnnknnknm.\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 1:44 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 469982?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - 5*s + 3*s)*(3*s - 2*s**3 + 3*s + 3*s).\nAnswer: 2*s**4 - 9*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220 - 171 = -152*k + 1281 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 11*p + 7 = b - 38 - 6, -37 = -b - 7*p for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 66*b**2 - 5240*b + 8024. What is m(-113)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 1 - 4) + 4 + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2 + x - 71. Determine u(12).\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n + 2*n - 2*n)*(6 - 7 - 6)*(86471 - 86471 + 350*n) to the form w + y*n + c*n**2 and give c.\nAnswer: 4900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**9\/(a*a\/(a\/(a**(-16)\/a*a)))*a\/(a\/(a\/(((a*a*a**14*a)\/a*a)\/a)*a))*a*a\/(a\/a**11) assuming a is positive.\nAnswer: a**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21549744.\nAnswer: 2, 3, 17, 8803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(2\/21))\/p*p**33 assuming p is positive.\nAnswer: p**(691\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*s - 13. Solve -4*l - s*p = 5, -p = -4*l - l + 1 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03107280174 rounded to three dps?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.4 and 0.01055504.\nAnswer: -0.035887136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -74403.3 take away 57.6?\nAnswer: -74460.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2037379.\nAnswer: 2037379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 3*g**4\/4 - 16548*g**3 - 463449*g**2\/4 - 463479*g\/2 - 132426 = 0?\nAnswer: -4, -2, -1, 22071","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -y**6\/120 + y**5\/6 - 7*y**3\/2 + 8*y**2. What is the tens digit of v(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -4*x. Let c(d) = 304*d. What is a(c(f))?\nAnswer: -1216*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-33)\/(10\/8*132\/(-110)). Suppose 0 = -18*h + x*h - 2616. What are the prime factors of h?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 4 = -5*a, 161*a - 4*l + 14 = 164*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 234 = -5*j, 5*j + a - 358 = -104. Suppose 4*w - j = 14. Is 8 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24816809 + 180.\nAnswer: -24816629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, -2\/3, -1.5, -3, 4.\nAnswer: -3, -1.5, -2\/3, 4\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.22137 - 0.02137. Let j = -3.99 + -0.01. What is the nearest to v in j, 2\/5, -2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 z, and 2 f when four letters picked without replacement from {z: 1, b: 1, d: 1, f: 2, n: 1, q: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*h - 7*h + 18*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 5:01 AM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1458 - 1427. What is the greatest common factor of y and 961?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 566, 1130, 1694, 2258, 2822?\n\"Answer: 564*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2247073?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 409365285?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/3)\/((-8)\/(72\/27))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 2*m - 10, -5*s - 10 = -4*s - 2*m. Suppose s = -5*r - 382 + 1407. List the prime factors of r.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 0.3, 10.834, 12, 0.4, 1 in decreasing order.\nAnswer: 12, 10.834, 1, 0.4, 0.3, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*q**3 + 149846 - 149844 + 5*q**3 - 15*q**3.\nAnswer: 2*q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5403 - 5388. Let a be (38\/(-4))\/((-2)\/4). Let v = a - k. Solve -2*d + v*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -9, -1\/32?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-34 - 1) + (21 - -2) - (-43 - 1)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 224 and 3556.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -4 (b) -1856 (c) -1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 418 is divided by 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3991 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**4 - 3*t**3 + t**2.\nAnswer: -t**2*(t + 1)*(4*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -55.1 + 55.10566. What is g rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 9 = 4*f - 12, -4*k - 3 = 3*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 5*v - 4315, 17*v - 3452 = 13*v + 2*i. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(588)*-1)\/(sqrt(400) - sqrt(400)*3).\nAnswer: 7*sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 201 = -3*a + 218, t = -3*a + 11 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 2*j**2 - j + 58. Give d(0).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*m + 154 = -224. Solve 0 = -z - 5*l + m, -2*z - 3*l - 8 = -4*l for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57294 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h + 72 + 34 - 106. Let g(v) be the second derivative of 3*v**4\/4 + 4*v**2 + 2*v. What is g(w(j))?\nAnswer: 36*j**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v + 7*v - 12*v - 3*v. Let w(a) = 7*a. Calculate q(w(u)).\nAnswer: -35*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of 0*p**5 + 3 + 0*p**4 - 1\/6*p**6 - 1\/3*p**3 + 0*p**2 + 0*p. Find the third derivative of b(o) wrt o.\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 861574488 a multiple of 344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 - u + (-6*u - 4*u + 11 - 12)*(3 - 4 - 1) to the form x + a*u and give a.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1180.1 + -1180. Let u = -54.68 - -55. Which is the nearest to u? (a) -0.5 (b) 0.4 (c) p (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4*u - 14719 = 0, 14743 = f + 107*u - 103*u. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21812 and 228?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -7343?\nAnswer: -3\/7343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/5)*m*m*m**(-2\/3)\/m*(m*(m*(m*m\/m**(2\/7))\/m)\/m*m)**(4\/17))\/((m**(-2\/5))**(-5)\/((m*m**(1\/8)*m*m)\/((m*m*m*m**(2\/13))\/m))) assuming m is positive.\nAnswer: m**(26573\/185640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 16*v + 4. Let x be (-2)\/((-18)\/(-93)) + (-380)\/570. Determine q(x).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 651*k*r**3*t + 743*k*t**3 - 33716*r**3*t**2 - 9*r**2*t**2 - t**3 wrt k?\nAnswer: 651*r**3*t + 743*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*p - p + 0*p)*(-14*p - 16*p - 16*p) as h*p + c + i*p**2 and give i.\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t + 13. Let k = 20 + -26. Calculate h(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + w - 3. Let c be d(-2). Suppose 8*t + 12 = 5*t, -5*t - 389 = -c*u. Is 41 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15280*p - 11362*p = 481914 for p.\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = l - 6, -2*h - 9 = 5*l. Suppose h = -3*a + 27. What is the remainder when 29 is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -672, -651, -602, -513, -372, -167, 114, 483?\n\"Answer: 2*w**3 + 2*w**2 + w - 677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uvb when three letters picked without replacement from hbbbhuhvbbbhbbbhbhb.\nAnswer: 11\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.23 - -4.139279?\nAnswer: 3.909279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1047.9 - -1048. What is the nearest to -0.006 in 1, 2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 70 + -76. Let x be (-32)\/a*(-144)\/(-64). Suppose -2*h + 192 = -0*h. What is the highest common factor of x and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 306 = 2*c. Let n = c + -83. Calculate the remainder when n is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) + -4*sqrt(133)*6 - sqrt(133))\/sqrt(7)*4.\nAnswer: -96*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h**3 - 8*h**2 + 2*h - 6. Let g(c) = 3 + 5*c**2 - 4 - 9*c**2 + 3*c**2. Determine 6*g(l) - i(l).\nAnswer: 3*l**3 + 2*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 4*i**2 - 3*i - 4. Let r be n(5). Let x(k) = k**3 - 6*k**2 - k + 6. Let u be x(r). Suppose u*l - 4*l - 16 = 0, 3*l = -h - 1. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.1, 5\/4, 0.037, -4, 2?\nAnswer: 0.037","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 8:27 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - i + 2. Let a(q) = 3*q**2 - 3*q + 5. What is -2*a(y) + 5*l(y)?\nAnswer: -y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 124 + -870\/7. Let z = 6 + -5. Sort u, z, 0.2 in ascending order.\nAnswer: u, 0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/17)*(l\/(l\/l**(-2\/7)*l))\/l)**(2\/9) assuming l is positive.\nAnswer: l**(-172\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*d**3*s**3 - 737*d**3*s**2 + 1515*d**2*s**3 + d**2*s**2 - 5*d**2 wrt s.\nAnswer: -42*d**3 + 9090*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a meter in millimeters?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5756 - -5833. Suppose 4*g - 28 = 16. What is the greatest common divisor of a and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2667029 is divided by 1539?\nAnswer: 1481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/8)\/((-20)\/(-16)). Let j = -347 - -348. Which is smaller: j or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -3*m**2\/2 - 153*m - 7803\/2 = 0.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 3. Suppose 0 = -2*b - 2*t - 0 + 6, -s = 4*t. Let x = b + -10. Sort 2, 1, x in decreasing order.\nAnswer: 2, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(11 + (2 - 4)). Suppose -114 = -3*b - 0*b. Let a = b - m. What is the least common multiple of 18 and a?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -65, 3, -5, -2, -37, 6, -3 in decreasing order.\nAnswer: 6, 3, -2, -3, -5, -37, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.79 - 2.9. Let t = -96 - -95.81. Let y = t + n. What is the biggest value in 0, 1\/2, y?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.329 - -0.071. Let h be (-14)\/(-8) + 1\/4. Let g = 163 - 1465\/9. Which is the second biggest value? (a) h (b) y (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 12:04 AM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25436328 + 25436348 + 2*w**2 + 0*w**2.\nAnswer: 2*w**2 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38 - -37.97. Which is the closest to 0.1? (a) 1 (b) -3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -836 + 832. Put -3, -2540, x in increasing order.\nAnswer: -2540, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 687 and 14339751.\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(104)\/sqrt(8) + (sqrt(65)\/sqrt(125))**2.\nAnswer: -12\/25 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 301398 or 9343352\/31?\nAnswer: 9343352\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wuumwuwouzzwzzmuzuw. Give prob of sequence uwo.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 261959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12589895*r**3 - 2*r**2 - 16*r - 167487 wrt r.\nAnswer: 75539370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -8\/7, -297, -2, -0.1, -1\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000354495165 to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 132 + -134. What is the closest to -1\/9 in s, 0.3, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 6 = -2. Solve p = -2*q - m*q, 5*q + 3 = -2*p for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1729*d + 1719*d + 70 = 0 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9\/10 of a kilometer?\nAnswer: 90000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*n + 8*n + 12*n)*(n**2 - 2*n**2 - n**2 + (-2*n - 3*n + 3*n)*(5 + 2*n - 5)).\nAnswer: -54*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 6*j + 4*j = 0. Suppose j = 2*o + p - 105, -3*o + 5*p = -158 - 32. Calculate the greatest common factor of o and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 a, and 1 s when three letters picked without replacement from {s: 1, a: 1, l: 2, i: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 + -17. Suppose -5*v - 1 = 3*a, 4*a + l = -v + 3. What are the prime factors of 8*(v\/(1\/32) - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/468 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -92*r + 25. Let v be n(3). Let g = 177 + v. Let k = -50 - g. Is 3 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, q: 2, d: 3}. Give prob of picking 4 q.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 2*a**2\/15 + 2*a\/15 - 4\/5 = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -58 * -3.\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 6980.\nAnswer: 3490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 1, 5 in decreasing order.\nAnswer: 5, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7}. Give prob of sequence hhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -16\/11, 2\/3, 5, 0.3, 3?\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1830\/(-5795) - (-796)\/114)*(-3)\/(-1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1947 < -1595.42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55, 72, 89, 100, 99, 80, 37?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4353122 is divided by 27.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i - 2. Let n be c(-4). Let j be -2 - 3\/((-3)\/n). Suppose j = -0*x - x + 9. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 915 divided by -2?\nAnswer: -915\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 952693 to the nearest integer?\nAnswer: 976","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-333)\/(-222)*3\/(-9).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 6*r**2 + 41*r + 36. Let q be m(-6). Solve -102*v - q = -96*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -10 + -7 + 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a micrometer in nanometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddbdddbddddddddddbb. Give prob of picking 4 b.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*y + 57*y = -312 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 0 (c) -1\/15 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 5119*u**2. Let q(a) = 8*a**2. What is t(q(b))?\nAnswer: 327616*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5726 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a**2 - 41*a + 128. What is i(6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 668 + -668.3. Which is the closest to d? (a) 2 (b) -5\/2 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1257, -0.5, -21\/4 in increasing order.\nAnswer: -21\/4, -0.5, 1257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -95*g. What are the prime factors of t(-2)?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00978 less than -2?\nAnswer: -1.99022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 443*v**2 - 156*v**2 - v + 132*v**2.\nAnswer: 419*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -7330*b + 44303. Give s(6).\nAnswer: 323","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**3 - 5964 - 5969 + 11933.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (-9 - (-6 + 0)) + 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m. Calculate the least common multiple of t(12) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1068935.9 rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 13*f**2 + f - 8. Let z be b(13). Suppose -z*p = 3*l - 37, 2*p - 2*l - 12 = -2*p. What is the smallest common multiple of 10 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3684 - 2100. What is the greatest common divisor of 12 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/347)\/(70\/(-105)). Which is smaller: k or 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 0.639.\nAnswer: 0.1917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 72 - 237. Let w = j - -165.00000146. What is w rounded to 7 decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 9*t**2 - 2*t - 9. Let p = 29 + -38. Let y be j(p). Suppose 8*v - y*v + 331 = 0. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -128 - -179. Suppose -131 = 14*g + x. List the prime factors of -13*(-1 + (g - 1)).\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccnnccnccccc. What is prob of sequence cnc?\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 - 17. Suppose -i + 30 = 4*h. Suppose 0 = -h*g + 137 + 128. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ygyyggggyyyy. Give prob of sequence yggy.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + 66*r - 735. Give x(14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -192096489 divided by 64032163\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -c - 3, -4*c = 2*z - 21 + 9 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -243447 + -6506?\nAnswer: -251054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of w**7\/1575 + w**6\/900 - w**5\/50 - w**4\/20 + 30*w**2 - 1. Factor f(x).\nAnswer: 2*x*(x - 3)*(x + 1)*(x + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*f**3 - 2*f**2 + 5*f**4 + 1 - 5 - 8*f + 4 - 2 + 3*f to p*f**3 + y + k*f**4 + z*f**2 + d*f and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + -5. Let u = 0 + r. What is the units digit of 9*-1*2\/u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 121.1 times 173\nAnswer: 20950.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/(-68) + (-105)\/(-1326))*6. Is 0.7 greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1337 = 64510*v - 64319*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: bdcd (base 16) to base 2\nAnswer: 1011110111001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 78061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 321*a + 324*a + 65*a**3 - 655*a - 2 to i + m*a**3 + r*a + k*a**2 and give m.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4 = -0. Suppose -2*d = -14 + l. Suppose -d*u + 94 = -241. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 2)*(-8 - -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n**7*n)*n**(-2\/9)*n\/(n*n\/(n*n**(-1\/2))*n)*n**(5\/2)*n\/(n\/(n\/(n*n**(-5))))*n*n**(3\/4)*n*n*(n*n**(-8)\/n)\/(n\/n**(-1\/2)*n) assuming n is positive.\nAnswer: n**(-287\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1199, -2319, -3439, -4559, -5679?\n\"Answer: -1120*t - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.336 - 7. Let s = t + -0.081. Round s to 2 decimal places.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -z**5\/60 + z**4\/24 + 83*z**3\/6 - 2*z**2 + 6*z. Let j(b) be the first derivative of y(b). Is j(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 10*b = 12. What is the smallest common multiple of 40 and b?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/63 + 894\/54.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58.1 less than -9.404133?\nAnswer: 48.695867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -228176745 and 0.01?\nAnswer: -2281767.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 369 and 164?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 3 = 9, -2*g = 4*j + 2. Let b(p) = -p**2 - p - 1. Let z be b(0). Sort z, 2, -5, g in ascending order.\nAnswer: -5, z, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1150 is divided by 249?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 13*x**2 - 9*x - 1. Let c be h(12). Suppose 7*y - 5*i - 200 = 2*y, -5*y + 173 = 4*i. Let j = y - c. Solve -3 = -j*t - 13 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00579 to 4 decimal places.\nAnswer: 0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 2 + (-3 - 1) + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 f when two letters picked without replacement from fmnmnufnmfmfmun.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of -107*q**4\/12 - q**2 + 4*q. Let t(n) = -n**2. What is t(a(w))?\nAnswer: -45796*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 10) in base 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 17919 + -72\nAnswer: 17847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and 306756635.\nAnswer: 306756635.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 2\/21, 59, 3\/10?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1325 or -1326?\nAnswer: -1326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three fifths of a millennium?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -37, -79, -171, -331, -577?\nAnswer: -927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/30690 and 8\/165.\nAnswer: 30690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -11232?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 21302478217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -4, -96, 2, -1, -5, -23 in decreasing order.\nAnswer: 2, -1, -4, -5, -7, -23, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28739139 to the nearest integer?\nAnswer: 5361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**3 + 99169125 - 2*o**3 - 49584555 - 49584570.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 522 (base 13) to base 11\nAnswer: 724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(1872) + 3 + sqrt(1872) + -1 + 5.\nAnswer: 7 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 927*w + 13755 = 942*w. What is the remainder when w is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 109\/774 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 58, 283, 678, 1243, 1978, 2883, 3958?\n\"Answer: 85*m**2 - 30*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2\/23)\/(y\/(y**(-1\/2)\/y*y))*y**(4\/7)*y*y**(-4)\/y*(y**0)**3\/(y**0)**(-34) assuming y is positive.\nAnswer: y**(-1615\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7669785 to the nearest integer?\nAnswer: 2769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 502.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 507*z**2 - 38*z - 113. What are the prime factors of c(-4)?\nAnswer: 3, 11, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2777\/6)\/(0 - (-2)\/12).\nAnswer: 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87 = -686*p + 22039 for p.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f**2 - 9*f**2 - 53*f + f**2.\nAnswer: -2*f**2 - 53*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3900988.18256 - 0.5.\nAnswer: -3900988.68256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1257972.3 months?\nAnswer: 1048.31025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0.4 (b) -0.1 (c) -5 (d) 808\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vii when three letters picked without replacement from {i: 5, v: 1, l: 12}?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 PM and 10:33 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -4. Let l = -106639\/1034 + -51\/1034. Let n = 103 + l. What is the nearest to -0.2 in i, n, -0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 102\/25 - 256\/75. Let v(q) be the second derivative of 15*q - u*q**3 + 5\/2*q**2 + 0. Let r(j) = -6*j + 8. Determine -5*r(p) + 8*v(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -128 + 230. Let f = m - 103.07. Let z = f + 0.07. Which is the smallest value? (a) z (b) 4 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-132)\/10)\/((-48)\/160). Let c = b - 42. Calculate the remainder when 3 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34648 and 47641.\nAnswer: 381128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -983\/58166 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 4:06 AM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -81. List the prime factors of r.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/(-216))\/(4\/(-6)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - m. Let f = -85 + 80. Let s(v) = -3*v**3 + 24*v**2 + 101*v + 128. Let k(y) = f*c(y) - s(y). Factor k(r).\nAnswer: -2*(r + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of 3*x**4\/4 + 2*x. Let v be (186 + -14)\/((-2)\/(-11)). Let g(j) = -v*j + j**2 + 946*j. Calculate l(g(o)).\nAnswer: 9*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34 and 377519306.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*p - 1596 = 714 for p.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4*c = -5*g, 2*g - 5*c - 7 = 0. Let p(k) = 5*k**2 - 1. Let n be p(g). Solve -h - 1 = -n for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17143 and 5.9.\nAnswer: 101143.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/11, -1609283, 0.09?\nAnswer: -1609283","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 151, 591, 1333, 2389, 3771?\n\"Answer: 2*b**3 + 139*b**2 + 9*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1057866?\nAnswer: 2, 3, 157, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 0, -12, -28, -42, -48, -40, -12, 42?\n\"Answer: l**3 - 8*l**2 + 5*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3599 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 80 = 56. Calculate the highest common divisor of 24 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 796801*v - 398369*v + 3 - 3 - 398446*v.\nAnswer: -14*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -36787, -36789, -36791, -36793, -36795, -36797?\n\"Answer: -2*d - 36785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 272 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 31227252 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 682\/7603?\nAnswer: 682\/7603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 13*q**2 - 1. Let z be v(-1). Let k be (8\/z + 2)*(-3009)\/(-2). Suppose 36222 - k = 10*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*-12*(-1 - 1). Let y(q) = -q - 2. Let u be y(-7). Suppose -u*w + g + i = 0, -2*w + 11 + 0 = g. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -68120 smaller than -613076\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 1)\/((-17)\/(-51)). Sort m, 2, -5 in decreasing order.\nAnswer: 2, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38477\/19 - 2025. Which is the smallest value? (a) f (b) 2 (c) 0.032 (d) 1\/2 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 - -22. Suppose 0 = -4*k + 4*q + 352, 0 = -7*q + m*q + 4. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(4*sqrt(245)) + (sqrt(77)\/(sqrt(7) + sqrt(7)*2) + 2 + -2*sqrt(11))**2.\nAnswer: -557*sqrt(11)\/84 + 311\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 126, -3, 0, 18, 9 in increasing order.\nAnswer: -3, 0, 9, 18, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2\/10*-8*(-50)\/80\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 887050 is divided by 44352.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 324*t**2 - 8*t - 168. Let o be q(-27). Suppose -41*x = 42437 - o. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.046*-98\nAnswer: 4.508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0, -20, -1, -19929\/2, 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 60356 (base 8) in base 9?\nAnswer: 37031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1178572750?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + -1. Is 4 a factor of (-32)\/(q\/28 + (-24)\/14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54 - 52. Let s be 9\/4 + 3\/(-12). Suppose s*z = -z + 78. Solve 0 = -5*w + 3*j - 8, 2 = v*w + 4*j + z for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence upt when three letters picked without replacement from {o: 4, h: 1, u: 7, p: 4, t: 2}.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2265*o - 3876. Let w(r) = -4*r - 31. Let a(d) = -f(d) + 3*w(d). Differentiate a(m) with respect to m.\nAnswer: -2277","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-54))\/(-2 + 112\/96).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.25337 + 0.5\nAnswer: 0.75337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 6:31 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 5, -3*k = 3*x - 0*k - 3411. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 184 = -45*d, 4*b + 603 - 591 = -4*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7 (b) -261 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10083 = -10*y - 10193 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 3 - (77 - 72).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/43486112 and -113\/2492?\nAnswer: 304402784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*a + 8 = 0. Let r(o) = o**2 - o + 3. Calculate the remainder when 17 is divided by r(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x - 1. Suppose 0 = 45*c - 759 + 579. Let v(g) = -5*g + 5. What is c*k(h) + v(h)?\nAnswer: -9*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 12) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44\/3 - 15. Let d = -69.5 - -69.1. Which is the nearest to k? (a) 0.3 (b) d (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0\/(-2))\/((-2)\/2))\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = 11*q - 16*q + 2*u + u, -58*u - 121 = -q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 4. Let x be l\/(-4*2\/(-4)). Suppose x*m = m. Solve -k + 4*k - 15 = m for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5294421393 to the power of 1\/2, to the nearest integer?\nAnswer: 72763","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.7 less than 0.0213957?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1800.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, o: 1, p: 3, a: 6, x: 3}. Give prob of sequence pppx.\nAnswer: 3\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*y = -29*y + n + 34, 5*y - 53 - 1 = n for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - b + b)*(-2*b + 0*b + b + (-2 + 0 + 0)*(-2*b + 0*b + 3*b) - 3*b - 3*b + 4*b + 3*b + b - 2*b - 5*b + 5*b - 2*b + 0*b + b + b).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -2\/13, -0.06, 4, -1?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1295150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5\/6 - -1\/6. Let a = -614 + 1020. Let l = a - 408. Sort n, l, 1\/4 in decreasing order.\nAnswer: 1\/4, n, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -341 and 286.\nAnswer: -97526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 8*u**2 + 3*u. What are the prime factors of b(-2)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from vkjkkvs?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (16 + 104)*((-1)\/(-1) + 2).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6353114, 12706293, 19059488, 25412705, 31765950, 38119229?\nAnswer: 44472548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -1029*n**4\/2 + 2499*n**3\/2 + 2205*n**2 - 5088*n - 768 = 0. What is n?\nAnswer: -2, -1\/7, 16\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18652979.\nAnswer: 31, 53, 11353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2 + 3*r - r**3 - r**3 + 4 - 3*r**2. Suppose -q = 0, 2*q = 3*x + 5 + 4. Let m(j) = -6*j**3 - 8*j**2 + 8*j + 5. Determine x*m(l) + 8*v(l).\nAnswer: 2*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -75026105 divided by 974365\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3798 divided by -211?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1120, 2184, 3220, 4228, 5208, 6160, 7084?\nAnswer: 7980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*l - 1531 = 1838 - 1129. Calculate the remainder when 968 is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 - -0.463. Let w = -0.183 + o. What is the closest to 2 in -0.4, -2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**15*g*g**(-19) assuming g is positive.\nAnswer: g**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 15, 0*m = -m - 5*y + 169. Let d = -7 + m. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224827 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 463 - 1463\/3. Calculate the common denominator of n and 54\/7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2393, 9554, 21489, 38198?\nAnswer: 59681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 m when three letters picked without replacement from ptmcddtmydttdddm?\nAnswer: 9\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -480 + 1\/(-1)*-1. Is k\/2*(-7 + 5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (-6 - -3 - (3 - 26) - 14).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1337489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of -1382*w**3\/3 + 379*w**2 + 1764*w. What is the first derivative of j(g) wrt g?\nAnswer: -2764","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7478\/(-88) + ((-2317329)\/8844 - -262).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1*192*(-38391)\/(-614256)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 223.5 * 0.228\nAnswer: 50.958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, e: 1, k: 1, g: 1, v: 3, j: 2}. Give prob of picking 3 v and 1 k.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 1359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11\/23 + -123\/161. Let i = -0.025 + -25.975. Let p = i - -25. Which is greater: q or p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 b when two letters picked without replacement from ybgygpyypgyp?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 496 and 2276.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22\/4277 - -1843629\/47047. Let q = h - 39. Which is bigger: q or -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**4 - 26*o**3\/7 - 48*o**2\/7 = 0. Calculate o.\nAnswer: -8\/7, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -154.24 + 154.33. Sort h, -4\/3, 2, 6, 0.4 in decreasing order.\nAnswer: 6, 2, 0.4, h, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -2 + -4 - 2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 300 divided by 15\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -98273 divided by 925\nAnswer: -98273\/925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m + 9*m - 8 = -4*k, -k = 5*m + 7 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 565 + -560. Suppose 0 = -4*y + r*g + 38039, -12*g + 9*g + 3 = 0. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10719409, -10719410, -10719411?\n\"Answer: -z - 10719408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of u**4\/8 - 21*u**3\/2 + 73*u**2 - 1. What is m(20)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + 1 + (-22)\/6. Which is the closest to 1? (a) -2 (b) z (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (0 - -2 - (32 + -24 + -14))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-73190)\/2252*-1*4\/(-5)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4151042 is divided by 34306?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 3:57 AM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, -3, -12, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*k**2 + 27*k**2 + 66 - 64 - 8*k**2 - 2*k as b + x*k**2 + v*k and give x.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -2375?\nAnswer: -2372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25093103 + -29378863.\nAnswer: -54471966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 6*n**2 - 21*n + 18. Let a(p) = -p**2 + 4*p - 3. Let s(j) = -34*a(j) - 6*i(j). What is s(-6)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101 - 107 - 21*s**2 - 108 + 11*s**2 + 316 + 22*s**2.\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + (-38 - -69 - -31) - 76?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 18. Let g = -7 + p. Calculate the smallest common multiple of 16 and g.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8\/15 + 2\/15*z**2 + 8\/15*z = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 7*d**2 - 28*d + 1. Let y(l) = -6*l**2 + 22*l - 1. Let j(n) = -4*v(n) - 5*y(n). Let p(b) = -2*b**2 - 3*b - 2. Calculate -3*j(a) - 2*p(a).\nAnswer: -2*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 50 (base 9) to base 7\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -11, 4, -325824 in increasing order.\nAnswer: -325824, -11, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0037663 rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 8. Let o = 7 + -7.08. Let d = -0.18 - o. Which is the closest to f? (a) -5 (b) -3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35020 a multiple of 206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.263142ug in milligrams?\nAnswer: 0.006263142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 10:57 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13674 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4.2, -15.81, 0.2?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1841 - 1835. Solve 2*b + 10 = 0, -5*z = -b - 11 + c for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -5, 44, -3, -18\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 281.8 - -4?\nAnswer: 285.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/(s*s\/(s**(1\/2)*s))*((s*s**(-5))\/s)\/s assuming s is positive.\nAnswer: s**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 + 32 + 452*k**2.\nAnswer: 452*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 982660550 to the nearest integer?\nAnswer: 31347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 less than -202009.306684?\nAnswer: -202063.306684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4769971.\nAnswer: 4769971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/49? (a) 0.3 (b) -4\/3 (c) 11\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -11101?\nAnswer: -11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -28308, -56663, -85188, -113967, -143084?\n\"Answer: -14*f**3 - f**2 - 28254*f - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 39 = 5*z - 20, -23 = 3*n + 2*z for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 55.4 - -351\nAnswer: 406.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/16 - 2968\/(-224). Sort v, -2, 105 in descending order.\nAnswer: 105, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((0 - (6 + -5)) + -5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -8 + 0 - -4 - 15. Let p = 21 + o. What is the second derivative of 3*b**p + 23 - 23 + 22*b + 4*b**2 wrt b?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 10:54 AM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*w = 123529 + 255079. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*u + 32 = -23*u - h + 2, -u = -7*h - 60 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 3:08 AM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5690604927?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -324, -366, -428, -504, -588, -674, -756, -828?\n\"Answer: r**3 - 16*r**2 - r - 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -3134\nAnswer: 313.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.187 - 15.813. What is the closest to l in -1\/3, 2\/17, -2\/11, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/163 (b) 0.5 (c) 5 (d) -0.2 (e) 795\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -7 + 1 - 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a - 56 = -3*a + 2*k, -20 = 2*a + 2*k. Let o = -89 - -105. Let q = a + o. Put q, -0.9, -0.3 in descending order.\nAnswer: q, -0.3, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**2 + 14*t + 15. Let h be r(-1). Put -49\/4, -4, h in decreasing order.\nAnswer: h, -4, -49\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -6 + 15 + (-3 + 2 - -3).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 289008 and 10035?\nAnswer: 2007","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12146*f - 11857*f + 16762 for f.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + 12*r - 13. Let f(n) = -2*n**2 + 7*n + 1. Let j be f(5). Let k be w(j). Let z(i) = i**2 - 14*i - 10. List the prime factors of z(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 103 = -3*g, 4*g + 0*l = 3*l - 139. Let n = -7 - g. Suppose -2*d - 5*v + 17 = -10*v, -2*d - 5*v = -n. Solve 2*a - 8 = 2*q + a, d = -q - 3*a for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*q - 2 + q + 7 - 3 to o + x*q and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (6971198\/390)\/((-4)\/(-60)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = k - 0*k + 5*r, -5*r = 0. Let w be k + (8 - 2) - 5. Suppose -w*o + 1403 = -237. Is 51 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 33834 in descending order.\nAnswer: 33834, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -4*u - 36. Let r be x(-10). Solve l + 0*i + r*i = 22, -3*l - 3*i = -21 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 249 + -81. Let b(w) = -5*w - 11. Calculate the remainder when s is divided by b(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 6:11 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 + 3*v**2 - 4*v**2)*(-24 + 8*v + 26 + 13*v)*(v - 3 + 3) + v**4 + 0*v**4 + v**4.\nAnswer: -40*v**4 - 4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 b when four letters picked without replacement from {y: 13, b: 1, j: 3}.\nAnswer: 143\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 5:33 AM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 614.4 and 62.\nAnswer: 38092.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -29766.7747 to the nearest 100.\nAnswer: -29800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 + 21*h + 166. Calculate q(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2772 and 5290047.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30*(-14)\/252*3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 121469837 to the power of 1\/2, to the nearest integer?\nAnswer: 11021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96539356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 43*v - 158 - 100 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3\/7 + 171*w**2\/7 - 1728*w\/7 - 3072.\nAnswer: -3*(w - 32)**2*(w + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 4*s**2 + 3*s. Let y be m(-2). Let u(f) = f**2 - f. Let g be u(-1). Suppose g*w - 128 = -y*w. Calculate the greatest common factor of w and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326 = -110*q + 986 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 184 and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -13*v + 2. Let m(i) = -3 + 9*i + 9 - 3 - 4. Give 8*m(o) + 5*z(o).\nAnswer: 7*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1378, -17, -2, -1356 in increasing order.\nAnswer: -1356, -17, -2, 1378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12011 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -2*z + 0 - 1\/48*z**4 + 1\/6*z**3 - 1\/2*z**2. Factor w(s).\nAnswer: -(s - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 13, -8, 1, 5 in descending order.\nAnswer: 13, 5, 1, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((4*-2*sqrt(51))\/sqrt(3) + ((sqrt(612) - sqrt(17))*-5*1)**2).\nAnswer: -21250 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + 8)\/(3\/2). Let j(r) = r + 3. Let m be j(0). Suppose 2*c = m*c - u. What is the smallest common multiple of 2 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6385771.\nAnswer: 7, 29, 83, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 58, 78, 126, 214, 354, 558?\n\"Answer: 2*g**3 + 2*g**2 + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 147 divided by -14\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -2*d - 1234, 2*v = 3*d - 53 + 1907. Let b = 639 + d. Calculate the remainder when 87 is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00343637368 rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 761727?\nAnswer: 3, 253909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6958\/12 - (-4 - -6)\/(-12). Suppose -20 = 4*n, -j = 5*q - 2*n + n. Let c = 247 + q. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2772, 2786, 2810, 2844, 2888, 2942, 3006?\n\"Answer: 5*c**2 - c + 2768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -2. Suppose -5 = -3*h - 3*d + t*d, -4*d = 2*h. Suppose -k + 4*i = 33000, 7*i + 132000 = -4*k + h*i. Round k to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - 10*o - 16. Let l be i(11). What is the third biggest value in 0.5, 3\/4, l, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3*o - 57 = -5*q, q + o = 61. Let v be q\/(-25) - 4\/(-10). Let g be ((0 - v) + -1)*-1. Which is smaller: g or -2\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557482284 to the power of 1\/2, to the nearest integer?\nAnswer: 23611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*f - 2*m - 25, 4*m - 18 = f. Let k = f - -10. Solve k - 5 = -5*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**2 + 39*p - 35. Let b(v) = 3*v**2 - 58*v + 52. Let o(i) = -5*b(i) - 7*y(i). Does 11 divide o(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5004 minus -580.2?\nAnswer: 580.7004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 2 + 1 + (-11 - -11).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, -0.1, -1\/3, 19 in ascending order.\nAnswer: -1\/3, -0.1, 4\/3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -4, 25512, 4 in ascending order.\nAnswer: -5, -4, -2, 4, 25512","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 3*c**2. Let x be i(-2). Suppose 3*r = 3*n - 2*r - 60, x*r = -5*n + 100. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -254, -713, -1380, -2237, -3266, -4449, -5768, -7205?\nAnswer: -8742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1761, 6904, 15471, 27456, 42853, 61656?\n\"Answer: -g**3 + 1718*g**2 - 4*g + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-84)\/(-35))\/((-6)\/(-15)). Let i be 0 + 1 + g + -3. Let j(d) = 4*d**3 - 3*d**2 + 2*d + 2. Is j(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21469741.\nAnswer: 23, 47, 19861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 85 = -5*l, 14 + 22 = 3*l - 2*a. Suppose -4*q - l - 2 = 0. Let u(d) = -14*d - 1. Is u(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 17 - 67 = 0. Let r be 4\/(-32) - j\/24 - 5. Let n(y) be the second derivative of y**4\/12 + 4*y**3\/3 - 2*y**2 - 3*y. Calculate n(r).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -k**5\/3 - 85346*k**4\/3 - 20274424*k**3\/3 - 1593695360*k**2\/3 - 40306124800*k\/3 + 87150592000\/3 = 0.\nAnswer: -85108, -80, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -z**5\/10 - 16*z**4\/3 - 61*z**3\/3 - 30*z**2 - 3*z - 20. Factor l(k).\nAnswer: -2*(k + 1)**2*(k + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 14) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 832598 is divided by 75605?\nAnswer: 943","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23220254 is divided by 43647.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (((-2)\/6)\/(40\/120))\/(4\/(-8)). Suppose 2*b - 20 = -2*b. Suppose k = b*a + 208, -q*k + 3*k = a + 204. Is 12 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 957766648.39999332 - 957766633. Let y = -15.4 + c. What is y rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**2 + 1799*d - 53849. Calculate b(29).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 3*a - 24. Let w be 56\/12 + (-4)\/a. Suppose -3*n = o - 22 - 61, -n - w*o + 23 = 0. Is 14 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + -12 + 9 + -44 + 4 + 23?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n + 16*n = 3*n + 18 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) - sqrt(1452)*-2)\/(sqrt(30)\/sqrt(5)*-6) - ((sqrt(2) - (-5 + sqrt(8))) + 4*1*sqrt(2)))**2.\nAnswer: 205*sqrt(2)\/3 + 2131\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/((-4)\/(-6)) - 1. Is 163 + b + 12\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5993900?\nAnswer: 2, 5, 11, 5449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 + 8 = 5*w. Suppose -w*q = -18*q. Let v(d) = q - 4 + 4*d - d**2 + 0. Determine v(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 131*u**2 + 89*u + 23. Is l(-31) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + d - 7, -3*d + 2*d - 1 = 0. Suppose -k = 3*m - 10. Let z(s) = 1 + 6*s**m - 7*s - 2*s + 7*s. What is z(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000005429 rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2346758 (base 10) to base 9\nAnswer: 4366128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, s: 8}. Give prob of sequence sszz.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 10111000100000001000?\nAnswer: 10111000100000001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 683.87 + -690. Let v = m - -6.1299387. What is v rounded to six dps?\nAnswer: -0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t\/(t*t\/(t**(1\/9)*t*t)))\/t*t*t)\/(t**5\/t)*t**(-8)\/t**(-1\/19) assuming t is positive.\nAnswer: t**(-1511\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 130\/3*q**4 + 35\/3*q**5 + 0 + 100\/3*q**3 - 40\/3*q**2 = 0. Calculate q.\nAnswer: -2, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1078 and -5388\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 13*u**2 + 11*u - 8. Let w be d(-12). Suppose 2*v - 24 = -w*v. Suppose v*g - 2*g = 56. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 4*q**5 - 60*q**4 - 456*q**3 - 968*q**2 - 828*q - 252 = 0.\nAnswer: -3, -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 43*s**2 + 3*s - 3. Let w be k(1). Let v = w - 44. Let y be -1 + 1 - (-10 - (1 + v)). Calculate the highest common factor of 80 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -85720 not equal to -85720?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3330)\/(-105) + (-4)\/(-14). Calculate the remainder when 11 is divided by 12\/28 - f\/(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0805 times 15\nAnswer: -1.2075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 9:06 PM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -230 - -227. Let u be (0 - (4 + -1))*-3. What is the third biggest value in -0.1, c, -0.3, u?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135053529 to the power of 1\/2, to the nearest integer?\nAnswer: 11621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 69527580 a multiple of 3086?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5)\/((m\/(m\/(m\/(m\/(m*(m**(-1\/2)*m)\/m))))*m)\/m*m)*m**(-1)*m**4)**(-18\/11) assuming m is positive.\nAnswer: m**(63\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2*m**3)*(-3 + 1 - 10).\nAnswer: 24*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2210010010 (base 3) to base 5\nAnswer: 3223014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 333.2 + 1.8. Let t = w + -339. Which is the nearest to -0.3? (a) 2\/7 (b) t (c) -6 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 309396470?\nAnswer: 2, 5, 30939647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 4*231\/168)*150\/36?\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3*w + 12. Let t be h(9). Let u be 2\/(-9) + (-5)\/t. Which is the nearest to -1? (a) 2 (b) u (c) -7\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/2)\/((-9)\/342). Let w = 18 - t. Let l(p) = -p**2. Let n(b) = 3*b**2 + 2*b. Let v(d) = -2*l(d) - n(d). What is v(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (6 - (17 + -8)) + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -12*b + 21. Solve -b*d = 3*h + 27, -3*d + 8 = 3*h - 7*d for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/3)\/w**(-1\/2)*(w*w**(1\/3)*w*w*w*w)**(-2\/3))**(-1\/2) assuming w is positive.\nAnswer: w**(67\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3079495 is divided by 1101?\nAnswer: 1099","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/90)\/((-2)\/36*-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76, -58, -32, 2, 44?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.175 + 0.445. Let g = 0.22 - y. What is the second biggest value in -5, 0.1, 0.5, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1122, -2253, -3396, -4557, -5742?\nAnswer: -6957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 - 545*m - 74389. What is g(-279)?\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 313*f + 318*f + 24*f - 13755 for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-5*((sqrt(80) - (sqrt(80) + 0 + sqrt(80)) - sqrt(80)) + 2*sqrt(405) + 1*sqrt(80)).\nAnswer: -420*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21 - 23*z + 54*z - 19 - z**4 to s*z**4 + j*z**2 + l + g*z**3 + y*z and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 5. Let o be 1407\/84*16\/(3 - 1). Let h = -131 + o. Sort -6, h, u in descending order.\nAnswer: h, u, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1085630, 2, 4.\nAnswer: 2, 4, 1085630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31493897 to the nearest integer?\nAnswer: 5612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*b + 18*b - 66. What is the highest common factor of b and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -5*n**4\/24 + n**2\/2 - 9*n. Let i(v) be the first derivative of t(v). Let l(s) = -s**2. What is l(i(d))?\nAnswer: -25*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 - 3 = -5*t for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(286)*1 + sqrt(286))\/sqrt(11))\/(sqrt(12)\/sqrt(24)).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 300, 297, 294, 291?\n\"Answer: -3*r + 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -2*u - 216599, 0 = -2*h - 2*u + 7*u + 86669. List the prime factors of h.\nAnswer: 3, 4813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 1480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 100401.\nAnswer: 3\/33467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248610295.\nAnswer: 5, 17, 2924827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 4*x**2 + 5*x + 10. Let m be u(5). Let h be 3\/15 - (-318)\/m. Suppose -3*g + h = -256. Is g a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -727670 to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/5)\/c**(-3))**36 assuming c is positive.\nAnswer: c**(648\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000164 to 6 decimal places.\nAnswer: 0.000164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/4, -17, -0.03, -3.8, -3, -4 in ascending order.\nAnswer: -17, -4, -3.8, -3, -0.03, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6257 - 17277 = -182*f - 4060 for f.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3667 - -3697. Calculate the least common multiple of n and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.05 and 97.2.\nAnswer: 96.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1\/(z*(z*z*z**(2\/3)\/z*z)\/z))\/((z\/z**(2\/7)*z)\/z**(-2))*(z**(-4)*z*z\/z**(1\/5))\/(z*z**(2\/9))**(9\/11) assuming z is positive.\nAnswer: z**(-901\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 5*b = 4. Solve 21 = b*i - 5*o, 0*o - 13 = -3*i + o for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/8*(-56)\/(-147).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 282*b**3 - 8*b**2 - 12*b - 10. Let o be r(-5). What is o rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5064 and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*c + 36*c**2 + 1\/3*c**5 + 0 + 18*c**3 + 4*c**4 = 0. Calculate c.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92 (base 12) to base 14.\nAnswer: 7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*q**4 - q**3*v + 15*q**2*v + 8*q*v - 3*q - 8 wrt q?\nAnswer: 60*q**2 - 6*q*v + 30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100212 + -1200122?\nAnswer: -1022210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 1978.\nAnswer: 17802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(-6 - (-33)\/6). Let c(d) = -5*d - 2. Calculate c(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 3.6. Let h = 2.3 - 1. Let k = 1 - h. Which is the nearest to -1? (a) k (b) -1\/4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 54 + -5?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(99)\/sqrt(441))**2.\nAnswer: -8*sqrt(11)\/7 + 795\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 101120120221?\nAnswer: 101120121001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -1\/180*d**5 + 0*d**3 + 0*d**4 + 0 + 0*d**2 + 14*d + 1\/378*d**7 + 0*d**6. Factor a(y).\nAnswer: y**3*(y - 1)*(y + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: -364 divided by -7\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 2. Suppose -y = x - 1. What is the units digit of -1 + (11*-2)\/y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, n: 3, a: 5, r: 3}. Give prob of sequence aaa.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 248, 210, 172, 134, 96?\n\"Answer: -38*u + 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.214? (a) 3\/2 (b) -2\/7 (c) 195\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*n - 2*i + 38 = -53*n, -4*i + 11 = 5*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 81021 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n + 0 + 0 - 2*n.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011011011 + 10111?\nAnswer: 1011110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 916759.\nAnswer: 17, 53927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10910367, 21820732, 32731093, 43641450, 54551803, 65462152?\nAnswer: 76372497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 110001001101?\nAnswer: -110001001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3486233?\nAnswer: 3486233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3860*i + 3973. Let x(r) = -7720*r + 7950. Let s(m) = -15*b(m) + 7*x(m). Differentiate s(c) with respect to c.\nAnswer: 3860","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06381 rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2673393610?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -137, 153, 447, 745?\nAnswer: 1047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/2 of a millimeter?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -n**6\/10 + n**5\/4 - 19*n**2 + 17*n + 2. What is the first derivative of t(b) wrt b?\nAnswer: -12*b**3 + 15*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 6 = 4. Suppose 0*b = g*b. Suppose -3*h + m + b*m = -24, -4*h - 4*m = -48. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/4089 and -49\/12690?\nAnswer: 368010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1263 = -2*x + t, 4*t = 9*x - 11*x - 1278. Let n = x + 933. What is the greatest common divisor of n and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 681 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 6*w + 8. Let x be m(7). Let o(y) = -4*y. Give o(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.4 minus 3.53?\nAnswer: -8.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*b**6 + 7*b**5*q**2 - b**2*q**2 + 26*b**2 - q**2 wrt b.\nAnswer: -1080*b**3 + 420*b**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w. Let o(q) = q**3 - 2*q**2 - q - 4. Let f be o(3). Suppose -6*r + r + 5*d = -10, r - 2 = -d. Let y(z) = z**f - z**r - 6*z**2. Calculate n(y(v)).\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 6:18 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 27 = -0*t. Solve -2*v + t*c = 2, -4*c = -3*v + c - 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 453.\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23.51 + -22.5. Let t = 1.0046 - d. Round t to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 541 (base 10) to base 6.\nAnswer: 2301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of 9\/2*t**3 + 0 + 17*t - 243\/4*t**2 - 1\/8*t**4. Factor y(j).\nAnswer: -3*(j - 9)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 - ((-37 - -27 - 18) + -1)?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r - 4. Let t be p(-2). Suppose t = 5*y + 75 - 345. Suppose 0 = 5*h - y - 11. Calculate the highest common factor of 13 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 136301, 545207, 1226717, 2180831, 3407549, 4906871?\nAnswer: 6678797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 45\/4 of a micrometer?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*o + 5 = 0, -5*j = 9*o - 14*o - 35. What is the smallest common multiple of j and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - q + 11, -4*h + 3 = 2*q - 7. Let p = -2 + h. Let y be 528\/30*(p + 5). Calculate the greatest common divisor of 11 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35095?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2074 - -24327?\nAnswer: 22273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2589*p + 2617*p - 5857*p - 3120*p.\nAnswer: -8949*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23426 - -117132\/5. Factor 8\/5 - z*c**3 + 12\/5*c**2 - 18\/5*c.\nAnswer: -2*(c - 4)*(c - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103600000 rounded to the nearest 1000000?\nAnswer: -104000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4320035345 + 5?\nAnswer: 4320035354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.8 - -0.2. Let g = 1.5 - 1.4. Let z = -1.1 + g. Which is the second smallest value? (a) -5 (b) r (c) z (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of (2\/4)\/1*(-12 - -182)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10205.97 - 10206. Let f = 10.5 + -17. Let q = 6 + f. What is the second biggest value in q, -5, i?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 24884\/9 or 2765?\nAnswer: 2765","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 8)*(256*z**3 - 131*z**3 + 5*z - 130*z**3).\nAnswer: 35*z**3 - 35*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 9:54 PM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -64*q + 508. Determine l(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82, 73, 58, 37, 10?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*a - 3*a - 2*a + (-5 - 20 + 7)*(-21*a + 903 - 903) + (1 - 1 - 1)*(3*a - 4*a - a).\nAnswer: 382*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-25)\/(-1)*15*10\/125 and 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -403, -406, -409, -412, -415?\n\"Answer: -3*w - 400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q - 320 = -20*t - 1422, -4*q - 38 = -t - 82 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1030, 2059, 3086, 4111?\n\"Answer: -p**2 + 1032*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 63, 75, 85, 93, 99?\n\"Answer: -c**2 + 15*c + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8880969.\nAnswer: 3, 41, 103, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b*s**3 + 176*b*s**2 + 8*b*s + 48*s wrt s.\nAnswer: 12*b*s + 352*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**3*z**3 - 5897*d**3*z + z**3 + 136760*z**2 with respect to d.\nAnswer: 6*d**2*z**3 - 17691*d**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 0, 8 = -2*n + 26*u - 25*u for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 98*t**2 + 319*t + 59. Calculate n(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 3*t**2 - 5*t - 2. Let h be (-9)\/(-3) + -1 + -5. Give p(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of 2 - 233\/20*a**5 - 6*a + 0*a**2 - 115\/12*a**4 + 0*a**3. What is the third derivative of b(r) wrt r?\nAnswer: -1398","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b + 11. Suppose 0 = -132*p + 5748 + 984. What is the remainder when p is divided by z(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 727 - 2311 = 3*p, -1579 = 3*p + 4*h. Let i = p - -789. Does 57 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = 2*j - 400. Suppose -i + 3*i - j = 2*b, b + 4 = 0. Solve 0 = 4*w - 0*w - i for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of 1\/2*f**3 + 70*f + 0 - 1\/4*f**4 + 1\/10*f**6 - 3\/20*f**5 + 0*f**2. Factor w(o).\nAnswer: 3*o*(o - 1)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7059.133 to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10310156 (base 7) in base 14?\nAnswer: 18b59d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10226548 a multiple of 164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/11 - 278*x\/11 - 280\/11.\nAnswer: 2*(x - 140)*(x + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of 823*s**3 - 310. Let t(i) = -9*i**2. Determine t(p(f)).\nAnswer: -54863649*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 71 = -4*c + 8*c, 0 = 3*k - 2*c - 243. Let j = 87 - k. Is 4 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of 4*y**5\/15 - y**4\/8 - 19*y**2. Find the second derivative of s(h) wrt h.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -61021\/9 - -6780. Sort 1, -1, -0.5, c, 3.4 in descending order.\nAnswer: 3.4, 1, c, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-4))\/(1\/6). Is 4 a factor of -2*d\/((-3)\/(-1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tebl when four letters picked without replacement from {l: 1, t: 2, b: 4, e: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/84 and (16\/210)\/8*1572\/(-16).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + x**2 - 4. Let o be c(0). Let p(r) = r + 3. Calculate p(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(65)*1)\/sqrt(5) - (sqrt(468) - sqrt(13))).\nAnswer: -4*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**3 + 3*x**3 - x**5)*(1 - 3 + 1) + 50*x**4 - 50*x**4 - 34*x**5 + (-x**4 + x**4 - 3*x**4)*(4*x + 0*x - 2*x).\nAnswer: -39*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oc when two letters picked without replacement from ccooccoyoocycyk?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 24109837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 2.1\nAnswer: 8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v - 15 - 7 + 19 - 16. Let a be s(11). Suppose -2*u = -a*q + 367, -4*q + 3*q + 121 = -u. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/sqrt(27)*1.\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 723*m + 1440. What is h(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 474 * -0.6\nAnswer: -284.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -1) + 360 + -370 - (16 - -1).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088) + 1)*2 + sqrt(1088) + 0)**2.\nAnswer: 96*sqrt(17) + 9796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -60 - -60. Which is the nearest to -0.1? (a) 4 (b) p (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -881529*m**2*x**2*y**2 + 53*m**2*x*z - m**2*y**2*z - 11*m**2 + 25*m*x*y**2 - m*x - 15*x**2*z wrt x.\nAnswer: -1763058*m**2*y**2 - 30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 + 14. Let n be ((-44)\/t)\/((-8)\/(-20)). What is the second derivative of -7*z + 7*z + z**3 + n*z - 11*z**3 wrt z?\nAnswer: -60*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1220918918 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4303640 and 110?\nAnswer: 4303640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -378973191 by -1371.\nAnswer: 276421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 2*d + 308, 2*w + 3*d - 7*d = 104. Let t be 108\/(-21)*(-14)\/3. Calculate the highest common factor of t and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 4572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 5*t + 2. Suppose 4*a = 5*u + 36, 4*a = a - t*u + 4. Let -62\/9*n**2 + 58\/9*n**3 + 58\/9*n**a + 4\/9 - 56\/9*n**5 - 2\/9*n = 0. Calculate n.\nAnswer: -1, -1\/4, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1012021 - 221110010011?\nAnswer: -221101220220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-10))\/((-4578)\/22890)*-2*(-10)\/16?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9\/6)\/(1*6\/(-8)). Let f be 0\/(-1 + a - -1). Put -8, f, -4 in decreasing order.\nAnswer: f, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -290 - -282. What is the closest to -2\/5 in -1\/5, r, -3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179*w - 178*w = -4*l + 3, 2*w + 4*l - 6 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xss when three letters picked without replacement from {x: 7, s: 4, w: 5}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in six fifths of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46848, -46845, -46842?\nAnswer: -46839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -s, 4*s - 2*s - 5*m - 9 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*1*-1 - -6. Suppose -6*f = -3*f. Let g(x) = x**2 - x + 56. Let v be g(f). What is the highest common factor of n and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 231 divide 4600134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 3:55 PM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3768 * -20.32.\nAnswer: -7.656576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10202 - 121211?\nAnswer: -111002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kkggggk.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 607246868?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 8:33 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112 and 370188?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) - (sqrt(588) - -2*sqrt(588))) + sqrt(12))**2 - (-5*-1*sqrt(3) + sqrt(30)\/sqrt(90)).\nAnswer: -16*sqrt(3)\/3 + 4332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 + 56 + -43 + 2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -f**6\/240 - f**4\/8 + 3*f**2. Let z(u) be the second derivative of g(u). Let t(c) = 2*c**2. Determine t(z(r)).\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 7460883.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11233 - -3521?\nAnswer: -3312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -2\/17 (c) -0.02 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 + -10. Calculate the remainder when t is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -28, 442, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m - 1. Let i(g) be the second derivative of g**3\/2 + 3*g**2 + 2*g + 6. Suppose 49*c - 9 = 40. Give c*i(r) + 4*y(r).\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5031922 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4122524 is divided by 2061113?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 163 - 339. What is the tens digit of (474\/8)\/((-132)\/r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 9 = -4*w. Let q(z) be the third derivative of -5*z**4\/24 - 5*z**3\/3 - 29*z**2. Let j be q(w). Solve c - b - j = b, 3*c = 2*b + 11 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33037696 divided by 4.\nAnswer: 8259424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 5*c - 174. Let p = -68 + 23. Let d = c - p. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 8*o**2 + o - 1. Determine c(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 138*n**2 + 27*n**6 - 34*n**6 + 116*n**6 + 29*n**6 + 40*n**2 wrt n?\nAnswer: 16560*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 602.5828 litres in millilitres?\nAnswer: 602582.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5608, -6426, -7804, -9754, -12288, -15418?\nAnswer: -19156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y + 24. Give o(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*p - 4*p - 3*p)*(5273 + 6959 + 8510 + 2999) to the form u + g*p and give g.\nAnswer: -23741","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + 4\/((-88)\/550).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2+-50\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.2265 rounded to 1 decimal place?\nAnswer: 62.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 8*z - 15. What is t(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5479438?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -1 + 2*b + 3 + 1 - 2. Let d be u(-2). What are the prime factors of 7 - 4*d\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 323.1507 decades?\nAnswer: 32.31507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*10\/2)\/(122\/122)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -0.8, 129.\nAnswer: -0.8, 2\/5, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 6*s**2 + 212*s - 1650. Calculate o(11).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4*c - 4. Let l(i) = -i**2 + 9*i + 13. Suppose 8*t - 40 = 4*t. Let d be l(t). Determine o(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 - -38. Let g = t + -16. Let c(d) = -10*d**3 + d**2 + d. What is c(g)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -1, -4, -26, 14, -7, 5.\nAnswer: -26, -8, -7, -4, -1, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 19 - 21*b + 27*b + 26*b + 26*b - 60*b.\nAnswer: -2*b - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48736, 97471, 146206, 194941?\nAnswer: 243676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p. Let k(r) = -15*r + 11. Let s(c) = -k(c) - 6*n(c). Let m be s(6). What are the prime factors of 1\/(465\/m - 4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 14*s + 8. Let b = -38 + 51. Let h be v(b). Suppose 2*n - 32 - 10 = 0. What is the greatest common factor of n and h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2475 = -49*x + 2180. Does 19 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -11*n. Let u(x) = -1699189*x + 1699233*x + 4 - 4. What is m(u(w))?\nAnswer: -484*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -93 + 2c?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 305, 267, 205, 119, 9, -125?\n\"Answer: -12*t**2 - 2*t + 319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 + 10*t + 9. Let d be w(8). Let l = 35 - d. Solve -7*s = -2*s + l for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, l: 9, d: 8}. What is prob of sequence dill?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 253.1 + -253.6285. What is t rounded to 2 decimal places?\nAnswer: -0.53","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.14 (b) -211 (c) 0.8227\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36 + -33. Solve 5*u + x*f = -16, 4*u = 3*f - f - 26 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -88c1 (base 13) to base 11.\nAnswer: -13380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*b + 20 = 0. Sort b, 3, 4.\nAnswer: b, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 4*p**3 + 5*p**2 + 13*p + 9. Let z(v) = -v**3 - v**2 - 3*v - 2. Suppose o = j + 3 - 0, -2*o = 5*j - 20. What is j*f(d) + 9*z(d)?\nAnswer: -d**3 + d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 13*h**2 - 76*h - 43. Is r(-16) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -96*3\/(-2 + -4). Suppose -p + 3*p - m = 0. Let c = 7 + -1. Calculate the greatest common factor of p and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-144)\/(-33))\/((-3140)\/8635)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 434 - 431. Let w = -0.597 - 0.403. Which is the closest to 40? (a) m (b) -0.5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.804036 micrometers in meters?\nAnswer: 0.000002804036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n**(-1)\/n)*n)**(11\/2))**5 assuming n is positive.\nAnswer: n**(275\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4913519 rounded to two dps?\nAnswer: 2.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 25 = -d. Suppose -3*w - 38 = u, u = 2*w - 0*u + 22. Let s be (w\/(-10))\/((-2)\/(-25)). What is the highest common factor of d and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + 5*r + 11. Suppose -6 = b - l + 1, -6 = -3*l. Let p be u(b). Which is bigger: p or 0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 10*v**2 - 2*v - 12. What is the units digit of r(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**5 - 8*d**4 + 2*d**3 + 12*d**2.\nAnswer: 2*d**2*(d - 3)*(d - 2)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.19 - 1.19. Let c = 2 + -1.5. Let b = c - -3.5. What is the closest to n in -4, -3, b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525223381 to the power of 1\/2, to the nearest integer?\nAnswer: 22918","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8.74 + 0.26. Let i = 9.15 - r. Round i to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.961 - -32.669. Let t = l - 38. Let w = -0.07 - t. Which is the biggest value? (a) -4 (b) w (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 2222405?\nAnswer: -2222405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44032 (base 5) to base 6.\nAnswer: 21545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oppnspsnnffsscs. Give prob of sequence snf.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (2 + 1) - 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37 - 58. Which is bigger: l or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.059, -185, -5, -0.3, 1 in increasing order.\nAnswer: -185, -5, -0.3, 0.059, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-101)\/(-3) - 3\/(-9). Calculate the highest common factor of q and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/6852 and -133\/6852.\nAnswer: 6852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 189022260+0\nAnswer: 189022260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 62*j**2. Suppose -7 = -q - l - 6, 4*q - 2*l = -2. Let c(d) = -13*d**2 + q*d**2 + 14*d**2. What is c(f(t))?\nAnswer: 3844*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -148 * -266\nAnswer: 39368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19816635?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**3 + 95*m**2 - 4*m + 5. Let s(y) = -2*y**3 + 94*y**2 - 3*y + 4. Calculate -4*l(c) + 5*s(c).\nAnswer: -2*c**3 + 90*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 5*y - 7 = 14, 4*z + 14 = -2*y. Let f = -41581\/20 + 2078. What is the common denominator of f and (-20)\/(-32)*z\/(-10)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1213, -1245, -1335, -1513, -1809, -2253?\nAnswer: -2875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 44818527?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -67\/8, 1, 1583?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.4 (b) -0.01 (c) 941.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14206793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1218, 1217, 1216?\n\"Answer: -y + 1219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -390, -806, -1222, -1638?\n\"Answer: -416*q + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (7 + 1 + (-6 - 3))) + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1813\/(-84) - 1\/(-3) and (-485)\/(-6)*1\/(-15).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4*i + 12429 = 2427, 2*v - 6648 = -4*i. List the prime factors of v.\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4155 (base 6) in base 8?\nAnswer: -1647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 0 - -20) + (384 - 384).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -294019 = 10*n - 257*n + 593452. What is the remainder when n is divided by 597?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259940 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1971840 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z\/(z\/(z*z**(-12\/5))*z)))\/((z*z*z*z**(-5)*z)\/z*z))**(17\/3) assuming z is positive.\nAnswer: z**(289\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 339585 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10109 is divided by 79?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -5*u**2 - 129*u + 38. Let m be v(-26). Solve 3*k - 6*k - m = 0, 5*b = -3*k - 22 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 5*g**2 - 2*g + 3. Let r be h(4). Let a = r + -1. Let f be 4\/a - (-26)\/10. Solve -15 = -3*l + 5*y, 0*l + l - f*y = 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 61.2 and -0.1.\nAnswer: -6.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15*7\/(-252)*27\/30*-2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1416 and 24504.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -4. Suppose -2 = -x + c. Suppose -40 = -4*m - 5*b - 9, 0 = -4*m + b + 13. Solve x + 0 = -m*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 4*m + 3 + 0 = 0, -o + 5*m = -18. Let g(a) = a + 3. Let n be g(o). Suppose -x + 4*r = -n*x + 20, 2*x = -4*r + 20. Does -2\/15 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 634 divide 7456474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15507957 is divided by 278?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21129*a**3 - 2*a - 42257*a**3 + 21245*a**3 - a**4 + 2*a**2 to r*a + u*a**2 + t*a**4 + m + d*a**3 and give d.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - 2031653521084.\nAnswer: -2031653521068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 172*g**3 + 12446*g**2 - 155404*g - 2 wrt g?\nAnswer: 1032*g + 24892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/8)\/((-651)\/186)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wtnn when four letters picked without replacement from {x: 6, t: 3, b: 1, w: 2, n: 3}.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 7*d**3 + d**2 + 2. Let q(w) = -w**3. Determine h(r) + 6*q(r).\nAnswer: r**3 + r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 4*j**3 - j**2 - 5*j + 3. Let h(i) be the first derivative of 9*i**4\/4 - i**3 - 11*i**2\/2 + 7*i + 16. What is 7*f(z) - 3*h(z)?\nAnswer: z**3 + 2*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -593\/9 - -66. Let l be (12\/(-8))\/(6\/16). Let w be (l\/10)\/(24\/(-90)). Which is the closest to -0.1? (a) z (b) w (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1609216225?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -11. Let f = x + 3. Let v = -2 + 2.1. Which is the smallest value? (a) f (b) 2\/5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 97983 and 313443.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1331) + -4*sqrt(1331)*-1 + -4)*1)**2.\nAnswer: -440*sqrt(11) + 33291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/3 + 2236*c**2\/3 + 8968*c\/3 + 2992.\nAnswer: -2*(c - 1122)*(c + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {d: 1, x: 3, h: 4}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*((-9)\/(-6))\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d + 5*d + 3 - 6 - d - 3*d**4 as r + n*d**2 + q*d + p*d**4 + t*d**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/564 and -15\/689396.\nAnswer: 2068188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 219 divide 10856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 6*n + 8. Let w(p) = 3*p**2 + 17*p + 23. Let v(h) = -17*b(h) + 6*w(h). Calculate the least common multiple of v(-2) and 99.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - 5*t + 4. Let v be w(5). Suppose -v = -18*f + 16*f. Let -9 - 4*d - 7 - d**f + 12 = 0. What is d?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2450 (base 9) to base 14\nAnswer: -947","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/2 of a micrometer in nanometers?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1975 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 36*u**2 + 4*u - 38. Let b(r) = -43*r**2 - 5*r + 38. Let l(n) = 5*b(n) + 6*s(n). Determine l(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2144 - -2143. Let n = 0.1 + -0.2. Let q = n + 0.4. Put q, -2\/13, z in ascending order.\nAnswer: z, -2\/13, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/10*(-7 - -2). Suppose -2*i + 0*i + 2*t - 62 = 0, 0 = 3*i + s*t + 78. What is the tens digit of (-1980)\/(-21) + 8\/i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b - n = -4*b + 36, n + 4 = 0. List the prime factors of b*(-4)\/8 - -75.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 + 91728 - ((-6)\/14 - 760\/(-140)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 221690 and 2.\nAnswer: 221690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1033378 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 + 460*s**2 + 1 - 27.\nAnswer: 460*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2168*i. Let v(l) = -2*l. What is v(c(w))?\nAnswer: 4336*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 5 + 2)*(1097 - 1097 + 893*f)*(-1 - 2 + 1) as h + b*f and give b.\nAnswer: 1786","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 18538420500 rounded to the nearest 100000?\nAnswer: 18538400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4038589587 to the power of 1\/3, to the nearest integer?\nAnswer: 1592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -52.14 + 51.74. Which is the closest to -88? (a) 3 (b) v (c) 2\/9 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/10*-1*5. Suppose 3*p + 5*o - 7 = 0, h*o - 3*o = -5*p + 21. Let s = 41 + p. Is s a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of -480*-2*(-33)\/(-44)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2084 - 3117. Let k = -596 - m. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 228*x**2 + 39*x + 34. Let p be d(-25). Let l = p - 617559. Round l to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*g - 23*g - 1480. Calculate the highest common factor of g and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u - 40. Let g be o(24). Let f = 33 - g. Which is the smallest value? (a) 9 (b) f (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 5*g + 2*s = 42, 5*g = -3*s - 62. Let i be (2\/g)\/((-16)\/(-10)). Put 2\/3, -6, i in ascending order.\nAnswer: -6, i, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 463 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1532 + 1532. Which is the closest to 0.1? (a) -3 (b) q (c) 3 (d) -10\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**3 + 722*z**4 - 720*z**4 + 2*z + 109*z**2 + 24*z**3 - 77*z**2 to a*z**3 + s + u*z**2 + d*z + k*z**4 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*f*g**3 - 887*f*g**2*k**3 - f*g - 4*f*k**3 + 2*f*k**2 + 35*f - 4 wrt g.\nAnswer: -9*f*g**2 - 1774*f*g*k**3 - f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12470581*v**3 + 2091889*v wrt v?\nAnswer: 74823486*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) + (2*sqrt(156) - sqrt(156) - sqrt(156)))*6)\/(2*sqrt(108)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120011010021012 - 11?\nAnswer: -120011010021100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -364 - -550. List the prime factors of q.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -23*m - 1 - 19 + 104*m**2 - 110*m**2. Let r(o) be the third derivative of o**5\/30 + o**4\/3 + 7*o**3\/6 + o**2. Calculate 6*p(b) + 17*r(b).\nAnswer: -2*b**2 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.5 - 0.3. Let x = -29.2 - -29. Which is the smallest value? (a) x (b) v (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -5 + 1 + 3 - a. Let r = 2 + -8. What is the units digit of q(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**3 + 3*g**3 - g**3)*((-2 - 2 + 6)*(-5*g - 3*g + 3*g) - 1 + 1 - 2*g).\nAnswer: -36*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 12 = -g. Let w = g - -7. Suppose 4*c = -4*y + 20, y - 7*c = -2*c - 7. Is w < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -8.5. Which is the biggest value? (a) m (b) -4 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/11, -335, -2\/103, 0.1, 1.\nAnswer: -335, -2\/103, 0.1, 6\/11, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58*-8.\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 3) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.052*-9.\nAnswer: 9.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 17 + 1a?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(510))\/sqrt(10))\/((sqrt(3) - sqrt(147))*-3)*-2.\nAnswer: 4*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + 27 + -11 + -21 + 14 + 6.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -3. Is (8 - z)*26\/6 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 985794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of 5939*z**5\/10 + z**4\/12 + 1600*z**3 + 4987*z + 1. What is the third derivative of i(w) wrt w?\nAnswer: 71268","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 32\/20 - (-2)\/5. Suppose 0 = -l - 3*o - 1, 2*l = l - u*o + 2. Suppose l*a - 59500 = 3*a. What is a rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 25 = a, 2*a = -5*o - 28 + 69. Suppose 0 = c + 2*c - o. Let x = -65 + 73. Calculate the remainder when x is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 + 0.7. Let c be 9\/(-6)*(-1)\/(-2). What is the closest to 1 in 2\/3, p, c?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9106641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1148275070.\nAnswer: 2, 5, 19, 6043553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.6 in -4, -9, -0.27?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-14 - -6 - -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 322, -4, 0, -2, -5, 2.\nAnswer: -7, -5, -4, -2, 0, 2, 322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 681 and -12.852?\nAnswer: -8752.212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - 9. Let a be ((-8)\/r)\/((-2)\/18). Let f(y) = y**3 + 6*y**2 + 6. Does 5 divide f(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -x - 16, -2*x + 20 = 4*q - 20. Solve -16*i**3 - i + q*i**3 - 2*i**2 - 2*i**4 + i = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-15)\/(-6))\/((-2)\/(-4)). Suppose 2*s = 7*s + 15, -j*w - 5*s = 0. Let m be 2\/w*33\/22. Which is the closest to 0.3? (a) 4 (b) m (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 3 + 7)*(-4 - 4*y + 4) as c + k*y and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 4*u - 104, -2*m = -3*m. Suppose i - u = 3*t, 0 = -i + 2*i + t - 10. Calculate the remainder when i is divided by (1 + -3)\/((-2)\/5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26.15 greater than 0.34401?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 12:02 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 2496*p**2 + 2202*p**2 + 4171*p - 2050 + 2862*p**3 + 75*p**5 - 1012*p + 2779 + 765*p**4 = 0.\nAnswer: -3, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q + 7*q - 12*q + (3 - 1 + 0)*(-4*q - 1 + 1) + (q - 3*q + 4*q)*(1 - 1 + 3).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -13.7, 822, -10, 3, 25?\nAnswer: 822","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 204 and 60?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9 - 11?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.51 + 0.01. What is the nearest to -0.09 in 0.4, 0.07, d?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 7*g**2 - 25*g - 1289. Give q(-12).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 7*n + 261. Let x be f(24). Calculate the highest common divisor of 33 and x.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -439 + 125. Let w = m + 206. Which is greater: w or -107?\nAnswer: -107","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 9, h: 9}. Give prob of sequence hhh.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 15*o + 177. Let q be p(-7). Let c = q + 514. Is 20 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 328*i + 39. Let x be g(5). Suppose 0 = 2*o - 4*f - 1674, -x = -o - o - f. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26 + 1 - -37) + 9 + -5.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -5*w - 6, 2*w + 9 = 4*f - f for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 + 5)\/((-2)\/(-68)). Suppose -4*m - 271 = -0*k - 5*k, 12 = -3*m. Let s = k - y. Calculate the remainder when s is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 418209836 to the nearest integer?\nAnswer: 20450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43 and 731.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 303.94 rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 9) to base 6.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 16. Suppose 9 = 5*o + 3*d - w, -9 = -3*o - d. Let y(r) = -r**2 + 4*r + 1. Let s be y(3). Solve 0 = -f + 3, -h - 5 - o = -s*f for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24450.\nAnswer: 2, 3, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 2*j + 232 + 392, s + 116 = -4*j. Let x = s + 195. What are the prime factors of x?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -6. Let p = 23764 - 23766. Suppose -3*f = -10 - 2. Put f, p, j in decreasing order.\nAnswer: f, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-48)\/216 - 43\/9)*1. What is the fourth smallest value in -1\/19, 0.2, -0.5, t?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d**(-1\/3)*d)\/d*d)\/d)\/d**5)**(-50) assuming d is positive.\nAnswer: d**(800\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -9f576 (base 16) in base 5?\nAnswer: -131341122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 9*y - y - 3 + 7 - 3 + 1. Let x(p) = -7*p - 3. What is 3*n(z) + 2*x(z)?\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 336226516.\nAnswer: 2, 84056629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3*a + 25 = 0, -3*x - 6*a + 15 = -3*a. Solve -x*c - 3*s = s + 10, 5*c = -2*s - 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 12:41 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/13, 5, 25, -14, 7\/3, -3\/8, 11?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 20, 27, 34, 41?\n\"Answer: 7*s + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.95 - -0.05. Let r = -7536 - -37688\/5. Is v less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, -4, 47 in descending order.\nAnswer: 47, -4, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1195891 or 1195864?\nAnswer: 1195864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -12353405122?\nAnswer: 12353405123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 + 20. Let g(h) = h**3 - 12*h**2 + 6*h + h + 10 + 3*h + 5. Let s be g(11). Solve r*j - s*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 82 - 81. Let b be 127\/(-645) - 17\/(-85). Which is greater: h or b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, o: 9}. What is prob of sequence nno?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -30*7\/((-42)\/(-4)). Find the common denominator of -33\/4 and 5\/g + 67\/(-20).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 578456?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 99 = -6*k + 30*k. Solve 17*u - 12*u = -3*n + 7, -5*u - k = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-7) + 100\/35)*1. Let b be (5\/5)\/(1\/x). Solve -5*d - 33 = 2*n, d + b = -2 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 449205 divided by 3?\nAnswer: 149735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 14 - ((8 - 8) + 1)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47732 is divided by 1767?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 4*f - 10*f = 4, z = 4*f + 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 103\/5, 2, 3.1, -4\/7, 0.1, -2 in descending order.\nAnswer: 103\/5, 3.1, 2, 0.1, -4\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzgggvzzzhvnvzzzg. Give prob of picking 1 n and 1 z.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 36 and 14083?\nAnswer: 506988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4279028641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 197075759 to the nearest integer?\nAnswer: 14038","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.41 - 0.59. Suppose 0 = 35*w - 33*w. What is the nearest to w in 0.2, a, -8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/3 (b) -39 (c) -0.3 (d) 0 (e) -4 (f) 33 (g) -130\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (6 - -1) + 44 + -50.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 457? (a) -5 (b) 1\/4 (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278179 is divided by 638?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 461 is divided by 58?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45*(6\/27)\/((-312)\/(-468)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 1 = 5*p + 6, 3*p - 20 = -4*h. Suppose h*g = -5*l + 25, -17 = 2*g + g - 5*l. Solve -5*a = w - 0 - g, 0 = -5*a for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/10, 9, -96, 1\/6 in descending order.\nAnswer: 9, 1\/6, -1\/10, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28618476, -28618477, -28618478, -28618479, -28618480, -28618481?\nAnswer: -28618482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22100?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3074 divided by -29?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 390, 831, 1566, 2595, 3918, 5535?\n\"Answer: 147*j**2 + 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -4*g**3 - 8472*g**2 - 5981232*g - 1407583264 = 0.\nAnswer: -706","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.07473m?\nAnswer: 74.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 5*f. Suppose p + 14 = -5*o, f = 2*p + 3*p - o - 34. What is the least common multiple of p and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 5. Suppose 0 = 3*b - 3*p - 27, -q*p + 0*p - 10 = 0. Let f(v) = v**2 - v - 4. Let r be f(3). Solve g = -2*i - r, i + b*g = 2 - 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-21)*-7 + 0.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 371 - 327. Suppose 18 = x + t, 2*x - p = -3*t - t. Calculate the greatest common factor of x and 322.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - (31 + -4))*(-1008)\/8. Which is smaller: i or 3779?\nAnswer: 3779","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lukg when four letters picked without replacement from kgruwklr?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 211*c - 1269. Let a be x(6). Let r = 0 - -1. Put r, 3, a in descending order.\nAnswer: 3, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 - 9)*(3*c + 3*c - 5*c) - 2*c - c + 2*c + (-1 - 5 + 5)*(3*c + 4*c - 4*c) + (1 - 3 + 3)*(-c + 3*c + 0*c) - 3*c + 5*c + 3*c.\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -65 (b) -2\/9 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (165\/(-220))\/((-28)\/(-9072)*-3).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2\/5 - 313676*q\/5 - 4638024.\nAnswer: -4*(q + 74)*(q + 78345)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 3. Suppose -5*x = -10*x + 65. Let t = -11 + x. Suppose -t*i = i - 9. Give w(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 167*q**3 + 8*q**2 - 12*q + 16. Let y(x) = 335*x**3 + 18*x**2 - 26*x + 36. Give 9*d(r) - 4*y(r).\nAnswer: 163*r**3 - 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -30*k - 52. List the prime factors of k\/(7\/(-3556)*6).\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -35*i + 15. Let x be n(-7). Suppose -2*y - x = -524. What is the greatest common divisor of 48 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -368.612 rounded to the nearest 10?\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -725\/1085839 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -44624460 divided by 6294?\nAnswer: -7090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (3 + -9)) + -9 + (5 - -31)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**4 + 5*y**2 - 5*y**2 + (19*y + 20*y + y)*(2*y**3 - 2*y**3 + 2*y**3) to the form w*y**4 + z*y**3 + l + a*y + q*y**2 and give w.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 78461420 by -2.\nAnswer: -39230710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of 2*x**3\/3 + 96*x**2 + 4608*x + 198. Factor a(i).\nAnswer: 2*(i + 48)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0*i = -3*b + 407, -5*i = 5*b - 1020. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1924*x**6 + 2*x**5 + 6*x**2 + 118*x.\nAnswer: -230880*x**3 + 120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (924\/1694)\/(6\/22). What is the fourth biggest value in -2, n, -5\/2, 12\/17?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 348*n = 2323 + 2897. Solve 0 = n*l - 17*l - 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12262, 0.4, -18, -2\/15 in descending order.\nAnswer: 12262, 0.4, -2\/15, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 152969?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddppdd. What is prob of picking 2 d?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-939 - -942) + (1 - (1 + 27 + 2))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 165403 (base 8) in base 15?\nAnswer: 12c5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210376 is divided by 70122?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 476.46 - 493. Let z = 2.06 - g. Let o = z + -19. Which is the nearest to 3? (a) -2 (b) 0 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(153) + sqrt(153) + -3*sqrt(153) + 0 + 2*sqrt(153)*3)**2.\nAnswer: 7650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 3:17 PM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -920 + 923. Let j = 784901\/7 - 112315. Let u = j + 186. Which is the smallest value? (a) u (b) 2\/11 (c) s (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 220*v**2 + 42*v - 74. Is b(2) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*x = 5*x + 424 + 156 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1160 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**3 + 5*d**3 - d**3)*(d - d - 2*d) + 15*d**4 + 2 - 31*d**4 + 23*d**4.\nAnswer: 3*d**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 1)\/((-109)\/981) + -22?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -528292?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4622*l + 2014*l + 4439*l to g + w*l and give w.\nAnswer: 1831","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -556 divided by -242\nAnswer: 278\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 4*o - 2*w - 514 = 0, -o - 5*w + 101 = 0. What is the greatest common divisor of 14 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1655 + 241165?\nAnswer: 236210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 188 - 180. Suppose o*x - 16*x + 2320 = 0. What are the prime factors of x?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -5\/3*o**3 - 7\/2*o**5 + 9*o + 1\/6*o**4 + 2 + 0*o**2. What is the third derivative of w(s) wrt s?\nAnswer: -420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zlzk when four letters picked without replacement from kxxqxlxqxkqwqxzqxzq?\nAnswer: 1\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d**2 - 2. Let f be v(-2). Let g = f + -7. Suppose -g*z - 3*u + 120 = 0, 2*u - 120 = -4*z + 6*u. Calculate the highest common factor of 7 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.06 (b) 4.2 (c) -0.2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4cb (base 13) to base 10\nAnswer: -843","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -106.96 + 133. Let w = 26 - t. Is 7 smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h - 5. Let u be w(-8). Suppose 0*s + 8 = u*g - 4*s, s + 2 = -g. Suppose g = i - 5. What is the remainder when 9 is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -0.005.\nAnswer: -0.005, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p - 16. Let d be u(8). Solve 0 - d = -2*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -2*w - 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*r**2*s + 413243*r**2 - 809*r*s + r + 3*s + 357 wrt r?\nAnswer: -38*s + 826486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1519 + -123. Is 107 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of -s**4\/12 - s**3\/6 - 148*s**2. Let a be 1 + -1 + 30\/10. Let x(m) = -m - 1. Determine a*o(k) - 3*x(k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (16\/12)\/(2\/(-3)). Let k(i) = 0*i - i**3 - i**2 + 2*i - i - 1. Let x(o) = 5*o**3 + 2*o**2 - 2*o + 3. Determine u*k(f) - x(f).\nAnswer: -3*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 96 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/6 - (-13)\/3 - 800\/175. Sort 39, -3, 3, v, -1 in decreasing order.\nAnswer: 39, 3, v, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, -2, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 8:14 PM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 10*w**2 - 2*w + 23. Let n be p(10). Let h be 1 + 0 - (-5 - n)\/2. Solve 4*q + 1 = -4*o + 33, 10 = -q + h*o for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 n when two letters picked without replacement from nnxnnnxtxtnxn.\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.10280401 to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 42\/(-6 + 12)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9672 - -9673. Calculate the lowest common multiple of f and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 604932, 604892, 604852, 604812, 604772, 604732?\n\"Answer: -40*u + 604972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 520706373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or 4883990?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -98*m**3 + 5587*m**2 - 72*m + 735. Give y(57).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 4*q - 35, 5*b - q - 32 = 3. Let x = 0 + -5. Let w = b + x. Solve -3*m - 7 = w for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v*v*v**(-16)*v)\/v*v**(-1\/8))\/(v\/(v\/(v\/v**(2\/7))))**(-23\/6) assuming v is positive.\nAnswer: v**(-1745\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -1.25\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 12 = -0*n. Let h be (-1)\/(-3) - 222\/(-9). Suppose 2*b + b + 4*q = 10, 4*b = -3*q + h. What is the lowest common multiple of n and b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/36 and (7 - 12) + (-7774)\/(-1755).\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 4*f + 2*f)*(3*f + 0*f - 4*f) + 3*f**2 + 5*f**2 - 15*f**2.\nAnswer: -13*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3266738436 to the power of 1\/3, to the nearest integer?\nAnswer: 1484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of 2*c**2 - 11*c - 98. What is p(8)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -16*j**2 + 105*j - 38. Let d be s(6). Solve -25*x + d*x = -54 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -4*l - 9. Let g be y(4). Let h = g - -35. Let s be 10*5*4\/5. Calculate the highest common factor of h and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8122619957 and 0.8?\nAnswer: 8122619957.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1342910 is divided by 2459.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of s**3 + 1994*s**2 + 3*s - 269 wrt s.\nAnswer: 6*s + 3988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1210\/(-20) + (45\/6)\/(-3). Let v be 0*7*(-3)\/r. Suppose h = -4*o - 57, 0 = o + 4*h - 5*h + 18. Sort -3, v, o in descending order.\nAnswer: v, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12287663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 5*b - 12 + 3*b - 2*b - 3*b. Let n = -38 - -54. What is the lowest common multiple of a(8) and n?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1437 is divided by 1430.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 2*i - 1 + 7)*(-4*i**4 + i**4 + 2*i**4) + (-4*i - 7*i + i)*(4*i + 2*i**4 - 4*i).\nAnswer: -21*i**5 - 6*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/661678 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 275 = 2*f + 85. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 16*m**2 + 12*m**2 + 16*m**2 + 8*m**2 - 51*m**2. Let v(b) = -b - 161. Calculate d(v(r)).\nAnswer: r**2 + 322*r + 25921","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-3))\/(24916\/417943752). Let u = o - -15236206725361\/1363029780. Let w = -1\/10941 - u. Find the common denominator of -69\/8 and w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 + l. Let z be (3\/9)\/(2\/24). Let u(y) = 40*y**2 + 4*y + 45. Let k(m) = z*a(m) - u(m). Find the first derivative of k(o) wrt o.\nAnswer: -88*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 + 39. Let y = i - 65. Factor y*c**4 - c**2 + 37*c**3 - 12*c**3 + 5*c**2 - 11*c**3.\nAnswer: 2*c**2*(c + 2)*(3*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - o - 1. Let v(f) = -19*f**2 + 16*f - 6. Let a(i) = 5*i**2 - 4*i + 2. Let t(x) = -22*a(x) - 6*v(x). Give -t(q) + 8*w(q).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*z - 3*z + z in the form v + j*z and give j.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 830*y + 1666. What is p(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47.1 - -40. Let f = -1.76 - g. Let b = f - 0.14. Round b to zero dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/((v\/(v**(23\/5)\/v))\/v))**(-6\/11)*((v\/(v\/((v*v\/v**1)\/v)*v*v*v))\/v)\/(v*v*((((v*v\/(v\/(v\/v**(-26))))\/v)\/v)\/v)\/v) assuming v is positive.\nAnswer: v**(-1818\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (1 + (sqrt(63) - sqrt(7)))) + (4*-4*sqrt(7))**2 + (2 + (sqrt(28))**2 - sqrt(7)) + 2 + sqrt(56)\/sqrt(8).\nAnswer: -sqrt(7) + 1823","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -x, 3*f + x = 3*x + 20. Suppose 6010 = -f*q - q + 5*d, -3*q = -d + 3604. What is q rounded to the nearest 10?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 9 - 4. Let p = -8.6 - -10. Let h = -0.6 - p. Which is the third biggest value? (a) h (b) j (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2684250 by 36.\nAnswer: 149125\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1281 - 388 - 539 - 836*g - 315*g - 567 with respect to g.\nAnswer: -1151","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 23 = -4*n, 3*y + 1 + 4 = 2*n. Let r = n - -5. Let g = 174 - 169. What is the second smallest value in g, r, -0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 4*g**2 + 6*g - 1. Let q(r) = 7*r**2 + 13*r - 2. Let t(x) = 5*f(x) - 3*q(x). Calculate the remainder when t(-7) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1324, -2633, -3954, -5293, -6656?\nAnswer: -8049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -g**7\/63 - g**6\/45 + 84*g - 56. Let s(c) be the first derivative of r(c). Let s(n) = 0. Calculate n.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.162446 to two dps.\nAnswer: 1.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 5*i = 7 + 13, 12 = 2*n - 4*i. Suppose n*y - 8 = -4. Suppose k + y = 4. Solve 2*a - s = -7, -5*a + k*s - 7 = 3*s for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8 - (20 + (-1746)\/144). Let t = -15 + 9. Let c = 1 + t. Sort -0.4, -5\/4, c, f.\nAnswer: c, -5\/4, -0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4545320 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -16b733 (base 12) to base 11\nAnswer: -249549","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2 + sqrt(192) + -2)**2.\nAnswer: -64*sqrt(3) + 211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (40\/(-50))\/(2\/(-105)). What is the remainder when 179\/7 + (-24)\/q is divided by ((-20)\/(-6))\/(7 + (-366)\/54)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (9 - (21 - 5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6371799?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195708.\nAnswer: 2, 3, 47, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 3*v. Let b be z(-3). Let d be (858\/5)\/(b\/(-450)). Round d to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) 4 (c) -58147 (d) -5 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3272?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 20*y + 8. Suppose 4*n - 4 - 8 = 0. Suppose -5 - 10 = -n*r. Let m(w) = -49 - 47 + 7*w + 6 - 52 + 145. Give r*j(p) - 14*m(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*a - 86*a - 164 = -4*j, 70 = 2*a - j. Calculate the remainder when 108 is divided by a.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddi when four letters picked without replacement from dddddddidddd?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 + 87 = 4*i - 2*g, -2*g + 49 = 5*i. What are the prime factors of i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 342 + -343. Which is the closest to f? (a) 14 (b) 1 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3559, 3560, 3561, 3562?\n\"Answer: h + 3558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ec + -2ff0d?\nAnswer: -2fff9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4711\/7860 - -1\/1572. What is w in -1\/5 + 1\/5*w**3 + v*w - 3\/5*w**2 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 8 - (-7 - (-14 - -13))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 0 - 8 - 3 - 2*a - 3. Let f be p(-7). Solve f = -b + 2*m + 12, -3*b = -4*b + m + 8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -455 (base 6) to base 11\nAnswer: -153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a micrometer in nanometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + 7. Let b = g + -13. Let t = b + -10. What is the third smallest value in t, 0.2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/6 + 5 + 1906\/15. Let c = -133 + d. Let s = -81637\/20867 - -6\/1897. Calculate the common denominator of s and c.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 49586543.\nAnswer: -14875962.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 263997\/13 at most 20306?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (41 + -51 + 9 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**2 + 4*x - 3. Give k(-5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14503154.\nAnswer: 2, 7251577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*l = 0, -r + l = -0*l. Let v = 7 - 7.1. What is the closest to v in -3, r, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 9*f + 1. Let r = 7 + -3. Suppose -z = -r*z + 3. Give t(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o**(-1)*o)\/o))\/o)**43\/(o**(-2\/9)*o*o**(-1)\/o) assuming o is positive.\nAnswer: o**(398\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n - 10. Let o be b(-20). Let z be (-10)\/25 + 554\/o. Suppose 5*q - z = -10. Solve -2*k = q + 1 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -20*a**3 + a**2 - a + 1. Let i be t(-2). Let k = 1171\/7 - i. Which is smaller: -8 or k?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/15135323?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-7)\/3)\/((-93)\/558)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gchpjpge. Give prob of sequence ghg.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of -f**6\/24 + 7*f**5\/60 + 7*f**4\/24 + 3*f**3\/2 + 15*f**2. Is h(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4*u - 102 = 0, -a + 2*a - u - 51 = 0. List the prime factors of a.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 111 = 27. What is the derivative of 22*y - 173*y - 112 + l*y wrt y?\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - r**2 - r)*(-2 + 1 - 1) + 4*r**2 + 5*r - 54 + 36 + 21.\nAnswer: 6*r**2 + 5*r + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/36*2)\/((-9)\/144*8)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*m**4 - 20*m**3 - 40*m**4 - 2*m**2 - 13*m**3 - 10*m + 36*m**3 in the form t + y*m**2 + l*m + i*m**3 + f*m**4 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 45 - 25 + 3*o - 15. Let f(d) = -5*d - 10. Give 4*f(a) + 7*p(a).\nAnswer: a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7077?\nAnswer: 3, 7, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 4 - 0. Does 23 divide 1\/(o*(-3)\/87)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7477496 to the power of 1\/2, to the nearest integer?\nAnswer: 2735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q + 9. Let p be c(-7). Let i be (-2)\/(-8) + 1372\/p. Let v = i + -23. List the prime factors of v.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2 + 0*p**2 + p**2 + p + 2*p. Let c be h(-6). Suppose -c + 2 = -2*u - 2*a, 0 = 5*u + 2*a - 38. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - 103 - 2) + (0 - -18) + -14?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -11. Find the common denominator of -53\/8 and a - (-4)\/336*-302.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 312?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 81*j**3*x - 2*j**3 - 6072*j**2*x - 4*j*x - 23*j - 143*x - 11 wrt j?\nAnswer: 486*j*x - 12*j - 12144*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -3*l + 9963 - 9866, 8*g - 108 = -4*l for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28 + 5 + 13 + 2*r to the form m*r + o and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*d**4 - 95*d**4 + 39*d**4 - d**4 + 4*d**4 - 5*d**4 + (2*d**2 - 3*d + 3*d)*(2*d**2 - 1 + 1) - 4*d**4 - d**4 + 4*d**4 + 12*d - d**4 - 34*d - d**4.\nAnswer: -49*d**4 - 22*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/4 - 0)\/(((-46)\/(-9))\/(10864\/2037))?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tthhhhrthmttvvmtth. What is prob of sequence vhtt?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1440388 to the nearest 10000.\nAnswer: 1440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2171878 millimeters to nanometers.\nAnswer: 217187.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 252118410 to the nearest integer?\nAnswer: 632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4*s - 10. Let r be b(8). Let l be r - 3\/9*0. Is (4 - 7) + l + -1 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 6:11 AM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n + 1. Let h(o) = -2*o + 3. Let a(p) = 3*b(p) - h(p). Let u(y) = 152*y. Calculate u(a(l)).\nAnswer: -152*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 22*f - 123. What is s(-26)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 4.286259km?\nAnswer: 428625.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 24 = -5*v. Let f = v - 8. Suppose 4915 = f*s - 3085. What is s rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -479 + 485 - (0 - (-6 + 1 + 2 + 44)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, r: 3}. What is prob of picking 2 r?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 1486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -15220 to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/6)\/((-7)\/(-42)). Let o(u) = -3*u - 4. Let w be o(g). Suppose -m = 2*j - 9, w*j = 5*m - m - 16. Solve 6*h - 11 = h + j*l, 0 = -h - l - 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 7*c**2 - 6*c - 10. Let d be g(8). Suppose 6*z = 3*z + d. Let -2*p + 4*p**2 + p**3 + z*p**5 - p**3 - 4*p**4 = 0. Calculate p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 28 = -49. Sort -5, 2, o in descending order.\nAnswer: 2, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {i: 1, h: 2, q: 2, t: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 16, 19, 14, 1, -20?\n\"Answer: -4*q**2 + 15*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*k**2 + 15*k**2 - 35*k**2.\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1\/3 (b) -0.7 (c) -0.3 (d) 44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (22 + (-12 - (0 + 1)))) + 26\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -377, 6, 1, 18 in increasing order.\nAnswer: -377, 0, 1, 6, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, b: 2, a: 5, j: 1, p: 5, z: 1}. Give prob of picking 1 j and 1 b.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 5 + 1)*(-3*g**3 + 6*g**3 - 2*g + 84 - 86) in the form c*g + o*g**3 + t*g**2 + h and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 333, 318, 285, 228, 141, 18, -147, -360?\nAnswer: -627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1338 and 768.\nAnswer: 171264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 3*q = 5 + 5, 3*q = y + 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 5) to base 7.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-182)\/(-39)*(-12)\/(-35)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 3071223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 85035558 to the nearest integer?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3195*j**2 + 284*j + 142. Let v(k) = 68*k**2 + 6*k + 3. Determine 3*m(s) - 142*v(s).\nAnswer: -71*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2552 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6764)\/1602 - (-539)\/441?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.6 + 2.89. What is p rounded to two dps?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 19, -1142, -2\/29, 14?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, -39, -297, -907, -2013, -3759, -6289, -9747?\nAnswer: -14277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/14*14\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.69985 + 0.7. What is o rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/7)\/(k**(-11\/6)\/k) assuming k is positive.\nAnswer: k**(125\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(5) + -1) + -3 + sqrt(20)\/sqrt(4) + -1.\nAnswer: -sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/41440 and 47\/10?\nAnswer: 41440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 208?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x - 1. Let n(p) = -3*p + 2. Suppose 2*o + 0*o - 10 = v, -4*o - 3*v = 0. Let s(u) = o*n(u) + 2*q(u). Let j = 9 + -7. What is s(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**3 + 4*j**3 - 4*j**3 + (-2*j**2 + 0*j + 0*j)*(15*j + 3*j + 21*j).\nAnswer: -80*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -4360 (c) 3\/1096 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1931.2 - -1.914148\nAnswer: -1929.285852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/(-72) + 2*2\/80. Let v = p + 4\/25. Suppose 4*f + 4 = -4*j, -f = -4*f + j + 1. Is f at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -209, 2, -12, 4 in decreasing order.\nAnswer: 4, 2, -1, -5, -12, -209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a - 1. Let q be s(-4). Suppose -v - 30 = -q*v. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a millimeter in micrometers?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210434 is divided by 105191.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + d. Let q be w(3). Let f(t) = t**2 + 4*t - 5. What is the units digit of f(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 7*r**2 + 6*r - 5. Let x = 22 + -15. Is i(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1502234 + 5155?\nAnswer: 1511433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21\/4 + 5. Let l = 22146 - 22146.32. What is the second biggest value in l, y, 2, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.48 - 0.69. What is the second biggest value in h, -0.1, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -98*n**2 - 22*n - 105. Let p be f(-8). Let r = p + 13901. What is r rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 948261.5um to millimeters.\nAnswer: 948.2615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m = -4*m - 68. Let o = m + -13. Suppose s + o*s - 55 = 4*v, -v = 2*s - 35. Calculate the greatest common divisor of s and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2543.\nAnswer: 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/(-12))\/3*(-2)\/(-40)*4.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3823\/21 + 182. What is the common denominator of q and -20\/51?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -5*n**4 + 425*n**3 + 1765*n**2 + 1335*n = 0.\nAnswer: -3, -1, 0, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 444?\nAnswer: 444","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h + 2127. Let j(f) = -5*f - 9568. Let g(x) = 9*d(x) + 2*j(x). Let l(q) = 1. Let u be -2 - (-2 - -1) - -2. Determine u*g(v) - 4*l(v).\nAnswer: -v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 299440, 21 in ascending order.\nAnswer: 4, 5, 21, 299440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/4 (b) 2 (c) 0.4 (d) 3 (e) -7.12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3881 - 3872. Sort 3, 4, h, -0.5 in descending order.\nAnswer: h, 4, 3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 9*k - 18 = 0. Suppose j = k*z + 116 + 5, 5*z + 4*j = -179. Let q = 13 - z. Is q a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 5*u**2 + u + 2. Let k be d(2). Let y = k + 18. Let i(j) = 9*j. Calculate the remainder when i(2) is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(99) + 6*sqrt(99)*1 - sqrt(99)) + sqrt(99) - sqrt(99))\/(sqrt(1089) + sqrt(1089)*1 - sqrt(9)))**2.\nAnswer: 8*sqrt(11)\/7 + 240\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 17*a - 122. Let l be m(23). Let u = 3 - 1. Suppose 4*k = -2*i - i + l, -3 = -u*i + 5*k. Sort -1, i, 2 in increasing order.\nAnswer: -1, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 - 562 = 134*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12383*s**3 - 10740*s**2 wrt s?\nAnswer: 74298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h - 2*r + r - 10, r + 2 = h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -2\/5, 2\/7, 4\/3, -0.1, 467?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7755149723 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -39 and -8.\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 204?\nAnswer: -209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 z when two letters picked without replacement from zzty.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 3:38 PM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 372, 739, 1104, 1467?\n\"Answer: -w**2 + 370*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w + 10417 = 3865. Let r = -476 - w. Which is the nearest to 2\/5? (a) r (b) 0.2 (c) 3\/2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93738955?\nAnswer: 5, 83, 107, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 11:38 PM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by -75106\nAnswer: -11\/75106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 261354?\nAnswer: 2, 3, 43, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 - 2*z**4 + 2*z**2)*(850 + 608 + 178 + 45).\nAnswer: -3362*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 8 - 7. Suppose -y = -5*b - q - 8, 3*y = -3*b + 33. Let s = y + 25. Does 12 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 150, 307, 468, 633, 802?\n\"Answer: 2*u**2 + 151*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*m**3*t**3 + 562*m**3*t**2 - 22914*m**2*t**3 + t**2 + 24 wrt t.\nAnswer: 24*m**3 - 137484*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -974, -1748, -2520, -3290, -4058?\n\"Answer: a**2 - 777*a - 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1186.2 + 1186. Let n = -3.7 + 4. Let t = -0.2 - n. Which is the closest to 1\/4? (a) t (b) -18 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 2*z**2 - 4*z - 7. Determine q(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -3\/2608, 0.06, 6 in descending order.\nAnswer: 6, 0.06, -3\/2608, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 184 and 598?\nAnswer: 2392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-1\/15))\/r*r*r*r*r**(-9)*r*(r\/(r\/r**(-3\/4))*r)\/(r*(((r*r**1\/r)\/r*r)\/r)\/r*r*r) assuming r is positive.\nAnswer: r**(-401\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.673539 millennia to months.\nAnswer: 8082.468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1087450 and 3250?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 284379474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.14355829 rounded to 2 decimal places?\nAnswer: 1.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1298 = 5*r - 462. Let f = r + -39. What are the prime factors of f?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -2*s**3\/9 + 3790*s**2\/9 + 6786*s + 16562 = 0.\nAnswer: -13, -3, 1911","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) 3 (c) 365\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l**2 + 9*l + 10. Let a(q) = -8*q**2 - 27*q - 30. Let p(k) = -4*a(k) - 11*d(k). Let j be p(10). Solve j = 4*m - 7 - 5 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*j**2 + 1618 + 168*j**2 - 1618 as t*j**2 + b*j + l and give t.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143 - 273 + 132 - 1915*z.\nAnswer: -1915*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -47951693.\nAnswer: -4\/47951693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l. Let m(v) = -v - 1. Suppose 41*r + 5*r = 92. What is r*p(y) - m(y)?\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37265502?\nAnswer: 2, 3, 307, 20231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k*k**(-1)*k))**(-10\/7))**46 assuming k is positive.\nAnswer: k**(-460\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 806 - 762. Suppose 219*x - 208*x - i = 0. Solve -16 = -x*h - 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 + 3)*(-z + 224607*z**2 - 361*z**3 - 224607*z**2) in the form p + b*z + g*z**2 + l*z**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-2*((sqrt(114) - -2*sqrt(114)) + sqrt(114)) + sqrt(114) + (sqrt(114) - (sqrt(114)*1 + sqrt(114))*-1 - sqrt(114)))\/(-2*sqrt(30)\/sqrt(45)))**2.\nAnswer: 75*sqrt(19) + 4375\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 5*q - 25, -2*t - t = -2*q + 10. Suppose 5*f + w + 1 + 4 = 0, q*f = 2*w + 10. Solve 2*d + 2 = -f for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 26*u**2 + 69*u - 2. Suppose -23*r + 143 = -240 - 146. What is f(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 197169?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 12 - 0. Suppose -53 = -i*w + 5*l + 10, -2*l = -5*w + 66. Solve 3*c + 0*g = 3*g + w, -2*g + 2 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -114 - -115. Let m = 15.86 + -16. Let s = m - -0.04. Sort t, -2, s in descending order.\nAnswer: t, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -1. Let u(d) be the third derivative of -17*d**4\/24 + 2*d**3\/3 + 5*d**2. Let p(i) = -6*m(i) + u(i). Find the first derivative of p(c) wrt c.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 50*r**3 + 499*r**2 + 440*r - 9.\nAnswer: (r + 1)*(r + 9)*(50*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40 + -10. Suppose -7*u - x = -8*u. Suppose -l + 9*s = 4*s - u, 9 = l + 2*s. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -231*r + 6*r - 3*r = 14*r - 12584 for r.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -4*y + 24, 0 = -4*y + a - 2*a + 20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - r)*(-1180*r + 912*r - 1649*r).\nAnswer: 1917*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -484*b**3*j**4 + 192*b**3*j + 3*b**2*j wrt j?\nAnswer: -5808*b**3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 288\/(-21) + (-14)\/49. Let r = -14 - a. What is the second smallest value in -1\/3, r, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-870)\/(-9) - (-2)\/(-3). Suppose w = 3*w - a. Does 16 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188383 a multiple of 165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -119 - -121.1. Let o = 0 - 0.1. Let y = o + f. What is the second smallest value in 4, -3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 19*z**2 + 92*z - 1472. Give a(11).\nAnswer: 508","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 10*f - 4. Let r(b) = -9*b + 3. Let i be -6*(0 + 162\/(-12)). Let u be 4\/(-3)*i\/18. Calculate u*r(h) - 5*x(h).\nAnswer: 4*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1208800 rounded to the nearest ten thousand?\nAnswer: 1210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4 = 0, -4*i + 1 = -5*n - 5. Let l = 10 + -2. What is the highest common divisor of n and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 129892757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -23.78, 0.13, 0 in ascending order.\nAnswer: -23.78, -1, 0, 0.13, 2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -149*f - 14. Let q(y) = 298*y + 32. What is -9*k(m) - 4*q(m)?\nAnswer: 149*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 856405.\nAnswer: -1\/856405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 443\/4 (b) -0.299 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 - 1141410*c - 14837485.\nAnswer: -5*(c + 13)*(c + 228269)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 7 - 3 = 0. Let c(u) = -2*u**2 + 4*u + 1. Let n = 5 - 3. Suppose -a - n*a + 12 = 0. Let v(x) = -3*x**2 + 5*x + 1. Give a*v(m) + y*c(m).\nAnswer: -2*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/12)\/((-2)\/2064*-8). Which is smaller: -41 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t + 39*t**2 - 37*t**2 + 52*t.\nAnswer: 2*t**2 + 52*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 3)*(-3*y - 5*y + 6*y) - 21*y + 0*y - 23*y.\nAnswer: -52*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.05 or 32\/163765?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*l + o, 3*o - 9 = 3*l - l. What is the common denominator of -73\/2 and (4\/96)\/(l\/690)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 - 8*h + 10. Let j be m(-8). Is j at most 55\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1954385 times -0.03?\nAnswer: -58631.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 102*i - 429 + 2 + 19 - 99 - 102. Let h be g(6). Determine f, given that 12\/7*f**4 - 1\/7*f**5 - 33\/7*f + 52\/7*f**2 + 8\/7 - 38\/7*f**h = 0.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/82 and -37\/6.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222*i + 233491 - 31375 = 3002*i - 11944 for i.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(144)*3*-1 + sqrt(144)))\/(1*sqrt(108) - sqrt(108) - sqrt(96)\/(sqrt(16)\/sqrt(2))).\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36)\/(-2*sqrt(2)) - 6*sqrt(72))\/(2*sqrt(864) + sqrt(864) + 2*(sqrt(6) - sqrt(6)*2)))**2.\nAnswer: 1875\/4624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000062879 to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3. Let t be m(0). Let z be -2 - 60\/(0 - 4). Suppose -3*p - z + 181 = t. What is the remainder when p is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 209*m + 77. Let y(i) = -11*i - 4. Let c(j) = 4*n(j) + 77*y(j). Let g(s) = -3*s**2. Give g(c(l)).\nAnswer: -363*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9201165*p**3 - 4*p**2 - 8867*p + 17.\nAnswer: 55206990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 6. Let x = -0.4 - -2.4. Which is the biggest value? (a) -0.3 (b) d (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4051358 by 2.\nAnswer: 2025679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 4*w**3 - w - 9. Let k(i) = 2*i**3 - 3. Give 2*d(a) - 5*k(a).\nAnswer: -2*a**3 - 2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -1, 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.3 + 1.5. Let f = 0.082 - 2.082. Which is the second smallest value? (a) f (b) m (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 2*y - 297. Calculate t(23).\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -449*x**4\/5 - 136493*x**3\/10 - 66673*x**2\/5 + 271643*x\/10 - 453\/5 = 0. What is x?\nAnswer: -151, -2, 3\/898, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 36*(-5)\/((-30)\/4). Let w be u\/(-10)*20\/(-8). Let g be w\/9*(-9)\/(-6). What is the highest common factor of 7 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.05132 + -73.00868. Let w = n - -0.06. Let y = 73.3 + w. Which is the second biggest value? (a) -0.2 (b) y (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v - 2. Let r be l(-3). Let c be (4\/(-60))\/((-8)\/18). Let g = c + -17\/60. Is r >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (2 - (-6 - -5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = -8*b + 1. Let z(l) = l**2 + 8*l + 8. Let f be z(b). Is 10 a factor of f + (8 + 205)*2\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33081 = 47*p - 396316 - 171766. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3724 - 167578\/45. Is -0.108 at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -81 - (1 - 63327\/808)?\nAnswer: -29\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2736) - ((sqrt(475) - (sqrt(475)*-2 - sqrt(475))) + sqrt(475) - sqrt(19))**2)*-3.\nAnswer: -72*sqrt(19) + 32832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1638\/70 + (-6)\/(-10) is divided by 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 3*o + 5 - 2 + 2 - 2*o + (-3 + 7 - 2)*(-4*o + 2*o + 0*o) - 97 + 97 - 479*o + 2*o - 2*o - o.\nAnswer: -483*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of y**6\/24 - y**5\/4 + 7*y**4\/16 - y**3\/4 + 87. Factor g(v).\nAnswer: v**2*(v - 3)*(v - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 32366028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4551)\/984 + 6\/(-16). Which is bigger: -1677 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-10) - 44\/(-10). Suppose -j*v = n - 2, 4*v - n + 5*n - 8 = 0. Suppose l + 0*l + 24 = 5*u, -3*u + 4*l + 28 = v. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-43)\/(k\/(k*(k\/(k\/k**(-42)*k))\/k)*k*k*k))\/(k**(8\/11)*k**(1\/3)))**(-37) assuming k is positive.\nAnswer: k**(111185\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.783 to one dp.\nAnswer: -10.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -24, 5, 262?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -5*k + 2*k**3 - 9 - k**3 + 3*k**2 - 5*k. Let p be y(-6). Let w = p + 96. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 54, 1\/8, 14\/9, 0.1, -0.1, 1\/14?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 946253 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -l**4 - 230 + 4 - 1794*l - 15*l**4 + 1786*l wrt l?\nAnswer: -64*l**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 481 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3691570 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.885618 rounded to two dps?\nAnswer: 20.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 7*u**2 - u + 8. Let a be i(7). Let s be ((-825)\/(-60))\/(a\/4). Suppose s + 49 = 2*z. What are the prime factors of z?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 - 31. Let i = 0.287 + -0.037. Is n smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 9190, -25, 5 in descending order.\nAnswer: 9190, 5, 0, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1 + sqrt(42)\/((sqrt(72)*-1)\/sqrt(12)) + -4)**2.\nAnswer: 12*sqrt(7) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 + 7*z. Let m be d(7). Let v(h) = h**3 + h**2 - h + 2. Let l be v(m). Is 16\/9 < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -115, -7, 22, -1, -3, -2.\nAnswer: -115, -7, -3, -2, -1, 7, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of -p**6\/105 - 39*p**5\/70 + 13*p**4\/12 + 10*p**3\/7 - 549*p**2. Let q(h) = 0. Calculate h.\nAnswer: -30, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1485)\/(-1800)*20)\/(-9).\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 106203 (b) 5\/3 (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2502*g**2 + 22*g - 1 - 22*g.\nAnswer: -2502*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - 6*h - 11. Suppose 5*b - 3*x - 38 = b, 14 = 2*b + x. Let d be v(b). What is the greatest common divisor of d and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10663882*m**3 - 6036806*m?\nAnswer: -63983292*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wmwqlqlmlwqqqqmwww. What is prob of picking 1 q and 1 l?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 5 (b) -5 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 458 = -998*c + 1000*c - 5*o, -2*c - 2*o = -416. What is the remainder when 1279 is divided by c?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*v - 116 = -8*v. Suppose 7*r - 6*r = -v*n - 2, -5 = -r + 3*n. Which is the nearest to 1? (a) -19 (b) -1\/5 (c) -3 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -7. Suppose -2*a - 2*r = -16, 0 = -a + r + 2*r - h. Suppose a*v + 4*x + 11 = v, 5*v = x + 20. Solve 3*t = -5*c + 20, -2 - 10 = -v*c + t for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -661 divided by -5\nAnswer: 661\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4439597?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 30*n**2 - 36*n - 118. What is u(-31)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**2 - 14*s + 123. Suppose 58 = -4*t - 5*x, t - 6*t - x - 62 = 0. Let j be w(t). Solve 2*h - 1 = -j for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -401\/41631 or 1?\nAnswer: -401\/41631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 310539.\nAnswer: 3, 17, 6089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1685 - -1829. What is the smallest common multiple of w and 1008?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -22*x**2 + 16*x - 10. Suppose 4*q = 6 - 54. Let y = -7 - q. Let m(o) = 0 - 2*o**2 - 5*o + 3 - 3*o**2 + 12*o**2. Calculate y*a(t) + 16*m(t).\nAnswer: 2*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -22 + 46 + 11889*g - 24 - 1314*g as z + f*g and give f.\nAnswer: 10575","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xeeveemmx. What is prob of sequence xm?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 257011229, 514022457, 771033685, 1028044913, 1285056141, 1542067369?\n\"Answer: 257011228*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 18*b + 2. Let c be -1 - -2 - (0 + -2). Suppose 0 = -6*y + 9 - c. Let x be q(y). Solve -j = -5*j + x for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 1\/4, -2\/13 in increasing order.\nAnswer: -2\/13, -0.1, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 48636660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 248498165 to the power of 1\/3, to the nearest integer?\nAnswer: 629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 2*q**2 - 3 + (4 - 5*q - 4)*(5 - 2*q - 5).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1111 - -1115) + (15 - 0) + -13.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 7:44 PM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3729 is divided by 287.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 31*j - 36*j + 25, x + 4*j - 20 = 0. Solve 4*f + 19 = -r - x*r, -4*r - 16 = 4*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 + 33 = -z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 106, 2 in descending order.\nAnswer: 106, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34\/((4\/3)\/((-18)\/(-27)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 4 + 2*f**3 + 7 - 10.\nAnswer: 2*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t - 1. Let o = -23 - -25. Suppose f = -o + 7. Let y(x) = -14*x**2 - 11*x + 5. Let i(k) = f*w(k) + y(k). What is the second derivative of i(c) wrt c?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -214*h + 1058*h + 750 + 81*h + 155*h**2 - 25*h**3 - 5*h**4.\nAnswer: -5*(h - 6)*(h + 1)*(h + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l - 14. Let u be p(18). Calculate the remainder when 15 is divided by -18*(18\/(-4) + u).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xuuuxuuuuuxxuxuuxu. What is prob of picking 3 u?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*g - 22*g - 2*g.\nAnswer: -15*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j - 2*j + 478*j**2 - 479*j**2 + j + 14044.\nAnswer: -j**2 + 14044","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*o**3 + 11*o**3 - 2*o + 135*o**2 + 4*o**3 + 2 - 24*o**3 in the form x*o + k*o**2 + l*o**3 + h and give k.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*(v\/(v*v**(-3)))\/v))\/v*v*v*(v\/v**(-8\/7))\/v)\/(v**(-5)*v*v**12) assuming v is positive.\nAnswer: v**(-55\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 5*o + 32 + 58 = 0, 11*o - 428 = 4*a - 626 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -996, -5, 0, -17?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*p + 299 + 30 = -695 for p.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -410*f**3 + f**2 + 830*f**3 - 414*f**3.\nAnswer: 6*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8092 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/9, -642, -2\/5?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -7*n**4\/12 - 2*n**3\/3 + 3*n**2. What are the prime factors of o(-3)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3211030001010 + -11?\nAnswer: -3211030001021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32785 = 3*w + 96980. Let b = -21008 - w. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen eighths of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2819517.\nAnswer: 3, 939839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 88192841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -86.9974 + 87. Round a to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1191, -1191, -1193, -1197, -1203?\nAnswer: -1211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 453927 is divided by 2855.\nAnswer: 2837","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3322*r - 1236*r + 2691*r - 1018*r.\nAnswer: 3759*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 176738.5 centuries to years.\nAnswer: 17673850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - -3)\/((-4)\/(-94)). Let n = w - -6. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -6*z. Let v(b) = 11706*b - 55. Give j(v(r)).\nAnswer: -70236*r + 330","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(-3)\/(-18) + (-130)\/(-3). Suppose -48*g + 110 = -m*g. Calculate the remainder when 152 is divided by g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 5*g + 1. Let d be n(-4). Let z = 112.79 - 111.69. Which is the third smallest value? (a) z (b) 0.02 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32814686 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 4*x**3 + x**2 - 4. Determine l(2).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2*i + 27 = j, j = -4*i + 9. Suppose 3*o + 6*o**4 - 11*o**3 + 0 + j*o**2 - 3 - 4*o**3 = 0. What is o?\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}