diff --git "a/data/dm_maths/full_data_1/10872_11255.jsonl" "b/data/dm_maths/full_data_1/10872_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10872_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the value of ((-3)\/6)\/((-9)\/(-4))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 8*x + 9. Let h be a(7). Suppose -5*i = 3*s - 42 + 16, 0 = -4*s + h*i + 78. What are the prime factors of s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5734778 is divided by 334.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyyeyyyyyy. Give prob of sequence yyy.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/3, 10, -1\/14, 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 199283783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 8. Let u be -2 + 1 - (-5)\/(400\/124). Let h = u - 3\/20. Which is the closest to m? (a) 0 (b) h (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiijiji. What is prob of sequence jiii?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24931 and 321?\nAnswer: 74793","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 1 = 4*q, -4*t + 187 = -q + 168. Solve -t*d = -4*c, 0 = d - 30*c + 35*c for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 3*a - 40, a + 22 = 2*u + 2. Suppose 2*f - u = -2*b, -4*b - 14 = -3*f - 6*b. Solve -f*r - k = 25, -9 + 24 = -3*k for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 357832?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-45) + 52\/24*(-56)\/210?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1733635387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -48 divided by -12\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ulumluuuq. What is prob of sequence qlm?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -68087273\/228 - -298629. What is the common denominator of x and 27\/152?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, u: 6, g: 4, a: 4}. What is prob of picking 1 g and 2 a?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 10) to base 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -534777, -534925, -535073, -535221, -535369, -535517?\n\"Answer: -148*c - 534629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -1, 23, 81, 185, 347, 579?\nAnswer: 893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1198, -4816, -10846, -19288, -30142?\n\"Answer: -1206*r**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -54 or -68?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -39*a**2. Let m(i) = -176*i**2. Determine 22*g(f) - 5*m(f).\nAnswer: 22*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 472232?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + -1 + -3 - 2. Let h = g + 9. Solve 2*w = 4*w + h*v + 12, 3*w = -4*v - 12 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.11 and 27.3676.\nAnswer: -3.010436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48727 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of 15\/8*m**4 + 0*m + 0 - 7*m**2 - 2\/3*m**3. Differentiate h(n) wrt n.\nAnswer: 45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -49 - -52. Let n = t + -9. Let j = -6.3 - n. Which is bigger: 2\/9 or j?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133375 is divided by 135?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 7*h - 128. Calculate the smallest common multiple of 11 and h.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - (-1408)\/(-3))*92\/(-20). Let c = w + -2131. What is the common denominator of c and -113\/40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - 1) + (-16 - -40 - -56) + (5 - 2).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 0*l + 4*c + 123 = 0, 3*l - c - 132 = 0. Is 9 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -42*z - 3065. Is 7 a factor of q(-74)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -25, -1 in ascending order.\nAnswer: -25, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-6)*-3*-5)\/((-249)\/249)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/219 and -7\/2484044?\nAnswer: 7452132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 1\/(-5))\/(80\/(-160)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - 3) + 4 - -3. Calculate the lowest common multiple of (l\/(-6))\/(3\/(-72)) and 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33063311 to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/11)*o**(-6))\/(o**(-2)\/(o\/((o*o**(2\/11))\/o))))\/((o\/o**(3\/2)*o*o**(-3))\/(o**(-2\/7))**(-5\/2)) assuming o is positive.\nAnswer: o**(3\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*w + 727313 = 88*w - 336991. Is 125 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13680 and 36?\nAnswer: 13680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000989865 rounded to 6 decimal places?\nAnswer: 0.00099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - 12. Suppose -k + 1 - 11 = 0. What are the prime factors of n\/k*(-6)\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 1 = -4*m, -3*m + 0*k + 2*k = -12. Let w(v) = -v**2 + 2*v - 3. Let s be w(m). Let l be 2\/(s\/(3\/11)). Put -0.5, 0.2, l in decreasing order.\nAnswer: 0.2, l, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -1159?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1386 and 379386.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y + 2. Let o be u(5). Let z be (-1)\/(-1)*(-4 - -3). Let n be ((-3)\/(-9) + 0)*z. What is the closest to 2\/5 in -0.3, o, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148 - 176 = 4*k. Calculate the remainder when (16\/40)\/(k\/(-3710)) is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605589.9 litres in millilitres?\nAnswer: 605589900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1983 + 1978. Let w = 44 + -42. Which is the closest to 1.3? (a) 1 (b) p (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27369, 26196, 25025, 23856?\nAnswer: 22689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 13*n**2 + 25*n - 110. Let c = -520 + 530. Let d be w(c). What is the greatest common divisor of 45 and d?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 284*x**3 - 160*x**3 - 110*x**3.\nAnswer: 14*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -190*55.\nAnswer: -10450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5117*4\nAnswer: -20468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5988, -5957, -5926, -5895, -5864?\nAnswer: -5833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -16281, -32561, -48837, -65109, -81377, -97641?\n\"Answer: 2*z**2 - 16286*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 2*y + 11. What is a(-8)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of -25*i**3 + i**2\/2 + 492*i - 915. Find the first derivative of x(z) wrt z.\nAnswer: -150*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 0.08. Let l = 0 + -1. Is l at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 28\/45 + 40\/(-180). Suppose w - 6 = 3*w. What is the closest to w in -2, r, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 - 8 - 4 - -62769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -155 - -146. What is the units digit of -3 + 392 + (-9 - d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-3\/7)\/j**(-1)*(j\/(((j**(-2\/3)*j)\/j*j*j)\/j))\/j*(j\/((j\/j**(1\/5))\/j))\/j assuming j is positive.\nAnswer: j**(46\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 8*d - 4 = 4*f, 5*f - 2*d = 10. Let m = -10 + 16. Calculate the lowest common multiple of f and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -7 - 25*q + 4 + 2. Calculate the remainder when d(-1) is divided by (68\/(-8) - -4)*-2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 + 28. Suppose 0 = 3*k - 8 + l. Solve -3*h - k = -h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -24756*t + 24162?\nAnswer: -24756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(5\/2)*h*h\/(h*((h*h**7*h*h*h*h)\/h*h)\/h))**(-14) assuming h is positive.\nAnswer: h**91","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 4*n = -3*c + 1287, -2*c - n = -847. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r**0\/r))*r)\/r**(-2\/17) assuming r is positive.\nAnswer: r**(2\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - -55. Let u be 1\/((-7)\/140 + 7\/28). Calculate the highest common factor of t and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217 is divided by 83.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-9))\/(16\/(-6))?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9755 times 3.3?\nAnswer: -3.21915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 131.9471 nanometers in millimeters?\nAnswer: 0.0001319471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16\/3, -193, -4, -1146, -0.3 in decreasing order.\nAnswer: 16\/3, -0.3, -4, -193, -1146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 2*s - 1. Let w(l) be the second derivative of l**4\/2 - 11*l**3\/6 + 5*l**2\/2 - 8*l. Let x(f) = 22*g(f) + 4*w(f). Differentiate x(v) wrt v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 5:26 AM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26757399?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 451 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -257684597293\/264 - -976079405. Let h = o - 15168\/11. Find the common denominator of (72\/(-160))\/(-9)*897\/26*-2 and h.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/30 + 86\/215.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -2. Let l be ((-2)\/6)\/(k\/(-6)). Suppose -h + 5*t + 66 = 3*h, -l*h + 34 = -3*t. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 38*h - 1139. Calculate n(32).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 to the power of 1\/3, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 61*d**2 - 122*d - 200. Calculate x(-59).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 488 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 4*x**2 - x - 4. Let s be w(3). Let y be (-210)\/(-40) + (-1)\/4. Suppose s*n - y = 5*t + 22, n = 2*t + 14. Does 8 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 13*s**2. Let n(d) = 4*d**2 - 7*d + 7. Let w(j) = 3*j**2 - 6*j + 6. Let y(a) = 6*n(a) - 7*w(a). Calculate y(i(x)).\nAnswer: 507*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4, 79, 166, 271, 400, 559, 754, 991?\n\"Answer: m**3 + 68*m - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -199032, -796172, -1791406, -3184734, -4976156?\nAnswer: -7165672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1021 - -1233211?\nAnswer: 1232130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.021253 to three decimal places.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 1 = -9, 5*f = 5*n + 20. Let o be (-314)\/7 - (-8)\/(-56). Let j = 45 + o. Which is greater: n or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1939, 7751, 17441, 31009, 48455, 69779?\n\"Answer: 1939*o**2 - 5*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 - -21. Suppose q*a + a = 5. Suppose -a*o + 9*o = 60. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/x**7)*x)**34 assuming x is positive.\nAnswer: x**272","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30583.052*3.\nAnswer: 91749.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 9*r**2 - 7*r - 1. Suppose 0*b = 5*b - 15. Calculate the remainder when k(8) is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 12 (b) 52\/9 (c) 0.4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {z: 8, m: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -1 - ((15 - 1) + -207 + 181)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -201324086, -402648168, -603972250, -805296332, -1006620414?\nAnswer: -1207944496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-2))\/(25 + (-752)\/32).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from 268.6529655.\nAnswer: 268.8529655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8289 - 11133 - 51260 - 5631 = -919*i for i.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 28*s**2. Let z(f) = 1603*f - 49. Determine z(d(y)).\nAnswer: 44884*y**2 - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**4\/4 - 5*j**3\/2 - 25*j**2\/4 = 0. Calculate j.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -44\/7*q**3 - 38\/7*q**2 + 0 + 12*q - 2\/7*q**4 = 0. Calculate q.\nAnswer: -21, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 3 - (32 + -26)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -a + 3*t, -4*a - 2*t = -0*a - 14. Suppose -49 = -3*h + 4*m - 6*m, -5*m = a*h - 80. What is the remainder when h is divided by (-1)\/2 + (-38)\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-507)\/(-30) + 19\/190. Solve -5*m - o = -27 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -6*t - 1. Let r be o(-1). Let s(f) = f**3 - 11*f**2 + 9*f + 10. Let b be s(10). Suppose -i + 4 = 0, 3*i = -r*v - b*i + 277. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of 0 + 29\/12*d**4 + 0*d**2 + 0*d**3 - 4*d. Is p(1) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 119204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 42, 77, 130, 207, 314?\nAnswer: 457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37 - -43. Let t be 45\/108 - 1\/r. Find k such that -1\/2*k + 0 + 3\/4*k**2 - t*k**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272569 is divided by 83?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 6 + 62. List the prime factors of (2 + -1)\/((-2)\/f).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y + 48 = -8*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2020 + 10010330?\nAnswer: 10002310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12550*q - 134*q = 1766*q + 390150 for q.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -12*s - 48. Let h(x) = 1. Calculate g(o) + 48*h(o).\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4318 + -4245. Let g be 2\/(-7) + 326\/14. Let z = v - g. 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 the highest common factor of 1179 and 47553?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b**2 - 154*b - 5800. Calculate z(-25).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -4, -5 in descending order.\nAnswer: 7, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12655 + -5235. Let n = k + 1185. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 619, 4664, 15687, 37174, 72611, 125484?\n\"Answer: 581*r**3 + 3*r**2 - 31*r + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -131 - 236889?\nAnswer: -237020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 100 = -g. Let d = -18 + g. Suppose 5*o + 2 = k - 3, k = 4*o + d. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 73520 by -8.\nAnswer: -9190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - -2) + (0 - 0). Suppose 24 - 829 = -85*o + 246*o. Let s be 2 - (o + u + 3 + -1). Which is the closest to 4\/3? (a) -1\/3 (b) s (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*y + 110 = -64*y. Let g(u) = 2*u - 42. Let v be g(y). Solve -v*f = -4*w + 10, 5*w - 23 = -2*f + f for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) - (-1 + sqrt(208) + 2*sqrt(208)))**2 + -4 - (sqrt(65)\/sqrt(5) + 4 - sqrt(208)\/sqrt(4)).\nAnswer: -15*sqrt(13) + 825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -12) + 1 + (-1 - 7)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 46.9724 kilograms?\nAnswer: 46972400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of i**6\/96 - 7*i**5\/160 + i**4\/16 - i**3\/3 + i. Let t(b) be the second derivative of k(b). Factor t(a).\nAnswer: 3*(a - 1)*(5*a - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s**3 - 3*s**3 + s**3)*(-5 + 2 + 1)*(0 + 2 - 3).\nAnswer: -14*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 136209 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -80.933 - -81. Round w to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 5*k - 38 + 6, -4*z + 8 = k. Let r be (-1)\/3 - 16\/(-3). Let f(l) = l**3 - 5*l**2 - l + 6. Let c be f(5). Solve r = z*s - c for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-3)*-111 + -1. Suppose -3*p = -5*l + 17, 0 = -2*l - 4*p - 44 + 30. Is k at most as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 10 = 35. Let u(d) = -2*d**3 + 10*d**2 + 4*d - 7. Let b be u(q). Solve -11 = -f - b for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31123*m**3*o**2*t**2 + 158*m**3*o**2 + 562*m**3*o*t**2 + 3426*m**2*o*t - 2*t**2 wrt o.\nAnswer: 62246*m**3*t**2 + 316*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s**2 + 2*s + 8. Let k be m(4). Suppose 0 = 8*u - 10*u + k. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.027, -0.2, -5, 26, 1\/2.\nAnswer: -5, -0.2, 0.027, 1\/2, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - 10 - -42 - 26.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 0 - ((2 - 9)\/(-1) - -2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-2859)\/(-159) + 314 + -332\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 416157 and 5678986.\nAnswer: 834810942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = 3*r - 3823 + 3811, r - 3*g = -28 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -18*s + 78. What is the remainder when s is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20\/(-42)*9 + 2\/7. Is (-2225)\/(-10) - (-2 - 6\/f) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73 = 32*j + 73 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**2 + 52*r + 4*r**3 - r**2 - 17*r**3 + 216*r.\nAnswer: -13*r**3 - 3*r**2 + 268*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-7\/5)*f*f**(2\/5)*f*f*f**(-2)\/(f*f\/f**(-5)) assuming f is positive.\nAnswer: f**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-40)\/(-6)*((-11)\/(396\/81) - -3). Which is the smallest value? (a) -0.0047 (b) o (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(2\/15)*t)\/t*t)**7)**28 assuming t is positive.\nAnswer: t**(5488\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of -j**6\/120 - j**5\/6 - 5*j**4\/12 - j**3\/3 + 2*j**2. Is 2 a factor of c(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60432744 and 606.\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 5*i - 3*n - 32, -2*n = -4. Suppose -7*l = -3*l - i. Let x be 350\/(l*(-4)\/(-208)). What is x rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 9:47 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 397422.38 - 0.08.\nAnswer: 397422.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 - w**2 - 4*w**2)*(-9*w + w + 3*w).\nAnswer: 10*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 9:07 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.288926 rounded to 3 decimal places?\nAnswer: 4.289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41423681.\nAnswer: 13, 3186437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 3*v**2 + 27225*v + 16 - 27225*v.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 8:19 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8885157?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1211, 1392, 0.7 in descending order.\nAnswer: 1392, 1211, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 233*q - 2075. What is the tens digit of x(70)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (485\/10767)\/((7 + 162\/(-36))\/(-1 - -10)).\nAnswer: 6\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -2 - 2. Let d be 2 + (6 - 2)\/(-2). Let c be 47\/(-15) + d + 3. Is w >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**5\/7 + 3*f**4\/7 - 72*f**3 = 0. Calculate f.\nAnswer: -24, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/26 - (-189)\/(-322)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 53, 57, 51, 29, -15, -87?\n\"Answer: -a**3 + a**2 + 8*a + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -866 + -5?\nAnswer: -86b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 2034111.\nAnswer: 8\/2034111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 10399851?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103427764 divided by 5.\nAnswer: 103427764\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/9 + (-568621)\/(-3). Let u = n - -390460. Round u to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2232 + 3?\nAnswer: -2223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -317523a + -3?\nAnswer: -3175242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -3. Suppose 0 = i - 2*g + 3*g - 41, 4*g = q*i - 106. Is i a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.242 + 2.5. Round b to 2 decimal places.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-69462)\/1589)\/(70\/245).\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1892? (a) -0.1 (b) -4 (c) 0.1 (d) 0.2 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -2*y + 35, 3*y - 2*l - 30 = 26. Suppose 6 = 5*t - 34. Let m = t + -2. What is the greatest common factor of y and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 + 1 - (-1 - -2). Let o = -158 - -1104\/7. Let w = -1\/12 + 29\/60. Which is the biggest value? (a) o (b) 0.2 (c) x (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 47527317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17.9 - -1.1. Let p = a - 17. Let f = -0.2 + 0.1. What is the nearest to f in 1, 0, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*o = -439*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 8:43 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4905, -19571, -44017, -78237, -122225, -175975, -239481?\nAnswer: -312737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3*p**3 - 12*p**2 + 88*p - 58. What is x(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0694 - 0.2694. Let s = 12 + -7. What is the smallest value in y, s, 0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -196 (base 11) in base 7?\nAnswer: -442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -0.0754, 393, 0.3?\nAnswer: -0.0754","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4 + 10*p**3 + 5296*p**2 - 10618*p + 5313.\nAnswer: -(p - 77)*(p - 1)**2*(p + 69)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 24, -33, -134, -285, -492, -761, -1098, -1509?\n\"Answer: -d**3 - 16*d**2 - 2*d + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**2 + 3*k**2 - k**2 + (-4*k + 14*k + 27*k)*(-k + k + 3*k) to f + y*k**2 + w*k and give y.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 877*h**3 + 720*h**3 - 98*h**3.\nAnswer: 1499*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1200402002 - 34?\nAnswer: 1200401524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 352?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 512\/(-192) + (-14)\/(-6). Which is the closest to k? (a) -2 (b) -2\/9 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 145248 divided by 4272.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/((4 - 6)\/54). Solve -5*l = -15, 5*l - t = 6*a - 3*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -380e5?\nAnswer: -380e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 + 0.1. Let u(j) be the first derivative of j**2\/2 - 11*j + 56. Let z be u(5). Which is greater: x or z?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*s + 0*s**2 + 51*s + 3*s**2.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -957, -1910, -2861, -3810?\nAnswer: -4757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/(-4)*24\/15. Suppose 21 - 29 = -v*p. Solve -1 = -3*i + p*n - 4, -n = -3*i - 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4 + (sqrt(117) + sqrt(117) + -2 + 5 + -4 + -4)**2*-5).\nAnswer: -300*sqrt(13) + 2461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-13 - 7) - 2?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -815 - -817. Solve 10 = s*v + 14, 2 = l + v for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 25, d + 4 = 3*z - 4. Let c(t) = t. Calculate the least common multiple of 10 and c(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 778409 or 778360?\nAnswer: 778360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5*t + 14 + 0 = 0, 3*t = -3*s. Let i be (-1 - -2)\/(s\/4). Suppose 0*n = i*n - 2. Solve 14 + n = 5*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195938899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2761*v - 2773*v + 23652 = 0. List the prime factors of v.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 960238976 a multiple of 500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y**3 + y**2 - 14*y - 15. Give s(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of m**4\/12 + 2*m**3\/3 - m**2 - 3*m. Let o be 5\/(-4)*(-5 + (6 - 9)). Let q be (-15)\/3 + 10\/o. Determine z(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (260 - -157) + -1 + -7 is divided by 106.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**4 + 5708*x**3 + 155088*x**2 + 1398708*x + 4200498 = 0.\nAnswer: -9, 2881","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1130 + 780.1. Let o = 334 + y. Let z = -19 - o. What is z rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29866, -29200, -28472, -27652, -26710, -25616, -24340?\nAnswer: -22852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 0 = -18. Suppose o*h = -55 + 103. Suppose -7*z = -h*z + 6. Is 4 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 10:25 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 15*j**2 + j + 1. Let d be r(-1). Let z = -331 - -340. Suppose q + 3*u + z = 0, -q - 31*u = -35*u - 19. Solve 2*l = -q*l - d for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*v + 36 + 32 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1326 divided by 13?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from umqroomuozqmquor. Give prob of sequence mro.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/5931 and -25\/972?\nAnswer: 640548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2962613 and 5719171?\nAnswer: 3700303637","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 5*p + 158, -548 = -0*x - 4*x - p. Suppose -f - x = -3*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from obsslxxcsocl. What is prob of picking 1 c and 1 x?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2616, 2615, 2614, 2613, 2612, 2611?\nAnswer: 2610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*f + 18*f - 16. Suppose -17 = -4*y - q, 4*y - f*q + 1 = 13. Solve y*h + h = -25 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -1, 5, -0.3, 0.6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6562*0.5\nAnswer: 3281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -205 - -500. Suppose j + b = 6*j. Calculate the remainder when j is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-64*t + 12*t - 36*t)*(5 + 3 - 4)*(1 - 1 + 1)*(0*t + 4*t - 2*t).\nAnswer: -704*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 73 + -66. Suppose -w*u + 2*u - 145 = 0. Let k = u + 52. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 * -8509\nAnswer: -59563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 8:13 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52 and 962.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 1248?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 658 = 2*n - 1166, 0 = 5*n - 4*m - 4490. Suppose s - 1699 = n. Suppose -5*w = -2534 - s. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 56 + -53. Let b = f + -1. Find the second derivative of -6*t**2 + 4*t**b + 19*t - 4*t wrt t.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000366336 rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (1 + sqrt(112) + 0 + (0 + sqrt(112) - sqrt(112))*2 - 5*(4 + sqrt(112)*-1))**2 + -1)*1.\nAnswer: -912*sqrt(7) + 4389","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -147*f - 2900*f**2 + 279*f - 132*f to p*f**2 + c*f + a and give p.\nAnswer: -2900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 138*k - 13. Suppose 5*o = 5*z + 50, -2*o + z - 14 = -5*o. Is l(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -13, 33, -78, 2, 3 in descending order.\nAnswer: 33, 3, 2, -4, -13, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**4*z - 9067043*b**3*z - 201964*b*z + 23*b - z + 1 wrt b?\nAnswer: -24*b**2*z - 54402258*b*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7)\/((-42)\/(-4))*-3. Suppose 5 = g*v - 1. Suppose -2*s = -3*c + 18, -3*c = -c + v*s + 1. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101100100111001110101 + 10?\nAnswer: -11101100100111001110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 2:55 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.203 + -96.203. Let d = y - -96.000073. What is d rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 13*d - 2. Let n be k(1). Suppose 3*g - 4*m - 29 = m, 5*m = -3*g - n. What is the third derivative of 5*s**4 + 492*s**2 + g*s**4 - 505*s**2 wrt s?\nAnswer: 192*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of 0*q**3 - 2*q**2 - 1\/66*q**5 - 1\/55*q**6 + 5*q + 0 + 1\/66*q**4. Let v(g) be the first derivative of f(g). Factor v(a).\nAnswer: -2*a*(3*a + 2)*(4*a - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*114\/152*(-2)\/60.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 divided by 553?\nAnswer: 57\/553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7750*f**5 - 877*f**5 + 2315*f**5 + (-2 + 3 - 2)*(-2*f**3 + f**5 + 2*f**3).\nAnswer: -6313*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 23018833 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -64*b - 5. List the prime factors of d(-2).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/8)\/(6\/(-8)). Let t(h) = 4*h**3 - 3*h**2 + 3*h - 2. Does 12 divide t(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**3 - 2*n**2 - 5*n + 2. Suppose -412*t + 406*t = -240. What is the remainder when c(-4) is divided by t?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-14) + (-92)\/(-28). Suppose 2*x + 4*y = t*y + 12, 0 = 4*x - 4*y. Solve -m = 1, -v - 3*m + 6*m + x = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18594 plus 112361?\nAnswer: 112361.18594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o - 4*o + 77*o**3 + 3*o - 94*o**3.\nAnswer: -17*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 555, 556, 559, 564, 571, 580, 591?\n\"Answer: m**2 - 2*m + 556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*b - 2*v - 50 = -160*b, 4*b + 35 = v for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(684) + 1) - ((sqrt(171))**2 + 4 + -2).\nAnswer: -172 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 310 and 1085.\nAnswer: 2170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-64)\/(-14))\/(406\/(-1421))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by 39.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -649000310\/9 != -72111146?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 4*u - 14, 5*c + 5*u + 20 = 2*c. Let y be 0 + (-12)\/(c + 1). Let s(z) = -3*z. What is s(y)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40.9 + -6.9. Let o = 31.8 - w. Let y = -2.19815 - o. Round y to four dps.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4530273690?\nAnswer: 2, 3, 5, 367, 411469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r + 5 - 26 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6724 + -6714. What is the remainder when 2\/5 - 3386\/(-10) is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hdcoaoc. What is prob of picking 1 o, 1 a, and 1 d?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/3005080 and 63\/231160.\nAnswer: 3005080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -6, 1, 1305, -20 in decreasing order.\nAnswer: 1305, 2, 1, -6, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 4*v - 28, 5*y - 112 = -3*v - v. Suppose o - 12 = -a, -5*o + 43 + 17 = 3*a. Calculate the lowest common multiple of y and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179215.\nAnswer: 5, 73, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**2 + 2420076*x - 488063987148 = 0 for x.\nAnswer: 403346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6 - (-3835)\/10)*(-4)\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44 + -41. Let q be m - 5\/((-3154545)\/(-467259)). Let n = -1\/7789 + q. What is the common denominator of -29\/7 and n?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(19) + 2)**2 + -2 + -1.\nAnswer: 32 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 c, 1 p, and 1 l when four letters picked without replacement from prlprprrrccrrrlc.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 7*m + 7. Let u(k) = 4*k + 4. Let h(y) = 6*b(y) - 10*u(y). Differentiate h(j) wrt j.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i + 3*v - 37 = -46, -2*i = -v - 3*v - 12 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 14 = 3*h - 0*o, -4*h + 5*o - 14 = 0. Let x be 2 - ((-1)\/2)\/(h\/(-636)). Let k = 58 - x. What is the remainder when 9 is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b*(b**(3\/7)*b)\/b))*b)\/(b\/b**(-10))*(b**(-2\/13))**(-9\/11))**(-4\/5) assuming b is positive.\nAnswer: b**(33816\/5005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 802\/176 + (-10)\/55 and 59\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 164*i - 360. Is 18 a factor of n(37)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 34*d**2 - 339*d + 55. List the prime factors of m(16).\nAnswer: 5, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7238319 millimeters to kilometers.\nAnswer: 0.0000007238319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 45\/2 of a kilometer?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, 268, -3, 4.2, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39 + -36. What is the second biggest value in x, 0, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -940 = -5*q + 5*h, 0 = 3*q - 5*h + 2155 - 2707. Calculate the remainder when 694 is divided by q.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5304 - 2396 - 4538)*(-2*s + 2*s - 2*s) to the form x + u*s and give u.\nAnswer: 3260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 611255 is divided by 1435.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 613209 + 90315 = 0. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 33*f + 61. What is the tens digit of k(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 2*d**3\/7 - 10*d**2 - 146*d\/7 - 74\/7 = 0.\nAnswer: -1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/2 and 63\/398.\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 133571696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.8 - -6. Let m = x + -1. Let z = 2.5 - 3. Which is the second biggest value? (a) z (b) m (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 588323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g**2*n**3 + 368*g**2*n**2 - 11*g**2*n - 3*g*n**3 + 18*g*n**2 - 7*g*n + 3*g wrt g.\nAnswer: -2*n**3 + 736*n**2 - 22*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22000302 - -23021?\nAnswer: -21311221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40776601 is divided by 4077659?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f**2\/5 - 88*f\/5 + 4 = 0.\nAnswer: -10, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l\/(l\/(l*l**0*l*l)))\/l*l)\/(l**(2\/29)*l))**(-15) assuming l is positive.\nAnswer: l**(-1275\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1876 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: Calculate 16 + -73336987.276.\nAnswer: -73336971.276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*-18)\/12*(-2)\/(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 - 8 + 0)*(2 - 4 + 1) - 4 + 1 + 0)*(-3*j**3 + 3*j**3 + 3*j**3) in the form a*j + y*j**3 + g + b*j**2 and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-16) + (-6 - -7) - (-7533)\/372?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-4)*2*-2. Let l = 1418 + -1416. Suppose 0 = w - 1 - a, -2*f + l = -2*w. What is the fourth smallest value in -0.2, 2\/7, f, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*q - 72 + 60 = 0, -5*k = q - 16. Solve 3*c = -k*c - 28 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of -s**5\/60 + s**4\/12 + 2*s**2. Let i be z(2). Let w = -4 - -6. What is the nearest to -1 in i, -0.1, w?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhhhhhhhhxthhxhxh. What is prob of picking 1 h and 1 x?\nAnswer: 24\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -25532830 smaller than -25532819?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6476 is divided by 137?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4\/9 + 14*q**3\/9 + 34*q**2\/9 + 34*q\/9 + 4\/3.\nAnswer: 2*(q + 1)**2*(q + 2)*(q + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*b = 74 + 178 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8984*i + 997141 = -661815 + 464084 for i.\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (1 + sqrt(13))*-6)**2.\nAnswer: 24*sqrt(13) + 472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0418261 to three dps.\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*k - 41. Let s = 1 + 15. Let t be (-1)\/(1*2\/s). Is t less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 19, -29, 200, -4, -6 in ascending order.\nAnswer: -29, -6, -4, 1, 19, 200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8521 + -8521.4. What is the closest to 2 in 4, c, 2\/3, -3\/4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of 2*p**6\/25 + 8*p**5\/25 + 4*p**4\/15 - 14*p + 10. Let t(q) be the first derivative of h(q). Factor t(c).\nAnswer: 4*c**2*(c + 2)*(3*c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*354\/(-42)*((-2)\/(-3) - (-51)\/18).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/2 - (-1)\/2. Suppose -y*l + 22 = -11. Let n = 39 - l. What is the greatest common divisor of n and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -211*i - 3102. What is the units digit of v(-58)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 0*n - 6 + n + n**2 - 8*n + 4*n. Let u be a(6). Solve 0 = 2*d + 5*r - 2, 2*d = -3*d - 4*r - u for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.13122 - 0.10822. Let h = -5.62 + f. Round h to two decimal places.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - 9*p - 8. Let h be f(-7). Suppose 0 = c + t - 25, -2*t - t - 45 = -3*c. Let n = c - 8. What is the highest common divisor of n and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.055 + 0.565. Let t = -3.86172 + 3.2423. Let u = h + t. Round u to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - 2\/(-2)*2. Suppose -4 = -r, -4*a - 3*r - 17 = -s. What is the common denominator of 53\/10 and (4 - 21\/(-12))*a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/10956 and -137\/66.\nAnswer: 10956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4 = -2*u. Let s be -24 - ((3 - u) + -3). What is the units digit of (-4)\/10 + 35\/s*-31?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 2 h, and 1 r when four letters picked without replacement from hrhhnrzhk.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 471931?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -353*k + 348*k = -3029000. What is k rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 66869 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 132 and 372.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*x - 828*t - 14 = -836*t, 4 = 3*x - t for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 9, 2, 1, -3 in descending order.\nAnswer: 9, 2, 1, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 - 52 = -10*y. Let c(a) = a**2 + 3*a - 4. Let p be c(5). What is the highest common factor of p and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1329 a factor of 20931750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -932.3369455 and -15.2?\nAnswer: 917.1369455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-72 + 63*n + 72)*(0*n - 3*n + 2*n) + n**2 + 2*n**2 - n**2 - 2*n**2 - 3*n**2 + 2*n**2 to the form i*n + r + j*n**2 and give j.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.261 - -0.221. Let l = 0.04 + m. Which is the closest to 1? (a) 0.5 (b) l (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y + 3*s + 10, 74*y - 77*y - 2*s = 15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47 + -25. Suppose -a - 30 = -6*a. What is the smallest common multiple of l and a?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2597166 or -2597167?\nAnswer: -2597167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2 - 1450*j + 133272.\nAnswer: 2*(j - 617)*(j - 108)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.432974 litres in millilitres?\nAnswer: 5432.974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -6 (b) -2\/7225 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-6)\/32)\/(6\/154) and ((-1)\/15)\/(388\/25899).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -12034*y - 59888. What is i(-5)?\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 3 - 46 - 2 = 0 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(((-60)\/(-126))\/5)\/((-72)\/27)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-4*(-3 + (sqrt(117) - (-1*sqrt(117) + -5 - sqrt(117)))) + 2 + -4)**2.\nAnswer: 4752*sqrt(13) + 152116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*k - 25*i + 23*i, 5*i + 17 = -2*k. Solve -13*l = -k*l - 36 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*-1*sqrt(132) - sqrt(132))\/(-1*sqrt(432)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 62*k**2 - 3*k - 3. Let t be n(-1). Suppose t*r = 56*r + 36. Suppose -3*m - 56 = -7*m. Solve 4*p - m = r for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + ((-2*sqrt(396))**2 - sqrt(11)) + 3 + sqrt(11) + 0.\nAnswer: sqrt(11) + 1587","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x - 14*x - 2*x + 9*x + 31*x**2 to g*x**2 + u + n*x and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 578.2526t?\nAnswer: 578252600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.523 - 2.023. Suppose 3*q + 24 = -4*z, 18 = -2*z - q + 6. Let t be ((-3)\/z)\/((-1)\/2). Which is the nearest to 0.1? (a) t (b) -1\/4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -100 in -0.1699, 0.251, 1\/2?\nAnswer: -0.1699","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 346 is divided by 123?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 54, 67, 76, 81, 82, 79, 72?\n\"Answer: -2*v**2 + 19*v + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7281 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2641 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: Calculate 2\/(((-9)\/(-36))\/((-2)\/4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 46072 or 46073?\nAnswer: 46073","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 34 = -3*y, -84 = -2*t - 739*y + 741*y. Calculate the highest common factor of 30 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9459.108 - -9436. Let n = 23 + l. Let x = -0.10891 - n. Round x to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -90*p**2 + p**3 + 49*p**2 + 2*p + 41*p**2. Let k be n(-2). Find the common denominator of -17\/20 and 2\/(k\/33) + 1.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9.5 - -9.4947. What is y rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 10*d - 10. Let f be g(9). What is the remainder when (-11 - -9)\/(f\/45) is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (82 + 2 - 9)*(-6*c - 1 + 1)*(3*c**3 - 3*c**3 + c**3).\nAnswer: -450*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -11. Let y(t) = 74*t + 21. Let p be y(u). Suppose -4*z + g = -0*g - p, -4*z + 5*g = -699. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5.3 in -0.05, -3, 358, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11212142021 - 1?\nAnswer: 11212142020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-145)\/((-143550)\/(-1728))*(-35)\/42.\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 1 + 2*v**2 + v**2 + v + 1. Let r(b) be the third derivative of -b**5\/60 - b**3\/6 + 1339*b**2. What is r(h) + w(h)?\nAnswer: 2*h**2 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2003622 is divided by 15653?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -1.75741237?\nAnswer: -4.75741237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 1. Suppose -3*a - 4*t + 15 = -t, t = l. Suppose a = -j + 24 + 31. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/4*1)\/(11*(-15)\/165)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2300 by 460.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*a - n, -n = -3*a + 2*a - 3. Let j = a + 8. Let o(r) = 7*r**3 - r**2 + 2*r + 1. What is the units digit of o(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60945641939 + 0.091\nAnswer: -60945641938.909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h + 24. Let n be q(6). Suppose -13*c + n*c - 1890 = 0. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 12*t**2 - 9*t - 11. Let z(p) = 3*p**3 + 24*p**2 - 18*p - 20. Let k(b) = 5*w(b) - 2*z(b). What is k(11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0156 - 0.029670358.\nAnswer: -0.045270358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c + -825b0?\nAnswer: -825bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j + 0 + 0)*(-2*j + 2*j - 3*j).\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/46 in -1\/4, 3, -0.1, 2, 7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**4 + 213*c**3 + 813*c**2 + 603*c.\nAnswer: 3*c*(c + 1)*(c + 3)*(c + 67)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 35?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*o - 1446*s - 13 = -1451*s, 2*o - 5 = -s for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 268 = 4*f - 4*o, 4*f + o + 4*o = 223. Suppose -f = -3*w + 5*k, w + 4*k = -0*k - 2. Let b = -9 + w. Solve -2*x + 3*z - 2 + 4 = 0, -x + b*z = -15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28873064 is divided by 925?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2823998*x**2 + 21875*x + 174 wrt x.\nAnswer: -5647996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of l**4\/8 + 108*l**2. Let z(g) = -16*g - 1. Determine z(x(i)).\nAnswer: -48*i - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a\/(a*a**18))*a**(-14))**(-13\/2) assuming a is positive.\nAnswer: a**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + r - 76 - 12 = 0, d + 5*r = 44. Let b(p) = -3*p - 1. What is the remainder when d is divided by b(-8)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27957 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.001 in -3, -2, 4, -4\/669, 2?\nAnswer: -4\/669","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*b**3 - 338*b**2 + 168*b**2 + 170*b**2.\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/5*5\/12.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 53420 and 13996040?\nAnswer: 13996040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**4\/2 + 4*u**3 + 43*u**2\/2 + 29*u + 12 = 0.\nAnswer: -2, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18905 is divided by 1133?\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 1\/3*g - 1\/3*g**2 + 1\/3*g**4 + 0 - 1\/3*g**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -476 - 1424 = -10*m. Let v = 227 + -179. What is the remainder when m is divided by v?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13331 + -239867\/18. What is the common denominator of j and 82*(26\/(-24) + 1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39191865 to the nearest integer?\nAnswer: 6260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 299939, 599880, 899821, 1199762, 1499703?\n\"Answer: 299941*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s**2 + 2. Let v(g) = -16*g**2 - g - 11. Suppose 98*h - 42 = 96*h. Suppose -3*c + h = 3*a, 0 = -2*a - a + 3*c + 45. Calculate a*i(o) + 2*v(o).\nAnswer: o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2 times 29.3708?\nAnswer: -35.24496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**2. Let v = -7 + 9. Let n(j) = 0*j**2 - 3*j**v + 1 - j**2 + 5*j**2. Let i(g) = -2*k(g) - 3*n(g). What is the derivative of i(u) wrt u?\nAnswer: 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 385 and 96415.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25728 and 77988?\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -129\/1725880 and -163\/12480.\nAnswer: 41421120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5\/4 (b) 0.5 (c) -8.4 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-61)\/9 - (-4)\/(-18). Let y = g + 15. Calculate the greatest common factor of 1 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yys when three letters picked without replacement from yssssysyysvsyysyyys?\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 1101*n + 13. Is p(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 176*r + 35857. What is h(-201)?\nAnswer: 481","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllllllllilllll. What is prob of sequence li?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1508)\/(-36) + 122\/1098?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -109562, -438156, -985794, -1752482, -2738226, -3943032, -5366906, -7009854?\nAnswer: -8871882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - 12*c + 1. Suppose -3*x - 27 = -2*f, -4*x = -3*f + 4*f + 3. Determine b(f).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 9 - 102*v + 103*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -6, -16, -30, -48, -70?\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91121051?\nAnswer: 7, 13017293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 19157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 15, 0 = i + 17*g - 18*g - 500. Let n = 507 - i. Which is the biggest value? (a) 2 (b) 0 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a meter in micrometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (66\/318)\/((-671)\/(-122))?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t = 18*t - 128. Suppose 0 = 2*p - 16*j + 14*j - 152, 4*p - 296 = -t*j. What is the highest common factor of p and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a millimeter in micrometers?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 221306 and 272?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6.41793 or 1\/112?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**2\/(d*d\/((d*d*d\/((((d*d*d*d*d**0*d*d)\/d)\/d)\/d))\/d)*d))**(16\/3))**(-46) assuming d is positive.\nAnswer: d**(1472\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 50137 or 50142?\nAnswer: 50142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/909 - -5461\/6363. Let c(i) = -i - 3. Let d be c(-5). Which is smaller: t or d?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3362.2418 from 0.4.\nAnswer: -3361.8418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1024783824?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2477*q - 260 = 2412*q. Solve -2*p + 2*d = 12, -d + q = -0*p + p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24260 - -134099. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 64653aa7 - 4?\nAnswer: 64653aa3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ygk when three letters picked without replacement from {k: 1, m: 2, g: 1, y: 1, u: 1, s: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - -1)*(2 - (-21)\/(-6)). Put l, -4, 38 in descending order.\nAnswer: 38, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95\/(-19)*2205\/(-2100)?\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*4\/(-14)*7\/(-12)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 281700\/2880 - (-55 + 153)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 g when four letters picked without replacement from {g: 7, n: 12}?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32269003?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 441203 (base 6) to base 5.\nAnswer: 2132304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 57*k - 427. What is the lowest common multiple of x(64) and 1224?\nAnswer: 8568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k. Let r(z) = -139601*z. What is r(x(i))?\nAnswer: 279202*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13715 is divided by 305?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 900*g + 1104*g - 349*g - g + 83. Is a(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**2\/19 - 491328592*a\/19 - 30175473164587808\/19 = 0.\nAnswer: -122832148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.5 - 10.5. Let r = -12.56 - c. What is r rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*k = 23*k - 11070. What is the greatest common factor of 432 and k?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/10 + (-33)\/66)*40\/12. Which is the third smallest value? (a) 11\/12 (b) 0 (c) m (d) 0.1 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 26 = 66. Let q = z - 5. Suppose 1 = -q*c + 4*c + 4*p, 0 = 3*p + 3. Solve 4*x + 0*i = i + 9, i + c = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1180520430 divided by -236104086?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.04*1.821\nAnswer: 0.07284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1628 and 4074884?\nAnswer: 1628","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a centimeter in millimeters?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = a + 1. Suppose 4*z + 2*n = -a, -4*z + 3*n - 20 = -n. Let c = z - -7. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 1:07 AM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -247329*z + 3187 + 243144*z + 589 wrt z?\nAnswer: -4185","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 2. Is 2\/4 + 175\/u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 698 - 694. Let g(w) be the second derivative of 11\/20*w**5 - n*w + 0 + 0*w**3 - 9\/2*w**2 + 0*w**4. Find the first derivative of g(s) wrt s.\nAnswer: 33*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 20675544 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2285050149?\nAnswer: 3, 84631487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 7*c**2 + 13*c + 1. Let x = 51 + -43. List the prime factors of l(x).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 117*o**2 - 2*o + 2. Determine v(1).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(-15)*((-660)\/8)\/(-33)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 206 + -114. Let l = -27 - -30. Suppose p = -2*d + l*d. What is d rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 161 + -160. Let x = -1.33 + 7.23. Let d = -0.9 + x. Which is the third biggest value? (a) n (b) d (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (36\/(-30))\/((-6)\/20). Suppose a*n - 80 = -4*n. What is the smallest common multiple of n and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*w + 615 + 153. Let y = w - -64. Let z(t) = -t**2 - t + 11. Give z(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(130) - sqrt(130))\/sqrt(10) + -4)**2 - ((sqrt(1573) - sqrt(1573)*2) + 1)**2) + -2.\nAnswer: -1547 + 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of -s**8\/840 - 16*s**7\/525 + 4*s**6\/15 - 8*s**5\/75 - 76*s**4\/15 + 64*s**3\/3 + 462*s**2 + s. Solve r(g) = 0.\nAnswer: -20, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/3, -41, 5?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/4 + -5 - 117\/42*-1. Which is the fourth smallest value? (a) 1\/19 (b) -2\/3 (c) 2 (d) v (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**13)**(-18\/5)*c**(5\/14)\/c*c\/c**(-8\/3) assuming c is positive.\nAnswer: c**(-9193\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 242*r**2 - 673*r**2 + 20*r**2 to the form s*r + q + z*r**2 and give z.\nAnswer: -411","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5, -13, -49, -109, -199, -325, -493, -709?\n\"Answer: -o**3 - 3*o**2 - 2*o + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*q - 7*q + 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/13)\/o*o**(-1\/3)\/o*((o*o**(-5\/3))\/o)\/(o*o**(-7)) assuming o is positive.\nAnswer: o**(28\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -11*l - 32*l**3 + 33*l**3 + 4*l**2 - 3 + 2*l. Determine f(-6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 28120\/4810 + -7 + 1. Suppose m - 24 = -19. Which is the closest to 0.9? (a) 3 (b) m (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j + 1 + 0 - 2*j. Let u = 3 + -3. Let z = -3 + u. What is y(z)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4c65c (base 16) in base 5?\nAnswer: -40003144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 10*d + 2235. Let l = 140 + d. Which is greater: -3 or l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 341801002 to the nearest integer?\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a kilogram in milligrams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 40395984 divided by 1418\nAnswer: 28488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2791933663?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 4*j + 7. Let p be l(6). Let r be (-3)\/12 + p\/(-4). Let z = -1160 + 1162. What is the nearest to r in 2\/13, -0.3, z?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32666*b - 352 = 32634*b for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 0.8463\nAnswer: -0.8463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o - 24*o - 48 + 2*o**4 + 22*o - o**2 + 200 in the form v*o**3 + j*o + z*o**2 + k + q*o**4 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 641930617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 34977.201548 plus 2854?\nAnswer: 37831.201548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -25576732 and 0?\nAnswer: 25576732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 4*o**2 + 13*o + 3. Let m(i) = 5*i**2 + 14*i + 4. Let k(f) = -3*m(f) + 4*q(f). Is k(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, 11, 56, 139, 272, 467?\nAnswer: 736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 610196?\nAnswer: 2, 79, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88360 and 2017334.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1018428 times 7.7\nAnswer: -7841895.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/(-6840)*24 - (0 + 634\/(-30)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 2:44 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of k**7\/5040 - k**5\/15 - 4*k**2. Let c(y) be the third derivative of h(y). Give c(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1102111021221 - -1021?\nAnswer: 1102111100012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 26019?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 + 6. What is the remainder when f is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -3*l**5\/8 - 411*l**4\/8 - 11505*l**3\/8 - 40797*l**2\/8 - 7425*l\/2 = 0.\nAnswer: -100, -33, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 2:11 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 6. Suppose 2*m - 4*h - 12 = a, -2*h = 2*h + 12. Let x = 1\/12 + -3\/4. Which is greater: m or x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 7:51 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/6*(2 - -4). Suppose i*h = -p + 33, 2 - 35 = -p + h. Is 11 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 3*w = -4, 2 = 9*c - 5*c - w for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f + 4*v + 16, -18439*v + 4 = 4*f - 18440*v for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1845*r - 3665*r + 1832*r.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) -1\/4 (b) -3 (c) -7\/4 (d) 3 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 21\/5, -3\/148, -21184?\nAnswer: -21184","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98982834 is divided by 935.\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -4 (b) -3 (c) 3 (d) -279\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 867 by -3.\nAnswer: -289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*n**2 + 6*n**2 - 5 - 14*n**2 + 2*n**3 + (2*n + 2*n + 0*n)*(3*n**2 - 4*n**2 + 0*n**2) + 0*n**3 + 3*n**3 - 5*n**3.\nAnswer: -4*n**3 - n**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 81 by 3.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -179 + 3?\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r - 6. Let l(k) = -1. Let t(b) = -h(b) + 5*l(b). Let c be t(0). Is 87 + 2 + (1 - c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -245 divided by 7816\nAnswer: -245\/7816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1*b)**(-13)\/((b**(2\/5)*b)\/b**(1\/2))*(b**(-1)\/b**(-3))\/(((b\/b**(-3\/5))\/b)\/b**(2\/5)) assuming b is positive.\nAnswer: b**(-251\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -8504 (base 9) in base 4?\nAnswer: -1201201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of -1\/24*a**4 - 3*a**2 - 1\/180*a**5 + 0 - 1\/9*a**3 + 0*a. Factor g(j).\nAnswer: -(j + 1)*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1374615.5 and 3198.\nAnswer: -1371417.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -3*o + 12, -4*m - 17 = -3*o - 5 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1110010010011010 (base 2) to base 12\nAnswer: 29a4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-206)\/(-3090))\/(2\/50)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2 - 760204*w + 5321232.\nAnswer: 4*(w - 190044)*(w - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -182*a**2 + 9*a - 1. Let s be x(6). Suppose -2*k = w + 8450 + 55039, -190502 = 3*w - k. Let h = s - w. What is h rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*b = 81, -2 = -2*b + 2. Let w(t) = -3*t**2 - 6. Let h be ((-2)\/(-5))\/((-10)\/(-150)). Let c(u) = u**2 + 2. Give h*w(m) + o*c(m).\nAnswer: -m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - c + o + 340, 3*o + 170 = -2*c. Let p = 90 + c. Suppose -t - 15 = -5*l - 2*t, p*t + 25 = 0. Solve l*m + 8 = -12 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 12*p**2 - 139*p - 135. Calculate the smallest common multiple of 498 and k(-1).\nAnswer: 3984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295 is divided by 54?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - -9. Calculate the remainder when y is divided by 12 + ((0\/(-5))\/1)\/1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 325382671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7596*f**2 + 393*f.\nAnswer: -15192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -11*n + 34*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f - 3. Determine n(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*z - 8 = 20*z - 3*n, n = -26*z - 104 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10.5 + -13. Let y = 0.1 + -0.6. Let p = t - y. Which is the third biggest value? (a) -1\/8 (b) 1\/4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116311805 is divided by 342.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 194809161044.69 plus 2?\nAnswer: 194809161046.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**6\/z*z**3)\/(z**(-1\/4)\/(z**(-1)*z)) assuming z is positive.\nAnswer: z**(37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5*t = 51, -2*p + 24 = -4*t - 14. Suppose 2*u + 3 = d + 4*u, -2*d + 3*u - 1 = 0. Solve 2*m - d = p for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 4*n - n + 59, 5*j + 5*n = 275. What are the prime factors of j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3 or 106.78?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 12*a**2 + a + 1. Let r(m) = 3*m**2. Determine -2*f(g) + 9*r(g).\nAnswer: 3*g**2 - 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 178926 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 85759564 to the power of 1\/3, to the nearest integer?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 j, 1 f, and 1 e when four letters picked without replacement from jeegjreeeeagaejef?\nAnswer: 12\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 95377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30778773.\nAnswer: 3, 29, 281, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 3*r - 11 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of f**5\/12 - 25*f**4\/24 - 5*f**3 + 9*f**2 - 1. Factor w(q).\nAnswer: 5*(q - 6)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24 times 3?\nAnswer: 0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 267629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -203*b**3*g**3 + 2*b**2*g**3 + 30*g**2 wrt b?\nAnswer: -1218*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 14166, 28221, 42276?\n\"Answer: 14055*b + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-4 + 3 + 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2138093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 14 = 38. Suppose 200*o + 4300 = 14700. Calculate the highest common factor of o and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c**2\/7 + 772872*c\/7 - 3091552\/7 = 0.\nAnswer: -193222, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4 = j. Suppose -j*t = 5*l - 6*t - 1, -2*l = t + 10. List the prime factors of (0 - (l + 2)) + 17.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + 2*sqrt(171)*2)**2*2 + (-4*sqrt(475) - (-1 + sqrt(1539))).\nAnswer: -29*sqrt(19) + 8551","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 + 0 = 763*g + 2 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a century in months?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*o + 64 = -32 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 42 + 5)*(2*h - 1 + 1)*(-1 - 4 - 5)*((0 - 3 + 5)*(0 - 4 + 2) - 4 + 1 + 1 + (-3 + 0 + 2)*(-3 + 7 - 2)).\nAnswer: -5120*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -261 - -871. Is t a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60573 is divided by 391.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.862904kg to milligrams.\nAnswer: 9862904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gmmtqtqqdqtmm. Give prob of picking 1 t and 3 q.\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5966861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 + 42 - 15 - 5*s + 31 - 12 - 19.\nAnswer: -5*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 409309899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-5\/4)*f)\/(f\/(f**9*f*f)*f))**(-25) assuming f is positive.\nAnswer: f**(-875\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 4:40 PM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 31 - 1522 = 0. Calculate the remainder when b is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10 and -227035.\nAnswer: 2270350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*w - 5*n = -147*w + 27, -w - 3*n = 15 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*m**3 - 57*m**3 - 55*m**3.\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 37, -2, 1, 4, 93 in ascending order.\nAnswer: -12, -2, 1, 4, 37, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 1, -1\/2, -18, 2\/41?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49838417?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 - 4. Let h(i) = -12*i + 16 - l. Let t(z) = 2*z. Calculate t(h(m)).\nAnswer: -24*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -83*f**2 - 18*f - 9. Let x(u) = -37*u**2 - 8*u - 4. Let g(c) = -8*m(c) + 18*x(c). Let o(q) = 533*q. Calculate o(g(i)).\nAnswer: -1066*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1781885*p**6 + 1764969*p**2.\nAnswer: -213826200*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkx when three letters picked without replacement from {a: 4, x: 1, o: 1, k: 11}.\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 - 11. Let q(t) = t - 7. Let w(s) = s - 5*s + 50 - 23. Let g(p) = 22*q(p) + 6*w(p). Determine g(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 198 = 62. Is 35 at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 192 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 43*q**2 + 2 - 21*q**2 - 23*q**2 - 4*q. Give m(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.26 and -237.\nAnswer: -61.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 2.5, 5\/3, -43, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 o when four letters picked without replacement from {o: 5, i: 13}.\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-111)\/(-2035))\/(42\/(-1120)*4)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4502*k*o**3 + 3*o**3 + 755*o - 2 wrt k.\nAnswer: -4502*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104101?\nAnswer: 19, 5479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 3*r = -5*r - 19, 3*p = r - 13. Let j(b) = -b**2 - 11*b - 26. Let g be j(p). Solve -4*i + a = -2*i + g, -5*a - 4 = -2*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 204551584 to the nearest integer?\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(4500) + (sqrt(4500) - sqrt(4500)*3) + 2)**2.\nAnswer: 60*sqrt(5) + 4501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -10*h**2 + 16*h - 11. Let w be -2 + 5 + -3 + -2. Let v(u) = -2*u**2 + 3*u - 2. Let j = 31 + -20. Give j*v(i) + w*p(i).\nAnswer: -2*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-7 + 3 + -3)) + -13.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -14. Let q(t) = 7*t**2 - t - 9. What is the remainder when q(-3) is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.20303 plus 30100989477?\nAnswer: 30100989477.20303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/7368 and 19\/2696688.\nAnswer: 2696688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*p + 0*p - 2*p)*(-2 - 3 + 3 + (-2 - 1 + 2)*(-5 + 0 + 3) + 0 - 1 - 1 + 0 + 2 - 1).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/126)\/(9\/12)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 836 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 - 40. What is the nearest to 0.31 in -4, r, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-6) + (-17)\/3. Let d(v) = -v**2 - 8*v. Let f be d(t). Suppose -3*q + f = 0, -2*y + 29 = y + 5*q. Solve 25 = -2*g - y*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1916 - 1906. What is the remainder when 487 is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l + 2*l - 2*l + (0*l + 0*l + l)*(1 + 0 - 3) + 2*l + 2*l - 2*l + (1 - 1 - 2*l)*(-1 + 2 + 1) + 0*l + 0*l + l.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8320886 to the power of 1\/3, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37711*g**3 + g**2 - g - 10697.\nAnswer: 226266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, -3, 0.3, -0.34.\nAnswer: -3, -0.34, 0.03, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s**3 + 8*s**3 - 16*s**3 + 10*s**3.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -4 + 12 + (2 - -9)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -858*h + 10. Calculate the remainder when r(-2) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14634 divided by 2?\nAnswer: 7317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 2162233.5 to the nearest 10000.\nAnswer: 2160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5*p - 12 = 0. Let g be -38*3\/18*p. Calculate the highest common divisor of g and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of 1361*r**4\/12 - r**3\/6 - r**2\/2 + 16*r. Is w(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 25*x**2 - 28*x + 26. Determine j(26).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 12782, -47, 0 in ascending order.\nAnswer: -47, 0, 5, 12782","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45))**2*-3 + sqrt(5) + 1*sqrt(5)*-4 + -5.\nAnswer: -140 - 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3)\/p**3*(p*p*p*p*p**(-8)*p*p)**(10\/3))**(-22\/5) assuming p is positive.\nAnswer: p**(836\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**15*i\/i**(-13))\/((i\/(i\/i**(2\/19))*i)\/(i\/i**(-17))))**(-21\/2) assuming i is positive.\nAnswer: i**(-6741\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3268 and 364.\nAnswer: 297388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -215 + 235. Let f(g) = g**3 + 2*g**2 - g. Let a be f(-2). What is the least common multiple of 4\/8 - (-31)\/a and b?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 5:29 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 139886002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((30\/6)\/((-50)\/(-12)))*-1.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zut when three letters picked without replacement from uyuhtzyyty?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15503875 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3*u = u - 60, 0 = -2*i + 3*u + 58. Calculate the remainder when 124 is divided by i.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2304 by 22.\nAnswer: 1152\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v - 5*v + 18*v + 12*v.\nAnswer: 31*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 31. Let y(v) = v**2 - 2*v + 3. Let c(x) = -210*x + 55*x + 64*x + 54*x + 2*x**2 + 48*x - 8*x**2 - 16. Determine i*y(q) - 4*c(q).\nAnswer: 2*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*o**2*q + 14*o**2*t*v - 2*o**2*v - 3*o*q*t - q*v - 2*q - 6 wrt q.\nAnswer: -15*o**2 - 3*o*t - v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of 0*c + 3\/40*c**6 + 0*c**3 - 47*c**2 - 19\/30*c**5 + 0*c**4 + 0. What is the third derivative of x(z) wrt z?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34370464 by -368.\nAnswer: -93398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - s**2 + 36. Let x be i(0). Let m = 9 - x. What is the common denominator of 44\/7 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6 + -4)*2\/2. Suppose -41 = -3*v + w*k, -20 + 8 = -v - k. Calculate the remainder when v is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 5*i**3 - 4*i**2 - 19. Let y(d) = d**2 + 2. Calculate p(g) + 4*y(g).\nAnswer: 5*g**3 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 38 in -41\/3, -3, -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 108\/(-8)*4\/(-6). Let q = -5 + i. Suppose -4*o = -12 - 0. Solve 26 = -b + 3*b - q*a, o*b + 16 = -5*a for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 z when two letters picked without replacement from mmmmmzzmmzm.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 3 + 9 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**4 - g**3 + g**2 + g + 1. Let b(o) = 26*o**4 - 3*o**3 + 3*o**2 + 36*o + 3. Let h(z) = -b(z) + 3*n(z). What is the second derivative of h(d) wrt d?\nAnswer: -276*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -112*z + 8. Is k(-12) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 x when four letters picked without replacement from ccrcrrcccrccxcccrc.\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 920127.4 millennia in years?\nAnswer: 920127400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 4*o**2 + 9 - 3 - 30*o + 6*o. Let y be u(7). Suppose -3*p - 47 = 2*j - 6*j, y = 3*j - p. Calculate the remainder when 19 is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g + 13 + 11 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3168, 12967, 29306, 52191, 81628, 117623, 160182?\n\"Answer: i**3 + 3264*i**2 - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 125 + 150 = -3*u, -2*u + r = -9 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**8*g*g**0*g*g**(3\/5)*g\/g**(-2\/13)*g)**41)**27 assuming g is positive.\nAnswer: g**(989658\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - z**2 + 62*z - 21. Suppose -o - 612 = -5*m - 193, 0 = -4*m - 3*o + 320. Calculate the remainder when m is divided by u(7).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.05 + -2.95. What is the third biggest value in 3\/5, x, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.6688m to millimeters.\nAnswer: 47668.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t + 7*t - 6*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -22ac - 2?\nAnswer: -22b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192*v**3 + 91*v**3 - 373*v**3 + 91*v**3.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -18*k + 5. Let u(f) = 19*f - 18. Let v(c) = -38*c + 32. Let q(h) = -5*u(h) - 3*v(h). What is -6*o(m) - 5*q(m)?\nAnswer: 13*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -33 - 2*n**2 - 14*n**3 + 33 - 10*n**5 - 22*n**4 = 0.\nAnswer: -1, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 12*y**2 + 21*y - 8. Let n be l(10). Solve 4*h = 2*h + n for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.8 - 7.2. Is -2 at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 12891?\nAnswer: 90237","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**1*b*b*b*(b**(-4)*b*b)\/b*b*b*b**1\/(((b**8\/b)\/b)\/b*b))\/(((b\/b**(-2\/5)*b)\/b)**(-31)\/(b\/b**(1\/9)*b**(1\/4))) assuming b is positive.\nAnswer: b**(8017\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/22 + -970*(-9)\/15840?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - -33. Suppose 43 - o = f. Suppose -4*g + 32 = -0*g - 4*z, f*z = -5*g - 10. Let c(i) = i**2 - 2*i - 4. Calculate c(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1*(3 + -1))\/(6\/(-27)). Let x be (-12)\/(-24) + i\/(-2). Let t = -3 + 3.2. What is the closest to -2 in x, 1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 8:48 PM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**0)**33*(y**(1\/4))**(-20\/11)*(y**(-1))**(-3\/16)*((y**(-2\/3)\/y*y)\/y)**(-24) assuming y is positive.\nAnswer: y**(12801\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 2\/3, 587?\nAnswer: 587","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2360*f**2 - 6770*f**2 + 2335*f**2 + 2298*f**2.\nAnswer: 223*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4089\/(-31349) + (-25)\/161?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 190 and ((-8 - -17) + -7)*(-3325)\/(-14)?\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 55 = 5. Suppose 5384 = n*m + 1304. List the prime factors of m.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(50)\/(sqrt(40)*-5) - ((sqrt(180)\/sqrt(4) - sqrt(45)) + -5))**2.\nAnswer: -1503\/20 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a - 37 + 45 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-12) + 137\/42. Let w = j - 20\/7. Let a be 1\/((-8)\/(-12) - 1). Put w, 4, a in increasing order.\nAnswer: a, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 4:08 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 2:11 AM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 114400 by -260.\nAnswer: -440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = c + 2*c. Let d be (-38)\/3*(-420)\/(-8). Let w be d\/(-175) + 2\/10. Solve -f + w*f + c = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 4*x**4 - 3244*x**3 - 63032*x**2 - 40272*x + 358560 = 0.\nAnswer: -18, -3, 2, 830","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.8 + 0.3. Let a be ((-24)\/64*-4)\/(-3 + 2). Sort 0.2, -2, z, a.\nAnswer: -2, a, z, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -7, -4, 3, 14?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 432061 to the power of 1\/2, to the nearest integer?\nAnswer: 657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -68959377 divided by 1593?\nAnswer: -43289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, x: 6, g: 3, p: 4, a: 1}. Give prob of picking 3 h.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*q + 331 - 331 to the form k + z*q and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 3:04 PM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(3\/73))\/((-10)\/60). Let f = a + 153. Is f smaller than 41\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12462.92267 + -12463. Round i to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/(-1944)*-24*180*(-12)\/20?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -354*p = -1042*p + 25898 - 2506 for p.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - 2*y + 1. Let i be q(4). Let r = 26695 - 26695. What is the third smallest value in -1, r, i, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -23*i**3 + i**2 - 7*i - 8. Let n(a) = -35*a**3 + 2*a**2 - 11*a - 12. Let x(g) = 5*n(g) - 8*w(g). What are the prime factors of x(2)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -294*w - 1 - 3 + 9 - 195*w - 11 in the form n + q*w and give q.\nAnswer: -489","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46794 is divided by 1269?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - -7 - (-1 + 3). Let g(z) = z + 17. Let y be g(-17). Let s = 2 - 2. What is the closest to y in -0.2, s, m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115 = 2*j + 105 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p - 4 + 2*p + 3)*(-4 - 1 + 3)*(7*p - 255 - 8*p + 102).\nAnswer: -2*p**2 - 308*p - 306","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-189)\/28)\/9 + 7\/4. What is the remainder when 69 is divided by x\/(-3) + (-219)\/(-9)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 1. Let q(l) = 9*l - 10. Let b(h) = -8*h + 10. Let i be -6*8\/12 + 1. Let f(a) = i*q(a) - 4*b(a). Calculate f(z) + 10*k(z).\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 13) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 224559 != 224558?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 660476?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -75 + 15. Let b be (16\/w)\/(2\/24). Solve -2*g + 3*f = -2, -4*f = -0*g + 2*g - b for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 1988*c**3 - 7*c**2 + 18*c - 19. Let o be u(-9). What is o rounded to the nearest one hundred thousand?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -1. Is (-193)\/(-4) - x\/(-4) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552868 to the power of 1\/2, to the nearest integer?\nAnswer: 744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1180229*a**3*m - 2*a**3 - a*m - 79986*a + 11*m wrt a?\nAnswer: -7081374*a*m - 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 333\/(-23) + -1 + 1. Let n = 458772635\/207 - 2216272. Let y = l + n. What is the common denominator of y and -39\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 529 - -0.0622\nAnswer: 529.0622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-42)\/49)\/((-24)\/7 + 3). Let d(h) be the third derivative of 1\/120*h**6 - 1\/3*h**3 + 1\/15*h**5 + 1\/24*h**4 + 0 + 0*h + r*h**2. Determine d(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 252556805 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 59 + -59.37. Let b = d - -0.27. Suppose -23 - 7 = -5*o. Which is smaller: o or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 14, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -7 - (2 + -9) - 163. Let t = 195 - g. Does 22 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -765*d**3 + 68*d**2 - 4250. Let f(o) = 51*o**2 - 3*o. Calculate 136*f(p) + 3*n(p).\nAnswer: 51*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + 153*d + 607. Let t(y) = -155*y - 608. Let k(w) = 2*s(w) + 3*t(w). Differentiate k(a) wrt a.\nAnswer: -4*a - 159","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + z. Let t(a) = -15*a**3 - 6*a**2 - 6*a. Let s(i) = -i**3 + 25*i**2 - 9*i - 354. Let n be s(24). Determine n*m(v) + t(v).\nAnswer: -15*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8904 and 5208?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 13210 (base 4) to base 15\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -626, -638, -660, -692, -734, -786, -848?\n\"Answer: -5*j**2 + 3*j - 624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*d + 80*d - 265 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 11*j**2 - 10*j + 2. Let x be f(10). Let k be (-8)\/4*14\/(-12). Do k and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 353 a factor of 586691239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 125*n**2 + 1840*n - 20869. Calculate u(110).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 + 5*k**2 + k**2)*(-4 - 1 + 6)*(0*k + 2*k + 2*k)*(-1 - 5 + 4) + k**3 + 0*k**3 + 3*k**3.\nAnswer: -44*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 11, u: 3, x: 2, l: 3}. Give prob of picking 1 n and 1 x.\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + 3. Let g = z - 8. Let n be 2\/(2\/g - 1). Let r(f) = -f - 4. What is r(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -560*d - 44 = -556*d for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 11*a**2 - 7*a + 15. Let h be k(6). Let q = h - 84. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -274, -2.089, 5\/4?\nAnswer: -2.089","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -836*r + 163*r - 30*r - 591*r.\nAnswer: -1294*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1\/y)\/(y*y**(-12)) assuming y is positive.\nAnswer: y**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 1:11 AM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4791 + 4796. Solve -20 = 8*p - 4*p - f*l, 0 = 5*l for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 5*y**2 - 6*y + 8. Let p be m(9). Suppose 0 = 5*v + p + 477. Let f = -6 - v. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -9 and 0.14469 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101022000110010 (base 3) to base 7.\nAnswer: 64340640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, u: 1, i: 2, v: 8, q: 1, m: 2}. What is prob of sequence qmin?\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) + (sqrt(104) - (sqrt(104) + (sqrt(104) - (sqrt(104) - 1*sqrt(104))) + sqrt(104))*-1))\/(sqrt(8)*3*-3))**2.\nAnswer: 325\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 941*w**2 - 949*w wrt w?\nAnswer: 1882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in -61, 8, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 10:38 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6\/25 (b) -2 (c) 40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 1:27 PM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zmmmmmmzm. Give prob of picking 2 z.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g\/g**(3\/11)*g))*g*g**11)\/(g**0\/(g\/(((g\/g**(-4\/7))\/g)\/g)*g)))**(4\/5) assuming g is positive.\nAnswer: g**(4976\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 2, 23 = -2*j + 3*j - 5*f. Let m(x) = j*x - 21 + 14 + 26*x. What is the tens digit of m(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4736187 and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2785595 - 2785353.9917. Let v = -241 + g. What is v rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/n**15*n*n\/(((n\/(n*n**(-5\/4)))\/n)\/n))\/(n**(-2\/43))**(-49))**(3\/10) assuming n is positive.\nAnswer: n**(-1293\/344)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -14*s + 685. What is k(49)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -646 - 1113?\nAnswer: -1760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*t - 192 = 0. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -5*j. Let c(s) be the third derivative of s**4\/6 + 3*s**2. Determine l(c(d)).\nAnswer: -20*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of 7*c**2\/2 + 6*c - 11. Does 15 divide n(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -451026 by -6.\nAnswer: 75171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15*2*3\/(-15). Suppose 3*r + 1 + 17 = 5*u, 0 = 2*u - r - 7. Is 28\/u - 4\/g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2323244682 less than 0.4?\nAnswer: -2323244681.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07597 minus 0.02?\nAnswer: 0.05597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3\/4 - 2457*k**2\/2 - 9819*k\/4 - 1227.\nAnswer: -3*(k + 1)**2*(k + 1636)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-37)*w*((w\/(w**(-23\/5)\/w))\/w)\/w assuming w is positive.\nAnswer: w**(-157\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-3)*(-12)\/(-8). Suppose z*h - 5*k = 9, k - 3*k - 2 = 0. Suppose 0 = 6*i - h*i - 32. Is 8 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.530168 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/92625 and 53\/10.\nAnswer: 185250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*(x*x**9)\/x*x\/x**(-5)*x)**(2\/27))**(-1\/3))**(-23\/4) assuming x is positive.\nAnswer: x**(391\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 5 + 38*o - 36*o - 7*o**2 - 2 - 8*o**3 in the form g*o + v*o**2 + i + m*o**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-108)\/(-8))\/3 + (1267841\/(-299222) - (-27)\/(-99))\nAnswer: -2\/203","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9839083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/2))**(-9\/5)\/(b\/(b**(-1\/4)\/b))**11 assuming b is positive.\nAnswer: b**(-513\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c**3 + 40*c**2 + 103*c + 33. What is r(-17)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -565951553801 + -0.9?\nAnswer: -565951553801.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 17*p + p**2 + 18*p + 39 - 24*p - 16. Let b be i(-8). Let m be (-2 - (-3 - b))\/2. Solve v + 1 = -m for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 551 = -281. Suppose 0 = -12*a + 18 - g. Is -2 greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47 (base 11) to base 7\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -2*v + 5*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -5*h**3 - 2*h**2 + h. Let q(k) = -k**3 + 2*k**2 + 4*k - 2. Let v be q(3). Let o be d(v). Let b(a) = a + 8. Determine b(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.037658 and 0.07.\nAnswer: 0.032342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11083292 or -11083291?\nAnswer: -11083292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 466*b**3*x**3 + 7*b**3*x - b*x + 33385*x**3 wrt b.\nAnswer: 2796*b*x**3 + 42*b*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2833010039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1*sqrt(50)*-1)\/(-2*-3*sqrt(10)).\nAnswer: -2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 87*n**2 - 51*n**2 - 80*n**2 + (2 + n**2 - 2)*(16 + 11 - 6) + n**2 + 2*n - 2*n to q + o*n**2 + v*n and give o.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001465307744 rounded to 7 dps?\nAnswer: -0.0001465","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -33*s**3 + s**2. Is 6 a factor of i(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.548073 micrometers to millimeters.\nAnswer: 0.000548073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285*b = -5*d + 288*b + 13, 1 = -b for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - 12. Let q(c) = -c**3 + 9*c**2 + c - 3. Let k be q(x). Let u(p) = -p**2 + 5*p + 8. Let j be u(k). Solve -t = -j + 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -33, -31, -27, -21, -13, -3, 9?\n\"Answer: h**2 - h - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7821625876?\nAnswer: 2, 941, 2078009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1118 and 101556?\nAnswer: 4366908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 627526 is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -4*j + 8 + 6, -3*j = -4*w - 23. Let s(t) = 3*t + 1. Let l be s(1). Solve h + 3*x = -14, 5*x + 24 - l = -j*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3, -28, -115, -300, -619, -1108, -1803, -2740?\n\"Answer: -6*m**3 + 5*m**2 + 2*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -96226, -95978, -95730, -95482?\n\"Answer: 248*j - 96474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 5*z - 2. Let f be v(-6). Suppose f*w - m = 2*m + 14, 0 = 5*w - 3*m - 16. Let l(x) = 9*x**2 + 2*x - 1. List the prime factors of l(w).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/18 and 26\/6039.\nAnswer: 12078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 89969 times -956?\nAnswer: -86010364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + b + 2. Let w be i(0). Suppose w*t = 4*t + 2. List the prime factors of 4\/(12\/9) - t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.24486 + -126.71486. Let a = -127 - i. Let y = -0.13 - a. What is the closest to 1 in y, -5, -1\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-156)\/(-8)*29 - -4)*2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 184 + -182. Suppose 5*l + 5*b = -10, 0 = -5*l + 3*b - 5*b - 4. Suppose p + 0*p - 3*j - 6 = l, 4*p + 5*j = 41. Solve -m + p = g*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + l - l + 5*l - l + 3*l + 0 + l + 0 + (0 + 2*l + 0)*(0 - 2 + 1) - 59*l - 104*l + 42*l)*(2*l**2 + 2*l**2 - 5*l**2).\nAnswer: 113*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of w - 14 - 23\/2*w**4 - 1\/3*w**3 + 301\/2*w**2. What is the first derivative of a(j) wrt j?\nAnswer: -276*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 4*c + 12 - 28, -4*c + 16 = 3*u. Let s be u\/(2*(-3)\/2). Suppose 3*d + s - 6 = 0. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33238570*v**3 + 1029928*v**2 - 7*v - 1.\nAnswer: 199431420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 352 is divided by 46.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - y + 7 = 0, 4*x + 34 = -2*y + 36 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3 + 1 = 0. Which is smaller: 3 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4080 - 40857\/10. Find the common denominator of l and 14\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 72368 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -67255 * -0.3.\nAnswer: 20176.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 532, -1062 in decreasing order.\nAnswer: 532, -3, -1062","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.6 - -31.6. Let o = -24 + f. What is the nearest to -4 in 0.3, -4, o?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 2 = -f, 5*f - 3*p - 23 = 39 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 601359+0.03\nAnswer: 601359.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 2394 to the nearest one hundred.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 12 = 4*r + 4, -6 = -2*g + 5*r for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 33*d**2 - 6*d - 198. Suppose 246*o = -2214 - 5904. Give t(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, 160, 380, 600?\nAnswer: 820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -14696*r**2 + 3873 - 1935 - 1938 + 304*r**2 in the form z*r + p + u*r**2 and give u.\nAnswer: -14392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7925 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -208352 divided by 6511.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24903, 9, 5, 0, -3.\nAnswer: -3, 0, 5, 9, 24903","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 4*w**2 - 15*w + 20. Let r(o) = -5*o**2 + 15*o - 21. Let y(p) = -4*l(p) - 3*r(p). Is 3 a factor of y(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1926)\/642*(-10*(-2)\/(-2))\/2\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**2 - 13*j + 13*j.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3 + 516*h**2 + 14688*h - 129472.\nAnswer: 4*(h - 7)*(h + 68)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, i: 2, n: 4, o: 1}. Give prob of picking 1 o, 1 e, and 1 n.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u + 3. Let k be c(-3). Let o = k + 19. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**3 + 414*l**2 + 6885*l = 0. What is l?\nAnswer: -15, 0, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-72655)\/(-10))\/11*2. Let j(r) = -b + 1321 - r. Let z(k) = 11*k**2 + 5*k - 5. Let t(u) = -6*u**2 - 3*u + 3. Let c(v) = 5*t(v) + 3*z(v). Give j(c(o)).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 11*z - 94. Does 10 divide q(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tw when two letters picked without replacement from {d: 6, e: 2, b: 1, t: 2, n: 1, w: 8}.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4 = -1. Let t be n + (13 - 2) + -2. Solve -t = 5*o - 0*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -2*r**3\/3 - 10. Let h(q) = q**2 + q**2 - 4*q**2. Calculate w(h(k)).\nAnswer: -8*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 divided by -1.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*s + 6*s - 12 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/249 and 55\/72?\nAnswer: 5976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 29158560 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.7699, 2\/3, -2\/39, -1\/2, -0.1, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 88 - 88.1. Let n = 0.7 + -0.4. Sort n, -1, i in descending order.\nAnswer: n, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -757, -658, -523, -352?\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.05 - -0.35. Let q = x + -0.2. Let s = -18 - -13. Which is the third biggest value? (a) -0.5 (b) s (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 627572.9 centuries?\nAnswer: 6275729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3020818 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16)\/(112\/21) + 3971 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1 (b) -0.5 (c) -590.1 (d) -2\/21 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -3. Let d be v\/(-4)*2 - -15. Suppose -4*f + d = -2. What is the greatest common factor of f and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-63)\/28 - (-1 - 284\/112). Sort y, 2\/25, -4\/7, 4\/7, 0.3 in increasing order.\nAnswer: -4\/7, 2\/25, 0.3, 4\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**17\/u**(-36\/11) assuming u is positive.\nAnswer: u**(223\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + 6*m + 4. Let s be a(-9). Let v = s - 20. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 297757829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 p when three letters picked without replacement from {x: 1, v: 4, p: 5}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 7*a**2 + 2. Let j be k(-7). What is the highest common factor of j and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-4))\/(6\/(-14)).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 12071815, 12071816, 12071817, 12071818, 12071819, 12071820?\n\"Answer: u + 12071814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6405 + 14?\nAnswer: 6419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**2 - 4110*p + 4110*p. Let k(c) = 96*c. Determine k(q(u)).\nAnswer: -192*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**3 + 11346*z**2 - 560756*z = 0 for z.\nAnswer: -5722, 0, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 128976.\nAnswer: 386928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3*q = -25215, -8*m = -4*m - 4*q - 20164. Let t = 2806 - m. Let j be (t\/6)\/((-4)\/30000). What is j rounded to the nearest 100000?\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 43 - 31. Suppose k*a - 4*s = -1132000, -a - 4*s - 1132000 = 3*a. What is a rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.214227 to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cuuqucc. Give prob of sequence uuc.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 5*h - 42. Let o be x(10). Solve 0 = u + 3*u + o for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6399000 to the nearest 100000.\nAnswer: -6400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 1 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 8:11 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 58*w**2 - 587*w + 76. Determine v(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) 2 (b) -5 (c) -2\/11 (d) -0.1423\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-1) - 0\/2. Let x = 12 - t. Suppose 0 = 2*p + 2*p - x. Solve -3*d = d + 4, -p*v + 10 = 5*d for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5 = -11. Let a be (z\/5)\/((-9)\/60). Let p(i) = 5*i - 6. List the prime factors of p(a).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6*(-2)\/15*5. Let m be t\/14 - 24\/(-14). Let b be (-2)\/(-4) - 9\/(-6). Solve -m*i + 0 = b for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196317.\nAnswer: 3, 11, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (250\/35 + -7)*4528. Let p = n - 646. Factor 2\/7*x**2 + p*x + 4\/7.\nAnswer: 2*(x + 1)*(x + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 2*s**3 + 28. Let z(q) = -19*q - 8. Let a(p) = -12*p - 5. Let n(b) = -8*a(b) + 5*z(b). What is n(r(j))?\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q**2 + 194*q + 114. What is t(-64)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 246572, 246645, 246760, 246917, 247116, 247357?\nAnswer: 247640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -98465.7071 rounded to the nearest integer?\nAnswer: -98466","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 0*c = -4. Suppose 3*p - c*n = 4*p - 83, 3*p - 2*n - 249 = 0. Let j(h) = -131*h + 9315. What is the remainder when p is divided by j(71)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -6. Suppose 4*g - 248 = -4*m, -r*m = -4*m - 3*g + 64. Is m a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26224.\nAnswer: 2, 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 4 = 0, -4*p + 4*t + 17 + 3 = 0. Let v(w) = -1 + 10*w - 2*w**3 - 7*w**2 - 5*w + 3*w**3. What is v(p)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((-1 + sqrt(1573) - sqrt(1573) - sqrt(1573) - (sqrt(13) - (sqrt(13) + 1*sqrt(52)))) + 2 + -6*2*(sqrt(13) - (-2*sqrt(13) + 3))))**2.\nAnswer: -13320*sqrt(13) + 110776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-9)\/(-27)*(-93)\/(-13) and -119\/130?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + u**2 + u - 1. Let x(q) = -4*q**3 - 4*q**2 - 4*q + 3. Let i(w) = x(w) + 3*z(w). Let b be i(0). Solve -n = -b - 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1120987654 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 5*x - 34, -2 = 2*x + 741*b - 740*b. Suppose -10 = 5*z - 0*z. Let t be 3\/(-5) - (-12)\/20. Sort z, t, -1, x.\nAnswer: z, -1, t, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/13195 (b) -2 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4541 - -4538. What is the fourth smallest value in -67, 2, i, 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 11 = 3*s. Solve 0 = s*j + 3, -j - 1 = 3*u - 3*j for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/7 - 208188*z\/7 + 80658560\/7.\nAnswer: -2*(z - 386)*(z + 104480)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 705*l + 862*l**2 - 705*l.\nAnswer: 862*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22032 = 4*c + 2*w, -5*c + 15874 = 2*w - 11666. What is the thousands digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4496 - -7867. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6 + (-784)\/126 + 12. Which is the nearest to 0.1? (a) 1.6 (b) x (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 11 = -5*z. Let o be 0 + -13 - (-3)\/z. Let t be 6\/21 + o\/(-7). Solve t*w + 6 + 0 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13786*d - 13741*d + 765 = 0 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.4 and 135?\nAnswer: -594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (512\/48 - 18 - -7)*114.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q**2 + 437*q + 18909. What is k(-159)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*u**2 + 0*u**2 - 3*u**2)*(3*u - 2*u - 2*u) - u + 4 - 2*u**3 - 4.\nAnswer: -9*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/8 and 81\/13252.\nAnswer: 26504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -2 - ((-12 - -54) + -38)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 15. Let y = 16 - 10. Let g = -4 + y. What is the smallest value in g, w, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 3*i - 9. Let u be h(-5). Suppose -u + 3 = x. Suppose 3*z = -4*l - 3, x*l - z - 1 = -l. Solve l*w = w + 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/(-6)*(0 - 10). Suppose 3*m = 5*a - p, -3*m + 6 = 2*a - 6*m. Solve -5*g + 20 = -5*z, -a*g - 20 = -8*g + z for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 27\/5? (a) -2\/15 (b) -3.7 (c) -4\/5 (d) 5 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*w - p + 32 = -17*w, -2*w + 4*p = -40. Solve 4*q - v - 12 = 0, -2*q = 2*q - 5*v - w for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + sqrt(72)*-2)*-4.\nAnswer: 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -89 - -84. Which is the closest to 0.1? (a) -16 (b) -3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1333 - 20221030?\nAnswer: -20213031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 925\/13325*130 - ((-195)\/(-21) + (-2)\/7).\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**6\/(w\/((w*w*w*((w\/((w\/(w\/(w*(w*w**(-1\/7))\/w*w*w)*w))\/w))\/w*w*w*w)\/w*w)\/w)))**14 assuming w is positive.\nAnswer: w**128","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 201? (a) 45.2 (b) 0.3 (c) 4\/5 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*101604.\nAnswer: -711228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -3. Suppose c*q + 60 = 6*q. Does 10 divide q - (1 + 1)*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 30.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(128))\/(sqrt(16)*1))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4*j - 62. Let c = 90 - 106. Let i be z(c). Let h = 19.972 - -0.028. Which is smaller: h or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h + 5*h + 5*h - 4*h + 6*h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 134?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s - 9. Let x be w(-4). Calculate the least common multiple of 86\/10 + 3*x\/25 and 5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 4*w**2 - 4*w + 6. Let a be h(5). Let j = 41 + a. Let b = j + 14. Calculate the remainder when b is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 5*y - 20 = 0. What is the lowest common multiple of 8 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 890400?\nAnswer: 2, 3, 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3836448 by -348768.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 910812 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (3 + -6)) + -6 + 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5769756 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*v**4 + 10*v**4 + 13*v**4 + (0*v + 0*v + v)*(2*v**3 + 0 + 0).\nAnswer: 20*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5807729 rounded to the nearest 10000?\nAnswer: -5810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 45.84 - 58.838. Let l = 41 + -28. Let w = j + l. Round w to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*x + x. Solve -3*j = -0 - x for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84631423261*z**3 - 84631423269*z**3 - 4 + 4.\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2515 + 1216 - x**3 + 9244.\nAnswer: -x**3 + 7945","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4929.\nAnswer: 3, 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8900?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -23, -78, -189, -374, -651, -1038?\nAnswer: -1553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97254449 is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 14*q - 16. Let w be n(12). Suppose 3*f = f - 110. Let k = -15 - f. What is the greatest common factor of k and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -10253, -20506, -30759, -41012, -51265?\n\"Answer: -10253*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 2*v + 1127, 1 = -2*v + v. Let g = -3599\/16 - w. Suppose 0 = 2*r + 3*r. Does r = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o - 3. Suppose 7*s = 2*s + 30. Let v be d(s). Solve 0*r + 3*r = -v for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23898 divided by 7966.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -36, 4, -3\/50, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -2*r + 6, -3*o + 372 = r. Let v = -39 + o. Let p(f) = -9*f**2 - v + 84. Let y(q) = 3*q. What is p(y(x))?\nAnswer: -81*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9053 + -9046.999. Let a = 1.1 + -7.1. Let y = c + a. Round y to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/506 and -12\/2783?\nAnswer: 5566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -7*q**2 - q + 8. Let m(d) = -25*d**2 - 5*d + 4. Let z(t) = 56*t**2 + 11*t - 9. Let o(k) = 9*m(k) + 4*z(k). Let r(a) = 6*o(a) - w(a). What is r(8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4 + 28*k**3 + 24*k**2 - 28*k - 26.\nAnswer: 2*(k - 1)*(k + 1)**2*(k + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000182101296 to seven decimal places.\nAnswer: 0.0000182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 7*s**2 + 3*s + 2. Let v be h(7). Suppose 6*x = 133 + v. What is the remainder when x is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -5*j**2 + 2*j - 2. Let f(w) = -12*w**2 + 3*w - 7. Let n(z) = -13*z**2 + 3*z - 8. Let i(o) = 5*f(o) - 4*n(o). Determine -7*h(g) + 5*i(g).\nAnswer: -5*g**2 + g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pqv when three letters picked without replacement from qzlpvgzzqqqzlllqvqpv?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3 = 1, 4*p = 2*j - 14. Is (7\/4)\/(j\/156) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 114 and 171?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14539*b**3 + 184*b**2 + 75 wrt b.\nAnswer: -87234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -102, -0.2, -0.5, 3\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*u - 66*u + 39 = -108. Calculate the remainder when 42 is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppfi. What is prob of picking 1 p and 1 i?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -253, 16648 in ascending order.\nAnswer: -253, 3, 16648","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 38 - a - 24 - 1.\nAnswer: -a - 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of 0 + 3\/40*p**5 - 1\/4*p**3 - 8*p - 1\/8*p**4 + 3\/4*p**2. Factor n(r).\nAnswer: 3*(r - 1)**2*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence og when two letters picked without replacement from ogooogoogrooggrr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 71999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - -4)*6\/17616*-4. Let m = j - -375\/2936. Which is the fourth biggest value? (a) -4 (b) m (c) -1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1180, -1176, -1172, -1168, -1164, -1160?\nAnswer: -1156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -375600.2 rounded to the nearest 100?\nAnswer: -375600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -164 - -402. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 4440095488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 - 6)*(-2)\/4. Suppose 0 = n + r - 3*r - c, 6 = n + 3*r. Solve -2*t - 25 = -y + n*t, -y = -2*t - 13 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u*u*((u**(2\/21)*u)\/u)\/u)\/u))\/(u**(3\/4)\/u))\/(u\/(u\/u**(1\/2)))**(7\/4) assuming u is positive.\nAnswer: u**(47\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 34272209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -135*s. Let p(m) = 17*m. Let h(x) = 33*p(x) + 4*u(x). Let y(z) = 9 + 0*z - 4368*z**2 + 0*z + 4366*z**2 - 9. What is h(y(t))?\nAnswer: -42*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 87 + -59. Calculate the remainder when 81 is divided by r.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -6*b - 2. Let u be r(-3). Suppose 7*v - u = 3*v. Let g(a) = -2*a**3 + 4*a**2 + 2*a + 4. Let k(l) = -l**2 - l - 1. Calculate v*k(q) + g(q).\nAnswer: -2*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 0*y - 2*y + 7*y - 6 - 4*y. Determine x(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*l + 13*l - 896 = 0. Let i = 525 + l. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 484 and 572?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**2\/(k\/(k\/(k\/k**3))*k)*(k*k**8*k)\/(k*k\/((k**(-7)*k)\/k)) assuming k is positive.\nAnswer: k**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 11 = -7. Suppose -3*f = q - 30. Let o = f - 8. Which is bigger: o or 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(85) - (3*sqrt(85)*1 + sqrt(85)) - 2*(sqrt(85)*-2 - sqrt(85)))*6)\/(sqrt(35)\/(sqrt(7) + sqrt(14)\/sqrt(2)) + sqrt(30)\/(sqrt(6)*2)).\nAnswer: 4 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -5*t + 10014, -t + 7*m - 10*m + 1999 = 0. Calculate the greatest common divisor of 169 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 173 - 118. Suppose -4*z + 141 = -g. Is 5 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 1 = 3, 3*a + 2*c - 2762 = 0. Calculate the lowest common multiple of a and 8.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6\/(-1))\/2)\/((-9)\/24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(91)*2 - sqrt(91)*2*-3)\/(sqrt(56)\/sqrt(72) - sqrt(28)*1) + 3.\nAnswer: 3 + 12*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-21)\/6 - 12\/(-8). Let r be 60\/50*(-3715)\/k. Let z = 3150 - r. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-4)*(5 + -1). Solve 2*g + 25 = 5*r, -r + 0*r = u*g + 7 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 150*d + 109*d - 10*d - 15*d to the form f*d + z and give f.\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(-1\/5))\/c*c**(-10))**(-6\/5))**(2\/73) assuming c is positive.\nAnswer: c**(612\/1825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -868628.3*0.3\nAnswer: -260588.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 142.\nAnswer: 994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -81 - -327\/4. Which is the nearest to -0.1? (a) -2 (b) -4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25991.\nAnswer: 7, 47, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -10.537, -5, 0.4, 1\/3, 0, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-2242)\/(-1140) - -3*6\/(-104 + -4)\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0031 times 3\nAnswer: -0.0093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -45*t + 41*t. Let x(f) be the second derivative of -5*f**4\/12 - 4*f**2 - 4*f - 3. Let d(k) = -10*k**2 - 17. Determine t*x(p) - 6*d(p).\nAnswer: -5*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/8? (a) -13 (b) 21 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/20 (b) -3 (c) -26 (d) 25 (e) 4 (f) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.03 + -0.02. Let d = -0.99 - l. What is the second smallest value in 3, 0, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 45 = 5*f, 5*f + 20 + 5 = 0. Suppose 158 = -d*k + 926. Is 8 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 15) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7549 - -7662. Does 17 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or -105?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g**4 + 13286664*g**2 - 24781629*g?\nAnswer: -12*g**2 + 26573328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/5 of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5a50a8 + -7?\nAnswer: 5a50a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -2 (b) -8 (c) 2\/17 (d) 2\/13 (e) 7176\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107939?\nAnswer: 13, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y + 8*y + 3*y.\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117 - 203 - 15*l + 80.\nAnswer: -15*l - 240","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 3:21 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1194.\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -r + 338, -6*z - 336 = -r - 5*z. What is the highest common divisor of r and 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2053 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.9 (b) -2\/15 (c) 29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 11) to base 5\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.441 * -3\nAnswer: 1.323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 91*b - 95*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7522, 7498, 7438, 7324, 7138, 6862, 6478, 5968?\nAnswer: 5314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 28908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 11:25 PM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = 2 + 1 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1538045731?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-55)*5962\/(-1355).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, z: 8, o: 2, n: 2}. Give prob of sequence no.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 5*f + 0 + 5 = 0, -3*f = 3*a - 21 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 2) + 14\/10.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 a when two letters picked without replacement from aajjjaaajjjj.\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 7:21 PM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + b + 10, 7 = -2*b + 3. Suppose 0*g - 5 = 5*g. Calculate the remainder when 31*(1 + -2)*g is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i + 5*i + x + 7, i + 2*x = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 2:50 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**5 - 60*a**4 + 260*a**3 - 480*a**2 + 320*a.\nAnswer: 5*a*(a - 4)**2*(a - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - (76\/8 + -2). Which is the nearest to -1? (a) -2 (b) h (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1120102220120 (base 3) to base 11.\nAnswer: 520696","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*d - 3 + (2*d - 1 + 1)*(-7 + 4 - 5))*(16*d**3 + 30*d**3 - 35*d**3).\nAnswer: -198*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-85)*(120\/54)\/(-4)*3*-9?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3499263, -3499259, -3499245, -3499215, -3499163, -3499083, -3498969?\n\"Answer: u**3 - u**2 - 3499263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by 3089?\nAnswer: -12\/3089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v**2 - 151*v**3 + 249 - 251 - 202*v + 204*v to the form h*v + t*v**3 + p + l*v**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/2))**(-8\/3) assuming t is positive.\nAnswer: t**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(1331)*-1).\nAnswer: -sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1*-12*-1)\/2. Suppose -d - p = -2*d. Suppose -34 = -l - 4*y, -d*l + 8*l + 5*y = 77. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l - 31. Let g(b) = b + 31. What is 4*g(f) + 5*i(f)?\nAnswer: -f - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of j**7\/420 - 27*j**6\/40 + 6397*j**5\/120 + 1107*j**4\/4 + 1681*j**3\/3 + 4*j**2 + 142. Suppose q(p) = 0. What is p?\nAnswer: -1, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**2 - 110*v - 204. Calculate c(-56).\nAnswer: -316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2*o = -16. Calculate the highest common divisor of 8 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (2 + -17 - -4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 + -20?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -31.\nAnswer: 15.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 8 = 5*i, -318*i + 314*i = -7*d + 28 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wdgggngggxwwgggngw. What is prob of sequence wx?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6\/49 (b) -2\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 172522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1221 + -26626?\nAnswer: -30047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - c = -10. Let q be c\/1*(-315)\/6. Suppose 435 = 4*j - q. Round j to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 282\/21 + -9 + (-22)\/(2464\/48).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17421 is divided by 117?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1026\/89? (a) 3 (b) -10 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 3) to base 7\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 58562760 to the power of 1\/2, to the nearest integer?\nAnswer: 7653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-8))\/((-3664)\/190528)\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -3*u**2\/2 + 4*u - 4. Let y(p) = -4*p + 5. Let k(d) = 5*a(d) - 4*y(d). Let l(w) = -12*w**2. Give l(k(o)).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11900 by -20.\nAnswer: -595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61768075?\nAnswer: 5, 947, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 + -d5a?\nAnswer: -d63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**2 + 5*k**2 - 3*k**2 + (1 - 3*k**2 - 1)*(0 + 3 - 1).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2664 - 2666.382. Let z = -3.965 - l. Let d = z + -0.247. Round d to one decimal place.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1908523 - -751464.3091477. Let m = j - 751525.50074. Let u = 61 + m. Round u to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 17 = 5. Let d = c - -100. Suppose k + i - 37 = -i, 3*k - i = d. Calculate the greatest common factor of k and 264.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 5*m**3 - 3*m + 2. Suppose -g + 0 = -2. What is the units digit of r(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 - -27. What is the remainder when i is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1657 - -1652. Let y(o) = -2*o - 4 + o + 0*o. Calculate y(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 87721 (base 11) to base 8\nAnswer: 370523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38045 is divided by 929?\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 q when four letters picked without replacement from {p: 11, q: 2, r: 2}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142655?\nAnswer: 5, 103, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/2)\/(10\/100). Suppose -z = -1 - 3. Let v(q) = 4*q**3 - 9*q**2 + q - 3. Let f(j) = 5*j**3 - 10*j**2 - 4. Let l(i) = z*v(i) - 3*f(i). Calculate l(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + o = -p - 1, 23 = -o + 4*p. Let z be (o - (-28)\/8)*6. Suppose -1 - 2 = -b. Calculate the greatest common factor of b and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7 + (-39043993)\/(-2) + (-161)\/46. What is g rounded to the nearest 100000?\nAnswer: 19500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p - 5. Determine n(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -55.9999886 - -56. Round a to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5 - 0)*(-3)\/(-5). Suppose 0*p + b*p - 63 = 0. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 112 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1288, 2400, 3514, 4630, 5748, 6868?\n\"Answer: w**2 + 1109*w + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 11*l. Suppose 0 = 2*d + g - 17, 2*d - g - 10 = 17. Let c(b) be the first derivative of -10 - d*b**2 + 10*b**2 - 5*b + 5*b. What is y(c(s))?\nAnswer: -22*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xpx when three letters picked without replacement from {x: 3, p: 1, z: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*d**6*o**3 + 2*d**6*o - d**2*o**3 - d**2 - 56*o**3 wrt d.\nAnswer: 2040*d**3*o**3 + 240*d**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 7 + -4 + 0. Let d(p) = 5 + 2*p**t - 21*p - 14*p + 31*p. Let g(s) = -s**2 + 2*s - 2. What is 2*d(l) + 5*g(l)?\nAnswer: -l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 350\/(-75) + -1*438\/(-90). Solve -16\/5 - w*d**2 + 8\/5*d = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -206688, -413384, -620094, -826824, -1033580, -1240368, -1447194?\n\"Answer: -m**3 - m**2 - 206686*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, e: 5, i: 3, j: 1, c: 1}. Give prob of sequence ce.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4018 and 164.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from {o: 6, t: 13}?\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 12) to base 3\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - l - 6 = -0, -5*l - 10 = 5*i. Solve 0*v - i = v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2*t**5\/9 - 34*t**4\/9 - 116*t**3 + 10708*t**2\/9 - 18158*t\/9 + 2842\/3 = 0.\nAnswer: -21, 1, 7, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32305*s**4 + 17*s**2 + 64615*s**4 + 1 + 2*s - 32366*s**4 to the form z*s + d*s**3 + x + f*s**4 + l*s**2 and give f.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1.7*20300\nAnswer: -34510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 38 - 188 = 0. Let b(y) = y**3 - 8*y**2 + 3*y + 10. Let x be b(10). Calculate the greatest common factor of x and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p + 6. Let v(o) = 1. Let y be (-3)\/(-2)*(-36)\/(-54). Let s(w) = y*f(w) - 6*v(w). Let n(r) = r + r - 6*r. What is n(s(j))?\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1174940.\nAnswer: 2, 5, 13, 4519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4125 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r - 4*r - r)*(2*r + 0 + 0) + 2 - 2 - 2*r**2 + (1 + 3 - 6)*(3*r**2 - 6*r**2 + r**2) - 14*r**2 + 44*r**2 + 27*r**2.\nAnswer: 61*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 12*i - 56. Give j(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*l**5 + 38*l**3 - 40114*l**2 + 28945857*l.\nAnswer: -40*l**3 + 228*l - 80228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 201 + 406007?\nAnswer: 406210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2 + -2*sqrt(75)*-2*-6)*3.\nAnswer: -360*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(1700)*-2 + 2 - sqrt(1700)).\nAnswer: -90*sqrt(17) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -10, 1.622, 398?\nAnswer: 398","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 212002*j**5 - 3*j**4 - 3*j**2 - 27522734*j.\nAnswer: 4240040*j**3 - 36*j**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44289327.\nAnswer: 3, 97, 152197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 156 (b) -12 (c) -2 (d) 1\/43 (e) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 2*x**2 + 29*x + 79. Give j(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2044 + 2?\nAnswer: 2046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -7*f**4\/8 + f**3\/3 - 1453*f**2. Calculate t(1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2903, 2908, 2905, 2888, 2851, 2788, 2693, 2560?\n\"Answer: -d**3 + 2*d**2 + 6*d + 2896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**4\/n*n**3)\/(n**7*n*n**(1\/10)) assuming n is positive.\nAnswer: n**(-21\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = k + 89168, 249*p = 246*p + 2*k + 133755. What is the hundreds digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25860?\nAnswer: 2, 3, 5, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*b + i - 2, -2*b - i = 1. Suppose 5*y - 6*y + 9 = b. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 11*x - 37*x + 13*x + 11*x. Let u be (-10)\/(-4)*20\/25. Let g(y) = -9*y**2 + 9*y**2 - 8*y**2 - 2*y**u. Give g(h(m)).\nAnswer: -40*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -7. Let m = 0.82 + -0.02. Let j = m + -0.3. Which is the smallest value? (a) t (b) -0.4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64920617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2338 + -769203\/329. Let w = 3953\/1645 + k. Let -2\/5*f**3 + 0 - 2\/5*f**2 + w*f = 0. What is f?\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - p + 12 = 5*n, -n - 4 = -2*p for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75\/150*-2*4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27*m**5 + 65 - 55 - 9*m**5 + (-2*m**5 + 0*m**5 + 3*m**5)*(-2 + 4 - 1).\nAnswer: 19*m**5 + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 15 = -3*t, 0 = 8*f - 5*f - t + 5 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50\/561 - -1\/33. Suppose 0 = 2*p + 5*p - p. Suppose p = 7*y - 2*y + 5. Is y less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -8*p + 62. Let t(n) = -n**3 + 10*n**2 - 5*n - 27. Let o be t(9). What is a(o)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*i - 1771 - 2645 = 0. What is the greatest common factor of i and 253?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -1721231*q**2 + 5. Let a(x) = -x. Determine c(a(l)).\nAnswer: -1721231*l**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27278 + -15487. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-22)\/(-77) + 1272\/(-140). Which is the biggest value? (a) -0.4 (b) n (c) 0.3 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.4 + 0.2. Let p = 38\/3 - 12. What is the closest to -1\/4 in p, 0.4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -179826*a**4 - 3*a**2 - 2*a - 252.\nAnswer: -4315824*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 637077.2 millennia to months.\nAnswer: 7644926400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k - 16. Let l be t(7). Suppose 2*o = 4*f - 25 + 147, 0 = l*f - 3*o + 155. Is 4 a factor of (f\/8)\/((-3)\/18*1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of 4*k**3\/3 - k**2\/2 + 24*k. Let a(s) = 3*s. Let g(w) = -a(w) - h(w). Let o be (-1)\/(-3) - 4\/(-6). Calculate g(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/7 (b) 2\/9 (c) 6\/149 (d) 4 (e) -1\/216\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 114 = 38. Let a = -43 - m. Let l = a - -40. What is the remainder when 62 is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3318640*v**2 - 12810*v + 112 wrt v?\nAnswer: 6637280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 160?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21001 - 1012211?\nAnswer: -221210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -672*v**4 + v**3 - 44*v**2 - 403381 wrt v?\nAnswer: -2688*v**3 + 3*v**2 - 88*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 173725 to the power of 1\/2, to the nearest integer?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/45030 and 51\/4?\nAnswer: 90060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*r**5 + 82921492*r**4 + 190999254781500*r**3 + 146647551272196937500*r**2 - 97765119070046875000*r.\nAnswer: 4*r*(r + 2303375)**3*(3*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 880 divided by 88.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -8019465.6 to the nearest one thousand.\nAnswer: -8019000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2*sqrt(468)*2 + 1 - (((sqrt(468) + -1 + sqrt(468))*5)**2 + sqrt(468)*1*6 + sqrt(468)).\nAnswer: -46821 + 534*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (46 - (14 - -4)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -681694 or -681697?\nAnswer: -681697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-3*sqrt(104)*-3)\/sqrt(2) - -5*(sqrt(52) - (4 + 0 + sqrt(52))))**2 + 1.\nAnswer: -720*sqrt(13) + 4611","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(17) + 2) + sqrt(17) + sqrt(51)\/(sqrt(6)\/sqrt(2)) + 5 - (sqrt(17) + -6*sqrt(612) - ((3 + sqrt(17))**2 + -1)).\nAnswer: 22 + 39*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((105\/2)\/(-7))\/((28\/14)\/4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.352 - -29.352. What is the closest to -1 in -1, z, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 22151 and -0.0357.\nAnswer: -790.7907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 6*j + 3. Let y be g(-6). Let b = y - 0. Suppose i = -b*i + 56. Solve i = -4*q - 6 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*1\/(-3) - (-111364)\/66. What is q rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9976600 and 350?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-11))**(1\/15)\/(a\/(a*a**(-14\/5))*a*a)**44 assuming a is positive.\nAnswer: a**(-3179\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/353787 - 1735229\/2122722. Calculate the common denominator of r and -119\/72.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1893 divided by -7.\nAnswer: -1893\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 197 + -196. What is the second smallest value in d, -0.2, 14?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2605 = 4*v + 3*y, 0 = 3*y. Let m = -510 + v. Let r(c) = 26*c - 1. Let a be r(3). Calculate the greatest common divisor of a and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 185762814?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2431 divided by -187.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27959\/1446 - -1\/482. Let f = 19 + z. Put 3, f, -0.02 in decreasing order.\nAnswer: 3, -0.02, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i**3 + 4*i**2 + 65*i + 2. What is the remainder when 76 is divided by h(-5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*a**2 + 25*a + 0*a**3 + a**3 + 10 - 3 + 8 - 3.\nAnswer: (a + 1)**2*(a + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/2 - -2)*0. Suppose j = -o + 10 - 7. Let r = 7\/9 + -8\/45. What is the third smallest value in o, r, -0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -138, -277, -416?\nAnswer: -555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 9 + 3*f + (-3*f + 0*f + f)*(-1 + 0 - 1) - 136*f - 179*f - 8*f + (f + 2*f - f)*(0 + 0 + 2) as r + s*f and give s.\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Convert 88.15284m to micrometers.\nAnswer: 88152840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 5, -1806, -8, 1.3, -6\/5, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13169274 is divided by 58?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 164, 588, 1412, 2768, 4788, 7604?\nAnswer: 11348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -x**3 + 27803*x**2 - 5*x - 2864 wrt x.\nAnswer: -6*x + 55606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9\/5 + 31\/20. Sort k, -4, -0.3 in decreasing order.\nAnswer: k, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 3.7.\nAnswer: 11.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3800203, 15200802, 34201799, 60803194, 95004987?\nAnswer: 136807178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 37438237, 74876482, 112314727?\n\"Answer: 37438245*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6052.\nAnswer: 2, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 5*q - 3. Let t be m(5). Suppose -4*y - 4*d - 40 = 0, -5*y - 4*d - 1 = 50. Let k = 16 + y. Put k, t, 0 in descending order.\nAnswer: k, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10429506*w - 4458231 with respect to w.\nAnswer: -10429506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 888875 and 3282?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -780, -782, -784?\nAnswer: -786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2\/8 + 206708793*y\/2 + 14242841701172283\/2.\nAnswer: 3*(y + 137805862)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*w - 30. Let a be 52\/(-65)*w\/4. Solve r = -5*z + 1, -a*z + 3*r - 2 = -16 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.685802 to two decimal places.\nAnswer: 0.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 68950 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/4 - (-1)\/(-2). Let m be z*-1*(-11)\/2. Let f = m + 0. Is f a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2 + 4 - 1010\/(-240) and (-12208)\/1568 - (-1 - 9)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11000 (base 2) to base 5\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5583\/10 or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 702 - 697. Let x be 2\/3 + (-104)\/66. Which is the closest to -0.1? (a) x (b) d (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20779742 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**2 - q**3 + 0*q**2)*(-1 + 3 - 1) + (q**2 + q**2 + 0*q**2)*(-39*q + 0*q - 8*q).\nAnswer: -95*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -6896 at least as big as -6896?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10791 - -29860880383?\nAnswer: 29860869592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3443 (base 10) to base 6.\nAnswer: 23535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**3\/9 - 676408*d**2\/9 - 2705656*d\/9 - 901888\/3 = 0?\nAnswer: -2, 338208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 67724353 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 78244822.\nAnswer: -391224110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1386 divided by 1\nAnswer: 1386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2011013 (base 4) to base 15.\nAnswer: 27ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 368466333.852 and -183.\nAnswer: 368466150.852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -13. Let v = 67865\/12 + -5664. Find the common denominator of (1\/r)\/(26\/228) and v.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 0*r + k = -6, -5*r = 5*k + 10 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -2*h**6\/5 - 136*h**5\/25 - 92*h**4\/5 - 136*h**3\/5 - 98*h**2\/5 - 32*h\/5 - 1016. Let x(v) = 0. Calculate v.\nAnswer: -8, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of -22*p**5\/5 + 2*p**3\/3 - 7*p**2\/2 - 2*p - 8. Is w(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10481 and 161.\nAnswer: -1687441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/2)\/(-3) + 5. Let w be (-6)\/(-4)*(-24)\/(-9). Solve -2*m = -v*m - w for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 36456, 145841, 328150, 583383, 911540, 1312621?\n\"Answer: 36462*i**2 - i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13144346?\nAnswer: 2, 641, 10253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252596?\nAnswer: 2, 63149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -2\/11965, 6\/5, -0.16, -2.3, 4?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 2:42 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -22*n - 21584. Let s = -64 - n. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 4:41 AM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 48.18 - 47.18. What is the third smallest value in -1, -534, -1\/2, n?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -650*a = -662*a - 24 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -164*p + 115. Let c(j) = 98*j - 69. Let m(d) = -17*c(d) - 10*g(d). Calculate m(5).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 + 858 = -49*g - 26*g for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1213586 and -0.246.\nAnswer: -1213586.246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 159 + -94. What are the prime factors of a?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nmmcccbmyjbmm. Give prob of picking 1 y and 1 n.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v**2 + v. Determine j(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 + 19*g - 48. Determine t(-21).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -831 + 653. Let i = -168 - w. Solve 3 = -7*b + i for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18061208.\nAnswer: 2, 11, 17, 12073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g + 4 = 14*g. Suppose g = 2*x + 12. Put 5, -4, x, 1 in decreasing order.\nAnswer: 5, 1, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 e when three letters picked without replacement from eccdeccuccuu.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*-2 + 110\/2. Let p = h + -28. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 8*r + 2. Suppose -4*n - 5 = -5*n - x, 2*n + 3*x = 13. What is the tens digit of u(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 q when three letters picked without replacement from {e: 2, q: 3, d: 12}.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 2*q**2 - 5*q + 61. Let j be b(6). Let d = -1923\/17 - j. What is the closest to -1\/4 in -1\/3, 3, 2, d?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203 + 203 - 256*l**3 - 609 - 1598*l**3 + 203 - 2*l**2.\nAnswer: -1854*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7470603?\nAnswer: 3, 7, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, s: 2, p: 5, f: 4, c: 4}. What is prob of sequence xfc?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 5*j - 26. Let k be b(6). Solve -k*a = -2*a + 4*h + 18, -3*h - 15 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = d - 2*u - 8, 0 = -4*d - 3*u - 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44 + 156. Let w = 407 - 393. Calculate the highest common divisor of z and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2 - 4 = 0. Suppose 23 = y*j - j. List the prime factors of j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 3*a + o + 34 = 0, 0 = -5*a - o + 46. Suppose a = 5*c, 5*z = -0*c + 3*c + 139. List the prime factors of z.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7627196*o + 7553588 wrt o.\nAnswer: -7627196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212*v - 21 = -246*v + 13. Is v at most 7\/1679?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.044 + -0.882. Let m = b + 0.338. Let s = 8.06 + -8. What is the biggest value in s, m, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5114*k + 2662 = -5235*k for k.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 922\/1045 + -4271879\/4715040. Calculate the common denominator of -49\/11 and n.\nAnswer: 49632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-5)\/i)\/i)\/((i\/i**(-1\/7))\/i))\/((i**(2\/5)*i)\/i**(-1)) assuming i is positive.\nAnswer: i**(-299\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(400)*-2 + sqrt(400))\/sqrt(8)*-1)**2 + 2*(sqrt(20)\/(sqrt(70)\/sqrt(7)) + 0).\nAnswer: 2*sqrt(2) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 207\/(-759) - (-47)\/11. Solve 12*z - 15*z = 3*a, v = -5*z - 3*a for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrrr when four letters picked without replacement from rrrrrrrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -6 - 2*v + 3 + 3*v - 2*v. Let z be o(-5). Differentiate 2*k**2 - 2*k**z - 14*k**4 + 23 - 40 with respect to k.\nAnswer: -56*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19060 is divided by 123?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 3*m - 4*m + (7 - 7 + 2*m)*(2 - 6 + 3) - 2*m + 2 - 2)*(0 - 1 - 3).\nAnswer: 20*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**3 - 8*y**3 + 4*y**3)*(-2 + 5 - 2)*(5*y - y - 2*y).\nAnswer: -8*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*p + 132*p = -36, -5*i + 29 = 6*p for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 327643160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i + 23. Let n(p) = -30. Let m(c) = -25. Let g(f) = 5*m(f) - 4*n(f). Let y(u) = 9*g(u) + 2*q(u). Let j be -3 - -3 - (0 - -3). Calculate y(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 11:55 PM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0.48, 1, -1\/6, -1\/2 in decreasing order.\nAnswer: 6, 1, 0.48, -1\/6, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d925 + 4?\nAnswer: d929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/3, 156, -2\/175, 16, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 1220*a = 1216*a + 7, 2*q + 3*a = 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3bed + -4?\nAnswer: 3be9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u + 0 + 0)*(-3*u + 32*u + 35*u) + (1 - 1 + 2*u)*(14 - 14 - 3*u) to c*u**2 + a + w*u and give c.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ae - -1?\nAnswer: -ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - 10 - 1 - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 + 13*p**3 - 34.\nAnswer: 13*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 - 6*a + 1. Let f be o(-5). Let m(b) = -3*b - 3. Let y(l) = 4*l + 3. Let w(q) = 5*m(q) + 4*y(q). Let x be w(f). Solve -x*k - k - 8 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 4*d + 90 = 0. Does 6 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5.8, -0.23, 1\/4?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 178 + -178.1. Sort l, -2\/9, -4, 0.4 in decreasing order.\nAnswer: 0.4, l, -2\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1035*n**2\/4 + 8493*n\/2 + 15951\/4.\nAnswer: 3*(n + 1)*(345*n + 5317)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 33 = -3*f, 0*i + 4*i - 2*f = -74. Suppose 0 = 4*x - 18 - 14. What is the smallest common multiple of (i\/6)\/((-24)\/108) and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of 17\/2*v**2 + 2*v**3 + 0*v + 4 + 7\/2*v**4. Let h = -2 - 4. Let i(p) = 5*p**3 + 2*p**2 + 6*p. Give h*b(c) + 17*i(c).\nAnswer: c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*s + 10 - 10)*(-2 + 2 + 2 + (3 + 2 - 4)*(-4 + 0 + 2) + 2 - 1 + 1)*(-2 - 1 + 1) to the form r*s + v and give r.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -p**4\/4 - 5*p**3\/3 - 7*p. Find the second derivative of l(f) wrt f.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 5:29 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + sqrt(117) + 3*sqrt(117) + sqrt(117))*3)**2.\nAnswer: 37908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31\/98 - 479\/98. Are y and -5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -71 + 109. Let u = 40 - f. Suppose -3*n + 4*s = -44, -s = -u*s - 2. Calculate the lowest common multiple of 12 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 46ae + c9?\nAnswer: 4777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 122 + -119. Which is the nearest to -0.1? (a) q (b) -0.12 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*m**2 + 5*m**4 - 21*m**3 - 3*m - 22*m**3 + 58*m**3 + 14*m**2 - 17*m**3 as f*m**3 + c + u*m + i*m**2 + a*m**4 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -311920 divided by -1?\nAnswer: 311920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 120834443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -217 - -35. What is the tens digit of ((-12)\/3 + 5)\/((-2)\/y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 2 - 3. Let h be (-27)\/15 - 2*-1. Is h at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -148, 5566\/3, -5 in decreasing order.\nAnswer: 5566\/3, -0.2, -5, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*r + 48 - 77 + 32 - 6 - r + 6 + (0*r + 3*r - 5*r)*(-3 + 0 + 1).\nAnswer: -4*r + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence py when two letters picked without replacement from yppppppppppppppppyp.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 966 or 1836?\nAnswer: 966","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b. Suppose r - 13*t + 3 = -10*t, 5*t - 5 = r. Let d(j) be the third derivative of -1\/12*j**4 + 0*j + 0*j**3 + r + 3*j**2. Calculate q(d(z)).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100011101110 - 10001?\nAnswer: 1100011011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -352, -697, -1024, -1327, -1600?\n\"Answer: q**3 + 3*q**2 - 361*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2668*y**4 + 945290*y**3 - 945290*y**3)*(3*y + 15 - 7 - 9).\nAnswer: -8004*y**5 + 2668*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d\/(((d*d**(-4\/11))\/d)\/d))\/d))\/d*d**(3\/8)*(d**(2\/3))**7 assuming d is positive.\nAnswer: d**(971\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - g = -6, 2*g + 12 = k - 3*g. Let n(i) = -11*i**k + 25*i**2 - 10*i**2. Let x(m) = 2*m**2. What is x(n(s))?\nAnswer: 32*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -57643\/12298 + 3\/559. Calculate the common denominator of -23\/3047 and d.\nAnswer: 6094","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 189 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: Solve 4*m - 22*p = -19*p + 35, -78*m - 30 = -80*m + 4*p for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 34*t**2 - 60*t - 61. What is k(32)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 340*o - 4626 = -431*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/10 of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 471626699?\nAnswer: 17, 27742747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 68303 >= 9425741\/138?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 + 0.4. Let v = 3.8 - 3. Let m = v - 0.7. Which is the biggest value? (a) g (b) m (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one quarter of a millennium?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 115 - 5 = 0. What is the smallest common multiple of g and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 10. Is 5 a factor of 96\/9 - i\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 33456\/39 - -3 - (-60)\/390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1759*c + 45676 - 45676 in the form t*c + z and give t.\nAnswer: -1759","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11720000 rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19656.8 + 17454. Round w to the nearest one hundred.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 722*i**3 + 5530*i**2 + 26487939*i wrt i?\nAnswer: 4332*i + 11060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 7. Let a(t) = -t**3 - 4*t**2 - 2*t - 5. Let x be a(b). Suppose -3*o - 5*y + 142 = 0, -18 = -3*o - x*y + 114. What are the prime factors of o?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 130\/4*534\/(-135)*-9 + 4. What is the highest common divisor of l and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -101*w**2 - 42 + 57*w**2 + 11*w**3 - 410 + 58*w**2 wrt w.\nAnswer: 33*w**2 + 28*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one quarter of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y + 6*y - 12*y - 56 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((-33)\/18 - (186\/(-36) - -5)). What is the closest to 2\/7 in -17, 0.7, r, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-7))\/(i\/i**(-1\/7)))\/(i\/i**5*i*i**1*i) assuming i is positive.\nAnswer: i**(-43\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 a factor of 182070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 + 0 + 18)*(-2*g - 3*g - 6*g)*(g**3 - 4*g + 4*g).\nAnswer: -484*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15)\/3*-3*3\/(-15). Let b be 6 + (t - -5 - 4) + -2. Factor 2*s**3 - 2*s**4 - 3*s**2 + 8*s**b - s**2.\nAnswer: -2*s**2*(s - 2)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 5*b + 3. Let u be v(5). Suppose 2*l + 5*a - 600 = 0, 0 = u*l - 5*l + 2*a + 600. Round l to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 + 0*n - 38 - n - 14*n + 238*n**2 + 13*n.\nAnswer: 238*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (450 - 468) + 13 + (-3 - -6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.4, -14, -174\/11, -8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-7 + -13) - (-66 + 60)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 46185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + 1 + (67 + -45 - -11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -598 = -m - 3*k, -5*m + k + 3985 - 963 = 0. List the prime factors of m.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 11, 411\/14, -6.7?\nAnswer: 411\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 135, 128, 119, 108, 95, 80, 63?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27675 - -27603.937. Let w = a + 0.063. Let p = 77.4 + w. Round p to zero decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 4*t**3 - t**2 + 1. Let w be n(1). Suppose -3*v = -11 - w. Suppose -v = -5*x + 20. Solve -x*f = -4*f - 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.623 + -0.66. Let u = f - 2.163. Let l = u - -3.2. Which is the third smallest value? (a) -1\/2 (b) l (c) -0.2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2112103012 (base 5) to base 16.\nAnswer: -43499d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 2*x + 4*j + 4, 5*x + 1 = -4*j. Let i = 3 + x. Solve -3*l - i = -15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/4650497 or 1?\nAnswer: 2\/4650497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4 (b) 2\/15 (c) 0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 421 (base 6) to base 13.\nAnswer: c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/690)\/((-6003)\/1587)\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 3*r + 186, -2*h + r + 69 + 64 = 0. Solve -56*i = -h*i - 18 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-30)\/4*(-70)\/15. Suppose h = 5*i - 128, 4 = 4*h - 4. Suppose -4*d + 4*q = -d - i, -5*q = 3*d - o. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*-1 - (-3 - 1). Let g be 3 - ((-3)\/(-1))\/f. Suppose -t - 9 = g*a - 6*a, t + 12 = 5*a. What is the least common multiple of 3 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -0*r - 4*r. Suppose -k = -l - 248, 4*k + r*k + 3*l = 971. Calculate the remainder when k is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -602*k**4 + 98*k**3 + 34*k**2 + 99*k - 420.\nAnswer: -14448*k + 588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13559?\nAnswer: 7, 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -9*y + 42. Let a(j) = 18*j - 88. Let i(p) = -2*a(p) - 5*z(p). Let b(v) = 3. Let u(r) = 3*b(r) - i(r). Differentiate u(n) wrt n.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/2 + (-690)\/(-46).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 7*r. Suppose -22*k + 23*k + 10*i = 274, 0 = 2*k + 2*i - 440. What is the remainder when k is divided by g(-12)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94*-2.02.\nAnswer: -189.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 544, 579, 614, 649, 684?\n\"Answer: 35*b + 509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43140700.\nAnswer: 2, 5, 151, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: 34*-332\nAnswer: -11288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of 1\/24*c**4 - 36*c**2 + 0*c + 0 - 1\/60*c**5 - 5\/2*c**3. Determine r(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(6\/7)\/(i\/(i*i**4)) assuming i is positive.\nAnswer: i**(34\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -223?\nAnswer: 669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 81153454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -2*n - 3*k + 6, k = 3 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 163067 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 18, 9 in descending order.\nAnswer: 18, 9, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10.2 + -39.2. Which is the second smallest value? (a) 0.3 (b) -1\/6 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 0, 4\/37, 0.1.\nAnswer: 0, 0.1, 4\/37, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27\/19, 1200, -7.\nAnswer: -7, -27\/19, 1200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 455 is divided by 155.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 4*g - 20, 2*u - g + 0*g - 4 = 0. Let i(c) = -1 - 3*c**2 - 4*c**2 + 13*c + 6*c**2 - u*c. List the prime factors of i(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 9*m - 8. Suppose 0 = -s - 9*s + 1170. Let r = s - 112. Calculate the remainder when d(r) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.11746 or -0.1?\nAnswer: 0.11746","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i + 4 - 2 - 2. Let d(p) = 899*p**2. Determine d(u(r)).\nAnswer: 3596*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(2\/19))\/y**(2\/11))\/((y\/y**(1\/9))\/(y*y\/(y*y**(-7)*y)*y)) assuming y is positive.\nAnswer: y**(14717\/1881)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -5*q + 69. Let k be g(11). Suppose -4*f = -3*f - 112. What is the highest common divisor of k and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + s - 32 = 0. Suppose 12 = -4*b + s. Solve -2*y - 1 = b for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = -31 + 10. Suppose 14 = 4*y + 2, -321 = -i*u + 3*y. What is the highest common factor of u and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 334 and 672342.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0009195673 rounded to 4 decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-2\/11))\/(s*s**4))**(1\/8)*(s**(-1\/4)*s**3\/s)\/(s**(1\/9)\/(s**3\/s)) assuming s is positive.\nAnswer: s**(313\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -21. Suppose 2*d = f - 5. What is the tens digit of d\/((-12)\/(-123)) - -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 161 - 97. Let x = k + -31. Suppose x = 2*h - 5*z, -19 = 2*h + 4*z - 7. Is h a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*-9*(-26)\/(-117)*261\/(-232)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40466?\nAnswer: 2, 20233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + 14*a - 1. Calculate the remainder when t(13) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -2. Let f = -5 - s. Suppose 5*l - 61 = -51. Which is the biggest value? (a) f (b) l (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 3 = 2*l. Let t(c) = 3*c**3 + 1. Let k be t(l). Solve 0 = 4*q + 5*m + 29, q - k*q = 2*m + 13 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 194*x + 2 - 145*x + 0 + 335*x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*c + 97*c - 11*j = -17, -31 = -5*c - 3*j for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 458864 = -k - 921497, 1380357 = 5*o - 2*k. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 5*a - 2. Let f be 16 + 1\/(3\/(-6)). Let r be (-4)\/(-16) + f\/8. Does 6 divide x(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 1:09 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 173640 to the power of 1\/2, to the nearest integer?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3*a**2 - 4*a + 4. Let c(k) = -k**2 + k - 1. Let t(z) = -20*c(z) - 5*r(z). Let d(w) be the second derivative of -w**4\/6 + w. Determine t(d(p)).\nAnswer: 20*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.772 * -1.\nAnswer: 0.772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = -12*j + 364. What is the remainder when j is divided by 4\/12 - (-38)\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 415895.6763 to the nearest 1000.\nAnswer: 416000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 36 + -297 + 229?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**1))\/x)**(1\/5)*(x*x\/(x**(-2\/21)\/x))\/(x\/(((x*x*(x*x*(x\/x**(-4\/3))\/x)\/x)\/x)\/x)*x) assuming x is positive.\nAnswer: x**(106\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 13 + 8)*(-2*z + 2*z + z)*(z - 3*z + 0*z)*(-19*z**2 + 61*z**2 + 11*z**2) as i*z**3 + f*z**2 + y*z + q*z**4 + g and give q.\nAnswer: -1802","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 d when three letters picked without replacement from {h: 2, d: 6}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6513 (base 9) to base 2\nAnswer: -1001010110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 9) in base 16?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + z = -672, -3*o - 4*z = 2*o - 1693. Suppose 3*i - 907 = -o. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -66, 12\/13, -1\/2, 2\/3, -3\/8?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 224 - 224.000682. Round y to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/2)\/(((-34220)\/232)\/(-295))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23287223 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/13 in 25, 13, 4, 1\/5, -3\/8?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**5\/9 + 14*n**4\/3 - 2*n**3\/3 - 122*n**2\/9 + 28*n\/3 = 0.\nAnswer: -21, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**4 + 1 + 4 - 4)*(-68*c - 26*c - 22*c).\nAnswer: -232*c**5 - 116*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/8)\/((3\/(-2))\/(-3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3053 divide 1292545557?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4041040 (base 6) to base 10.\nAnswer: 192048","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/4 of a meter in millimeters?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -0*v - 4*v + 56, 2*v - 112 = 4*l. Suppose 8*z + 55 = -25. Is z\/(-35) - 1672\/l a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2.73, -2447, -4, -2\/5?\nAnswer: -2447","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 187 and 1766827.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5003 - 4999. Which is the closest to -2? (a) -0.5 (b) 3\/8 (c) u (d) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/9*4\/((-12)\/(-9)). Let a(g) be the second derivative of -2\/15*g**6 + 0 + 2\/21*g**7 - 1\/5*g**5 + 20*g + 0*g**z + 0*g**3 + 1\/3*g**4. Factor a(f).\nAnswer: 4*f**2*(f - 1)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrqqqrrrrr. What is prob of sequence qrr?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 2.8. Let t = -1.6 + o. Let s = 2.1 - 2. What is the nearest to -0.1 in s, -2\/17, t?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 4077?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of -11*g**4\/24 - g**3\/6 + 5*g**2\/2 + 4*g. Let d(n) be the first derivative of h(n). Determine d(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 16, -32*a = t - 31*a - 9 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -5*d - 31, -6 - 17 = -f + 4*d for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -378 - -367. Let s be a + 5 - (-12)\/1. Solve 3*g + s = 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t + 61 = 13 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 2*v**2\/9 + 830424752*v\/9 + 86200658591782688\/9 = 0?\nAnswer: -207606188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-84)\/160 + 1\/8. Which is greater: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from viovddonvxd. What is prob of sequence xo?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**2 - 2 + 0 - y**2 + 4 to the form r + s*y**2 + l*y and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(2\/1))\/(4488\/(-132)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v - 9. Let g be m(-14). Suppose -5*q - 6*a + 2890354 = -4*a, q - 578057 = -g*a. Let w = -2798072 + q. Round w to the nearest one hundred thousand.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 553207.\nAnswer: 553207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 - 4*z + 12. List the prime factors of x(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 792213, 3169671, 7132095, 12679479, 19811817, 28529103?\nAnswer: 38831331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(49)\/sqrt(7)*-5)**2.\nAnswer: 50*sqrt(7) + 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by (37 - -3) + -7 + -2 + 8?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*f, -2*f = -w - 0*w - 2. Let t = w - 31\/4. Which is the third smallest value? (a) -4 (b) 5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 149, 166, 183, 200, 217?\nAnswer: 234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -193.6 take away 3676?\nAnswer: -3869.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 5*x**2 - 3*x + 1. Let b be y(-4). Suppose -27*j + 28 = -26. Sort -1, -15, b, j.\nAnswer: -15, b, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -196.25537 to zero decimal places.\nAnswer: -196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 272.8 + -362. Let w = -90.2 - j. Which is the nearest to w? (a) -4 (b) -1\/2 (c) -1\/6 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 191048?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1918821, 1918825, 1918831, 1918839?\n\"Answer: v**2 + v + 1918819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5964918 divided by 1662\nAnswer: -3589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (13 - -11 - 30) + 14\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -2*k**7\/105 + k**5\/5 - k**4\/3 + 2*k**2 - 21. Let o(w) be the second derivative of j(w). Factor o(d).\nAnswer: -4*d*(d - 1)**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6402, 22583, 48520, 84213, 129662, 184867, 249828?\n\"Answer: 4878*l**2 + 1547*l - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**2 + 6*w + 12. Let z be j(-4). Suppose 0 = -14*a + 9*a + z. Solve -a*m + 15 = m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47311?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2112200220 - 1222?\nAnswer: 2112121221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 2*b - 4*p + 2008, 4*b - 2719 = 3*p. Let m = b - 674. Solve 2*r + 8 = -z - 1, -4*r + m = -2*z for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13597\/2812 - -1\/148. Let t = -9041 + 171845\/19. Solve 0 + 24\/19*z**2 - 14\/19*z**5 + 16\/19*z + t*z**4 - x*z**3 = 0.\nAnswer: -2\/7, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360050 divided by -72010?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from squqsk. What is prob of sequence kus?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2962)\/156)\/(3427\/447) - 4\/26. Which is smaller: -3 or m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.78 + -1.28. Let g be ((-3)\/9)\/((-20)\/12). What is the nearest to 1\/4 in 0.4, v, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 22659 (b) -5 (c) 2 (d) 0.057\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - f + 10. Suppose -47 - 123 = -f*u. What is the remainder when u is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uruuuuouruocokuuouk. Give prob of sequence ockk.\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60526, -60524, -60522, -60520, -60518, -60516?\nAnswer: -60514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -76509*r + 764810. Determine o(10).\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -658.53 and 60407.\nAnswer: 59748.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/12 - (3\/(-6) + 1). Let l = -135.4 - -122. Let a = 13 + l. Put q, a, 0.3 in decreasing order.\nAnswer: 0.3, q, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174200650?\nAnswer: 2, 5, 13, 283, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 192*j - 1 - j**2 - 79*j - 2*j**2 - 95*j to the form i + r*j**2 + t*j and give t.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8502432 (base 9) to base 2.\nAnswer: -10001010110011111101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -65ddd0 (base 14) to base 12\nAnswer: -11a89aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1211949?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(416)\/(sqrt(16)\/sqrt(2)))\/(sqrt(36)\/(sqrt(27)\/sqrt(3))))**2 + (1 + (sqrt(1053) - (sqrt(1053) - (-1*sqrt(1053) + sqrt(1053)))) + -1)**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4*t**3 - 5*t**2 - 35*t + 164. Let k be r(5). Let l = k + 873. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q + 544. What is o(-3)?\nAnswer: 538","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200*d + 6 = -194*d. Let y(c) = -40*c. Determine y(d).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-54))\/((-865)\/23355).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300)*-1 - sqrt(13)) + (sqrt(52) + 1 - sqrt(52)) + sqrt(52) + ((-2*sqrt(143) + sqrt(143) + sqrt(143) + sqrt(143))*-1)\/sqrt(11))**2.\nAnswer: -20*sqrt(13) + 1301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 24*g - 1 + 3 + (1 - g - 1)*(0 - 5 + 4) + 0*g - 5*g + 3*g)*(3 - 2 + 4).\nAnswer: -115*g + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*y - 5*r - 73 = 27*y, 3*r = -2*y - 39 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-12)\/f))\/(f*f*f**(-1\/12))*f**(1\/22)\/f**(-3\/13) assuming f is positive.\nAnswer: f**(21209\/1716)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 19*g + 25. Let t be y(-4). Let p be (-11866)\/t*(-1 + (-5)\/(-2)). Let v = p + -168. What are the prime factors of v?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-three fifths of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-1 + (-204)\/(-54))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yssfaoay. Give prob of picking 1 a, 1 y, and 1 f.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 2 - 2*x**2 + 2*x + x + 5 as y + k*x + j*x**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9944 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2729088 and 11408?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 9) to base 15\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**2 - 5*d**2 - d**3 + 5*d**2 + (-5*d**2 - 9*d**2 + 10*d**2)*(81*d - 88 + 88).\nAnswer: -325*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 5:09 AM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-82)\/(-4) + ((-57420)\/(-90))\/(-58)?\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.48, 2\/17, 1\/5, 1\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 r when two letters picked without replacement from rkkrbfrktkrrfkkkrr.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -204699755?\nAnswer: 3\/204699755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 12, g: 2, e: 1, s: 1, o: 1}. What is prob of picking 1 s, 1 o, and 1 e?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 114\/15 + (-3)\/5. Suppose 0 = 2*n - 2*h - 16, 0 = 4*h + 19 - w. Let y(q) = 2*q**2 - 6*q + 6. What is the tens digit of y(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + -6. Suppose u - 2*n - 3*n = -24, 0 = -4*u + 3*n - 181. Let v = 63 + u. Calculate the remainder when v is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 2, -1\/9, 1 in descending order.\nAnswer: 2, 1, 2\/9, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20977 and 1203317?\nAnswer: 1907","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 13 + 35)*(220*w + 348*w - 941*w).\nAnswer: -13428*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**3 + 5*j**2 + 7*j + 5. Let i(q) = 4*q**3 - 9*q**2 - 13*q - 9. What is -6*i(a) - 11*s(a)?\nAnswer: -2*a**3 - a**2 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.6662 rounded to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 14*u**2 - 25*u + 10. Let y be p(12). Let h(i) = 4*i**3 + 3*i - 5*i - 7*i**3 + 4*i**3. Determine h(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 4*d - 66. Let q = -53 - -70. Let b be v(q). Solve 4*g - b = -2*p, 3*g - 3 = -p - 2 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 8:24 PM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -62 + 30 - -24 - -31.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 179 + -86 + 14 + -34.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q**5 - q**5 + q**5 + q**5 - q**3 + q**3 + (0*q - q - q)*(3*q**4 + 2*q**4 - 7*q**4) + 4*q**5 - 6 + 6.\nAnswer: 13*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9983.\nAnswer: 67, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 3:29 PM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + b**2 - 3. Let k be p(0). Let m(q) = -q + 4. Let c be m(5). Let g be (0*c\/k)\/1. Solve 1 = j + 3*h, -4*j - h + 3*h + 18 = g for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 + 1465*q**3 - 11 - 1448*q**3 - 6*q**2 + (-6*q - 8*q + 9*q)*(-2*q**2 - 2*q + 2*q) + 2 + 2*q**3 - 2.\nAnswer: 29*q**3 - 6*q**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 894241.\nAnswer: 313, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (j**2 - j**2 - 2*j**2)*(1 + 3 - 1) - 7*j**2 + 2*j + 2*j - 3*j as f*j + k*j**2 + d and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7950 - 175005\/22. Calculate the common denominator of u and ((-3)\/(-2))\/((-4)\/(-28)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 7*h + 5. Let m be i(-7). Solve -2*r - 9 = c - 0*c, -5*r - m*c - 30 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 3*l - 216. Let w = -30 - l. Calculate the highest common factor of w and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19.034 + -14.034. Let s be 0 + (-14)\/(-10) + -1. Which is the biggest value? (a) 2 (b) s (c) v (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.032864861 minus 111.114?\nAnswer: -111.146864861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 1451 + 81*b**2 + 1447 - 2899 + 12*b. List the prime factors of s(2).\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 527464133 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -290*f = 237*f + 496*f - 114*f - 62721 for f.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.01 - 0.01. Let d = -1.1 + 7.1. Let a = d - 10. Put l, a, -0.1 in decreasing order.\nAnswer: l, -0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4097426*y**4 - 4149652*y.\nAnswer: -49169112*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2435.\nAnswer: 5, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 286 at least 287?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 606, 1066, 1526, 1986, 2446, 2906?\nAnswer: 3366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6230.994 + -6223. Let s = n - 8. Round s to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 0.45.\nAnswer: 1.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-23)\/(-20) + 15\/(-20). Suppose 0 = -a - 4*a. Which is smaller: a or j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*h**2 + 3*h**2 - 2*h**2)*(3*h + 4*h - 2*h) + 245*h**3 - 164*h**3 + 81*h**3)*(-11*h**2 + 38*h - 38*h) + 3*h**3 + 2*h**5 - 3*h**3.\nAnswer: -1725*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, y: 1, g: 1, o: 1, c: 4, i: 2}. What is prob of picking 1 l and 1 i?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*k - 24*k - 381 = 0. Suppose k + 24 = 5*b. Calculate the highest common factor of 36 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 75303.\nAnswer: -1\/25101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*r - 41*r - 14 = 0. Let u(k) = -k. Let q be 2\/7 + 10\/14. Let l(h) = 1. Calculate q*l(z) + r*u(z).\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 539.87894 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.55 and 507.\nAnswer: -278.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 d when two letters picked without replacement from nfdndnn.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*l*u**4 + l*u**2 + 136412*l*u + l + 108*u**5 + 4*u**3 - 2*u**2 wrt u?\nAnswer: -336*l*u + 6480*u**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/5, 2\/3, -0.1, -1\/36, -1.5, -1\/7?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -108 - 874?\nAnswer: -981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qsgqqoosgqqsgstg. Give prob of sequence stq.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**2 - q**3 + 0 + 23*q**4 + 4 + 7*q**2 - 3*q**2 - 26*q**4 to t*q**3 + x*q**4 + k*q + b*q**2 + m and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 8:38 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-23)*f**20\/f)\/(f**10)**(-33\/4) assuming f is positive.\nAnswer: f**(157\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*j**2 - 8\/9*j**4 + 0 + 0*j - 10\/9*j**3 + 2\/9*j**5.\nAnswer: 2*j**3*(j - 5)*(j + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -a - 0*a - 67, -3*m + 205 = -4*a. What are the prime factors of m?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217328 a multiple of 214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3460*d - 1948*d + 5797 - 5797.\nAnswer: -5408*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-464)\/(-812)*2\/24)\/((-1)\/9). Let k = 1\/97 - -482\/291. Which is bigger: k or m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 1. Suppose 0 = -5*i - y + 40, 0*i - g*y - 8 = -i. Calculate the remainder when i is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 4*g**3 - 3*g - 2. Let w(c) = -2*c**3 - 5*c**2 - 2*c - 7. Let u(l) = -l**3 - 4*l**2 - 2*l - 6. Let q(x) = 5*u(x) - 4*w(x). Determine -2*k(f) + 3*q(f).\nAnswer: f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 108, 23, 5, -6 in decreasing order.\nAnswer: 108, 23, 5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cowcl. Give prob of picking 1 l and 1 o.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 49*n**2 - 19*n + 4. Let s(z) = 73*z**2 - 30*z + 6. What is -8*d(i) + 5*s(i)?\nAnswer: -27*i**2 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37865?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 divided by 700377?\nAnswer: 28\/700377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 53, 60, 67, 74?\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 10:55 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*o**5 - 159*o**5 + 704*o**3 - 710*o**3 + (0*o**5 - o**5 + 3*o**5)*(0 + 3 - 2).\nAnswer: -171*o**5 - 6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2600, 5203, 7806, 10409, 13012?\n\"Answer: 2603*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*h - 226 = -112 - 64 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 71313 and 111903.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 1244*o - 1249. Determine l(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((-3*2*sqrt(130) + sqrt(130) + sqrt(130))\/(2*sqrt(90)) - ((sqrt(78)\/sqrt(3))\/sqrt(2) - sqrt(52)*2))**2 + 4).\nAnswer: 673\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20624782 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 t(u) = -37136*u**3 + 1055*u**2 - 1055*u + 1055. Let q(c) = 211*c**3 - 6*c**2 + 6*c - 6. Calculate 1055*q(y) + 6*t(y).\nAnswer: -211*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1715116 to the power of 1\/4, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/9 > -21\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 2 - (-8 - -14).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 4*r**2 - 6*r - 1. Let h(j) = j**2 - 7*j - 4. Let s be h(8). Let d be 3\/1 + (-4)\/s. Suppose d*n = 4*f + 5 + 9, -5*n = 4*f + 35. Calculate z(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - -464*1 - -2. Suppose -11*l = 20*l + 8525. Let m = l + p. What are the prime factors of m?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 226245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/(28\/(-12))*-1. Let l be ((-2)\/k)\/((-272)\/48). Let f = -2.92 - 0.08. What is the nearest to l in f, -0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 920386611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 3*r + 117 = -4*r, 5*a + 2*r - 206 = 0. Is a a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 46 - 226. Let w be (-5)\/(-1) - (-3 + -1). What is the greatest common factor of i and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 105 - 1253\/12. Find the common denominator of 67\/12 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 83355 or 1917144\/23?\nAnswer: 83355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n - 4. Let h(j) = -3. Let a(p) = -3*b(p) + 4*h(p). Let u(f) = 117*f - 117*f - 2*f**2. What is u(a(q))?\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*p - 112 = -912. Is p < 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + 14. Suppose -8 = 2*v, -v - 16 = 5*d + 3*v. Solve d*a + q = -5*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(-2\/63)*k)*k*k**(2\/9))\/(k*k**(10\/3))**(-42))**13 assuming k is positive.\nAnswer: k**(150085\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 5*x. Let a(p) = -11*p. Let m = -24 + 15. Let h = 2 - 2. Suppose -u + h*u - 4 = 0. Give m*y(d) + u*a(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -379670.3 rounded to the nearest 100?\nAnswer: -379700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 2*p + 1. Let v be s(-3). Let n(g) = -26*g - 29*g - 30*g - 28*g + 103*g. Calculate n(v).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 688*p**4 - 1281 + 6368*p**3 - 6368*p**3 wrt p?\nAnswer: 2752*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53 + -50. Let z(k) = 4*k**3 - 3*k**2 + k - 4. What is the tens digit of z(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-163)\/(-1630))\/(10\/(-75)))\/((-5)\/((-1180)\/(-3))).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1833383015.\nAnswer: 5, 23, 15942461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/21*(105\/(-63) + (1 - -1))*-22?\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 4*g - 26, 0 = -2*g - 4*c + 8*c. Suppose -2 = -2*q, g*q = -l + 5*q + 3. Solve 0 = -5*d - 4*p + 22 - 2, 20 = 2*d + l*p for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggmgmgmmmmmmgmmgmmm. What is prob of sequence mg?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 > 180?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 + c**2 - 2*c**2 - 4*c**3 - 6 - 8 in the form x*c + l*c**3 + f + d*c**2 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12492.\nAnswer: 2, 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9438 and 25809784?\nAnswer: 77429352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does -18070 = -18066?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20064876*u + 7220289.\nAnswer: -20064876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*o - 13*o**3 - 1 - 2 + 0 + 6*o to the form r + m*o + u*o**2 + z*o**3 and give z.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*i - 5*q - 10 = 0, 0 = -i + 3*q. Let z be 1\/(-2) - i\/2 - -19. Suppose 57 = z*r - 14*r. Does 19 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 520 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -5*d + 3*d. Let m(c) be the second derivative of -c**3\/6 + 15*c**2\/2 - 2*c. What is the least common multiple of 11 and m(d)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72813 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42 + 85. Let m = -70 + g. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 35 and -183.1?\nAnswer: 218.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a factor of 620400292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**3 + 10*s**2 - s + 35. Determine z(7).\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13162 - -19143. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-240)\/56)\/(2\/(-14)). Let s be 4*(t\/8 + -3). Let u(m) = 0 - 6*m**2 - 1 + m**s - 2*m + 5*m**2. Give u(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*a - 4. Let k be 1\/((-2)\/a) - 0. Let b be -2 + ((-2)\/(-14) - -2). Is k less than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20443425 is divided by 121?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 - -22. Suppose 0 = -3*v + 4*y - 2, 5*v + y + 4*y = -15. Let o be (v - -1 - 2)*-1. Solve g - 4*l - 32 = -4*g, -i*l - 18 = -o*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 507 and 299.\nAnswer: 11661","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3 + 85302*o**2 + 606454560*o + 1212567936.\nAnswer: 3*(o + 2)*(o + 14216)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-3\/8)*p**(-10) assuming p is positive.\nAnswer: p**(-83\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 109.4, -5, 651.\nAnswer: -5, 109.4, 651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s**2 - 31*s + 34. Let r be (-1 - (-30)\/12)\/((-3)\/(-22)). Let c be o(r). What is the greatest common divisor of 196 and c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001983103383 rounded to 5 decimal places?\nAnswer: -0.00198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4 + 3)*(-x - 2*x + x)*(2*x - 2*x + 3*x)*(-4*x - 2*x - 2 - 3*x) as j*x + d*x**3 + u + o*x**2 and give d.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(4\/5)*u*u*u**(1\/4))**(-1\/45) assuming u is positive.\nAnswer: u**(-61\/900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.13 + -0.23. Which is the smallest value? (a) x (b) 0.7 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 20 = -8*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 4*j**3 + 34*j**2 + 71*j - 11. Give k(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 3*q - 200, 0 = -3*i - 24*q + 21*q - 96. Put i, -2, -5, 3 in increasing order.\nAnswer: i, -5, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 4*h - 0*n + 24, 2*n = -h - 11. Let z(w) = 5*w + 15. Let s be z(h). Suppose -4*u + c + 2539 = s, 3180 = 5*u - 0*c + 5*c. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, 0, 9\/7, -0.4, 2\/49?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r**2 + 14*r + 7. Let k be g(4). Solve -j = -10 + k for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -36*r**3 + 3*r**2 + r + 7. Suppose 17 = 3*z + 26. What is the hundreds digit of w(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 15190*c. Let a(b) = 2*b - 2798. What is a(q(u))?\nAnswer: 30380*u - 2798","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 10*s + 268 = 0. What are the prime factors of s?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -36*n - 8. Let i be k(-4). Let a = i + -260. Let t = a + 567. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 60\/(-11)*(-15510)\/(-1410)\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51*48.\nAnswer: 2448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.1 + 21.5.\nAnswer: 20.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.102 - 23.852. Let d = n - -23. Let t = d - -0.7499876. Round t to 6 decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -129293\/261 - -4459\/9. Let y = 148\/455 - 6\/35. What is the nearest to c in -0.5, 0.5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7075448051?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -62 + 50. Let p be 1 + -1 + (-24)\/r. Sort p, -2, 0, 1 in descending order.\nAnswer: p, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 17. Let x(g) = -g**3 + 6*g**2 - 4*g - 3. Let w be x(z). Suppose -663 = -5*n + w*k - k, -2*n + 260 = -3*k. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 - 21. Let p = -2.2 + f. Sort p, -4, 2\/5.\nAnswer: -4, p, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -3*s + 3737 + 1561, -a = -2*s + 3527. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2. Suppose 0 = 34*i - 37*i + 9. Let q(p) be the second derivative of 0*p**2 + 0 - p - 1\/3*p**i. Give y(q(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/5 and 1614 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + (-6 + 8 - 22) - 25.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 438377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -56132613 (base 7) to base 15\nAnswer: -65b959","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/4 of a litre in millilitres?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of 11\/3*z**3 + 0*z - 17 + 9\/4*z**4 + 11\/2*z**2. Let p(y) = 3*y**3 + 4*y**2 + 4*y. Calculate 11*p(i) - 4*x(i).\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 10:35 AM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u + 5*u - 1010 = -1100 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 408*n - 3684. Determine t(9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2221*c - 17712. Determine n(8).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 116, 48, -64, -214, -396, -604, -832?\nAnswer: -1074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from itiiiimmiiimmimmt. What is prob of sequence itmt?\nAnswer: 9\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5262*n**3 + 20*n**2 - 1281?\nAnswer: -31572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**3)**(12\/7))**(-2\/79)\/((q**(4\/7)*q)\/q**(9\/7))**(-5) assuming q is positive.\nAnswer: q**(718\/553)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-336)\/(-784)*(-14)\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14402?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -61.9 * -0.2\nAnswer: 12.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 5*a. Let p(n) = -n**3 + 10*n**2 - n + 12. Let q be p(10). Let s be j(q). Differentiate -5 + 3 - s*x + 11*x wrt x.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/4)\/(5\/8). Let x(o) = o**3 - 3*o**2 - 4*o + 1. Let f be x(4). Suppose -l + 4 = f. What is the closest to y in 0, 0.2, l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 38772.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*d - 260*d + 3016 = 0. Solve 0 = -2*t + 14, -d*i + 5*t - 38 = -5*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-one fifths of a centimeter?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 3 + (-15 - -15). Let l be x\/(2 - 8\/(-1)). Solve -1\/5*o + l - 1\/5*o**2 = 0 for o.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of d**8\/10080 + d**5\/20 + 2*d**2. Let g(z) be the third derivative of l(z). Let b(r) = 2*r. What is b(g(j))?\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b7c (base 14) in base 12?\nAnswer: -2a96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-1) - (-7 - (-80)\/72). Put g, 32, 0.5, 0 in ascending order.\nAnswer: g, 0, 0.5, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 192397\/(-19194) - (344\/(-48) - -7)?\nAnswer: -69\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + 63. Let u = 36 - f. Let m(z) = -6*z - 2. Let c(y) = -96*y - 33. Determine u*m(a) + 2*c(a).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1339 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14898 - 2*w**4 + 3*w**3 - 2*w**2 + 9*w**4 + 14900 to the form v*w**3 + x*w**2 + h*w + g*w**4 + j and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -108 - -103. Which is the closest to 1? (a) d (b) 4\/11 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 0, 1, 1\/7, -0.5, 19, 103664?\nAnswer: 103664","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2266 and 659818.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 0.043 (c) -10 (d) -1\/5 (e) 2 (f) 15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 12145 - 3415 = 0. Let o = c - 776. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-4)*(9\/9 - 7901). What are the prime factors of h\/75*3\/4*2?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + j + 1 + (3 - 2 - 3)*(2*j + 2*j - 6*j) + 2*j + 4*j - 4*j + 0*j - 2*j + j + 3*j + 0*j + 0*j)*(2*j**4 - 4*j**4 + 0*j**4).\nAnswer: -18*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/8 + 1\/12. Suppose -20 = 4*d - 3*z + 6, -4*d - 30 = -5*z. What is the nearest to -0.1 in d, 5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10619041607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - ((2 - 11) + -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 35 = -0*v - 2*v, -2*v - x = -5. Suppose -5*f + 2 = -v*n - 33, -3*n = 4*f - 7. Suppose -5*s = -f*q - 48, 17 = 4*s + 2*q - 37. Is s != 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3220 and 3767492?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 27092928.3 to the nearest ten thousand.\nAnswer: 27090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3332?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w - 3. Suppose 6*p = 4*p - 12. Determine h(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 21. Suppose 0 = -2*c + 9 + v. Suppose c*q = 3*q - 25. Let x(t) = 1. Let z(s) = s - 3. What is q*x(j) - z(j)?\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*r - 15*r - 859 = -427 - 2967 for r.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 46.1 and 0.3.\nAnswer: 46.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*i + 24*i - 1120 = 5*m, -3360 = -3*i - m. Calculate the greatest common factor of i and 665.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/((-80)\/3))\/(146\/584). Which is the third biggest value? (a) 5\/3 (b) 1 (c) 9\/2 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -27bc1 - 1?\nAnswer: -27bc2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 170, -1\/2, -2, -10\/97, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.11 + -0.1. Let s = -0.09 - m. Which is greater: s or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -11 - 10\/(-12)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 5 - 3)*(0 + 0 - 2*v) + (1 + 2 - 1)*(-2*v + v + 0*v))*((-1513 + 752 + 752)*(-3 + 0 + 4) + 0 + 4 - 6).\nAnswer: 44*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 95*m + 37. Let z be k(-4). Let y = z + 709. Suppose 1304 = 5*a - y. What is a rounded to the nearest 10?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*w = 124*w + 15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 204\/5 - 4259\/105. Let y = -22\/21 - w. Which is the third smallest value? (a) 0.1 (b) y (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 21*u + 68. Calculate t(7).\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 4 + 0)*(-14*k - 8 + 8) - 2*k + 0 + 0)*((-3*k + 6*k - k)*(6 - 4 - 4) + 3*k + 2*k - 6*k - k - 2 + 2).\nAnswer: 180*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 52 = -4*p, 68*p - 184 = -2*p + 4*t for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 246446970 to the power of 1\/2, to the nearest integer?\nAnswer: 15699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3 - 1044*c**2 - 55185*c.\nAnswer: -3*c*(c + 65)*(c + 283)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of m**4\/12 + m**3\/2 - 112*m**2 - 13001*m. Determine j(-17).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1760?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1154*z - 1156*z - 28 + z**4 - z**3 + 30 - 7*z**2 to the form n*z**2 + o*z**3 + r*z + u*z**4 + p and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 21 - 25. Let t(o) = o**4 + o - 1. Let h(b) = 2*b**5 + 5*b**4 - 28*b**3 - 5*b + 5. Let k(s) = d*h(s) + 5*t(s). Factor k(c).\nAnswer: 2*c**3*(c - 2)*(c + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 165537 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 318 + -221. Suppose -92 = 4*i + 5*l, -5*i = -l - 11 + s. Let a be ((-55)\/15)\/(2 + 38\/i). Is a less than 33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19583525803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 318, 601, 884, 1167, 1450?\n\"Answer: 283*x + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/11*(-166)\/415. Which is the biggest value? (a) -1\/4 (b) r (c) 0.079 (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 - 29. Suppose b = 2*h - 0 + 4. List the prime factors of (5\/10)\/(h\/(-244)).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -75 * 2510.7.\nAnswer: -188302.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j. Let q(v) be the third derivative of 40*v**2 + 0 + 19\/24*v**4 + v + 0*v**3. Give g(q(b)).\nAnswer: 57*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 5*w - 48, -862*w + 2*u + 47 = 866*w - 1723*w - 0 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/sqrt(2) + (sqrt(110)\/(sqrt(30)\/sqrt(3)) - sqrt(11)) - (-5 + (sqrt(11) + 1 - sqrt(11))**2 + 4).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7a253c + -5?\nAnswer: -7a2544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132428 is divided by 62.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 464538.2 centuries in decades?\nAnswer: 4645382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 18030?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 4 = h. Let o(r) = -9*r - 1. What is the least common multiple of o(h) and 21 + (-1 - -2*1)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -137*t**2 + 5746*t - 5746*t to the form n*t**2 + y + g*t and give n.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -5 + 11 + (-100 - -95) - 90.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-2 - -5) + -5 - -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 i when two letters picked without replacement from lliillilllliilll.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-2 + sqrt(1377) - sqrt(1377)) + -2)**2 - (4*(1 + sqrt(1700) + -4))**2.\nAnswer: -27280 + 960*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 581734 to the power of 1\/2, to the nearest integer?\nAnswer: 763","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 7*o**2 - 51*o. Give f(6).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + c + 28 = 0, 0 = 3*a - 99248*c + 99244*c + 3 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1444431211 (base 5) to base 16\nAnswer: 3b969d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/620 and -13\/16058.\nAnswer: 160580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g + 0*g - 2*g)*(-40*g**2 - 21*g**2 + 7*g**2).\nAnswer: -54*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qlqirlhh. What is prob of sequence qq?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**2)**(-46)\/(a**(-2)\/a)**(-22) assuming a is positive.\nAnswer: a**(-158)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-65)\/(47385\/(-28458)) + -31?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/34 + (-4402)\/24140?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 4*v**2 - 4*v - 5. Let u be b(5). Suppose u*s = -s - 1. What is the units digit of (s + 0)\/((-2)\/32)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = 5*x - 30 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 20, -2*k + 3*k = r + 7. Let a be (2 - 1)*r\/1. Let g be (3 + a)*(-1)\/2. Sort g, 7, 5.\nAnswer: g, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 1726?\nAnswer: -1727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = u - 9 - 3, -5*m = 5*u - 90. Suppose u - 1 = 15*v. Solve -3*q - 10 = -v for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1211111 - -12121012112?\nAnswer: 12112101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*o + 1264 = -512, -2*g + 1784 = -3*o. Calculate the highest common divisor of g and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.021 + -0.079. Let i = 0.4 - p. Let t be 1*(1 - 28\/26). What is the smallest value in t, i, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 25395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-390)\/(-6)*3\/5. Let f = 42 + s. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 10:27 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -46*w**2. Let f(l) be the first derivative of 5*l**2 - 4741. Give k(f(p)).\nAnswer: -4600*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2980 - 439. List the prime factors of t.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 14 + (2 - -1 - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -425.021 - -419.4. Round r to zero dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q**3 + 18*q**2 - 3*q + 48. Let h(g) = -8*g**3 + 52*g**2 - 9*g + 128. Let z(y) = -11*d(y) + 4*h(y). Determine z(-10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + r = 888, -4*r = p + 492 - 66. What is the hundreds digit of p\/(-3) + (4 - 52\/12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -5*g + 8, -4*y - 8 = 5*g - 4*g for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -18957 - 4*x + 9479 - 4*x + 9478. Let y(b) = 11*b**2 + 26. Give y(o(t)).\nAnswer: 704*t**2 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*k = -4 + 23 + 38. Let t(m) = 88*m - 1. Calculate t(k).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -105214141 (base 7) to base 12\nAnswer: -2182267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41\/23 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1837)\/(-8954))\/(140\/110) - (-4)\/(-74)?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sryrrrrrrzzssrry. Give prob of sequence zzs.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.08? (a) -3\/2 (b) 0.255 (c) 2\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12656.96 + -12657. Which is the nearest to -3\/5? (a) l (b) 0.3 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2436)\/(-42) - 18 - -20?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x = 2*a, a - 5*x = 4*a - 3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 9*x - 39. Let h be o(5). Let r(s) be the first derivative of 0*s**3 - 2 + 0*s + 3\/5*s**5 + 1\/6*s**h + 0*s**2 + 1\/2*s**4. Factor r(n).\nAnswer: n**3*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-36)\/24 - (-4683)\/(-6). Let d be 6\/27 - s\/207. Suppose 9*t - 4*t = 20. Solve d*h = -f - 0 + 17, -t*f = -20 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 5:05 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 u when two letters picked without replacement from rufyfffaf.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/9*3)\/(5\/60)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 6*k**2 - 10*k + 318. What is h(4)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -0 - 4. Let j = 0 + t. Let g be (-66)\/(-8) + j\/(-4). Solve -c = c - g for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -0.5, -32, -340.25, -4\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7958? (a) 3\/4 (b) -17 (c) -1 (d) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -341 + 341.033. Let l = -0.0330039 + p. Round l to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5122*q - 5118*q - 4*u - 28 = 0, -15 = 5*u for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 41 - (-475 - -442) - -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v + 3. Let q(p) = 7*p - 12. Let l(y) = 4*k(y) + q(y). Let g(z) = -72*z. Calculate l(g(a)).\nAnswer: -216*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + sqrt(25)\/sqrt(5) - sqrt(5)) + 0)*-1*-3 - 4*(1 + (3*sqrt(125))**2).\nAnswer: -4504 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*o*q**3 - 10*o*q**2 - 3*o*q - 180*o wrt q?\nAnswer: 12*o*q**2 - 20*o*q - 3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 0 (b) -5 (c) -18 (d) -4 (e) 13\/6 (f) -0.07\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a - 60 = -12*a. Let g = 69 - a. Let v(c) = 2*c + 1. What is the remainder when g is divided by v(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*p - 521183 + 134663 - 159955. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 218*z**2 - 78*z**2 + 305*z**3 - 61*z**2 - 79*z**2 - 256 wrt z?\nAnswer: 915*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 127*g + 809*g + 626*g - 386*g to k + o*g and give o.\nAnswer: 1176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, y: 1, p: 1, l: 1, n: 2}. Give prob of picking 1 l and 1 y.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 631694837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -46, -174, -390, -694?\n\"Answer: -44*a**2 + 4*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -57*t - 78*t**3 + 94*t**3 - 36*t**3 + 145*t - 58*t**3 wrt t.\nAnswer: -468*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -1, -0.3, -16\/5, -0.4, -7757, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11498, -15909, -23260, -33551, -46782?\nAnswer: -62953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5412580.\nAnswer: 2, 5, 277, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00019192 to 6 decimal places.\nAnswer: -0.000192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -12284*v**2 - 333*v. Let i(d) be the first derivative of 74*d**3\/3 + d**2 - 309. Give -333*i(q) - 2*o(q).\nAnswer: -74*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -17\/2. What is the closest to s in 0.2, -0.2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -o**4 - 791*o**3*q**2 - 21*o**2*q - 7*o**2 + 2*q**2 wrt o?\nAnswer: -24*o - 4746*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2ad - 9?\nAnswer: 2a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-27) - (-80)\/45. Suppose o*n - 146 = -7*r + 2*r, n = -r + 79. What is the remainder when n is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.1554019nm in micrometers?\nAnswer: 0.0001554019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11101110000010001110001 (base 2) in base 14?\nAnswer: -1070773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that s**2 + 3375404*s + 2848338040804 = 0.\nAnswer: -1687702","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g = -5*r + 2, 76*r + 1 = 77*r + g for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.29 - -0.09. Let a = -12 - -11.7. What is the closest to 3\/2 in 0, u, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32 + 37. Let b(q) = q**3 + 13*q**2 - 7*q + 12. Let z be b(-12). Suppose -5*x - p*x = -z. Is x a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*i - 2*i + 0*i + (-7*i - 6*i + 3*i)*(6 - 3 - 1) in the form b*i + s and give b.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77945?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -30544, -30543, -30542, -30541, -30540?\n\"Answer: i - 30545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -4*r**3 + 6*r**2 + 6. Let j(x) be the first derivative of -3*x**4 + 17*x**3\/3 + 17*x + 7. Calculate 17*i(z) - 6*j(z).\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3556.3 plus -613663527?\nAnswer: -613667083.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28 + 30. What is the derivative of 154 - 51 + 27*w**r - 77 wrt w?\nAnswer: 54*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4\/7 (b) -2\/11 (c) 71277\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*u - 12033 - 3699. Is u a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -71 - -38 - (-46 + 4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 + 3459696*y**2 + 138385440*y + 1383846400.\nAnswer: 2*(y + 20)**2*(y + 1729808)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -8954\/181 and -48 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25687\/226820 - 2\/5155. Are x and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*d + 7030 - 7822 for d.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -7. Let a be 2*(-1 + o)\/2. Let p be 2 + (7 - (2 - a)). What is the highest common divisor of 24 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5502*g**3 + 3423*g**2 + 5706756*g + 58 wrt g.\nAnswer: 33012*g + 6846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 766*t + 697*t - 2127*t + 731*t + 3886 = 0 for t.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*x + b, -5*x + 2*b = -x - 10. Solve 5*f + 4*h + 7 = 0, 2*f = -2*h - x*h - 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*q**5 + 0*q**4 - 3*q**4 - 7*q**2 - 3*q**2 - 16*q**3 + 15*q**5 - 2*q**2.\nAnswer: q**2*(q - 6)*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/62604 and -87\/188.\nAnswer: 62604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-236)\/(-295) - 58\/85\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 2*n**2 + 71*n - 10. Give t(8).\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by -33716.\nAnswer: 7\/16858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.48, -0.4, 819, 1\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -1213210022300?\nAnswer: 1213210022230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 10*x**2 - 21*x + 23. What is the lowest common multiple of 9 and z(-11)?\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -2*r + 3, -592*n + 3*r - 5 = -597*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 u when two letters picked without replacement from ycruuyuucwrcyyrccru?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.63343 rounded to 2 decimal places?\nAnswer: 0.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1+-3816670771472\nAnswer: -3816670771471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 6 = 8*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 717*h*y**2 + 17*h*y - 93*h + 34*y**2 - 41*y - 903441 with respect to y.\nAnswer: 1434*h*y + 17*h + 68*y - 41","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a**(1\/11)*a)*a**(-2)\/a*a*a*a*a\/(a\/((a**(-7)\/a)\/a))*a**(4\/7) assuming a is positive.\nAnswer: a**(-656\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - v - 1 + 0 + (16*v + 42*v + 88*v)*(-2 + 3 - 2).\nAnswer: -147*v + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*o = 110*o + 544 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 14. Let z be g*(-2)\/(32\/(-12)). Solve -z*s + 3 = y, 3 = -0*s - s + y for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 7*k + 3*k)*(-2 + 64*k**2 - 1267*k - 63*k**2 - 1 + 5).\nAnswer: 11*k**3 - 13937*k**2 + 22*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3234.01 take away 1.5?\nAnswer: -3235.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 8:50 AM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 18, -4, -4824.22.\nAnswer: -4824.22, -4, -3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 8 = -5*p, -2*p + 2*k + 3*k = -12. What is the closest to p in 3, -3, -20?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 3*b - 37. Suppose 53 = b*y - 55. What is the remainder when y is divided by -1 - (1 - (1 + 6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 0. Let q = -4 + 6. Is q at least b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.3, 3, 238, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006449550324 to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2*p - p**3 - 8*p**2 + 34*p**2 - 15*p**2 - 9*p**2 to the form c + i*p + w*p**3 + x*p**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + y + 6. Let n be 21\/(-6) + 2*2. Put y, n, -3 in ascending order.\nAnswer: -3, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 - 103 = 5*g. List the prime factors of ((-164)\/12)\/(5\/g).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + k + 3*k)*(42*k**2 - 27*k**2 - 38*k**2).\nAnswer: -92*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**3 - 4*x**2 - x + 2. Let s be (9 + -3)\/(6\/4). Let a(p) = -2*p + 6. Let w be a(s). Let m be n(w). Solve -m*h - 25 = -9 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirty-four fifths of a tonne?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5311, 42252, 142549, 337882, 659931, 1140376, 1810897?\n\"Answer: 5280*s**3 - 2*s**2 - 13*s + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2*k**5\/15 + 2398*k**4\/5 - 471408*k**3 + 1056049568*k**2\/15 = 0?\nAnswer: 0, 181, 1708","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 5 = -2*m. Solve 0 = m*c - 3 - 1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -5*r - j - 26, -40*r = 5*j + 170. Suppose -2*o - 2 = -20. Let n be (6\/o)\/(2\/3). Which is the biggest value? (a) r (b) n (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1891681, 1891663, 1891645, 1891627?\n\"Answer: -18*b + 1891699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from neleznelellnnlnen.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (970\/12125 - 748\/(-25))\/(-1).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 490951103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 194855 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -297, 5, -17, -260 in decreasing order.\nAnswer: 5, -17, -260, -297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + f - 1)*(3 + f**2 + 0*f**2 - 5) to x*f**3 + m*f + j*f**2 + n and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.23 - 2.77. Let r = 35\/3 - 11. Which is the nearest to r? (a) 4 (b) h (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 166263, 332541, 498793, 665007, 831171, 997273, 1163301?\n\"Answer: -2*g**3 - g**2 + 166295*g - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 12:57 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a gram in milligrams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -109703637, -109703638, -109703639, -109703640, -109703641, -109703642?\n\"Answer: -v - 109703636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 12*n**2 + 25*n + 192. Let q be p(-12). What is the highest common divisor of 54 and q?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**5 + 16*a**4 - 76*a**3 + 80*a**2.\nAnswer: a**2*(a - 2)**2*(a + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 11, d: 1, x: 1, p: 1, t: 2, f: 3}. Give prob of sequence gd.\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 975094957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 4*u - 13 = -7, u - 41 = -9*q - 17 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/36 + (-948)\/108. Let j(l) = -112*l - 296. Let v be j(k). Calculate the greatest common divisor of v and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*r = -2*r - 6897. Let i be r\/(-55) + 7 + 4\/(-10). Solve 5*a + 0*a + 5*s = -5, i = 3*a - s + 11 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 5*d = -5*s + 2305, -5*s + 2275 = d. Calculate the remainder when s is divided by 51.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1661 and 71839?\nAnswer: 71839.1661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*t = -38*t - 1846. Suppose -t*b + 3091 = -131*b. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(260)*-3)\/(sqrt(35)\/sqrt(175))*-1.\nAnswer: -180*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/39 and -17\/45054.\nAnswer: 585702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (45\/10)\/(2\/28 - 0). Let l = t - 61. Find the second derivative of 7*k**2 - 7*k - l*k**2 - 9*k**2 wrt k.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.5 + -0.1. Let i = 1.8 + w. What is the third smallest value in i, 2\/9, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a**3 + 34*a**2 - a + 13. Suppose -n = k - 54, -3*k + 2*n + 78 = -64. Let y = k + -35. Is o(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-76)*912\/(-1368) + 2 + 1779\/(-836).\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 less than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**2\/9 - 1362460*w\/3 + 57222928\/9 = 0.\nAnswer: 14, 2043676","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -10*z**2 - 11*z + 5. Let m(k) = -k**2 - 2*k + 1. Let i(x) = 5*m(x) - p(x). Let u(h) = -2*h. Calculate i(u(n)).\nAnswer: 20*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 2415.8\nAnswer: -2411.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 42002386549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 403 and 2046.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-10))\/1*(-45)\/(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - 3*i + 2. Let k be y(3). Suppose 114 = k*v + d, 77 = 5*v + 2*d - 207. Calculate the greatest common factor of v and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 45 = -10*x. Suppose x*d = d + 3. Calculate the remainder when (d\/2)\/((-6)\/(-2 - 286)) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - r = 4*b + 20, -8 = 2*b for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 379, 418, 457, 496?\nAnswer: 535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 433 + 109. Does 6 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000007557531292 rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 481721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a + 3*a + 0*a + (3 + a - 3)*(-1 + 0 + 0) + a - 2*a + 2*a + 0*a - 6*a + 2*a + a - 2 + 2.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + -1)\/(10 - 11). Let f(o) = o**2 + 2*o + 2. Let v be f(x). Suppose v*q - 3*t - 1066 - 102 = 0, -q - 2*t = -591. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 5*j + 800, -3*t - 724 + 124 = -3*j. Let w = t - -338. List the prime factors of w.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12881 is divided by 2554.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2960 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(-12) + (-1)\/3. Let z(h) = -19*h + 188. Let g be z(10). Put n, 3\/2, g in increasing order.\nAnswer: g, n, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24129175 and 120645875?\nAnswer: 120645875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 272 and 20468\/75 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qhyyuslh. Give prob of sequence llyy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16\/209 - -2\/19. What is the second biggest value in 1, o, -16?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 158542, 158506, 158492, 158512, 158578?\nAnswer: 158702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 8*w**2 - 4*w - 9. Let a be g(5). Let b = 119 + a. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1372, -2751, -4142, -5551, -6984, -8447, -9946?\n\"Answer: -t**3 - 1372*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/((s**(-3\/8)*s*s)\/s))\/s)\/s**(1\/16))**(4\/19) assuming s is positive.\nAnswer: s**(-11\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*n**2 + 16*n**2 - 64 + 32*n + 0*n**2 + 3*n**2 + 4*n**3.\nAnswer: 4*(n - 1)*(n + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6768, -13594, -20448, -27330, -34240, -41178?\n\"Answer: -14*d**2 - 6784*d + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 - -22. Let i(p) = -33*p + 14 - 16*p + p - 27. Is i(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/5)\/(1\/(225\/(-30))).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 96018 and 429?\nAnswer: 1056198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8458977899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -9*n**4\/4 - 69*n**3\/4 + 1017*n**2\/4 - 2811*n\/4 + 468 = 0.\nAnswer: -16, 1, 3, 13\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 58\/(-8) + 8 - (-5)\/4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5814 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1210 - 4839\/4. What is the nearest to 0 in 0.02, 1, f, 1\/7?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7861026*h**2 + 2167314*h wrt h.\nAnswer: 15722052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -109, -115, -109, -85, -37, 41, 155?\n\"Answer: w**3 - 13*w - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20754 and 24213?\nAnswer: 145278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-2))\/((-64)\/(-43264)). Suppose -i - n = -2*g, -5*i - 1358 = -4*g - 6*i. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.980583449 rounded to 4 dps?\nAnswer: -0.9806","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -252, -252, -254, -258, -264?\n\"Answer: -b**2 + 3*b - 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8350, 8347, 8344?\nAnswer: 8341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -654*l**5 - 7*l - 22.\nAnswer: -13080*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 14)\/(30\/(-10)). Suppose -s*o + 14 = -3*o. Let t be 8\/10*5\/2. Are o and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 4*d**2 + d + 2. Determine y(5).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.03 != -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -68.47517?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -100000011?\nAnswer: 100000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1335 by -267.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6 - 216\/45) + 1 + -2. Which is the nearest to 2\/17? (a) d (b) -5 (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 c when two letters picked without replacement from {j: 1, c: 1, n: 2, s: 1, t: 1, i: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 4*s**2 - 13*s**2 - 3*s**2 + 1 to the form o + x*s**2 + h*s and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 1. Let a be (-18)\/(-4) - k\/2. Factor -d**3 - 2*d**4 - 2*d**a + 3*d**3 + 2*d**4.\nAnswer: -2*d**3*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22071 - -22074. Solve -28*j = q*j - 217 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 3 - 11 + 15*o**2 in the form j*o + x + i*o**2 and give i.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 + -201187378.1.\nAnswer: -201187323.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (6 - 5) - (-2 + 0 + 6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 5*a + 8. Suppose 5*h - t - 6 = 2, -h = -5*t + a. Suppose -18 = -2*k - 5*v, k - 2 = 3*k - 5*v. Solve -h*p + k*p + 6 = 0, b = p for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/10)\/((-4)\/(72\/(-15)))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 26335755 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + t = 0. What is the units digit of 6 - (-2 - t\/4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*k + 1 = 92*k. Suppose 11 = -2*g + 8*d - 3*d, 0 = -4*g - d + 11. Suppose -b = -2*c - 15, c + 2*b - 15 = -g*b. Put 4, k, c in increasing order.\nAnswer: c, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 4*h**2 - 38*h. Let g be l(9). What is the common denominator of ((-111)\/264)\/((-3)\/(g - 0)) and -21\/16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -73*l - 98. What are the prime factors of g(-4)?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/154 and 68\/(-238) + -1 + 701\/616.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 8 = -4*z, -2*o - 11*z + 7*z = -32. Solve -2 = -2*i + o for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354005 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 78822573 and 78822572 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 343*i - 16558. Determine j(-43).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12188 + 12197. Solve 52*a = n - 165 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 17 + 40 = 0. Suppose l - 29 = -2*s. Suppose 0 = -s*u - 4*d + d - 2, -2*d - 16 = -4*u. Solve 0 = -9*f + 4*f + 3*w + 24, 0 = u*f + 2*w for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**4 + 2*u**3 + 25*u**2 - 2*u - 24 = 0.\nAnswer: -4, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17066 a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 5*a - 20 = 0, -3*d + 52 = a - 6*a. Find the second derivative of 10*s**3 - d*s - 9*s**3 - 10*s wrt s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**4\/5 + m**3 + 2*m**2\/5 - 24*m\/5 = 0. Calculate m.\nAnswer: -2, 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x = 7*x + 3*q - 14, 0 = -x - 3*q + 16. Which is bigger: x or 2\/2405?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -2*v + 51. Let h(f) = -3*f - 49*f + 29*f + 6 - 52*f. What is the remainder when h(-1) is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 8*a**2 + 7*a + 2. Let i be p(-7). Let m be i\/5 + (-36)\/(-10). Solve 3*r - 2*n - 3*n = -32, -m*n = 4*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*k = -30*k + 3*a + 696, -2*a = -k + 235. What is the remainder when k is divided by 31?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 82108 and 110163672.\nAnswer: 6316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 41579033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 390 is divided by 81?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 2*x - 6*x = -15, -4*c + 3*x = 20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 259, 52, -303, -812, -1481, -2316?\nAnswer: -3323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (104 + -2)) + (-107 - (-54 - 56)).\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -174\/13 or 52?\nAnswer: -174\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -435, -872, -1309, -1746, -2183, -2620?\nAnswer: -3057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2\/3 - 347*g\/3 - 390.\nAnswer: (g - 90)*(4*g + 13)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 372141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 0) + 3 + -7 + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a micrometer in nanometers?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r - 11. Let h(c) = 13*c - 44. Let b(o) = 2*h(o) - 9*s(o). Suppose 0*a + 3*a = 36. Suppose 11*j + a = 13*j. Give b(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 7:33 PM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.924495304 to 0 dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-6*sqrt(156)\/sqrt(12))**2 + 3.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -2*p + 10 + 6, -2*p + 22 = -5*f. Suppose -2*t = p*t - 80. Calculate the remainder when ((-114)\/10)\/(1\/(-5)) is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (144\/16)\/(3\/(-21)).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10379239 divided by 6\nAnswer: -10379239\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 150 - 112. What is the remainder when 112 is divided by r?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**2 + g**2 + 127*g + 9*g - 328*g - 19*g.\nAnswer: -2*g**2 - 211*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**2. Suppose 6*c = 10*c - 8. Suppose 2 = 2*p - c. Let y(l) = -p*l - 10 + 10. Calculate q(y(a)).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 8*v - 2*v**3 - 3*v - 6*v**2 - 1 - 10*v. What is the remainder when d(-4) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*u = 10*u + 33*u + 216 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -4*(-2 + -1 + (sqrt(147) - (sqrt(147) + (sqrt(147) - -1*sqrt(147)))*-3)))*2)**2.\nAnswer: -38080*sqrt(3) + 941956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48034470 by -3102.\nAnswer: 15485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -12*o**2 + 8*o + 17. Let q(p) = 13*p**2 - 4*p - 17. Let h(v) = 2*q(v) + 3*r(v). What is h(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 12522*g - 9485. Let n be j(-15). What is n rounded to the nearest 1000?\nAnswer: -197000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129395 is divided by 157?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-22\/3)*(x\/(x**31\/x)*x)\/x*x**(3\/4)\/x*x*x*x**(-17\/2) assuming x is positive.\nAnswer: x**(-517\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*f + 561 = -4600, 0 = -4*s + 2*f + 10282. What is s rounded to the nearest one hundred?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -7*w. Let m(r) = 39*r - 14. Let y(p) = -17*p + 6. Let x(b) = -6*m(b) - 14*y(b). Suppose d + 3*d + q = -17, 8 = -4*d - 4*q. Calculate d*x(j) - 3*n(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.6 - 0.7. Let b = j - -31.1. Let p = 28 - b. Do 1 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + v + 0 - 3 = 0, -19 = 5*s + 3*v + 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -459*d + 31 + 43*d - 65 + 34.\nAnswer: -416*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 165\/184 - 12\/23. Let w = -31\/673 + -1191\/3365. Which is the nearest to -1? (a) w (b) 2\/13 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zw when two letters picked without replacement from {w: 3, q: 3, z: 3, j: 3}?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 6 = -45*f + 41*f, f + 4 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120 and 4667100?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*p + 70 - 57 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -16 + 8 + -4 - (1 + -9)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 16707139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -7069325 - 2?\nAnswer: -7069327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4685, 17445, 38267, 67145, 104073, 149045, 202055, 263097?\nAnswer: 332165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*u + 10 + 18. Suppose -u*f = -34 + 22. Solve x + 0 - f = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12746.62 - 12587. Let p = q + -160. Which is greater: p or -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 14*i + 62. Let g(v) = -5*v - 21. Let s(d) = -17*g(d) - 6*u(d). Let l be s(21). Solve -20 = z - l*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1da83 (base 14) in base 4?\nAnswer: -102212003","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 1966?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*j + 15*j + 26*j**2 + 7*j wrt j.\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 5*a - 20 = 0, 372*h - 371*h - 9 = 2*a for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 92653090?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/5))**34\/(a**(-2\/15)\/(a**(2\/9)\/a)) assuming a is positive.\nAnswer: a**(-641\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -c**2 + 0*c**3 + 1\/12*c**4 + 0 + 3*c. Differentiate k(j) wrt j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j**6 - 94072*j**4 + j**3 + 9317*j**2 + 11*j - 4.\nAnswer: 240*j**3 - 2257728*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -16, 536 in ascending order.\nAnswer: -16, -3, 536","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.794217246 to three decimal places.\nAnswer: 5.794","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125832057?\nAnswer: 3, 13, 23, 140281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000762345668 to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m - 5. Suppose 4 = j - 2*a - 3, -3 = 3*a. Let w be y(j). Solve w = -2*c + 2 - 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -334 - -320. Let d(q) = q**3 + 15*q**2 - 14*q - 16. What is the tens digit of d(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 40\/399?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 11) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 412620235*z**3 - 157093*z + 169.\nAnswer: 2475721410*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence csnm when four letters picked without replacement from {n: 2, s: 3, m: 9, c: 4}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 25*c**2 - 13*c + 19. Let q(w) = -w + 31. Let a be q(11). Is r(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25635 and 45.\nAnswer: 76905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 6*l**2 + 6*l + 4. Let q(u) = -u**3 + 4*u**2 - 13*u + 40. What is the lowest common multiple of y(-4) and q(3)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 99\/15 - (-4)\/1.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*u + 6*u = -3, 0 = 2*m + 5*u + 4. What is the second derivative of -4*k - 3*k**3 - 3 + 3 - m*k**3 wrt k?\nAnswer: -36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/10*(-60)\/3. Let v be 21\/(6\/a*-2). Does 20 divide 556\/v + (-6)\/(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -286471 times 0.4?\nAnswer: -114588.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27964072.\nAnswer: 2, 53, 101, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1 (b) -5\/177 (c) 3 (d) -5 (e) 0.5 (f) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 63*h**3*u*z + 6986*h**3*u + 11*h**3 - 181*h**2*u*z - h**2 + 2*h*z wrt z?\nAnswer: 63*h**3*u - 181*h**2*u + 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140325 + 280663 + 4*m**3 - 140338 - 3*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -502, 0.2, -2, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3172635043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -9942 bigger than -9971?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3288 and 144.\nAnswer: 19728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 12. Suppose 3*i = -i + 12. Suppose i*y + p - 73 = 0, -2*y - n*p + 119 = 3*y. Calculate the remainder when y is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, 0.5, -1\/7, 1\/15?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -630 in descending order.\nAnswer: 4, -1, -630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14983890.\nAnswer: 2, 3, 5, 37, 13499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(17) + sqrt(17) + (3*(sqrt(17) - sqrt(425)))**2) - sqrt(68)\/(3*sqrt(12)\/sqrt(3) - sqrt(4)).\nAnswer: 7*sqrt(17)\/2 + 4896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2365.\nAnswer: 5, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5460.813 and 224.\nAnswer: -5236.813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22 + -322?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**2 - 4*h**2 + h**2 + 4*h**2 - h**2 - 5*h**2 + (1 + 1 - 4)*(-3*h**2 + h**2 + 3*h**2) - 13*h**2 - 11 + 11.\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7244 - 1995. What is the thousands digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = 44*o - 258 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 - -22. Which is greater: 1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 368*-409502.\nAnswer: -150696736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8401.89 milligrams to grams.\nAnswer: 8.40189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rj when two letters picked without replacement from pjueejepjruujjjju?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 8800 = -8*c - 5*x, -4*c - x = -11705. What are the prime factors of c?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n - 32 = -20*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -1\/2 (b) -33 (c) -6\/5 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -9291840.8 to the nearest ten thousand.\nAnswer: -9290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*y - 11*y - 11*y + 1.\nAnswer: -44*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 102, 1\/4, 0.4, -92, 1\/7?\nAnswer: 102","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -4*a**3 - 17. Give t(-3).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/(-14))\/(12\/(-42)). Let n(t) = -t - 3. Let c be n(-3). Let w = b - c. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 15) to base 12\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27*u**3 - 14*u**3 + 216*u**3 + 191*u**2 - 67*u**3 wrt u.\nAnswer: 648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20795383, -20795384, -20795385, -20795386, -20795387, -20795388?\nAnswer: -20795389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 2*s + 2. Let n(f) = -983 - 988 + 1972. Calculate 2*n(y) - x(y).\nAnswer: y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 4 + (sqrt(72)*1*5 - (sqrt(72) + -3 + 5))**2 + 0.\nAnswer: -96*sqrt(2) + 1156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -108753319*t**5 - 117*t**2 + 1538063*t.\nAnswer: -6525199140*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*o**3*p**2 + 186*o**3 + 24*o**2*p**2 + o*p - 6*o with respect to p.\nAnswer: -32*o**3*p + 48*o**2*p + o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of -x**8\/2352 - 17*x**7\/735 - 349*x**6\/840 - 17*x**5\/7 - 75*x**4\/14 + 1693*x**2. Suppose c(v) = 0. What is v?\nAnswer: -15, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8981013029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**1)**(-36\/11) assuming t is positive.\nAnswer: t**(-72\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 250*g - 201*g - 243*g - 2 to the form k*g + p and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 2:07 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 127136458 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-6*(-5 + (-5*sqrt(117)*-1*-4*-2)**2 + 2).\nAnswer: -2246364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-30)*93\/124?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 1:57 AM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/6)\/((-1)\/6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5775?\nAnswer: 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114771214 is divided by 11041.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-546)\/(-42))\/26)\/(69\/(-9)*1)?\nAnswer: -3\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -164794 greater than or equal to -164792?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3359*r. Let c(y) = 4*y. Determine u(c(d)).\nAnswer: 13436*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8086, 16185, 24320, 32509, 40770, 49121, 57580, 66165?\n\"Answer: 3*z**3 + 8078*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 0*j + 3*j - 5*j. Let z(p) be the second derivative of -p**3\/3 + 5*p**2\/2 - 6*p. Let r(g) = 6*g - 14. Let y(f) = -5*r(f) - 14*z(f). Determine y(d(i)).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 5*z**2 - 9*z + 40. Suppose 4*b = -39 - 41. Let d be k(b). Suppose -d = -5*y + 5*p, 3*y - 953 - 375 = -p. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 35 = -9*l. Solve -x = i + 3, 4*x - x - 16 = l*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3140*g - 1337636. What is o(-426)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 4 - (14 + -8 - (8 - -12)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 767341973 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -198 and 83.35.\nAnswer: -16503.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 20649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -102*u**3 - 5*u**4 + u**2 + 11*u + 3*u**4 + 104*u**3 to t*u + y*u**4 + j*u**2 + m*u**3 + v and give t.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*((-3)\/(-6))\/(-1). Let j be 10\/(-45) + 914*s\/(-18). Let z = j + 51. Solve z*q = -3*q + 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*i + 3867 = 4*i + 11466. Calculate the remainder when 905 is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 520237.\nAnswer: 23, 22619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78866510?\nAnswer: 2, 5, 1429, 5519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 17 (b) -3\/4 (c) -3 (d) 0.69\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eleven eighths of a gram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/7)*c)**25\/((c\/((c\/(c**5\/c))\/c))\/(c*c*c**10*c)) assuming c is positive.\nAnswer: c**(181\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -2548, -15.\nAnswer: -2548, -15, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, m: 5, q: 7}. Give prob of picking 1 m and 1 q.\nAnswer: 35\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fwbjbwbbwjfwbfbbjbbw. Give prob of picking 1 w, 1 f, and 1 j.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 65 = -2*l, -60 = -2*l - 7*a + 3*a. Suppose 4*s + x = l, -3*s = -s - x - 4. Calculate the greatest common factor of s and 256.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nr when two letters picked without replacement from {w: 1, n: 13, r: 1}.\nAnswer: 13\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.4, -9, 0.04, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)*1*-6*-2)\/(sqrt(10) + sqrt(120)\/(sqrt(24)\/sqrt(2)) + sqrt(110)\/(sqrt(22)\/sqrt(2))).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8092 and 1070456?\nAnswer: 1156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 223179\/5650 + -2\/2825. What is the common denominator of -45\/7 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12469022\/15 + 830949. Let t = v - -319. What is the closest to -2\/3 in t, -3, 2\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 804518715 a multiple of 273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4416 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 500208.\nAnswer: 500208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 274 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 7 + 2. Let n be 153\/j*(-1 + 1 - 1). Let t = n - -83. Calculate the smallest common multiple of t and 7.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, j: 1}. What is prob of sequence ljl?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 430 - 655. What is the tens digit of ((-4)\/(-12))\/((-3)\/q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 694 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 690 less than 691?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 4 + (-4 - 1 + 2)*(4 - 5 + 2) + 13 - 3 + 14)*(d + 2*d - 2*d).\nAnswer: 23*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 304443194*i**5 - 1040*i**2 - i + 2672 wrt i.\nAnswer: 18266591640*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 253 - 1267*w - 1274*w - 1266*w - 1267*w + 256 + 5073*w.\nAnswer: -w + 509","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 7*u**2 + 22*u + 58. Is k(18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o*o*o\/((o**(1\/6)\/o)\/o)*o*o**3*o\/o**3*o*o**(-2\/7)*((o\/((o*o**(2\/13))\/o))\/(o**4\/o))\/((o**5\/o)\/((o\/(o\/o**(-4)))\/o)) assuming o is positive.\nAnswer: o**(-1423\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 4)*(-1 + 2*n + 1) - 5 - 4*n - 3 + 2.\nAnswer: -8*n - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 5, 5*w = -3*g + g + 12. Solve -p + w + 0 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-18)\/(-3) - 1)*-1. Is (2\/g)\/(1\/(-5)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6886117, -2, 2 in ascending order.\nAnswer: -6886117, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.04 + 0.24. Let h = -7 + 10. Which is the second smallest value? (a) s (b) h (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 1895*u - 4. Let c(x) = -208454*x + 442. Calculate 2*c(l) + 221*i(l).\nAnswer: 1887*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16127232 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4\/((-8)\/(-6))*2\/6 + 4725?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tftttttt. Give prob of picking 2 t.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 10. Let s be (-8)\/(-6)*(-3)\/t. Suppose s*h - 18 - 16 = 0. What are the prime factors of h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97 = 107*p + 87*p - 185*p + 398 for p.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 76 - 63. Solve 0 = 2*s - x*s + 11 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8295030 and 3290?\nAnswer: 58065210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 4*v**2 - 18*v - 37. What is q(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -244206 - -91356. Round z to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-385)\/616 + 3\/(-8) + 18130?\nAnswer: 3, 6043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 811176 divided by 1389.\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaagggggaggaaaggggg. Give prob of picking 1 g and 1 a.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -85.09 + 11.19. Let p = 74 + k. Which is the smallest value? (a) p (b) 3 (c) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - 9. Let t = x - 7. Sort t, -2\/9, -4 in decreasing order.\nAnswer: t, -2\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 21*j**2 + 75*j - 163. Determine o(24).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 182\/6 + 2\/(-6). What are the prime factors of 1\/(c\/9 + -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - u + 10, -p - 2*u = -3*u - 8. Suppose 17 = -p*d - 4. Let k(h) = -h + 4. What is the remainder when 30 is divided by k(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 373*v - 385*v + 384 = 0. What is the highest common divisor of v and 656?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*k + k - 9*k)*(4164 + 2805 + 1133 - 1535).\nAnswer: -111639*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -55, -67, -67?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 21*w**4 - 17. Let a(l) = -5*l**4 + 4. Let j(x) = 9*a(x) + 2*i(x). Find the first derivative of j(o) wrt o.\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -92482, -183831, -274044, -363121, -451062, -537867?\n\"Answer: 568*b**2 - 93053*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*b - 305 = -0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 15, 5, 4\/3, -1\/12?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tjjvvtjjjvjjjv. Give prob of picking 1 v and 3 j.\nAnswer: 32\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6575 + -4695. Does 47 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f, 4 = -4*r - 191*f + 192*f for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 14 (b) -11\/18 (c) 0.2 (d) 2.2 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*d - 16*d - 3362 = -1717 for d.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 35 = -0*j + 3*c, 4*c = 4*j. Suppose -9*f = -j*f - 16. Suppose 2*m - 2*p = 66, f*p - 41 = -m + p. Is 14 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a century in months?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 391338.\nAnswer: 2, 3, 7247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9981, -9935, -9851, -9723, -9545, -9311?\nAnswer: -9015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1296 and 96?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*m - 1 = 0. Let d be (5 - 5)\/(m*2). Solve 6 = -3*q - 4*a + 17, -2*q + a = d for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*l - 96*l - 95*l + 379*l - 91*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14350325.85 microseconds to weeks.\nAnswer: 0.000023727390625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 610006 - 132?\nAnswer: 608764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-220)\/33 - -7)*3\/(-4). What is the biggest value in 0.13, -2, l?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -43, -88, -169, -298?\nAnswer: -487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19540320?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3b95ab1 - -9?\nAnswer: 3b95aba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2126*l + 275 = -2071*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 - 34. Find the third derivative of f + 27*f**3 + l*f + 52*f**2 - 8*f wrt f.\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3*z - 8. Let u = 9 - z. What is the highest common divisor of u and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02429605 rounded to 4 dps?\nAnswer: -0.0243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(-2\/19)*y))**(-28)\/(y*y*y*y*y**(-11)\/y*y*y*y*y*y**14))**(1\/7) assuming y is positive.\nAnswer: y**(-246\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 475488.6 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of -17*n**4\/4 - 24*n**3 + 59*n**2. Let o be y(-6). Calculate the highest common factor of o and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 9 - (-4 + 12)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 20. Let o = 18 - 3. Suppose 4*b - o - 21 = 0. What is the least common multiple of j and b?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 617624 and 288906?\nAnswer: 331664088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (20\/(-15))\/((-2)\/(-18)). What are the prime factors of (224\/s)\/(4\/(-12))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dn when two letters picked without replacement from nddd.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33)\/(-6)*(-111)\/407?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 21*o + 231. Let s be z(-11). Suppose -5 = -3*a + 4. Solve 2*l + 4*b - 26 = s, 4*b + 0*b = -a*l + 31 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ovdgnvovgngdg. Give prob of picking 1 v and 1 g.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 132234140 + -1?\nAnswer: 132234135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - -2)\/((-3)\/(-12)). Let b = 0 + q. Solve -3*z + a = -4, -b*z + 8 = -a + 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 83.6 or 938?\nAnswer: 938","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-3\/5))**31)**(-6) assuming a is positive.\nAnswer: a**(558\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -116.7 - -126. Let f = 9.2 - v. Which is the third smallest value? (a) -2\/13 (b) f (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/515942 and 15\/3014.\nAnswer: 5675362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 10:07 PM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.726 + -0.074. Let l = n + 0.8. Let t = -9089 - -9093. Which is the second smallest value? (a) t (b) l (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62035*v**2 + 4*v**3 - 62035*v**2.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 474 divided by 237.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - m - 25, -76 = -4*u - m - 17. Suppose 66 = -4*i - u. Let x be 2 - (-5 + i\/(-5)). Solve 0 = -3*p - 3*w - x, p + 3*p = 4*w - 36 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -2*w - 12. Is w a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of v**7\/21 - 3*v**6\/10 + 5*v**4\/3 + v**3\/3 + 12*v + 1. Find the third derivative of i(p) wrt p.\nAnswer: 120*p**2 - 216*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u**3 - 16*u**2 + 25*u + 168. Let w be k(-33). Round w to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -2158c92?\nAnswer: 2158c91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 761381.7ml to litres.\nAnswer: 761.3817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 3 + ((sqrt(612) - (1 + sqrt(612) + -1*sqrt(612))) + (sqrt(612) + sqrt(612)*1 - sqrt(612))*-5 - (sqrt(612)*1*5 + sqrt(612) + 6*sqrt(612)*-1)))**2.\nAnswer: 96*sqrt(17) + 9796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7527418 is divided by 90.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2854220615 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03965423 rounded to 3 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 24*f = 200 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 12. Suppose -j + 1 = -1. Put j, -2, v in descending order.\nAnswer: j, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 112 and 192?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from zbbzzzzzszzs?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 462227\/18 + -25673. Let o(a) = 126*a**2 - 4*a + 4. Let y be o(2). Let k = y + -1061\/2. Find the common denominator of k and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 30*h**2 - 3*h - 43. Let w be c(31). Calculate the greatest common divisor of w and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -807, -1606, -2405?\n\"Answer: -799*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 821\/14 - 414\/7. Let z = 3.89 + -1.49. Which is the second smallest value? (a) z (b) k (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 167501*w + 11*w**4 - 167503*w + w**3 + 2*w**2 + 1 + w**3 to the form p*w**4 + a*w**3 + q*w + b*w**2 + s and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 78\/(-351) - ((-94)\/9)\/2. Let l be 6\/(7 - c) + 0. Solve 75\/8 + 105\/8*q + 33\/8*q**2 + 3\/8*q**l = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-22)\/(-2) + -1 - (-5)\/5. Let l(n) = -m*n**2 + 10*n**2 - 3 + 5*n - 2. Determine l(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2698 and 6532?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 4 = -10*y. Which is greater: -2\/201 or y?\nAnswer: -2\/201","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - 4) + (-1 - -22). Suppose 7 - c = 4*m. Let b(h) = h**3 + 3*h**2 + h + 4. Determine b(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**2 + 5*n**2 - 3*n**2 + (48 - 12*n - 48)*(n - 3 + 3) + 3*n**2 + 0*n**2 - n**2 + n**2 - 4*n**2 - 4*n**2 in the form q*n + z*n**2 + u and give z.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/20 bigger than -1838080?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -136278861*o**4 + 161208323*o**2.\nAnswer: -3270692664*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 7*p + 44. Calculate z(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1004392, 13, 1 in descending order.\nAnswer: 1004392, 13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 361*a**2*g**2 + a**2*g - a*g**2 - 2*a*g + 3*a + 39*g wrt g?\nAnswer: 722*a**2 - 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1296 - 6*g**2 - 84*g - 1296 + 41*g + 43*g.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -108*q - 60. Let d be v(-3). Suppose -8*n - d = -32*n. Let x(u) = 9*u**2 + 4*u - 11. Let b(j) = 5*j**2 + 2*j - 6. Determine n*b(i) - 6*x(i).\nAnswer: i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, l: 5, e: 3, q: 2, g: 2}. Give prob of sequence ge.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 49614032?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(847))**2 + -5 - sqrt(847)) + sqrt(847) + sqrt(847) + (sqrt(847) - -1*sqrt(847))*-5.\nAnswer: -77*sqrt(7) + 843","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 28, 49, 88, 151, 244?\nAnswer: 373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 3*x + 5. Let k be w(0). Suppose 5*i = -4*d + d + 75, k*i - 4*d = 110. What is the remainder when i is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 h when two letters picked without replacement from {n: 1, g: 1, b: 3, l: 1, h: 5}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -294, -316, -352, -402, -466, -544?\n\"Answer: -7*v**2 - v - 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14179510 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 6*i + 40 = 2*i, 5*i = c - 14. Let g = 77 - 46. Suppose 4*r - g - c = 0. What is the highest common divisor of r and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 37513*p**2 - 405*p**3 - 37516*p**2 - 2447*p**3 in the form a + v*p**2 + h*p + d*p**3 and give d.\nAnswer: -2852","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 10. What is the units digit of 40*b\/3*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2897)\/(-23176))\/((81\/16)\/3).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30403?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, k: 1, m: 3, s: 2, i: 1, y: 3}. Give prob of picking 1 k and 1 y.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12 + -3)*(-4)\/(-2). Let z be (-22)\/(-3) - (-12)\/m. Is 2\/z - (-110)\/8 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from skskzbkbzwzkszzzsks. What is prob of picking 1 k, 1 w, and 2 s?\nAnswer: 25\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -9\/7, -154, -3, 2 in decreasing order.\nAnswer: 2, -9\/7, -3, -154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 96381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 429, 367, 263, 117?\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, x: 3, p: 1}. What is prob of sequence aap?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 189279.16 to the nearest 10000.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 58*d + 61. Suppose -2*t + 7 = -x, 2*x - 8 = x - 3*t. Let c(l) = -l. Let a(p) = x*b(p) + 6*c(p). Find the first derivative of a(m) wrt m.\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 467951764 by 95774.\nAnswer: 4886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - ((-17 - -15) + 2 + -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.28882 minus 34.01?\nAnswer: -36.29882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4*z - 226 = -2, l = 5*z + 112. Let s = -181960 - -182009. What is the remainder when l is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 8*g**2. Let a(l) be the second derivative of -2*l**4\/3 - 43*l. What is a(n(j))?\nAnswer: -512*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 411262?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0038112 to five decimal places.\nAnswer: -0.00381","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -878, -1582, -2340, -3176, -4114?\n\"Answer: -4*v**3 - 3*v**2 - 667*v - 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7)\/2*(0 + -4). Let r = o - 11. Suppose 4*q + 1 = -r. Let j(v) = -3*v**2 + v. Let b(u) = u**2. Determine q*j(z) - b(z).\nAnswer: 2*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2593764 is divided by 583?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000337502264 rounded to 5 dps?\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -24905, -24903, -24893, -24869, -24825, -24755?\n\"Answer: n**3 - 2*n**2 + n - 24905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (14\/2)\/((-4)\/148). Let x = i - -444. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 40*v**3 + 1708*v**2 + 2816*v + 1148 = 0.\nAnswer: -41, -1, -7\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 289*c - 49. Let l(o) = 3*o - 1. Let k(h) = 142*h - 25. Let g(u) = -k(u) - l(u). Let p(w) = -5*g(w) - 3*i(w). Differentiate p(j) wrt j.\nAnswer: -142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2)*-4 + 0)**2.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, t: 5}. What is prob of picking 2 o?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**2\/3 + 148245170*p\/3 - 5494157607082225\/3 = 0.\nAnswer: 74122585","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4165 smaller than 45830\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 - 51. Let r = -13 - k. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6225804240 minus 3?\nAnswer: 6225804237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -4736122 at most as big as -4736122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 48\/5 + -10. Let w be (385\/(-14))\/11 + 2. Which is the nearest to w? (a) 0.5 (b) -4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - 1)*(-6*w + 0*w - w)*(1 - 4 - 9) to the form h*w + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 714 + 2286 = -499*w - 493 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -43 - 138 + 1238*b - 1198*b with respect to b.\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -0.0414?\nAnswer: 0.0414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 y, and 1 t when three letters picked without replacement from {c: 1, y: 1, l: 2, z: 1, j: 1, t: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 5640 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -31933*n + 1628592. Calculate m(51).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -502153 - 3?\nAnswer: -502156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of -o**5\/60 - o**4\/12 + 7*o**3\/6 - o**2. Let r be d(3). Is -8 equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 822?\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*7\/42*1\/2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*h - 627 = 0, -2*h = i + 4*i + 3117. Let o be i\/(-6) + 7\/42. Suppose 0 = -4*v + 12*v - o. What is the remainder when v is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/sqrt(324) - 6*(sqrt(5) + -5 + sqrt(5)).\nAnswer: -107*sqrt(5)\/9 + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 7\/3123, -0.014, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h + 22. Suppose 0 = 3*m - 0*m - 30. What is the tens digit of c(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eu when two letters picked without replacement from {s: 2, t: 11, u: 1, e: 3, h: 2}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 42*o + 56. What is the hundreds digit of u(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*l - 19*l - 308 = 0. Factor -4*h**5 - 33*h**3 - l*h**4 + 56*h**2 - 26*h - 14*h**4 + 10*h.\nAnswer: -h*(h + 4)**2*(2*h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 is divided by 23.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 3*z**3 - 3*z**2 - 2*z + 5. Suppose 2*s + 21 = 3*g, -3*s + 14 = 4*g - s. Is l(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -124 + 124. Which is the closest to m? (a) 8 (b) 1 (c) -4\/7 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2726, -212.92, 0.2 in ascending order.\nAnswer: -212.92, 1\/2726, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8092553.\nAnswer: 7, 1156079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16433283\/394 - 41709. Find the common denominator of g and -47\/6.\nAnswer: 1182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8090 and 725600?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -389 + 597. Is h a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bc when two letters picked without replacement from {w: 2, b: 2, c: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**2 + 2438*o - 4872 = 0. Calculate o.\nAnswer: 2, 2436","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13.7 + -13.9. Sort 1, -3, -0.01, x in ascending order.\nAnswer: -3, x, -0.01, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2079159 to the power of 1\/3, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4139109678 to the power of 1\/4, to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 225 divided by -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = f + 7, -19*r + 5*f + 35 = -17*r. What is the nearest to r in -2, 0.06, 1, -4\/5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 126 - 126 - 203*y to m*y + t and give m.\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -183 * 0.5.\nAnswer: -91.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6\/(-3)*(-99)\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 5*w + 0*w - 14 = 0, -4*c + w + 26 = 0. Suppose 7*q - c*q = 0. Let u be (-4 + 6)\/(1 - 0). Solve -2*o + o + u = q for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r + 0*r**3 + 0*r**3 + 92*r**4 + 608*r**2 - 46*r**4 - 609*r**2 as z*r**3 + k + l*r**4 + q*r + s*r**2 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + 2*w - 3. Suppose 0*i = 3*i - 36. Suppose 0 = 4*x + n - i, 24 = x + 3*x + 4*n. Calculate t(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 258991877, 258991879, 258991881, 258991883, 258991885?\nAnswer: 258991887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1798893529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -10*x + 10. Let g be (1 + -13)\/((-6)\/8). Let d(p) = 3*p - 3. Give g*d(v) + 5*f(v).\nAnswer: -2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = n - 8*n + 16*n + 204, -5*n = 22*r + 186 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 bigger than 451384?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 4407573430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/7)\/(-1)*4\/4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -19) + -7 + 11?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 3 + 7 - ((-6 + -13 - 40) + 16).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 2:50 AM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 282 = 2*s - 5*x, 2*x + 200 = 2*s - 70. Let q = 134 - s. Let r(w) = 4*w**2 + 0*w**2 + w - w**3 + 6*w**2 - q - 15*w**2. Determine r(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of 3 - 1\/3*w**3 + 0*w**2 + 0*w. Let h(n) = 4*n**2. Calculate h(r(z)).\nAnswer: 4*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5404, -11359, -17850, -24877, -32440, -40539?\nAnswer: -49174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 252*w - 212. Let z be q(8). Suppose 5*o + 451 = l, -4*l = -0*l - 2*o - z. What are the prime factors of l?\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**12*q\/(q*(q\/q**(-9\/7))\/q)*q\/(q**(-2\/27)\/q)*q\/(q*q**11*q) assuming q is positive.\nAnswer: q**(149\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 284760 (base 9) in base 16?\nAnswer: 2a82b","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 18, 566, -2, 4 in decreasing order.\nAnswer: 566, 18, 5, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 14, -1\/309, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9662 + -48313\/5. Which is the closest to -2\/5? (a) 3 (b) -88 (c) 5 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 w when three letters picked without replacement from orrdwdorwodwd?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 238035737?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/20)\/(432\/(-80))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m**2 + 12*m - 59. Let s be k(3). Which is the nearest to -0.1? (a) -0.03 (b) s (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -1\/9, -22?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of a**2\/2 - 4*a + 2. Let y be c(8). Suppose -5*o + y = -56. Calculate the lowest common multiple of 4 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 477687?\nAnswer: 3, 7, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 2*v - 2*v)*(2*v + 0*v - 3*v) + (0*v + v + 2*v)*(3 - 3 + 2*v).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9424 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 455? (a) -2 (b) 61 (c) -3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1194537 is divided by 2017?\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24984 + -24971. Solve 18*y = 5*i + 19*y - 11, -i - b = 4*y for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -4*g**2. Let f(b) = -33*b - 2. Let d(i) = -98*i - 6. Let p be (-11 - -20) + 1 + 6. Let k(a) = p*f(a) - 5*d(a). Give o(k(l)).\nAnswer: -5776*l**2 - 608*l - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 128473 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g**2 + 26294*g + 10516 = 0 for g.\nAnswer: -2629, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -112730 - 5?\nAnswer: -112735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*r + 513 + 1786 = -78*r for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q + 4. Let b be h(0). Put 3, 1, b in decreasing order.\nAnswer: b, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13716*f**2*z**3 + 2642*f**2*z**2 - 55*f**2 + 83*f*z**3 - 175*f*z wrt z.\nAnswer: -82296*f**2 + 498*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) -0.3 (b) -233 (c) 3 (d) -0.049\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*k + 210. Suppose 257*v = 67*v - 210*v + 6800. Calculate the remainder when k is divided by v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 174*m**3 + 9*m**2 + 7*m + 5. Let z(c) = 523*c**3 + 26*c**2 + 20*c + 14. Let w(u) = -17*x(u) + 6*z(u). What is the units digit of w(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (69\/(-12) - -7)*4. Solve y + k + 9 = -3*k, i*y - 2*k = -1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1169)\/10 + 4\/(-40). Let b = z - -233. Is b a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8126 divided by -8126?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -4*s**3 - 23*s**2 - 18*s - 13. Let c(w) = -w**3 - 4*w**2 - 1. Let o(f) = 3*c(f) - u(f). What is the smallest common multiple of o(-8) and 20?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78050 = 34*m - 480*m. Let a(l) = -18*l - 8. Let t be a(-6). What is the greatest common divisor of m and t?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27820?\nAnswer: 2, 5, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 74 - 204. Let l = u + 129. Which is the nearest to l? (a) 1\/11 (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -60283\/3 - -20298. Let u = l - 202. Put u, 1, -5 in decreasing order.\nAnswer: u, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201*g + 191*g - 583*g + 190*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 + -3dd9?\nAnswer: -3dd3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*h - 425063 + 1172324 + 1215843 = 0. List the prime factors of h.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -11*g - 76, -p - 2*g - 303 = -327. What is the remainder when p is divided by 1 - -2 - (6 - 30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 9*a - 8. Let g be c(-10). Differentiate v + g - 2*v**2 - 3 - v with respect to v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*a - 33*a + 10*a + 10*a + 6*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 4*q + 3. Let h(x) = 41*x**2 + 20*x + 815. Let l(b) = h(b) - 4*u(b). Find the first derivative of l(m) wrt m.\nAnswer: 74*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/13*t**2 + 6\/13*t + 2\/13 + 2\/13*t**3.\nAnswer: 2*(t + 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -134?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 1984 in decreasing order.\nAnswer: 1984, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 7*n = -3*n + 7, 2*n + 9 = 5*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39036, -39039, -39042?\nAnswer: -39045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5)\/(-2) + -3)\/(-1). Let k be -1 - 49 - ((6 - 1) + -7). Let u be 72\/k*(-16)\/(-54). Is a greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.993297 rounded to 1 dp?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 7:36 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -11 + 2 - (1 + -6). Let f be (c\/(-5) + 0)\/(6\/(-5)). Sort 3\/4, -1\/5, f in descending order.\nAnswer: 3\/4, -1\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**4*u + 3*g**3*u + 7*g**2*u - 26*g*u - 3*u wrt g.\nAnswer: 12*g**2*u + 18*g*u + 14*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(9\/(-3) - -2). Let y(i) = 7 + i - 7 + r*i. Let v(k) = 9*k. Determine y(v(c)).\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 11) to base 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 - (-14 + 26) - 6 - (2 - 3).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-nine fifths of a hour?\nAnswer: 348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of 7*r**5\/150 + 109*r**4\/36 - 26*r**3\/45 - 440*r**2 - 9*r - 2. What is m in h(m) = 0?\nAnswer: -26, 1\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-93)\/(-12) + 5 + -12)\/((-66)\/(-2816)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5756 divide 1943524235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-48))\/((-229755)\/108120)?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p**2 - 4*p + 2*p**3 + 4*p**4 - 7*p**3 + 4*p**3 - 5*p**4 - 2 as c + w*p**4 + g*p**3 + v*p**2 + y*p and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 33*w - 1. Let i be -4 - 7\/((-21)\/18). Let z(s) = -133*s + 3. Let r(o) = i*z(o) + 9*q(o). List the prime factors of r(1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -2*g + 72, -g + 0*h + 38 = 4*h. Is 17 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of -13*o**5 + 23*o**2\/2 + 24. What is the second derivative of p(c) wrt c?\nAnswer: -780*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, h: 4}. Give prob of sequence hzzz.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + t + 4. Let b be u(0). Suppose -5*p = -4*q - 312, -b + 12 = 4*q. Let w be (950\/4)\/(2\/p). What is w rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ndj when three letters picked without replacement from {d: 6, j: 5, n: 4}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -20*s + 16. Let w be l(5). Let u be (w\/(-15))\/(2\/120). Suppose 11*g - u = 4*g. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + n**2)*(-n - n + n) + 1714*n**3 + 1073*n**3 + 23048 - 23048 - 484*n**3 in the form f*n**2 + m*n + d + l*n**3 and give l.\nAnswer: 2302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 + 56*t - 52. What is the least common multiple of (6\/(-4))\/((-3)\/16) and k(54)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.023 and 5.\nAnswer: 5.023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -716*q = -704*q - 24 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y*y\/((y*(y**(-1\/36)\/y)\/y)\/y))*(y**6*y)\/y*(y**15\/y*y)\/(y**(3\/4)*y) assuming y is positive.\nAnswer: y**(146\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46023469 is divided by 4602346?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 at most as big as 149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 + 1 + 13)*(-3 + 3 - 2) + 4 - 3 + 1)*(-f + f - 2*f**2 + 5*f).\nAnswer: 72*f**2 - 180*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, l: 3}. What is prob of picking 2 j and 1 l?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1377241003?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 3*c - 34, -3*p - 3*c + 16 = -11. What is the lowest common multiple of p and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.07591 - -0.075906917. What is j rounded to seven dps?\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x + 21 - 3 - 7 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -5*c**7\/42 + c**4\/12 + 4*c. What is the third derivative of v(w) wrt w?\nAnswer: -300*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -47*j**5\/20 + 91*j**2\/2 + 113*j - 109. Let t(i) be the first derivative of l(i). What is the derivative of t(y) wrt y?\nAnswer: -141*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 815333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 31419 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + (-3)\/9)*6. Suppose 0*b = 3*b - 2*o - k, 0 = -b + 2*o. Calculate the remainder when 15 is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvrp when four letters picked without replacement from {v: 2, r: 4, d: 1, p: 3}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.969 (b) -25\/34 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 962248739, 962248740, 962248741?\n\"Answer: p + 962248738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(7\/((-56)\/8))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24704*f - 7604362 + 7604362 to i*f + h and give i.\nAnswer: -24704","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14213130422 (base 5) to base 13.\nAnswer: 3aa4a33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/6 greater than 2526.8568?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 5, 3, 25\/4, -0.3, 2\/7, 1.3?\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40685656 and 92467400?\nAnswer: 1017141400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 + 10*y**2 + 4*y**2 + (-4*y + y + y)*(0 + 0 + 2*y))*(6*y**2 - 5*y**2 - 20*y - 3*y**2).\nAnswer: -22*y**4 - 220*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 11121121?\nAnswer: 11121202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 11:15 AM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**5 - 4*o**4 + 14*o**2 + 4*o. Let r(i) = i**5 + 3*i**4 - 15*i**2 - 3*i. Let u(b) = 4*r(b) + 3*t(b). What is the third derivative of u(l) wrt l?\nAnswer: 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 936 is divided by 24?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2014?\nAnswer: 2, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -32*r. Let y(f) = f**3 - 2*f**2 + 3*f - 3. Let i be y(2). Suppose 13 = 8*p - i. Let k(w) = -44*w - w**p + 44*w. What is k(n(t))?\nAnswer: -1024*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 881257433 a multiple of 167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 251080 - 328?\nAnswer: 250954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14180 and 159124415?\nAnswer: 3545","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kz when two letters picked without replacement from {k: 3, t: 1, z: 3}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34\/5 - 7 - ((-123)\/15 + 0).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 - 25. Suppose -n*c - 4 = 56. Let i be (-76)\/c - (-8)\/12. Solve -4*z + 6*f - 3*f = -5, 4*z + f + i = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -5. Suppose -5*l + u + 3 = 0. Sort 1, 0.5, l.\nAnswer: 0.5, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4256 by -838.\nAnswer: -2128\/419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 141049 * 3590.\nAnswer: 506365910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/26 + 546\/845.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 5 + 22595*n**2 + 22598*n**2 - 45191*n**2 - 5.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 8:02 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 62 - 4?\nAnswer: 5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4151 and 14825.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3126 rounded to the nearest one hundred?\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 271, -2560 in increasing order.\nAnswer: -2560, 7, 271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.05 + -5. Let v = 0.05 + k. Let z = v + -0.1. Sort 4, z, 7 in descending order.\nAnswer: 7, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 bigger than 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 3005\nAnswer: -12020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3012*z = -148874 - 22810 for z.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.466 (b) 3 (c) -0.3 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*(-4)\/(-12)*6. Let x = g + 4. Solve -f + 2*i + 8 = 0, x*i = 4*f - 3*i - 22 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 237191, 474379, 711567, 948755, 1185943, 1423131?\n\"Answer: 237188*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -2103222444?\nAnswer: -2103222441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 5*h**2 - 4*h. Let o be r(-4). Suppose o = 5*b + 43 - 18. What is the units digit of -2 - (b - 6\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1272555 is divided by 121?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + q = -42, k - 2*q + 22 = 7. Let s = k - -5. Let g(n) = n**3 + 7*n**2 + 4*n - 8. Determine g(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 + 2)*(2 - 2 + o)*(-22 + 33 - 23)*(-2 + 1 + 0 + (-2 + 1 + 2)*(-1 + 5 - 3) + 2 + 4 - 5) to the form r + c*o and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 PM and 8:34 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2755981?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 73523503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than -2870736?\nAnswer: -2870734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 903 and 142201.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -50 + 25. Let p = -22 - f. Suppose -p*n = -t - 1, 3*t - n - n = -10. Let j(y) = y**3 + 3*y**2 - 6*y - 6. Calculate j(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (6 + (-5 - -1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -4*u**3 - u**2 + 1. Let h be w(-1). Suppose -2*t + h*t = f + 2300, -2*f - 3449 = -3*t. Is t 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 8:56 AM and 11:06 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 3*i - 16 - 10, 5*l + 5*i = -10. Let t = l + 6. Solve 6 = t*g - 5*f, 3*g + 8*f - 4*f = 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5677 divided by -3\nAnswer: 5677\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94\/((-57528)\/102)*-69*1.\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -447 - -198. Let z = 258 + r. Let w(b) = b**2 - 9*b - 1. Determine w(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*w - 4. Let h = w + 6. Calculate the highest common factor of 3 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - 8. Let f = -21 - z. Let t = 8 - f. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.06 - -4.94. Let m = -3 + 5\/2. Sort n, m, -0.2 in descending order.\nAnswer: n, -0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 36*i**3 + 2*i**2 - 2*i. Let v be m(1). Suppose -12*n + 144 = v. Solve 8*k + n = 11*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(1*2\/(-10)). Let c be 2\/k + (-24)\/(-35). Let y = -124 + 125. Put y, c, -0.1 in descending order.\nAnswer: y, c, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14487793\/6769950 - -2\/135399. What is the common denominator of g and -92\/15?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.02 - 1.98. Let o = -55 + 54. Which is smaller: o or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233*v - 238*v = -419*v - 295 + 87 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78439?\nAnswer: 78439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, 5, -1, 98\/9, -16\/7, 0.4 in descending order.\nAnswer: 98\/9, 5, 0.4, -3\/5, -1, -16\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 37*q + 5*q**2 - 37*q. Let i(g) = -8*g**2 - 8. Let p(w) = w**2 + 2. Let x(z) = -i(z) - 4*p(z). Determine x(d(k)).\nAnswer: 100*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/6)*(b\/(b*b**(-17)*b))\/b*b)\/(b**(-6))**46 assuming b is positive.\nAnswer: b**(1753\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 39494596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 254*v**2 + 11428*v - 210. Calculate i(-45).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1040 - 11728?\nAnswer: -10688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 16 = v. What is the units digit of (0 - v)*9\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/9 - 304051000*r\/9 + 11555876325125000\/9.\nAnswer: 2*(r - 76012750)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**2 + 3*h - 27. Suppose -16 = 2*t - 10, -5*t = 2*b + 23. Calculate y(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of w**6\/90 + w**5\/24 + w**3 - 5. Let b(u) be the third derivative of m(u). Find the second derivative of b(t) wrt t.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -32584 and 320935.\nAnswer: 288351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 210470?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.21 and -4975.83.\nAnswer: -1044.9243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 95*a**3*g**5 - 2*a**3*g**2 + 62*a**3 + 2*a**2*g**2 - a*g**6 wrt g.\nAnswer: 5700*a**3*g**2 - 120*a*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7014651 weeks to seconds.\nAnswer: 424246.09248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*q + 14*q - 21*q)*(11*q - 2*q**2 - 11*q).\nAnswer: 68*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.2, -3\/7, -10025, 0.08.\nAnswer: -10025, -3\/7, -0.2, 0.08, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) - (sqrt(114) + sqrt(114)*-2*6))*-6*3)\/(-4*(-2*sqrt(1200))\/sqrt(2)).\nAnswer: -27*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(-1 - 2*m + 1) + 883*m - 10*m - 9*m.\nAnswer: 868*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**4 - 2*t**3 + 4*t**2 - 3*t - 3. Let l(j) = j**2 - j - 1. Let o(k) = -5*i(k) + 15*l(k). Factor o(p).\nAnswer: -5*p**2*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -73*u**2. Let s(q) = q**2 + 45. Give t(s(d)).\nAnswer: -73*d**4 - 6570*d**2 - 147825","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 222733\/93 - 2395. Let m(u) = 31*u + 372. Let y be m(-12). Which is smaller: t or y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2. Let s(i) = 123*i**2 + 54*i**2 - 50*i**2. What is s(b(t))?\nAnswer: 127*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -22012221020 (base 3) to base 4\nAnswer: -213133332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + 24684276\nAnswer: 24684275.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 104555554?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 8*t**2 + t - 1. Give o(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 401 - -1?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 424064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g**2. Let f(p) = -7*p - 4. Let c(o) = 57*o + 33. Let l(m) = 4*c(m) + 33*f(m). Calculate i(l(r)).\nAnswer: -27*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 53473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 35253\/7 smaller than 5037?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 12221011020?\nAnswer: -12221011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3505423.\nAnswer: 191, 18353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -78402 (base 16) to base 13\nAnswer: -143262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18.8 + 19. Let p = -3.2 - -3. Which is the third biggest value? (a) p (b) -1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 + 28. Suppose 3*f + 136 = x*u + 2*f, -5*f = 2*u - 68. What are the prime factors of u?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 10) to base 11\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - y = 0. Suppose y = -4*w + 27 + 33. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124854.12 rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*t - 149*t**2 + 57*t**2 + 86*t**2 + 7*t**3 + (-2*t - 3*t + 3*t)*(0*t**2 + 3*t**2 - t**2) in the form w*t**2 + m*t**3 + s*t + f and give s.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 f when two letters picked without replacement from {y: 2, f: 1, t: 2, g: 1, a: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -524*n + 142*n - 8190 = -200*n for n.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1208 and 1662.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 9 = -a - 2*t, -3*t = -3*a + 54. Suppose 5*i = 3*r - 21, -r + 6*i = i - a. Suppose -20 = -r*y - 0*y. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.16981ml in litres?\nAnswer: 0.00616981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 173327596?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27798203 = -p + 3*h + 19913867, 4*p - h = 190848335. Suppose 0 = -6*k + 17747915 + p. What is k rounded to the nearest one hundred thousand?\nAnswer: 10900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -174.3 - -155. Let r = -192098681.5 - -192098700.80000097. Let t = r + m. What is t rounded to seven dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 466 = 23*j + 213. Suppose 2*t - 4*q = -0*t + 8, 4*q = -2*t - 8. Solve -7*g + j*g = t for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5*(0 - -1)*((-1665)\/(-37) - 4502) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**2 + 12265*q - 61200.\nAnswer: -5*(q - 2448)*(q - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6*-1*(-4 - -2). What is the greatest common factor of j and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 441770 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 76 (b) 5 (c) -1 (d) -2.12 (e) 0.1 (f) -2 (g) -0.4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 122901*m**3 + 223*m - 432?\nAnswer: 737406*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16044*y**6 - 28*y**3 - 31*y**2 + 391*y - 14 wrt y?\nAnswer: 1925280*y**3 - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 6:48 AM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 117480640?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6193407.395 rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/(-8)*(2 + 10\/(-15)). Factor -1\/6*s**5 - 15*s**3 + 81\/2 + 45*s**2 - 135\/2*s + r*s**4.\nAnswer: -(s - 3)**5\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(68) + sqrt(68)*-3) + sqrt(68))\/(sqrt(4) - -1*sqrt(324)).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 9263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 331*f - 275*f = -378*f + 4340 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -58 - -55. Let o = -139 + 135. Which is smaller: y or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 13\/3 + (-2)\/24*-8. Let r(h) = 2*h - f*h + 19*h - 1 - 4*h. Give r(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j**2 - 37*j + 25. Let c be n(-19). Suppose 0 = -2*o + c*o - 20, 119 = 3*t + o. What are the prime factors of t?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - -72175741.365355.\nAnswer: 72175741.465355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 213131 + (3 - -2 - 0\/(-5)). Suppose -17*w - 81947 = -v. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2996921 is divided by 68111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 11 = 33. What is the remainder when 65 is divided by h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 314580584 or 314580583?\nAnswer: 314580584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 + r + 7. Let l be 1\/(((-1)\/(-15))\/1). Let c be (-55)\/l - 1\/3. What are the prime factors of y(c)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11992?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from vvvvbvbbbbbvbbbbbbb?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31 - -10. Let l = n - -39. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 + -11. Suppose -s = -3*x - 5*t, 4*x - t - 3 = 3. Suppose 10 - x = 4*y. Solve -2*q = y*k + 4, 4*k = -q - 0*q + 1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2 + 0 = 0. Let f be (y - (-2 - -2)) + -1. Let o = 1 - f. Is 3 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1.1, 17.9, 1\/4, 0.5?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47.8 + 231.3. Let b = 186 - n. Round b to 1 dp.\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-9) - 16445\/207. Let b = -157\/2 - g. Let -1\/2*i**4 + 0*i + 0 + 0*i**3 + b*i**2 = 0. What is i?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 57\/40787?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o - 12 = -18*o. Suppose 5*v = 4*v - 1. What is the third biggest value in -0.02, o, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/13 + 5109452*h\/13 + 3263312467538\/13.\nAnswer: 2*(h + 1277363)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 130, 431, 1018, 1987?\nAnswer: 3434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - 0)*(-28)\/40*-5. Let a(j) = -4 + 2*j - 3*j - 8. Give a(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57 - 35. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*w = 5*y - 9, 5*y - 45 = 5*w. Let z be ((-24)\/(-10))\/w*-45. What is the remainder when (18\/7)\/(z\/126) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -4\/3, -7, 3, 5?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34 + 37 + 37*z**2 - 38*z**2)*(-z**3 + 0*z**3 + 0*z**3 + (-z + 2 - 2)*(0*z + 0*z - 2*z**2) + 104*z - 2*z**3 + 4*z - 31*z).\nAnswer: z**5 - 80*z**3 + 231*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*o - 121*o = -87*o + 81. Which is the nearest to -0.1? (a) -386 (b) o (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 y when three letters picked without replacement from {c: 5, j: 1, v: 4, y: 4, o: 6}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {v: 9, q: 9}?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000834 to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yzvy when four letters picked without replacement from {z: 1, r: 2, y: 9, v: 1, b: 3, e: 2}?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 62084*v + 80477. Let o(t) = 10348*t + 13412. Let l(y) = -2*n(y) + 13*o(y). Differentiate l(a) wrt a.\nAnswer: 10356","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 63 = -3*w - 18, -w = 4*i + 19. Let q be 1\/i + (-10)\/12. Is 158*(q + -1 + 3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 701545?\nAnswer: 5, 13, 43, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5704427\/521 - -10949. Let x = 5224\/3647 - s. Let p = 4 - 3. Which is smaller: x or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + i**2 - 4*i - 4. Let c be j(-2). Suppose 4*u - 7*u + 48 = c. Let o be (0 - (-18)\/u*2)\/6. Are o and 4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 38 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/27*(1863 - -3). Let a = u - 138. Let v(i) = -i - 1. Let k be v(2). Sort a, k, 5.\nAnswer: k, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*a*m**6 + a*m**3 + 104*a*m**2 - 17*m**6 wrt m?\nAnswer: 360*a*m**3 + 6*a - 2040*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/72)\/(15\/40*8).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f**3 - 8868*f**2 + 3512952*f + 7061392 = 0?\nAnswer: -2, 442, 3994","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -648 + 325 + 331 + 25*o to r*o + q and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6713 and 137.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + 1. Let g be -6*(21\/k + -3). Let n be -4*g\/8*2. What is the nearest to -1\/5 in -0.3, -0.2, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - -4 - (17 - 15)*-9.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + 35 + -41 + -12 + 3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7216487?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.7184694 litres?\nAnswer: 718.4694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -0*l + 3. Solve -3*t = -5*y - 8, l*y = -5*t - 14 - 18 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -10*p**4\/13 - 16*p**3\/13 + 18*p**2\/13 + 16*p\/13 - 8\/13 = 0.\nAnswer: -2, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 734 = 6*t, -2*f + 5*f + 5*t - 550 = 0. What is the greatest common divisor of f and 1591?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 756 = -243*d + 249*d. Calculate the highest common factor of d and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5+1585355771\nAnswer: 1585355766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (5 + (-90)\/8)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45 (base 14) to base 15.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*i = -3*f + 23, 3*i + 61 = 5*f. What is the hundreds digit of (-10962)\/(-252)*(-1 - i\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -f**2*k + 185612*f**2 - 4*f*k + 82845*k wrt k?\nAnswer: -f**2 - 4*f + 82845","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18.7841 - 0.0159. Are n and -1\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (2052\/126)\/(((-6)\/(-28))\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -l - 4*k, -4*l + 5*k + 3 = 5. Suppose r = -3*h + 15, h = l*r + 6*h - 31. What is the lowest common multiple of 14 and r?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j - 4. Determine o(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 30*q - 373 + 853 = -114, -4*q = -3*m - 71 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 61039637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -133 - -135. Solve -2*u + p - 10 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 25641, 51272, 76903, 102534, 128165?\n\"Answer: 25631*g + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 40913 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 100956.54131429 take away 0.1?\nAnswer: 100956.44131429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 - -1 - (1 - -99). Let g = k + 106. Which is the biggest value? (a) 3 (b) -0.05 (c) -3\/4 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 514926936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 372*i - 19205. Give v(-312).\nAnswer: -485","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1971\/4 - 493. Let u be 12\/(-54) - (-130)\/18. Suppose -2 = -5*n - u. Put n, 1\/3, 3, v in increasing order.\nAnswer: n, v, 1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 115952, 115951, 115950, 115949, 115948?\n\"Answer: -l + 115953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-18)*963\/(-107))\/((-2)\/3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 9:14 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -182, -191, -212, -251, -314?\nAnswer: -407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -326 - -321. Let v = 40\/51 + -2\/17. What is the closest to v in -2\/7, -0.5, d?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/(-28) + 657\/(-4). Let t = l + 271. Suppose -5*a + t = 32. Solve -q + a = 2*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 832563351?\nAnswer: 3, 92507039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 609 by -5.\nAnswer: -609\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5 = -1. Suppose 0 = 5*x + 4*b - 17, b + 17 = -0*x + 3*x. What is the third derivative of f**x - f**5 - 2*f**z - 2*f**5 wrt f?\nAnswer: -120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -371\/2327 - -1\/179. Let t = -1162 + 1159. Which is the smallest value? (a) t (b) j (c) -0.5 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 362 + -362.057. Let b = -6 - -7. Are l and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 312.8.\nAnswer: 156.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.124 + 0.134. Let r = -2.99 - q. Sort r, -4, 1 in ascending order.\nAnswer: -4, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 2*h - 12, -h = -5*i + 3*i + 10. Put 12, 0, i, -3 in decreasing order.\nAnswer: 12, i, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 82*l**5 - l**4*z + 164*l*z - 3*z wrt l?\nAnswer: 1640*l**3 - 12*l**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -882 (b) 108 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29972429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 53 and 3988409.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*o = -61*o - 860 for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/114 and 39\/122?\nAnswer: 6954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*a + 300 + 328 = 772 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -5*b**2 + 102*b + 231. Calculate y(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -553*g**6 + 2*g**4 - 13982*g**2.\nAnswer: -66360*g**3 + 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/(-27))\/(9\/((-405)\/(-6)))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-40)*-2*1\/30*5.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 828927 and 594?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/600 and 143\/6000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14203 or 14172?\nAnswer: 14172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3 - 798581*g**2 + 2395752*g.\nAnswer: -g*(g - 3)*(g + 798584)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 4, 2, -44 in ascending order.\nAnswer: -44, -4, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 204388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t - 1. Suppose 0 = -4*y + 1 + 3. Give s(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(((h*h**1*h*h)\/h*h*h)\/h)*h*h)**(-4))**(3\/5)\/((h*h**(-2\/3))**(-34)*h\/h**6*h**(-1\/7)\/h) assuming h is positive.\nAnswer: h**(2087\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iw when two letters picked without replacement from {w: 4, i: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12470184 divided by 9?\nAnswer: 1385576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -5 + (-5 - -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 7*z**2 - 7*z - 7. Let i(g) = -6*g**2 + 6*g + 6. Determine 6*i(k) + 5*o(k).\nAnswer: -k**2 + k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 18571.9 rounded to the nearest one thousand?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 + -17. Suppose -15 = -5*i, 0 = -4*q - k*i + i - 502. Find the common denominator of -42*(-4 - q\/32) and -81\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 7*d**2 - d + 1. Let o(b) = 12*b + 3. Let v be o(6). Let f = v - 68. What is g(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 2:22 AM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 1.0568.\nAnswer: 0.31704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 100 - 66. Suppose -3*d = 5*z + d - y, 16 = 2*z + 4*d. What is the tens digit of (10 - z)*67\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -224*f + 1060. Calculate the lowest common multiple of r(4) and 60.\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/182052 and -45\/14144.\nAnswer: 49518144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1055600 to the power of 1\/3, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 23*k**2 + 28*k - 34. Let t be 2 + (93 - -2) - (-6)\/(-6). Let h be t\/30*15\/2. List the prime factors of q(h).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45530 take away -0.3605682?\nAnswer: -45529.6394318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -1569?\nAnswer: -8\/1569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s - 86. Determine u(27).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9386721?\nAnswer: 3, 857, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 532342 (base 6) in base 15?\nAnswer: cc8e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -132 - 2?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 823?\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*42.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -257\/2652 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -4*w**2 + 23*w + 36. Let x(m) = -3*m**2 + 21*m + 35. Let t(s) = -4*c(s) + 5*x(s). Let v be t(-11). Solve -2*h = -1 + v for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 618 = 2*z + 5*i, -3*z - 1828 = -2*i. Let q(k) = 4*k - 28. Let l be q(13). What is the common denominator of (((-2)\/(-12))\/(l\/z))\/1 and -111\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45 divided by 1930528\nAnswer: 45\/1930528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 - -268. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*w, -w + 6 = 4*y - 0*y. Suppose 0 = 3*l - 3*h + 8 - 59, -y*h + 38 = 4*l. Solve 4*g + 11 + 1 = -m, -g - 4*m + l = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/6*(-3 - 0 - -6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + r - 2*d + 26 = 0, -2*r + 4*d - 4 = 0. Let c(s) = -s**2 - 5*s + 6. Let w be c(-6). Suppose -6*n + n - 20 = w. Put r, n, -2 in decreasing order.\nAnswer: r, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 776*k. Let a(p) = 761*p**2. Calculate a(o(l)).\nAnswer: 458255936*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 46*w**2. Let s(u) = -6436*u**2 - 3*u. Determine s(k(h)).\nAnswer: -13618576*h**4 - 138*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891) + 0)*-3)**2.\nAnswer: 8019","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1\/4, 14\/313.\nAnswer: -3, 14\/313, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 1096, -3 in increasing order.\nAnswer: -3, 1, 3, 1096","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 188*l**2 + l. What are the prime factors of k(-1)?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2 + 2*l - 9. Let n = 5539 - 5543. Give f(n).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 34*2\/16 - 55\/11. Which is smaller: o or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 338633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-581)\/(-105) - 3) + 2\/15. Let t(a) be the first derivative of l*a**3 + 3 + 2*a**2 + 0*a. What is the second derivative of t(f) wrt f?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 a when three letters picked without replacement from dttdadtdatddddttdd.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 7. Suppose 0 = d*o - 3*o. Factor o*v**4 + v**4 + 7*v**2 - 2*v**3 - 6*v**2 + 0*v**4.\nAnswer: v**2*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 13. Let d(z) = 5*z**2 - 1. Let l be d(-1). Let p(a) = l + 5*a - w*a + 2*a. Determine p(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/10 (b) -2\/13 (c) -4 (d) 3 (e) 315\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(2\/4 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 9752?\nAnswer: 19504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/21))**48 assuming v is positive.\nAnswer: v**(-32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29161 = 4*v + u - 34719, -3*u - 12 = 0. List the prime factors of v.\nAnswer: 15971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16744226?\nAnswer: 2, 653, 12821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, c: 1, a: 3, e: 3}. What is prob of sequence aaee?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2611 (base 7) to base 11.\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 26, 30, 34, 38, 42?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - -7) + 7 + -4. Calculate the least common multiple of (80\/f)\/(12\/18) and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -45.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.0347 to zero decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 13656 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.1 (b) 0 (c) -3\/10 (d) 607\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001 - 1010101110011?\nAnswer: -1010101100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 29 - ((-12)\/3 + 5). Is (-70)\/o + (-1878)\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2*o = 468, -7*r + o = -3*r - 948. Does 14 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 315 = -3*j + x + 972, j + x = 215. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19639471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m - 4829 = -509. Is 22 a factor of m\/(7 - 12) + 0 + 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 27 = -161*v + 165*v, 0 = 5*v + 5*p - 10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -29 in 2\/15, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6632119 is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 12 - 12. Let j be (a\/(-4))\/(1*(-6)\/(-8)). Suppose -9 = -j*v - v, -2*y + 3*v + 1 = 0. Solve 2*n = y*r + 3, 0 = -r - r + 2 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*o - 24 - 252 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -84521 not equal to 10\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 17980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49*t - 77*t - 4*t)*(-12*t + 9*t**2 + 12*t).\nAnswer: -1170*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2990808766 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**4 + 4*l**3 - 4*l**3 + 2*l**4 - 4*l**4 + l**4 + (0*l + 0*l - 2*l**3)*(-2*l + 5*l - l) + (1 + l**2 - 1)*(l + l - 3*l)*(-l - l + 4*l).\nAnswer: -5*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*u**4 + 16805189*u**3 - 8917338*u wrt u?\nAnswer: -24*u**2 + 100831134*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) -5 (b) -14 (c) 5 (d) 3 (e) 413\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - j + 178 = 0, 4*v + 44 = 5*v - 4*j. Differentiate 17 + v - 47*g**2 - 4 - 10 with respect to g.\nAnswer: -94*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 910 divided by -2?\nAnswer: -455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (9114\/(-1560))\/(-7) + 6\/(-8) and 21\/11.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 6*o**3 + 16*o**2 - 11. Let k(b) be the first derivative of -b**4\/4 - b**3 + 2*b + 62. Give -2*g(l) - 11*k(l).\nAnswer: -l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*l**3 + 8*l**3 - 2*l**3 + 65*l**2 - 61*l**2 - 4 to the form x*l**2 + p*l**3 + g*l + h and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 divided by 2?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45 + 34. Let b = u + 24. Calculate the remainder when b is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 112 + -109. Let -20*k**2 + 4*k**4 - 59*k**3 + 12*k + 19*k**j + 16 + 28*k**3 = 0. Calculate k.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -212 - 136. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 216 and 72.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/35*43\/((-24596)\/(-3080))?\nAnswer: -60\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-10) + 216\/120. Suppose k - 6 = 3*s - 16, -3*k + 25 = m*s. Sort -5, s, 132 in decreasing order.\nAnswer: 132, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-77)*14\/(-2).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of m**7\/70 + m**5\/60 + 3*m**2\/2 - 3*m. Let x(q) be the first derivative of u(q). What is the third derivative of x(a) wrt a?\nAnswer: 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/11 (b) -5 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1360?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 187454 times -45.7?\nAnswer: -8566647.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1121012020 + 2121?\nAnswer: -1121002122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -63*s**2 + 21*s + 13. Let o(g) = -31*g**2 + 10*g + 6. Let j(c) = -6*m(c) + 13*o(c). Let z(a) = -6*a. What is j(z(n))?\nAnswer: -900*n**2 - 24*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -1 - (-4 - -3 - -9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -6*s + 7. Let q(m) = -m**3 - 6*m**2 - 5*m. Let c be q(-5). Let z(w) = -2*w + c*w + 8 - 5*w. Let k = 2 + -7. What is k*z(l) + 6*h(l)?\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198*w + 5*t + 50 = -193*w, -5*w + 3*t + 38 = 0. Let i be (-27)\/6 - 2\/4. What is the nearest to -0.1 in i, 2, w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence do when two letters picked without replacement from {o: 3, d: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74673 + 5598 = 3034*v + 16393 + 114776 for v.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 41 + 32 - 80 - 133 - 1020*c**2 - 356 with respect to c.\nAnswer: -2040*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gr when two letters picked without replacement from pvvgjjvgzjrvvzv.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -214*p**3 + p**2 + 2*p + 1. What is the tens digit of m(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71, 63, 47, 23?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -4 - 10*k - k**3 - k**3 + 4*k**3 - 3*k**3 - 10*k**2. Let p be n(-9). Solve -p*j - 15 = -0*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 11*v**2 - 12*v + 4. Let q(b) = 3*b**3 - 23*b**2 - 25*b + 9. Let o(j) = -5*g(j) + 2*q(j). Let i = -39 - -32. Is 10 a factor of o(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.18987 + -3.18987. Let g be 1\/(-2) + (-18)\/(-4). Suppose -g = -w + 5*l, -4*l = -0*w + 3*w - 12. What is the second biggest value in f, 0, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(114)\/(-6*-2*sqrt(6)) + 4.\nAnswer: sqrt(19)\/12 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 5, -743, 22 in increasing order.\nAnswer: -743, -2, 0, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = -105*x + 111*x. Suppose -g - 151 = -5*d, g = 4*d + 53 - 174. Calculate the least common multiple of x and d.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(288\/(-14))*((-27714)\/1736)\/149?\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -5*p**3 + 10*p**2 + 4*p + 34. Calculate q(0).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 591250422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 4)*(3*n - n - n) + 2*n - n + 0*n + (-2*n - 2*n + 33*n)*(1 + 1 + 3) in the form m*n + h and give m.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*(-1 + 16\/24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3845*l + 7617. Determine v(-2).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, u: 7, l: 12}. Give prob of picking 3 u and 1 n.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/7476 and -77\/4272?\nAnswer: 29904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2302*h**3*i**3 + 366436*h**3*i**2 - h**3*i + 2*h**2 + 172*h*i**3 wrt i.\nAnswer: 13812*h**3 + 1032*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194*z + 2 = 196*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16374 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: Express (0*d + 0*d + 2*d)*(-3897 - 4374 + 7660 + 34*d**2) in the form c*d**2 + q*d + w + o*d**3 and give q.\nAnswer: -1222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l - 25. Let x(u) = 25. Let f(g) = -3*k(g) - 2*x(g). Let n be f(-8). Which is the third biggest value? (a) -1 (b) 1\/4 (c) 0 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-1\/4))\/x**(-3))**22 assuming x is positive.\nAnswer: x**(187\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6917 - -18553. List the prime factors of p.\nAnswer: 2, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-18) + 8\/(-36). Suppose f = n - 5*n + 8. Suppose 0 = -n*w + w + 32. What is the highest common factor of 48 and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a week in minutes?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30441 is divided by 175.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1087?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.43 - -5.93. Put 3, 19, q in decreasing order.\nAnswer: 19, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 686\/1176*18196\/28*-2. Which is greater: -757 or p?\nAnswer: -757","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -181 - -181.091. Let l = 0.09099886 - y. What is l rounded to 7 decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11295.638172 to 0 decimal places.\nAnswer: -11296","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-33)\/27 - 32\/(-144). Sort -3, d, 18 in descending order.\nAnswer: 18, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*k = -2*a - 9*k + 6, 0 = -3*a + 4*k + 11 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirteen quarters of a millennium?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2351, 18754, 63275, 149972, 292903, 506126?\n\"Answer: 2343*p**3 + p**2 - p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2368)\/444*(-24)\/128*-21*1.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 0 + 4\/3*v - 2\/3*v**3 - 2\/3*v**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*s + 11 + 1. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -5*c + 105, 0*n - 4*n = c - 2. Calculate the smallest common multiple of c and 140.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4885 is divided by 3635.\nAnswer: 1250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*v**4 - 2624*v**3 - 6*v**2 - 7*v - 50954?\nAnswer: 36*v**2 - 15744*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 61409\/192045 + -11\/3255. Let s = b + 1\/59. Which is smaller: s or -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 47149878*z**3 + 30610016*z**2 wrt z.\nAnswer: 282899268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, i: 17}. What is prob of picking 2 i?\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 337854856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(140))\/sqrt(4))\/sqrt(5) + 4)**2.\nAnswer: 16*sqrt(7) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1.2, -1.4, -36, -0.5?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 5*v. Let g(n) = 9*n + 54. Let l(z) = -54*z - 306. Let d(o) = 34*g(o) + 6*l(o). What is d(k(s))?\nAnswer: -90*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -38 + 58 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o = 10 + 8. Let f be (1 + 3*1\/(-3))\/o. Let d = -2.1 - -1.6. What is the nearest to -1 in -1, d, f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 107925, 107921, 107917, 107913, 107909, 107905?\nAnswer: 107901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 5*q**2 + 3*q + 7. Let x = 59 - 53. Calculate d(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 50 = 7*o. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1 and 67.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -326\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2967 - 2958. Suppose 0 = -q + 2*z + 14, 3*q + 9 = -q - 5*z. Solve -3*w = -0*s - q*s - l, 0 = -4*s - 3*w - 15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 416135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 600 - 595. What is the fourth biggest value in -1, t, 2\/9, 4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d - 6. Let l be p(-5). Let b = -1 - 3. Let f = 2\/91 - 103\/546. What is the nearest to l in f, 3, b?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 5*g - 7*g)*(-3 - 1 + 6)*(2*g**4 - 5*g**4 + 2*g**4).\nAnswer: 22*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 14. Let w(a) = -61*a - 29. Does 4 divide w(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*o**3 + 3 - 3)*(3*o - o - 3*o) - 3*o**4 - 1096*o**2 + 1096*o**2 + 73 to w + t*o**2 + a*o**3 + r*o + m*o**4 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 44*h - 120 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 837 and 1.\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 121 (b) 24 (c) 2 (d) 4 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(54)\/(-5*sqrt(1089) - sqrt(1089) - sqrt(1089)))\/(2*(sqrt(432)*-3 - sqrt(3))))**2.\nAnswer: 1\/16233602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 8:33 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 1. Suppose -f = -4*h - 16, -5*f - 20 = 5*h - 0*h. Suppose f = -a*n - n + 32. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 9*c - 8. Is v(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.012255887 rounded to three decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -4*n**3 + 149700*n**2 + 898308*n + 1347516 = 0.\nAnswer: -3, 37431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 7 = -3*m, -2*b + 5*m = 15 + 3. Let f(a) = 5*a**3 + a**2 - a. Give f(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence owsx when four letters picked without replacement from {x: 2, s: 1, o: 3, w: 6}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 162?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 15*u + 1. Let v be w(-3). Let i = v + 49. Solve -i*r - 19 = 6 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-700)\/(-6) + 2\/6. Suppose -38 = q - u. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001901945365 rounded to seven decimal places?\nAnswer: -0.0019019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*o - 711 = -59*o - 5*o for o.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mbb when three letters picked without replacement from {b: 3, m: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - (-7)\/(14\/(-1058)). Let v be (1\/3)\/(r\/(-126)). Suppose 0 = 3*j + 4*b - 19, -2*b + 1 = -4*j - 3. Which is smaller: j or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/(-2)*8\/(-5). Suppose 4*v = -t*p - 4, -3*v + 2*v + 5 = -2*p. Let w(l) = 2*l**2 + l - 2*l**2 + l**3 + 2. Calculate w(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/28)\/(33\/(-77)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 905 and -213.67.\nAnswer: -193371.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-15)\/2*12\/(-30). Suppose -23 = -a*s + 7. Suppose 5*m - 25 + s = 0. Solve -2*z - 10 = -n + 4*n, -m*z - 15 = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -39*d**2*t**3*w + 2*d**2*w**2 + 2*d**2*w - d*t**3 + 37*d*t + 10093*t**3*w**2 wrt w?\nAnswer: 4*d**2 + 20186*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of p**5\/120 + p**3\/3 - 1. Let o(j) be the third derivative of u(j). Let y(k) = -2*k**2 - 5*k + 0*k + 5*k. What is y(o(x))?\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 7, -3.9, 12.9 in descending order.\nAnswer: 12.9, 7, 0.4, -3.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20642 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*x*y**2 + 35465*x*y - 1714532*x + 10*y**2 + y - 8 wrt y?\nAnswer: -4*x*y + 35465*x + 20*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 4:10 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -353*o**3 + 1855*o**3 + 808*o**3 - 18*o**3.\nAnswer: 2292*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -118*t - 2*t**3 + t**3 - 6*t**2 + 118*t + 6 in the form u*t**2 + n + d*t + g*t**3 and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -5\/423?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -19*i**3 - 40*i**2 + 53*i + 6 = 0.\nAnswer: -3, -2\/19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10492*t**4 - 18*t*y + 6*y + 7520 with respect to t.\nAnswer: 41968*t**3 - 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.05 (b) -4 (c) 0.2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, c: 2}. What is prob of sequence cii?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-18)\/8)*2\/(-8).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*c*f**3 + 1821*c*f**2 + 509110*c*f + c - 24*f**3 wrt f?\nAnswer: -18*c*f + 3642*c - 144*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/1887 - 28291\/13209. Suppose j - 10 = -40. Calculate the common denominator of s and (-5 - -4)\/(j\/(-177)).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12.2305144 and -0.2.\nAnswer: 2.44610288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 66*(1 - 6\/4). Let x be 0 - ((-12)\/15)\/(2\/(-5)). What is the common denominator of x - 4*48\/j and 75\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19.754? (a) 3 (b) 2\/9 (c) 2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-2)\/(-4) - (-5)\/10 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -73783.8 or -0.2?\nAnswer: -73783.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*p**4 - 52*p**3 - 48*p**2 = 0. What is p?\nAnswer: -12, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-7\/4)*b)**21\/(b**(-3\/2)\/b*b**7) assuming b is positive.\nAnswer: b**(-81\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -11. Solve 3*d + d = -c for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 4 + (-3 + 2 + 2)*(-170 + 639 + 766))*(-3*o + 5*o - o) as z*o + s and give z.\nAnswer: 1233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 3*o - 15 = 0. Let f(r) = -r**3 + 9*r**2 + 116*r - 61. Let x be f(16). Sort 4, -4, x, o in ascending order.\nAnswer: o, -4, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1520, 0.5, 2\/251, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/50)\/((-1978)\/115 - -20) - (-197)\/658?\nAnswer: 4\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -25721*q + 4346848. Give s(169).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 1360549*t + 78. Let g be s(-22). Round g to the nearest one million.\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + s + 0)*(-20 + 20 - 80*s + (-18 + 18 + s)*(3 - 3 - 2) + (0 - 1 + 0)*(0*s - 4*s + 11*s)).\nAnswer: -89*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, p: 7}. Give prob of picking 3 x.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 5*l = -4720, 2*q + 6*l - 1885 = l. What is the hundreds digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 9*t**2 + 3*t + 12. Calculate x(-9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 3 (c) 3\/4 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**3 - 195*d**2 + 1575*d + 6615.\nAnswer: 5*(d - 21)**2*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 176 divide 59988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 e when two letters picked without replacement from eeeeeeejjeej?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*p + 12*p + 273*p + 51*p.\nAnswer: 391*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.4566201 to three decimal places.\nAnswer: 13.457","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, c: 9}. Give prob of picking 3 c.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3434759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 433 + 1096881?\nAnswer: 1097314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 58131 and 432?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 42.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 853.50041 to the nearest 10.\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -173\/270 and 91\/60.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of -s**5\/4 + 1607*s**2. Let q(m) = 37*m**2. Give y(q(w)).\nAnswer: -20535*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 107 in ascending order.\nAnswer: -1, 0, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-5 + sqrt(1377)*-1)**2 + (-5 + sqrt(51)\/sqrt(3) + -2)**2).\nAnswer: 456*sqrt(17) + 8808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 1 - 3)*(2*f + f - f) - 4*f - f + 4*f + (1 - 3 + 5)*(-5*f + f + 3*f) as k*f + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -156\/2549315?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, r: 1, i: 7, a: 3, d: 2, m: 3}. What is prob of picking 1 i and 1 m?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -65 (base 14) to base 9\nAnswer: -108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5431792969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 13*z + 20. Let g(u) = 13*u + 19. Let f = -18 - -16. Let d be -7 + 7 + f\/1. Let s(k) = d*n(k) + 3*g(k). Differentiate s(t) with respect to t.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - -4) + -2 - -12?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 3, l: 3, w: 2, m: 1, p: 2, x: 9}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 280361 + 0?\nAnswer: 280361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2241487?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11888?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3)\/i**5)\/(((i\/(i*i**(-6)*i))\/i)\/i**(2\/11)) assuming i is positive.\nAnswer: i**(-130\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p - 5. Suppose m + 35 = -5*d, 2*m = -d - 3*m - 7. What is the lowest common multiple of 22 and v(d)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 160752?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express f**3 - 211*f**4 + 210*f**4 + f**2 + f**3 in the form d + g*f**4 + h*f**2 + y*f + x*f**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3313 - 2?\nAnswer: 3311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1314*z**5 - 226*z**4 - 18*z**2 - z + 5219?\nAnswer: 78840*z**2 - 5424*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -854206151*x**5 - 169500075*x**2?\nAnswer: -51252369060*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -10, 0.4, 7\/37, -3\/5, -2, -4?\nAnswer: 7\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-12) + 9\/6*1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29384039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 - -1.8. Let t = 14988 + -14984.5. Which is the second smallest value? (a) -2\/13 (b) q (c) t (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181710771 divided by 60570257?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*8\/(-20)*35\/4. Let p(z) = -v*z**2 - 238*z + 238*z. Let h(d) = d**2. What is p(h(x))?\nAnswer: -7*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) + -5 + sqrt(1900) + sqrt(1900)*-5 + -5)**2 - ((-6*(1 + sqrt(19))*4)**2 + 0).\nAnswer: -552*sqrt(19) + 5680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6195, -30752, -97415, -227238, -441275, -760580, -1206207, -1799210?\nAnswer: -2560643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 686.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 29 = -2*h, -4*f - h - 4*h = -31. Suppose 0 = -4*q - 0*q + 124. Let c(g) = -15*g. Let j be c(-2). Solve 5*p - j = v, -3*p = -5*v - q - f for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.32 - 27\nAnswer: -23.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.1 in 3, -2\/17, -2, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*r**3 - 10*r**3 + 10*r**3 - 4*r**3.\nAnswer: -37*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 13146, 26002, 38856, 51708, 64558?\n\"Answer: -g**2 + 12859*g + 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 10 = -t - 5*g, 2*g + 12 = 2*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 301.13402 - 301.53. Let d = i - -0.266. Let p = d - -0.13. What is p rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4801279 - -11682664.9.\nAnswer: 16483943.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 64.18, 0.2, -3, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1932, -0.1, 20?\nAnswer: -1932","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -395\/2148 - 9035219\/165396. Let i = v - -588\/11. What is the common denominator of i and -9\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2742176 or 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (5 + -11 + 8 + -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 k when four letters picked without replacement from {z: 1, k: 3, m: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2*s = -0*s + 12, 2 = 5*x - 4*s. Suppose 20000000 = 4*u - x*u. What is u rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6781431 is divided by 531.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.794729 + -0.055369. Let v = d + -4.73. What is v rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**3 + 704*f**2 = 0.\nAnswer: -352, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(2448) + 1*sqrt(2448)*4 + sqrt(2448) - (sqrt(2448) - (sqrt(2448)*-1 - sqrt(2448))*-4) - (5 + 3*(sqrt(2448) - (sqrt(2448) + 0))))*2)**2.\nAnswer: -99840*sqrt(17) + 26479168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + h - 1. Let d(j) = j**2 - 8*j + 1. Determine d(y) + 2*v(y).\nAnswer: 3*y**2 - 6*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 + 6*x - 17. What is the remainder when 158 is divided by y(4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wzw when three letters picked without replacement from {e: 2, m: 2, z: 2, w: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*o + 9 - 9)*(-4*o**2 + 6*o**2 + 0*o**2) - 2*o**3 + 4*o - 4*o.\nAnswer: -18*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3952 - 4*h + 3*h - 3946.\nAnswer: -h + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**4 + 2*p**4 - 2*p**4)*(0*p + 5*p - 2*p) + 2*p**5 - p**5 + p**5.\nAnswer: 8*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 26\/7 of a week?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 228147 - -81?\nAnswer: 228218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vhh when three letters picked without replacement from vvvvhhhvhv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -4*n**3 - n**2 - n. Let b = 8 - 3. Let k = 48 + -46. Suppose b*l + k*w + 8 = w, -4*w - 9 = -3*l. Calculate x(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-12)\/70)\/(334\/(-14)))\/(((-972)\/(-90))\/18)?\nAnswer: 2\/167","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 16*c**2. Let k(a) = -3*a - 4. Calculate k(f(p)).\nAnswer: -48*p**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1347622.\nAnswer: 2, 673811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2984045 by 596809.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 4:21 PM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**4 - 24*r**2 + 48.\nAnswer: 3*(r - 2)**2*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84)\/sqrt(7))\/sqrt(4) - (-3*sqrt(3)*3 + sqrt(3))) + -2*sqrt(24)\/(sqrt(8) + sqrt(200)) + 3)**2.\nAnswer: 52*sqrt(3) + 703\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19796 is divided by 75?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32 + 1?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.89 + 0.11. Let q = -7 + f. Let t = 0.00000048 - q. Round t to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + j + 3. Let q be f(3). Let w(p) = -30*p + 512. Let a be w(17). Let r be 10\/(-6) + 2\/3. Put r, a, q in decreasing order.\nAnswer: a, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m - 8 = -2*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 19*q**2 - 2531*q - 1786. Determine w(134).\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1256672675 to the nearest integer?\nAnswer: 1079","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.2, -2\/3, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9083?\nAnswer: 31, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -805 - -1605. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96395379 to the power of 1\/2, to the nearest integer?\nAnswer: 9818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 138 = 114. Let k(j) = 3*j**3 + 4*j**2 + j + 2. Let m(o) = 25*o**3 + 33*o**2 + 8*o + 17. Let x(y) = b*m(y) + 51*k(y). Let x(v) = 0. What is v?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1541 (base 6) in base 7?\nAnswer: -1141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u**3 + 9177*u**2 + 36747*u + 27567 = 0. Calculate u.\nAnswer: -3, -1, 3063","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 2*m = -14, -4*b = -3*m - 10 + 1. Let g(z) be the first derivative of -z**4\/4 + z**3 - z**2\/2 + 3*z + 1. Determine g(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*g - 15 = 29. What is the remainder when (234\/15)\/(g + 343\/(-175)) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l - l - 10*l)*(12 - 5 + 3) - 3 + 2*l + 0 + 2 to the form v + s*l and give s.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*j**2 + 2\/5*j**3 + 532\/5 - 594\/5*j = 0.\nAnswer: -38, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/454 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of -1127*q**6\/120 - q**5\/30 - 7*q**4\/24 - 2*q**3\/3 + 2*q**2 + 22. Does 94 divide k(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 5:57 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 10 = -0*f, 0 = l + 4*f - 68. Suppose 14*x - l = 10*x. Solve q + 2*q - x = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*i + 3129 = 53*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -79 + (-65 - -148) + -33.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8\/7 + 86\/63. Let h be (-5)\/(-3) + (-4)\/6. Sort -4, h, r in ascending order.\nAnswer: -4, r, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 5*r = -2*f + 9151, 3*r - 15225 = -5*f. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**2 - 8921*z**4 + 8937*z**4 - z**3 - z**2 to the form d*z**3 + x + n*z**2 + b*z**4 + t*z and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*j**2*l*v + 47*j**2*v**3 - 2*j**2 + 4*j*v**3 + l*v + 15*v**3 wrt j?\nAnswer: -10*l*v + 94*v**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -8*b + 3\/2*b**2 + 0 + 3\/2*b**3. Differentiate v(s) wrt s.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11101000011001 (base 2) in base 8?\nAnswer: 35031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4186 + 8312 - 3135)*(-1 + 1 - 2*u)*(0 + 2 - 4)*((2 - 1 + 0)*(-u + 0*u + 4*u) + 1 - 1 - u).\nAnswer: 7928*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 a, and 2 n when four letters picked without replacement from nnaahahanaahnnnnn?\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 + 35 = -32*g. Let v(k) = 57*k**3 - 2*k**2 + 1. What is v(g)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11486916 and 736596.\nAnswer: 425015892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -81*d - 1. Calculate p(1).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7.06 - -6.96. Put -1\/12, 0.8, a in increasing order.\nAnswer: a, -1\/12, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -341 + 617. Is a a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**3 + 3*h**2 - 3*h + 3. Let b(r) = 3*r**3 + 4*r**2 - 4*r + 4. Let j(i) = 2*i**2 - i**2 - 4 + 0 + 3*i. Let y be j(-3). What is y*n(z) + 3*b(z)?\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38 + -36. Let b(x) = x - 2. Let o(m) = -m + 3. Calculate j*b(h) + 3*o(h).\nAnswer: -h + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 3*w + 147 = -0*u, -5*w + 10 = 0. Let b = u + -43. What is the third derivative of -b*j**3 + 29*j**2 - 12*j**2 + 4*j**3 + 15*j**6 wrt j?\nAnswer: 1800*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - b**2 - 1)*(b**2 + 6*b**2 - 4*b**2).\nAnswer: -3*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -102222111211110 (base 3) to base 2\nAnswer: -11000010010100111001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -140\/3 + 346\/15*q + 2\/15*q**2.\nAnswer: 2*(q - 2)*(q + 175)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.275 + -6.375. Let m = -125.1 - -115. Let v = b - m. Sort -0.2, v, -2 in increasing order.\nAnswer: -2, -0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**3 + r**3 + 0*r**3 + (0 + 0 - r**3)*(-27 + 38 + 23).\nAnswer: -36*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -48*f**3 + 1 - 1934*f + 1934*f as n*f**3 + a*f + c + x*f**2 and give n.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00340189 rounded to 5 decimal places?\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*f, 5*k - 5*f = -4*f + 11. Find the second derivative of -10*c**2 - 21*c**2 + k*c + 33*c**2 - 5*c**4 + 13 wrt c.\nAnswer: -60*c**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -136 or -132?\nAnswer: -136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 8*t**2 + 2*t - 5. Let q be c(-5). Suppose -5*g = -2*z - 0*z + 12, 0 = 5*z - 5*g - q. Calculate the least common multiple of z and 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 43 + 28 = -5*q, l = 2. What is the units digit of 1\/2 + q\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-21)*(-1)\/(-1 - 0)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 9:11 PM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*a + 4*a - 12. Let j be a\/9 - 80\/(-12). Find the second derivative of 10*c**3 + 6*c - 6*c - j*c - 4*c**3 wrt c.\nAnswer: 36*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 6:04 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 431021?\nAnswer: 431021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 + 3*u**2 + 0*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3*j**3 + 15*j**2 - 5*j - 19. Let w(y) = y**3 - 7*y**2 + 3*y + 9. Suppose 4*f + 12 = -8. Let q(o) = f*w(o) - 2*i(o). Is 6 a factor of q(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -2*o + 16 - 0, 4*o - 20 = 0. Let i be (-4 - -5)\/(1\/k). What is the units digit of ((-8)\/2 - i) + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1000 (base 2) to base 4\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**2 - 2 - 1 - 7*q**3 + 4 + (q**2 - 4*q**2 - 2*q**2)*(10*q + 55 - 55).\nAnswer: -57*q**3 + 3*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1632, -2774, -3534, -3912, -3908, -3522, -2754?\n\"Answer: 191*n**2 - 1715*n - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -781 = -4*o - 7*w - 888, 2*o = -w - 11 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 18*z + 13. Calculate l(9).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -467, -467, -451, -413, -347, -247, -107, 79?\n\"Answer: j**3 + 2*j**2 - 13*j - 457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of q**5\/10 - 113*q**4\/4 + 2128*q**3 + 113*q**2\/2 - 12769*q\/2 + 659. Factor b(x).\nAnswer: (x - 113)**2*(x - 1)*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2*c + g, -3*g = 2*c - 1. Suppose -3*b - l - 3*l = -95, -3*b + 119 = -c*l. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1168197?\nAnswer: 3, 389399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/(-6) + (38 - 40)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 - 2 + 17)*(-7*x - 13*x - 172*x)*(-5 - 3*x**3 + 5) to d*x**4 + f + p*x**3 + l*x**2 + w*x and give d.\nAnswer: 4608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -3, 0.5, -0.1, -7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h - 10. Let y be k(5). Solve y*f**3 - 25 + 2*f - 22*f + 25 = 0 for f.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + 12229.2\nAnswer: 12229.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-88)\/50)\/(12584\/157300)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 267231*s - 1 = 5*c + 267227*s, -c - 17 = -5*s for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1420*b - 178121*b**4 + 2889*b + 179824*b**4 wrt b?\nAnswer: 20436*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 21*y - 520. Let b be a(30). Solve b + 75 = 37*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -5. Solve -2 = 11*z - n*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 3*m**2 - m - 6. Determine j(5).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 3*s + 14. Solve -p - 5*u = -5, 3*p + 3*u + s = 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 34 = -2*p - p, -4*w + 3*p - 100 = 0. Which is the second smallest value? (a) w (b) -0.3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 52*i**2 - 195*i + 2380. What is z(49)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3362*m**3 + 2671560*m**2 - 7019784*m + 4618944 = 0. Calculate m.\nAnswer: 54\/41, 792","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 373548?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4\/((-40)\/45) + 3)*-788?\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/(-4))\/((-412)\/(-618)))\/(-9)*(-2)\/(-19)?\nAnswer: -1\/114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4\/3 (b) 0.1 (c) 1 (d) -2 (e) -11986.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 + -9. Suppose 2*n + 3*x - u = 0, n - 21 = -5*x - 0*x. Suppose -5 = -5*b, -6*b + 163 = 3*m - 5*b. Calculate the greatest common factor of n and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -21\/10*h**5 + 0 - 81\/2*h**2 + 0*h**3 + 0*h**4 + 26*h. What is the derivative of x(u) wrt u?\nAnswer: -126*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-5))\/(b\/(b*b\/(b*b**(-2)\/b)))*b**(1\/3)\/b**4)\/((b\/b**4)\/(b*b*b**(-4))*b**(-2)\/(b\/b**3*b)) assuming b is positive.\nAnswer: b**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 21*v**2 - 209*v - 6. Give t(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 16 (b) -3 (c) -21 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3908 divide 103963336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**2\/9 + 2228*l\/9 + 2992\/3 = 0 for l.\nAnswer: -4, 561","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - (8 + -15 + 8)) + 14.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -49*x + 152 + 152 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*p**2 + 890257 - 890257.\nAnswer: -15*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3745116751?\nAnswer: 41, 3457, 26423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 55291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2657 = 2*l - 3*h - 5385, -5*h - 16082 = -4*l. Is 13 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29425 times -29\nAnswer: 853325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*x + 23*x = 36 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 30\/1578523?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 769911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*b - 3*s, 3*b - 4*s - 9 = -3*s. Let n be (b - (-5 - -7)) + 3 + 0. Solve h - 2*k + n = 0, 3*k = -4*h + 6*k - 10 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 784017 < 22736515\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/16 and -137\/1950.\nAnswer: 15600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 24289 + 24273 = 4*z, -4 = z + 2*b for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 + (-6 - -1 - (-576)\/57). Which is the second biggest value? (a) -4 (b) j (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133236451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/490 and -83\/294.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -1936, 2\/85, -4 in decreasing order.\nAnswer: 5, 2\/85, -1, -4, -1936","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18426938*t**2 + 19992472*t wrt t?\nAnswer: 36853876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6762\/(-92))\/49)\/((-6)\/(36\/93)).\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 400 + -420. Sort 1, -0.5, z, -0.3 in decreasing order.\nAnswer: 1, -0.3, -0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (473*w - 469*w - 391 - 45)*(2*w**2 - w**3 - 2*w**2).\nAnswer: -4*w**4 + 436*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3873780*w. Let f(r) = 5*r + 13. Calculate f(i(p)).\nAnswer: -19368900*p + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 118825 and 0.2.\nAnswer: 23765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 0*s**2 + s**2 + 0*s**2. Let o(n) = -5*n + 1. Let p be o(-1). Let q(i) = -p*i + 2*i + 2*i. Calculate m(q(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zgzlzgzllllzggzlzllz. What is prob of sequence zgzz?\nAnswer: 56\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 48\/5*t - 32\/5*t**2 - 52\/5*t**4 - 20*t**3 - 8\/5*t**5 = 0 for t.\nAnswer: -3, -2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3007315 is divided by 643.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000089280524 rounded to seven dps?\nAnswer: -0.0000089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22083740 divided by -2.\nAnswer: 11041870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 109?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + 603*j + 6919. Determine u(-11).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m - 25*m - 4*m)*(0*m**3 + 0*m**3 + m**3) to d*m + c*m**2 + t*m**4 + l + u*m**3 and give t.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -69149178 by -23049726.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1256 - -1262.29. Let l = -1.29 + f. Which is the biggest value? (a) l (b) 0.2 (c) 2\/5 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 8:05 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/5 (b) 11 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*p**2 + 16*p + 13*p**2 - 5*p.\nAnswer: -6*p**2 + 11*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**17*b**(-25))\/(b\/b**19*b\/b**(-2\/45)) assuming b is positive.\nAnswer: b**(448\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -3) + 0 + 0. Suppose z*n = -3*n + 20. Differentiate 6*i**4 - i**n - 3*i**4 - 6 - 5 wrt i.\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 169\/16002 and 31\/1778?\nAnswer: 16002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 3*p - 60, 0 = -4*n - p + 63 + 32. Suppose 3*t = 5*b + 94, 5*t - 175 = -2*b + n. Suppose -2*i + m + m = -t, -2*m = 6. Is 12 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33025 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5061?\nAnswer: 3, 7, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -82\/223?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -523116 - -746951.\nAnswer: 223835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 - b**2 + 3*b**2)*(2 - 2 + 2*b**2) + b**4 + 2 - 2 - b**4 - b**4 + b**4 - 1 - 2*b**4 + 1 + (-4*b + 4*b - b**2)*(-3*b**2 + 5*b**2 - 3*b**2).\nAnswer: b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s + 71812 - 4*s + 72165 - 143977.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -56, -60, 4?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 + 13.9. Let w = -27.4 + t. Let v = 33 + w. Sort 4, -0.3, v in increasing order.\nAnswer: -0.3, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21\/2, 5, -271\/6, 2 in ascending order.\nAnswer: -271\/6, 2, 5, 21\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f**3 - 3*f**2 - 10*f + 2. What is the tens digit of d(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-4 - 1) - 644\/20. Let j = 43 + b. Calculate the highest common divisor of 22 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9011*h**4\/10 - 156791*h**3\/2 - 8326077*h**2\/5 + 8724496*h\/5 - 1936\/5 = 0. What is h?\nAnswer: -44, 2\/9011, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5045*k**2 + 2 - 5 + 13023*k**2 + 3 to a*k + x + p*k**2 and give p.\nAnswer: 18068","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -3 - ((-95)\/(-20) - 1)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 n, and 1 e when three letters picked without replacement from eenjejnennenn?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from szzpzspzpzpszsp. What is prob of sequence pzp?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -47959, -47961, -47963, -47965, -47967, -47969?\n\"Answer: -2*o - 47957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t**2 - 21*t + 5. Let m be c(-7). Let n be (3\/5 - 1)*-5. What is the second derivative of m*w + 5 + 14*w**n - 2 - 3 wrt w?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -60 - 13 - 21 - 28 - 134*n. What is the hundreds digit of s(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5195872 and 118088?\nAnswer: 5195872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 0*q = -3*c + 15, 20 = -3*q + 4*c. Let p = q - -10. Suppose p = -y + 2*y. Solve 5*z = v + 4*v - 10, y = 4*v - 2*z for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4760, 9659, 14544, 19409, 24248, 29055?\nAnswer: 33824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 + 16. Let y = k + -7.3. Let p = y + 11. What is the third smallest value in p, 3\/2, -0.5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191 = 2*g + 7. Suppose p + 30 + 89 = 0. Let l = g - p. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7159 - 50117\/7. Let o = 2.2 - -0.8. Let i(s) = s**2 - s + 2. Let l be i(2). Sort f, o, l.\nAnswer: f, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 440 = 2278*c - 2273*c. Let v be 3*2 + (-462)\/c. Factor 9\/4*i**4 + 3\/4*i**2 - 9\/4*i**3 + 0 + 0*i - v*i**5.\nAnswer: -3*i**2*(i - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/20752016 and -69\/8.\nAnswer: 20752016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -48450005*q + 11. Let a be k(1). Let p be a\/15 - 3*10\/75. Round p to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**4*l + 10015*a**3*l**2 - 15750*a**2*l**2 wrt a.\nAnswer: 24*a*l + 60090*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 2654?\nAnswer: 264a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (66\/4)\/(-8 + 17). Let m(n) be the second derivative of -13*n**3\/6 + 60*n**2 - 2*n + 57. Let r be m(9). Which is greater: p or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of 0*b**2 - 2 - 2\/5*b**5 + 0*b**4 + 0*b**3 - b. Differentiate l(p) with respect to p.\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 82 (c) 81\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34\/((-1292)\/247)*(-9)\/78.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 330438.2us?\nAnswer: 0.3304382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-10)\/(-6))\/((-1)\/(-3)). Suppose -2*g = z - 25, g + v*z - 2*z = 0. What is the remainder when (246\/8)\/((-108)\/(-144)) is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51 + -49. Solve 0 = -5*g - 10, 5*c = c + v*g for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 6*r**2 - 5*r + 5. Suppose 0 = -22*m + 53 + 57. Suppose m*j + 6*o - 10*o + 569 = 0, 4*j + 456 = 3*o. Let t = j + 112. Calculate b(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 11:06 PM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**2 - 46*x + 2. Calculate the remainder when n(-7) is divided by 88.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -36*q**3 + 17416*q**2 - 5046016*q + 487779952. Let r(t) = -7*t**3 + 3483*t**2 - 1009203*t + 97555991. Let d(f) = -3*o(f) + 16*r(f). Solve d(p) = 0.\nAnswer: 290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r + 28. Give g(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 4*o**2. Let q(p) be the first derivative of -p**2 + 54*p + 1064. What is q(s(w))?\nAnswer: -8*w**2 + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 8*h + 0*h - 2 - 5*h. Does 5 divide z(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 2*y + 6716 = 2*c + 6647, -2*c - 11*y - 154 + 552 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**5*n**(-1\/4) assuming n is positive.\nAnswer: n**(19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2963 and -383?\nAnswer: 2580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1348 - 1367. What is the third smallest value in d, 3\/5, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34717.102 + -34765. Let h = y + -0.102. Let x = h - -48.74. Round x to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*z - b + 667 = 0, z = b - 225. Let c = -121 - z. Suppose 0 = 2*h - n - 30, -5*h = 3*n + 3 - c. What are the prime factors of h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, 4, 13, 16, 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2129 divided by 18\nAnswer: -2129\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 68 - 36 - 33. Let d(y) = -82*y - 17. Let f(l) = d(l) + r(l). Differentiate f(n) with respect to n.\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -227.1305723 rounded to 1 dp?\nAnswer: -227.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 76 + -27 - 34580\/700.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*d - 4*d - 5*b - 40, -3*d = 4*b + 31 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 636 - 23.\nAnswer: 613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2314 - 2314 - 4*m + 5*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 94*a - 106*a. Factor -11*o**5 - 116*o**a + 7*o**4 + o**3 - 146 - 270*o + 12*o**5 - 70 + 17*o**2.\nAnswer: (o - 4)*(o + 2)*(o + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -173319 divided by 78\nAnswer: -57773\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v - 10 = -26. Let o(c) be the second derivative of 0 - c**3 - 1\/3*c**4 - c**v + 3*c. Factor o(h).\nAnswer: -2*(h + 1)*(2*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wllllllwlww. Give prob of sequence ww.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54090?\nAnswer: 2, 3, 5, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (178 + -305 - -128)*(-2)\/18*1?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2228711.76 nanoseconds to days.\nAnswer: 0.000000025795275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 73.6 + 7.4. Let g = k + -81.142. Round g to two dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -17788, -35577, -53366, -71155, -88944?\n\"Answer: -17789*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12121 (base 8) to base 4.\nAnswer: 1101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/100 of a gram?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: 4 (base 14) to base 4\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50 and 2025.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 4*y - 4 - 17)*(0 + y + 0).\nAnswer: 2*y**2 - 21*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((m*m**0)\/m*m)\/m)\/m**(3\/8))\/(m**(5\/4)*(m\/m**(-9))\/m))**28 assuming m is positive.\nAnswer: m**(-595\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1676 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 = 949\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8865.964 millennia to decades.\nAnswer: 886596.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -66705, -66718, -66739, -66768, -66805?\n\"Answer: -4*l**2 - l - 66700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -261*w - 24 = -255*w. Sort 12, w, 0.2, 2 in increasing order.\nAnswer: w, 0.2, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11164 is divided by 427.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c + 11. Let n be r(5). Let f = 0 + -2. Calculate the remainder when 1 is divided by f*(-2 - (-9)\/n).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -u**4 + 15*u**3 + 59755*u**2 - 8242194*u - 2.\nAnswer: -12*u**2 + 90*u + 119510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.431 + -11.\nAnswer: -12.431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 30 = -t. Suppose -t = -5*r + 2*r. Suppose -q + 46 = 3*x, 5*x = r*q - 194 - 96. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5500*x**3 + 48*x**2 - 3*x + 2?\nAnswer: 33000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 20638486, 41276957, 61915428, 82553899?\n\"Answer: 20638471*j + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5769 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*y - 5*y = -30, 4*z - 35 = -3*y. Let o = 13 - z. Suppose 8 = 4*a - o. Let q(k) = -k**2 + 3*k - 1. Determine q(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98 - (58 + -22) - 38.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 2*s**2 + s. Let b(h) = -12*h**3 + 12*h + 90. Let a(t) = -b(t) + 9*x(t). Let a(v) = 0. What is v?\nAnswer: -5, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88494969 - -0.0566?\nAnswer: 88494969.0566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - (1 - 1713\/840). Let s = 3\/35 + d. Let r = 73\/28 - 65\/28. Which is the closest to s? (a) r (b) -3 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 792 = -5*u + 52*j + 7*j, 4*u + 3*j - 19 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, r: 4, n: 5}. What is prob of picking 3 r?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101000110 - 110111?\nAnswer: -1101111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 - 17. Suppose b*s = 6*s - 150. Suppose 0 = o + 3*x + 14 + 1, -5*x = -3*o + s. Solve o = 4*p - 5*p - 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15844 (base 10) in base 5?\nAnswer: 1001334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(55) + sqrt(55)*-2)\/sqrt(5) + sqrt(11) + ((sqrt(77) + (-2*sqrt(77) - sqrt(77)) - sqrt(77)) + sqrt(77) - sqrt(77))\/sqrt(7))*6*-3.\nAnswer: 54*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 243 + -246. Suppose 232*s = 237*s - 15. Sort 38, s, -4, v in descending order.\nAnswer: 38, s, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 64*q**3 + 560*q**2 - 35775*q - 455625.\nAnswer: (q - 25)*(8*q + 135)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 54 + -48.1. Let h = -6 + f. Sort -5, -1\/3, h in descending order.\nAnswer: h, -1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 0. Let k(r) = -5*r**2 + 8*r + 7. Let c(o) = 11*o**2 - 17*o - 14. Let p(f) = -2*c(f) - 5*k(f). What are the prime factors of p(w)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4036, -5909, 3 in descending order.\nAnswer: 4036, 3, -5909","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -744 or 1606?\nAnswer: -744","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r + 2. Let l be d(-1). Let h = 42 + l. Is 8 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p - p + 3*p)*(p - 2*p - p) - 1 - 3*p**2 + 1.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, g: 1, c: 2, r: 5, l: 1}. What is prob of picking 3 r?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12241244 and 15732.\nAnswer: 110171196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = s - 2*y - 2512, -2470 = -4*s - 5*y. What is the greatest common divisor of 200 and s?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1145 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20032, 20034, 20036?\nAnswer: 20038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -4*n**5\/5 + 4*n**3 + 4*n**2 - 336. Factor i(a).\nAnswer: -4*a*(a - 2)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, -0.3, -2\/15, 0.3, -2.8, 0.1, 1\/85?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 15 = -7*b. Let y = 6 - 3. Is y less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -36, -36, -72, -156, -300?\nAnswer: -516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 less than -234.86886?\nAnswer: -735.86886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Divide -1661791254 by 2.\nAnswer: -830895627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**4 + 2504*f**3 + 823488*f**2 + 33619968*f - 3037741056 = 0.\nAnswer: -144, 42, 872","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 36*n**4 - 28*n**2 - 8*n = 0.\nAnswer: -2\/3, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 78\/(-24) - 12\/16. Let c be (-7 - o)\/(0 + -1). Let p be 4 + -1 - (5 - 5). Solve -3*s + c*v = -3, 17 + 4 = 5*s + p*v for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 210891543 to the nearest integer?\nAnswer: 595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(21\/(-6) + 3). Suppose 4*d - 3*d = x. What are the prime factors of 1*(-1)\/d*-6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3806348 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-4)*(-2)\/4. Let x = 6 + -6. Let l = -6360.5 - -6360.3. Which is the nearest to l? (a) x (b) d (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -x**5 - 19*x**2 + 9*x**4 - 9*x**4 - 99*x wrt x?\nAnswer: -20*x**3 - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -3. Find the second derivative of -5*y**5 + 2*y - x*y - 3*y wrt y.\nAnswer: -100*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197432 to the power of 1\/2, to the nearest integer?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 4 + 2)*(1 + 10 + 1) - 204 + 135 + 271 + 347 + (-3 + 8 - 3)*(2 + 2 - 2))*(-2*k + 0*k + k).\nAnswer: -565*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 10 - 14) + 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**2 - 21*y + 30*y + y**2)*(0*y + 12*y - y)*(-3*y - 1 + 1).\nAnswer: 66*y**4 - 297*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1936)\/(-66)*(1140\/96 + (-7 - 3))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1071*b + 0 - 982*b - 1070*b - 1062*b + 0 + 4188*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 22213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddddddddud. Give prob of picking 2 d.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*a + 11 = 12*a - 3*n, 4*a + 4*n = -16 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/(2*sqrt(3)) - sqrt(15) - sqrt(15))\/sqrt(5) - ((-1 + sqrt(243))*-3)**2.\nAnswer: -2196 + 321*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5485681?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 1599*o**2 + 10*o - 18. Let d be a(3). Let y be -2*(d\/(-54) + (-4)\/(-18)). Round y to the nearest ten.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 106.8? (a) -1\/4 (b) 3.921 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -d**2 + 31964*d - 255424324 = 0.\nAnswer: 15982","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120010012 - 1101000022?\nAnswer: -1221010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -1. Let r = 3 + -6. Sort 4, j, r in decreasing order.\nAnswer: 4, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 81.60893t?\nAnswer: 81608930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -171, -756, -1711, -3036, -4731, -6796?\nAnswer: -9231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-82*n - 33 + 33)*(2*n - 3*n - 2*n + (-n - 2*n + n)*(-3 + 4 - 3))*(2 - n - 2).\nAnswer: 82*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -645 - -655. Suppose 2*r = -4*x, -13*x = -k*x + 5*r. Solve 3*u - 2*u = x for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3031*y**5 + 431*y wrt y.\nAnswer: 60620*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84100 and 260?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 49725954 and 48.\nAnswer: 397807632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 12089*j + 3 + 3457*j.\nAnswer: -8632*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) -86888 (c) 0.4 (d) -1 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z**2 + 5*z + 9. Let p be q(-9). Let d be (p\/(-39) - 5)\/(1\/(-2)). Put 0.5, 0.2, d, -0.4 in decreasing order.\nAnswer: 0.5, 0.2, d, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80579?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 8 = -3*g, 4*y - y - 3 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 252 and 81354?\nAnswer: 488124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 969 (b) 2\/7 (c) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 1\/4, -2, 3, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ze when two letters picked without replacement from {e: 4, z: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 66 - 210 = 0. What is the third derivative of 20*o**2 - 68*o**4 + 16*o**2 + a*o**4 wrt o?\nAnswer: 576*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-3)*c*c**(-17))**45)**(15\/7))**(1\/68) assuming c is positive.\nAnswer: c**(-12825\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18.48 - 18.48032636. Round x to 6 dps.\nAnswer: -0.000326","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/7)*q*q**(-1) assuming q is positive.\nAnswer: q**(1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 23162423 (base 7) to base 11\nAnswer: 1168865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 12404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -m**5\/10 - m**4\/6 + 181*m**3\/6 + 1579*m**2\/2 + 3346*m. What is the derivative of p(q) wrt q?\nAnswer: -6*q**2 - 4*q + 181","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 g, and 1 u when three letters picked without replacement from {u: 14, j: 1, g: 2}.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1884046 by 2.\nAnswer: -942023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**2. Let r(b) = -23*b. Let u(v) = -43*v. Let t(o) = 5*r(o) - 3*u(o). Determine l(t(h)).\nAnswer: -392*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v. Let h be z(4). Let i be (-30)\/(-4) - 2\/h. Let y = 15 - i. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33681398 times -4?\nAnswer: 134725592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 2*f = -0*f - 4*f - 4*f - 22, -5*k - 23*f - 30 = -3*f for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yq when two letters picked without replacement from {i: 1, q: 1, y: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-33)\/(-198)*(-3 + 3). Solve 638*d - 645*d + 49 = n for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 426881?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -x**3\/6 + 9*x. Let i(r) = 12*r. Let j(w) = -44*w - 100*w + 48*w. Let c(v) = 33*i(v) + 4*j(v). Calculate o(c(k)).\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, u: 2, p: 2, m: 6, a: 4}. Give prob of picking 2 s and 2 u.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d**3 - 22*d + d**3 - 7*d + d**2 + 1 - d**4 - 3 + 2*d**4 to p*d + n + z*d**4 + c*d**2 + r*d**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 498 divided by -1.\nAnswer: -498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 60.8 + -44. Let s = 16.799927 - b. Round s to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -45*f**3 - 16*f**2 + 9*f - 9. Let n(u) = 45*u**3 + 17*u**2 - 8*u + 8. Determine -8*g(i) - 9*n(i).\nAnswer: -45*i**3 - 25*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -2573695?\nAnswer: -3\/2573695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -3*g - 9, 0*g + 2*g = 3*n - 6 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of l**3\/3 - 4*l**2 - 8*l + 2. Let v be q(10). Suppose 4*g - 7*g + v = 0. Put 0.4, 5, g in descending order.\nAnswer: 5, g, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 206564 + 3?\nAnswer: 206600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1*(6\/7)\/((-2)\/(-14))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 360 = -4*v, 4*v = 7*k - 4*k + 360. Calculate the greatest common factor of v and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 1151*r - 7917. Let o(s) = -5*s + 1. Calculate the remainder when t(7) is divided by o(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 29 (b) 1 (c) -4\/5 (d) 508\/103\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 times 123779?\nAnswer: -1114011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1831 divide 7035729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 4*t - 1. Let w(v) = 7*v - 1. Let p(q) = 5*r(q) - 2*w(q). Let k(z) = -z - 1 + 5 + 7 - 10. Let u = 518 + -517. Give u*p(m) + 2*k(m).\nAnswer: 4*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 4, -5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -21*n + 17*n. What is the lowest common multiple of 4 + 1\/((-7)\/(-798)) and n?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 12*n + 390, 3*n + c - 1746 = -1845 for n.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence la when two letters picked without replacement from auqasllaqaqsllus?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1557294 decades to months.\nAnswer: 18.687528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3324 + 5?\nAnswer: 3331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 2\/1613541, -0.05 in increasing order.\nAnswer: -0.4, -0.05, 2\/1613541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m - 14*m + 3*m.\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*q + 58*q = 0. Solve 4*y - 2*j + q = 8, 0 = 5*y - 4*j - 13 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -365\/2 + 165. What is the common denominator of r and 39\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -21 - 80a?\nAnswer: -82b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a06 + -5?\nAnswer: -a0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pk when two letters picked without replacement from {c: 2, p: 1, k: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - 1)*11\/33. Are d and 10\/43 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -2118?\nAnswer: -2119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, 0.5, 2.1, -5\/3, -196?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/15)\/(8\/24)*5\/6\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/149 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*c + 2*f, 3*c = 5*c + 4*f + 12. Suppose -4*p - 3*b = -b, -b - c = 0. Suppose -z + p = -2*l + 6*l, -5*z + 10 = 2*l. Solve 0*h + 5*h = l for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 4, 0, -3093, 4\/3, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.85 + -271.15. Let l = k + 277. Which is the closest to 0? (a) 0 (b) -0.02 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 - 7 = -7*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28877505?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 8*z - 5. What is the remainder when 37 is divided by x(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c - 7. Let s be q(14). Suppose s*d**4 - 29\/4*d**3 - 1\/4*d**2 + 0 + 1\/2*d = 0. What is d?\nAnswer: -1\/4, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y*y*y**(-1))\/y)**(-49)*y*y**(2\/3)*y**7)\/((y\/(y\/y**5))\/y**(2\/19)*(y\/(y\/y**(-1\/5)*y*y))\/y**5) assuming y is positive.\nAnswer: y**(-10838\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/4)*w*w**(-6))\/(w*(w**(-1\/4)\/w)\/w)**(7\/5)*w**(-4)*w*w**(5\/4)*(w\/(w**(-6)*w))\/(w**(-1\/6)\/w) assuming w is positive.\nAnswer: w**(23\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31262193 and 1143.\nAnswer: 1143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + -2 + 9 + -7. Find the third derivative of -236*y**6 - v*y**2 - 2 + 2 + 225*y**6 wrt y.\nAnswer: -1320*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 - 8 + 8*q - 6 + 8. Let v be t(5). Let l = 4 + v. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 29 (b) -1\/3 (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mpppmmmm.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ad when two letters picked without replacement from {k: 3, a: 2, y: 1, d: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -109, 128, 1093, 3152, 6671, 12016?\n\"Answer: 61*h**3 - 2*h**2 - 184*h + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 36107 divided by 36107?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1898 - -5246. Is 124 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 2*y. Which is smaller: y or 1\/9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 6*m**2 - m + 4. Determine a(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of k**6\/120 - k**5\/15 + k**4\/8 + 53*k**2. Determine z(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2*d = -54, 2*f - 71 = -2*f + 3*d. What is the highest common factor of f and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 5*i + 4. Let z be -2 - 12\/(-9)*6. Calculate the lowest common multiple of s(z) and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o + 36. Let g(r) = -2*r + 30. Let n(y) = -6*g(y) + 5*w(y). Let t(i) = -86*i. Calculate n(t(c)).\nAnswer: -172*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -90, -180, -314, -504, -762?\nAnswer: -1100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3181 + 296. Suppose -x = -3*o - a - 1325, 4*o + 3*x = -6394. What is o rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 372 - 369. Let y(b) = b**2 - b**v - 4 + 3 + 0 + 2*b**3 - 3*b. Give y(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/3 - (1 + -9). Suppose 0 = 4*r - 1 + d. Let a be (4*-6)\/(3\/r). Calculate the greatest common divisor of a and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-61)\/(-488) - 21\/24)*(-16)\/3. Factor -10*j**3 - 25\/4 - 20*j - 45\/2*j**2 - 5\/4*j**u.\nAnswer: -5*(j + 1)**3*(j + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14214 is divided by 7105?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18043 is divided by 1032.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -11. Let f(q) = q**3 - 8*q**2 + 2*q + 5. Let s be f(8). Suppose 2*h = 2*x - h - s, 4*x - 2 = -2*h. Calculate the remainder when t is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + -14)\/(8 - 520\/64). Suppose 97*t - o*t + 18 = 0. Let r = -0.1 + 0.3. Which is the closest to t? (a) r (b) 2\/3 (c) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a centimeter in millimeters?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -4*r**4 - 3*r**5 + r**3 + 2*r**3 - 2*r**4 - 6*r**5 = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - s - 8 = -3*s, 0 = -4*v + 3*s + 16. Let t be ((-2)\/v)\/(1\/4). Is 11 a factor of 2\/4 - 43\/t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2 = 2. Does 10 divide 42\/15*(y + 9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 40*q**5 + 15*q**2 - 3*q + 3. Let r(n) = 81*n**5 + 30*n**2 - 5*n + 5. Let b(z) = 3*r(z) - 5*s(z). What is the third derivative of b(t) wrt t?\nAnswer: 2580*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 1. Let i be a(-1). Let t = 18 - i. Is t a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10797 + -10268. Let k(x) = 60*x**2 + 5*x + 3. Let a be k(-3). Which is smaller: i or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66775 a multiple of 188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.481 and -1.\nAnswer: -0.519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 12 - ((-594)\/(-72) - 3\/12) - (-1300)\/(-328)\nAnswer: 3\/82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41*r + 16*r + 18*r**5 - 20*r**5)*(4 - 2 + 1).\nAnswer: -6*r**5 + 171*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2634655 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -5*m. Which is smaller: m or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 146, 314, 548, 848, 1214?\nAnswer: 1646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 (base 14) in base 5?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10125 - -62631?\nAnswer: 52504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -55 + 53*l - 126*l + 88. What is the tens digit of s(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3718440 by 3960.\nAnswer: 939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.461677 rounded to one decimal place?\nAnswer: -6.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 20*f**2 - 71*f - 339. What is w(-17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 378 a factor of 2110786020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yinywnyywywyynnwny. What is prob of picking 1 n and 1 i?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -525 = -8*u + 19. Let f = u - 28. Let c be (-1 - (-2 - 4))\/1. Calculate the highest common factor of c and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 20729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-6)\/p)\/(p*p**(-1\/8)))\/(p\/(p*(p*p**(-1\/21))\/p*p)*p)**(16\/7) assuming p is positive.\nAnswer: p**(-9389\/1176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -126771 (base 12) to base 3.\nAnswer: -120022221111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19\/3 - 5. Let a be (-2 + -1)\/(27\/(-12)). Let -1\/3*t**3 - a*t - r*t**2 + 0 = 0. What is t?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 11*y - 20 = 0. Put 3, y, 1 in descending order.\nAnswer: y, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1f9f (base 16) in base 3?\nAnswer: -102002211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + 8*m + 1. Let w be p(7). Suppose -4*x - 1172 = -w*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 3 = -6*n. Sort 5, n, 11.\nAnswer: n, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + b - 10790 - 9418, -w + 5*b = -5031. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**29)\/((r**(3\/8)*r*r)\/r) assuming r is positive.\nAnswer: r**(229\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4*f + 78, 2*z - 6*z - 5*f + 207 = 0. Let a(i) = 15*i + 2. Let d be a(2). Let v = z - d. What is the greatest common factor of 104 and v?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(637) + (sqrt(637) - ((2 + sqrt(637))*-4 - sqrt(637) - sqrt(637))))*5)**2 + -1.\nAnswer: 806400*sqrt(13) + 36748799","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, t: 5, n: 8, e: 2, h: 1, l: 1}. Give prob of sequence hrnl.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ashhxhxaaaxaaxsasaax. What is prob of picking 1 s and 2 x?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-6) - 7\/(-15). Let l = 1.26 + 1.74. Is v > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + a = -3 + 12, 4*m + a - 7 = 0. Let o(c) be the third derivative of c**4\/4 + 5*c**3\/6 - 17*c**2. Let p(h) = -3*h - 2. Give m*o(x) + 5*p(x).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - 1)*(-70)\/15. What is the greatest common factor of h and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000649427 rounded to 7 dps?\nAnswer: -0.0000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 256360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*l = -309, 5*l = -0*k - 3*k + 941. Is (2\/6)\/(4\/k) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.4 + -0.4. Let o = 6673.0006 + -6672. Let f = o - s. Round f to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 262286359?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -109, -134, -159?\n\"Answer: -25*i - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/v**(-3\/17))\/(v**(2\/13)*v))**3 assuming v is positive.\nAnswer: v**(678\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (5 - (13 + -4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -37?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 10:41 AM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of t**2 + 0*t**4 + 0 + 1\/4*t**5 - 5*t + 0*t**3. Find the first derivative of b(k) wrt k.\nAnswer: 15*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271 is divided by 40?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181626688?\nAnswer: 2, 79, 35923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 219525 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10.5 - 86.5. Let p = 2.39 - 104.39. Let w = g - p. Which is the closest to -0.4? (a) 2\/9 (b) -1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/4)\/(54\/(-72)). Let h be 3*(20\/(-2))\/((-174)\/29). Suppose 0 = 4*b + 4 + 8. Put 4, h, b, j in descending order.\nAnswer: h, 4, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.32901534 to four decimal places.\nAnswer: -21.329","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*c - 136 = 42*c. Let j = c - 56. Calculate the remainder when 107 is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 4533418 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: What is the second derivative of -7*f**3 + 22*f**2 + 16*f wrt f?\nAnswer: -42*f + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.5012561 days?\nAnswer: 43308527040000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/205 (b) -1\/25 (c) -2\/11 (d) -4 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 0 + 210\/(-42)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2590, -10328, -23238, -41332, -64622?\nAnswer: -93120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55*y + 6*y**2 + 1797 - 3588 + 1792 to u*y**2 + g + t*y and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.63 + -146.37. Let x = z - -148.99999905. What is x rounded to seven decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -4*j + 65. Calculate the remainder when 77 is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.3 - -5. Let f = 1.3 + a. Let b = -3 + f. Which is smaller: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 228*u**3 - 34*u**2 + 8*u - 11. Is c(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a4a8 (base 12) in base 15?\nAnswer: -18b62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d. Suppose 4*y + 8 = 0, t + 0*y = -2*y - 6. Let q(r) = r. Let x(z) = t*p(z) + 3*q(z). Let n(h) = 8*h. What is n(x(b))?\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1440698.\nAnswer: 2, 7, 61, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 424412597029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45804500 is divided by 45804495.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 414024 = -3*b, 2*u + 3*b - 33513 - 132102 = 0. Suppose 0 = -7*i + 3598 + u. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 697257 and 3366?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1411\/4 + 15369\/44. Calculate the common denominator of i and -49\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8051525 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 4 + -10 + 0 + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -15615687 < -15615687?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*a + 54*a - 229*a + 56*a + 62*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 137 by -2934.\nAnswer: -137\/2934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(52) - sqrt(2548)*-1)\/(sqrt(4) - sqrt(40)\/(sqrt(10) + sqrt(90))) + 3*sqrt(13)*-1 + (-3*sqrt(143) + sqrt(143) - sqrt(143))\/sqrt(11))**2.\nAnswer: 2548\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6824 - 4458. Suppose -2*r = -4*g - 1584, 3*g + g - i = -3*r. What are the prime factors of r?\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 3*m = -55, 3*h - 66 + 15 = m. Let f = h - 13. Suppose f*r = -2*a - 3*a - 15, -4*r - 3*a - 9 = 0. Solve 0 = j - r*j + 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3564\/792*4\/14. Suppose t - 14 = -4*g, 2*g + 24 = 7*g - 2*t. Which is the second smallest value? (a) o (b) -3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -20*s**3 + 1990*s**2 + 33*s + 22. Let k(b) = 7*b**3 - 663*b**2 - 12*b - 8. What is 11*k(a) + 4*q(a)?\nAnswer: -3*a**3 + 667*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 4655\/2 (b) -2\/9 (c) -2\/13 (d) -5 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t - 8. Let p(c) = -6. Let w(o) = -4*p(o) + 3*v(o). Let i(n) = n**2. Determine i(w(r)).\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8910617 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37 + 56. What is the highest common divisor of 19 and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*w = 38 + 19. What is the remainder when w is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.82526486 plus 2?\nAnswer: 39.82526486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 31284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeefehheeeeeee. Give prob of sequence fh.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*((-7)\/(-4) + -1). Suppose 12*c - 11*c - 2 = 0. Suppose c*k = s*k. What is the closest to 0 in 1, 2\/5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4c (base 16) in base 10?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from ttttsvtttttttttttttt.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 8:33 PM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-1)\/5*(-30)\/9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 953\/540 - 7\/108. What is the common denominator of u and -13\/70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d + 1. Let v(t) = -1 + 6*t - 3 + 1. Let r(w) = 9*w**2 - 133*w - 25. Let c be r(15). Give c*j(a) + v(a).\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9176760 by 29.\nAnswer: 316440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118\/7*n**3 + 38\/7*n + 4\/7 + 62\/7*n**4 + 12\/7*n**5 + 102\/7*n**2 = 0 for n.\nAnswer: -2, -1, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of -u**6\/120 + 7*u**5\/60 - 11*u**2. Let c be v(7). Suppose 3*t - 20 = -5*b, -b + 24 = 3*b + 4*t. Which is smaller: c or b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5014633 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(136)*-1*-5*1)\/(sqrt(8) + sqrt(88)\/sqrt(539) - -4*(sqrt(8) - (sqrt(8) + sqrt(8)*-2))))**2.\nAnswer: 187425\/4096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (572\/715 - 54\/55) + -4 + 2252\/44?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/3, 0.01, 4\/7, -17\/5, 48?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -5*f**2\/2 - 40*f - 65. Let y be m(-9). Solve 6*p - p + y = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 9, j: 2}. Give prob of sequence rr.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + -4 + (-6 - 24) + (0 - 4 - 49)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 6*w**3 - 2*w**2 - 8*w + 5. Let k(y) = -6*y**3 + 3*y**2 + 9*y - 6. Let l(s) = 5*k(s) + 6*n(s). Let c(o) = -o**3 - o**2 + o. Calculate -3*c(h) - l(h).\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 635 - 1149 + 30740 = 15113*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = 3*h - 3*q + 27, 0 = h + 3*q - 30. Find o such that -h*o**2 + 77*o**5 - 2*o**5 - 108*o**3 + o**4 - 88*o**4 - 3*o**4 = 0.\nAnswer: -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k**2 + k**3 - 4*k**3 + k**2 + 2*k - k**2 to the form y*k + q + w*k**3 + h*k**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 631273509?\nAnswer: 3, 59, 1188839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j + 17 - 9*j**2 - j**3 + 0*j**2 + 3*j. Is o(-11) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 713.00007796 + -713. What is r rounded to 6 dps?\nAnswer: 0.000078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*z = 38*z - 2*c, -z + 2*c + 15 = 0. Let o(h) = h**2 + 1. Let n = -14 + 8. Let m(t) = t**2 + 1. Let v(j) = n*m(j) + 5*o(j). What is v(z)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7966 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 y = 237\/4 - 2117\/36. What is i in 0 - y*i**3 + 2\/3*i**4 + 4\/9*i - 2\/3*i**2 = 0?\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13\/8 + -5\/4. Let z = -0.9 - -1.1. Which is the nearest to 1? (a) 0 (b) s (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*p + 6 = -50*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 5 - -2 - -6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1752103 divided by 1?\nAnswer: -1752103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54 + -88. Let l = -52 - v. Let s = l - -55. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by 2950893\nAnswer: -10\/2950893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(((f*f**(-15))\/f)\/f)*f*f*f**(-10))\/(f**18\/f**(1\/7)) assuming f is positive.\nAnswer: f**(-55\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/44416 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -108.7 in 0.3, 0.5, -1.5, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -8*j + 4. Suppose -4*c - 44 = -4*l, 0 = -2*c - 5*l + 2 + 4. Let h(d) = 9*d - 5. Determine c*w(x) - 6*h(x).\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -4*u - 11, 5*u = q + 2*q - 18. Let y be 2*(-1 - -2)\/q. Let w(s) = -s**2 - 3 - s**2 + 137*s - 78*s - 55*s. What is w(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*t = -51*t + 125. Let v(w) be the third derivative of w**4\/24 - 5*w**3\/6 - w**2. Determine v(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.5 + -0.3. Let o = 135 + -135. What is the closest to -2 in i, o, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*g**5 - 5*g**4 + 131*g**3 + 2*g**2 + 101170*g + 2 wrt g.\nAnswer: 440*g**3 - 60*g**2 + 786*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24186823 to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-4 - -5 - -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*m + 36. Let x(u) = u**2 + 4*u - 8. Let b be x(m). Let w = b - 15. Which is smaller: w or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -72, 47 in increasing order.\nAnswer: -72, -2, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12045*z**3 + 63*z**2 + 12034*z**3 - 60*z**2.\nAnswer: -11*z**3 + 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(55) + sqrt(55)*-2)*-4 + sqrt(55))\/((sqrt(20) - (sqrt(20) + sqrt(20)*1) - sqrt(20))\/sqrt(4) + sqrt(5)) + -2.\nAnswer: -10*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 6*u**2 + 16*u - 61. Let o be r(3). Solve 7*h = -42 + o for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 83440*k**3 - 2*k**2 - k + 2. Let m be x(2). Let c = -1002488 - m. What is c rounded to the nearest one hundred thousand?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 69 + -49. Suppose u + 9 = r + 2, 3*r - q = 4*u. Does 4 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2 + sqrt(13) + -2 + (sqrt(1573) + (sqrt(1573) - -1*sqrt(1573))**2)*-5.\nAnswer: -31459 - 54*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 1357 = i, i - 4*i + 4*x = -4067. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t**2 - 1 - 2 + 2*t**2 - 5*t**2 to u*t + j + s*t**2 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4 + -6*(-1 + sqrt(19)) - sqrt(76)\/(sqrt(256)*-2)).\nAnswer: -285*sqrt(19)\/16 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15 - (19 + (-9 - -2)). Solve 0 = a*p - 12 + 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 3 (c) 4\/7 (d) -0.19 (e) -0.4 (f) -1\/818\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 38?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3219629, 6439248, 9658859, 12878462, 16098057, 19317644, 22537223?\nAnswer: 25756794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -6, 59, -4 in ascending order.\nAnswer: -6, -4, 6, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20? (a) 0.4 (b) 0.5 (c) -222 (d) 1.36 (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -102*c**3 + 208*c**3 - 2*c**2 - 107*c**3 - 600*c in the form d*c**2 + y*c + r*c**3 + n and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*u - 12 + 3*u**3 - 6*u**3 + 5*u**3 to w + g*u + a*u**3 + p*u**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 0)\/((-4)\/(-16)). Suppose -5*u - l*m - 127 = -449, 180 = 3*u - 2*m. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 y when two letters picked without replacement from tvbbtbtvyv?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -270*b**3*d*g*x**2 - 2*b**3*d*g - b**3*g - 17*b**2 + b*d*g*x**2 + 6*b*d*x**2 - b*x**2 + d*g*x wrt b?\nAnswer: -1620*d*g*x**2 - 12*d*g - 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 4 = -16. Let b(n) = n**2 + 7*n + 7. Let r be b(k). Let s be 2\/8 - r\/4. Which is smaller: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*h**2*j**3 - 13935*h**2*j**2 - 2*h**2 + 41*h*j**3 - 38*h*j + 23192*j**3 + j**2 wrt j.\nAnswer: 12*h**2 + 246*h + 139152","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 8, 2, 5, 0 in descending order.\nAnswer: 8, 5, 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 826902293 and 4361?\nAnswer: 4361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6204 and 2121768.\nAnswer: 2121768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -29\/2490312?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 559113431 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-5)\/2)\/(90\/(-2628)).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8952 and 12.\nAnswer: 8952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*k**2 - 26*k**2 - 1366 - 2*k**4 + 14*k**2 - 1226 to the form x*k**3 + n*k**4 + f*k + y*k**2 + h and give h.\nAnswer: -2592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10225, -10237, -10261, -10297, -10345, -10405, -10477?\nAnswer: -10561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 6*g**2 - 5*g - 4. Let b be w(7). Suppose -3*y + o + b = -4*y, 4*o - 80 = 4*y. Which is smaller: 2\/3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4*a**3 - a**2 - 2*a - 2. Give c(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*k**2 + 50*k - 99\/2.\nAnswer: -(k - 99)*(k - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 4*c + 30 = 0. Let t be (87\/9)\/(16\/c) - 4. Let u = -11 + 1. Sort -4, u, t in descending order.\nAnswer: t, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 11 + 9. Let v(r) = r**2 - 4*r - 1. Let t be v(l). Suppose -t*a + 12 + 20 = 0. Solve -3*h = 1 + a for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32243*c**2\/3 + 1192997*c\/3 + 74.\nAnswer: (c + 37)*(32243*c + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3787418 and 10?\nAnswer: 18937090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/21)\/((-30)\/(-42)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 14) to base 9.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18 or 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 - 5)*(39*j**3 - 39*j + 39*j) + (2 - 2 + j)*(-j**2 + 3*j - 3*j) to the form g*j**2 + r*j + o*j**3 + d and give o.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 124\/12 + 1\/(-3). Let g be (1\/2)\/(1\/(-10)). Let f = g + q. Solve 2 = -t - 4*m - 3, 0 = -f*m for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03601 rounded to 3 dps?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 542844 is divided by 108559.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -473, -457, -417, -341, -217, -33?\nAnswer: 223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - g = 29 - 65 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -30 (b) 0.5 (c) 3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(2\/3))\/o*o\/o**(2\/39)*o assuming o is positive.\nAnswer: o**(34\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 6*w**2 - 9*w**2 - 7*w**2 - 2*w**2 + w - 1 + 13*w**2 + w**3. Determine y(-3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 71640, 286621, 644976, 1146747, 1791976, 2580705, 3512976, 4588831?\n\"Answer: 7*v**3 + 71645*v**2 - 3*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/sqrt(3) + 4 + sqrt(539) + (-3*sqrt(539) - sqrt(539)).\nAnswer: -20*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i. Let l(t) = -t**2 - 5*t + 2*t**2 + 0*t**2. Suppose 2*n - 4 = 6*n. Determine n*l(o) + 5*m(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/1404 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 45220*c + 407012. Calculate x(-9).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 85\/36 - -25\/18. Calculate the common denominator of -1*1*(-75)\/(-9) and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -5. Suppose 0 = z*n + 1 - 9. Solve 0 = n*v - 10, 3*t + 2*v - 20 = -4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of -40 - 18*a**2 - 23\/3*a**3 + a. What is the second derivative of h(d) wrt d?\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -15 and -919.5?\nAnswer: 904.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 617340095617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r + 24, 307*r = 4*w + 306*r + 10 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10158073?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -52. Let f(c) = c**2 + c + 3. Let r be f(-4). Let z = q - r. What is the smallest common multiple of z and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/160*-10)\/((-2)\/5). Let y = -596 + 4170\/7. Which is the nearest to y? (a) t (b) -7 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - 51 - (-273 - -323).\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -28*f - 31*f**3 + f**4 + 7*f**4 - 22*f**3 + f**3 + 4*f**4 + 68*f**2 = 0. Calculate f.\nAnswer: 0, 1, 7\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and 43503.\nAnswer: 43503.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157 - 475 - 2*n + 154 + 164.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(7\/2))\/z**(-1\/9)*z\/(z\/(z*z**(-22\/5)*z))*(z**(-10)*z)\/z assuming z is positive.\nAnswer: z**(-611\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -y**5\/3 - y**4\/24 + y**3\/3 + 4456*y**2. Let c(t) = -t**2 - t + 1. Determine 3*c(j) - s(j).\nAnswer: 17*j**2 - 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 116*t + t**2 + 27*t**2 - 32*t**2.\nAnswer: -4*t*(t - 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + a - 3*a + 5)*(1 - 5 - 3) in the form k*a + h and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1213 a factor of 7149976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1575 times 1?\nAnswer: -0.1575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27 - -1) + (27 + -10 - 6) - 4?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -415, -1608, -3589, -6352, -9891, -14200?\nAnswer: -19273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*a - 35*a - 72 = 0. What is the highest common divisor of a and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -2\/3, -10, -0.2 in decreasing order.\nAnswer: -0.2, -2\/3, -3\/2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 less than -0.78849?\nAnswer: -152.78849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1734275 at most -1734275?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 7350 (base 8) to base 3\nAnswer: 12020100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1774, 2699, 3750, 4927, 6230, 7659, 9214?\nAnswer: 10895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 13, 3, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 326, -3, 0.4, 3, -91\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 8*t = -251. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 19383.\nAnswer: 5814.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 853734 is divided by 39?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16543\/17 - -973. Let g = 1.93 - 2. What is the biggest value in g, i, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.579 + -3.879. Sort -0.4, 24, v in decreasing order.\nAnswer: 24, -0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -173 + (98 - 0) + 168.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 54, -0.2, 0.2 in decreasing order.\nAnswer: 54, 0.2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2\/5 - 1033927976*a\/5 - 66812941222216036\/5.\nAnswer: -4*(a + 129240997)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6053971 is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4*t**3 - 14*t**2 + 3*t + 4. Let z(b) = b**3 - 2*b**2 + 7*b**2 - 4*b**2 - b. Let q(p) = o(p) + 3*z(p). Let g be q(-11). Solve -1 = -5*k + g for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 135808519?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 100013666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/4*5\/(-15). Let j = -1 - -3. Determine q so that -1\/2*q - l*q**j + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -62 + 121. Let n be -5 + (-7)\/(49\/(-14)). Which is the second biggest value? (a) v (b) 2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/5047 and -57\/1940.\nAnswer: 9791180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*((-6)\/4)\/(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*o + 30*o = -58*o - 2120 for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 225.9 + -208. Let j = -17.9000089 + u. What is j rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 87968, 2\/15, 0.5.\nAnswer: 2\/15, 0.5, 87968","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-21)*a)\/a*a**(1\/3))\/(a**(2\/33)\/(a*a\/a**(-21)*a)))**16 assuming a is positive.\nAnswer: a**(752\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + a. Let l(d) = -6*d**2 + 7*d - 5. Calculate -l(r) + 5*v(r).\nAnswer: r**2 - 2*r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1*(2 - 0))\/5. Let k be ((-24)\/(-32))\/((-1)\/(-4)). Suppose 0 - q*h**k + 0*h**2 + 2\/5*h = 0. What is h?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 697185329\/3531 - 197447. What is the common denominator of 40\/963 and o?\nAnswer: 10593","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-18)\/21)\/(-3))\/((-33)\/(-21))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 31221745 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -2*r + 3*r + 10, 0 = 5*u - r - 16. Solve 6 = -5*c - 3*z - 5, 0 = u*c - 3*z - 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 29*s - 546. Determine d(19).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/97, 1, 23, 1295 in increasing order.\nAnswer: 2\/97, 1, 23, 1295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217*z - 1437 = -20*z + 933 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 506 = 2*m + 21*m. Suppose 0 = 6*w - 4*w. Suppose -5*s + 165 = -w*s. What is the highest common factor of m and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -31916*a**2 + 51038 wrt a?\nAnswer: -63832*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lelzssozlolx. Give prob of sequence sx.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -20 - 3?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12564737 and -1.\nAnswer: 12564737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 2:59 PM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a**2 + 129 + a**4 - 68 - 5*a**3 - 55 - a**2 in the form y*a**4 + d*a**2 + u*a + o + k*a**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 120 - 108. Suppose m*d = 1081 - 97. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7152 = 2*z - z. Is (5\/4)\/(12\/z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 g, and 2 c when four letters picked without replacement from {o: 1, l: 1, c: 2, g: 4}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1134 + 923596\nAnswer: 922462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**2 + 6*t - 6. Give q(-6).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**(-3\/4))\/h*h)\/((h*h**(-12))\/h*h))**(-6\/7)*(h\/(h**(1\/3)*h)*h**(2\/21))**(14\/5) assuming h is positive.\nAnswer: h**(-487\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 6*u - 3. Let a(k) = -2*k**2 + 11*k - 5. What is 6*a(y) - 10*b(y)?\nAnswer: -2*y**2 + 6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/c**(-2\/7)*c*c*c**6*(c\/(c*(c\/((c*c**8)\/c))\/c))\/(c**4\/c))**(-15\/2) assuming c is positive.\nAnswer: c**(-1605\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mml when three letters picked without replacement from mlyhylhmmhffy.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**5\/2 + 11*t**4\/2 - 27*t**3\/2 - 31*t**2\/2 + 34*t + 30 = 0.\nAnswer: -1, 2, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 24a47?\nAnswer: -24a43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 2*y - 19440 = 0, 4*p - 19957 = 4*y - 529. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 7*x**2 + 11*x - 9. Let p be b(8). Suppose a - 45 = 4*j + p, 2*a - 120 = 2*j. Is a a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 1 = 2*g. Let h be g\/3 - (-2)\/(-6). Let z(j) be the first derivative of 3*j**2 - 198. Give z(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - 2*c**2 - 106 - 66.\nAnswer: -2*c**2 - 144","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 399044353.\nAnswer: 71, 73, 76991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -138310 - a1?\nAnswer: -1383b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-30))\/((-47)\/(3525\/(-30)))?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 15*l**2 + 24*l + 40. Let g(u) = -11*u**2 - 16*u - 28. Let w(k) = 7*g(k) + 5*i(k). Let f(s) = -s**2 + 4*s + 2. Determine -5*f(v) + 3*w(v).\nAnswer: -v**2 + 4*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91)*2*2)\/(-2*sqrt(21)\/sqrt(3)))**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 182, 77, -15, 0, 10, 5 in descending order.\nAnswer: 182, 77, 10, 5, 0, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 4 (b) -5 (c) -0.3 (d) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 4*n**2 + 9*n - 16. Let y be d(3). Solve 5*q + 4*u - 27 = 0, -5*q + y*u - 2 = -11 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q - 5. Suppose 0 = 3*n + 15, 4*n - 2 = -4*i + 2. Is 10 a factor of p(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54*127.21.\nAnswer: 6869.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 351 + 225 = -131*y - 603 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -2*d + 4840, 0 = 4*d - 5*a - 3158 - 6582. Does 16 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**5\/4 + 127*b**4\/2 + 11759*b**3\/2 + 256037*b**2 + 21307489*b\/4 + 85525495\/2 = 0 for b.\nAnswer: -110, -43, -29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -5*j + 30, -15*s + 5 = -2*j - 18*s for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 - (-91 + 46 + -16).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 19095 divided by -57\nAnswer: -335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -15, 92, 1 in decreasing order.\nAnswer: 92, 5, 1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9614824 and 38?\nAnswer: -365363312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 k when four letters picked without replacement from {j: 8, k: 5}.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 266.884 decades?\nAnswer: 26.6884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 2*x + 1015. Suppose -60*q = 5*u - 61*q - 30, -10*u + 4*q + 50 = 0. What is the greatest common divisor of u and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -40448, -2\/5 in descending order.\nAnswer: -2\/5, -3\/2, -40448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*d**4 - 230*d**3 + 720*d**2 - 810*d + 135.\nAnswer: 5*(d - 3)**3*(5*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - 4 - (55 - 76). Calculate the greatest common divisor of 1349 and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 12*g - 14. Let i(w) = -w**2 + 8*w + 6. Suppose 4*h + 5*q - 33 = 4, -h + 7 = -q. Let v be i(h). What is the remainder when u(v) is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 171443 and 4325.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -90 (base 15) to base 4\nAnswer: -2013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12.15 + 0.15. Let r = 14.1 + f. Let x = -2.10108 + r. What is x rounded to four decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 64 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 7 - 11 = w, -6 = -w + 3*z. Let d(l) = l**3 + 5*l**2 - 8*l + 3. Does 15 divide d(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 5*k**2 + 5*k - 54. Let m be z(5). What is the greatest common factor of m and 720?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 194.97 - 194.87. What is the biggest value in -9.7, -2\/19, k, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m**3 - 3*m**2 - 54*m - 3. Let j(f) = f**3 - 2*f**2 + f - 2. Give 4*j(o) - 2*u(o).\nAnswer: -2*o**3 - 2*o**2 + 112*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 - 7 - 102*x + 17)*(-140*x - 217*x - 281*x + 76*x + 108*x) to the form m + j*x**2 + y*x and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -28\/117 and 61\/36.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008539717 rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -82, -545, -1308, -2365, -3710, -5337, -7240, -9413?\n\"Answer: i**3 - 156*i**2 - 2*i + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.5 * -19.\nAnswer: -66.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - y. Suppose 0 = -3*i - 5*d + 34, -4*d + 7 = 5*i - 41. Solve y = 5*n - i*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**3 - 3*m**2 + 5*m + 1. Let x(y) = -4*y**3 - 6*y**2 + 11*y + 2. Let j(p) = 9*q(p) - 4*x(p). What is the remainder when j(-3) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -33*f**2 + 769*f + 1540. Determine q(-2).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2170021 - 4340003 - 2*v**2 + 2169982.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 582*y**2 - 446*y**2 - 132*y**2. Let r(t) = t**2 + 0*t**2 + 6*t**2. Give i(r(x)).\nAnswer: 196*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -1 + (72 + 0)\/18?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(sqrt(12) - (sqrt(12) + sqrt(36)\/sqrt(3)) - sqrt(12)))**2 - -4*sqrt(15)\/sqrt(3).\nAnswer: 5\/4 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*x + 24*x - 11*x - 25*x - 18*x.\nAnswer: -44*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 5*a. Suppose a = -3*l + 3*v - 6, 0*l + 4*l + 3*v = -22. Is (-510)\/l - (-1)\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-5 - (-2 - -5 - 13))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2235238 to the nearest integer?\nAnswer: 1495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.56 - 4.36. Is x at least -66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45 + -223\/5. Factor 2\/5*h**2 + c*h - 2\/5*h**3 - 2\/5.\nAnswer: -2*(h - 1)**2*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -81 - -85. Suppose 4*k = 0, -8*u + i*k + 488 = -4*u. What is the remainder when u is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -287 + 199. Let j = -86 - w. Suppose -u + 288 = 3*v, j*v + 3*u = 7*v - 466. Is 12 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -184*l**4 + 5386*l**3 - 145*l**2 - 19489.\nAnswer: -4416*l + 32316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*a - 11 = -84 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, -143, 1, 6\/11, 2\/37?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**2 + 7*b - 5. Let n be s(4). What is the remainder when 4\/((-72)\/(-634)) - (-2)\/n is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 47\/4 of a litre?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 2\/7, 0.1, 336, -4, -3\/7, -2\/7?\nAnswer: 336","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 o when two letters picked without replacement from oudbr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 31761.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 171*y - 4266. Calculate h(24).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l**5 + 104*l**4 + 152*l**3 - 6464*l**2 + 21828*l - 20808 = 0.\nAnswer: -17, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2. Let u(s) = -580*s - 14. What is u(p(i))?\nAnswer: 580*i**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**2 + 12*a + 8. Let z be p(-6). Suppose -4*q + z = -8. Suppose -6 = -2*w + q. Solve 5*o + 10 = -w for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1522 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -355 divided by 24297.\nAnswer: -355\/24297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f. Let m(j) = -j. Suppose 15 + 9 = -4*o + 4*u, -o - 3*u = -2. Let t be 64\/(-10) - (-9)\/(-15). What is o*k(g) + t*m(g)?\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -10110100010010001011011 (base 2) to base 11\nAnswer: -3375478","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9648 is divided by 3380?\nAnswer: 2888","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1459431, -2918780, -4378129, -5837478, -7296827, -8756176?\n\"Answer: -1459349*y - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 y, and 2 o when four letters picked without replacement from youuuuoyio.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22213 - 2?\nAnswer: 22211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 40707 (base 8) to base 12\nAnswer: 98b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkd when three letters picked without replacement from {k: 4, m: 7, d: 5}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -1.267, -2, -6, 0.51?\nAnswer: 0.51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 23 (b) -62\/7 (c) -932.9 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.8 + -1.62. Let n = r - -0.02. Is n bigger than -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2608.89 + -855.81. Let y = o - -3483.559. Let n = 19 - y. What is n rounded to 2 dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9*(40\/12 + -3))\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 times -6?\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3338*s**3 - 8896*s**3 + 5562*s**3.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*g + 5*k, 0 = 4*g - 2*k - 2. Suppose 0 = -r + 3*q - 5, 0 = -r - 3*r + q - 20. Let h be (r\/g)\/5*-2. Which is smaller: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104685.2 rounded to the nearest one thousand?\nAnswer: 105000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**2 - 6*i + 10. Let b be (27\/(-15))\/(6\/(-20)). What is the units digit of d(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + -7 + (-8 - -30)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 19*v + 1. Let q be l(1). Suppose -2*x - 111 = 45. Let w = 118 + x. What is the greatest common divisor of q and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 divided by 19?\nAnswer: 184\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 78 = -272. Calculate the remainder when a is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44 + -35. What is the highest common factor of 90 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-15)*p**14)\/(p**12\/p**(18\/7)))**(-22\/5) assuming p is positive.\nAnswer: p**(1606\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 5*p = 8, 0 = 4*a - 279*p + 275*p for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 105 = -0*y. Suppose 56*c - 4 = 57*c + 5*t, 5*c - t = 32. Calculate the least common multiple of y and c.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15.3393 - -15.38. Round q to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/(-80) - 51\/(-255)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33867 = -1227*l - 2943 for l.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1\/(-1*4\/(-80)) is divided by -2 - 1\/((-3)\/42)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**6\/(z\/z**7))**48 assuming z is positive.\nAnswer: z**576","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 263.797344 + -0.05.\nAnswer: 263.747344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2572883 or 2572887?\nAnswer: 2572887","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2165229 and 77913?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -2, 4, 3 in decreasing order.\nAnswer: 8, 4, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11891 + 21222. Is c a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11306599, 22613198, 33919797?\nAnswer: 45226396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -10 - (-7 + 230\/(-70)). Which is the closest to 43\/5? (a) -2 (b) u (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15647476*r**5 + 250810*r**2 + 16*r?\nAnswer: 938848560*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -52.389 to one decimal place.\nAnswer: -52.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 6:06 PM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*o + 4. Let j = 19 + o. Is 11 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-8) + 0 + -5. Let o be 122 + -123 - d\/((-2)\/(-1)). Let i be 0 + (-16)\/9 - (-10)\/5. Which is smaller: i or o?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -o - 16 - 2 - 10 - 25 in the form s*o + t and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 108 and 18?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 55*d**2 + d**2 - 8 - 47*d**2 - 6*d**2 + 7*d**2.\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*f + 16*f**3 + 8 - 16*f**3 + 2*f**2 + 7*f**4 - f**2 to the form k + c*f**4 + q*f**2 + m*f + x*f**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41358 is divided by 13783?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14877989?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12491 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnmnnnmn. What is prob of picking 2 n?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11229 to the power of 1\/2, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 + 1)*(-1 + 0 + 2) - 199 - 1113 + 494)*(2*w**5 - 4*w**5 + 0*w**5) - 5 + 5 + 5*w**5.\nAnswer: 1637*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 15*r**2 + 2*r - 1. Calculate z(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 112 + (1 - (5 - 1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18874 + 18896. Solve 0 = -15*i - z*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*i - 19. Let t = 111 + -1224\/11. Let u = -35\/33 + t. Which is the smallest value? (a) u (b) 0.4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/37398 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/4 of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + -203749d0?\nAnswer: -203749d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 214 divide 490344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r - 7 = -43. Sort -4, r, 31 in ascending order.\nAnswer: -4, r, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.67 + 1.04. Let n = -13.09 - y. Let u = n - -13. What is u rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18702710 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 6:01 AM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 287 a factor of 163790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**3 + 2*t**2 - 9. Give a(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 9 = -5*z. Let h(b) be the first derivative of b**2\/2 + 3*b - 1. Let j be h(z). Let k(g) = g**2 - g - 3. Calculate k(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 p when two letters picked without replacement from {b: 1, q: 1, h: 1, g: 2, y: 1, p: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1088 by -6.\nAnswer: 544\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -2*f + 73675. Let s be 6\/(-10) - f\/(-25). What is s rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3\/5 + 6*i**2\/5 + 39*i\/5 + 6.\nAnswer: -3*(i - 5)*(i + 1)*(i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 226, 1677, 5578, 13141, 25578, 44101, 69922, 104253?\nAnswer: 148306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6355 + 127107\/20. Let q(m) be the second derivative of 0*m**2 + 11*m - 11\/6*m**4 + 0 + 0*m**3 + k*m**5. Find the third derivative of q(g) wrt g.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -3*f + 13, -4 = -3*f - 3*w + 11. Let k(d) = 5*d**3 + 3*d. Let c(l) = 4*l**3 + 2*l. Calculate f*c(h) - 2*k(h).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1242 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + 7*y - 3. Let t be q(4). Let c = t - 5. Solve 4*z + x = -x - 2, 3*x = -c*z - 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -528*w - 1998958 + 24856078 = 0. List the prime factors of w.\nAnswer: 2, 3, 5, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47 + -30. Let c = j + -13. Suppose 2*k + 2*n - 10 = 0, 3*n - 13 = -6*k + c*k. Solve 0 = k*z - 0*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.1025574ns in days?\nAnswer: 0.0000000000002442425625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1361, -5, 1, 690.\nAnswer: -1361, -5, 1, 690","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/1*(624\/(-78))\/(2\/2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 5372*j + 134328. What is m(-25)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 11:04 PM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 1 + -1 - (3 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1239, 2449, 3645, 4821, 5971, 7089, 8169?\nAnswer: 9205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**3 - 8340*g**2 + 16668*g - 8332.\nAnswer: 4*(g - 2083)*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2641408813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(3\/2)*2. Sort h, -0.1, 2 in ascending order.\nAnswer: -0.1, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/42 and -1\/129?\nAnswer: 1806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 104\/28 - 4\/(-14). Let g(z) = -z - 3*z + 6*z. What is the units digit of g(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 j when three letters picked without replacement from {u: 17, j: 2}.\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 27361223*h + 43250058 wrt h?\nAnswer: 27361223","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 19053640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 11 - 9*l**3 + 5.\nAnswer: -9*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 7*x**2 - 5*x - 6. Let w be r(6). Suppose w = 7*c + 687 - 2045. Is c a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 405577?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -104340, -208674, -313008, -417342?\n\"Answer: -104334*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -693*g**2 + 2890*g**2 + 2455*g**2.\nAnswer: 4652*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106247 is divided by 26540?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 87\/21 - (-1)\/(-7). Let t be (-10)\/g*8\/(-10). Solve 0 = o - t - 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/7*a - 3\/7*a**2 - 6\/7.\nAnswer: -3*(a - 2)*(a - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-10)\/6)\/(16\/288). Let x be 3\/6 + q\/(-12). Solve 0 = o + x*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 9*d - 11*d - 4 = 0, 9*s + 3*d - 6 = 0. Put 5, s, -6, -4 in increasing order.\nAnswer: -6, -4, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135211086?\nAnswer: 2, 3, 2503909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 4*n + 4*h + 18, 3*n - 6 = 4*h. Let s be (1 - 1) + 0 + n. Is 3 a factor of (-57)\/(-9) - 2\/s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*k + 23 = 135*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 25*t**3 - 2*t**2 + 2*t - 1. Let y = -6 - -7. Is 12 a factor of r(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 11*z**3 - 2*z**2. Let j(c) = -540*c**3 + 99*c**2. Determine 2*j(v) + 99*n(v).\nAnswer: 9*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rdtd when four letters picked without replacement from {t: 1, x: 1, e: 1, d: 3, r: 2, o: 3}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 186205 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21653?\nAnswer: 59, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17 or 0.03?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2446, 2443, 2436, 2425?\n\"Answer: -2*d**2 + 3*d + 2445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34659b (base 13) to base 6.\nAnswer: 42343142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q + 5*q - 4*q. Let y(j) be the third derivative of 1\/30*j**5 + 0*j**4 + 0 + 0*j**3 + 0*j - j**2. Give l(y(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*m**2 + 4*m**2 - 5*m**2)*(0*m - 2*m**2 + 0*m) - 83*m + 84*m + 30*m**4 - 105*m**4 to the form r*m + k*m**4 + i*m**2 + v*m**3 + w and give k.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 - 11. Suppose -p = -f - 6. Solve 4 = -3*g + p for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250 = 56*i + 16*i - 758 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 884, 886, 888, 890, 892?\n\"Answer: 2*q + 882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 129 and 395772.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 2*v + 12, 2*y + 16 + 2 = -5*v. Let f = 3 - 2.72. Let d = f + -0.18. Which is the second smallest value? (a) 0 (b) y (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -1. Suppose -5*i - 2 = -12. Let v = i - f. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 - 19*r + 1 + 16*r - 30 as f*r + b and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and 600.88.\nAnswer: 603.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -0.2 (c) -4\/5 (d) 5 (e) 15 (f) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212049 is divided by 23503?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**2 - 2*u - 2. Let y be -4*(-2 - (-45)\/12). Let p = -9 - y. What is o(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/2)\/((-3)\/(-45)). Suppose 3*v - x = 3*b + 6, b - 5 = -3*v. Suppose 0 = -5*s - 25, -3 = u + s - 2. Calculate the least common multiple of u and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*d + 31*d = 50. Suppose 0 = 3*z - d - 1. Solve z*i + 15 = -3*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + x - 12. Suppose 0 = -2*n - 5*w + 31, x*n + w - 9 - 5 = 0. Suppose 0 = -2*h - n*h + 185. What are the prime factors of h?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/5 or -390?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*l = -531094 - 246932 - 6024. Is 123 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58 - -3 - (-53 + 67)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oweemeceweewccwo. What is prob of picking 4 w?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2275 is divided by 1134?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d + 5. Let t be v(-1). Suppose -t*p = -p - 2100. Suppose -5*j - 3*z = -700, -4*j = -7*j + z + p. What are the prime factors of j?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of o**7\/2520 - 7*o**6\/720 - o**5\/40 + o**4\/6 + 9*o**2. Let q(r) be the second derivative of c(r). Calculate q(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 926 - 154. Let d = s - 123. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/(-26)*(-8)\/(-6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b + 3*b + b**3 + (3*b - 5*b - 2*b)*(-2*b**2 - b + b) + b**3 + 0 + 0.\nAnswer: 10*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -2*i**3 + 44*i**2 - 106*i - 152 = 0.\nAnswer: -1, 4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 852 and 158259.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1005932218 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + (-2)\/(-4))*32. Let l be -1 + 1 - 0\/(-1). Suppose 2*u - 32 = -l*u. What is the greatest common factor of u and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-13))**(-1\/2))**(-39) assuming j is positive.\nAnswer: j**(-507\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19*g**2\/2 - 37*g\/2 - 1.\nAnswer: (g - 2)*(19*g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccck when four letters picked without replacement from ckckc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 2) + (-2 - (6 - 4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a kilogram in milligrams?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2993*u**3 + 2981*u**3 + 2993*u**3 + 2979*u**3 - 11926*u**3.\nAnswer: 20*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -6 - 0 - (-2 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 4*s**3 + s**2 + s. Let u be r(-1). Let m = 17\/4 + u. Let f = -72 - -72.5. What is the biggest value in f, m, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 7. Let q(n) = -n + h*n + 39*n**3 + 2*n**2 - 2 - 40*n**3. What is q(4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -3*n - 8. Suppose n*z - 6751 = -709. Let s = -17421 + z. Round s to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 5 (b) 0.479 (c) -24 (d) -2 (e) -6\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*f = -4*w - 84, 5*f + 4*w - 96 = 0. What is the lowest common multiple of 8 and f?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -519 - -512. Let n(g) = -g**3 - 7*g**2 - 3*g - 5. Calculate the smallest common multiple of n(q) and 14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 16) to base 15\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1097245 divided by 219449?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 12*o**2 + 13*o + 3. Let k be f(-13). Let b be (-1)\/(k + (-14)\/4). Is (b + -74 - 1)\/(-1) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*s + 123 + 115. Calculate the greatest common factor of 343 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 5*c**3\/3 + 115*c**2 + 2740*c\/3 + 800 = 0?\nAnswer: -60, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5634, -5000, -3966, -2532, -698, 1536, 4170?\nAnswer: 7204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17161\/18 + 956. Find the common denominator of (-184)\/(-161) + ((-36631)\/4998 - -7) and f.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(187) + sqrt(187) + -2*sqrt(187) + sqrt(187))*1 + sqrt(187))*-6)\/((-6*sqrt(55)*1)\/sqrt(5)) + 0.\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 609500797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 84 = 5*o, 3*o - 24 = -5*k + 19. Let f(h) = 3 - 12*h**2 + 13*h**2 - o*h + 3*h. Calculate the remainder when 12 is divided by f(13).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 7 + 21. Let d(w) = 1. Let n(x) = 2*x - 20. Let m(g) = 10*d(g) + n(g). What are the prime factors of m(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 224.6 - 225. Let u = 5.4 - 0.4. Which is the third biggest value? (a) u (b) 1\/9 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 4*w + 12. Let q be (0 - (-8)\/6)*-3. Let y(o) = -13*o - 36. Let s(g) = q*y(g) - 11*f(g). Differentiate s(h) wrt h.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45 + 51. Let l = -7 + y. What is the tens digit of ((-378)\/(-30))\/(l\/(-5)) - 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -12.11. Let r = v + 0.11000007. What is r rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*q**2 + 14*q**2 - 17*q**2 - 4 + 3 as a*q + t*q**2 + u and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - -938\nAnswer: 938.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -41*d - 13. Let u(i) = -i**3 - 9*i**2 + i + 11. Let s be u(-9). Suppose 0 = 4*w, 0*w = -5*n + s*w - 15. What is the tens digit of p(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22143 is divided by 2664?\nAnswer: 831","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -3*x - 2*g + 5, -2*g = -x + 15. Suppose 0 = -x*i + 6*i + 5. Sort 0, 4, i.\nAnswer: i, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -373 or -409?\nAnswer: -409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) -1\/5 (b) 0.1 (c) 1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3236 + -2173. What is the hundreds digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 - (-19 - (-13 - -6))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11.45733mm?\nAnswer: 11457.33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - d = -20. Differentiate -6 - 26*m + d*m - 14 + 3 with respect to m.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + 2*o + 3. Let u be b(3). Let g(l) = l**2 + 2*l + 21. Let y be g(u). Solve -3*k = -9, -4*z + 0*z - y = -3*k for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m - 119 + 119.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 + -23. Let z(c) be the first derivative of 0*c**3 + 4 + f*c - 4\/5*c**5 - 2*c**2 + 0*c**4. What is the second derivative of z(o) wrt o?\nAnswer: -48*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rjgrgvjjgtjjtjjkjtj. Give prob of picking 1 t and 1 v.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -31407, -31412, -31419, -31428, -31439, -31452?\n\"Answer: -b**2 - 2*b - 31404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41232166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -67 - -149. Let q = s - 65. Suppose 0 = f + 13*c - 9*c + 3, 1 = -2*f - 3*c. What is the greatest common factor of f and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.33 + -2.67. Sort 3, 0.2, b in descending order.\nAnswer: 3, 0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.472 to 1 dp.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(99) + -1 + sqrt(99) - sqrt(99)) + 3 + -2*sqrt(99)*4 + 5))**2.\nAnswer: -7350*sqrt(11) + 122500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 662*k - 10. Let c be b(-7). Let j be c\/(-63) + 2\/7. Let p = j + -18. Is p a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22636 - -23659. Does 33 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4507392 and 657328?\nAnswer: 31551744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10050*q**3 + 7*q**2 - 688*q + 6?\nAnswer: -60300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from {n: 3, p: 7}.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -5*b**7\/42 + 2*b**6\/3 + 11*b**5\/4 + 5*b**4\/2 + 280*b + 2. Factor v(a).\nAnswer: -5*a**2*(a - 6)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y + 0*y - y)*((-3 + 4 - 2)*(3 + 2 - 7) - 377 - 433 + 990) + (-5 + 4 + 4)*(0*y + y + y) to b*y + m and give b.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 7*b**3 - 5*b**2 - 6*b - 2. Let c(d) = 6*d**3 - 4*d**2 - 5*d - 2. Let s(g) = 2*g**2 + 20*g + 13. Let j be s(-9). Calculate j*x(h) + 6*c(h).\nAnswer: h**3 + h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -26640621.\nAnswer: -26640621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*y**4 - 3*y**2 - 1322*y - 91478.\nAnswer: -8*y**3 - 6*y - 1322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - -8. Calculate the least common multiple of d and 20\/2*(-20)\/(-20).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -8*m + 143*m**2 - 258*m**2 + 116*m**2 + 9. Calculate z(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 times -166\nAnswer: 4.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*q + 204 = -641. What is the greatest common divisor of 23543 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -k**4\/24 + 346*k**2. Let j(n) = -29*n**2. Calculate h(j(t)).\nAnswer: 29*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -6724.\nAnswer: -13448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 544 + -853. Let s be 3\/(-9) + 5\/(-45)*w. Suppose -6*j + 4 - s = 0. Sort j, 35, 4, -4 in increasing order.\nAnswer: j, -4, 4, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 219, 218, 217?\n\"Answer: -l + 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13317155 >= 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(1\/6)\/m)\/m*m*m*m*m**(-17)*(m**(-7\/3))**(-2\/3) assuming m is positive.\nAnswer: m**(-239\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9399 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -80.109, -5 in descending order.\nAnswer: 0.2, -5, -80.109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(143) - sqrt(143)*-1)*3)\/sqrt(11)*-5)**2 - (sqrt(468) + 0 + sqrt(468) + 5 - (4 + -1*sqrt(468)))**2.\nAnswer: -36*sqrt(13) + 7487","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y - 17. Let x be k(18). Put 0, 4, x, -1 in descending order.\nAnswer: 4, x, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 4*r - 2*r)*(-r**2 + 2*r**3 + r**2) - 3*r**4 + 4*r**4 - 3*r**4 + (-5*r**2 + 2*r**2 + 4*r**2)*(3*r - 25 + 25)*(-2*r - 3*r + 3*r).\nAnswer: -10*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3, 5, -7, 2 in descending order.\nAnswer: 5, 3, 2, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(1573)*2 + (-4*(sqrt(637) - 2*sqrt(637)) + sqrt(637))**2.\nAnswer: 22*sqrt(13) + 15928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4 - 2*c - 2*c - 40*c**2 - 281*c**2 - 59 + 9880*c**2 wrt c.\nAnswer: 19118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -2 + 4. Suppose -3 = -n - i. Is (3\/6)\/(n\/44) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1012 + -942. What is the remainder when 70 is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - 8*p - 12. Let k = -4 + 1. Let g be m(k). Solve -g = -3*l + 2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n - 15. Let c be r(15). Suppose c = -4*a + a + 15. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -28818, -56746, -84674?\n\"Answer: -27928*c - 890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 53*k + 18. Let f be c(22). What is the highest common factor of f and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -7, 5, -6 in descending order.\nAnswer: 5, 0.3, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t**3 + t**2 - 251*t + 32401. Is w(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75839652.\nAnswer: 2, 3, 7, 17, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from {k: 3, y: 1, c: 1, u: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-251)\/(-115) - (-4 + 360\/92)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x - 5. Let d be q(-10). Suppose 4*f = 4*y - 72, -5*f + 4*f = d. List the prime factors of y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -9*v**2 + 2*v + 8. Let s(a) = -2*a + 14. Let x be s(4). Let r(j) = -10 - 2*j + 5*j**2 + 3*j**2 + 3. Give x*d(l) + 7*r(l).\nAnswer: 2*l**2 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 17*f. Suppose 1 = 2*c - 3*c. Let d be c*-2*(4 - 3). Let g(p) = 21*p**2 + 24*p**2 - 47*p**d. Determine g(v(b)).\nAnswer: -578*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164531410.\nAnswer: 2, 5, 2729, 6029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1965 + ((24\/(-15))\/8)\/(8\/120) is divided by 64?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 6*j - 4*j - 4*b, -2*j = 4*b for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**2\/4 + 4025*w\/4 - 1422825\/2 = 0. What is w?\nAnswer: 915, 3110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 33*i - 122. Calculate p(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10 - -14)*3\/18. Suppose 2*b - 2 = -i - 4, -o*i = -2*b + 8. Suppose 9\/4*j + 3\/4*j**2 + b - 9\/4*j**3 - 3\/4*j**4 = 0. Calculate j.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -25*j**2 + 2. Let o(a) = -6*a**2 - 15411. Calculate o(x(h)).\nAnswer: -3750*h**4 + 600*h**2 - 15435","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a**2 - a + 5. Let w be x(-4). Let s = w - 8. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 84*y**2 - 251*y - 864. Let j be f(87). Solve -2*g + j = -2*v, -4*v - v - 24 = 4*g for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -130711838 + 5?\nAnswer: -130711833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*f**2 + 68*f**3 - 28*f**3 + 24*f**4 + f**4.\nAnswer: 5*f**2*(f + 2)*(5*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6772598 + 37.07.\nAnswer: -6772560.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -39, -96, -207, -390, -663?\nAnswer: -1044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7391055 and 78576.\nAnswer: 4911","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 145*p**2 - 4256*p + 4256*p - 2305*p**2 as q*p**2 + c*p + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 172215 or 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.4 - -6. Let k = 2945420\/7 + -420774. Put k, 6\/5, t, 1 in decreasing order.\nAnswer: 6\/5, 1, k, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66250 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -0*a. Let w(q) = -49 + 14 + 124 + 176 - 7*q - q**2 + 9*q. Is w(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5793 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kpm when three letters picked without replacement from mkkmkkpmmmk.\nAnswer: 5\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2320 + 5?\nAnswer: 2325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0721827 to 3 decimal places.\nAnswer: 0.072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27899453 and 1157?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1060 - 7451\/7. Let j = -53\/14 - i. What is the common denominator of 1\/(-6)*(-26 + 0 + 5) and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17845.\nAnswer: 5, 43, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-18) - 16\/(-3). Suppose -3*a = a - 4*x - 8, -k*a - 4*x = -37. Solve -5*z + 3*o - 14 = 0, -a = z - 2*z - 2*o for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of g**5\/60 - g**4\/4 - g**3\/2 + g**2. Let s be k(6). Let p = -3 - s. Solve -3*z - 3 + 12 = p for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**5 - 80*l**4 - 378*l**3 - 216*l**2 + 675*l.\nAnswer: -l*(l - 1)*(l + 3)**2*(l + 75)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 5. Suppose -7*w + 3*w - 211 = -5*a, -o*w - 41 = -a. Calculate the remainder when 4*(-7)\/3*(54\/15)\/(6232\/(-23370)) is divided by a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139 = -2*q - 43. Let x = -61\/2 + q. Calculate the common denominator of 15\/8 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 0.5 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 618*i + 157*i - 18946 = -1896 for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*k**3 - 6*k**2 + 22*k**3 - 107*k - 7*k**3 - 11*k**3 - 1 in the form z*k**2 + f*k + d*k**3 + x and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -175 + 191. Which is bigger: 11 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-134)\/(-14) - (157 + -147)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 25 - 4 = -2*z, -108*z + 7*p - 981 = 14*p - 4*p - 0*p for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76, -75, -64, -37, 12, 89?\nAnswer: 200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(17\/4)\/w*w)\/w)**(-3\/2)*(w**(-3\/5))**(-45) assuming w is positive.\nAnswer: w**(177\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s + 7. Let p be c(7). Suppose 0*w + 12300 = 5*w - d, -4*d + 2460 = w. Suppose -k - 2*k + w = p. What is k rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 883, 3, -4, -9, 6.\nAnswer: -9, -4, 0, 3, 6, 883","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 2 - (12 - (19 + 16 + -10))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -65510\/11 + 359460\/77. Let q = z + 162733\/126. Calculate the common denominator of q and 67\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(4*sqrt(80)) + -5 + sqrt(32) + -3*sqrt(288) + 4)**2.\nAnswer: 511*sqrt(2)\/8 + 261249\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (14\/(-4) - -1)*-2. Suppose -4*j + 15 = -2*d + 3*d, -b*d + 5*j = 0. Suppose -d*z - 24 = -5*z. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55, -111, -177, -253, -339?\nAnswer: -435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.12 - 3.12. Let o = -1\/3439 - -1162385\/10317. Let i = 111 - o. Which is the second biggest value? (a) 3 (b) l (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q + 4*q - q. Let d(m) = 1 - m + 0*m - 1. Determine r(d(g)).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 + 0.5.\nAnswer: 0.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02108726 to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v**2. Let y(i) = -7*i. Let j(h) = -15*h. Let r(s) = 4*j(s) - 9*y(s). What is r(u(f))?\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 2, 2\/21, -22\/7, 0.\nAnswer: -22\/7, 0, 2\/21, 2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = 3*c + 5*p + 11, -c - 4*p - 11 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-26) - 640\/104. What is the remainder when 38 is divided by 3\/(-2)*m + 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-10)*91\/168*(-135)\/(-9)?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 84362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/(-8) - (-12)\/96.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 147521539892173 + 0.4\nAnswer: 147521539892173.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 a, and 1 h when three letters picked without replacement from {h: 3, a: 2, g: 6, b: 1, r: 2}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**2 - 6*r + 3. Let d(u) = 10*u**2 - 17*u + 10. What is 2*d(x) - 7*g(x)?\nAnswer: -x**2 + 8*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j - 4. Let d = 3625 + -3637. Let r(w) = 2 - 3 + 0. Let p(x) = d*r(x) + 3*g(x). Let n(l) = l**2. Give p(n(v)).\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 9*d**2 - 17*d + 21. Let z be o(7). Let p(s) be the second derivative of -14*s - 4\/7*s**2 + 0 + 1\/42*s**4 + z*s**3. Factor p(r).\nAnswer: 2*(r - 2)*(r + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11 + 2422075?\nAnswer: 2422064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2 + 1240*k + 18144.\nAnswer: -4*(k - 324)*(k + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a. Let y(l) be the third derivative of -11*l**5\/60 - 4*l**2. Calculate f(y(b)).\nAnswer: -11*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 226 - 482*z + 222 - 448.\nAnswer: -482*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16208 is divided by 81.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5*t = 2*m - 72, -m + 24 = 5*t. Solve 7 = -2*k + 3*c, 4*k + m = -2*c - 2*c for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n. Let i(g) = -23714*g - 1. Calculate i(p(v)).\nAnswer: -47428*v - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 175 divided by 12.\nAnswer: 175\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -14*w - 50 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -4 - (2 - -4)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 3*r + 5*j - 3526 = 0, -5*r + 5855 = 4*j. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15.8 - -16. Suppose 0 = -3*d - 3*g + 15, 5*g = 3*d + 6*g - 7. Which is the nearest to d? (a) 3 (b) -0.3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 5*b**3 + 8*b**3 + 14446*b**2 - 3*b - 3*b**4 - 14446*b**2 to the form h*b**3 + z*b**4 + f + v*b + m*b**2 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33778 + 33775. Let w = 0.3 + 1.7. What is the second biggest value in w, 0, c, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 86*y**5 - 2*y**2 + 2*y + 168?\nAnswer: 1720*y**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from exxxexxexxxexxxxxexx.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -38*v**7\/7 + 38*v**3\/3 + 24. Find the third derivative of g(x) wrt x.\nAnswer: -4560*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 l when three letters picked without replacement from jjajjjljilljjj?\nAnswer: 27\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4*-1.6423208\nAnswer: -6.5692832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 735 is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 99 and 51535.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -12, 31, 112, 243, 436, 703?\nAnswer: 1056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -286*m = -2*a - 0*a + 854, 0 = -2*m + 17*a - 7*a - 9*a - 4 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5d (base 14) to base 15\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5370*a - 223995 = -33020 + 13085 for a.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 13\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15\/76 - -4075\/532. Find the common denominator of o and 8\/1665.\nAnswer: 11655","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25695, 51394, 77093, 102792, 128491, 154190?\nAnswer: 179889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**4 + 8*n**2 - 2*n**3 + 2*n**3 + 783*n - 781*n - 1 as y*n**4 + g*n**2 + k*n**3 + j + w*n and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -189, -174, -157, -144, -141, -154, -189?\nAnswer: -252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 - -45. Calculate the remainder when (-331)\/(-6) + (-2)\/l is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2389, -4784, -7179, -9574, -11969?\n\"Answer: -2395*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 395 and 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1017 - 1015. Suppose v*d = 13*d + 16*d. Solve 2*y - 10 = 0, 5*g + d = 3*y - 5 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5575, -3\/8, -4?\nAnswer: 2\/5575","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1*2 - 2 - (-65)\/15\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 2*p - 152, -5*c = -4*p + 244 + 57. Suppose -p*g = -81*g + 404. Is g a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + (-14 - -9) - 102) + (-26 - -24 - -5)?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-3\/2)\/s*s*s)\/((s\/(s\/(s**(-1\/2)\/s)))\/s))\/(s**3)**(-14))**(1\/52) assuming s is positive.\nAnswer: s**(11\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*u + 2 = 0. Suppose -a - u*a + 96 = 3*l, 3*a - 22 = -l. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 183?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (29\/2 + 0)*8\/4. Let b = i + -26. Solve -5*l = -8 + b for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ikk when three letters picked without replacement from kkkikkkik.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/4*(1 + -1). Let b(v) = -2*v**2 + 1. Let h be b(1). Let w = h + 4. Solve -w*y + p = 15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/1454700 and -61\/10400?\nAnswer: 11637600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*z - 1530 + 1453. Let a(d) = 9*d**2 + 66*d + 9. Give a(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628434 to the power of 1\/2, to the nearest integer?\nAnswer: 793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 307 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3 (b) 0.1 (c) -0.3 (d) 30\/11 (e) 5 (f) 100\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000006312 rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205*d = -152*d + 75*d - 2958 + 138 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 725.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -11*h**3\/2 - 6891*h**2\/2 - 13749*h\/2 - 6869\/2 = 0.\nAnswer: -6869\/11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2808701888 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 4 = 3*v. Suppose -2*u = -3*u + v*p - 14, 5*p = 3*u + 14. Suppose 4*d + 32 = 4*w, -3*w + 3*d = u*w - 44. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 - 24. Suppose 4*q - 159 - 301 = x. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b**3 + 5*b**2 + b + 1. Let h(r) = -7*r**3 - 10*r**2 - 2*r - 2. Let c(l) = -5*d(l) - 2*h(l). Does 15 divide c(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34978649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 3*l - 3 - 22 = 0, -l = -n - 1 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25.6 + -32. Let v = 2.3375 - -0.0625. Let f = h + v. What is the nearest to 2\/7 in -1\/2, f, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/3)\/((-2)\/(-132)). Let p = k - 66. What is the common denominator of 2\/11 + 1795\/p and -79\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/((-4)\/5) + 5\/(-1). Solve 5*x - 2*j - 14 = v, -4*x + 0*j + 25 = 3*j for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*t**3 - 3\/2*t + 9\/4 - 3*t**2 + 3\/4*t**4.\nAnswer: 3*(t - 1)**2*(t + 1)*(t + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 14 = 2. Let m(q) = -2*q - 21. Let n(z) = z - 22. Let o(b) = -4*m(b) + 5*n(b). What is the units digit of o(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20031 is divided by 18927?\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 337785, 337780, 337775?\nAnswer: 337770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 192870000 rounded to the nearest one million?\nAnswer: 193000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22550 and 3425550?\nAnswer: 2050","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by 31.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11114?\nAnswer: 2, 5557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73346?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, j: 3, p: 4, x: 4}. Give prob of picking 1 x and 3 a.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -236 + -2?\nAnswer: -241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1121127 or -1121135?\nAnswer: -1121127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, g: 1, h: 3, m: 4, w: 2, o: 2}. Give prob of picking 3 m and 1 w.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 23839 times 7?\nAnswer: 166873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 375*z - 798*z + 326*z + 44.\nAnswer: -97*z + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = b, -2*z - 4*b = 5 + 15 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 5. Suppose 3*y - y = k. Solve -9 = -q + y*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 15) to base 7\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-5300)\/(-1260) + -3 + ((-154)\/1155 - 44\/45)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -m - 4*j + 6*j, 5*j - 7 = 3*m. Let k = 6 + -6. Sort 3, k, m.\nAnswer: m, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1134 + 1265. List the prime factors of p.\nAnswer: 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 8*v - 46. What is q(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1940*p = 2067*p + 3048 for p.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(42)\/sqrt(7))\/(sqrt(162) - (sqrt(162)*-5 + sqrt(162))).\nAnswer: sqrt(3)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + 3)*-1.\nAnswer: -3*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2 + 5500*l + 17473950.\nAnswer: -2*(l - 4635)*(l + 1885)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rddrrrdr. What is prob of picking 3 r and 1 d?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, z: 4}. What is prob of sequence ttz?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (1 - 3) + (-5 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4*l**2 + l - 3. Let h be i(-6). Suppose 53 = p - 1. What is the highest common factor of p and h?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -8. Let s be 8343\/33 + (-4)\/4. Let t = -252 + s. Which is the biggest value? (a) 0 (b) t (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 12:28 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1256 + 1906. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/118 and 47\/12.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 325.\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 75 (b) -5 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 666455851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + g - 628, -2*t + 4*g - 3*g + 1253 = 0. Calculate the smallest common multiple of 76 and t.\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6025252229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28*v**2 - 217*v**2 - 14*v**2 + 571*v - 515*v wrt v?\nAnswer: -518","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 325\/9 in 3\/5, -6, -1\/4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6251\/31205 + -2\/6241. Let d(c) = -c**3 + 4*c**2 + 7*c. Let p be d(5). Let l = 9 - p. Is l != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 b when two letters picked without replacement from {s: 1, v: 1, l: 1, b: 1, z: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 888400 and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 911406?\nAnswer: -911408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 780316429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*o + 138*o + 3 + 55*o - 30*o.\nAnswer: 293*o + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 1 = 18*g - 14*g, -2*z + 6 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -t**4\/4 - 8*t**3 - 21*t**2\/2 + 55*t + 36. Let a be y(-23). Suppose -a*f + 867 = -26*f. Which is smaller: -50 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46780391 to the power of 1\/3, to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence op when two letters picked without replacement from {p: 7, c: 8, u: 1, o: 2}.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-18)\/15)\/((-3)\/10). Suppose c = 4*a - 4*c - 27, 0 = -w*a - 5*c - 3. Solve 5*x - a*x = -8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*k**3 + 61*k**3 + 72*k**3 + 49*k**3.\nAnswer: 195*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 456271*m**3 - m - 49719.\nAnswer: 2737626*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1336*b**2 - 1378*b**3 + 1330*b**2 - 3997*b**2 + 1331*b**2.\nAnswer: -1378*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1353 + 1353.2. Let q = 1 + -1.1. Suppose x = 5*y + 5, x + 3*x = -4*y + 20. Sort i, 1, q, x in ascending order.\nAnswer: q, i, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -4391*u**3 - 65862*u**2 + 149339*u - 102 = 0.\nAnswer: -17, 3\/4391, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 24\/6 + 23 + (4 - 7). Let g = 106 - 45. Let r = g - n. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -8430, -58, 2 in descending order.\nAnswer: 2, 1, -58, -8430","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen eighths of a century?\nAnswer: 1950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 4*g**4\/3 - 20*g**3 + 236*g**2\/3 - 60*g = 0.\nAnswer: 0, 1, 5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 679075578?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.01 (b) 0.5 (c) -145563\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3255052?\nAnswer: 2, 23, 35381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d - 2*d + d)*(-2*d**2 + 2*d**2 + d + d**4).\nAnswer: -5*d**5 - 5*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 7*q**3 - q**2 + 1. Let m = 12 + -2. Let c be 8\/m - (-90)\/(-50). What is d(c)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 - 8 = -3*d. Calculate the highest common factor of 55 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4220.0002551 + -4220. Round n to five decimal places.\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 0) + ((-300)\/5)\/4. Let a = -17 - n. Sort 0, a, 3, -4 in descending order.\nAnswer: 3, 0, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -25 + 8 + 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 2*f + 36, -8*t + 5*f - 10*f = -123. Solve 10*s = t*s + 5*x - 17, -2 = 5*s - 4*x for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 45\/2, -7.1, -0.3 in descending order.\nAnswer: 45\/2, -0.3, -7.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 5:30 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*f + 3*f + 0*f)*((-9*f - 6*f + 5*f)*(3*f - 3*f - f) + 0*f**2 - 2*f**2 + 3*f**2) as d + s*f + o*f**2 + h*f**3 and give h.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24786519 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 523, 1931, 4285, 7597, 11879?\nAnswer: 17143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78203.\nAnswer: 78203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, -2\/7, 0.71?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j + 9. Let d(z) = 8. Suppose 0*v = -4*v - 4*i - 12, v + 3*i + 3 = 0. Let c(r) = v*d(r) + 2*f(r). Let l be c(-5). Solve 4*s = 8 + l for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 913259 is divided by 1860.\nAnswer: 1859","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2810, 5648, 8486?\nAnswer: 11324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -788*g + 1105. Is l(-35) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (22\/(-10) - -3)*10. Let q = 203 + -98. Suppose 4*o = 119 + q. Calculate the highest common factor of c and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -204.087 rounded to zero dps?\nAnswer: -204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-1 - (7 - 3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/35 and 32\/43?\nAnswer: 1505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 824122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from afffnfjfuffffjfnunff. Give prob of sequence un.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3375419 by 1.\nAnswer: 3375419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dyntfcny. Give prob of picking 1 n and 1 t.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11011 + 1?\nAnswer: 11012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*t + 20. Let v(i) be the second derivative of i**5\/20 + i**4\/2 - 3*i**3\/2 - i**2\/2 + i. Is 5 a factor of v(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2528 + -2477. What is the greatest common factor of p and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*p - 5*p + 3*p + 3)*(3 - 13 + 2) in the form y*p + a and give a.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 - 12. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/46*((-1)\/2)\/(-1). Suppose -7*s - 2 = -9*s. Which is the nearest to 2? (a) 0.4 (b) s (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3076, 3078, 3080, 3082, 3084, 3086?\nAnswer: 3088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2.7, -0.4, 2\/49, -3, -0.38 in decreasing order.\nAnswer: 4, 2\/49, -0.38, -0.4, -2.7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 = 133\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 11:50 PM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-33)*57\/(-4560)*-120?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 572 and 132340.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2374551*j**6 + 2422952*j**2.\nAnswer: 284946120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244658.\nAnswer: 2, 149, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5395000 rounded to the nearest one hundred thousand?\nAnswer: -5400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 25*n**2 - 10*n - 131. What is k(-25)?\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - ((-40)\/(-146))\/4. Let r = i + -267\/365. Sort r, -2, 3.\nAnswer: -2, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 40670, 5, 2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away 1488891816741?\nAnswer: -1488891816741.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6705407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6999417 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -13310 (base 4) to base 10\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, -1, 5701142 in increasing order.\nAnswer: -28, -1, 5701142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of t**5\/10 - t**4\/8 - t**3\/2 + t**2\/4 + t - 27. Suppose d(l) = 0. What is l?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 11*w**2 - 5*w + 35. Calculate y(11).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1881695 and 274.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 35, 71, 111, 155, 203, 255?\n\"Answer: 2*f**2 + 30*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -r**5\/60 - r**4\/4 + 3*r**3\/2 + r**2 + 2. Let t(q) be the second derivative of j(q). List the prime factors of t(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 2, -4, 11 in ascending order.\nAnswer: -7, -4, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fvvvvvvffqvffq. Give prob of picking 2 q and 2 f.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 0, 5, -5 in increasing order.\nAnswer: -15, -5, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -342618 divided by 51?\nAnswer: -6718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 divided by -539336.\nAnswer: -41\/539336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21122 - -21122.00009657. What is m rounded to five dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide (-1)\/(-3) + (-448)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1477 + 1584. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (32\/20)\/4 - 12852\/(-20). Suppose 0 = p + 115 - i. Does 44 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**4 - 2*x**4 + 13*x**4)*(5*x - 13*x + 5*x)*(-1 - 2 - 8) + 4*x**5 - x**4 + x**4.\nAnswer: 268*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.4 + 5.4. Let s be 54*(3 - 2)\/3. Let c be 20\/s*6\/30. What is the third biggest value in 3, c, p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-4)\/q)\/(((q\/((q*q*q*q**(2\/15))\/q))\/q)\/q))**(-8\/9)*(q**(-1)*q*q)**45*(q*q\/(q\/(q**(-4)\/q)))\/q**(-2\/3) assuming q is positive.\nAnswer: q**(5729\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2041*d + 151116. Calculate t(-74).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -4*v + 1. Let j be y(-2). Let d(r) = 7*r - 6*r - 10*r + r - 23. Let o be d(-13). What is the greatest common factor of j and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/((-1)\/(-4) - 0). Let b = 541 + -376. Suppose b = 3*u - 0*i - 3*i, 106 = 2*u - s*i. What is the remainder when u is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 133059673\/2 or 66529836?\nAnswer: 133059673\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -232112231 (base 4) to base 15.\nAnswer: -3b3ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*m + 5*c = -189*m - 105, m = 2*c + 36 for m.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*a - 5*u, 2*u = -0*u + 6. Let c(k) = k**2 - 7*k - 5. Let m be c(-5). Suppose 4*y = m + 13. What is the remainder when y is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7984196 to the power of 1\/3, to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-27)\/36)\/((-1)\/4). Suppose 3*x - 4*c = f, 3*c - 10 = -x + 4. Solve 0 = x*r + 3*l - 3, 0 = -3*l + 4*l - 1 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.2586 - -0.125. Let v = -25.3566 - a. Let w = -0.023 - v. Round w to the nearest integer.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4619982?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2719 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174744 is divided by 174701.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 1577 = -6*f + f, -2*h - 620 = 2*f. Let s = -310 - f. Solve 3*u - 1 = s*y - 4, 3*y = -4*u + 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**2. Let d(t) = -3*t + 0*t - 1 + 7. Let z(n) = 2*n - 5. Let l(w) = -5*d(w) - 6*z(w). Give f(l(m)).\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -3*r**5\/20 + 13*r**4\/4 - 23*r**3\/2 + 33*r**2\/2 - 34*r. What is o in g(o) = 0?\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4213.77 and 4.80673.\nAnswer: 4218.57673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1b (base 15) to base 7\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 96626727?\nAnswer: 96626727","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2.9, -0.5, 7\/2?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22004400997 - -252.\nAnswer: -22004400745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/1008 and 61\/1512.\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 480340 and 5.\nAnswer: 2401700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*(-20)\/(-105)*(-90)\/(-40).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283 is divided by 276.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 + 38*m**2 + 252*m + 360.\nAnswer: (m + 2)*(m + 6)*(m + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2226 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*t + 18 = 31*t + 5*g, 5*g - 6 = 3*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 5*m - 71 = h, -4*m + 124 - 478 = -5*h - 130 - 145 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2568, 28146, 99734, 240336, 472956, 820598?\nAnswer: 1306266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 42*a + 218. Let t be o(36). Solve 3*m + 4*y = 11, -t*y + 14 = -m + 1 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15048 and 1064?\nAnswer: 105336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 3*k - 18 = 0, -3*k = n - 0 - 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 15 = -21. Let t(b) = b**3 - 10*b**2 + 19*b + 17. Let l be t(7). What is the greatest common factor of w and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10067553 divided by 115719?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*s - 99*s - 5460 = -51*s. What is the lowest common multiple of s and 63?\nAnswer: 16380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2459\/8925 - 13\/1275. What is the closest to 2\/91 in -6\/5, a, -1\/22?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - v**2 - v + 6. Let d be x(0). Solve d*m = 3*m - 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 432?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 735 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 56? (a) 0.109 (b) -2\/3 (c) -0.3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/560 and (-369)\/(-164) - 549\/280.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 435*w**2 - 367*w**2 - 18*w - 39*w**2. Let o(h) = 2*h**2. Give x(o(t)).\nAnswer: 116*t**4 - 36*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1067?\nAnswer: 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -138, -125, -126, -147, -194, -273, -390, -551?\nAnswer: -762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5 - ((-2)\/(-10))\/((-12)\/(-180)). Calculate the lowest common multiple of ((-115)\/92)\/(2\/s) + 84 and 4.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 6:53 PM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*j + 2*j, -2*a = 3*j - 1182. What is the hundreds digit of (-8 - a\/(-9))\/((-2)\/(-12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 46?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -119 + (-12)\/(-18) + (-1)\/(-3). Let u = p + 80. Is 13 a factor of -2 + (-7)\/(-3) - u\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -83553, -83530, -83491, -83436, -83365, -83278?\n\"Answer: 8*v**2 - v - 83560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3493, 0, -4 in descending order.\nAnswer: 0, -4, -3493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*m**2 + 79*m**2 + 2*m**3 + 44*m**2 - 57*m**2.\nAnswer: 2*m**3 + 123*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 332\/6 - (-2)\/20*(-13 + (-3776)\/(-192)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -8. Suppose 4*m - 18*m = -644. Is 8 a factor of m\/(-4*(-1)\/i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10305)\/2290*1\/2?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0.5, 1.8, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -5*h - 16, -525*h - 526*h + 2*l = -1052*h - 8 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 5*z**2 - 6*z. Let t be r(6). Let j be 0 + 2*(t + 6). Suppose -v - j = -4*v. Solve -b = -3*b - v for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -18*b + 93. Let v be w(5). Factor 3*y**4 - 61*y**3 - 61*y**3 + 128*y**v.\nAnswer: 3*y**3*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/50 - (6\/(-30)*7248919 - -5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 1) + -1 - -6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 335205 divided by -195.\nAnswer: -1719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -90834 by 45417.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 greater than 24700367.12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 331918193.\nAnswer: 443, 683, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 15) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/4*(-60)\/43740*-81.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 45 = -4*u + 5, -3*m - 10 = u. Let w(v) = -90*v - 33. List the prime factors of w(u).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y + 4 + y**3 + 3*y**2 - 4. Let i be (-2)\/(-4)*(39 - 37). Let l(w) = w**3 - w**2 - w. What is i*x(r) + 2*l(r)?\nAnswer: 3*r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 + 38)\/(-2) + -2. Let w(c) = -c**3 - 25*c**2 - 49*c + 1. What is the tens digit of w(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 904*g - 1127 + 9646 + 10465 = 0 for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 4, -4865, 2\/3, -2\/7, -0.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/5 + 3623182*k**2 - 108695514*k\/5 + 163043298\/5.\nAnswer: 2*(k - 3)**2*(k + 9057961)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**7*r*r\/(r\/((r*r**2)\/r)))\/((r**(-8)*r)\/(r*r**(-3)\/r*r)) assuming r is positive.\nAnswer: r**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.016 + -0.704. Let z = -0.588 - o. What is the closest to -3 in z, 2\/3, -9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 5*p + 16. Let v(z) = 29*z + 1. Calculate v(d(i)).\nAnswer: 145*i + 465","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and 142005 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 12*k**2 + 3*k + 78. Suppose 2*g - 5*j - 77 = 0, 3*g = -4*j + 5*j + 109. What is the smallest common multiple of g and n(-12)?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - (72 - 70)) + (-2 - 56 - -4).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-3)*2\/(-3). Suppose -4*q = 3*q - 49. Suppose -q = 3*y - 4. Is y greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 58 - 40 = 0. Let f be (1\/381)\/(c\/36). Is 0 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*3 - ((-2)\/(-12))\/(1\/18). Sort z, -134, -7 in decreasing order.\nAnswer: z, -7, -134","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123369503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1195*q**2 - 32*q**3 + 465*q**3 - q**5 - 769*q**3 wrt q?\nAnswer: -60*q**2 - 2016","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/3 - 32\/(-48). Suppose d = m - 0 + 2. Let r(b) = -7*b**3 - 6*b - 3. Let u be r(m). Calculate the greatest common divisor of u and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 4. Suppose -3 = -4*n + n. Let k be (n\/(-3))\/(6\/18). Is q less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2*k**2 - 5 - 2 + 5*k)*(-3*k**2 + k**2 + 3*k**2) + 4*k - 4*k + 7*k**4.\nAnswer: 9*k**4 + 5*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2105, -1, 0 in increasing order.\nAnswer: -1, 0, 2105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*l + 33*l + 6. Calculate the remainder when 15 is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/(-84) - (-443)\/3087. Let k = -7389701396 + 364992131372809\/49392. Let p = k + a. What is the common denominator of p and -127\/18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93143.\nAnswer: 17, 5479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -3*m + 14, -9 - 6 = 3*o. Suppose -16 = -2*p + 2. Let q = p - 5. Solve s + m = q for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fovfvfvvfvvwo. Give prob of sequence fwff.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1937 and 1639.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 488893583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 - 8*i + 21. Let u be h(-9). Let o(q) = -q**2 - q + 1. Let n(z) = 12*z + 6*z**2 - 2*z**2 + 6*z**2 - 10. What is u*o(c) + n(c)?\nAnswer: -2*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(5\/6)*t*t)\/t)**(-36) assuming t is positive.\nAnswer: t**(-102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**(-1\/14)*d*d)*d*d\/(d**(-1\/11)*d))**37 assuming d is positive.\nAnswer: d**(-4773\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -297.804015 rounded to 2 dps?\nAnswer: -297.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 3) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -16. Is 1.1 less than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + v - s - 84 = -90, 22*v = 18*v + 4*s + 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 0 + sqrt(171) + sqrt(171) + sqrt(171))*-6)**2 + -5 + (sqrt(1216) + -1 + 0 + sqrt(1216) + -1 + (sqrt(1216) - (sqrt(1216) + -2) - sqrt(1216)))**2.\nAnswer: 648*sqrt(19) + 56651","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7355 = -1083*d - 28384 for d.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.49 (b) 84 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 - -30. Let w(u) = -25*u + 10*u - j*u + 15. Let m(y) = 7*y - 4. Give -15*m(h) - 4*w(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10\/3 of a millennium?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 8\/3, -2\/9, -3\/2, 378\/37, 2 in decreasing order.\nAnswer: 378\/37, 8\/3, 2, -2\/9, -1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_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: What is ((-40)\/(-345))\/(436\/(-4578)*(-14)\/(-8))?\nAnswer: -16\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 196884 and 216.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - f - 33. Find the common denominator of (1\/20)\/((-3)\/(-369)) and 145\/(-2)*f\/(-550).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 863508 by -215877.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5279 = -3*k - p, -5287 = -5*k - 3*p. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5 - 177\/(-6))*4\/3. What is the highest common factor of 46 and k?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15 plus 8390667274?\nAnswer: 8390667274.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 120 + -78. Let a = d - 52. Let l = -6 - a. Solve -l*n = -0*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4835\/52 + 1524\/13. Find the common denominator of (3 + (-567)\/33)*(-7)\/112 and l.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of 1145*d**2 - 30*d - 15. Suppose c - 6*c = -35. Let z be s(c). Round z to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a kilogram in grams?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*y - 70*y + 3*n = -9070, -n = 4*y - 7273. List the prime factors of y.\nAnswer: 23, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1543048 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/3 - 2)*3. Suppose s + r = -0*s. Let u be (345\/6)\/(s\/(-8)). Round u to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/15 + (-2)\/(-6))*651\/(-6696)*-45\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**3 + a**2 - a + 3. Let u(s) = -7*s**3 - 91*s**2 + 2164*s - 11212. Let p(w) = 4*g(w) + u(w). Suppose p(i) = 0. What is i?\nAnswer: 7, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 426 is divided by 20.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/16, -10.8, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 637648 and 2670151.\nAnswer: 42722416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 9 + 0)*(-4*w + 2*w - 2*w).\nAnswer: -52*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/14)\/(-7 + (-2964)\/(-420)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 0 + 4 - 4. Let c(n) = -91*n. Let i be c(-1). Let l(f) = 46*f - i*f + 43*f. Calculate o(l(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3706165.956 rounded to the nearest one hundred thousand?\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2287\/5369 + -2\/767. What is the closest to o in -0.2, 0.1, 1\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that g**3\/3 - 22*g**2 - 312*g = 0.\nAnswer: -12, 0, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -3910 to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27561.1 - -27568. Which is the nearest to -2\/7? (a) 0.1 (b) -1.5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3*h - 220. What is f(-76)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q**3 + 168*q**2 - 2352*q + 10976 = 0. Calculate q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3289930, 6579855, 9869780, 13159705, 16449630?\nAnswer: 19739555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -845380 + -12?\nAnswer: -845402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -4*t**2\/3 - 7072*t\/3 + 222960 = 0.\nAnswer: -1858, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express b**2 + 0*b + b + b + 2*b**2 in the form l*b**2 + c + p*b and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -111101001110111101 (base 2) in base 5?\nAnswer: -31011223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9482*w**3 - 16849*w**2 + 16849*w**2 + 9483*w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*g - 21. Let w(t) = -2*t - 18. Let j be w(g). Is j smaller than -2\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 240150 (base 8) to base 5\nAnswer: 10111044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 396098.2um to centimeters.\nAnswer: 39.60982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4544 and -5.\nAnswer: 2.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -68.4 in 5, 3, -0.1, -123?\nAnswer: -123","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*v = v + 21*v - 2014620. List the prime factors of v.\nAnswer: 33577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of 3*q**2 + 3*q + 3. Let y be a(4). Let w = 31 - y. Let h(g) = -g**3 + 6*g**2 - 6*g + 2. Give h(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2329 - -2326. Sort -14, 9, a, 1 in ascending order.\nAnswer: -14, a, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*u, -15 = 5*r - u + 9. Let v(g) = -g**3 - 4*g**2 + 6*g - 4. Give v(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(2\/3)*y)\/y)**(-1\/73))**(-33)*((y**(1\/4)*y)\/y)**(-1\/4)\/(y**(-4)*y*y\/y**(3\/7)) assuming y is positive.\nAnswer: y**(21809\/8176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -1349*g**2 + 61*g - 110*g + 2 + 1343*g**2 as v*g**2 + q*g + c and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -492 - -527. Suppose -g*d - 885 = -40*d. Calculate the least common multiple of 3 and d.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 710438 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18867.\nAnswer: 3, 19, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 1034 = -4*i, -2*i + 12 - 4 = 0. Let x = -202 + s. Solve -2*o = 8, -2*o - 1 + x = 5*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)*-2 + sqrt(42))\/(sqrt(72)\/(sqrt(36)\/sqrt(3))).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + -13 - -7) + 12 - 27.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58839*c + 2*w = 58838*c - 44, 12*c - 3*w + 393 = 0 for c.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*f - 31*f + 2*m + 23840 = 0, -f + 4*m = -5953. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h - 6. Let p be c(-5). Suppose 2*o + p = 5*o. Suppose 4*d - 1 - 11 = 0. Solve 0 = d*s + 9 - o for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/z**8))\/z**(-2))**(-38\/3)*((z\/(z**(-8)*z)*z)\/((z**1*z)\/z))\/(((((z*z*z*z**0)\/z*z*z)\/z)\/z)\/(z\/(z**(-1\/5)\/z))) assuming z is positive.\nAnswer: z**(-1777\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13459\/4 - -3403. Let d = -38 + o. Which is the nearest to 1? (a) d (b) -4 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15336582270827770.19999862 - -15336581793690031. Let l = i - -477137734. Let s = l - -5.2. What is s rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5220732\/95 greater than -54956?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f**2 + 4*f**2 + 2*f**2 + 9*f - 3*f**2 wrt f?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - q**2 - q + 1. Calculate w(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 21 + 9 = 0. Solve -6*j + 5*j - 3*j**3 - 2*j + m*j**2 = 0 for j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1096809.\nAnswer: 3, 7, 29, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -5*g + 121. Let o be a(11). Suppose 31 + 67 = 5*p + v, 3*p + 3*v = o. What is the greatest common divisor of 1 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(49)*2 + sqrt(49))*2 - sqrt(49)) + sqrt(49))\/(sqrt(7) + sqrt(847)*-2) + (-2*sqrt(4032))\/(sqrt(256)*2).\nAnswer: -25*sqrt(7)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 2 + (-3)\/(-3). Suppose 2 = 2*v - 0*i - 2*i, 8 = g*i. Let c(w) = w**2 - 2*w - 2. Let s be c(-5). Solve 2*x = v*q + 12 + 8, -5*x + s = -4*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 7*j + 1597 = 1547, 58 = 13*z + 4*j for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 + 324*k + 4392. Give w(-310).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001034013 rounded to 5 decimal places?\nAnswer: 0.00103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14240*z**2 - z - 14675*z**2 + z + 28873*z**2.\nAnswer: -42*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 352749141 divided by 3\nAnswer: 117583047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 267062364 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 12432 (base 5) to base 3\nAnswer: 1100202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -283211.4339 to the nearest one hundred.\nAnswer: -283200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c - 19*c**3 - 7*c + 5*c.\nAnswer: -19*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -0.0442.\nAnswer: 0.01768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*q - 2*c + 57, 0 = 3*q + c - 64. What is the smallest common multiple of q and 285?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five quarters of a meter in millimeters?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - (-4 + (6 + -4)\/(-2)). Suppose -4*k - 9980 = -o*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*r + 4*r - r)*(-2*r - 8 + 8) to the form x + d*r**2 + t*r and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 5705*f + 1608767. What is p(-282)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -7*u + 18. Let o(y) = 14*y - 38. Give 6*o(k) + 13*x(k).\nAnswer: -7*k + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/4*u**2 - 1\/4*u**3 + 2 + 3\/2*u.\nAnswer: -(u - 2)*(u + 1)*(u + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -5*x + 6. Let t = -13455 + 13460. What is the nearest to x in 1\/3, t, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17089 + 8014 + 7455 = -30*g. Let j(l) = 2*l**2 + l. Calculate the smallest common multiple of g and j(1).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/3)\/3*2\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of 4*c**3 + 11*c**2\/2 + 13. What is the second derivative of a(k) wrt k?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10240 - -3040?\nAnswer: -3200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2*c**2 + 2 + 13*c**3 + 0 in the form m*c**3 + l*c + r + v*c**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 - 7*q**2)*(5 + 9 - 7 + 1 + 2 - 5 + (-5 + 0 + 4)*(4 + 0 - 3) + 4 - 4 + 1).\nAnswer: -35*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 484 and 13062755.\nAnswer: 13063239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -f**2\/6 + 118*f\/3 - 235\/6 = 0?\nAnswer: 1, 235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56 + 66. Let y(b) = 7*b**2 - b + 2. Let d(o) = 29*o**2 - 4*o + 7. Let w(x) = -2*d(x) + 9*y(x). What is the remainder when w(3) is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - o + 81. Let l be i(0). Suppose 4*n - l = 103. Suppose 20 = 2*f + 5*s, 3*f = -4*s - 9 + n. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b + 3*k + 389 - 142, 0 = -170*b + 166*b - k + 184 for b.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3028 - -3195. Solve -163*r + 24 = -y*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -84708 or -84733?\nAnswer: -84733","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/7 and -16\/691.\nAnswer: 4837","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 43649636 to the power of 1\/3, to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -w - 5*u, 8*u = -3*w + 3*u + 7. Solve -w*k - 5 = -3*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + 5*x - 5*x)*(x + x**2 - x)*(1 - 3 + 3)*(2*x + x + 6*x).\nAnswer: -36*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/50223 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 601 - 60. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n - 6. Let b be 4\/6 - 86\/(-6). Suppose 0 = -c + 4*r - b, -2*c + 0 = 3*r + 8. Let f be a(c). Does f = 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 16 = 5*b + 5*v, -b - 2*v - 7 = 0. Let t be -1 + b + (-44)\/(-4). Is 14 greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 80 = 104 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -2*m - 3*l + 432, 0 = 4*l - 16. Is m a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -357930, -715879, -1073828, -1431777?\n\"Answer: -357949*i + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 389 is divided by 230.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 28*d**2 - 29*d + 238. Calculate v(27).\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1199 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2426*u**2\/3 + 327610*u\/3 + 4500.\nAnswer: 2*(u + 135)*(1213*u + 50)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 61464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -376 + 744. Let f be 1808\/p - (21\/23 + -1). Solve -3*c = -f - 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-8))\/(27936\/64)*-6.\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-6)*645\/(-4730)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46926 - 4129435\/88. Find the common denominator of d and -43\/14.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 697*n - 1415*n + 716*n - 2.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 3 = 5*s, -5*p + s - 11 = 2*s for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 155147 and 1081?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -609115*h + 609115*h + 1440*h**2.\nAnswer: 1440*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11482*n + 4263*n - 15743*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 7*h. Let q be i(7). Let s be (-35)\/5 - (-27 + -8). Solve 0 = -4*l - 3*m + s, 5*l - 8*m + 3*m = q for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -4*t + 1, -5*t + 6*t - 3 = -3*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s + 26. Let v be b(-12). Let z be (-3)\/v + (-158)\/(-4). Let t = z + -38. Which is smaller: t or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011 (base 2) in base 12?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/24649 and -53\/9.\nAnswer: 221841","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 20, 33, 46, 59?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-115)\/10*(20\/(-4) - 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1059 + 2043\/2. Let l = i + 38. Which is the second biggest value? (a) 2\/11 (b) l (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 109987?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k**3 - 3*k**3 + k**3 - 6*k**2. Suppose 0 = 32*x - 58 - 134. Determine j(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 less than -178?\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 145 = -5*o, -2*o - 3*o = -2*k + 76. Which is the nearest to k? (a) 2.7 (b) 0 (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7c (base 16) to base 9\nAnswer: -147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of 2*g**2 - 113 + 0*g + 0*g**3 + 1\/12*g**4. Let h(q) = 284*q**2. Calculate z(h(p)).\nAnswer: 568*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/1*110\/66\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 2*h**2 - 3*h + 2. Let q be (-3 + -15)\/(-3) + -3. Let l be x(q). Which is the smallest value? (a) 1\/2 (b) l (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -229*j - 2752. Give s(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 + 24.7. What is the second biggest value in c, 1\/2, -2\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 6, p: 12}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from {q: 2, w: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d + 29. Let w be u(13). Solve w*x = -0 - 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yiffffizii. What is prob of sequence fyf?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/10)\/((135\/(-10))\/(-9))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7 - 934*i**3 + 257*i + 2*i**2 - 42*i - 7 + 111*i wrt i?\nAnswer: -5604*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m**3 - 2*m**2 + 41*m - 2. Let j(x) = 10*x**3 - 7*x**2 + 124*x - 7. Determine 2*j(z) - 7*l(z).\nAnswer: -z**3 - 39*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -5*t + 8. Let n(x) = -5*x + 7. Let l(b) = 7*n(b) - 6*p(b). Let i be l(-3). Let q = 23 - i. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2941 - -0.5841. Which is the nearest to 0.1? (a) p (b) -0.16 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/185*(-15)\/12?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 14277 = 3*l, -3*t + 2*t = -l - 4763. Let i = t - 1328. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*r + 30 = 120*r + 5*i, 16*r = -3*i + 56 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4746700219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y + 6 + 10 - 11 + (4*y - 5*y + 0*y)*(-2 + 5 - 2) + 0*y + 0*y + 2*y + (-3 + 3 - 2)*(-4*y + 4*y + 14*y).\nAnswer: -24*y + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**5\/9 + 2*y**4 - 92*y**3\/9 + 148*y**2\/9 - 34*y\/3 + 26\/9 = 0. What is y?\nAnswer: -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**4\/2 - 6*t**3 + 10*t**2 = 0. Calculate t.\nAnswer: 0, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three eighths of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 27*v + 39. Let p be g(26). Suppose -h - 3907 = -4*o, 8*o + 4880 = p*o - 5*h. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 83053*s**4*y - 2*s**4 + 35*s**3 - 606*s**2*y + 2*s**2 + 13419*s*y wrt s.\nAnswer: 1993272*s*y - 48*s + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 less than or equal to 35333?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 235097022?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -301*j = -223*j - 2184 for j.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -81 in 10, 5, 2, -1\/3, 2\/17?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 10*p + 48 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of w**5\/60 - w**4\/3 - 10*w**3\/3 - 38*w**2. Let n be p(11). Calculate the greatest common divisor of n and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.1 - 0.1. Let b = p + -2. What is the second biggest value in -3, -0.4, b?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -468*h - 403*h + 870*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 426*m**2 + 6*m + 7. Is 92 a factor of f(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -33*f**4 - 4*f**3 + 27*f**2. Let y(o) = 99*o**4 + 11*o**3 - 80*o**2. Let a(x) = 11*g(x) + 4*y(x). What is the third derivative of a(z) wrt z?\nAnswer: 792*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**2 + 3*w**2 - 5*w**2 + (-3*w**2 + 5*w**2 + 0*w**2)*(-4 + 2 + 3) + 11609*w**2 + 18*w + 11703*w**2 - 22114*w**2.\nAnswer: 1199*w**2 + 18*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 4*z**2 + z. Let g be h(1). What is the units digit of 21\/(-35) - (-43)\/g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/7)\/((-22)\/231)*-2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -9. Let z be q\/28 + 16\/7. Suppose 0*s - z*s = 0. Let u(j) = -j - 4. What is u(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/((-1)\/2) - 2. Solve 0 = 2*n - m*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4*x + 5*o = -70, 158 = 5*x - 4*o. Let q be 1\/3 + 50\/x. Let r be 130 + 2 + -2 + q. What is the greatest common divisor of r and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10837647 by -5.\nAnswer: -10837647\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 66440652 + -3?\nAnswer: 66440649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1454 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: How many minutes are there between 5:33 PM and 12:04 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3962 + -3957. What is the nearest to -2 in -10, -0.09, 2, w?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3*n**2 - n. Let t be k(3). Let a be (-1 - (-14331)\/t)*-2. Let b = -1200 - a. What is the common denominator of b and -27\/22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 8*o**2 - 22*o - 22. Let r(u) = u**2 - 3*u - 3. Let a(t) = -19*t - 6. Let l be a(2). Let z(y) = l*r(y) + 6*s(y). Let i(v) = 5*v**2. Calculate z(i(h)).\nAnswer: 100*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6758?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qffffffffffqfqfqqf. Give prob of picking 2 q.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-610)\/(-12810))\/((-14)\/(-12)*-2).\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(((-6)\/(-9))\/(3\/9))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14568 and 60093.\nAnswer: 480744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -30 times -7.9\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 - 27. Suppose -5*w - 2*c - 9 = -1, 4*w + 4*c = -16. Suppose w = -4*m - m. Solve 4*d = q*d + 3*t - 1, d - t - 3 = m for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 4 = -11. Suppose -3*r + 3 = 0, 4*p + c*r = 2*r + 17. Solve p*u = 2*n + 4, -5 = -n - 1 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -20\/11 (b) 0.07 (c) 74\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11097*u**2 - 6 - 5526*u**2 + 6 - 5569*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8414, 16832, 25250, 33668, 42086, 50504?\n\"Answer: 8418*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**2 - 5*o**2 + 5*o**2 + (2*o - o**2 - 2*o)*(-1 - 2 + 2) - 3*o**2 + 1 - 8 + 2 + 2*o**2.\nAnswer: o**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 25 in -2\/7, 1\/2, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1619814 to the power of 1\/2, to the nearest integer?\nAnswer: 1273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 760, 1496, 2168, 2746, 3200, 3500, 3616?\n\"Answer: -5*a**3 - 2*a**2 + 777*a - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8296\/170 + -49)\/((-2)\/(-5)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27) + sqrt(54)\/(1*sqrt(2)).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4*v**3 + 32*v**2 + 7901*v + 39222. What is i(-5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = r - 105. Suppose -2*s = -3*g + 3*s - 3, 5*g + 5*s = r. What is the remainder when g is divided by (-3)\/(-1) - 0\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -250, -1\/5, -1\/106, -0.5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 101, 374, 827, 1460, 2273, 3266?\n\"Answer: 90*u**2 + 3*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -35 divided by 1142\nAnswer: -35\/1142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -12.6*-0.07\nAnswer: 0.882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - ((2 - 4) + (2 - -2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 * -35814091.\nAnswer: 1432563.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2393924?\nAnswer: 2, 13, 19, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2142*u - 171. Let x be k(6). Suppose 4*y + x = 8*n - 7*n, -2*n + 2*y = -25374. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-20))\/(4\/320*15)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -185140*0.2131.\nAnswer: -39453.334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0.3, -0.0246799, -2\/17, 1, -6?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -5 + f**3 + f**2 + 10*f - 6*f**2 - 8*f + f**2. Let c be s(4). Solve -7*p + 2*p = 3*a - 20, 0 = -c*p + 12 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5103)\/1134)\/(((-2)\/76)\/((-2)\/6))\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-48\nAnswer: 4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-6 + (6 + 5 - 3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 6 = 2*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d + 27. Let v be h(-13). Suppose 0*s + 4*y = -4*s - v, -3*s = y + 34. Let x = 17 + s. Calculate the greatest common factor of x and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q. Let w(m) = -2*m - 3. What is w(t(a))?\nAnswer: 6*a - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/28*1\/(-9).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(99\/378)*558\/2604\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 95582, 191135, 286688, 382241?\nAnswer: 477794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 - 10*z + 12. Let x = -51 + 60. List the prime factors of d(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -8\/57 + 160\/57. Let s = -3\/527 - -12136\/2635. Find the common denominator of a and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -362.9198 to 1 dp.\nAnswer: -362.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142685846.\nAnswer: 2, 2081, 34283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3\/4)\/i**(-1\/7))\/((i**(-3)*i)\/(i\/i**(-6\/11))) assuming i is positive.\nAnswer: i**(905\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 90\/8*(-16)\/(-6). Calculate the highest common factor of k and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3299175, 1, 10\/7 in increasing order.\nAnswer: -3299175, 1, 10\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -11*z**6\/60 - 19*z**4\/24 + z**2. Find the second derivative of m(g) wrt g.\nAnswer: -132*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 - 4*r**2 - 2*r**2)*(-85 + 274 - 84 - 86*r - 68 - 75).\nAnswer: 688*r**3 + 304*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -15767, -15751, -15725, -15689, -15643, -15587, -15521?\n\"Answer: 5*a**2 + a - 15773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + 56 + -18 + -22.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 3*p - 15, 3*f + p - 19 - 18 = 0. Suppose 0 = 3*y + y - 36. Suppose f = h + y. Solve 2*r = -r - h for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 690143312 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -1245151?\nAnswer: 1245200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4*j = -32, -3*g - j + 6 = -3. Suppose 9*o - g*d - 8860 = 11*o, o - d + 4445 = 0. What is o rounded to the nearest one hundred?\nAnswer: -4400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -23, 9 in descending order.\nAnswer: 9, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 53*s**2 + 5403*s - 28. Calculate h(-102).\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + (41 + -111 - -48)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 1. Let i be -3*(2 + (-24)\/9). Let w be (-1 - 0)\/(1\/i). Is w not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/10*-4*30\/(-504)*(101 - 104).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 41793 = 5*s, 235*h = 237*h - 4. What are the prime factors of s?\nAnswer: 13, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -111 - 4?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 328*g**2 - 188*g**3 + 64*g**3 + 300*g**2 - 602*g**2 wrt g.\nAnswer: -744","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 423233342 (base 5) to base 7.\nAnswer: 21036442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 g when two letters picked without replacement from {g: 11, q: 3, l: 4}?\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4660991707 - 3*z**3 - 4660991707.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 7:25 PM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -6*m - 19. What is g(8)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 505678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3659 - 7490 = -391*r - 2810 + 4564 for r.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 660\/(-11)*3\/2. List the prime factors of 54\/15*h\/(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 302 = -3*f, -r + 948 = 2*r - 5*f. Suppose b - 4*g - r = 0, -b = 4*b + 3*g - 1486. Is 24 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 140*m**2 - 1041*m - 1754. What is o(-147)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in 3, 0, -152?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 369031*n**2*v + 3*n*v - 4*n - 3769*v + 2 wrt n.\nAnswer: 738062*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 - 1751\/2)\/((-15)\/6). Let n = 49249\/140 - c. Let u = 6\/35 + n. Which is smaller: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 51 - 51.98. Let f = 1396.9988 + -1396. Let u = p + f. Round u to three dps.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3614626 is divided by 25455.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, 2, 28, 62, 104, 154?\nAnswer: 212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of -b**6\/45 - b**5\/30 + b**4\/18 + b**3\/9 + 16*b - 9. Let h(f) be the first derivative of x(f). Factor h(a).\nAnswer: -2*a*(a - 1)*(a + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/121 and -56\/165.\nAnswer: 1815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0013349 to four decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2496))\/(sqrt(3) - (-1*sqrt(33))\/sqrt(11)) + (1*(-2*sqrt(1300) - -2*sqrt(13)*2))**2.\nAnswer: -4*sqrt(13) + 3328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -49, -4, 3\/5, 0.1, 1\/9 in descending order.\nAnswer: 3\/5, 1\/9, 0.1, -4, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8750767 and 1224?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z - z + 10*z.\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000069023 to seven decimal places.\nAnswer: 0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1778 and 1553972?\nAnswer: 1553972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -681 + 726. Suppose w*o = -15*o - 60. What is the third biggest value in -3, -5, 9, o?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 518\nAnswer: -2590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1280)*-1)\/sqrt(10).\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.27 and 2144.1045.\nAnswer: 2143.8345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-6\/13)*((x*x*x*x**(9\/4)*x)\/x)\/x)\/(x**(3\/13)*x*x*x**(-1\/6)) assuming x is positive.\nAnswer: x**(269\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6105 and 2535.\nAnswer: 1031745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/13 in -15, 27, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(5\/4)*y**(-15) assuming y is positive.\nAnswer: y**(-55\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**2 - 55*y + 56*y + 2*y**2 - 3*y**2 - 3. Give o(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4809.3 + 4809. Is b > 402?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1007009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, r: 1, m: 2, q: 4}. What is prob of picking 1 r and 2 q?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -533.\nAnswer: 4\/533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 720 divided by -5.\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 784\/9 + 9\/(-81). Let q be (5 - l\/27) + -2. Put -0.2, q, 6\/5, -0.4 in decreasing order.\nAnswer: 6\/5, -0.2, q, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1077.\nAnswer: 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 59*y**3 + 174*y**3 + 87*y**3 + (-2 + 3 + 1)*(-2*y**3 - 2*y**3 + 2*y**3) + 2*y**3 + 0*y**3 - y**3 as n*y**2 + k*y + x + g*y**3 and give g.\nAnswer: 317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 63\/(13\/28 + (-8)\/(-28)). What is the remainder when 83 is divided by (-17)\/51*i\/(-1)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 498, 497, 496, 495?\nAnswer: 494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 39648217 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: Solve -10*g - 21 = -3*g, 0 = -3*n + 58*g - 63*g + 45 for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 8, q: 1, u: 2, r: 5}. What is prob of picking 1 r, 1 g, and 1 u?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 6 + 14 = 0, 4*b = 4*t + 4. Let a(x) = x**2 - 6*x + 2. Let o be a(t). Let w be 8\/o*3\/(-2). Solve -y + 1 = w, k = -y - 1 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -6. Suppose -11 = -4*y - g. What is the third derivative of y*c**4 - 7*c**2 - 2*c**4 + 12*c**2 - 3*c**4 wrt c?\nAnswer: -72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4149.9 rounded to the nearest one hundred?\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**5\/7 - 8730*h**4\/7 + 105010*h**3\/7 - 166350*h**2\/7 - 105008*h\/7 + 175080\/7 = 0. Calculate h.\nAnswer: -4377, -1, 1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06142145 rounded to four dps?\nAnswer: 0.0614","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5 + 11*g**2 + 4372*g**3 + 8*g**4 - 4385*g**3 + 4 wrt g.\nAnswer: 192*g - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -48.333117 to zero decimal places.\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/12795 + -379589\/25590. Suppose 2*b + 5*a = 97, a - 38 = -4*b + 111. What is the common denominator of ((-6867)\/42)\/((-1)\/(2\/b)) and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of l**6\/120 + l**4\/24 - 2*l**3\/3 - 9*l**2. Let d be g(0). Is 142 - (-3 - (4 + d)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**2 + 11747*h**3 - 9*h**4 - 11745*h**3 + 98*h**4 to the form a*h**3 + z*h**4 + i*h**2 + m*h + k and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5538126739 to the power of 1\/3, to the nearest integer?\nAnswer: 1769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 1\/5 (c) 2\/7 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + v + 3. Let t be f(0). Let n(m) = -m + 5. Let w be n(t). List the prime factors of (-1)\/w - 63\/(-6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12247761 by 8.\nAnswer: -12247761\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4983.\nAnswer: 3, 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 2365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) + ((-2*sqrt(70) - sqrt(70))*-5 - sqrt(70)) + sqrt(70))\/((-2*sqrt(160) + sqrt(160) - sqrt(160)) + sqrt(160)).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 304.82457 and -3.\nAnswer: 301.82457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v - 260 = -1244. List the prime factors of v.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -2*x + 258 - 314, 2*x - 5*n = -14. What is the smallest value in x, 2\/15, 174?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + (-6)\/4)\/((-7)\/(-266)). Suppose -44 = -b + 4*p, 5*p - q = -b + 4*p. What is the hundreds digit of ((-426)\/8)\/((-9)\/b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5 - 6) + -87*1. List the prime factors of z\/(-7) - 24\/42.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -756 = -4*f - 10*f. Factor -6*n**4 + 5*n**4 + 62*n**2 - f*n**2 + 7*n**3.\nAnswer: -n**2*(n - 8)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a17d (base 16) to base 2\nAnswer: -1010000101111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -5*b - 6, -8*t + 3*b - 23 = -3*t. Let d = t + 11. Suppose 5*c = -2*m + 2 + d, c + 8 = -5*m. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, z: 5}. What is prob of picking 1 c and 1 z?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -69*v - 7223. Give l(-103).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, 143, 327, 587, 923?\nAnswer: 1335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 81516.43ug?\nAnswer: 0.00008151643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -429*w**2 - 2*w - 3. Let l(a) = -143*a**2 - a - 1. Let p(k) = 8*l(k) - 3*z(k). Is p(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4*n - 16 = 0, d - n + 0 = 3. Solve -2*o - 3*c + 4 = -d, -2*c + 12 = -2*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -p + 3*q, -3*p + 3*q + 56 - 74 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*k + 2*y, 5*y + 1 - 3 = -4*k. Let a be (-1)\/k*(1 - 3). Put 1, a, -0.2 in descending order.\nAnswer: 1, -0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(((n\/n**(-2))\/n*n*n)\/n)\/n*n)**(-38)*(n*n\/(n*n**(3\/4)*n))\/(n*n**(2\/7)))\/((n**(2\/5))**(5\/3)*n\/(n*n**7)*n**(2\/7)) assuming n is positive.\nAnswer: n**(-12431\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of 59*g**3\/6 - 25*g**2 - 11*g + 2. Let j(y) = -61*y + 51. Let f(w) = -5*d(w) - 4*j(w). Differentiate f(m) wrt m.\nAnswer: -51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - 4*y + 1. Let s be h(-3). Suppose s*x + 4*q = 12, -3*q = -x - 2*x + 15. Which is the second smallest value? (a) -0.2 (b) x (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -529056 divided by 6?\nAnswer: -88176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000012351 rounded to seven decimal places?\nAnswer: 0.0000124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -673*f + 211*f - 389*f in the form c*f + g and give c.\nAnswer: -851","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nienjyp. What is prob of picking 1 e and 1 j?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6230 and 10769.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -61*g + 7*g + 216. Sort g, -1, 3, -4.\nAnswer: -4, -1, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 904217598?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1156986877410896 and 4.\nAnswer: -1156986877410892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89 + 110*t**2 - 110*t**2 - 175737*t**3 + 89.\nAnswer: -175737*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -89 + 130. Let o be (2 + 1)\/3 - -6. Let x = o - -7. What is the remainder when s is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hghjchhchhhgh. What is prob of sequence cc?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -168*c - 37. Let j be z(-4). Let r = -606 + j. What is the remainder when 103 is divided by r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 990 and 4290?\nAnswer: 12870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1129073410 to the power of 1\/3, to the nearest integer?\nAnswer: 1041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02962 and -1294?\nAnswer: 38.32828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 12*l**2 + 9*l + 2. Let r(x) = 11*x**2 + 10*x + 1. Give -2*f(h) + 3*r(h).\nAnswer: 9*h**2 + 12*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -110.7 - -108.7. Let l = 0.086 + -0.086. What is the closest to l in -3, a, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9980642.\nAnswer: 2, 7, 53, 13451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*a**3 + 3030473*a**2 - 66844884*a?\nAnswer: -60*a + 6060946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 44*k - 1. Calculate the smallest common multiple of 1505\/175 + 4\/(-15) + (40\/12)\/5 and r(1).\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 AM and 8:10 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 7, -1\/5, 2, 11 in ascending order.\nAnswer: -3, -1\/5, 2, 7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**2 + 0*j**2 + 0*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-118*v + 72*v + 61*v - 11*v**2)*(v - v + v).\nAnswer: -11*v**3 + 15*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 74*m - 3226. List the prime factors of o(49).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 2*r - 29, -s - 13 = -3*s - 5*r. What is the remainder when 672 is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 9\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 9*z**2 + 19*z - 135. What is w(-9)?\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c - 108 = -16*c + c. Suppose 2*f - 46 = -0*f. Differentiate -4 - c + f + 10*s wrt s.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.28089 micrometers in kilometers?\nAnswer: 0.00000005328089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2209580*l**2 - 991 + 991 + 2209582*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -7*s**6\/120 + s**5\/3 - 365*s**4\/24 - 233*s**2 - 2*s. What is the second derivative of k(t) wrt t?\nAnswer: -42*t + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5311767156 to the power of 1\/2, to the nearest integer?\nAnswer: 72882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -2\/3 (c) 0 (d) -1.3 (e) -1\/4 (f) -76\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 161576237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 5 + 2 + (-5 + sqrt(26)\/sqrt(2) + sqrt(13))*1 + -6*(sqrt(117)*2 + -4))**2.\nAnswer: -1496*sqrt(13) + 15512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.093 - -1.093. Let y = 145.2 + -145. What is the closest to m in 5, y, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-17784)\/1216)\/((-54)\/12)\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 254566?\nAnswer: 254601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4899.9618 + -4903. Let m = d + 0.0382. Put 0.2, m, 0.052 in descending order.\nAnswer: 0.2, 0.052, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 5*c**2 - 9*c + 23. Is n(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/9*423\/72 and 81\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i = 24*i + 448. Let n be (-28)\/i*-2*3. Put n, 2, 0, 8 in descending order.\nAnswer: 8, 2, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-17 - -11) + 7 + -4 + 27?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5611.9 at least as big as -183.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (80*n + 96*n - 206*n)*(-n**2 + 0*n**2 + 0*n**2) + n - n - n**3 to the form h*n + q + f*n**3 + b*n**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 89 - 4*d + 84 - 377 + 86 + 120. What is l(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343) + -1 - ((sqrt(84)*4)\/sqrt(12) + sqrt(7))) + (-6*(sqrt(196) + sqrt(49)) + sqrt(49))\/(sqrt(7)*1*-5))**2.\nAnswer: -54*sqrt(7)\/5 + 5128\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -88. Differentiate -7 - 89*c + 2*c**3 + b*c + 55*c**3 + c**4 wrt c.\nAnswer: 4*c**3 + 171*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22 in -28, -0.08, 79?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1332 is divided by 343?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 23903373?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 124 + -119. Find the second derivative of 5*k**3 - 7*k - 4*k**5 - r*k**3 - 15*k - k**2 wrt k.\nAnswer: -80*k**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/9*(-6111)\/1455*24\/(-14)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - 2) + (-15)\/(-1). Let b = y + -12. Solve 2*a + 13 = 5, -b*a - 26 = 2*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 15\/4 of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 - -36.1. Which is the nearest to o? (a) 1 (b) 2\/7 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1860, -0.06, 1.2 in ascending order.\nAnswer: -1860, -0.06, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f - 24. Let m be y(4). Let a = m + 106. Suppose 174 + a = 3*q. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/6766 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -7*d**2\/2 - 34. Let h(z) = -3*z**2. Determine r(h(l)).\nAnswer: 21*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -0.2, 0.1, 1065, -0.11, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millennium in centuries?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 10*s + 13. Let y(f) = 3*f + 4. Determine 2*q(w) - 7*y(w).\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*i**2 - 48*i**3 + 2*i**5 + 48*i**3 wrt i.\nAnswer: 120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 133606, 133594, 133566, 133516, 133438?\nAnswer: 133326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.32? (a) 0.403 (b) -1 (c) 2\/3 (d) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -2*z - 44. Suppose z = j - 21. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 5*g + 38, 4*r - 2*g + 52 = 0. Let j = r - -17. Solve -j*y = -3*o + 15, 13 = -y + o + 2*o for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -161 + 106. Let x = q + 163\/3. Which is the nearest to 2\/7? (a) x (b) -3 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 3804.3 decades?\nAnswer: 38.043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -db (base 14) to base 5.\nAnswer: -1233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (0 - (2 - 0))*-33.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 7*c**2 + 30*c + 5. Let d be h(-6). Suppose -75*b = -d*b + 58. What is the highest common divisor of b and 783?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -5736?\nAnswer: -5736","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.24, 0.32, -0.7, 1 in increasing order.\nAnswer: -0.7, 0.24, 0.32, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 452843 is divided by 226414?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -116. Let l(z) = -z - 109. Determine 5*l(m) - 6*x(m).\nAnswer: -5*m + 151","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7ecf9 - -34?\nAnswer: -7ecc5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 230 - 232. What is the nearest to z in -0.11, 2, 2\/7?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**5 - 6*l**3 + 3*l - 3*l + 3*l.\nAnswer: 3*l*(l - 1)**2*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**2 - 3580*p - 24965. Determine f(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2. Let p = -294 + 284. Let h(g) = -22 + 8 - g + 9. Determine p*z(d) + 4*h(d).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 92922 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 408*n + 13962 = 26*n + 24*n for n.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, h: 1, p: 3, y: 1, l: 2, q: 3}. Give prob of sequence pp.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/318 and (7 + 6 - 10) + (-1239)\/424.\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**3 + 36*a**2 + 62*a - 28. Give s(-16).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 14) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3 = 0, 0*v = -h - 2*v + 2. Suppose -198*r - 33 + 363 + 264 = 0. Is r >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1010*l**2 + 2014*l**2 - 1001*l**2.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p*(p**(1\/16)\/p*p)\/p*p)*p)\/p)\/p*p\/p**(2\/17) assuming p is positive.\nAnswer: p**(223\/272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 8*x + 2*p = 34, 5*x + 3*p = 44. What is the units digit of -5*(8 - x) - -763*1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1 - 1649*i + 1839*i + 47*i**4 - 1 wrt i?\nAnswer: 564*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5229 and 31379229.\nAnswer: 31379229","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 65 * 10.414.\nAnswer: 676.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-5) + 187\/(-5). Let s be f\/(-3) - 2\/3. Solve 0 = 5*a - 2*a - s for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.9 + 0.3. What is v rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -0.124.\nAnswer: 0.0248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15141000 a multiple of 412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + v - v)*(-v**2 - 3*v**2 + 3*v**2) + (5*v**2 - 2*v**2 - 2*v**2)*(-11 + 11 - 12*v).\nAnswer: -10*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 0.1. Let d = w - -4.9. Sort 0, -3\/7, d.\nAnswer: -3\/7, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j + 4*g - 13, -5*g = -4 + 19 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 7*r + 2. Let m be x(-7). Suppose 5*d = 3 + 7, -k - 376 = m*d. Round k to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194303 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -b**5\/10 - b**4\/4 - b**2 - 2*b. Let c(q) = 14*q**2 + 49*q - 6. Let s be c(-6). Let y = -207 + s. Give d(y).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51 and 544.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2209618 a multiple of 227?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 n, and 1 e when three letters picked without replacement from nblbleds.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, -142, -244, -346, -448?\nAnswer: -550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -8*n**3 + 2*n**2 + 5*n + 3. Let f be m(-1). Suppose 4*b - u + f = 4, -3*b - 12 = -3*u. Solve b = -5*k + 3*k + 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2759056?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5160211, 10320430, 15480647, 20640862, 25801075, 30961286, 36121495?\nAnswer: 41281702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280252248?\nAnswer: 2, 3, 1021, 11437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-2))**(-23)*a**(1\/2)*a**(1\/14) assuming a is positive.\nAnswer: a**(-479\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((1 + sqrt(833) + -1 - sqrt(833)) + 6*sqrt(833)*2))**2.\nAnswer: 119952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9385304, 9385296, 9385286, 9385274, 9385260?\nAnswer: 9385244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 11*g - 2. What is r(-3)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 7*d**2 + 8*d + 55. Let p be v(-7). Sort p, 3, -5, 15.\nAnswer: -5, p, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -222 (base 3) to base 9.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 1:28 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1804454.\nAnswer: 2, 902227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3148 + -99. Suppose -a + 958 = -3*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - 7*n - 5. Let d(f) = -21*f**2 - 17*f - 2 + 13*f**2 + 14*f + 7*f**2. Give 2*a(g) - 5*d(g).\nAnswer: 3*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -30\/35371 and 54\/244993.\nAnswer: 39933859","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 7) to base 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 6*n**2 - 12 + 10.\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2126659121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49.1 + 49.10458. Round u to 4 decimal places.\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2829 to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v. Let f be q(-3). Suppose -2*x - 19 = 5*d, 3*x - d = f*d + 29. Suppose t - 18 = -2*j, -3*t + 45 = -0*t - x*j. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -404*f = 612*f + 26416 for f.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, b: 2}. What is prob of picking 3 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*n - 9 + 9 to the form v + w*n and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y**3 + 4*y**2 - y + 1. Let o(d) = -4*d**3 - 3*d**2 + 2*d - 1. Let k(i) = 3*l(i) + 2*o(i). What is k(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/5 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-85842)\/(-27)*(90\/40)\/((-6)\/(-4))?\nAnswer: 19, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9672.994t to nanograms.\nAnswer: 9672994000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 41674708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.5 + -0.5. Let w = -0.3 + 0.7. Let g(t) = t**2 + 6*t - 11. Let d be g(-7). Which is the nearest to p? (a) d (b) 0.5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -m**5\/20 - m**4\/3 - 2*m**3\/3 - 3*m**2 - 4*m. What are the prime factors of i(-4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6867960 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11019 + 22076. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 805147431?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2870\/53 - -210509\/3816. Calculate the common denominator of 41\/108 and c.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -5*f - 6. Let v(t) = -2*t**2 + 2*t + 4. Give 4*o(x) + 7*v(x).\nAnswer: -14*x**2 - 6*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 349 divide 365966635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*v**2 - 3*v**2 + 15*v**2 as q + f*v + b*v**2 and give b.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 110242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 138336917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -25326 and 0.16?\nAnswer: -4052.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 12414027 and 3724339.\nAnswer: 16138366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1003 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 116 = -3*x. Let k = -25 + x. Suppose 3*b + 101 = k*b. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2144, 2142, 2140, 2138, 2136?\n\"Answer: -2*w + 2146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4*n + 3)*(-3*n + n + 4*n)*((-4*n + 0*n + 2*n)*(-4 + 1 + 4) + 0 - n + 0 - 30*n - 24*n - 16*n) - n - 2*n**3 + n.\nAnswer: -586*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 221366617 + 15.\nAnswer: 221366632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 12:10 PM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of w**4\/12 - 5*w**3\/6 + 5*w. Let u(r) = -r. Give d(i) - 5*u(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2019*l - 66607. Give h(-33).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*m + 23*m - 17*m + 2*m**2 in the form v*m**2 + t*m + h and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 156*i**2 - 115*i**2 + 3*i + 8 in the form t + z*i**2 + s*i and give z.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -15 + 15 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 201694, 403390, 605086, 806782?\nAnswer: 1008478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/(-10))\/((-1)\/10). Let a(v) = 0*v**2 + 0*v + 0 + v**2 + 6 + 4*v. What is a(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 10:25 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6766294?\nAnswer: 2, 613, 5519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -194 + 157. Let t = -1373 + 1373.3. Which is the closest to f? (a) -4 (b) 0.2 (c) t (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 364399, 728806, 1093213, 1457620, 1822027?\n\"Answer: 364407*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 25 - 5)*(3*h**3 - 3*h**3 - h**3 + (-4*h + h + h)*(2*h**2 + 0*h**2 - h**2) - 5*h + 5*h + h**3 - h**3 - 2*h**3 + h**3 + 4*h**3 - 2*h**3 + 0*h**3).\nAnswer: 74*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13111*h**2 - 4*h + 4*h - 13108*h**2.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aag when three letters picked without replacement from {a: 11, g: 9}?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2069*a - 28979. Determine f(14).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161*i**2 - 363*i**2 + 305*i**2.\nAnswer: 103*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (85 + -1 + 3)\/((-3)\/(-4)). Suppose 0 = 9*h - 46 - r. Let j(s) = -s**3 + 18*s**2 + s - 15. Let v be j(h). Solve 4 = t + z + 9, -v*t + z - 3 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1028.5 - 1028. What is the nearest to 1 in 0, -4, 3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6545167.\nAnswer: 6545167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/7 + (-3)\/21. Suppose l + 4*l - 125 = q. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -96*v**2 - 4385. Let d(j) = -3*j. Give d(h(z)).\nAnswer: 288*z**2 + 13155","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -q**5\/10 + 4*q**3\/3 + 7*q. What is the second derivative of u(m) wrt m?\nAnswer: -12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j + 1972 = 2002 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-365750)\/(-7*7\/(-98)). What is f rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 + -1.3. Let t = -215\/4 - -55. Let j = 8 - 7.7. Which is the closest to 1? (a) t (b) h (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3789 + 53073\/14. Calculate the common denominator of 77\/4 and k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -219532 times 505\nAnswer: -110863660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -63, -100, -157, -240?\nAnswer: -355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1573)*-4)**2 + (-2 + sqrt(1573))*6.\nAnswer: 66*sqrt(13) + 226500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18991*w**4 + 4*w**2 - 102028*w + 2 wrt w?\nAnswer: 227892*w**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -14, 44, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/25996 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -8. Solve 5*b + 6 + j = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 16379, 65465, 147273, 261803?\n\"Answer: 16361*c**2 + 3*c + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 25*t**2 + 27*t + 56. Let r be y(23). Let x = r - -1549\/4. Factor 5\/2*a + 1\/4*a**2 + x.\nAnswer: (a + 5)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300 = -0*q - 4*q. Suppose -63 = -3*o + q. What are the prime factors of o?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -242243, -242129, -242029, -241949, -241895, -241873, -241889?\n\"Answer: -j**3 - j**2 + 124*j - 242365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**2 + 257*w + 49 - 49 + 5*w**2 - 257*w.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n - 54. Let r be f(-7). Let p be r\/3*-3 + -3. Let y = 48 - p. What is the highest common divisor of 20 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 107*w + 49307192 - 127012839. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 30 = 2*g. Suppose -5*u + 345 + g = 0. List the prime factors of u.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t\/t**0)*t*t*t**5*(t**(2\/3))**(-13) assuming t is positive.\nAnswer: t**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1415776.4 from -26.\nAnswer: 1415750.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -512185*m - 8. Let a be g(-11). Suppose 19565973 = 3*y - a. What is y rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 3*s**5\/5 - 6*s**3 - 12*s**2 - 9*s - 12\/5 = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a. Let d(m) = 381894925*m. Calculate p(d(j)).\nAnswer: -381894925*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6914871569 to the nearest integer?\nAnswer: 83156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + 1. Let l(a) = 22*a**3 + 37. Let q(h) = 2*l(h) - 4*z(h). Find the first derivative of q(v) wrt v.\nAnswer: 120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5 = z, -2*n = -1 - 3. Suppose -b + 6*b + 5 = 5*o, 0 = b. Let y be (1 - 3) + o*-3. Put z, 3, y in decreasing order.\nAnswer: 3, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/(-1))\/(-1))\/(3\/50*(-776)\/873).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -37352 divided by 14\nAnswer: -2668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -607 - -607.00000808. Round s to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -25*w + 6*w**2 + 25*w. Let c(a) = -a**2. Give c(s(y)).\nAnswer: -36*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 955 + -100?\nAnswer: 855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 26 = -0*u - 5*u, a = -5*u + 14. Let g be (u - 0) + -14 + 7. Let x(n) = -4*n + 1. What is x(g)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-12))**(1\/7)\/(u**(-1\/12))**(-29))**(-2\/81) assuming u is positive.\nAnswer: u**(347\/3402)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -35*u**5 - 4815*u**4 - 144840*u**3 - 1352540*u**2 - 1860480*u - 648000 = 0. Calculate u.\nAnswer: -100, -18, -1, -4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/9 - (-354)\/9. Let c = -45 + r. Let w(u) = -4*u - 14. What is the units digit of w(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + s + 3*s)*(-s**2 - 1 + 1)*(-71 - 71 - 537*s + 203 - 64).\nAnswer: 2148*s**4 + 12*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/16 and 79\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (200\/12)\/(38\/2736*60)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 58870.27 and 128?\nAnswer: 58742.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 16 = 66. Suppose 0 = -5*c - g + 105. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6961 divided by -16706.\nAnswer: 6961\/16706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24 - -204233312?\nAnswer: 204233233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(5\/7)\/k**(-4)*((k*k**10)\/k)\/k*k\/(k\/(k*k**(-1\/9))))**(10\/3) assuming k is positive.\nAnswer: k**(9200\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.2366434 to 1 dp.\nAnswer: -5.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-27 + 38 + -12)) + (-2 - 0 - 21)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-46394)\/12*-2 - 2\/6. Let m be o\/10 + 4\/5. Round m to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 1 + 3*f**2 + 2*f**3 + 14*f**4 - 12*f**4 as i*f**2 + n*f + q*f**3 + a*f**4 + m and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -6. Suppose 3*k = 3*u + 9, 2*k + y = 5*u + 24. Let q = u - -11. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 147.756 - -0.244. Let m = q - 147.9998795. What is m rounded to five decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -330*m - 144. What are the prime factors of a(-3)?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 314968?\nAnswer: 2, 39371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*(j**(-17)*j*j)\/j*j**(-6))\/((j\/j**(1\/2))\/j)**14 assuming j is positive.\nAnswer: j**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*1 - (3 - 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6885 and 175675365.\nAnswer: 2295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 897*a + 22939 = 4102 for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(5\/3)*x)\/(((x\/x**(-2\/7))\/x)\/x))**(-22) assuming x is positive.\nAnswer: x**(-1562\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 245670279 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**2 - 700*b - 1552. Let i(p) = -p**2 - 233*p - 522. Let o(t) = -8*i(t) + 3*z(t). Factor o(j).\nAnswer: 2*(j - 120)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*k - 32 = 46*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48330, 48385, 48470, 48585, 48730, 48905?\nAnswer: 49110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - g + 2. Let q(r) = 182973*r**2 - 91486*r**2 - 91486*r**2 + r - 2. Suppose -4*p = p. Suppose 4*v - 5*v - 6 = p. Give v*s(m) - 5*q(m).\nAnswer: m**2 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 - 30 = 11*f. Suppose q - f + 1 = 0. Let o(n) = -n. What is o(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 4*t + 23. Let g be a(-3). Let s(f) = -3 + 4 + 1 + 6 + 14*f. What is the tens digit of s(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4759*s**2 + 3*s + 4749*s**2 - 3*s.\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 + 40 = o. What is the third derivative of r**4 + 76*r**2 - 13*r**3 - 5*r**o - 2*r + 38*r**3 - 15*r**3 wrt r?\nAnswer: 24*r + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-224)\/(-14) - 10 - -2448. What is the highest common divisor of 18 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 6*c**2 + 4*c - 11. Determine i(-6).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 3.9. Let n = 0.271 + 0.029. Let y = 146 + -146. What is the nearest to y in k, n, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/151 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 3*h + 122, 4*t - h - 92 = -0*h. Let x(q) = t*q - q**2 + 0*q - 6 - 15*q. Give x(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2 = -1. Let i(a) = 12*a**3 - a**2 - 3*a - 10*a**3 + 16*a**s + 5*a. What are the prime factors of i(1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*t**2 + 6*t**3 + 54*t**2 - 95*t**2.\nAnswer: 6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000512906601 to seven decimal places.\nAnswer: 0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 0 + 0)*(5 - k - 5) + 0*k + 0*k - k**2 - k**2 + 5*k**2 - 3*k**2 + (2 + 2 + 6)*(k**2 + 3*k**2 - 5*k**2).\nAnswer: -11*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -10548056 to the nearest 100000.\nAnswer: -10500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231852 is divided by 1126.\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 548 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 987*x**3 + 49*x**4 - 987*x**3 + 5*x**3 - 5*x**3 + 2*x**4 + (-2*x**3 - 3*x + 3*x)*(-x + 4 - 4) + 4*x**4 + x**4 - 4*x**4 + 0*x**4 + 2*x**4 + x**4.\nAnswer: 57*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33.7 or 15\/8?\nAnswer: -33.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 + 0.1. Let y = 8 - -4. Let s = y - 13. Which is the nearest to -2\/3? (a) -3\/7 (b) x (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5924450 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 5*k + 20, -t + k - 2 + 6 = 0. What is the derivative of 3*q**4 + 1 + 2 - 2 - q**t wrt q?\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -71036 and -71053 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4*u - 2*z + 97, -102 = 4*u - 2*z. Let d = u + 31. Solve 2*h - 6 = -i - 4*i, 5*i = d*h + 16 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 - -26 - (-3 - -9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 2*o - 2, -g - 3*o = -0*g - 15. Which is smaller: 8\/3 or g?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 40\/(-6)*(1316\/(-35) + 4). Let o = b - 169. Let w be (66\/15)\/(4\/20). Calculate the highest common factor of o and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 160 - 159.9. Which is the second smallest value? (a) o (b) 4 (c) 7\/8 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 495670829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2901*j**2 - 11*j + 110. Let t = 465 + -455. Let y be b(t). What is y rounded to the nearest 10000?\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 5 + 575*n - 8.\nAnswer: 575*n - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(((-18)\/(-20))\/(-3)). Calculate the highest common divisor of 5 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 1\/6, 2, -2\/9, -1\/3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4227721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78*(18\/72)\/(27\/108)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.9 + -6.9. What is the closest to -0.2 in p, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ncnqottttyqooqoooq. Give prob of sequence qqoc.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2\/2 + 4353*f\/2 + 871.\nAnswer: -(f - 871)*(5*f + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sll when three letters picked without replacement from {l: 2, s: 10}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 4*y + 50. What is the greatest common divisor of y and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -2.4. Let i be (1\/2)\/(10 - 11). Let l(w) = -w. Let x be l(-1). Which is the closest to x? (a) o (b) 5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1170?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 + 23. Suppose s + x*h + 3 = 0, 0*s - 3*s + 3*h = -9. Solve z + 2*c - s = 0, 3*c = 3*z - 2*c + 19 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -725250000 to the nearest 1000000.\nAnswer: -725000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five eighths of a litre?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 6. Let c = q - 8.5. Let b = c + -0.5. Which is smaller: b or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -45205, -90412, -135619, -180826, -226033, -271240?\n\"Answer: -45207*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 208 divide 1456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -6 + 13 + -4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -996, -1023, -1052, -1083, -1116, -1151?\n\"Answer: -x**2 - 24*x - 971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-35288)\/(-56140))\/(-3*(-1)\/(-42)).\nAnswer: -44\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 276\/(-15) - 4\/(-10). What is the common denominator of 174\/(-99)*a\/8 and 26\/4*1\/(-2)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/60)\/(1\/5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12071 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7252.\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d + 3 = -12*d. Let c(j) be the first derivative of 2*j**2 - 4*j - 1. Let a be c(d). Solve a*r = -3*r - 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7 - 0 - (-4 - -7). Suppose -w + z*w = 33. Solve -2*g + g = -d + 1, -5*g = -2*d + w for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -124 - -129. Solve a*m = 1 + 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(648) + sqrt(648))\/(sqrt(36)\/sqrt(4)*2).\nAnswer: 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 5, -0.07033476, -3, 1\/4?\nAnswer: -0.07033476","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -4\/3, -0.4, 9\/4, 0.1, -4 in decreasing order.\nAnswer: 9\/4, 0.1, -0.4, -3\/4, -4\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/232 and -163\/60.\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2121 + -2105. Calculate the remainder when h is divided by (2 - -8)\/1 + 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + m - 5)*((0*m + 0*m - 2*m)*(-118 + 18 - 14) - 4*m + 3*m + 0*m)*(4*m**2 - m**2 - m**2).\nAnswer: 454*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llsslsssllllslssls. Give prob of sequence llll.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -3 (c) -79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 r, and 1 p when four letters picked without replacement from seeperprlrl?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-494)\/(-2743)) + -11?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 40?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 27449.1285 rounded to the nearest one hundred?\nAnswer: 27400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, c: 9, o: 3, r: 1, d: 2, i: 2}. What is prob of sequence cr?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -252*w + 434 + 1078 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2075)\/341 - -6 - (-3)\/((-66)\/(-4)). What is the third smallest value in -1, g, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.025, -3, -2.\nAnswer: -3, -2, -0.025","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w + 12. Let q be u(5). Let f be 2 + (q - 225\/170). Let r = f + 14\/17. What is the closest to 2 in -5, 5, r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2*h**3 - 1476*h**2 - 45840*h + 10571008 = 0.\nAnswer: -694, -112, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -282*j**3 + 2*j**2 + 2. Let h be r(2). Let w = h + 3307. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -4 (c) 4 (d) 28 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 97, 245, 483, 829?\nAnswer: 1301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 561 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*(-9 + 264\/30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by (-33)\/(7 - 18) + 6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -455657 at least as big as -455643?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 - -28. Factor -j**2 - 5*j**2 + 11*j**b.\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -21*n**4\/4 - 11*n**3\/3 - 11*n - 6. Let t(y) = -4*y**3 - 2*y**2 - 2. Suppose 2*p + 2 = -20. What is p*t(o) + 2*z(o)?\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2499451.9 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-1)*12\/8.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 10:26 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -326 + 373.65. What is a rounded to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 1040223443?\nAnswer: -1040223443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 7*a**2 - 4*a - 6. Suppose 0 = -2*v + 8 + 4. Suppose -v - 24 = -5*u. Determine l(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 46*p - 1553 + 313 = 20*p for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300387 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.647032 years to months.\nAnswer: 55.764384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 - 12. Let l be b(4). Solve -5*m - 5*k = 40, l*m + 25 = 2*m - 5*k for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 539, 1057, 1579, 2105, 2635, 3169, 3707?\n\"Answer: 2*v**2 + 512*v + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*n = 752 - 32. Calculate the least common multiple of 12 and n.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-2)*-2 - (1 - 0). Sort 2, w, 6.\nAnswer: w, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by (-308)\/66*27\/(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4781026 is divided by 2422.\nAnswer: 2420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 3*v**3\/7 - 1773*v**2\/7 + 240381*v\/7 + 6503181\/7 = 0.\nAnswer: -23, 307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 7 - 3 - 3 - u. Let z be v(3). Let q be 2\/(-5) - (-156)\/165. What is the second biggest value in q, -0.2, z?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/(-55)*4 + (-2)\/(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14373529 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 2 - (59 + -47) - -44.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -139608, -1117414, -3771460, -8939868, -17460760, -30172258, -47912484?\nAnswer: -71519560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*i - 11*i = 110. Suppose -g + 60 = i*g. Solve -6*s + 3*b - 5 = -s, -2*s = g*b - 29 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31322 - -3?\nAnswer: 31331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 1. Let l(v) = 5*v**2 + 4. What is -12*j(w) - 3*l(w)?\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 1 - 3)*(-2 + o + 2)*(-4 + 6 - 4) to the form t + i*o and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**2 - 10*c**5 + 3*c**2 + (c**3 + 3*c**3 - 5*c**3)*(-4*c + 4*c + c**2) - 2*c**5 + 2 - 2.\nAnswer: -13*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 866.\nAnswer: 2, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of 34*g**2 - 320*g - 8651. Calculate u(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.09 + 5.69. Let u = 0.1 - n. Round u to 0 dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 265\/1482 + -8\/39. What is the second smallest value in o, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 176*n - 18059. What is f(103)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**3 + 4*h**3 - 2*h**3 + (1 + 0 - 2)*(-19*h + 19*h - 39*h**3) to the form c*h**3 + u + w*h**2 + n*h and give c.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**2. Let h = 0 + 2. Let i be 8 - h - (-1)\/(-1). Let g(f) = 3*f**2 - i*f + 5*f. Calculate g(y(m)).\nAnswer: 12*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + q - 2*q + (3 - 4 + 0)*(-4*q - q + 3*q))*(-q + 0*q - 2*q) + (-2 + 0 + 1)*(-4*q**2 + 6*q**2 + 2*q**2).\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 73436359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 48448, 96823, 145198, 193573?\n\"Answer: 48375*x + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 2*i - 5, -2*u + 3*u - 16 = -5*i. Suppose p - 5*k - 24 = 0, p = 2*k + k + 16. Solve -p*d + u = -3*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/15 of a minute?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/15*2*(-165)\/88.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -0.52. What is m rounded to one dp?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y**2 + 5*y + 19. Calculate the remainder when n(-5) is divided by 30.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 424529 is divided by 2295.\nAnswer: 2249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -412, 4, -1, -5.\nAnswer: -412, -5, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 248 (b) -313 (c) 36 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 5) to base 9.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 7*t - 3*t - 52, -t = -4*m + 44. Let a be (3 + -1)\/((-2)\/206). Let l = -98 - a. What is the highest common factor of m and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28*v**4 + 1492*v**3 - 25*v**2 - 356422*v.\nAnswer: -336*v**2 + 8952*v - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -165749 in increasing order.\nAnswer: -165749, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = x + 4. Suppose -a - 3*s + 6 = 0, 3*s + 0 = 9. Put x, -20, a in descending order.\nAnswer: x, a, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*z + 31 - 31)*(z - 2*z + 2*z) to the form h + y*z**2 + u*z and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190 is divided by 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 202277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 368*f**3 + 369*f**3 + 1029*f**3.\nAnswer: 1766*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xbq when three letters picked without replacement from {x: 1, q: 5, b: 1, f: 3}.\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 7*s + 28. Let y be s + 4 - 63\/78. Which is greater: y or 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 145 divided by 74\nAnswer: 145\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 13*v - 29. Determine c(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2.388897 days?\nAnswer: 206400700.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/7*(-275)\/(-825)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9428405605 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 72*r - 82 + 1497 + 313 for r.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -15*(2 + (-3 - 0)) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**2 - 91695*b + 42814500 = 0. Calculate b.\nAnswer: -31025, 460","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 14, s: 1}. Give prob of picking 1 t and 1 s.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 251987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1288 - 1288.2. What is the nearest to -24.3 in -3, f, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 2027*p**3 + 3643*p**3 + 9 - 1611*p**3.\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of j**6\/135 - 5*j**5\/18 + 19*j**4\/6 - 17*j**3 + 48*j**2 - 4*j - 2. Factor d(w).\nAnswer: 2*(w - 16)*(w - 3)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/95860 and 77\/37126578.\nAnswer: 371265780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -2*a**4 - a**3\/3 + 48*a**2 - 2*a - 148. Find the second derivative of f(x) wrt x.\nAnswer: -48*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 14 = -2*v, 3*v - 3*x + 8*x = -12. Which is bigger: -2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12587 is divided by 300?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**5 + 4*b**5 - b**5)*(45 + 32 - 27 + (-2 - 2 + 2)*(3 + 1 - 2)).\nAnswer: 46*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 180582.58 rounded to the nearest ten thousand?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5236 (b) -2 (c) -2.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 45288 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/4*32\/(-12). Suppose 5*x + 7 = 4*z, -14 = -3*z - 4*x - x. Solve -z*p = c*p - 20 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6088 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r. Suppose g = 5*o - 21, 3*g + 5*o + 2 + 1 = 0. Let p(c) = 21*c. Let d(n) = -4*n. Let w(t) = g*p(t) - 33*d(t). What is y(w(l))?\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -v - 2*y, 0 = -4*v + 5*y - 43 - 85. Let l be (-1101)\/v + 8\/36. Factor a + l - a**3 - 41.\nAnswer: -a*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1704, 6833, 15386, 27357, 42740, 61529, 83718?\n\"Answer: -k**3 + 1718*k**2 - 18*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 22*g. Let m be f(1). Suppose -m = -2*t + 2*c + 2*c, -5*t + 71 = -2*c. Solve -7*a = -3*a + 5*j + 45, -t = 2*a + j for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 4\/3 (b) 0.2 (c) -4 (d) 5\/31792\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/(-364))\/(1\/3).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, n: 8}. Give prob of sequence nknk.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, z: 2, g: 8}. What is prob of sequence sgsg?\nAnswer: 14\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 60956 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, g: 5}. What is prob of sequence glg?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(192)*1)\/sqrt(6) + sqrt(6)\/(sqrt(27)*6))**2.\nAnswer: 5329\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of 7*f**5\/30 + f**4\/12 - f**3\/3 - 702*f**2. Determine c(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + 1.0834.\nAnswer: 1.3834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 697, 2692, 6009, 10648, 16609, 23892?\n\"Answer: 661*y**2 + 12*y + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -6359 divided by -1\nAnswer: 6359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1225) - (-1*(sqrt(1225) + -1*sqrt(1225)) + sqrt(1225) - sqrt(1225)))*-4)\/(-3*sqrt(605) - sqrt(5)*2*-4).\nAnswer: 28*sqrt(5)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14338547669 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-228)\/(-6 + 2))\/1 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, m: 1, i: 2}. Give prob of sequence pim.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 152\/608 - (-122)\/216. Which is smaller: 1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31118 > -31118?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0015159 to 4 dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8491054 is divided by 23986?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9, -2, 5?\n\"Answer: 7*w - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 10. Let d(g) = 5*g + 27. Let t be d(-6). Is ((-151)\/t)\/(w\/18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**18*u))\/u)\/u*(u\/((u\/(u*u\/u**(-17)))\/u))\/u assuming u is positive.\nAnswer: 1\/u","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148018139.\nAnswer: 148018139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.3 + -42.7. Let f = i - -46.9425. Let x = -0.082 - f. Round x to 3 dps.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 133*w**3 - w**2 + w - 1. Let y be m(1). Suppose y = 2*c + 138. Is 859\/c*(7 + -8)*3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/(-896)*16)\/((-42)\/(-16))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9926, 9939, 9952?\n\"Answer: 13*s + 9913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11743?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -1\/2*z**4 + 0 - 1\/56*z**7 + 0*z**2 - 4*z + 3\/20*z**5 + 1\/20*z**6 + 0*z**3. Let h(l) = 0. Calculate l.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 38521 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 66, 102, 136, 168, 198, 226?\nAnswer: 252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*t**3 + 29821929*t**2 - 59643826*t**2 + 29821897*t**2.\nAnswer: -9*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2, 94, -3\/2, -4693, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31 and 18171425?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3063185641 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*c - 3*l = -28*c, -5*l = 4*c - 36. Let x(w) be the first derivative of 2 + 1\/2*w**2 - w - 1\/2*w**c - 1\/3*w**3. What is x(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(60)\/sqrt(5))*1*-4 + 6*(sqrt(60)\/sqrt(5) - sqrt(30)\/(sqrt(10) + sqrt(160))).\nAnswer: 14*sqrt(3)\/5 + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - 3 - 7 + 0)*(3*g**4 + 0*g**4 - g**4).\nAnswer: -2*g**5 - 20*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 AM and 3:33 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -3. Let p be (b + (-2)\/(-6))\/((-20)\/(-180)). Solve 6*y = p*y + 15 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 11*l + 3. Let h be 3*-5*2\/(-5). Let q(t) = -5 - 3*t + 11 - 3 + 13*t. Let a(g) = h*q(g) - 5*o(g). Differentiate a(m) with respect to m.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 769392.5 nanograms?\nAnswer: 0.0007693925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 h when two letters picked without replacement from yhypy?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 24*y + 7. Let c(u) = 25*u + 4. Calculate -4*c(r) + 3*j(r).\nAnswer: -28*r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4020 - 10?\nAnswer: -4030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 + -179. Let k be (2\/(-4))\/(11\/y). Solve 5 = -m - 2*o, -22 = -2*m + k*o - 3*o for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(1\/5)*c\/(c\/c**(-2\/25)*c)*(c\/c**(2\/5))**(-3\/2) assuming c is positive.\nAnswer: c**(-89\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 24*v**2 - 40*v - 82. Let x be r(22). Solve 4*b = 2*a + x, -b - 130*a + 6 = -126*a for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.24 + 0.16. Let k = -1 + i. Let o = -6.1 - -9.1. What is the second biggest value in 4, o, k?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -7*g + 16. Let d(u) = 3*u - 8. Suppose -a - 5*y - 19 = 0, -249 = -2*y - 253. Suppose 3*k - v = k - 4, 3*v + 12 = 0. Give a*d(l) + k*z(l).\nAnswer: l + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 19a773b?\nAnswer: 19a7738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 2*w**2 + w - 3. Let m be z(2). Let o(i) = -499*i**2 + 2. Let a be o(m). Let c = -200 - a. What is c rounded to the nearest ten?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 3*v - 203, 0*o + 3*v + 77 = 2*o. Calculate the highest common divisor of o and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of t**2 - 23*t + 197. Let y(u) = 3*u. Determine i(y(a)).\nAnswer: 6*a - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 66\/3726145 and 48\/85?\nAnswer: 3726145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**3 + 505813 - 5*g**3 + 0*g**3 - 505815.\nAnswer: -7*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 19503*w**2. Let c(n) = 20*n**2. What is c(m(d))?\nAnswer: 7607340180*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -43ba + -8?\nAnswer: -43c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48085 = -315*d - 287*d + 36045 for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -98 + 489\/5. Let l(j) = j**3 - 8*j**2 + 5*j + 7. Let q be l(7). Let y(v) = -v**2 - 7*v + 1. Let p be y(q). Is t smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -234249, -234242, -234235, -234228, -234221?\n\"Answer: 7*d - 234256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of 1\/2*l**2 + 59\/3*l**3 + l - 1. Is f(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 164.3 + -163.9. What is the third biggest value in 3\/5, 4, f, -3\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -294 - -327. Suppose -s + 6*s - 620 = 5*d, -2*s + 4*d + 250 = 0. Calculate the lowest common multiple of s and b.\nAnswer: 1353","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6950119 from -15.02.\nAnswer: -6950134.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-4)*(-48)\/(-4). Let m = 220 + -199. Suppose y = -d*y + m. Solve y + 3 = -3*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10883, -12761, -15887, -20261, -25883?\nAnswer: -32753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 988 + -988. Put 0.2, x, 111 in ascending order.\nAnswer: x, 0.2, 111","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 - -12504?\nAnswer: 12520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 16*h**3 + 5*h**2 + 17*h - 33. What is the tens digit of g(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 200\/(-6)*18\/(-4). Suppose 2*q + 62 = t. Is 4 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*b**2 - 10*b**2 + 3*b**2 + (-2 - 3*b + 2)*(-3*b - b - b) + (-6*b**2 + 3*b**2 + b**2)*(-2 + 2 + 1).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -4. Suppose 3*z = -z - 2*w + 26, 0 = a*z - 5*w - 33. Let p(s) = -s**3 + 7*s**2 + s - 3. Let j be p(z). Put j, 3, -5 in ascending order.\nAnswer: -5, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - n + 36. Suppose 11 = -4*u + 63. Suppose q - 4 = -5*p + n, -4*q - 3*p = -u. Is q > 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 7*g**2 + 6*g - 1. Let t(i) = -i**2 + 5*i - 6. Let q be t(5). Let x be y(q). Let z be (-9)\/6*(-8)\/(-6). Put x, z, -4 in decreasing order.\nAnswer: x, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22982693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6935199787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*t + 5*t - t)*(56 + 3*t - 56) + t**2 + 10*t**2 + t**2 to the form n + h*t**2 + k*t and give h.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2110 (base 10) to base 11\nAnswer: 1649","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -70260 by 13.\nAnswer: -70260\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -1 - 7 + o - 6 + 33*o. List the prime factors of d(5).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79, -76, -73, -70, -67, -64?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -205.\nAnswer: -4\/205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -25259, -48357, -71453, -94547, -117639, -140729?\n\"Answer: m**2 - 23101*m - 2159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10 + -11 + 3 + (-1 - -1). Suppose -3*v**2 + 8*v**r - 45*v + 0*v**2 + 100 = 0. Calculate v.\nAnswer: 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 424935733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 396 + -667. Let f = 0.2015 - 275.7615. Let c = f - i. What is c rounded to one dp?\nAnswer: -4.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -7227*l + 110891. Determine c(15).\nAnswer: 2486","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than 3.8?\nAnswer: 8.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 771353077?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 881 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 greater than or equal to 3487?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 46 = -5*i, i + 39 = -3*i + 3*p. Let z = 13 + i. Factor 4*m**3 + 25*m**4 - 4*m - 3 + 1 - 23*m**z.\nAnswer: 2*(m - 1)*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000239968 to six decimal places.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*s + 2*d, 14 = 3*s + s + 2*d. Suppose f = 4*w - f + 42, 5*f - 15 = w. Calculate the remainder when 22 is divided by ((-32)\/20)\/(s\/w).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.1 * 146\nAnswer: 160.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -47.3847291 to the nearest integer.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8896 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -460, -493, -526, -559?\nAnswer: -592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4 = 4*k. What is the third smallest value in -3, 0.3, k?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q + 4. Let n be s(-4). Let t = 26 + -31. Put n, 4, t in descending order.\nAnswer: 4, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/112)\/(188\/43135). Let s = p + 15\/752. What is the common denominator of s and 53\/20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 4 = i. Let z be (9\/i)\/(3\/(-8)). Solve 2*k = 3*h + 5*k - z, 2*k - 7 = -3*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2394 and 1530?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from inzwb. Give prob of picking 1 w and 1 n.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 20*l**2 - 14*l + 26*l + 123 - 5*l - 6*l. Is s(23) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-10)\/(-3)*(-18)\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 48654?\nAnswer: -1\/48654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3040*h + 3124*h + 28 - 6164*h - 2*h**3.\nAnswer: -2*h**3 + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -13*x - 0*x. Calculate the remainder when -1*(-8)\/(-4)*-7 is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4340640281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 302, 312, 322, 332?\n\"Answer: 10*s + 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*-3*(-6)\/(-8)*-230*209\/(-4807)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 1. Let p be (-7)\/(-7)*38*w. Let u be p\/(-35) - (-8)\/28. Which is greater: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 253443 divided by -1\nAnswer: -253443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 9*i**3 - i**2 - i. Let t be ((-14)\/21)\/(2\/3). Give c(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -47, -53, -59, -65, -71?\n\"Answer: -6*j - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 36) + 15 + -2 - 4.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**3 + 0*z**2 - z**4 + 0*z**2 + 3 + 212*z - 211*z to the form s*z**2 + l + o*z**4 + r*z + j*z**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -22, -11, 4, 23, 46, 73?\n\"Answer: 2*n**2 + 5*n - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 97*h**2 - 704*h + 113. Determine p(8).\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 53.13 not equal to -1\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -12264120*d + 3912. Let s(m) = -15673*m + 5. Give 3912*s(u) - 5*v(u).\nAnswer: 7824*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8408 + 8480. Calculate the remainder when 1569 is divided by y.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 + -14. Calculate the remainder when 77 is divided by (3 + ((-27)\/k)\/(-9))*6.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -433 and 1278364.\nAnswer: 1277931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 279646, 559279, 838896, 1118497, 1398082?\nAnswer: 1677651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 21*o - 11*o + 17*o. Let p(u) = -87173*u**2 + 43590*u**2 + 43584*u**2. Give p(a(k)).\nAnswer: 729*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1245 (base 7) to base 12.\nAnswer: -336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3041*g**2 + 3041*g**2 + 3*g**4 + (-2 + 3*g**3 - 5*g**3 - 10*g**3)*(-8 - 10*g + 8) in the form d + s*g**2 + q*g**3 + c*g + n*g**4 and give n.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -3*q**3 - 12*q**2 - 4*q + 11. Let o(w) = -36*w**3 - 4*w**2 - w + 14*w**3 + 4 + 21*w**3. Let f(d) = 8*o(d) - 3*v(d). Calculate f(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 20033 = -7*k + 4*k, 13338 = 2*k + 5*r. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 5)*(23 - 11 + 57)*(3 - 6 + 2 + q) as t + f*q and give t.\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8735378.\nAnswer: 2, 41, 307, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/312)\/(2\/(-552))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*w - 41 = 0, -2*z - 2*w - 5 = 3. Let h be (-38)\/(-8) - z\/28. Let i(d) = 6*d + 3. Does 12 divide i(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 4:09 PM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*o + 6 - 6)*(-1 + 0 - 2*o + 4*o) + (-o + 3*o - 3*o)*(-4*o + 2*o + 3*o) to the form v + q*o + l*o**2 and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17341951 to the power of 1\/3, to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 7536*q - 767*q - 1 to k + r*q and give r.\nAnswer: 6769","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (18 + 0)\/3 - -67. Let q = b + 93. What is the remainder when q is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 1 - 2 - ((14 - 44) + 13).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-9) + 40\/(-144))*3\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25061527457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 3*a, 3*a = 4*w - w + 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 359 a factor of 68210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 19222200 rounded to the nearest ten thousand?\nAnswer: 19220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 5*n - 5. Let d be j(-5). Let k be 51\/d + 10\/(-25). Let u = k - -227\/20. Which is the biggest value? (a) 2 (b) -0.4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**2 - 2016*i\/5 - 172323\/5 = 0 for i.\nAnswer: -1401\/5, -123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -1265 and 26.\nAnswer: -1239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of j**3 + j**2\/2 - 26. Let w = -1125 - -1126. Determine h(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/9 (b) 1 (c) 0.4 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 3 + 13 - -3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/45 of a week?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 7, 1, 5.\nAnswer: -4, 1, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13056 and 2266304?\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from ooooaoooaooo?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 2:41 PM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 + -1011144?\nAnswer: -1011133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(10\/((-300)\/(-18))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a day in minutes?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 55009*f**2 + 116*f - 338. Is u(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18668, 6, 1, 3, 7, -2 in ascending order.\nAnswer: -18668, -2, 1, 3, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, 1, 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 7:52 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 170 + -6?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 2:46 PM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5192 - 12*a + 5192 + 2*a**4 - 16*a**3 + 26*a**2.\nAnswer: 2*a*(a - 6)*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66c0e (base 15) to base 7.\nAnswer: 2530343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.615 - -0.65. Let j = l - -0.855. Let t = 0.8900028 - j. What is t rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -25542 + -3?\nAnswer: -25545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 223361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 4*u + u + x, -32 = -5*u + x. Calculate the lowest common multiple of u and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**5 + 0*t**5 + 0*t**5 + (0 + 1 + 1)*(t**5 - t**5 + t**5) - 4*t**5 + 4*t**5 + 2*t**3 - 2*t**5.\nAnswer: -t**5 + 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(-5*1\/(-5)). Solve -w*y - 20 = -0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-112)\/(-252)*(-9)\/(-2). Solve l = -5*o - 3, -3*t - o + 2 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52801038119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 10*k - 95. Let j(a) = 8*a - 93. Let w(u) = 4*j(u) - 3*o(u). Let t(r) = -2*r**2. Calculate w(t(n)).\nAnswer: -4*n**2 - 87","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2484)\/432*(-8)\/6 - 8. Which is the closest to 0.044? (a) -3 (b) 3.1 (c) -2\/9 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 6) to base 11\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 9*n. Let h(a) = 5*a + 4. Let x be 60\/(-14) - 4\/(-14). Let i(c) = -4*c - 3. Let w(t) = x*i(t) - 3*h(t). Calculate q(w(b)).\nAnswer: 9*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 6*n**3 + 5*n + 5. Let k be 2\/11 - 24\/11. Let y(a) = -4*a - 3. Let w be y(k). Let s(b) = 3*b**3 + 3*b + 3. What is w*s(i) - 3*l(i)?\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 44*d**2 - 3*d - 1. Determine p(-1).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 766 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 157394 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 11, k: 2, x: 2}. What is prob of sequence kk?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.059 + 0.159. Which is the nearest to -0.3? (a) 0.4 (b) -0.5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 1378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -250 - -360. Let p = m + 104. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41 + -17. Suppose 0*x - w = -3*x. Calculate the greatest common factor of 1 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257*t - 15391 + 52483 = 867*t for t.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-20)\/40)\/((-1)\/(-10)). Is u less than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 204 and 55092?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 2*i**2 - i - 4. Suppose -2*t + 5 = -1, 5*v - t = 32. Let q(c) = 4*c**3 + 7*c**2 + 4*c + 13. What is v*x(f) + 2*q(f)?\nAnswer: f**3 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1)\/(a*a*a*a\/a**(-1)*a*a)*(a**(-1)*a)**(-1\/4))\/(a**6*a**(-3\/7))**(-37) assuming a is positive.\nAnswer: a**(1387\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -260893 divided by -6?\nAnswer: 260893\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -92 - -92.62. Let v = r - 0.464. What is v rounded to two decimal places?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 676654?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1116.2 - -5.75?\nAnswer: 1121.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -37\/43 or -2?\nAnswer: -37\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/15 of a week in minutes?\nAnswer: 4704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1011 + 10?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in ten thirds of a week?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -768, -1406, -2056, -2718, -3392?\nAnswer: -4078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 2*l - 3*f, -52*l = -22*l - 25*l + 5*f for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -27*b**5\/5 - 22*b - 39. What is the derivative of l(p) wrt p?\nAnswer: -108*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34012 - 22156. Suppose 49*q = 37*q + y. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -5. Let i(h) be the third derivative of 667*h**5\/20 + 5*h**4\/24 + 2*h**3\/3 - 17*h**2. Let f be i(v). What is f rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 222 - 145. Suppose -5*y - 94 = 16. Let n be (-2)\/4*1*y. Calculate the highest common factor of n and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/7, -4808, 8?\nAnswer: -4808","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 843 divided by 12577.\nAnswer: 843\/12577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 110\/110*4\/((-32)\/46)?\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z\/(z*(z*z\/z**(-8)*z)\/z*z))\/z)*z**(-1\/6)\/z)**(-27) assuming z is positive.\nAnswer: z**(-639\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 4db560?\nAnswer: 4db560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 9.210436ug?\nAnswer: 0.000000000009210436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15)\/6*2*-1. Suppose 0 = 4*y + j + 24, -2*y + 0*y - f*j = 12. Let m = y - -3. Let o(g) = g + 3. Give o(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 31*r**2 + 68*r + 38. What is c(-33)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s - 3*f - 279, -15474*s = -15478*s + f + 93 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*f - 76 - 75 + 43 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 17422 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = -c + 53. Suppose d = 3*d - 4. Suppose q - d*o - 2 = 3, 0 = -4*o. What is the lowest common multiple of c and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -372 + 1012. Is 30 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 7*u**2 - 9*u + 1. Is w(-8) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 487 a factor of 1192663?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 87330161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40224*w**6 + 67*w**2 + 3*w - 15.\nAnswer: -4826880*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 283070*k**2 + 5*k - 30. Let o be p(-8). Let h = o - 12016410. Round h to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1410*q**4 + 829.\nAnswer: -5640*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of j**6\/120 + 19*j**5\/60 - j**4\/6 + 35*j**3\/6 + 53*j**2. What are the prime factors of h(-19)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 4:29 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25182 by -2.\nAnswer: -12591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 88.48661445 + -0.48665345. Let o = r + -88. Round o to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -930 - -925. Which is the third smallest value? (a) 2 (b) 2\/9 (c) j (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -998? (a) 6 (b) -4 (c) -0.5 (d) 3 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2*h**5 + 692*h**4 - 62490*h**3 + 443456*h**2 + 1142440*h = 0.\nAnswer: -2, 0, 10, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -10*v + 4. Give c(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9366905?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 10) in base 9?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 divided by -2?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -1) + 4 - (3 + 12 - 6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**2 + 0*w**2 - 6*w**2 + 10*w**2.\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.66 - -4450366.321.\nAnswer: 4450367.981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of 3*y**2\/2 + 12*y + 162. Give g(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12382932\/11 + 1125724. Suppose 0 + 24\/11*d + 6\/11*d**3 + a*d**2 - 2\/11*d**4 = 0. What is d?\nAnswer: -2, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 5475078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 293, 273, 233, 167, 69, -67?\n\"Answer: -s**3 - 4*s**2 - s + 299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13534153*l**2 + 1774*l - 4518?\nAnswer: -27068306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 54 = -86. Suppose 2*z - h = -6. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4\/11*h**2 - 10\/11*h - 6\/11 = 0. What is h?\nAnswer: -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h - 5*f + 155, -258*h = -268*h - 3*f - 403 for h.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 4 = 3*u, 4*u - 2 = 4*y - u for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, -1, -0.2, -37\/15.\nAnswer: -37\/15, -1, -0.2, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*i**3 - 101*i**3 + 63*i**3.\nAnswer: -146*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6690999706 to the nearest integer?\nAnswer: 1884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 4*a**3 + 71316*a**2 + 317837580*a - 317908900 = 0?\nAnswer: -8915, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-3) - 62\/(-3). Suppose 3*f + n = 2*f + 7, -9 = -3*f + 3*n. Let h(u) = u**2 + 2*u - 27. Let d be h(f). What is the greatest common factor of s and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -155502.067 - -155384. Let v = r - -118. Let w = -0.06532 - v. Round w to four dps.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d*d\/d**7))**(1\/12) assuming d is positive.\nAnswer: d**(5\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - 0 - -6 - 2. Let m = 25898 + -25897. Solve z + m = -o for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -289 * 55.9.\nAnswer: -16155.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -568 = -4*n + 2*h, 284 = 2*n + 31*h - 29*h. Suppose 0 = 136*x - n*x + 3528. Does 25 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -24*(-4)\/6 + 2. Suppose 5*y = -12 - m. Which is the third smallest value? (a) y (b) -1 (c) 4 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 2*i**3 - 9*i - 2*i**2 + 5*i)*(-9 - 6 - 3 + (-3 - 2 + 4)*(0 + 1 + 1) + 5 + 6 - 4).\nAnswer: 26*i**3 + 26*i**2 + 13*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01657612 rounded to four dps?\nAnswer: 0.0166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v - 3*v - v + 3*v + 10. Suppose -3*d + g + 71 = 0, 8*d - 84 = 4*d - 4*g. Suppose 0 = -3*i - i + 5*l + d, -i = -5*l - 2. Give j(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 - ((4 - 11) + 19)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3046 + 3031 - 9104 + 2*f**2 + 3027.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r + 10 = 7*r. Let z be (r - 2\/(-2))\/(1\/2). Sort z, -0.6, 2 in ascending order.\nAnswer: z, -0.6, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 565 and 2425.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/2 - 163*i\/2 + 32994.\nAnswer: -(i - 188)*(i + 351)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -9*h + 364. Let a be m(47). Put a, -4, 1 in descending order.\nAnswer: 1, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 7*z. Suppose z = -4*n - 3*t - 0*t + 85, -n = 5*t - 17. What is the remainder when n is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 351.\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -15, -495, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-181275)\/169190)\/(2\/28).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 20 = -7*z. Suppose -z*v - 2*a + 19 = -0*v, 4*a - 20 = -4*v. Solve -v*m + 2*i + 14 = 0, 3*i + 6 = -m + i for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5110 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/6442 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01 + 0.18.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 14*l**2 - 15*l + 1. Let o be g(-15). Let k(q) be the first derivative of -o - 3\/4*q**2 - 1\/3*q**3 - 1\/2*q. Factor k(v).\nAnswer: -(v + 1)*(2*v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 + 12. What is the third biggest value in a, -4, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -2*q - 26 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.34779 or -63?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3230 (base 4) in base 15?\nAnswer: 10b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1196 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 20831*b + 145820. Let a be c(-7). Suppose -5 - 1 = 2*m. Sort -5, m, a, -4 in decreasing order.\nAnswer: a, m, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 24*c + 29. What is o(15)?\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -3440*g + 34399. What is a(10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -2 + 72 + (2 - -11 - 17).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f - 13. What is a(12)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -54, -108, -162, -216, -270, -324?\n\"Answer: -54*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 70 or 13794?\nAnswer: 13794","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*w - 7 - 101. Solve -2*k = -w*k + 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 28076, 56162, 84246, 112328?\n\"Answer: -d**2 + 28089*d - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 145 = 3*n - 74, -59*n + 5*v + 349 = -16 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 33 - 17. Let q be (-10)\/(-8) + -1*(-4)\/k. Is -2*(1452\/(-8) + (-1)\/q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 586847 is divided by 65204?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 3:49 AM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*q = 124*q - 2392 for q.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 91 + 125 - 35 - 17*u + 24*u. Let l be y(-25). Which is the second biggest value? (a) l (b) 5\/8 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(-9))\/(2\/(-6)). Put 0, 0.1, i in increasing order.\nAnswer: i, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 142, 327, 596, 955, 1410?\nAnswer: 1967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 7:54 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 819 or 822?\nAnswer: 819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1250 and 0.2199.\nAnswer: 274.875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/21 and 49\/3*(8\/6 + -1).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6284897 is divided by 68.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + b - 1)*(0*b + 2*b - 4*b)*(1118*b**2 - 86241 + 86241).\nAnswer: -2236*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - f + 94 = -0*n, -5*n + 2*f + 505 = 0. Let k be 22\/n + (-68)\/(-18). Suppose 5*z = -g - 0*g - 345, -3*z = -k*g + 230. Round z to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -5 + 4*c**2 - 4\/5*c**5 - 12*c - 2*c**4 + 16\/3*c**3. Factor f(o).\nAnswer: -4*(o - 1)**2*(o + 1)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 4. Let h(k) = -k + 1. Let x(c) = -2*c + 2. Let d(w) = -3*h(w) + 2*x(w). Let j be d(q). Solve 5*m - j*s - 24 = 0, -3*m + 0*s = 4*s + 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.448256 litres in millilitres?\nAnswer: 448.256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qlqqqlqqqlqllq. Give prob of sequence qlql.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-244)\/(-122))\/((-7)\/2)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*z + 8 = 17*z + 5*n, 0 = -4*n. What is the third smallest value in 4, -0.02, z, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-34)\/42 - (-7 + 57\/9). Sort 4, z, -18 in descending order.\nAnswer: 4, z, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63284278 is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3*h**2 - 2*h - 1. Suppose 0 = u - 3*p + 6, -3*u - 2*p = 2 - 6. Suppose 5*a - 4*i - 2 = 0, 3*i = -u*a + 4*a - 2. What is the units digit of g(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of 172 - 35\/3*r**2 - 29\/6*r**4 - 98\/3*r + 74\/3*r**3 + 4\/15*r**5. Determine z, given that j(z) = 0.\nAnswer: -1\/2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 668 - 638. Let o(q) = q**3 - 3*q**2 - 3*q - 4. Calculate the remainder when o(6) is divided by i.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5 = -a. Suppose -4*h + 66 = -2*f, 5*h - 87 = -4*f + 5*f. Let w(t) = 3*t - 41. Let z be w(h). Solve a*q + z = -12 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22 + 22 - 10)*(-3*b**4 + 2*b**4 + 3*b**4) + (-b**4 - b**4 + 4*b**4)*(-1 + 1 - 1) to the form d*b + f*b**4 + s*b**2 + k + n*b**3 and give f.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -3*d + 7*k - 16, -2*d - 12 = -3*k. Let o be d + (-1*15)\/3. What is the nearest to -0.1 in -0.5, -2\/7, o?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 38115 + 60?\nAnswer: 38175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 20932308 divided by -6722?\nAnswer: -3114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 629375955 divided by -7404423.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/(-6) + 3\/(-18). Let u = -42 + 37. What is the fourth smallest value in o, 1\/38, 2\/11, u?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - j + 21 = j, 4*g + 3*j = 28 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 + -3288*47\/(-1128)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.07, 2\/5, 25 in decreasing order.\nAnswer: 25, 5, 2\/5, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -38600 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - 3*f + 5. Give o(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zmzmmuzmyzkpymz. What is prob of picking 4 z?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 8, b: 2, c: 4}. What is prob of sequence dbb?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/8 + 34\/8. Suppose -2*a + w = -16. Calculate the remainder when 28 is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 975\nAnswer: -975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 10*a**2. Let b(y) = 0*y - 3*y + y + 0*y. Calculate x(b(h)).\nAnswer: 40*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-5)*(1 + -2). Let d = 223\/6 - 37. What is the third smallest value in k, d, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64723631, 129447260, 194170889, 258894518?\nAnswer: 323618147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3 - 30*f**2 + 513*f.\nAnswer: -3*f*(f - 9)*(f + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 127\/(13335\/(-5460))*(-4)\/78?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 0.02, -1.22, 0.4?\nAnswer: -1.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 4*p**4 + 3*p**3 + 3*p**2 - 4*p. Let l(y) = 7*y**4 + 5*y**3 + 5*y**2 - 7*y. Let h(a) = -3*l(a) + 5*w(a). What is the second derivative of h(v) wrt v?\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 12*f - 3*c + 32 = 0, -2*f - 2*c + 18 = 0. Let y = 4 + -3. Let j(g) = g**2 - 2*g + 1. Let x be j(y). Solve w = -5, -f*l + 6*w - w = x for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 731478520.\nAnswer: 2, 5, 18286963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -7*s**2 + 5*s - 28. Let k(u) = -4*u**2 + 3*u - 14. Let m(i) = -5*k(i) + 3*w(i). Find the first derivative of m(j) wrt j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 50\/40 - (2 + (-22)\/8). Solve 3*x + 0 = -5*w - 1, -n*x = 2*w - 2 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1444231 divided by -175?\nAnswer: -1444231\/175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k - 3 + 3)*(20 + 3 - 10).\nAnswer: -26*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2016 and 5138.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.03 + 0.13. Let p(m) = 2*m**2 + 73*m + 523. Let g be p(-27). Which is the fourth smallest value? (a) g (b) u (c) 0.5 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, z: 2, g: 1, j: 1, o: 1, k: 3}. Give prob of sequence ogzz.\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -45.58227337967 - -9.\nAnswer: -36.58227337967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 584 = -17*f + 3576. Is f >= 177?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 628, 4335, 14198, 33295, 64704, 111503?\nAnswer: 176770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 16 = 124. Suppose 14*f + 20 = v*f. What is the least common multiple of f and 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 7*m - 32, 20*h - 15*h = 4*m + 238. Which is the smallest value? (a) -7 (b) h (c) 5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*w + 2 - 2)*((-6 - 8 - 8)*(4 - 4 + 1) + 1 - 3 + 3) to the form b*w + s and give b.\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkbhbhbhbkbhh. Give prob of picking 2 b.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5138, 5139, 5140?\nAnswer: 5141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2545 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(65)*2*-3*-1)\/(sqrt(5) + sqrt(720)*-2 + sqrt(720) + sqrt(720)*-2 + sqrt(720) + sqrt(720) + sqrt(720)))**2.\nAnswer: 7488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.68771 times -2081?\nAnswer: -1431.12451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-32)\/84 - 4\/(-6). Let y = 8 - 11. Suppose 3 = -s + 2. What is the second biggest value in y, t, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 540 divide 28440180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (36\/(-162))\/((-4)\/18). Suppose 2*j - 39 = -j. Let x = -8 + j. Solve a + 9 = x*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 417 - 48. Let x(r) = 61 - 3*r - z + 63. Calculate x(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -6*z + 4*c + 45, 5*c - 9 = -z. Suppose z*a = 11*a. Suppose 119 = 4*k + 47. Solve a = 5*r - k - 7 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i + 11*i**4 + 2*i**2 + 3*i**4 - i - 3*i - 9*i**3 + 6*i**3 as d + s*i**4 + b*i + g*i**2 + m*i**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-14)\/21)\/(40\/36). Which is smaller: f or 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, h: 3, w: 2, i: 3, s: 3, y: 1}. Give prob of picking 1 w, 1 i, and 1 s.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 961287 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 12:56 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.0252 rounded to one dp?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 2002?\nAnswer: 2020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + 35. Calculate the greatest common factor of 9 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 1. Suppose -3*n - 3*r + 21 = 0, y*n - r = r + 6. Let g(o) = -o**3 + 4*o**2 + 6*o - 1. Calculate g(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/t**(-3\/4)))**(1\/4)\/(t\/t**(2\/3))**(-9) assuming t is positive.\nAnswer: t**(45\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1958, -3, 3350, 2\/17 in increasing order.\nAnswer: -3, 2\/17, 0.1958, 3350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-112)*-2 - 194163\/(-89124)?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 10*n**2 - 13*n - 9. Does 5 divide l(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 143 - -13. Let k be (-1)\/(-8) - y\/(-32). Solve k*s - 5 = 15 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -132 + 569. Suppose 5*n = 4*z + s, -n + 3*n = 5*z + 559. Let d = 220 + z. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 482 divided by -2.\nAnswer: -241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 52665793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 1279*n**2. Let t(z) = 6*z**2 - 64*z + 8. Let x(p) = -2*p**2 + 24*p - 3. Let r(k) = -3*t(k) - 8*x(k). Give r(b(o)).\nAnswer: -3271682*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 8*g**3 + g**2 - 3*g**3 - 4*g**3)*(-2*g - 3*g + 3*g).\nAnswer: -2*g**4 - 2*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.4, -0.008, 1.79, 26?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 6 = 4*z, 8*z - 3*z - 33 = -3*t. Let u = -105 - -943\/9. What is the closest to t in 0.3, 5, u?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 290883164 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1638 and 75537?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 53, 10 in decreasing order.\nAnswer: 53, 10, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*j**2 - 18*j**2 + 12*j**2.\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + o - 4. Let p be a(3). Suppose 0 = -5*f + 3108 - 3153, -b + f + 19 = 0. Solve 0 = p*v + 6 + b for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1843, -1861, -1879, -1897?\nAnswer: -1915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -25*p - 174 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.27465 less than -509?\nAnswer: -529.27465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 692?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17328870 to the power of 1\/2, to the nearest integer?\nAnswer: 4163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - s = 2, -3*s + 0*s = h + 6 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 7:36 AM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*v = 93*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72283)\/860 + 84)*(-1 - 144)?\nAnswer: 29\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/3 (b) 17335 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0201 + -202777393.\nAnswer: -202777392.9799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4183129 is divided by 98.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2514*f**5 + 32*f**4 - 64608*f**2 - 2*f?\nAnswer: 150840*f**2 + 768*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 520 and 780.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -dd + -ad8?\nAnswer: -bd7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -3 + ((sqrt(320)\/(1*sqrt(8)) - sqrt(40))\/sqrt(2))\/(1*(sqrt(176)\/sqrt(4))\/sqrt(11)))**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**2. Let u(r) = -4*r**2 + 5*r**2 + r**2 - r**2. Determine u(q(p)).\nAnswer: 4*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32 - -31.958. Let w = y + 0.052. Which is smaller: 3 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21.9 + -139.9. Let b = -117.4 - v. Let c = b + -0.8. What is the nearest to 5 in -1\/10, c, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -16. Solve -n*s + 4*l = -9, -5*l = -0*s + 3*s - 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 86*b + 525. What is d(-7)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 986, 985, 984, 983, 982, 981?\n\"Answer: -f + 987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 295 and 12?\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 4 = -4*y - 4, -4*v = -y - 2. Let s = 127 - 122. What is the closest to y in 0.2, 3, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2156 + -126 - (-4 - -28). Calculate the greatest common divisor of 590 and r.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*y + 3. Let l(f) = 0*f - 6 + 0 - y*f. Let j(m) = 2*m + 7. What is 5*j(h) + 6*l(h)?\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -847.785 plus -0.031713?\nAnswer: -847.816713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1232 is divided by 394.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 12738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/1415 - -32551\/8490. Let h be 4\/6 + 8256\/(-12303). Let j = h + -132503\/21872. Calculate the common denominator of s and j.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42 + 11 - b**3 + 11 + 16.\nAnswer: -b**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of r**4\/16 - 11*r**3\/4 + 45*r**2\/4 - 205. Let o(v) = 0. Calculate v.\nAnswer: 0, 3, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56)*-3 - sqrt(56))\/sqrt(4))\/(sqrt(448) - (-1*sqrt(448) - sqrt(448))).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6639253 rounded to the nearest ten thousand?\nAnswer: -6640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1057274587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 + -319782\nAnswer: -319781.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of -11*i**4\/24 + 6*i**2. Let n(x) = -33*x - 1. Let u(o) = 8*a(o) - 3*n(o). What is the derivative of u(l) wrt l?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 204 - 60. Let f = x - -47. Solve 4*u = -4*m + 1 + f, -u = 1 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 191541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*x - 2. Is 3 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(25) + sqrt(125)\/sqrt(5))*-1)\/((sqrt(75)\/sqrt(180))\/sqrt(3)))**2.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -6*y + 10 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 77 - 72. Suppose -5*i - 1 = 4*o - 23, -3*i + 28 = -5*o. Suppose -15 = 3*k, i*w = 2*w + 5*k + 21. Which is the third biggest value? (a) 3 (b) w (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 184237.3 * -0.081.\nAnswer: -14923.2213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178 = 3*w + 122. Let k = w - -102. Solve -4*a + 5*a = k for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-28)\/(-4))\/(-1 - -2). Let o be 1\/4 - 2224\/(-64). Let z = o - 28. What is the highest common factor of z and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -105*g - 87. Let z be y(-10). Suppose 8*n + z = 3*i + 5*n, -5*i + 4*n = -1600. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -400809 - 1579191 = -6*u. What is u rounded to the nearest ten thousand?\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-43)\/((-3784)\/16))\/2\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55280?\nAnswer: 2, 5, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 220204140?\nAnswer: 220204134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = -74*w - 17. Sort 0, w, -1, -23 in decreasing order.\nAnswer: w, 0, -1, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*3 - (-15 - -27 - 14). Let b be (-3)\/2*(-8)\/78. Do b and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q - 17. Suppose -6*m - 75 = 5*k - m, -3*m - 15 = 0. Let r be z(k). Let i(h) = -h**2 - 9*h - 1. List the prime factors of i(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 6 = -4*p, 7*u - 3*u + 5*p = 13. Let q(k) be the first derivative of -4\/3*k**3 - 3\/2*k**2 + 0*k - u. What is the second derivative of q(l) wrt l?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1442153*j**2*k**2 - 90*j**2*k + 333*j*k**2 - 2*j*k + 74*k**2 - 2*k + 17 wrt j?\nAnswer: -2884306*k**2 - 180*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + 0. Suppose -1 = j*n - 11. Suppose 2*u + 3*x = 4*x + 10, -8 = n*x. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 394290450?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4521310 (base 6) in base 8?\nAnswer: -676112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h - 4. Let v(s) = -s - 1. Let x(o) = -2*q(o) - 2*v(o). Let u be x(6). What is the common denominator of 26\/(-88)*(0 + u) and -91\/20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 9*p**4\/7 + 3174*p**3\/7 - 332193*p**2\/7 + 6014130*p\/7 + 594000 = 0?\nAnswer: -440, -2\/3, 25, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4065*u**2. Let f(v) = -7966*v. Calculate f(q(o)).\nAnswer: 32381790*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b + 1. Let g be 9\/(-6)*(-174)\/9. Let s = 39 - g. Let l(i) = -8*i - 5. Let p(w) = s*x(w) + 2*l(w). Let q(k) = 3*k**2. Calculate p(q(v)).\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of k**4\/12 - 5*k**3\/3 - k**2. Let l be b(8). Suppose 0 = -0*o - 3*o + l. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 5, -0.085, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -132.4 + 11.4. Let o = 15 + k. Let r = o + 105.999957. Round r to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 4 + 8, y + 5*a = 23. Let f be (-1)\/(3 - (-1 + y)). Let m be (-26)\/(-130)*(-2)\/(-1). Is m smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(14) + sqrt(350)) + sqrt(14) + (sqrt(154)*2 + sqrt(154))\/sqrt(11))\/((sqrt(84)*1*3)\/(sqrt(24)\/sqrt(2)*3)))**2.\nAnswer: 968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-162)\/108 - 1500\/(-1032)) + 7746\/129?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 5*n**2 + 8*n - 9. Let o be g(6). Suppose 4*i + 25 = f, -2*f - o*i = f. Sort -2, 3, f in descending order.\nAnswer: f, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 5*u - 21. Let o be t(11). Suppose 4 = 2*g, -4*n = -g + o - 6989. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*z**3 - 5*z**2 + 5*z**2)*(980*z + 25 + 31 - 56) as k*z + q*z**3 + n*z**2 + p + c*z**4 and give c.\nAnswer: 2940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 227.88837 months?\nAnswer: 1.89906975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-21) + (86\/14 - 7)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence op when two letters picked without replacement from ppopppo?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 4*o**2 - o - 5. Let x be f(-2). Solve -4*d + 2*k - 5*k - 20 = 0, -d + 5*k = x for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 plus -67811.6282?\nAnswer: -67803.6282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3155252 + -5?\nAnswer: 3155243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3*n**2. Let w(v) = -v**2 + 21*v + 5. Let z be w(21). Suppose -2 = -2*i + 6, -c - 10 = -3*i. Let l(t) = -z*t**c - 16 + 16. What is l(s(y))?\nAnswer: -45*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138720 divided by 80.\nAnswer: 1734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-158)\/(-54) - 3)\/(1\/3).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.81 * 0.1\nAnswer: -0.081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 11, x: 3, e: 1, y: 1, i: 3}. What is prob of sequence xi?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 880, 909, 960, 1039, 1152?\n\"Answer: s**3 + 5*s**2 + 7*s + 867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k - 7. Let x = 22 + -11. Let f be s(x). Let z = f - -29. Is z a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s\/(s\/(s*s\/(s**(-2\/7)*s)*s))*s))**(-3\/8))**(-17))**(-1\/3) assuming s is positive.\nAnswer: s**(34\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -38*p**2. Let i(g) = 18*g - 1. Let s(m) = 1702*m - 92. Let r(a) = -92*i(a) + s(a). Give r(y(t)).\nAnswer: -1748*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03580264 to 3 dps.\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 2, 7\/3, 1\/80?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3375 - d - 195 + 3469.\nAnswer: -d - 101","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*s - 2045*s + 165*s - 579*s.\nAnswer: -2333*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38507\/2994 - -14\/499. Let l = 599\/42 + f. Determine y so that -2\/7*y**5 + 0 - l*y**3 - 8\/7*y**4 + 0*y - 4\/7*y**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 47*p**4 + 116*p**3 - 2733*p - 5. Let r(g) = -28*g**4 - 58*g**3 + 1366*g + 3. Let j(q) = -3*i(q) - 5*r(q). Find the second derivative of j(x) wrt x.\nAnswer: -12*x**2 - 348*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70 and 175.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.37 (b) 5 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = c + 33 - 50, 2*c = -4*q + 44. Solve 0 = 3*i + 20 - c for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 + 176596?\nAnswer: 176996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from irib. What is prob of picking 1 b and 1 i?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + (-4 - -4) + 44*125. What is d rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w + 20 = 2*w. Sort -1, w, 1 in ascending order.\nAnswer: w, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3202+11770\nAnswer: 14972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, t: 2, p: 1}. What is prob of sequence ptp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ekf when three letters picked without replacement from eeeeeeefeeffeekffe?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.8259 - -5.86. What is l rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 at least as big as 147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 2:52 PM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33957738.\nAnswer: 2, 3, 17, 71, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2001 and 604647?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 81*q**2 - 69*q + 80. Let s be c(11). What is s rounded to the nearest 100?\nAnswer: 9100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 30.60297 milliseconds?\nAnswer: 30602970","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 b when two letters picked without replacement from {w: 1, u: 1, b: 1, c: 2, o: 1, g: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h**3*h)\/h)\/(h\/(h*h**(1\/11)))*h*h*h**(6\/11)*h*h**(2\/13)\/h*((h*h\/h**(-3))\/h**(-1))\/(h**0)**(-39) assuming h is positive.\nAnswer: h**(1829\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbibbbi. What is prob of sequence ib?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.59 in -1, -2, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 35872296 divided by -4?\nAnswer: -8968074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 237487120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*n**3 + 3*n - 3*n + 0*n.\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1221011111 + 0?\nAnswer: 1221011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -25*v**3 + v**2 + v. Let t be m(-1). Suppose g + 3*c + 13 = -0*c, -3*g + 5*c - t = 0. Let x = g + 17. What is the remainder when x is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**3 - 653 + 320 + 100*y**2 + 333 + 12*y as w + m*y**2 + x*y**3 + n*y and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 232 - 285. Let n = 53.1 + i. Let g = 80 + -562\/7. Which is the closest to n? (a) -1 (b) -2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16)\/(-24)*-3*2. Let d = -2.9 - -2.6. What is the smallest value in d, -5, 0.01, o?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + 6\/((-3)\/(-1)). Let d = 13 + -11. What is the third derivative of -c**2 + 2*c**3 + 2*c**d - l*c**2 + 2*c**2 wrt c?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -3*g + y + 71, -4*g + 104 = -2*y. Solve -g = -d + 6*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - u - u. Let d(k) = 7*k**2 - 2*k + 163. Is d(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (-15 - -1 - -1) + (11 - (10 - 3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 6 = 3*r, -334*r + 336*r - 11*t = -14*t - 13 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 37*t + 4. Let v(k) = 9*k + 1. Calculate 2*r(l) - 9*v(l).\nAnswer: -7*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50873549 to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3 - 313*m**2 + 3*m - 3*m**3 + 295*m**2 + 15.\nAnswer: -3*(m - 1)*(m + 1)*(m + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 13*m - 77. Give k(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*f - 7 - 5 + 6 + 6.\nAnswer: -41*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 606052555?\nAnswer: 606052560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 6 + 3*s**3 + 4 + 79*s**2 - 28*s**2 - 4*s**3 in the form n*s**2 + c*s + f*s**3 + x and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*(2*z - z - 1 + 0*z)*(-77 + 16*z + 77).\nAnswer: 32*z**2 - 32*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 40\/(-12)*12\/10 - -2. Is 53 a factor of ((-6)\/(-15))\/g - 23364\/(-220)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84364 divided by -6026.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 77*p**2 + 33*p - 427. Is a(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/(-4) - 42\/(-18). Is 3.6 less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/9)\/(b*(b\/(b\/b**4*b))\/b))\/(b**(-2\/9)\/b**(-4\/5)))\/(b**(1\/2)\/b**(2\/21)*(b*b**(-1\/3)*b)**(1\/5)) assuming b is positive.\nAnswer: b**(-953\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 91 = 5*l, 4*l - l - 5*b - 52 = 0. Solve -2*g = 3*n + l, -3*n = -g - n + 1 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(175) + 3 + -3 + sqrt(175))*-6 + -2 + -3)*2)**2.\nAnswer: 9600*sqrt(7) + 1612900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -1210*i - 2. Let w(z) = 6053*z + 10. What is 11*q(f) + 2*w(f)?\nAnswer: -1204*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3089 - 3084. Let m(r) = 2*r**2 + 8*r + 2. Let s(i) = 2*i**2 + 7*i + 2. Give x*m(z) - 6*s(z).\nAnswer: -2*z**2 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of -f**7\/126 - f**4\/24 - 14*f**3\/3 + 6*f**2 - 1. Let z(m) be the second derivative of x(m). Let u(y) = 3*y. Determine u(z(p)).\nAnswer: -60*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 + -17. Round y to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-4) + (-234)\/(-12). Let v = -17 + g. Solve -l + v*j = -0*l + 13, -l + 11 = 3*j for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + 0. Suppose -2*f = -p + u, -4*p + 20 = -5*f + 3*f. Suppose 5 = 5*o - p. Solve 2*j = -2*x + j, 1 = -3*x - o*j for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -5*a - 88. Let z be h(-18). Suppose -5*d + 62 = -2*j + j, -2*j + 6 = 0. What is the third derivative of -6*c - 14*c**4 + 12*c + d*c**z - 6*c wrt c?\nAnswer: -336*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i = -18*i - 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 4317?\nAnswer: 4314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208449037.\nAnswer: 127, 601, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -z - 15, -d = -2*z - 3*z + 3. Let r = 8 - z. Solve r = 4*g - 0*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, -67\/47, 4, 1 in descending order.\nAnswer: 4, 3\/2, 1, -67\/47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2289667613 a multiple of 2175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33 and 3597?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-41)*m)**(-49)*(m**(-13))**(1\/3) assuming m is positive.\nAnswer: m**(5720\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 15*a**3 + 9*a**2 - 6*a - 8. Let n(u) = 33*u**3 + 20*u**2 - 11*u - 18. What is 4*n(r) - 9*w(r)?\nAnswer: -3*r**3 - r**2 + 10*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77538 is divided by 852.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -34 (base 7) to base 12\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = n + 3*o, 52 = -4*n - 5*o + 235. Suppose -l + 3 = 4*t - 3, 5*t + n = 3*l. Sort -6, l, 2 in descending order.\nAnswer: l, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kyyyyyyyyyyykyyyyyy. What is prob of sequence yyy?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000071932534 rounded to 6 decimal places?\nAnswer: 0.000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 3*j - 6 = -4*m, -2*m = j - 8. Let f(c) be the second derivative of 0 + c + 0*c**2 - 2\/3*c**m. Let i(g) = 2*g. Give i(f(z)).\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 1372 = 4*p + 2*d, -p + 5*d = -1351. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 12*m - 13. Let f be (1 + 0)\/(12\/15 - 1). Let n(a) = -a**2 - 18*a + 19. Let z(s) = f*n(s) - 7*h(s). Find v, given that z(v) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/sqrt(7)*-4 + sqrt(5) - sqrt(5))**2*-4 - 2*sqrt(80)*-1.\nAnswer: -320 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 38*h**2 - h - 3. Let a be t(4). Let o = a + -427. Is o a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2507 and 7199?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 3 - 3*p**3 - 1 to the form c + i*p + v*p**3 + l*p**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 48.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9377637 to the power of 1\/2, to the nearest integer?\nAnswer: 3062","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 7*n + 74. Let b be w(-6). Suppose 15 = -m + b. Is 3 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3043 - -5501?\nAnswer: 12544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1416166*q**5 - 1042488*q**2?\nAnswer: 84969960*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2 = -3. Suppose -d + r = 6, -5*q = 2*d + 135. List the prime factors of (14\/(-10) + 1)*q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4752 + 52?\nAnswer: -4700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 6*u**2 - 19*u**2. Let g(a) = 2*a. Calculate o(g(i)).\nAnswer: -104*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -1. Let a(d) = -172*d**2 + 2*d + 405. Let m(x) = a(x) - v(x). What is the first derivative of m(o) wrt o?\nAnswer: -344*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1330201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 3*m - 29631. Suppose -4*s = -3*h - m, -1205 - 1967 = -3*s + 5*h. What is the hundreds digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + l + 3 = 0, -l + 3*l + 6 = -2*d. Suppose 4*t + o - 45 = d, -t + 0*o = 4*o. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 235 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*5*(0 + 1*(-2*sqrt(847) + sqrt(847))*5) + 2)**2.\nAnswer: 5500*sqrt(7) + 13234379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + -1 - (5 - 4). Is -1\/2307 <= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 18*c**4 + 489*c**3 + 1374*c**2 + 135*c - 216 = 0.\nAnswer: -24, -3, -1\/2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/1067 and 2\/306801.\nAnswer: 29759697","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -21. What is the remainder when s is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -839, -1397, -1735, -1829, -1655, -1189, -407, 715?\nAnswer: 2201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 272 divided by -4.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + 49\/7 - (-7 + 2). Which is smaller: x or 550\/69?\nAnswer: 550\/69","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -223*r**4 + 165*r**4 + 2871*r**2 + 117*r**5 + 61*r**4 + 382*r**5 wrt r.\nAnswer: 29940*r**2 + 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = 17 + 7. Sort 3, x, 1 in descending order.\nAnswer: x, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q = 20*q - 25092. What is the greatest common divisor of 36 and q?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 12*p + 51. Let w(r) = 3*r + 13. Let x(c) = 2*l(c) - 9*w(c). List the prime factors of x(-10).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39\/(-26))\/((-9)\/(-12)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-eight fifths of a millennium?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - l. Let x(i) = 2*i**2 + 3*i - 2. Suppose -5*h + 5*f = 15, 0*f - 8 = -4*h - f. Determine h*x(n) + q(n).\nAnswer: n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111116527 is divided by 11018?\nAnswer: 11015","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4152*l - 4154*l - 9 + 33)*(-4*l - l - l)*(2*l**2 + 5*l - 5*l).\nAnswer: 24*l**4 - 288*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5752501t to kilograms.\nAnswer: 575.2501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 - 0.7. Let w = 479.4 + -478.9. Put 1, w, c, 0.2 in decreasing order.\nAnswer: 1, w, 0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, l: 1, z: 1, f: 2, e: 1}. Give prob of picking 1 j and 1 e.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 150 - (45 - -1 - (-760 + 761))?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 13761, -25 in decreasing order.\nAnswer: 13761, -25, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 12*h = 4*h. Let x(p) = -13 + p - p**2 + 12 + 5*p. Let c be x(5). What is the nearest to -0.1 in h, -0.1, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 20 = 0, u - l + 29 = 428. Calculate the remainder when u is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9481.\nAnswer: 19, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n**2 - 5*n**2 - 59893*n - 2*n**2 + 2 + 1.\nAnswer: -3*n**2 - 59893*n + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -999*n**2 + 2989.\nAnswer: -1998*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*u**3 + 23*u**2 - 17*u**2 - 126*u**3 - 655.\nAnswer: -9*u**3 + 6*u**2 - 655","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1280623?\nAnswer: 1280623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 193.21 + 6.89. Let o = y - 201.423. Round o to two decimal places.\nAnswer: -1.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - w**2 + w - 2. Let v be i(-3). Let x = 18 - v. Let p = x - 2. Solve 0 = -y + 5*c + 13, 0 = 4*y - p*c - 25 + 7 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 10.2. Let h = 1 - k. Let p = 0.01 + -0.01. Sort p, h, 0.5.\nAnswer: p, h, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1174930, 4699628, 10574096, 18798334?\nAnswer: 29372342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51 by 41914.\nAnswer: 51\/41914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61134315?\nAnswer: 3, 5, 11, 370511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 101211000?\nAnswer: -101211010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -283 and -1.515.\nAnswer: 428.745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15518904893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 461*h - 452*h = 90. Calculate the highest common factor of 890 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i\/i**(-2\/11)))\/i*i*i**(-4)*i*i)\/(i**5*i**(-3\/5))*(i*i**1*i*i*i**(-4))**(4\/3) assuming i is positive.\nAnswer: i**(-307\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 26\/15 - 108\/81 - 992\/(-20). Solve 0 = -5*z + m - 11, 2*m - q + 46 = 4*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**4\/b)**(5\/4)\/((b**(4\/17)*b)\/b**(3\/8)))**(-8\/19) assuming b is positive.\nAnswer: b**(-393\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -23\/24324 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = 2*o. Suppose o = -3*s + 156 - 150. Suppose s*x = -3*x + 825. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 16*s - 221. What is i(14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 2:12 AM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 170 and 36.\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1577 + 1575 - 3152 + 32*a**2 - 4*a to l*a**2 + q*a + s and give l.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 50, 145, 330, 635, 1090?\nAnswer: 1725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 5 (b) -5 (c) -391887\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, t: 3, r: 6}. What is prob of picking 3 w?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 7. Solve -w*y - 4 = -5*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(6\/7)*y*y)\/y*(y*((y**(5\/3)*y)\/y)\/y)\/y)\/(y**(-4\/7))**23 assuming y is positive.\nAnswer: y**(50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -193 * -0.2\nAnswer: 38.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -65 - -cc?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*z - 46*z + 8*z + 408 = 0. Solve 6*k - 3*k = -z*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3991159109?\nAnswer: 7, 757, 753191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 73 = -79 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 2913882395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 2 = -a, -4 = 211*a - 209*a - 2*d for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of s**6\/60 + 4*s**5\/15 - s**4\/24 - 4*s**3\/3 + 21*s**2. Let x be y(-8). Put -1, x, 1 in ascending order.\nAnswer: -1, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31658 + -22353. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 1\/9 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7}. What is prob of sequence vvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 2*t = -2*m, 0 = 3*m - t - 10. Let x = -6\/1013 + -2991\/8104. Which is the fourth biggest value? (a) x (b) 3\/2 (c) 1 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.5, 0.05, 0.1.\nAnswer: -0.5, 0, 0.05, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1071\/4 (b) -0.1 (c) 1\/9 (d) 5 (e) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/54*-6)\/(184\/(-966))?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185414 is divided by 88807?\nAnswer: 7800","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 414784.805 to the nearest 10.\nAnswer: 414780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8213860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uogo when four letters picked without replacement from oxxeboxueexgbeoeeoxo.\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 5*x**2 - 13*x + 11. Let o be a(7). What is the highest common divisor of o and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of z**2 + 989847*z - 781470 wrt z.\nAnswer: 2*z + 989847","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h\/((h*(h*h**(2\/7))\/h*h)\/h*h)))**(-10\/9)*((h*h\/(h\/(h**1*h)))\/h)**(13\/2))\/((h*h**(-3\/2)\/h*h)**11)**(-14) assuming h is positive.\nAnswer: h**(-4262\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p - 2*p - 14*p**3 + 25*p**3 - 2*p.\nAnswer: 11*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -a60?\nAnswer: -a5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 20211112121?\nAnswer: -20211112112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 936.687 centuries to months.\nAnswer: 1124024.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 9:28 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210 = 5*s - 5*n, 102 = 2*s + 6*n - 2*n. Calculate the highest common divisor of 5 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -210276 and -3.\nAnswer: 630828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w + 4*w**2 + 7*w**3 - 4*w**2 + 20 - 3*w**2 - 15*w. Let f(j) = -2*j**3 + j**2 + 4*j - 7. Let d(u) = 8*f(u) + 3*h(u). Is d(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**2. Let t(a) = -7*a**2 + 9*a + 9. Let m(z) = -3*z**2 + 4*z + 4. Suppose 25*j - 9 = 24*j. Let k(y) = j*m(y) - 4*t(y). Give k(d(w)).\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -3*d**2\/7 + 98772*d\/7 - 2986047 = 0.\nAnswer: 213, 32711","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 2\/15, -7\/29, 7, 2 in descending order.\nAnswer: 14, 7, 2, 2\/15, -7\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1328, -1316, -1304?\nAnswer: -1292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5689808 by 16.\nAnswer: -355613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 120*z + 1333*z + 6 + z**3 - 10 + 7 in the form r*z**3 + s + u*z**2 + c*z and give c.\nAnswer: 1453","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1551519.94441 - 1552539.94441693. Let t = -1020 - c. What is t rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 275 and 22000?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 1:17 AM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -421286*b**2 + 806191*b wrt b.\nAnswer: -842572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 71127435 to the power of 1\/2, to the nearest integer?\nAnswer: 8434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a microgram in nanograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2492\/25 or -99?\nAnswer: -2492\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7810.\nAnswer: 2, 5, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 + -0.4. Let z(c) = -c**3 - 6*c**2 - c - 7. Let n be ((-12)\/10)\/((-1)\/(-5)). Let b be z(n). Sort 0.5, r, b in descending order.\nAnswer: 0.5, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 21123?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f + 1. Let u = 53 + -47. Suppose u*g - 4*g = -18. Let h be n(g). Solve h*d = 5*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 313 - 210. What is the remainder when u is divided by (-42)\/((-2)\/(-1) + -4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 448aa8?\nAnswer: 448ab0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 167 - -42. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3738 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*q - 5*i - 27 = -62, -99 = q - 3*i - 78 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 10. Let y(z) = 0*z - 2*z - 47 + 3*z + 48. Let j(p) = 6*p + 6. Give x*j(b) + 16*y(b).\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 1.04. Let j = 16 + -17. What is the biggest value in b, 4, j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k. Let u(y) = -14*y - 1. Determine -24*n(s) + 3*u(s).\nAnswer: 6*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 798 - 186. Let s = u - -1225. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a - 23 + 15 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**4\/5 + 6452*j**3 + 69047688*j**2\/5 + 3175822192*j - 32034670816\/5 = 0. Calculate j.\nAnswer: -3902, -263, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/10 of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(13) - (sqrt(13) + -1*sqrt(13))) - sqrt(13))**2 + (1*(0 + sqrt(13) - sqrt(13)))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -487914766, -975829533, -1463744300, -1951659067?\nAnswer: -2439573834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -513 + 527. Solve h = -11 + n for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/2*(-40)\/20\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 - (61 - -7) - (-2 + 2 - 9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 622873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3540 = 150*z + 5760 for z.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-nine fifths of a decade?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-66)\/4*(-16)\/6. Let k(w) = -2456*w - 19208. Let g be k(-8). Calculate the highest common divisor of r and g.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -18. Solve 2*u - 6*u = -q for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*t = -11196 + 796794. What is the ten thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u + 4. Let r(h) = h**3 - 2*h**2 - h + 2. Let b be r(2). Suppose b = q + 25 - 21. Let o be w(q). What is the highest common divisor of o and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 2*k + y + 221 = 0, -2*y = -5*k + 280. What is the remainder when k is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 336 = -2*s + 9*b, -5*s + 32 = 2*b - 27 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200*w - 725*w + 184*w + 160*w + 178*w.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -27*o**2 - 758*o + 4. Let x(n) = 5*n**2 + 152*n - 1. Give -2*f(d) - 11*x(d).\nAnswer: -d**2 - 156*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-979 - (-11 + 9))*-4.\nAnswer: 2, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 726919913.\nAnswer: 6311, 115183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 + (15 + -21 - 36).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 5*y - 14, -4*y - 6*k + k = -19. Suppose -4*p + 2*h + 82 = 4*h, 3*p - 5*h = 68. Solve 0 = -5*w - p + y for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**3 - v**2 + 31*v + 20. Let r(l) = -3*l**3 - l**2 + 46*l + 30. Let c(h) = 8*f(h) - 5*r(h). Calculate the remainder when 16 is divided by c(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/861 and -52\/81057.\nAnswer: 567399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 569 and 22798844.\nAnswer: 22799413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 109 - 29. What is the remainder when i is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -7.9. Suppose 0 = 2*y + 36 - 0. Let f be 3\/y + (-2)\/(-4). Which is the nearest to n? (a) 3 (b) f (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 4*d - 195, 3*i + 2*d = 6*d + 617. Let b = i + -120. Is b a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 48708?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28.7 - 15.\nAnswer: 13.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 117806629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(832) + 1)**2*3 - ((-2 + sqrt(1053) + sqrt(1053) + 1*sqrt(1053) + sqrt(1053) + sqrt(1053))**2 - (2*sqrt(1053) + 3)).\nAnswer: -23828 + 246*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 266866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/45 and 67\/2589.\nAnswer: 38835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -119453658.6 to the nearest 100000.\nAnswer: -119500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -88*x - 18146. Calculate l(-206).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 4*c**2 + 2*c + 2. Suppose 5*w = -2*u + 21, -5*u - 6*w + 30 = -w. Suppose -5*n - u = 17. What is z(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179698 is divided by 1191?\nAnswer: 1048","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12 minus 380?\nAnswer: -379.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 170*j**2 + 4. Let m(q) = -168*q**2 - 7. Give 4*i(z) + 3*m(z).\nAnswer: 176*z**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 (base 7) in base 12?\nAnswer: 1b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 2 + 2)*(-2*m**3 + m**3 + 2*m**3) + (-m**2 - 3*m**2 + 5*m**2)*(2*m**2 - 3*m**2 - m**2).\nAnswer: -3*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(68) - (sqrt(68)*2 - sqrt(68))**2)*-1 - 1*((sqrt(1377) - 1*sqrt(1377)) + sqrt(1377))*6.\nAnswer: -66*sqrt(17) + 408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w**(-1\/8)\/w)*w**(2\/85)*w assuming w is positive.\nAnswer: w**(2141\/680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((168\/7)\/12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55964 and 85154164?\nAnswer: 3292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -44.317 rounded to 1 dp?\nAnswer: -44.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -5*p**2 - 2*p - 1. Calculate f(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3101 + -1743. Suppose -2*x - 2*f + w = 174, -2*x + 1181 = -f. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 - -79\/3. Let z = 0.46 - 0.06. Let v = z + 0. What is the closest to v in q, -1\/5, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19.56590008 - 19.566. What is l rounded to 5 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3669?\nAnswer: 3, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1171, -2341, -3513, -4687, -5863, -7041?\n\"Answer: -d**2 - 1167*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29293 and 6644?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mkkokkkodmkk. What is prob of sequence omm?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 4:09 AM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(27)*-3)\/sqrt(9) - ((sqrt(3)*2*-6)**2 + (sqrt(21)*1)\/sqrt(7)).\nAnswer: -432 + 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 76\/7*p**2 - 288\/7 - 232\/7*p = 0. Calculate p.\nAnswer: -18\/19, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + c - 4 = 0, 2*p - 1 = c + 1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 1:39 AM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 84\/(-63)*(-3 - 0). Suppose 4*n = -12, w + 11 = 5*n + 28. Put -3, w, b in decreasing order.\nAnswer: b, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31851 = 5*w - x, -5*x - 13470 + 45345 = 5*w. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + -1 + 0\/(-2). Let w be -3*i\/2*-10. Suppose w = 4*u - u. What is the remainder when 8 is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41 + 16. Let p be 15\/i - 13\/(-5). Suppose p*b - 3*k = 7, -b + 15 = 2*k + 1. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.618 rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f\/(f\/(f**2*f)))\/(f\/((f**0*f)\/f)))**(-9))**(-12) assuming f is positive.\nAnswer: f**324","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of k**4\/16 + 15*k**3\/8 - 231*k**2\/4 + 2287*k. Determine a, given that q(a) = 0.\nAnswer: -22, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -7. Suppose k = -5*v + n*k + 7, -9 = 3*k. Let x(s) be the second derivative of s**5\/4 - 3*s. What is x(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 110 = -4*c, -c + 5*c + 38 = p. What is the highest common divisor of p and 333?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19981?\nAnswer: 13, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = g. Let k(j) be the second derivative of 1\/70*j**5 + 1\/42*j**4 - 1\/7*j**2 - 1\/21*j**3 + 2*j + g. Factor k(m).\nAnswer: 2*(m - 1)*(m + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1863 and 27?\nAnswer: 1863","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 70\/9 (b) -0.1 (c) 4 (d) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 95 and 23845.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of b**6\/2340 + b**5\/195 + b**4\/39 - b**3\/3 + 4*b**2. Let z(d) be the first derivative of u(d). Determine w so that z(w) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1579, 4311, 8865, 15241?\nAnswer: 23439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, 3\/5, -3\/4, 1021, 1181, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vxxvlbma. Give prob of sequence vmlv.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85548, 171147, 256744, 342339, 427932, 513523?\nAnswer: 599112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 10*p**2 - 13*p - 6. Let b(a) = 3*a**2 - 4*a - 2. Let r(v) = -7*b(v) + 2*l(v). Let y(g) = 7466 - 7466 - g. Calculate -r(t) - 4*y(t).\nAnswer: t**2 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -367*u + 363*u - 3*n = 10, -3*u - 14 = -n for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -754 divided by 377\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 19935155.7 seconds?\nAnswer: 230.73096875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20413.\nAnswer: 137, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*r - 2414 = 990. Which is greater: -70 or r?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 216*o**2 - 1 - 1 + 184*o**2 + 181*o**2 + 1172*o**3 - 581*o**2.\nAnswer: 1172*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 274363447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 159, 304, 449, 594, 739?\n\"Answer: 145*b + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2560 or 316?\nAnswer: -2560","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 3*s + 7. What are the prime factors of x(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 41 - 15 + 2*u + 7*u**2 - 13 - 16 in the form b*u + o*u**2 + h and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -81290 divided by -5?\nAnswer: 16258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5312874ng to milligrams.\nAnswer: 0.0000005312874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/10*(-8 + 3). Let q(n) = 5*n**3 - 5*n**2 - 2. Let b = -97 + 112. Let f be (-3)\/b + 112\/35. Let k(r) = 4*r**3 - 4*r**2 - 2. Determine f*k(z) + h*q(z).\nAnswer: 2*z**3 - 2*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4356 a multiple of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 5*z - 4*z. Solve z - 3\/5*l**3 - 6\/5*l + 9\/5*l**2 = 0 for l.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.13*23\nAnswer: -2.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*v - 0*v + 4*d, -2*v + 13 = -d. Suppose -v*l = -24*l + 251632. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-20 + 13 - 5 - 10*t)*(t**3 + t**3 - 3*t**3) to the form k + a*t**4 + y*t**3 + w*t + g*t**2 and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x**3 + 24*x**2 + 17*x + 3. Let r(w) = w**3 - 13*w**2 - 9*w - 1. Let n(h) = 4*a(h) + 7*r(h). Is 5 a factor of n(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.1552 - -0.0452. Round f to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of f**5\/60 - f**4\/6 + f**3\/3 - 4*f**2. Let c be b(2). Calculate the common denominator of -16\/9 and (434\/21)\/c*(-6)\/(-8).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t**2 + 321374*t - 3 + 3 + 2*t**2 - 321351*t. Let u(i) = -i**2. Give a(u(l)).\nAnswer: -l**4 - 23*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004894 rounded to six decimal places?\nAnswer: 0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1664 and 2048?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -147 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000111950309 rounded to seven dps?\nAnswer: -0.0000112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-205)\/(-3116)*-19)\/(2\/(-48)*-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 54 - 3fc1d9?\nAnswer: -3fc185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 47, -0.5, 10?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-18)*24\/(-60).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45852625 is divided by 99248.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1230410509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -21, -61, -139, -273, -481, -781, -1191?\n\"Answer: -3*i**3 - i**2 - 16*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2213211 (base 4) to base 10.\nAnswer: -10725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of d**7\/420 - d**6\/12 + 83*d**5\/120 - 31*d**4\/12 + 5*d**3 + 1178*d**2. Determine n, given that y(n) = 0.\nAnswer: 1, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13\/41? (a) 5 (b) -1\/3 (c) 0.049\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -413, -424, -443, -470?\n\"Answer: -4*g**2 + g - 410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/206996200 and -119\/41399240?\nAnswer: 206996200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/9 - (-43)\/9. Suppose -u*b = -y - 13, y + b = -3*b + 14. Solve 0 = -3*x - y*x - 25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 6151.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 209028*d**2 + 114417*d**2 + 300873*d**2.\nAnswer: 624318*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -881\/1497028?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*q + 6*q + 25, 0 = -2*d + 6*q + 791312. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (85 + 68 + 37 + 32)*((0*x + x**3 + 0*x)*(x - x + x) + 2*x**4 - 2*x**2 + 2*x**2 + 0*x**4 + 5*x**4 - 3*x**4).\nAnswer: 1110*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssssssffss. What is prob of sequence sfss?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qyqy when four letters picked without replacement from {y: 9, q: 7}.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3658711909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3792496 (base 10) to base 13\nAnswer: a2a2a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16239 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 413 and 649?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4\/2 - 55*s**3\/2 + 171*s**2\/2 - 173*s\/2 + 29.\nAnswer: -(s - 1)**3*(s + 58)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2 and 7598000?\nAnswer: 7598000.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -191\/35574 and -59\/18670421.\nAnswer: 112022526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 - -3 - 10\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + a = 48. Let j(s) = 7*s - 9*s + a*s + 13*s - 1. Is 13 a factor of j(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 + 0. Suppose 8*i + z = 4*i - 3*p, i + 16 = -3*p. Let a = 50 - 353\/7. Which is smaller: a or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - z - 1 + (5 - 5 - 2*z + (z + z + 0*z)*(-2 + 0 + 0) + (-5 - 5 + 14)*(-59 + 59 - 15*z))*(-1 - 2 + 0))*(-2 + 4 - 3).\nAnswer: -197*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 - -37. Suppose -l + 2 = -o. Suppose -5*v + 115266 = -5*p - 51709, o*p = -5*v + 167020. What is v rounded to the nearest one thousand?\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198868.\nAnswer: 2, 83, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 421472 and 56?\nAnswer: 2950304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of m**3\/3 - 9*m**2 + 57*m - 25. Is 60 a factor of g(27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -342*c**4 - 348*c**2 - c?\nAnswer: -8208*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 20 = k + 28, -2*k + 5*f - 17 = 0 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 4\/3 (b) 1223 (c) 4\/9 (d) -2 (e) 0.2 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27) + sqrt(81)\/sqrt(3) + 4.\nAnswer: 4 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-68) + 66\/17. Suppose g + 15 = -d*g - l, -5*l - 17 = -4*g. Let h(r) = 2. Let a(z) = z + 8. Determine g*a(o) + 9*h(o).\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5 = 3*s, -s - 4*c = -0*s - 19. Let d be -2 + 1*(-1 - -2). Let w = s + d. Solve f = -w - 1 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1515552?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -4*x**2 - 131*x - 790. Give c(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence laa when three letters picked without replacement from laal?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, l: 3, o: 3}. Give prob of sequence wwo.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 448 + -447. Which is the second biggest value? (a) 2.87 (b) n (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 m, and 2 d when four letters picked without replacement from {f: 6, d: 2, a: 5, u: 1, z: 2, m: 3}.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -75 bigger than -76?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46 - -54. Let p = 1.4 + v. Let g = p + -9.5. Sort g, -2, 4, -0.04 in increasing order.\nAnswer: -2, g, -0.04, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -15047322*u. Let b(w) = -10*w**2. Calculate p(b(k)).\nAnswer: 150473220*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208) - (sqrt(208) - (-1 + sqrt(208) + -1))) + sqrt(208))**2 + -2 + 5 + ((sqrt(468) + -2 - sqrt(468)) + 0 - ((0 + sqrt(468))*4 + sqrt(468))).\nAnswer: -62*sqrt(13) + 837","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzszszzzzzzszzzz. What is prob of picking 3 z?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, r: 1, f: 3, b: 5, k: 1, t: 1}. What is prob of picking 1 p, 1 f, and 1 r?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 995608 < 995606?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 4*z + 16. Let m be y(-4). Suppose m = -2*i - 3 + 7. Let g be ((-15)\/(-25))\/((-1)\/(-5)). Solve -s + i*s + g = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 13*i. Let w(m) = 1. What is -l(y) - 2*w(y)?\nAnswer: -13*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 60 + -48. Let n = 3 + 1. Solve 8*v + 2*w - 26 = n*v, 0 = 4*w - s for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 660765\/8 - 82592. Find the common denominator of (-74)\/(-132) + -3 + 1 and b.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 508799094?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55 divided by 17.\nAnswer: -55\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*q**2 + 9*q + 12*q**2 + 9*q**2 - 44*q wrt q?\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1043270 or 1043267?\nAnswer: 1043267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 446598477?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.078679513 to 3 dps.\nAnswer: -0.079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 p when two letters picked without replacement from pwppbwoggwg.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 6:56 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 138732 and 108253.\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d**2 + 23*d - 26. Let x be o(-10). Calculate the highest common divisor of x and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 58536 and 65040?\nAnswer: 585360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -10*g + 91. Let q be h(9). Let z = 10 + -14. Let t = -2 - z. Which is the nearest to q? (a) t (b) -2\/5 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 10*c**2 - 34*c - 56. Let k be p(-6). Solve 2*o + 5*a - 12 = 0, -k = -2*o - 4*a + 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 164 = 5*s - 20, -2*s + 84 = y. Suppose -6*b + 16*b = s. Find the third derivative of 13*p**2 - 8*p**6 + 279*p**4 - 7*p**6 - 279*p**b wrt p.\nAnswer: -1800*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -85, 1\/3, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-312)\/195 + (-254)\/32\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1034378*w*x**4 - w*x**3 - 6*w*x**2 + 154*w - x**5 + 18 wrt x.\nAnswer: -24825072*w*x - 6*w - 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-10))\/((-452)\/(-339))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 12*l**3 - 27*l**2 - 25*l + 3. Let g(w) = 8*w**3 - 19*w**2 - 17*w + 2. Calculate 7*g(n) - 5*p(n).\nAnswer: -4*n**3 + 2*n**2 + 6*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/2)\/((-3)\/(-4)). Let n = 11 - 13. Let j be 1*(n - 0)*2\/10. Which is the nearest to 0? (a) j (b) -0.1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -201*f + 107. Let n be o(3). What is the common denominator of (-120)\/48 + (-1396)\/n and -53\/8?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 - -64. Let n = -477 - -479. Suppose l = 4*m + 3*f - 165, -n*m = f - 104. What is the highest common factor of 10 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -47*b**2*g - 30*b**2*o**2 - g*o**2 + 34*g*o + 1046 wrt o.\nAnswer: -60*b**2*o - 2*g*o + 34*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*j + 309 = 40*j - 33 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -105.\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(16\/(-104) + 332\/(-208)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0.2, 4\/7, 4.3?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-7)*u\/(u**2\/u)*u)\/(u**(-1\/2)*u*u*u*u**(-6)*u*u))\/((u\/(u*u*(u**2\/u)\/u))**(5\/6)*u**(1\/9)*u*u*u*u**3\/u) assuming u is positive.\nAnswer: u**(-79\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 k, 1 b, and 1 i when four letters picked without replacement from iibibkabbzkaabikaak.\nAnswer: 100\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0, 52, 22?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 380, 389, 410, 449, 512, 605, 734?\nAnswer: 905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -419, -3066, -10201, -24062, -46887?\nAnswer: -80914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyybwyxxywyxw. Give prob of sequence wxy.\nAnswer: 3\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -1 + (-14 - -9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from lljljljjjjjjl.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6723974mm in centimeters?\nAnswer: 0.06723974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -115 and -6.934388399.\nAnswer: -121.934388399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-5))\/18*3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-2)*(-10)\/(-160)*-5?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0628545468625 minus 5?\nAnswer: -4.9371454531375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4519 is divided by 1037.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 210 (base 3) in base 2?\nAnswer: 10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - 4 - 12 - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1373 at least 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1859310 divided by -849.\nAnswer: 2190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -2 - 1. Round z to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 9*i**2 - 2*i + 9. Let y be (-2 - 75\/(-35)) + (-2224)\/(-14). Let x = -150 + y. Determine l(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*j = -100*j + 20. Put 0, 4, -2, j in increasing order.\nAnswer: j, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -19\/20*b**5 + 9*b**2 + 65\/12*b**4 - 6*b - 1\/10*b**6 - 61\/6*b**3 + 5. Factor y(s).\nAnswer: -(s - 1)**2*(s + 9)*(3*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -i**3\/3 - 63*i**2\/2 - 37*i - 1. Let k(u) = 2*u. What is t(k(s))?\nAnswer: -4*s - 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 2\/17, 0.02?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37357 is divided by 11422.\nAnswer: 3091","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z - 36 = 8*z. Suppose 4*h - 13 = -5*l, 4*h = 4*l + 2*h - 26. Suppose 6 = l*r - 9. Solve -16 = 5*y - 3*s + z, r*y - 4 = -2*s for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 240*p = -239*p + 6, -5*p + 10*p - 4*p = -6 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (-2001)\/(-1334)*((-6)\/4)\/((-12)\/(-32)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 + -17)\/(198\/(-3036))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 78 + -77.94. Let f = 0.24 + c. Sort -11, f, -5 in increasing order.\nAnswer: -11, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1777, 11747, 21717, 31687, 41657, 51627?\n\"Answer: 9970*j - 8193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 51*l + 2442. Determine j(-48).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 75 - 51. Suppose -h - 3 = -f. Solve 15 = -5*c + 3*r - 8*r, c = 5*r + f for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -22 - 69*i**2 + 40*i + 68*i**2 + 21*i. What is the hundreds digit of q(23)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**3 - u**2 + 3*u + 15. Let w(a) = -3*a**3 - 2*a - 16. Let i(m) = 4*r(m) + 3*w(m). Let c be i(-5). What is the highest common divisor of c and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 12) to base 6\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 118 = -4*i - t, 0 = -3*i + 2*t + 94. Suppose -72*g - 116 = -74*g. Calculate the remainder when g is divided by i.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 327*q + 8116 - 3211 = 0 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7193?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 294 - 150. Suppose 7*x - f = x. Let w = 34 - x. What is the greatest common divisor of w and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7294686953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 38*l + 1103 = -39*l, 3*l - 211 = c. Let t = 244 + c. Is 13 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16671534 (base 8) to base 5.\nAnswer: 1444134111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z**3 - 7*z**2 + 5*z + 5. Let d(w) = -7*w**3 + 13*w**2 - 9*w - 9. Let f = 3144 - 3139. What is f*b(h) + 3*d(h)?\nAnswer: -h**3 + 4*h**2 - 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 226918 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4\/18 - (-4)\/(-6)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-30)\/(-25)*10\/3 - 2. What is the second derivative of 41*q + 7*q**2 - 121 + 121 + 15*q**l wrt q?\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -148 + 127 + 20 + 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(468) + 1)*-5 - (-3 + (sqrt(468) + -3)**2)) + ((-1*sqrt(468)*-2)**2 - (3*sqrt(468)*-2 - sqrt(468)))).\nAnswer: -8358 - 288*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 135191, 270393, 405595, 540797, 675999, 811201?\nAnswer: 946403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6 (b) -118 (c) -0.3 (d) -4171\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/96345 and 5\/17128.\nAnswer: 770760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -499 + 501. Solve 5 = -5*w, -3*w = -v*s + s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1384704 and 1728?\nAnswer: 4154112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15987677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t = 18*t - 32 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-8))\/(-2 + 0). Let s = 0.482 - -0.018. Which is the third biggest value? (a) d (b) s (c) -6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 2*s + 79 = 2*s - 3*v, 0 = s + 4*v + 26 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -52065832 < -52065832?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 6:13 PM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150958 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**2 + 36*x - 311. Let u be b(15). Does u = -217?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 46.72825 centimeters?\nAnswer: 467282500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 2 = -2*v. Suppose 45 = v*r + b, -5*r + 3*b + 64 + 11 = 0. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40583217577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**2 - 2*k + 3. Let m(q) = -q. Let f be m(-3). Let x be i(f). Calculate the greatest common divisor of x and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000069006 rounded to seven decimal places?\nAnswer: -0.0000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 115.5, -0.4, 100, 1\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-828)\/54 + 16)\/(116\/(-12))?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/14)\/(36\/(-168)). Let g(r) = 2*r - 2. Let n be g(m). Suppose -n = 5*h - 341. List the prime factors of h.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -77, -4, 1, 2, -3, -6 in decreasing order.\nAnswer: 2, 1, -3, -4, -6, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29007845?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 164 - 2787\/17. Is 1 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 6 (b) 1 (c) 2 (d) 159 (e) -15\/4 (f) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 9*a - 273. Let j = a + -13. Calculate the smallest common multiple of 16 and j.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*u + 65 + 135. What is the derivative of 56*w + 5 - 11 + 19*w - u wrt w?\nAnswer: 75","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -3102.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -375.8796 - -376. Let r = t - -0.4166. What is r rounded to 2 decimal places?\nAnswer: 0.54","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in months?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 4*z = -2*s - 6, 2*s - 3*z = -2. Suppose 0 = -y - 4*x + 5, 0*x - 2*x = -s*y + 69. Is 13 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428254 to the power of 1\/2, to the nearest integer?\nAnswer: 654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqpqqqqpp. Give prob of picking 1 q and 1 p.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/4*(43160\/(-200) + 237).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h. Let g(z) = 9*z**2 + z. Determine t(g(n)).\nAnswer: -27*n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 210*f - 1 - 467*f + 1 + 233*f.\nAnswer: -24*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4*f - 50 = 0, -l + 6*l + 3*f = 35. Let x = l - 6. Find the third derivative of 4*r**2 + 3*r**4 + 5*r**2 - 16*r**x + r**4 wrt r.\nAnswer: -288*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 + g - 660. Let r be j(0). Round r to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 530125 = t, -5*i - 3*t - 883555 = -2*t. Let l = -6710 - i. Round l to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of -72\/7*q**4 - 17*q**2 - 1\/735*q**7 - 432\/7*q**3 + 0 - 36\/35*q**5 - 2\/35*q**6 + 0*q. What is i in w(i) = 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -317 + 311.64. What is c rounded to 0 dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/6*(-85 + 625)\/(-90).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -b**4\/2 - 2*b**3\/3 + 2*b**2 - 6*b + 4. Let u(s) = s - 1. Let c be 1\/5 + (-24)\/(-30). Give c*m(d) - 4*u(d).\nAnswer: -2*d**3 - 2*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2612698351?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + 0)\/((-2)\/8). Suppose 3*r + y = -r. What is the units digit of r\/(-5) + 76\/10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 8*h**2 + h + 3. Let l(b) = 6*b - 99. Let c(t) = t. Let u be c(17). Let y be l(u). Calculate x(y).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40346?\nAnswer: 2, 20173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 285 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 20*d + 18 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*m**2 + 3 - 2 + 5 - 3 to v*m + t + y*m**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 10*a**2 + 5*a - 18. Let x be w(10). Let o be (1 - 2\/4)*x\/8. Suppose o*d + 4*d - 684 = 0. List the prime factors of d.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3*d = 3. Suppose -5*v + d*v = -66. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + p + 1. Let k(c) = -9*c**2 - 6*c. Let f(r) = -6*a(r) - k(r). Is f(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of h**4\/12 - 13*h**2. Let m(a) = 27*a**2. Calculate u(m(x)).\nAnswer: 54*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -20480?\nAnswer: -20477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**3 - 121*c**2 - 5*c**3 + 0*c**3.\nAnswer: -2*c**3 - 121*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 179885573 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1504 less than 70695\/47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000569 to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161361588341*z**2 - 97*z**3 + 101*z**3 - 161361588341*z**2.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y - 2*i = 10*y - 6*y - 9, -32*y - 23 = 3*i + 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10\/3*l**2 + 6 + 2*l + 2\/3*l**3.\nAnswer: 2*(l - 3)**2*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8788*s - 180 - 11 - 273 - 8786*s)*(-5*s + 3*s + s).\nAnswer: -2*s**2 + 464*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10704075 is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -8 + 7 - (-4 + -10). Let k be -3*(-4)\/6 - 4. Sort k, s, 5, -3 in descending order.\nAnswer: s, 5, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 8426 = 2*f, -5*f + 390*x = 386*x - 21083. Is 5 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 144163166 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3084005?\nAnswer: 5, 29, 21269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*p**2*s**5 + 73*p**2*s**4 - 15*p**2*s + 2*p*s - s wrt s?\nAnswer: -40*p**2*s**3 + 876*p**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of 7*y**3\/3 - 49*y**2\/2 + 13*y + 156. Is w(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2509276 and 119.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5575 - -5585. Suppose 125 = 5*x - 125. Calculate the highest common divisor of x and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(-9))\/(2\/24). Suppose i*j - 12 = 3*j + 4*h, 5 = -5*h. What is the common denominator of -101\/18 and 122\/(-16)*4\/j?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4\/3, -0.8, -1\/6, -112575\/2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-7))\/(10\/(-35))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31\/20 + -14\/5. Let i be 4*(-3)\/6*2\/(-10). Which is the nearest to 0.1? (a) 3 (b) r (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -5. Let z be 1\/(-2) - 3\/(-12). Which is the nearest to 0.1? (a) z (b) g (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 9:33 PM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 155990 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 14 = -h + 4*a, 2*h + 8 = 4*a. Calculate the lowest common multiple of h and -3*3\/(-18)*4.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**2 - 57*h + 12. Let u be i(-27). Suppose f = 7*y - 11*y + 26, -3*y = -3*f + u. Do f and 28 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 53700 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2268631?\nAnswer: 2268631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -10 + ((-310)\/(-10) - (-4 + -1)). Solve c*t = 2*t - 96 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 7*a - 18. What is x(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3455029133?\nAnswer: 67, 51567599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 669120?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5470, -3346, -1222?\nAnswer: 902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 3181755.775 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*i - 19*i + 20 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20\/9381? (a) 0.4 (b) -3 (c) 9\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1008866117 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 - -50. Suppose 4*c - 7*c + 4*o - g = 0, -4*o + 9 = c. Is 3\/(c\/(-6) - 0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34.41 + -38.3. Let x = -0.11 + a. Let n = -3.6 - x. Sort n, 2, -1\/3 in descending order.\nAnswer: 2, n, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 8 = -4*j + y, -3*j + 14 = 4*y for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -2\/19 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(50) - 6*2*sqrt(50)) - (1 + sqrt(50) + sqrt(550)\/(sqrt(33)\/sqrt(3))))**2 + 2 + 4.\nAnswer: 460*sqrt(2) + 105807","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -5*i + 3. Let h be n(-6). Suppose 0 = 2*v + y - 121, 2*v + 2*y - h = 91. Calculate the remainder when v is divided by 20*(-18)\/(-24) + 5.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2100307225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/7))**(-1)\/(f*f\/(f*f\/f**(3\/7))*f**(-3\/4)) assuming f is positive.\nAnswer: f**(1\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d = 27 - 60. Let l(f) = -f**3 - 3*f**2 - 4*f. Let m be l(d). Solve -3*t = 2*i + t - m, -4*i + 3*t = -13 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6\/13 (b) 2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -2*c + 23 + 7, -5*l - 59 = -3*c. Suppose -2*d + c = -63. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a82184 (base 12) in base 6?\nAnswer: -132545044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by 147568.\nAnswer: 3\/36892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 54163346 to the power of 1\/2, to the nearest integer?\nAnswer: 7360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6272 divided by 3?\nAnswer: 6272\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 28 = -28. Suppose -48 = -8*s - d*s. What is the remainder when 16 is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -115 (b) -39 (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((62640\/(-225))\/116)\/(68\/(-10))\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - (-4)\/(4\/7). Suppose 5*m - 11 = -4*g, 0*m + 19 = 5*m - n*g. Solve 0 = -0*f - m*f + 15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d - 8 = -12*d. Let b = 2 + 0. Solve -2*x + b*z + d = 0, 4 = -2*x - 7*z + 3*z for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -341242 (base 5) in base 15?\nAnswer: -389c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 214881, 429816, 644751, 859686, 1074621, 1289556?\nAnswer: 1504491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -211\/7 - -30. Which is greater: n or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j**2 - 84*j + 40. Determine l(-28).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-816)\/918*(-6)\/136.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3, 36, 81, 144, 231, 348, 501, 696?\n\"Answer: q**3 + 26*q - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/8*(-80)\/40.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 236 = 8*s. Let l = -1658\/7 + s. Suppose 3*p = 2*p. Which is the second smallest value? (a) l (b) -4\/7 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j\/j**(5\/4))\/j*j)\/j*(j\/(j*j**(-2\/5)\/j))\/j*j)\/(j**9\/(j**(-1\/9)*j)) assuming j is positive.\nAnswer: j**(-1253\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 4*w. Suppose 6 = -m + 2*o, 0*o - 25 = -5*o. Let p be l(m). Let s be (-52)\/(-21) + ((-284)\/28 - -9). Are s and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4.973 or 2290.9?\nAnswer: 2290.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1594 + -290. Does 8 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10100101001101111101001 (base 2) to base 10\nAnswer: -5413865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 10*m + 11. Let d be o(9). Let b(q) = -10621*q**2 + 9868*q**2 - 15047*q**d. Let j be b(10). What is j rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (47 + 8)*(-7 - (-4 + -25)). Round s to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 - -25. Which is the fourth biggest value? (a) l (b) 6\/11 (c) -0.5 (d) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9114\/(-620)*(-385)\/3234.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/9 - 56*w**2\/9 + 130*w\/9 + 500\/9.\nAnswer: 2*(w - 25)*(w - 5)*(w + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13446 - -13490. Let r(u) = u**2 - 5*u**2 - 9 - u**2 + u**3 + 6*u. What is the remainder when r(7) is divided by m?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and -19.\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.5109177 to 2 dps.\nAnswer: -3.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**2 - 254693*q**3 + 513381*q**3 - 258687*q**3 + 2*q**2.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3616*g**2*j**4 + 439*g**2*j**2 - 5357*g**2*j + 64*g*j**4 wrt j?\nAnswer: 86784*g**2*j + 1536*g*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from roroporooopoooo. Give prob of sequence pr.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x - 2. Let w(d) = 676*d - 334*d - 337*d. Give g(w(y)).\nAnswer: 5*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 1:36 AM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 less than 163?\nAnswer: 163.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/(-5))\/(4\/(-15)))\/(-18).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -299*u**3 - 624*u**3 + 128*u**3.\nAnswer: -795*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -5*b**3 - 40*b**2 + 20*b + 160 = 0.\nAnswer: -8, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 6 = -5*x + 29, 5*r - 5*x = -30. Let c = 1 - r. Suppose 3*t - 63 = -3*l, 5*l = c*t - 0*t + 77. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1442633 (base 12) in base 11?\nAnswer: 23298a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 941, 1963, 2985, 4007, 5029?\n\"Answer: 1022*p - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -4017159 less than -4017151?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3120?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1110111110011011010100 (base 2) to base 4\nAnswer: 32332123110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 11 + 37 = 0. Suppose 0 = -8*w + 2*w + 18. Let n = w - u. Which is bigger: n or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -43*n**2 + 2*n + 6. Let h(d) = -1021*d + 1. Calculate v(h(x)).\nAnswer: -44824963*x**2 + 85764*x - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 2*r**3 + 3*r**3 - 8 + 2*r - 4*r in the form v*r**2 + q*r**3 + c + n*r and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 4 = 2*m, m = -y + 2. Suppose -28*n + 4982 + 5322 = y. Round n to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 407*t**3*z**3 - 108*t**2*z**2 + 8*t*z**3 wrt t?\nAnswer: 2442*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 178254 and 378.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 15 = -3*x, 2 = -y + x. Solve h + y = 2*j, 5*j = -h - 0*j - 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -474.04 + 474. Which is the nearest to -1\/3? (a) m (b) 1\/2 (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*p**5 + 78*p**4 + 130*p**3 - 302*p**2 - 232*p - 40 = 0.\nAnswer: -2, -1\/3, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14264.\nAnswer: 2, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 36, 138, 322, 618, 1056, 1666, 2478?\n\"Answer: 5*i**3 + 11*i**2 + 34*i - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 0*(-2)\/(-8)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t*t**27)\/t))\/t**(-7)*(t**(1\/23)\/t*t)\/(t\/((t**(1\/4)*t)\/t)) assuming t is positive.\nAnswer: t**(-1813\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r + 3*r**2 - 25 - 49 - 2*r**2 - 2*r + 11. Is o(25) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 356*x**2 + 358*x**2 + 0 to the form d*x**2 + t*x + r and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1277 and -99.9.\nAnswer: 1177.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(4)\/(sqrt(2) + sqrt(2) + sqrt(12)\/(1*sqrt(6))))**2*3 + 0).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + a + b = 1, 4*a - 2*b = 28. Suppose -5 = 4*i - a*i. Solve 14*f**2 - 3*f - 18*f**3 - 5*f**4 - 2*f**2 + 17*f**4 - 3*f**i = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 46 and 1663\/37 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2*v, 0*v + 4*v = -4*r + 12. Suppose 0 = r*a - 32 - 6. What are the prime factors of a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*j + 9*j + 15*j)*(1 + 3 + 3)*(-1 - 2 + 4) as z + o*j and give o.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 + u + 6. Let w be h(-2). Suppose -3*k + 1224 = 5*r, 0 = 3*r - 3*k - w*k - 720. Is r a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 875243.9 litres to millilitres.\nAnswer: 875243900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1009931?\nAnswer: 13, 77687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 25)\/(7\/(-14)). Suppose 60 = 4*p - 2*b - 3*b, 0 = -b + 4. What is the greatest common factor of p and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - (5 - 5)) + 3 + 82 + -25 + -5.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-5 - -4) + -19 - 9.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.4, 0.3, 2\/59?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -23f?\nAnswer: 23b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 704025.63ns in hours?\nAnswer: 0.000000195562675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9 or 926.347?\nAnswer: 926.347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*u = -26*u - 9 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 798746539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 269*u**3 + 1 - 13 + 3*u**2 - 7 + 155*u**3 wrt u?\nAnswer: 2544","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 218 - 6 = 0. What is the units digit of b\/(2*(-1)\/2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - -16874.\nAnswer: 16895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*73*2*(-3)\/6. Let y = 81 + d. Suppose 6*b + y = 8*b. Put 5, b, -4 in ascending order.\nAnswer: -4, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77380836 a multiple of 403?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34804?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 2) + 0 + 12 - 4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*g - 10*g = -129. Let n(m) = -1. Let z(o) = -o. What is g*z(p) + n(p)?\nAnswer: -3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3056551 to the power of 1\/3, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 74\/5 + -10*26\/325 and 196.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 1666 = 3*h - 1166, 0 = 5*x + 15. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -595 + 541 = 6*u for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - 2*n + 0*n)*(4*n**4 + n**4 - 4*n**4) + 0*n**5 - 6*n**5 + 4*n**5 + (n**2 - 4*n**2 + 5*n**2)*(-n**3 - 3*n + 3*n).\nAnswer: -6*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**35)**(-30) assuming w is positive.\nAnswer: w**(-1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 205.8 + -206. Sort 1, y, 51 in decreasing order.\nAnswer: 51, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -10 + 9 - 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 728*r + 61. Is c(17) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-36)\/(-15))\/((-1)\/(-5)). Let v(c) = -7*c + 8. Let n(w) = w**2 - w - 16. Let l be n(0). Let m be v(l). What is the highest common divisor of m and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -5*d + 47, -4*l - 61 = d - 6. Let j be (14\/49)\/((-6)\/l). Factor 8\/3*x + j*x**3 - 8\/3*x**2 + 0.\nAnswer: 2*x*(x - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 34*y**2 + 65*y - 31. Let p be f(32). Let d = 0.2 + -1.2. Let b = 181 - 180. What is the closest to p in b, 4, d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7151027*y**3 - 300*y**2 - 1466*y - 1 wrt y.\nAnswer: -42906162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 85180 take away 4733439?\nAnswer: -4648259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -115 divided by 200308?\nAnswer: -115\/200308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 6*p + 16 = 4*h, 0 = p - 2*h - 12. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(1260) + sqrt(35))\/(sqrt(10)\/(sqrt(72) + sqrt(2)) - sqrt(5))*5)**2.\nAnswer: 1037575\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d**2 + 4*d - 3. Give j(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 98409335 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.051 - 16576917.\nAnswer: -16576910.949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 506159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229221036.\nAnswer: 2, 3, 11, 23, 8389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (2 + sqrt(704) + -4)**2)*-5.\nAnswer: -3515 + 160*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + -1882676565\nAnswer: -1882676565.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-616)*63\/(-45).\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 - (25 - (-28 - -10))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j = 16 - 56 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1011110001100001001000 (base 2) to base 15\nAnswer: 40e758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 12 = -f, -3*s + 623 = -2*f. Let t = -195 + s. Is 10 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -7. Suppose 0 = 83*k - 82*k. Which is the closest to k? (a) j (b) -3 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 6 + 25 = 2*s, -2*l - 19 = 5*s for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 851691 is divided by 20272.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18912410 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a micrometer in nanometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 8.6.\nAnswer: -17.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5*k - 28 = 5*z, -z - 20 = -3*k. Let l be (-394)\/854 - k\/(-14). Let v = 667\/122 - l. Which is bigger: 5 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 3*t + 5*t, -3*t + 3 = -2*w. Suppose 11 = -3*x + 5*x + w*a, -3*a - 2 = x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*i - 72882 + 72882.\nAnswer: -39*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 285 divide 8887813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*r = 43*r + 18 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3, 5, 7, 9, 11?\n\"Answer: 2*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o + o - 6*o - 12*o - 3*o - 4*o + (-9 + 14 + 8)*(-7*o + 4*o + 4*o).\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1789842066 to the nearest integer?\nAnswer: 1214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 61.12505+-102.7\nAnswer: -41.57495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 367177155 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 13*x + 28. Let g be 0 + (-6)\/2 + 17. List the prime factors of v(g).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 564\/(-31) + -2 - (-2910)\/15035\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -347, -2739, -9225, -21851, -42663?\n\"Answer: -341*r**3 - r**2 - 2*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 1456?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 211 + -118. What is the remainder when a is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 86 and 23\/(-69) + (-43)\/(-3)?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18971, -18961, -18943, -18917, -18883?\nAnswer: -18841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1175987195.0000199 + -1175987320. Let t = x - -125. Round t to 6 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 405*v**4 - 11273850*v**3 - 115281575*v**2 - 126563300*v - 22555980 = 0?\nAnswer: -9, -1, -2\/9, 250622\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 149087 to the nearest integer?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zztu when four letters picked without replacement from zzyuzmyymzuutzuuzt?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.633? (a) -2 (b) -2\/9 (c) 111 (d) -2\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8.54 + -13.54. Put -1\/5, 62, x in descending order.\nAnswer: 62, -1\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -1\/8 (b) 0.74997 (c) 0 (d) -2 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 times -0.3?\nAnswer: -187.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = a - 113, 0*d + 245 = 5*d - 5*a. 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: Let o(k) = -k**2 + 2. What is o(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of 109*v**6\/30 - v**4\/6 + 41*v**3\/6 + v**2\/2 + 2*v - 87. What is the second derivative of l(a) wrt a?\nAnswer: 1308*a**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 56*o - 635. Let f(x) = 25*x - 315. Calculate -7*f(n) + 3*v(n).\nAnswer: -7*n + 300","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1277350597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -43759303 >= -43759303?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/10, -0.4, 3\/2, -78 in increasing order.\nAnswer: -78, -0.4, 1\/10, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 54852 (base 9) to base 7\nAnswer: 211112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 4*j + 1. Let t be p(-5). Let u(s) = s + 3. Let z(n) = -n - 1. Let c(o) = t*z(o) + 2*u(o). Let r(q) = 4*q. What is c(r(h))?\nAnswer: -16*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + -5)*(-825)\/(-132)*-4.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -119. Let s be (9\/21)\/(17\/x). Solve 0 = -s*o - 2*h - 9, 4*o + 4*h = -8 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41593, 83180, 124767?\nAnswer: 166354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56*p**2 + 75*p**2 + 7*p**2)*(-15*p + 3*p - 12*p)*(-2*p + 0*p + 3*p).\nAnswer: -3312*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3132257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*d**5 - 12*d**3 + 12*d**3 + (4 - 4 - d)*(2*d**4 + 3*d**4 - 6*d**4).\nAnswer: -10*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p - 1. Suppose 0 = 5*r - 4*f + 3, -2*f - 2 = -3*f. Let b(i) = 5*i - 7. Let w(c) = r*b(c) + 6*u(c). Give w(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of k**4\/12 + 42*k. Let i(v) = 8*v**2 + 24. Let a(b) = -1. Let l(c) = -24*a(c) - i(c). Calculate l(x(r)).\nAnswer: -8*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 9 = 3*i + 8*a, 2*i = -5*a + 6. Suppose -i*l = -4*g - 0*g - 296, 2*g + 198 = 2*l. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 497072812 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 8*i + 44. Let b be t(-6). Suppose 13 - 2 = 2*d + 3*q, q = 3. Put d, -76, b, -5 in increasing order.\nAnswer: -76, -5, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/17 + 16*s\/17 - 18\/17.\nAnswer: 2*(s - 1)*(s + 9)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 172, 167, 150, 115, 56, -33, -158, -325?\nAnswer: -540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 360 a factor of 26476781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 v when two letters picked without replacement from {v: 1, a: 3, k: 1, n: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 5:59 AM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 29420760 to the nearest ten thousand.\nAnswer: 29420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/24588940 and -187\/36883410.\nAnswer: 73766820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177 = h - 14*h + 8 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1188 - -1097.1. Let i = w - -87. Let y = -4 - i. Is y < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/20 of a kilogram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 53497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 906 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 3*r + 17, -3*c + 7 - 25 = 4*r for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 a when three letters picked without replacement from {a: 4, l: 3}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + k - 20, -3*k + 15 = 3*y + 2*k. Suppose -y = -w + 1. Let p(a) = 2*a + 1. What is the units digit of p(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 c when two letters picked without replacement from iibcibibiijj.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8129751548.249 and 0.4.\nAnswer: 8129751548.649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4928 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*z**2 - 6*z + 3*z - 280*z**2.\nAnswer: -352*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/((-12)\/9 - -2). Let l(h) = h**3 + 4*h**2 - 4. Calculate l(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -13*x**2 - 6*x. Let k(j) = -25*j**2 - 11*j. Let m(w) = -6*k(w) + 11*r(w). Let l(g) = g**2. Calculate l(m(q)).\nAnswer: 49*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -55*o + 1484. Let m be i(27). Which is the nearest to m? (a) -34 (b) 2\/3 (c) 0.5 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18904830, -18904836, -18904844, -18904854, -18904866, -18904880, -18904896?\nAnswer: -18904914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 152851, 152876, 152937, 153052, 153239, 153516, 153901?\nAnswer: 154412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 6 + b - 9*b + b - 5*b**2. Let f be s(-4). Suppose f - 2 = q. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.17 - 9.83. Let h = -10.1 - y. Let a = -0.0999952 - h. Round a to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from awawaavaaawaavww. What is prob of picking 4 a?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/265162 and -10\/928067?\nAnswer: 1856134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 4, 2\/31, -2\/5, -3100?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/3 - 0. Let i = -16 + 110\/7. Which is the third smallest value? (a) u (b) 0.3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 820993811?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41004.61 + -40661. Round l to the nearest integer.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2 = 2*i, -5*g - i = i + 30. List the prime factors of -5*(456\/10)\/g.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 11, b: 1, k: 3, t: 4}. Give prob of sequence kh.\nAnswer: 11\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (g + 3*g - 2*g)*(5*g**2 - 3*g**2 - g**2) + 7*g**3 + g**3 - g**3 in the form b*g**3 + o*g**2 + h*g + z and give b.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + v. Suppose 0*s - 5*s = 2*r - 79, -5*s + 3*r + 69 = v. Let a = 28 - s. Calculate the remainder when a is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43089 is divided by 378.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20060 and 596.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 0*s + 8 = 2*s, -2*s + 6 = 0. Suppose 3*q + 5 = z. Let n = -0.3 + 0.1. Which is the closest to q? (a) n (b) 4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3 + 32972*g**2 - 32969*g - 65942.\nAnswer: -(g - 32971)*(g - 2)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i**3 - 2*i**2 + 2*i - 1. Let b be r(1). Suppose v = -5*l + 11, -7 = 5*l + b*v - 19. What is the smallest common multiple of l and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -325\/4 (b) 4 (c) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 2 r, and 1 z when four letters picked without replacement from lrljlzjrl.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of 0*q**4 - 5\/6*q**6 + 0*q**5 - q**3 + 0*q**2 + 12 + 0*q. Find the third derivative of l(o) wrt o.\nAnswer: -300*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16*4)\/((-4)\/2). Suppose -3*j - 7 = q, q + 4 = 4*j + k. Suppose q*h - 96 - 720 = 0. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -7*t**3 - 22*t**2 - 16*t + 96. What is the thousands digit of d(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4*w + 162 = 0, 5*v + 2*w = -0*v + 405. What is the greatest common factor of v and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 4*z - 188, -z - 2*z = 2*h - 84. What is the remainder when 82 is divided by h?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -2*o**4\/7 + 13260*o**3\/7 - 29331072*o**2\/7 + 3100667904*o - 129174994944\/7 = 0.\nAnswer: 6, 2208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001686862 rounded to seven dps?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -388*h + 33250 + 12146 = 0. Calculate the remainder when h is divided by 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 4442460?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 10, -5, 0, -7, 1182 in ascending order.\nAnswer: -7, -5, -3, 0, 3, 10, 1182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131098831.\nAnswer: 131098831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 286 - 156. Suppose 2*w = -11*w + d. Let j(t) = -t + 12. Let g be j(6). Solve -n - w = -g*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-3))\/((-30)\/(-75))*(-6)\/(-225)?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5 = -13. Suppose -c*l + 3 + 0 = -3*m, -l + 2*m - 3 = 0. Suppose -v - l = -20. List the prime factors of v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9795*p**4 - p**3 - 383*p**2 + 2*p + 165 wrt p?\nAnswer: 235080*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/8)\/(26\/16 - 2). Suppose -15 = -r*v + v. Solve -v = 4*y + 3 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*p**4 - 2*p**4 + 167*p**4)*(1 + 0 + 2*p + 0).\nAnswer: 290*p**5 + 145*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58361 - 14573 + 2*m**3 - 14612 - 14524 - 14505.\nAnswer: 2*m**3 + 147","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*a**4\/9 + 1725476*a**3\/9 - 62024966780*a**2\/3 - 930441796324*a\/9 + 2605169390264\/9 = 0. Calculate a.\nAnswer: -7, 2, 215687","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*s + 70 - 6. Calculate the remainder when 46\/(7\/((-84)\/s)) is divided by 29.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13048363.\nAnswer: 151, 86413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1230\/(-9))\/(2\/(-12)). Let x = 1056 - -705. Let s = f + x. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19 or -3?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 232 = 3*h, 492 = 5*h + k + 124. Suppose -3*m + 6*m - h = 2*r, -94 = -3*m - 2*r. Suppose 0 = f - 0*u - 3*u - m, 0 = u. Is 14 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -204, -249, -318, -423, -576, -789?\n\"Answer: -2*l**3 - 31*l - 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7959?\nAnswer: 3, 7, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -137, -207, -3 in decreasing order.\nAnswer: -3, -137, -207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 288*d - 7483. Determine b(26).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 484 + -486. Let p = -4 - -4.3. Which is smaller: o or p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from nonnnnnn.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 50402 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 354250 times 3\nAnswer: 1062750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 10, r: 9}. What is prob of picking 2 r?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bkdkcdadad. Give prob of sequence cdd.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 13*l = 32640000. Suppose 13*c - l = 5*c. Round c to the nearest ten thousand.\nAnswer: 1020000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -19136002?\nAnswer: 3827200.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 324766 is divided by 5799.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(272)*-2*-4 - sqrt(272)) + 1 + 2)*-6)**2.\nAnswer: -1920528 - 24192*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-17)*c)**(4\/9) assuming c is positive.\nAnswer: c**(-64\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18347*z**3 + 108*z**2 + 7930802*z?\nAnswer: 110082*z + 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 748.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u - 8. Suppose 2*b = -5*t - 10, -5*b + 2*t + 45 = -3*t. Let n be (b + -6)\/((-1)\/4). Let c be s(n). Solve c = -i - 4*i - 15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4*q = 78, 141*d - 144*d - 4*q = -147. Calculate the remainder when 1115 is divided by d.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.74 + 1.74. Suppose -z = -2*n + 10, -4*z - n = -6*z - 8. Let g be z\/10 + (-4)\/20. Which is bigger: c or g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*v**5 - 142633*v**4 - 98770*v?\nAnswer: 40*v**3 - 1711596*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*u**2 + 45666 - 45666 + 46*u**2.\nAnswer: 61*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 8 + 4 - 13*j)*(1 - 2 + 0)*(-j + 3*j + 0*j) as k + o*j + m*j**2 and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28 - (10 - 22)) + 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (47 - 16 - 47) + 0 + 7 - (-77 + 3).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6272679*g**3 + 19*g**2 + 72*g + 145 wrt g.\nAnswer: -37636074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74745 is divided by 49?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3056*a + 604*a - 3036*a - 410*a)*(-6*a + 4*a + 0*a).\nAnswer: 11796*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3759199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 478, 1733, 4212, 8323?\nAnswer: 14474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 31 = 43. Suppose -405 = -q - 4*q - 5*z, -u*q + 3*z + 303 = 0. Let r = -43 + q. What is the remainder when 69 is divided by r?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 800 and 2551175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5087 divided by 35113?\nAnswer: -5087\/35113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 77 = -23. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23451.42743 rounded to the nearest one hundred?\nAnswer: -23500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h**2\/7 - 442*h\/7 - 220\/7 = 0. What is h?\nAnswer: -110, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**2\/6 - 4*x\/3 + 78 = 0. Calculate x.\nAnswer: -26, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 5*k - 2, 0 = -3*s + 2*s + 5*k + 13. Let o(q) = 0*q + q - q**2 + s*q**2. What are the prime factors of o(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 383*t - 1501. What is the smallest common multiple of l(4) and 1953?\nAnswer: 1953","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - 2*q**2 + 7*q**2. Suppose 0 = -0*h + h. Let k(i) = h*i + 3*i - i - 3*i. Determine y(k(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 378333 is divided by 23589.\nAnswer: 909","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x - 2. Let t(a) = 2. Let p(y) = -y. Let l(j) = p(j) - t(j). Determine 7*f(h) - 6*l(h).\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3847 or -1?\nAnswer: -3847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -9. Let l = 101\/7 - 498\/35. Which is the third smallest value? (a) -3 (b) s (c) l (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5831875 and 40145000.\nAnswer: 1726235000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6880 or -6890?\nAnswer: -6880","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - q + 10 = 0, -3*y + 5*y - q = 0. Suppose y*k - 3 = 1. Suppose -34 = 33*r - 133. Solve -u - k + r = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 490?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -2*m - 3. Suppose 2*z - 54 = -3*s, -m*s - s + 8 = 0. Calculate the remainder when z is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - 10*q - 12. Let a be y(-8). Suppose -a*n = -432 - 212. What is n rounded to the nearest 10?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1014269)\/(-118)*(-2 - -4) - 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10898 divided by -30\nAnswer: -5449\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -308 - -324. Calculate the greatest common divisor of 152 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 35 + 0 + 35)*(-3*i + 3*i - 9*i).\nAnswer: -576*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -60.102 - -0.102. Let k = z + 59.2. Round k to 0 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 9:09 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6954 and 4.\nAnswer: 13908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 5 + 2 - 4*m - 8*m**2 - 1 - 2 = 0. Calculate m.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 + 49 = 2*t + o, 5*t = -13*o + 82 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4143 (base 5) to base 3.\nAnswer: 202022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 399, 795, 1191?\n\"Answer: 396*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-48945)\/15060)\/(3\/(-20))\nAnswer: 65\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34 + 61. Calculate the remainder when (-316)\/(-6) + (-7)\/168*-8 is divided by o.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l + 10. Let z(r) be the second derivative of -r**4\/24 - r**3\/2 - 5*r**2\/2 - 5*r. Let i(j) be the first derivative of z(j). Give -14*i(o) - 4*k(o).\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - -6. Suppose -59 = 12*f - 215. Let k = n - f. Is -4 greater than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3 + 2*d**2 - d + 1 - 5*d**3 + d**3 + 6*d**3 - d**3. Let t be ((-4)\/(-10))\/(2\/(-10)). What is o(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from odyoyro. Give prob of sequence oyrd.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 973*i**5 + 7*i**3 - i - 985 wrt i.\nAnswer: 19460*i**3 + 42*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*(4 + (sqrt(80) + 2 - sqrt(80))) + ((sqrt(80)*-2 + sqrt(80))*5 - ((sqrt(80) - (1*sqrt(80)*5 + sqrt(80))) + sqrt(80)))*-3)**2.\nAnswer: 1728*sqrt(5) + 5904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-43 + -12)*1\/((-30)\/2088).\nAnswer: 2, 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14668*b*t**2*u + 13*b*t**2 - 18*b*t*u**2 + 56*b*u**2 - 92*b + 3*t**2*u**2 wrt t.\nAnswer: -29336*b*u + 26*b + 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*y**3\/2 - 43490*y**2 - 34798*y - 6960 = 0. What is y?\nAnswer: -2\/5, 3480","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -12841347.34 rounded to the nearest one hundred?\nAnswer: -12841300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4312\/(-9240)*18\/28.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 707 (base 8) to base 6.\nAnswer: 2035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n + 2*n - 2*n)*(23*n + 28*n - 91*n + 82 + 29*n) to v + k*n**2 + a*n and give k.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3918.92 * -3.\nAnswer: -11756.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of 7*b**3 + 62*b + 30. Differentiate q(z) wrt z.\nAnswer: 42*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -127 + 128. Let x be 21\/(-54) + (3 - 3). Let v = 73\/90 - x. Are v and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -93 divided by -31\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express b**3 + 7*b + 288*b**2 + 16*b**2 + 57 - 123 + 67 - 3*b**3 as f*b + p + h*b**2 + t*b**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6564*h + 19744*h - 6589*h + 8 - 6574*h.\nAnswer: 17*h + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, n: 3, w: 1}. What is prob of sequence nn?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1600 and 464128?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 8*x**2 - 5*x + 5. Let o be c(-7). Let q = 6 + o. Let y = q - -7. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -220*d**3 + 221*d**3 - 3 - 2*d**4 + 13*d**2 + 5 to c + p*d**4 + s*d**3 + m*d + x*d**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1161753 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -90, 4 in descending order.\nAnswer: 4, 2, -2, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12612175 is divided by 12612170.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1988454346?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15377314 - 12?\nAnswer: 15377302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 628 + -624. Suppose -7*l = -2*u - 6*l + 24, -5*u = z*l - 47. Let v(j) = j**3 - 10*j**2 - 12*j + 12. What is v(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60348207 by 101.\nAnswer: 597507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by 32?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w - 10763506 + 2953506 = 0. Round w to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*m**4 + 202*m**2 - 7331 wrt m.\nAnswer: -20*m**3 + 404*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 13727, 0.4, 41?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 5*y - 8, i = -2*i - 4*y + 6. Let q = 518 + -494. Find the third derivative of -7*v**2 - 3*v**6 + 0*v**6 + q*v**i wrt v.\nAnswer: -360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-7)\/(21\/(-12)) - 4)\/2. Suppose -1 = -2*n + 3. Suppose w + 1\/3*y**n - 1\/3*y = 0. Calculate y.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-4)*((-3)\/(-1))\/(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.93 + -0.73. Let p = -226 + 220. What is the second smallest value in -1, x, -4, p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20439 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(288) + 1 + sqrt(288) + -2)*3*-4.\nAnswer: -72 + 1728*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 53549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 154227*k**3*r**2 + 12339*k**3 - 2*k**2*r**2 + 2*k + 3*r wrt r.\nAnswer: 308454*k**3 - 4*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 697329?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 652596 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 441 - 401. Let x(q) be the second derivative of 2*q**3 + 6*q**2 + 15*q. Let g be x(4). Calculate the greatest common divisor of f and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-663)\/135 + (-11)\/(3 + 52). What is the third smallest value in -0.1, h, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2495571333 to the nearest integer?\nAnswer: 49956","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*r**5 + 6566*r**3 - 15*r - 9744 wrt r?\nAnswer: 300*r**3 + 39396*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.4 and -667.\nAnswer: -933.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x + 235 = -65. Suppose -3*f + 38 = -f. Let q = -9 + f. Calculate the highest common factor of q and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -0.3 (b) 10 (c) 120\/7 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 72a + 21?\nAnswer: 74b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3544*r**2 - 2*r + 2*r - 3578*r**2 + 0*r**3 - 2*r**3 + 7122*r**2.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 12*o - 10*o + 24, 0 = -2*o - 3*k - 27. Let g(c) = 2*c + 31. Calculate g(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34569733\/1914465 - -1\/54699. Which is smaller: t or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 72285.8?\nAnswer: -216857.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1004698960 and 480.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/9)\/w*w)**45*(w\/w**(-5\/14))**(2\/41) assuming w is positive.\nAnswer: w**(-1416\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 23476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + 5. Let o(s) = -s**3 + 8*s**2 + 8*s + 11. Let v be o(p). Let t(d) = -d**2 + 7*d + 6. Let u be t(5). What is the highest common factor of v and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + l - q = -2, -3*l + 2 = -q. Let o(g) = -24*g**2 + 9*g + 9. Let s(v) = -v**2 + v + 1. Determine l*o(k) - 9*s(k).\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1738, 2106, 2522, 2986, 3498, 4058, 4666?\nAnswer: 5322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2069 (base 12) to base 11.\nAnswer: -2726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20 or 15032?\nAnswer: 15032","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(1\/3))\/t)**(2\/51)*t**4*t**(-2\/31)*t*t*((t*t**3\/t)**(-17))**28 assuming t is positive.\nAnswer: t**(-6744914\/4743)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/128 and -161\/387552?\nAnswer: 1550208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -44, 3 in ascending order.\nAnswer: -44, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1617 by -25249.\nAnswer: -231\/3607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**2 - 4*r. Let o = -37 - -40. Give d(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**2 - 3*a**3 + a + 457 + 2*a - 915 - 6*a**2 + 459 as b*a + w*a**3 + j + s*a**2 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2487907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 5:41 PM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -324 = a - 5*a. Is a a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 6 = -4*m. Suppose -m*k - 1 = -5. Sort -4, k, 3, 1.\nAnswer: -4, 1, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 988656?\nAnswer: 2, 3, 43, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -142 in ascending order.\nAnswer: -142, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*(r\/(r**2*r*r))\/r*r)**(1\/2)\/(r\/(r\/r**3*r))**26 assuming r is positive.\nAnswer: r**(-105\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 1134*y + 2. Let v(x) = 1147*x + 2. Let d(m) = 2*i(m) - 3*v(m). Let o(l) = -l. Determine d(o(a)).\nAnswer: 1173*a - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4071 less than -5?\nAnswer: 4066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*v + 9*v - 287. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310.5689 seconds in nanoseconds?\nAnswer: 310568900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1425 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 10*(-79)\/((-290325)\/(-420))\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -5, -2318.\nAnswer: -2318, -5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 0.07, -5.36 in decreasing order.\nAnswer: 2\/9, 0.07, -5.36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -1\/6*c**3 + 0*c**2 - 5*c + 0*c**4 + 1\/10*c**5 + 0. Find the second derivative of l(h) wrt h.\nAnswer: 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-80))\/((-8)\/(-20))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -133 (base 12) to base 4\nAnswer: -2313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 200280 divided by -5007?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -134759 + 134755. Let g be (-9)\/7 + (-2)\/(-7). Which is the closest to 0.2? (a) 0.03 (b) g (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2797 by 77421.\nAnswer: -2797\/77421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -21*h + 196. Determine q(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 156\/26 + 2*166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -248 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -54*p + 1828. What is k(34)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m**3 - 2*m**2 + 36. Let t(u) = u**3 - u**2 + 12. Determine -3*q(l) + 8*t(l).\nAnswer: -l**3 - 2*l**2 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 4*n - 5*n + 26 = 0, -3*r = 5*n - 28. 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: Round -0.00015764062 to six dps.\nAnswer: -0.000158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 315.8 - 316. Let c = -0.0914 - 0.3086. What is the nearest to -1 in c, 0.07, g, -1\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 881?\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -5*g + 39. Let x be (6 - (1 + 0)) + (-588 - -592). Give u(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-65)\/(-175) + 9\/45. Let j = 70 - 492\/7. What is the fourth biggest value in i, j, -3, -5\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2*r**5 - 8*r**4 + 20*r**2 + 2*r - 12 = 0.\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-6)*58\/203 + (-71)\/(-3).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + -5)*1\/(-6). Let r = 7.9 + 0.1. Let v = -13 + r. Which is the nearest to -4? (a) 0.4 (b) z (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**2 - 398*f**3 - 2*f**2.\nAnswer: -398*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61525?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 164221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7641618 or -7641620?\nAnswer: -7641620","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (399*g**2 - 548*g**2 - 6405*g**2)*(4*g - 5*g - g).\nAnswer: 13108*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + q**2 - 9*q - 2. Determine l(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11754.\nAnswer: 2, 3, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -68572*k - 44307 wrt k.\nAnswer: -68572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*i - 60 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40\/9 + -13\/3. Let z(o) = -o**3 + 8*o**2 - 5*o - 10. Let s be z(7). Suppose s*j = -j. Is r > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/((-21)\/27) + -3. Let s = -2 + 29. Is (-8)\/h*s\/(-6) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nwr when three letters picked without replacement from rrrnwrvrfrrr?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/5746170 and -69\/788690.\nAnswer: 40223190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 495, 1141, 1787?\nAnswer: 2433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cssuhli. What is prob of sequence hscs?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33\/20 - 7\/5. Factor 1\/2*f**3 - 1\/2*f - a*f**4 + 1\/4 + 0*f**2.\nAnswer: -(f - 1)**3*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.687852 rounded to 2 dps?\nAnswer: 0.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -617 + 621. Suppose -2*p + m*x = -36, -4*p - x = -59 - 58. Calculate the lowest common multiple of p and 140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 13. List the prime factors of (-4)\/w - 8*-1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 4:48 PM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9045?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16)\/(-3) + 0 + 9\/(-27). Suppose w*z + 12 + 8 = m, 2*m - 4 = -2*z. What is the tens digit of 4\/(z\/((-927)\/6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 44.16708 to one decimal place.\nAnswer: 44.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -77*q. Let o(r) = 2243*r**2. Give o(g(z)).\nAnswer: 13298747*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -3327148?\nAnswer: 3327150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -22cbdf5 - -8?\nAnswer: -22cbded","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -27*v**3*x - 225*v**3 - 8*v*x wrt x?\nAnswer: -27*v**3 - 8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/712 and -19\/2.\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95739 is divided by 47525?\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qntntnnnnnttb. What is prob of sequence qtt?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 409426*p + 2 - 7.\nAnswer: -409426*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -792? (a) 4 (b) 2\/9 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -347, -353, -359?\n\"Answer: -6*p - 341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 23*g**2 - 56664*g + 3. Let k(b) = -12*b. Determine q(k(n)).\nAnswer: 3312*n**2 + 679968*n + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of -3*m**4\/4 - 2*m**3\/3 + m**2 + 286*m. Calculate q(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 369 and 6.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 5*f**2 + 5*f - 14. Let m be k(2). Solve 4*y + 4*g - m = 0, y + 2*y + 12 = 3*g for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*56\/300)\/((-6)\/15)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 478 + -482. Which is the fourth biggest value? (a) 171\/4 (b) -4\/7 (c) 3 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 5*g**3 + g**2 + 2*g - 4*g + 4 - 4*g**3 - 11. Let i = 2 + 2. Is w(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1206109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17064 and 648.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-54)\/(-12)))\/(50\/(-15)).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-35))\/((-53)\/(38\/((-1368)\/(-84))))?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 10:51 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2210608.2 hours to days.\nAnswer: 92108.675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventy-two fifths of a millennium?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2663707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243 = -9*g + 8*g. Let b = 410 + g. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z**3 - 23*z**2 + 20*z + 12 = 0. Calculate z.\nAnswer: -2\/5, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ten ninths of a hour in seconds?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 52 (base 13) to base 7\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 56*h**2 + 115*h - 32. What is a(-58)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -32*u**2 + 8*u + 3. What is d(-1)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t = -66813 + 7395. Is t a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 613454 and -66.5.\nAnswer: 613387.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1197133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -72, -63, -30, 39, 156, 333?\n\"Answer: 2*l**3 - 5*l - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -110100011101101010110 (base 2) in base 9?\nAnswer: -3210170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 3*y**2 + 12*y - 5. Let h be w(5). Suppose -2*v + 0*v + 232 = h*l, -220 = -2*v - 2*l. Suppose -8*k = -86 - v. Which is bigger: k or 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2\/4 + 1119*v + 169719\/4.\nAnswer: -3*(v - 1529)*(v + 37)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 1122 - 5362 = f, -w + 3*f - 2158 = 0. Let p = -1464 - w. What are the prime factors of p?\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6844 at least -6845?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14023\/2 - 7012. Which is the closest to l? (a) -2 (b) -1\/14 (c) -0.3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5*(sqrt(99))**2*-1 - sqrt(22)\/(sqrt(4)\/sqrt(18))).\nAnswer: -2475 - 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2030320313 (base 4) to base 12.\nAnswer: -239b5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 683601?\nAnswer: 3, 19, 67, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -4*a**4 + 2*a**3\/3 - 19. What is the third derivative of m(z) wrt z?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 148295433 to the nearest 10000.\nAnswer: 148300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 504 - 327. Let q = -77 + b. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*c = -115*c - 12. Solve -4*m + c*f - 14 = f, 0 = m + 2*f + 1 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 22*r - 67. Let f(s) = -s**2. Give f(m(x)).\nAnswer: -484*x**2 + 2948*x - 4489","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (12 + 18\/(-3) + (-2 - -13)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3584)*-2)\/(1*sqrt(200)).\nAnswer: -16*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*p - 40 + 40)*(1 + 1 + 0)*(-2*p**2 + p**3 + 2*p**2).\nAnswer: -16*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000485756 rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 546419657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 642363 to the nearest integer?\nAnswer: 801","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8 + 4*c**2 + 8 + (3 - 3 + c)*(2*c - 5*c + 2*c).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 879780, 1759547, 2639314, 3519081?\nAnswer: 4398848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (14 + -5) - (3 + 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1125\/450)\/(570\/(-19)).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -528*h + 129*h - 44*h + 32782 = 0 for h.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92781.66 weeks to milliseconds.\nAnswer: 56114347968000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2 or 3183932?\nAnswer: 3183932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26*d**2*m**3 - 3*d**2*m - d - 11*m**3 wrt d.\nAnswer: -52*m**3 - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 316112 and 104.\nAnswer: 4109456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.08 and 297?\nAnswer: 23.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of u**4\/12 + u**3 + 3*u**2 + 4*u. Suppose 2*w = 5*w + 21. Let t(q) = -q**3 - 8*q**2 - 5*q + 9. Let b be t(w). What is r(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/112 and -71\/238.\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 516510477.\nAnswer: 3, 7, 241, 34019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of -8 - (-108)\/14 - (0 - (-205816)\/(-56)) and 392?\nAnswer: 29400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 - 9) + (8 - 2). Suppose u*y - 28 = -2*c - c, 0 = -y - 3*c + 20. Calculate the highest common divisor of 8 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 103*h - 30. Give u(0).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 470834 is divided by 63?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v - 1. Let m be i(2). Let l be (2\/m)\/((-2)\/(-3)). Let n(r) = r - 10. Let k(g) = -g + 8. Let d(s) = -6*k(s) - 5*n(s). Calculate d(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 11*w + 9)*(-3*w - 4*w + 4*w) - 4 - 2*w**2 + 4 + (2*w + 0*w - 4*w)*(2 + w - 2).\nAnswer: 29*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.51479 to 1 decimal place.\nAnswer: 11.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + 9. Let u(c) = 33*c**2 - 10*c**2 - y*c**2 - 10*c**2 + 3 - c. Determine u(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14008 and 136?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15526220?\nAnswer: 2, 5, 103, 7537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/35)\/((t\/((t*t\/t**(-10)*t)\/t)*t)\/t) assuming t is positive.\nAnswer: t**(384\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -13731410 (b) -1 (c) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10677 + 10680. What is the lowest common multiple of h and 978?\nAnswer: 978","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**2 - 40*s. Let q(f) = 2*f**2 + 10*f. Let y(z) = 4*q(z) + v(z). Let n(d) = 255*d. Calculate y(n(p)).\nAnswer: 650250*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5355)\/(-90)*(-1 - 3). Let a = s + 239. Solve 0*g = -g - a for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5533*c**4 + 26*c**2*z - 181*c*z - 34*c - 8 wrt c.\nAnswer: -66396*c**2 + 52*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -5*w + 5, 0*w + 5*w = p + 30. Let f = 99 + -97. Let u be (13 + -14)\/(f\/(-10)). Solve -w = -u*t - 0*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - (0 - (1 - 2)). Suppose 2*m + 5 = 5*v - 3*m, -2*v + 2 = 5*m. Let f = 0 - v. Put 2, f, p in descending order.\nAnswer: 2, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away -0.0932247?\nAnswer: -3.9067753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 220, 454, 690, 928?\nAnswer: 1168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28090 + 28089.89376. Round n to 2 decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 320 and 1281920.\nAnswer: 1281920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - k - 124 = 335, 5*s - 769 = 3*k. Let p = -672 - -691. What is the greatest common factor of p and s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + 0.01. Let r = p + 0.099. Round r to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) 165.2 (c) -0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -5*m**2 + 5*m + 1. Suppose 0 = 24*k - 26*k. Let v(w) = -2 + k*w**2 - 9*w + 4*w**2 + 5*w**2. Give 7*j(t) + 4*v(t).\nAnswer: t**2 - t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 12) to base 9.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 151, 143, 131, 115, 95, 71?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 54\/(-864) + 807774\/38368 - 21\nAnswer: -1\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 11 (b) -17\/4 (c) 27 (d) 2 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 2 + 0 + 13)*(-16*f - 34243 + 34263 + 22*f + 8*f**2).\nAnswer: 192*f**2 + 144*f + 480","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 3*v**2 + 2*v + 3. Let t be o(-2). Let k(b) = b**2 - 4*b + 4. Let x be k(t). Suppose -g - 1 = 2*s, 4*g = -4*s - x - 3. Is 0 > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 - 4.3?\nAnswer: -4.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbkk when four letters picked without replacement from {k: 6, b: 14}.\nAnswer: 91\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 63*q + 226. Let v be a(-3). Solve 0 = -5*p - v + 57 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 + 95. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*36\/32*-55*280\/(-3850).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -162 - 44. List the prime factors of p.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 209952 and 1056?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 3*g**5 - 1038*g**4 + 2031*g**3 + 11388*g**2 - 12384*g = 0?\nAnswer: -3, 0, 1, 4, 344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 13 = 42*o - 43*o, 0 = 3*o + x - 9 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12\/13 - -101\/39. Which is the biggest value? (a) -0.5 (b) z (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*a - 8*a + 14 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -1.1. Let b = l + -0.1. Is 1 at most b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -272*v + 96*v - 48*v + 86*v - 324*v to h + w*v and give w.\nAnswer: -462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (4\/1)\/((1176\/154)\/84)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6468 = -76*v - 6924 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, t: 5, e: 4, m: 4, h: 1}. Give prob of picking 1 h, 1 e, and 1 c.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {z: 14, b: 4}?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 n when four letters picked without replacement from nwnqnqq.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 20*m**4 - 2*m**3 - 21*m**2 + m**2 + 4*m**5 + 0*m**5 + m**3 - 3*m**3 = 0.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 42*y**2 + 31*y - 311. Let t be o(-41). Suppose 0*f + 36 = 4*f. Calculate the greatest common divisor of t and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -856.5 - -854.5. Which is the nearest to i? (a) -9 (b) 10 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 2:13 PM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 3*y - 4. Let c be z(-4). Suppose c = -0*q + 7*q - 644. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/2211494 and -27\/3538.\nAnswer: 64133326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6955496 is divided by 36226?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -4 + 2 - (2 - -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -330010333010 + -3?\nAnswer: -330010333013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/5 (b) -5\/4 (c) 1\/4 (d) 6 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 6*a**5 - 8*a**4 - 50*a**3 + 20*a**2 + 104*a + 48 = 0.\nAnswer: -2, -1, -2\/3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 242282 and 92?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 7\/3 (b) -1\/31 (c) 10 (d) 4 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -0.3 (b) 4 (c) -0.05 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22571*s = -22570*s - b + 4, -5*s - 1 = 2*b - 9 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 9*l + 9. Let x be g(-6). Let u(t) = -t**2 - 8*t + 3. Let z be u(x). Let q(m) = -m**3 - 5*m**2 + 7*m + 9. Let r be q(z). Solve y + r = 1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0020007 rounded to 4 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 136409?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 35\/14*(1 + 19\/5). Which is the fourth smallest value? (a) 0.3 (b) n (c) -5\/4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 5*c - 52 - 123, -2*c + 2*b + 74 = 0. What is the remainder when 93 is divided by c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596436.9 rounded to the nearest 100?\nAnswer: 596400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 3*p**2 + 0*p)*(74 - 130 - 77).\nAnswer: -399*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - 0) + -3*1. Let p = 33 - 98\/3. Which is the smallest value? (a) z (b) -1\/5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 5*w**2 + 74*w + 303. Give k(-4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-5 + 5 - -5) - -1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**2\/5 - 9173792*b\/5 + 1834758 = 0 for b.\nAnswer: 1, 4586895","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000100738482 rounded to six decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.1 + -4. Let u = -0.2 - -0.3. Let q = u + m. What is the smallest value in q, -1\/5, 0.3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47550 is divided by 3229?\nAnswer: 2344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(10)\/sqrt(20) - (sqrt(128)\/sqrt(4))**2)*6 + -2*sqrt(50) + (sqrt(2) - (sqrt(72) - sqrt(72)*2))**2 + 1.\nAnswer: -88 - 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x. Let k be o(0). Let p be (3\/6 + k)*-12. What is the units digit of p + (-9)\/(-3) + 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.187 or -0.17?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -539*t = -617*t + 724854. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24132, 48284, 72456, 96648, 120860, 145092?\nAnswer: 169344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15530.09mg in nanograms?\nAnswer: 15530090000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*b - 4*p + 3*p - 121 = 0, -225 = -b + 3*p - 110 - 142 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/3*(-8)\/20)\/(46\/69).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-14)\/(-2) + -8)\/1*-2. Calculate the greatest common divisor of r and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -2, 4, 1, -2059 in ascending order.\nAnswer: -2059, -2, 1, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -7944 divided by 3\nAnswer: -2648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*p**2 - 55*p**2 + 34*p**3 + 10*p**2 + 90*p**2.\nAnswer: 34*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3927.6 and 76213748.\nAnswer: 76209820.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 3*k + 41. Suppose -k = -3*c - 1. What are the prime factors of (1\/2)\/(c\/226)?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jij when three letters picked without replacement from {g: 1, j: 2, c: 1, i: 1, u: 1, y: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 y when three letters picked without replacement from {g: 1, x: 4, u: 1, y: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -331336?\nAnswer: 331342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21233 + 21587. What is the remainder when l is divided by 337?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 59 - 52 - 219\/30.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**2 - 320*h - 319*h + 639*h.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 187 and 5.48605.\nAnswer: 192.48605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1979983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(720) + -1 + sqrt(720))**2 - sqrt(720)) + 1 - (-2*(sqrt(500) + -1))**2*-4.\nAnswer: -380*sqrt(5) + 10896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 49\/5 of a decade?\nAnswer: 1176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 28, 2, 5 in increasing order.\nAnswer: 2, 5, 10, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -485200 rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14885921?\nAnswer: 31, 631, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3331 + 323 = -376*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2602311 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of m**9\/126 - m**6\/40 - 23*m**5\/15 - 21*m**2. What is the third derivative of a(h) wrt h?\nAnswer: 480*h**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 541356.4 litres?\nAnswer: 541356400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 74*i**2 + 0 + 10*i**3 - 4*i + 2*i.\nAnswer: 10*i**3 + 74*i**2 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.037 times 4?\nAnswer: -0.148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 0.3 (c) -181\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -312*a**3 - 368*a**3 - 231*a**3 + 173*a**3.\nAnswer: -738*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -1\/12*x**3 + 1\/4*x + 6 + 0*x**2. Factor k(j).\nAnswer: -(j - 1)*(j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, 209, 4 in increasing order.\nAnswer: 4, 43, 209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*n = 286*n - 173*d + 172*d + 3102 - 12756, -d = -2*n + 78 for n.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4*v = 146, -75 = 6*h - 7*h + 4*v. Sort 6, -19, h.\nAnswer: -19, 6, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, x: 4, m: 8}. Give prob of picking 4 x.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = -2*f + 2*k + 30, -2 = -f + 4*k. Let h = 28 + 12. Calculate the greatest common factor of h and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -8, -11, -16, -23?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 479720254 to the power of 1\/2, to the nearest integer?\nAnswer: 21903","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 24*l**3 - l**2 + 26*l - 15. Let o(c) = 8*c**3 + 8*c - 5. Give -13*o(w) + 4*v(w).\nAnswer: -8*w**3 - 4*w**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53.41026 nanometers to kilometers.\nAnswer: 0.00000000005341026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z - 10 + 60 = 0. Suppose z*t - 2560000 = 9*t. Round t to the nearest ten thousand.\nAnswer: -640000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*y + 10 + 6. Solve 0*s = -s + y for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) + sqrt(110) + sqrt(110)*-1*-5 - (sqrt(110) + (sqrt(110) - -2*sqrt(110)*2 - sqrt(110))))\/(1*sqrt(10)*4*-6).\nAnswer: -sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 377.\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -16*u**2 + 4*u - 10. Let g(j) = j**2 - j + 1. Let c(w) = -b(w) - 6*g(w). List the prime factors of c(-2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 24 = -51. What is the highest common factor of 100 and j?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + t - 1 - 3, 0 = -3*o + 4*t + 5. Let h(m) = -2*m + o - 8 + m - 1. Give h(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7766 and 440.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14979 + -71?\nAnswer: -14a3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 3)*(28*q - 28*q - 72*q**3) + 2*q - 2*q**3 + 5 - 5.\nAnswer: -290*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**3\/4 + 111813*y**2\/4 + 3125480835*y\/4 - 3125592649\/4 = 0 for y.\nAnswer: -55907, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 825 divide 33899250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-32)\/30 + (-6)\/(-9). Let v = 2077 + -6388\/3. Let f = 53 + v. Which is the smallest value? (a) -0.5 (b) l (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/66 + (-84)\/(-22). Is 122 - -7 - d*1 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) + 1*sqrt(252)*1 + sqrt(252))\/(sqrt(18)\/(1*sqrt(2))))\/(sqrt(24)\/sqrt(6)*3 + sqrt(4)*-3*-1).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 636\/106 + (7972\/(-1400) - 18\/63)?\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**3*w*w**1\/w*(w**(-2))**31 assuming w is positive.\nAnswer: w**(-58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(98) - (sqrt(98) + sqrt(98)*2)) + sqrt(98))\/sqrt(7) - sqrt(14) - sqrt(56)*-2)\/(sqrt(14)\/(sqrt(12)\/sqrt(54))).\nAnswer: 2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 75936 and 480.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -4*y - 87. Let x = 36 + y. What is the highest common factor of x and 112?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -367*p + 397*p + 630 for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(76)*4)\/(-2*sqrt(324)).\nAnswer: 2*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 717950 rounded to the nearest 10000?\nAnswer: 720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 12*z - 2. Determine s(14).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 45\/(-6)*40\/(-6). Suppose -2*j + 4*j + 106 = 4*m, -4*j - t = -2*m. Suppose 0*a + 8 = 2*a + 2*o, -2*o - m = -3*a. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) 3 (b) 2 (c) -5\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/27 + 18\/(-81). Suppose f = -z - z + 7934. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1.4 (b) 2 (c) -1 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42269594867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1748 + -460?\nAnswer: 1288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 9324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2019984?\nAnswer: 2, 3, 42083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -89. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 602473047 to the power of 1\/4, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-18))\/(35\/630)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26245237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003703833 to five dps.\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 121352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12763464 divided by 32.\nAnswer: 1595433\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*h**3 - 125*h**3 - 5 + 5.\nAnswer: -199*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 24*w. Let h be i(10). Calculate the greatest common divisor of 30 and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence luh when three letters picked without replacement from uhl?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 10:30 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 10*z + 115. List the prime factors of u(17).\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of 0*w + 0 - 10\/3*w**3 + 37*w**2 + 17\/4*w**4. Is i(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 12950096\/15 and 863339 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 3*s**2. Let j be 7\/7 - (-2)\/1. Let r be q(j). Solve -o + r*o = 3*n - 2, 2*o - 3*n - 13 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2900288*c**5 + 4161016*c.\nAnswer: -58005760*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 31 = -5*b, -138*b - 5*s = -134*b - 32 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -24522.\nAnswer: -1\/24522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-63)\/(-36))\/((-2)\/8). Is (j + -291)\/(-2 + 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - 27. Let p = 35.8 + u. Which is the second biggest value? (a) p (b) -3 (c) -0.1 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1603777 and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*k + 26550 = 181*k + 15*k. Let z = 312 + -212. What is the highest common divisor of z and k?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102288894?\nAnswer: 2, 3, 19, 897271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45 and 210?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 5*n - 10, 3*u + 2*n + 14 = 33. Solve -1\/2*s**4 - s**u + 0*s + 0*s**2 + 0 = 0 for s.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 8*c**2 - 6*c + 10. Let v be g(-7). Suppose 2*m = w - 12, -w + v*m + 15 = -2*m. What is the smallest common multiple of w and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*n + n + 5*n + 5*n + 4*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-810)\/78*(-36)\/(-60) - (-14 - -7)?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (7 + -6 + -3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - (48\/(-10) + (-60)\/50). Let k(q) = 6*q - 9. Let y(v) = 7*v - 9. Calculate g*y(l) - 6*k(l).\nAnswer: -l + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -573*d**3 + d + 586*d**3 - d.\nAnswer: 13*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/4 - 209\/(-220). Let w = -137\/7 - -2315\/119. Which is greater: d or w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -2232?\nAnswer: -2232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lfif when four letters picked without replacement from liffi?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/360 and -63\/368.\nAnswer: 16560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5154 or 5153?\nAnswer: 5154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 89 - 61. Let o = y + -27.5. Let v = -11 + 15. Which is the closest to -1? (a) v (b) o (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 189 - 189.508. Let r = o + 93.108. Let q = 93 - r. Which is the smallest value? (a) 7 (b) q (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6455 - 11815 = 1827*f for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -110405 + 2198463. Let u = 2088086.00013 - o. Let x = 28 - u. What is x rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 20498\nAnswer: -1\/10249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-48)\/(-56))\/(-1 + (8 - 4)). Which is the closest to x? (a) 0.4 (b) -4 (c) 7\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -352131471 by -38271.\nAnswer: 9201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -296.161 plus 35449?\nAnswer: 35152.839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -4527051800 to the nearest one million.\nAnswer: -4527000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15663 less than -10876.996641?\nAnswer: -10877.153271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -2*c**3\/3 + 5*c**2\/2 + 7*c - 47. Suppose -3*l - 6 = 15. Let i(s) = 3*s**2 - 7*s - 10. Determine l*b(x) - 5*i(x).\nAnswer: -x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = -176*s + 184*s. Let x be 14\/s*195\/(-10). Solve -x*y + 6 = -11*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 11 - 1)*(r**4 + 8*r**2 - 8*r**2 + 3*r**4 - 2*r**4 + 0*r**4 + (2*r**4 + 0*r**4 - 3*r**4)*(1 + 1 - 3) + 2*r**4 - 1 + 1).\nAnswer: -55*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37236 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -18*x - 12. Give j(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -4*d + 57, -30 = -3*d - 4*l + 19. Solve 0 = -d*p - 41 - 19 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -2*v + 7. Let c(q) = -q - 1. Let f(o) = o**2 - 10*o - 4. Let a(b) = 3*c(b) - f(b). Let z be a(v). Is z bigger than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 5) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.8 (b) -2\/9 (c) 4 (d) 2601.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 8*j + 15212 = 4*m, -5*j = -4*m + 15206. List the prime factors of m.\nAnswer: 2, 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -54, 2, -1 in ascending order.\nAnswer: -54, -1, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 601114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-38)\/(-2) - (4 - 5). Let z be (6\/(-1))\/((-30)\/a). Suppose 2*v - 358 = -2*v + 2*c, 364 = z*v + 4*c. Calculate the remainder when v is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m**5 + 116590*m**4 + 466145*m**3 - 3147200*m**2 + 4429580*m - 1865120 = 0. Calculate m.\nAnswer: -23314, -8, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-7)\/(j*j**(-1\/6))*j**(1\/15)\/j**11)**(-12) assuming j is positive.\nAnswer: j**(1126\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from faikifooiio. What is prob of sequence afoo?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -12d511b9?\nAnswer: -12d511b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 3*m + 4. Let f(n) be the third derivative of 0*n + 5\/6*n**3 - 1\/8*n**4 - 1\/60*n**5 + 0 - 2*n**2. Let q be f(-5). Calculate k(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 6:05 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 62*i**4 - 50476*i**3 + 88235245.\nAnswer: 248*i**3 - 151428*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 2*r = 375 - 355, -35 = 5*b - 17*r for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 81518 + -35327. Is 53 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 3 = -0. Let x be (-8)\/(n*-2*1). Suppose -3*k = -2*q + 79, 2*q + x*k = 3*q - 52. Calculate the greatest common factor of q and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 347*w - 347*w - 14*w**2.\nAnswer: -14*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((-2*sqrt(130))\/sqrt(10) - sqrt(78)\/sqrt(54)) + -1 + 5)**2.\nAnswer: -56*sqrt(13)\/3 + 781\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 911.3749 days to microseconds.\nAnswer: 78742791360000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205002718 is divided by 208.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - -13) + -2 + 15 + -6 + -29.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(400) + (sqrt(32)\/sqrt(200) - sqrt(4)))\/((sqrt(10) + (sqrt(490)*-1 - sqrt(10)))\/(sqrt(5)*2*-6)).\nAnswer: 2952*sqrt(2)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*s**2 + 959955*s = 0. What is s?\nAnswer: -191991, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -5 - r**2 + 8 - 16*r + 8. Let h be 3*-7 - (-42)\/6. What are the prime factors of u(h)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3239.477l?\nAnswer: 3239477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1517301470?\nAnswer: 2, 5, 47, 1709, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.03 greater than or equal to 10.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4557 - -4556.8. What is the nearest to c in -3\/2, 2, 0.34?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 + -26. Let b = -182.588 - 0.412. Let w = 184 + b. What is the fourth biggest value in y, w, -0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -8. Suppose -2*f - 4*u = 20, f + 0*f + 4*u + 20 = a. Suppose f = 5*x + s - 97, -4*x - 3*s = -12 - 59. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 6760.362 nanoseconds?\nAnswer: 0.0000001126727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -21*(-6)\/12*(-11610)\/1505\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3710, 3698, 3686, 3674, 3662, 3650?\nAnswer: 3638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 6*z**2 + z - 2. Let h be c(-6). Find the common denominator of -61\/4 and (1 + 26)\/(-1 - h).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/1)\/(-15))\/((-3)\/(-9)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven quarters of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -78*p**3 + 1 + p + 3*p**2 + p**2 + 79*p**3. Determine i(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0023403925 rounded to six dps?\nAnswer: -0.00234","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 4*u - 0*u. Let d be (10\/(-3))\/((-2)\/(-6)). What is the remainder when u is divided by d\/(-6)*(-6)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 7609*j**2. Let m(v) = 26*v. What is f(m(b))?\nAnswer: 5143684*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 5554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 take away -1219?\nAnswer: 1219.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 442529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6757, 7824, 10741, 16432, 25821?\n\"Answer: 154*i**3 + i**2 - 14*i + 6616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + 0 + sqrt(405) + (sqrt(5) - sqrt(180)*-2)).\nAnswer: -66*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-15)\/(d\/(d\/d**32))*d**30\/(d**(-5\/6)\/d) assuming d is positive.\nAnswer: d**(-91\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4988 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.06 + 0.01. Let h = o + 1.05. Let k = -0.6 + h. What is the biggest value in k, 3, -1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48455248 to the power of 1\/2, to the nearest integer?\nAnswer: 6961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*q - q - 5*q)*(2 - 2 + 3) - 2*q + q - 2*q)*(0*q**4 + 0*q**4 + q**4).\nAnswer: -9*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1300 + 1299. What is the nearest to -2 in 4\/5, z, 2\/43, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(-5)\/20*(-52)\/13?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284*w + 5 = -289*w, 3*g - w = -2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-4) - 2\/4. Let v = 1 - j. Solve k = v*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that f**2\/9 + 93*f - 562 = 0.\nAnswer: -843, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 61 + (-2084 - -2042) + -72?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 465434, 1861763, 4188984, 7447103, 11636126, 16756059, 22806908, 29788679?\nAnswer: 37701378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 17*y + 18. What is the units digit of q(19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81, 164, 249, 336, 425, 516?\nAnswer: 609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*m + 113. Let w be (-104 + 0)*(-3 + m\/(-12)). Calculate the highest common factor of 260 and w.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -241*u. Let n(t) = 231*t. Determine o(n(y)).\nAnswer: -55671*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 247515325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/17? (a) 3558 (b) -3\/2 (c) 84\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6 or 103\/21?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 107981.661 rounded to the nearest 10?\nAnswer: 107980","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2 = 4*x + 2, x + 3*q + 13 = 0. Let t be -2 + 4 - 1 - x. Let b be 3\/(-15)*t\/4. Is b less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(192)*-1).\nAnswer: -sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/3 and -23.51 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1300))**2*-4 - 2*(sqrt(52) + sqrt(104)\/sqrt(2) + sqrt(13))) + 3.\nAnswer: -5197 - 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 5*j**2 + 4*j - 6. Let a be b(6). Let g(p) = -34567*p**2 + 15*p - 22. Let x be g(a). Round x to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13903300 to the nearest one million.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + 14*d - 8. Is 8 a factor of c(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k - 1. Let r(j) = -5*j + 1. Let q be (-1)\/(-13*(-10)\/130 + (-1 - -1)). Calculate q*r(a) - 3*i(a).\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/8 of a millimeter?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5b7b0 (base 16) to base 3.\nAnswer: 201000222221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, m: 12, h: 3, v: 1, g: 1}. What is prob of picking 1 u and 1 g?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(1\/4))**(-38))**(8\/7) assuming n is positive.\nAnswer: n**(-380\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8147*p + 889.\nAnswer: -8147","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -4*z. Let k(l) be the first derivative of -1\/2*l**2 - 8 + 3*l. Let x(d) = -d + 2. Let h(a) = -4*k(a) + 6*x(a). Calculate h(t(w)).\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15972540?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 10 = q, 5*b = -3*q + 120. Let t = b - 7. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 415 = -3*v, 4*v - 202 = 4*p + 398. Solve v = -9*s + 109 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.7 and -1.67.\nAnswer: 1.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k**(2\/7)*k)\/k)**(8\/5))**(-27))**(3\/2) assuming k is positive.\nAnswer: k**(-648\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 301, 576, 851, 1126, 1401, 1676?\n\"Answer: 275*i + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 - -0.11. Let f = -3.99 - x. What is the closest to -1 in f, -2\/7, -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o - o**2 - 3*o**3 + 4*o**3 + 11 + 2*o**2 + 0*o**3. Let j be b(0). Let q be 3\/7*(-12 + j). Sort -1\/2, q, 0 in decreasing order.\nAnswer: 0, q, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43 - 19. Let s be 1\/(-6) - (-124)\/m. Solve -g + s*g = -20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31 - -33. Suppose 0 = 2*n - o*v - 82, 5*v = n - 8 - 25. What are the prime factors of n?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v + 1. Let j be z(-1). Let a be (-3)\/(-9) - (-224)\/21. Suppose -16 = -a*f + 7*f. Solve -f*k = r - 11, -k + 0*k + 6 = -j*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -10, -137, -16 in descending order.\nAnswer: -1, -10, -16, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 130159717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-4*4*(sqrt(70) + (sqrt(70)*1 - sqrt(70))))\/((5*(sqrt(80) - -1*sqrt(80)))\/(-2*sqrt(32))).\nAnswer: 64*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*m**3 + 17*m**3 - 4*m**5)*(4 - 2 - 5)*(2 + 1 - 5).\nAnswer: -24*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -137 - ((102 - 85) + -53)\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6879101.\nAnswer: 17, 113, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 - -31. Let c = -0.38 + -0.02. Let x = 0.2 + c. Put -5, x, b in descending order.\nAnswer: b, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1820 divided by -4\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 38, 43, 52, 65?\n\"Answer: 2*q**2 - q + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 27 = -4*t, 2*t - 26 = 4*g - 0*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5 + (sqrt(1216) + sqrt(1216) + (sqrt(1216) - (sqrt(1216) + -1)) - sqrt(1216)))**2.\nAnswer: 576*sqrt(19) + 7512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 244125687, 244125689, 244125691, 244125693?\n\"Answer: 2*a + 244125685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of w**8\/280 + w**7\/147 - w**6\/420 - w**5\/210 + 3*w**3 + 8. Let d(o) be the third derivative of p(o). Solve d(s) = 0 for s.\nAnswer: -1, -2\/7, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3*s. Let o(m) = -2. Let v(u) = u - 9. Let b be (2\/5)\/((-8)\/(-40)). Let j(q) = b*v(q) - 9*o(q). Determine j(x(i)).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 2 + 5)*(4 - 83*w - 4 - 137*w) to v*w + b and give v.\nAnswer: -440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = h - 6*h + 27, 3*h + 5*g - 23 = 0. Calculate the greatest common divisor of 4 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 5 (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 161 and 81.\nAnswer: 13041","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, t: 5}. What is prob of picking 4 t?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 80 from -28588045.\nAnswer: -28588125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) + 4*(3*sqrt(136) + sqrt(136)))\/(sqrt(200) + sqrt(200)*-1 + sqrt(200) - sqrt(8)).\nAnswer: 17*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r + 5*r - 5*r)*(3*r - 2*r - 5*r) + (-2*r + r - 3*r)*(4 - 4 + 2*r).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 598029?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-2*(2 + (sqrt(132) + sqrt(132) + sqrt(132) + 2*(sqrt(132) - sqrt(132)*2))\/(sqrt(432)*-2 - sqrt(432))).\nAnswer: -sqrt(11)\/3 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3204662, 3204672, 3204692, 3204722, 3204762, 3204812?\nAnswer: 3204872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 9 + -8 + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/(-3)*4\/14. Let c be (-1)\/25*3\/(-1). Let m = c - -16\/75. Do r and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12599 = -21*z - 3443. Calculate the remainder when z is divided by 88.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of 1\/3*q**2 + 0*q**4 + 4\/15*q**5 - 1\/9*q**6 - 5 + 0*q - 4\/9*q**3. Solve o(m) = 0 for m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 653587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*w = 61*w. Let c(j) be the third derivative of -1\/30*j**5 - 6*j**2 + 0*j**4 + w*j**3 + 0*j + 0. Let n(f) = -5*f**2. Give c(n(z)).\nAnswer: -50*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6732*a**2 - 7*a**3 + 3371*a**2 + 3361*a**2.\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -5*h - 37. Suppose 0 = -h*q + 2*q + 10, -4*q = 5*z - 18. Suppose 0 = 3*a - 4*r + 16820, z*a - 5*r + 2254 + 8971 = 0. Round a to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 3. Suppose 2 = j, -3*w + j + 376 = -x*w. Is 18 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 22620.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 5*m - 89. Let t be i(18). What is the third smallest value in -1\/3, 2\/9, 0.27, t?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 7:42 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -0.3, 874 in descending order.\nAnswer: 874, 4, 2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -384.8 + 385. Put 11\/6, 1, 7, y in ascending order.\nAnswer: y, 1, 11\/6, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*n - 47 = 106 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 2*r - 37, 4*c = -3*r + c + 60. Suppose -r*p + 4835 = -12*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -20 - 9) + -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56512?\nAnswer: 2, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**2 + r - 23. Let p be l(-5). Find the first derivative of p - 95*k**2 + 77*k**2 + 88*k**2 wrt k.\nAnswer: 140*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692998264 divided by -904?\nAnswer: -766591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1034 equal to -3103\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5378785 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 48\/13019477 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - -2)*(2 - (8 - 3)). Let o = t - -5. Let c(d) = d**3 + 6*d**2 + 4*d + 4. Calculate the least common multiple of 8 and c(o).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1170708 - 1681?\nAnswer: -1172500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from liydffiyaiy. What is prob of sequence alyd?\nAnswer: 1\/2640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 h when two letters picked without replacement from {h: 3, z: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 64\/5*b**3 - 4*b**4 + 0 - 76\/5*b**2 + 2\/5*b**5 = 0. Calculate b.\nAnswer: 0, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 132*b**2*o - 6285*b**2 - 199*o - 18 wrt o?\nAnswer: 132*b**2 - 199","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -64720?\nAnswer: -64719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 490 is divided by 157?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/23, 0.348, -1\/3, 77?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46 - 41. Suppose -m*f = -11*f + 18. Suppose a = -0 + f. Solve v - 3*v - 1 = p, -11 = -a*v + p for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/36*(-9)\/6.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9285*m + 3789 wrt m?\nAnswer: 9285","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 15*z**2 + 3*z + 2. Let r be d(-2). Let n be (0 + (-4 - -5))\/1. Let m be n - -2 - (-13 + 9). Calculate the highest common divisor of m and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5, -4\/7, -4, 3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 109, 402, 981, 1942, 3381, 5394, 8077?\nAnswer: 11526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {u: 5, k: 8, m: 4}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**3*k*k*k)\/(k\/k**6))\/((k*k**(-7)*k)\/k**8) assuming k is positive.\nAnswer: k**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14403 and 50832988.\nAnswer: 4801","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 10*t**2 - 3*t - 25. Let i be l(-8). Let a = -49 - i. Suppose -78*d = -a*d. Sort 0.04, 1, 4, d in descending order.\nAnswer: 4, 1, 0.04, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -5*m + 40. Let f be p(6). Solve 4*g + f = -6 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 72 = -0*y. What is the smallest common multiple of 38 and y?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 49102827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4*u + u + 2*u)*(1 - 3*u**2 - 1) as j + f*u**2 + v*u**3 + z*u and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**2 + 284*j + 370. Let h be g(143). What is the highest common factor of 984 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*h + 2*s - 3, -2*h - 6 = 3*s. Suppose -l = h*r + 4*l, 3*l + 14 = r. Which is the third smallest value? (a) 2 (b) -1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2695 a factor of 196605640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + -2 + -5 + 1229 + -1. Suppose -10*l + 6*l + w = 0. Let p be l - ((-15)\/(-5) + 1). Calculate the highest common factor of 43 and p.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 z when four letters picked without replacement from {v: 1, z: 11, f: 3}.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -740*w**3 - w**2 - 5*w + 4. Suppose -11 = -9*k + 16. Let r be o(k). What is r rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 3*b + b)*(2*b - 2 + 0*b - 2)*(-2*b - 13 + 13).\nAnswer: -8*b**3 + 16*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**5 + 6*q**5 - 2*q**5 + (3*q - q - 5*q)*(-2*q**4 - q**4 + 4*q**4).\nAnswer: -q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -456 - -912365?\nAnswer: 911909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007485 rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -5*b**2 - b + 3. Let n(h) = -4*h**2 - h + 2. Suppose i - 4*r + 5 - 2 = 0, -4*i - 12 = 5*r. Determine i*u(q) + 4*n(q).\nAnswer: -q**2 - q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1052 + 112*r**2 - 1052 + 2*r.\nAnswer: 112*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 112\/11 - 549\/55. Let x(z) = z**2 + z - 1. Let m be x(2). Suppose -m*s = -3*s - 10. Which is smaller: s or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13982916?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 - 14 = 9385*n - 9378*n - 3*j, -7*j = -63 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95228 is divided by 13196?\nAnswer: 2856","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 483 - 387. Calculate the greatest common divisor of f and 256.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60937 is divided by 255?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 < 1\/40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3088436573 to the power of 1\/2, to the nearest integer?\nAnswer: 55574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-3*(sqrt(15) - 1*sqrt(15)))\/((sqrt(5) - (sqrt(5) - sqrt(15)\/(sqrt(3)*-2))) + -5*sqrt(20)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 40 = 87*b - 83*b, 2*v - 4*b = -16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m + 5. Let w(t) = -t**2 + 10*t - 2. Let c be w(8). Let b = c - 18. Give u(b).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 30698892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-819)\/(-21)*1\/13\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.213791 rounded to two decimal places?\nAnswer: -11.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 351 from 1164.27404.\nAnswer: 813.27404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 361 and 96843.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 552613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1553 is divided by 383.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 260189, 260237, 260273, 260291, 260285?\n\"Answer: -c**3 + 55*c + 260135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 21*u + 34. Let k be a(-21). What is the hundreds digit of (k\/3)\/(10\/135) + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3\/19 + 43\/152. Let z = 0.1 + 0.86. Let i = 0.36 - z. Which is the biggest value? (a) i (b) 0.1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 7*r - 12. Let m be f(-3). Suppose 20791 = -j + m*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 3*o**4\/7 - 69*o**3\/7 + 39*o**2 + 1521*o\/7 = 0.\nAnswer: -3, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 40 - ((-3 - -1) + -2 + -2 + 1770 + -1768)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-6) + 6870\/18 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(8\/4))\/2\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 258666 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-4*(-3)\/12). Let j be 1*(k + 6 - 0). Solve j*r - 11 = 9 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n**3 + n**2 + n - 2. Let i(f) = -4*f**3 - 2*f + 2. Let z(a) = 4*i(a) + 5*q(a). Let w be z(4). Solve -5*s - 10 = 2*m, -w*m - 4 = 2*s + m for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 4)*(-2 + (-1725)\/(-825))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-7))\/(((-6)\/4)\/(18\/(-6)))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2.2 (b) -0.2 (c) 0.2 (d) -110\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 829 + -793 + -42 + -2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 545 and 3?\nAnswer: 1635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/71 and 8\/2059.\nAnswer: 2059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 4:50 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45200332 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -110 - -233. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 228757?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -1. Let x(y) = -2 + y + c + 5. Determine x(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 0. Let q = 0.1 - 0.11. Let t = q + -0.09. Which is smaller: h or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5137 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**5 + f**4*m**2 - 2*f**4 + f**2*m**2 - f**2 + 64*f*m**2 wrt f.\nAnswer: 120*f**2 + 24*f*m**2 - 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, -235, -671, -1271, -2029, -2939, -3995, -5191?\nAnswer: -6521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o - 1461*o**2 - 2*o + 1463*o**2 = 0 for o.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/2 - (-2 + 220497\/(-54)). Let l = v - 4085. Calculate the common denominator of l and 49\/150.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -g**5\/5 + 882*g**4\/5 - 871*g**3\/5 - 8802*g**2\/5 - 7048*g\/5 = 0.\nAnswer: -2, -1, 0, 4, 881","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -216 or -191?\nAnswer: -216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(-4) + 40 + -2. Suppose 0 = 4*t - x - 39. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*b + 2920 = 148*b for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-52)\/13 + 11\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 83052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**2 - 4*f + 7. Let k be z(-5). Let w(p) = p**3 + 24*p**2 + 24*p + 57. Let i be w(k). Let u = i - 29. Solve 2*t = 4*x - 12, -u*t + 11 = -9 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m**5 - 127*m**3 + m**2 - 58*m + 6 wrt m.\nAnswer: 20*m**3 - 762*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39392?\nAnswer: 2, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llulullll. Give prob of picking 1 l and 2 u.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 302454 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1611481 to 2 decimal places.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17266 (base 12) to base 7.\nAnswer: 165534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/69 and 41\/230.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/1235 - -13573\/14820. Let z(a) be the second derivative of -9*a + 1\/10*a**5 + v*a**3 + 0 - 1\/2*a**2 - 13\/24*a**4. Factor z(d).\nAnswer: (d - 2)*(d - 1)*(4*d - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c (base 14) to base 9.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 727450 and 18.\nAnswer: 6547050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*0.1509.\nAnswer: 0.3018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-18))\/(2\/(-12)). Let x be j - 1 - (2 - 5). Solve 3*z = 8 + x for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**0\/j)**(-18)\/(j*j**(-1)\/j*j)**0)**(6\/11) assuming j is positive.\nAnswer: j**(108\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 8 + 20. Suppose k + 2*w**2 + 108*w - 102*w + w**2 = 0. Calculate w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l**3 - 438*l**2 - 2133*l - 2538 = 0 for l.\nAnswer: -141, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -477413 (base 8) to base 15\nAnswer: -33715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 4*t + 150 + 97 = 0, -2*f = -4*t + 242 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of c**5\/20 + 7*c**4\/4 + 10*c**3\/3 - 5*c**2 - 100*c - 2. Let y be w(-20). Let s(u) = -u**2 - 8*u - 6. Calculate s(y).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/4 of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + sqrt(5) + 0 - (sqrt(20) + sqrt(320)))**2 - (sqrt(405) + -1 + -4)*1.\nAnswer: -9*sqrt(5) + 2030","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -71.758 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -433 from -7443.\nAnswer: -7010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -760*c - 37. Let s(i) = -253*i - 13. Let q(b) = -6*k(b) + 17*s(b). Is q(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, s: 1, q: 7}. What is prob of picking 1 s and 1 q?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2356 - 0.7644. What is the second smallest value in d, 6, 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of j**5\/20 + j**4\/4 - j**3\/6 + 3*j**2\/2 - 2*j. Let h be 12*3*4\/(-36). Determine i(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 - 18 - (30 + (-2 - (-9 - -2)))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ry when two letters picked without replacement from srgsyycsxycrc?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1145952?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -265*m + 26036. Calculate n(101).\nAnswer: -729","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.26 to one dp.\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 5 + 1)*(0 + 1 + 0)*(-116*r + 47*r - 75*r)*(1 - 6 + 2) to s*r + z and give s.\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 99816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 5*t + 5. Let g(s) = 341*s - 1. Let o(k) = 3073*k - 3. Let l(m) = 9*g(m) - o(m). Let y be (-1 + 4)*(-8)\/(-6). What is y*l(d) + 3*f(d)?\nAnswer: -d - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 5*p + 28. Let f(y) = -y**2 - 15*y - 51. Let w be f(p). Which is the biggest value? (a) -0.3 (b) w (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.56 - -0.04. Let m = z - 0.4. Sort 3, m, -3\/7 in descending order.\nAnswer: 3, m, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -8*t**2 + 5106*t - 3437442. Let l(b) = -6*b**2 + 5152*b - 3437442. Let g(u) = 2*c(u) - 3*l(u). Factor g(o).\nAnswer: 2*(o - 1311)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v\/(v**(-2\/9)*v))\/(v*v**(-2\/5)*v))\/((v*v**(3\/10))\/v**(2\/3)))**(-37) assuming v is positive.\nAnswer: v**(3367\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 305*t = 312*t. What is the second biggest value in t, 0.19, 0.3, -5?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*q = 69*q + 570. Let l = q - -289. Suppose -13 = -5*k - 2*v, 3*v = 3*k - 11 - 1. Solve -2*m + l = -o + k*m, -2 = -2*m for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 12.752.\nAnswer: 3.8256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0015842 rounded to 4 decimal places?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-78)\/48)\/13*3\/1?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 10120?\nAnswer: -10120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-25)\/v**(-2\/15) assuming v is positive.\nAnswer: v**(-373\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 25\/2 of a century?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/360*(2255\/(-40) - 8) and -7\/60.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 107*d**2 + 210*d - 538. Calculate m(-109).\nAnswer: 334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 855 and 1065?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/124 and -17\/140.\nAnswer: 4340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 1. Let i(u) be the first derivative of -7*u**3 + 17*u**2\/2 + 3*u + 3. Let m(d) = i(d) + 3*v(d). Find the second derivative of m(y) wrt y.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 6 = -4*k. What is the second derivative of -9*p**5 - 20*p + k*p + 9*p**5 + 16*p**5 wrt p?\nAnswer: 320*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 808331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*k = -80*k - 24600. List the prime factors of k.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b - 12. Suppose -4*u = -u, -4*v + 5*u - 20 = 0. Let k be w(v). Suppose 1\/6*q**4 + 3*q**2 + 10\/3*q + 4\/3 + 7\/6*q**k = 0. Calculate q.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12111000022212 (base 3) to base 11\nAnswer: -170a906","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 932611.\nAnswer: 29, 32159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 13*w**2 + 28*w + 23. Let k be f(10). Differentiate 2091*n**3 + 145 - 2091*n**k - 35*n**4 + 3*n**4 with respect to n.\nAnswer: -128*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4240\/24 + 1\/3 - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 19476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 7 - 11 - 13.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-2)*(-1 - -1). Let c(f) be the second derivative of 0 - 3*f**2 + 2*f + w*f**3 - 1\/12*f**4. Find the first derivative of c(m) wrt m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41c (base 14) to base 11\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n + 746*n**2 - 769*n**2 - 10 + 2*n + 3*n**3 - 6*n to the form l*n + q + r*n**2 + c*n**3 and give r.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j - 2. Let h be o(-5). Suppose h*y + 1 = 7. Find the third derivative of 3*b + 2*b**y - 3*b + b**5 wrt b.\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of 0*h + 3\/4*h**2 + 3\/8*h**4 + 30 + h**3. Factor o(t).\nAnswer: 3*t*(t + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z**3 - 17*z**2 + 11*z + 35. Let j be n(-6). Suppose 4*q + 35305 = j*h, 10*q = 4*h + 14*q - 28244. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zxzx when four letters picked without replacement from {x: 4, z: 7}.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 484552584 divided by 9?\nAnswer: 53839176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3*j + 9. Let w(u) = 3*u. Let a(d) = 4*d + 1. Suppose 3*g = g - 4. Let v(b) = g*a(b) + 3*w(b). Let t = 7 - 5. Determine t*i(z) + 9*v(z).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) -1234 (c) -96\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 2 - 2)*(-2 + 2 - 2*i + 2*i**3) + 2*i**3 + 2*i - 2*i to the form m*i + y + o*i**3 + d*i**2 and give o.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 16*n - 16. Give u(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, x: 1, h: 1, d: 1, q: 1}. What is prob of picking 1 d, 1 h, and 1 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g + 5*c - 83 = -51*g + 5*g, -4*g + 14 = 2*c + 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 118*g**2 - g + 62. Let b(x) = -353*x**2 + 2*x - 185. Let y(r) = 4*b(r) + 11*j(r). Find the second derivative of y(m) wrt m.\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ke when two letters picked without replacement from kke?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -32807435, -65614871, -98422307, -131229743, -164037179, -196844615?\n\"Answer: -32807436*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65065.5*0.115.\nAnswer: 7482.5325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1.21, -0.6742, 3\/5, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34757 is divided by 110.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -538*v + 565*v = 588*v + 34782 for v.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, 41.3, 0.27, 2\/5 in descending order.\nAnswer: 41.3, 2\/5, 0.27, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -354485\/24 - -14777. Let t = 121\/8 - v. Find the common denominator of t and 17\/7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 3623 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168*a + 1178 = 169*a. Does 31 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*r**2 + 9*r**2 + 3*r**2)*(-2*r**3 + r**3 - r**3).\nAnswer: -64*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 10. Let p(q) = q**3 - q - 2 + 4*q**2 + 9 - 4*q. Is p(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 * 370622.\nAnswer: 259435.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 606*u**2 - 7143*u - 9112. Calculate i(-594).\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4928\/(-3696))\/((-4)\/(-75)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(5*a**2 - 3*a + 3*a) + (-2*a - a + a)*(0*a - a + 0*a) + 2*a**2 + 48 - 83 + 43.\nAnswer: -6*a**2 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, k: 2, e: 2, c: 9}. What is prob of picking 1 o and 2 k?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 + 43. Let w = d - 18. Solve -g = 2*j - j - 6, w*g + 6 = 4*j for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8823705187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 146, 3 in decreasing order.\nAnswer: 146, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/5 (b) -4 (c) 3 (d) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = f + 3*f - z, 0 = f - 3*z + 13. Let d be (-214)\/(-14) - f\/(-14). Suppose 3*y - 3 = 3. Solve 0 = -s - y*s - d for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(64)\/(sqrt(4)*1))\/(sqrt(32)*3).\nAnswer: sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -2*l + c + 18, 4*l + 2*c - 18 = 0. Suppose 3*h - 5*p = 2*h + l, 4*h + 3*p - 24 = 0. Suppose -h = -t + 8. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 11*q**2 - q - 1. Let s be u(11). Let a be (s\/(-2))\/(12\/32). Suppose j - a = -2*h + 9, 28 = j + 3*h. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) -2\/9 (b) 13\/4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12918478, 12918474, 12918468, 12918460, 12918450, 12918438?\nAnswer: 12918424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11130023 - -200?\nAnswer: 11130223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 29.\nAnswer: -9\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 12) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138221 is divided by 652.\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -0.081\nAnswer: -0.0324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 67492773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -r**4\/2 - 2*r**3\/3 - r**2 + r. Let k(i) = 3*i - 2529565*i**2 + 1264789*i**2 + 1264781*i**2 + 2. Determine -5*k(a) - 4*v(a).\nAnswer: -a**2 + a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2 - 6 + 1 - n. Let i be (-38)\/(-57)*(-6 - 0). Determine y(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118656?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.087 + -0.087. Let f be (-2)\/6 + (-7)\/6. Suppose -4*q + 0*q = 2*c, 5*c + 2*q - 8 = 0. What is the closest to b in -4, c, f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 0*j + 4*j = 13, 21 = -3*m - 2*j. Suppose 55*r - 1596 = 650*r + 203*r. Put -7, m, r in decreasing order.\nAnswer: r, m, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11182540 divided by -3730\nAnswer: -2998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**2 - 13*c - 5. Determine v(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 22. Let b(z) = -z**3 + 5*z**2 + 7*z - 6. Suppose 4*l = 8, -14 - 14 = -3*s - 5*l. Let c be b(s). Solve f + w = 4*f + 4*k, c = -2*f - 4*k + 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14081 (base 12) to base 16.\nAnswer: 6c61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 4 = 0, -5*v - 30 + 26 = -t. Which is smaller: t or -67\/81?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -10 + -1 + 2\/(-2). Is -4*(1 - (-123)\/o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14)\/10 - (-16)\/40. Is ((126\/8)\/9)\/(r\/(-4)) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2)*y)\/y*y**(1\/4)*y*(y*y**1)**(11\/6))**(-43) assuming y is positive.\nAnswer: y**(-1505\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 441048 and 65688.\nAnswer: 3087336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -415763\/5010 - -285\/334. Let n = -82 - i. Let s = -0.8 + 0.4. What is the second smallest value in n, s, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -19*a**2 + 2595*a - 1488. What is c(136)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-57)\/(-9) - (-4)\/6. Suppose -3*s + 2*w - 7 = g, 3*w = 3. Let z(v) = -9 - 5 + 20 + v. Calculate z(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/10 of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 424 + -379. Suppose f*i = 204952 - 79987. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**4 - 3164927*f**3 - 9494775*f**2 - 9494773*f - 3164924 = 0. What is f?\nAnswer: -3164924, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(1\/2))**(4\/15)*((p**(-2\/5)*p)\/p)**25*((p\/(p**3\/p))\/(p*p**(-3)))\/(p**(-2))**46 assuming p is positive.\nAnswer: p**(417\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -192890 and -0.4?\nAnswer: 192889.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 464 - 460.06. Let d = -0.06 - v. Let q = -1.81 + 1.71. Which is the closest to -1\/3? (a) q (b) -2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 397674 + -0.13\nAnswer: 397673.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -34? (a) 3 (b) -2 (c) 4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 7*i - 4*i + 24 = 0, 4*d - 16 = 5*i. Let k = -1 + d. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10766, -21401, -32036, -42671, -53306, -63941?\nAnswer: -74576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + 0 + (-35)\/15. Which is the second smallest value? (a) m (b) 1\/5 (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 17 - 35 = 0. Let k = c - -19. Let t(q) = 2*q - 8. What is t(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -40 - -616653?\nAnswer: 616613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -x**5\/20 + 19*x**4\/12 - 31*x**3\/6 + 11*x**2 + 120*x. List the prime factors of z(14).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1005 + 1007. Let y = -3 - -8. Suppose -1453 + 375 = y*q + m, -m = -f. What is q rounded to the nearest 10?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 + (5 - 6) + 9\/((-135)\/50). Let h(c) = -c**2 - 6*c + 10. Let i be h(-7). Sort j, -3\/4, i, -0.07 in decreasing order.\nAnswer: i, j, -0.07, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 + 6*b - 3*b - 30.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240)*1 - sqrt(240))\/sqrt(10) - sqrt(24) - (sqrt(96)\/sqrt(4) + sqrt(24))*-6)\/(-3*sqrt(128) - sqrt(32)\/sqrt(4)*4) + -2.\nAnswer: -2 - 11*sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(252)*2*4 + (((sqrt(175) - sqrt(7)) + 0)**2 - 5*(sqrt(112) - sqrt(7))**2))*4.\nAnswer: -960*sqrt(7) - 812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14832)\/(-266976))\/(-1 + 19\/9).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**2. Let a(n) = -80*n - 55. Let g(y) = 2*y + 2*y - 2*y + 2 + y. Let m(v) = 2*a(v) + 55*g(v). Give t(m(r)).\nAnswer: -50*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3052860 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27165?\nAnswer: 3, 5, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 0*q - 20 = -5*g, 0 = -g + 2*q + 18. Let r = g - 4. Solve -2*a = -3*p - r + 3, p = 5*a - 22 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -281 - -283. Let d(k) be the first derivative of 0*k - k**3 + 3\/2*k**y + 5. Factor d(s).\nAnswer: -3*s*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2344, 4, 1, 5 in ascending order.\nAnswer: -2344, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(68)*1 + 2 + sqrt(68) + (-2*sqrt(68)*-1)**2 + -1 + 0.\nAnswer: 4*sqrt(17) + 274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and -14592464.\nAnswer: -14592459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 4:26 PM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 330 and 660.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h - 0*h, -83*h + 80*h + 1 = -c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of h**7\/105 + 5*h**4\/24 + h**3 - 11*h**2. Let c(w) be the first derivative of z(w). Differentiate c(o) with respect to o.\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 496 = 3*f, 217 - 1022 = -5*f - z. Let g = 343 - 325. Calculate the greatest common divisor of g and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in nineteen quarters of a milligram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 6*a**3 + 4\/7*a + 2\/7*a**2 = 0. Calculate a.\nAnswer: -2\/7, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21130134 - 222?\nAnswer: 21125512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 + (36 + -24 - -16) + -40?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -3*c**2 + 720*c - 6900 = 0.\nAnswer: 10, 230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - 0) + 2\/10. Let k = 286 - 282. What is the fourth biggest value in k, b, 0.5, 1\/10?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -205 - -193. Let z = -15.5 + 16. Sort z, x, 2\/9 in decreasing order.\nAnswer: z, 2\/9, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -2. Let h = 413.9 + -385. Let m = -29 + h. Which is the closest to 3? (a) m (b) 5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rjjjpjjjrjpy. Give prob of picking 2 p and 2 j.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/((-14)\/2)*14\/(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3 - 3411392*p**2 + 27291232*p - 54582528.\nAnswer: -2*(p - 4)**2*(p + 1705704)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 114589 and 8436?\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bppaprpgp. Give prob of picking 1 a, 1 r, and 1 g.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -f + 30, 4*f = 5*f + 3*t + 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2334093047?\nAnswer: 11, 13, 17, 960137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 4935.\nAnswer: 29610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/(-3*3*sqrt(6)))**2.\nAnswer: 13\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3891607.\nAnswer: 113, 34439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -2*t. Suppose -p = 2*p + 4*i - 5, -5*i + 30 = -p. Let v = t + p. Which is the smallest value? (a) -2\/13 (b) v (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1663*a - 836*a - 812*a)*(-2*a**2 + 2 - 2) in the form p*a**3 + q*a + c + f*a**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/4*6*-2. Let r(z) = 2*z**3 - 2*z**2 + 4*z + 5. Let q(b) = -b**3 - b**2 + b - 1. Let x(f) = 3*q(f) + r(f). Calculate x(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) + sqrt(468)*-3 + -1 + sqrt(468))**2 - (-3 + sqrt(1300)*3)**2.\nAnswer: -11240 + 192*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o + 16 + 4 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10011101010 (base 2) to base 5\nAnswer: 20013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4 - 4)*(15*m**3 + 10*m**3 + 5*m**3)*(3*m - 4*m + 3*m) to r*m + c*m**2 + x*m**4 + l*m**3 + g and give x.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 141167719 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*r - 151*r + 3483 = -794 for r.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r + 6. Let u be s(6). Let z(x) = u*x - x - x + x. Let c(w) = -2*w. Give z(c(y)).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 982053 is divided by 87?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v + 23 = -13 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 2*f - 2, 14 = -3*c + 2*f. Let s be 4\/(-16) - 29\/c. Solve z - 3*i = -4, -5*z + s = -4*i - 6 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 476 divided by 238.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12088617 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.652 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -124*w**2 + w**5 - 2*w**6 - 620*w**2 - 900*w**2 - 2*w**6 + 390*w**5 wrt w?\nAnswer: -480*w**3 + 23460*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -9*((-2)\/(-6))\/1 + -2. Let l(m) = -4*m**2 + 2*m. Let z(k) = -k + 2*k - 4*k**2 + 2*k**2. What is o*z(n) + 2*l(n)?\nAnswer: 2*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/15, 22, 73\/34?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 7*y**2 + 9*y + 12. Suppose 0 = 3*z - 58 - 62. Suppose 4*f + z = -f. Let t be i(f). Solve -3*g = -a + 5, -4*a - 21 - 7 = t*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19124355 and 335515.\nAnswer: 19124355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 14*v - 106 = 19*v, -2*t + 152 = 2*v. Calculate the smallest common multiple of t and 900.\nAnswer: 8100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7, 1\/3, 0.3, -277?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -378*n = -180*n - 194*n + 6*o - 88, 3*n - 3*o = -69 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 2019851, -1\/4 in descending order.\nAnswer: 2019851, 0.2, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10831638*i*l**2 - 3*l**2 + 391*l + 1955 with respect to i.\nAnswer: -10831638*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1935 - 1935.41. Let y = 5.5827 - 5.99493. Let h = y - r. Round h to 4 decimal places.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 6*m - 25. Let g be o(5). Is 18 a factor of (5 - g - 6)*2*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 184 + -133. Calculate the smallest common multiple of 15 and b\/4 + (-3)\/4.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**4\/10 + 147*x**3\/10 + 459*x**2\/10 - 1323*x\/10 - 405 = 0.\nAnswer: -3, 3, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 73330317997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 132176?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 295 - 295.8. Sort 2\/5, y, -5\/6, -2.\nAnswer: -2, -5\/6, y, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 3*o**2 + 5*o - 2. Let r be ((-3)\/(-12))\/((-13)\/(-156)). Give p(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.533 - -241.533. Let q = 241.3 - u. Let z = -35 - -141\/4. Which is the nearest to z? (a) -4 (b) q (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -12) + -7 - (-19 + 8 - 72).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one tenth of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39855\/53 - 752. Let t = -3.18 - -2.78. Which is the closest to -1? (a) t (b) 1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -115*v + 115 + 1495 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6841669?\nAnswer: 31, 220699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -91342 - -22652905\/248. What is the common denominator of f and 725\/(-10)*(-6)\/36?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53824345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26700 + -26646. Let z be (-1 - (-3 - 0)) + 250. Calculate the greatest common factor of z and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -596241376*x + 345343838 wrt x.\nAnswer: -596241376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-six fifths of a tonne?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + -7 - -6) + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 27*m**2 - 80*m - 4. Calculate y(-8).\nAnswer: -580","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1185*q + 27642 = -441*q for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**3\/4 + 2153*f**2\/2 - 365862*f = 0.\nAnswer: 0, 372, 3934","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65, 69, 65, 47, 9, -55, -151?\nAnswer: -285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 187 (b) 0.5 (c) 0.1 (d) -0.05 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*p - 2 = 44. Let c(r) = -58*r**3 - 2*r**2 + 1. Determine c(p).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7646\/3 - 2573. Let w = 1328\/203 + 5\/29. Calculate the common denominator of z and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t. Let u(n) = -3*n + 11. Let x(o) = -2*o + 6. Let k(g) = 6*u(g) - 11*x(g). Give k(l(i)).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2024751 and 145?\nAnswer: 10123755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -125*r**2 + 37220*r + 8940.\nAnswer: -5*(r - 298)*(25*r + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 6*x**3 - 3*x**2 - 5. Let r(f) = f**3 - f**2 - 1. Let h(v) = -m(v) + 5*r(v). Solve h(y) = 0 for y.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2519363 - -70668.\nAnswer: 2590031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/10 (b) -2\/13 (c) -1\/2 (d) 1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 + 23. What is the greatest common divisor of 13 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - 2*c - 5. Suppose -3*u + 2*w = -2, -3*u - 2*w = -0*u - 22. Suppose -u*b = -5*b + 5. What is the remainder when q(b) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 5:56 AM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*w**3 - 25*w**3 + 25*w**3.\nAnswer: -11*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2179 - -2179.2. What is the biggest value in -10, 0.5, k, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 5*n - 17, -3*n + 23 = 2*f - 18. What is the closest to -2\/3 in -0.3, -2, f, 0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2060768347 to the nearest integer?\nAnswer: 1273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(162)*1 + 0.\nAnswer: 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -574, -576, -578?\n\"Answer: -2*c - 572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1488 - 1473. Which is the closest to 3? (a) y (b) 5 (c) -2\/9 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 2*w = 4*h, 0 = 3*w + 3. Suppose -h = -3*v - 5*m - 14, -m = 2*v - 3. Solve -5*o = 2*q - o - 16, -v*q + 2 = 2*o for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17598 + -7929. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*(-v**3 + v - v) - 2*v**2 - 2*v**3 + 2*v**2.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/((-40)\/12))\/(41\/(861\/126)).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 10:13 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**3 - 171*h**2 - 723*h - 549 = 0.\nAnswer: -3, -1, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven quarters of a second in milliseconds?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 3*i**2 + i + 3. Suppose -o = 4*o + 15. Let n be z(o). Solve -4*k + 3*c = -11, n*k + 7 = 2*k - c for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 137, 125, 111, 95?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -4*u + 24, 129*u = 130*u - 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1117, -4, 2, -2, 1 in decreasing order.\nAnswer: 1117, 4, 2, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10 + 780a?\nAnswer: 781a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 73*n**2 - 4227*n. Let l(y) = 2057*y. Determine l(r(w)).\nAnswer: 150161*w**2 - 8694939*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 35031179?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 73*-2*(-2)\/(-275). Let x = c - -22\/25. Let b = 3 - 4. Put x, b, -4 in decreasing order.\nAnswer: x, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(204)\/(sqrt(84)\/sqrt(7)) + (sqrt(17) + -2 + sqrt(51)\/sqrt(3) + sqrt(17) - sqrt(17))**2 + (sqrt(2448)*-1)**2 + 4.\nAnswer: -7*sqrt(17) + 2527","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 115429603 to the nearest integer?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 times 4.1\nAnswer: 0.287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -1629304?\nAnswer: 1629300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a03448 + -1?\nAnswer: 1a03447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -150*i**2 + 17*i + 17. Let f(j) = -25*j**2 + 3*j + 3. Calculate 34*f(s) - 6*t(s).\nAnswer: 50*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 less than 32?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -6*y**2 + 10*y + 20. Let h(s) be the first derivative of 7*s**3\/3 - 11*s**2\/2 - 20*s + 177. Let z = 0 + -5. Let x(f) = z*t(f) - 4*h(f). Factor x(p).\nAnswer: 2*(p - 5)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3152*d**2*g**3 - 36*d**2*g + 2*d**2 - 8*d*g**3 + 2*d*g**2 - 2*g**3 - 69*g + 2 wrt g.\nAnswer: 18912*d**2 - 48*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-189)\/24*4\/(-14))\/(18\/624)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9550 - p + 11183 - 35774.\nAnswer: -p - 34141","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 2) + (2 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 45 = 5*o, 5*o - 4*v - 27 = 2*o. Let n = 6 - o. Let y = -1 - 1. Is y at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5191 by -64491.\nAnswer: -5191\/64491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1253167639 to the nearest integer?\nAnswer: 1078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, -1\/10, -135.9, -4, -1.\nAnswer: -135.9, -4, -1, -1\/10, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5224 and 23816?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 426 and 2100.\nAnswer: 149100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74204.\nAnswer: 2, 13, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 2\/3 (c) 1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 2*f**2 - 2*f - 1. Let s be k(3). Suppose -s*l + 36*l + 196 = 0. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 743 divide 179778352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 19475647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12119\/40 + -1483\/5. What is the common denominator of 43\/136 and s?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 662*k = 2415*k + 87650 for k.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 5, 98.5, -2\/5, 2, -3\/5 in decreasing order.\nAnswer: 98.5, 5, 2, 0.2, -2\/5, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q**2. Let p(k) = -25752*k. Give s(p(n)).\nAnswer: 2652662016*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -62836240 divided by -7960\nAnswer: 7894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-10) - (-13)\/5. Suppose 0 = -a*z - 40 + 121. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/46 - 116821\/81834\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1185715 to the power of 1\/3, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 43 (base 15) to base 2\nAnswer: 111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 450\/117 - (5 - 1)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5*a - 20 = 0, -z - a = 3 - 7. Suppose z = 6*f - f - 5, 0 = 2*w + f + 17. Let r = w + 17. Calculate the smallest common multiple of r and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 609 is divided by 56.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + -2*(0 + sqrt(567)*2 + sqrt(567) + sqrt(567)))*6 + -4 + 5)**2 + -1.\nAnswer: -864*sqrt(7) + 1306368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108584943?\nAnswer: 3, 19, 1904999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2020 or 2021?\nAnswer: 2020","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - 9*t + 2. Let y be i(7). Let v = 18 + y. Suppose -v*x + 10*x - 116 = 0. Calculate the remainder when x is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 9*d**2 - 12*d + 19. Calculate l(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15) - sqrt(60))\/sqrt(3) - -5*sqrt(5)*1)**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.3 - -8.2. Let l = q + -4. Is l not equal to -0.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9601654?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 76.03359 millennia?\nAnswer: 760.3359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (-1 - -13)) + 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10763 - -5?\nAnswer: 10768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddydsiz. Give prob of sequence izy.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -562*p**2 - 6*p + 12. Let q(k) = -1687*k**2 - 17*k + 34. What is -17*b(h) + 6*q(h)?\nAnswer: -568*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-6)*((-3)\/8)\/((-25)\/200)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + r + 14 = 0, 4*w = 8*r - 10*r + 2. Suppose 0 = 5*o - 4*l - 5278, 2401 + 2880 = 5*o - w*l. What are the prime factors of o?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d + 13020 + 13691 - 9384*d**2 + 2*d - 25150 wrt d.\nAnswer: -18768*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117915649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-20)\/14)\/5 - (-7456)\/28. Suppose -21*u = -2*u - s. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + -1 + 0 + 2. Is 8\/4 + (d - -30) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 53*x + 16. Let n be -6*((-6)\/(-4))\/(-1). Is p(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1625.84um?\nAnswer: 1.62584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -3. What is the nearest to 0 in l, 0.1, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7143224 to the power of 1\/4, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-2) + (-91)\/(-14). Suppose -3*y = 3*m, -4*m + 24 = -x*y + 2*y. Solve 0*d = m*d - 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 297.1, 9\/137, 0, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 2*g - 345, -4*g - 170 = -5*g - 5*r. Suppose -17*d + 10*d + g = 0. Calculate the remainder when 94 is divided by d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 328 and 3239?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -169870*n**4 + 152534*n**2.\nAnswer: -4076880*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v + 3*v + 12 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.2435 + 0.7506. What is g rounded to two decimal places?\nAnswer: -0.49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of 5*r**3\/6 + 22*r**2 + 3*r. Let l be a(-8). Let q(m) = 0*m - 1 + 3*m**2 + 6*m - 5*m**2 - m. What is q(l)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1181567 is divided by 2312?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008722423 to 6 dps.\nAnswer: -0.000087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 5\/(-2) + 1. Let h be 23\/(-16)*(1 + 1). Let u = 67\/24 + h. What is the closest to -0.2 in -5, x, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t - 6. Let d(v) = 5*v - 14. Let o(f) = 6*d(f) - 14*z(f). Let a(w) be the first derivative of -49*w**2\/2 + 12. What is a(o(y))?\nAnswer: -98*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6769?\nAnswer: 7, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45 - -214. Let k = t - -29. List the prime factors of k.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + 8*s + 8. Let g be q(-6). Let m be (-2)\/8 + (-133)\/(-280)*-2. Let h = m + 28\/15. What is the nearest to -2 in g, h, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 4, -m - 4*m = -5*w + 5. Suppose 3*d + 25 = 5*x, d = -d + w*x - 10. Suppose 3*n = -d*n. Solve -3*p + 8*p + 2*i - 18 = n, 0 = 5*i + 5 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79843 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fwnffnntjwwffn. What is prob of sequence fj?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -73489*c + 13301511. Calculate o(181).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 406 - 407. Let r be ((-525)\/75)\/(x\/((-1)\/(-1))). Solve 0 = -a - 4 + r for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, x: 5, q: 2}. Give prob of picking 2 u.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**2 - 190 + 36 - 5*v**2 + 0*v**2 + 9*v.\nAnswer: -2*v**2 + 9*v - 154","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-9))\/(322\/1449*44\/6).\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 3, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 + 17 = -2*f. Let q = f - -45. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42.79 + 45.1. Let p = o + -5. What is p rounded to one decimal place?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3122033 (base 4) to base 14\nAnswer: 5139","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/7, -0.09, -140?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -859*v**7\/70 + v**4\/24 - 205*v**3\/6 + 21*v**2 + 9*v + 5. What is the second derivative of a(t) wrt t?\nAnswer: -30924*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/3, -27513, -3 in ascending order.\nAnswer: -27513, -3, 8\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.24934 in 1, -0.4, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -154 by -22.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 136785?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 106*u**3 - 11*u**2 + 22*u - 4. What is d(1)?\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(833) + 0 + 2)**2*6 - ((4*(sqrt(136) - (1*sqrt(136) + sqrt(136) - sqrt(136) - sqrt(136) - sqrt(136))))\/(-2*sqrt(8)*-1 + sqrt(8)))**2.\nAnswer: 168*sqrt(17) + 44110\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 divided by 6?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 79 - 200 - 2*d + 7*d**3 + 5*d**4 + 61 + 79 as u*d**4 + p*d + g*d**2 + m + i*d**3 and give m.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1159 is divided by 39.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28*-261.\nAnswer: 7308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 45\/(-27)*1*-3. Suppose p*d = d. Suppose -5*m - 5*r = -125, -m + d*r - 4*r = -31. Solve -4*z + 4*b - m = b, 3*z - 14 = -4*b for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41631?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 2*w**2 - 2*w + 1. Let a be q(3). Suppose -4*z + 20 = -0. Solve -a = 2*j - 3*j - z*t, 0 = -2*j + 3*t - 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*f**3*o**4 - 2*f**3 - 773068*o**4 - 7138149*o**2 wrt o?\nAnswer: 192*f**3*o - 18553632*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 595728 and 96768.\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of s**4\/12 + 26*s**3\/3 - 13*s**2. Let p be n(-24). Solve 0 = 3*w - p*m, -3*w + 29 = 2*w + 3*m for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 18*v + 16*v - 18 = 0, 2*n + 5*v + 24 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wz when two letters picked without replacement from zuuuuuuuuuuzuuwuu?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -67, -61, -49, -31, -7, 23?\n\"Answer: 3*v**2 - 3*v - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (5 - -6) + -11 + 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 448 and 976192?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2*sqrt(495) - sqrt(495) - sqrt(495)))\/(-2*sqrt(44)).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -245*o**5 - 700*o**4 + 1495*o**3 + 1590*o**2 + 360*o = 0.\nAnswer: -4, -3\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -7, -1\/6?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 43146, 30094, 17042?\n\"Answer: -13052*j + 56198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**2\/2 + 5253*i + 1318133\/2 = 0.\nAnswer: -10379, -127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 57.5219.\nAnswer: -57.5219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 112*t + 987. What is a(2)?\nAnswer: 1211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/14 and 110\/(-3)*6\/32.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v - 11. Let i be w(-18). Suppose 4*d - 6*d = 0. Solve 11*a - i*a = d for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14558570801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -26407 (base 8) in base 12?\nAnswer: -6807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 10) to base 11\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - (0 + 5 + -543). What is the greatest common divisor of 54 and c?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 0 (b) -0.1 (c) 1\/3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13.29 + 13. Let s = -0.289939 - q. Round s to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*i**3*z**2 - 6*i**3*z + i**3 - 11*i*z**4 + 2*i*z wrt z?\nAnswer: 8*i**3 - 132*i*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - (-10)\/((-2)\/(-1)). Suppose 5*k - 2*u + 1 = 0, 1 = -3*u + 10. Suppose -2*z + 9 + k = f, 5*f = -l*z + 20. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -34*y + 82. Let u be x(-2). What is the highest common divisor of u and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 + 52. Let d = -923 + 956. Let a = o - d. Which is smaller: 2\/11 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/50 and 113\/14550.\nAnswer: 14550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + 8 + -16 + -21 + 14?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -10974.56 to the nearest 10.\nAnswer: -10970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/2 + (-5)\/(5\/(-8)). Suppose r*b - 60 = -2*b. Suppose 0 = -b*q + 6027 + 4283. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4870 - -4872. Put 4, 3, 5, u, 43 in descending order.\nAnswer: 43, 5, 4, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/7 + 1706*w**2\/7 - 16910*w\/7 + 42150\/7.\nAnswer: -2*(w - 843)*(w - 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.772 + 0.472. Sort -2, n, -2.2, 1.\nAnswer: -2.2, -2, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/(-90) - 239334585\/(-918) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.109556466 rounded to five dps?\nAnswer: 0.10956","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 2)*(-42 - 1337 - 153)*(4*i + 3*i - 4*i) to the form f + s*i and give s.\nAnswer: -9192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 + 1)*(-3 + 1 + 0)*(74*a + 69 - 69).\nAnswer: -592*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56292270 and 46920?\nAnswer: 225169080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 117485 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27363194 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (-2 - 2) + (-9 - -8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 85\/6, 60, -12\/65 in ascending order.\nAnswer: -12\/65, 85\/6, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 5*m**2. Let l be y(5). Suppose h = -0*h - f + 4, 4*h - 4*f - 56 = l. What is the remainder when (6\/h)\/(6\/621) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 3)*(j + j - 3*j) + 398064 + 4650*j - 398064.\nAnswer: 4648*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 4*q**2 - q + 5. Suppose -3*d + i + 28 = 0, -2*i = -4*d + 14 + 24. What is the remainder when 16\/d - (-4)\/18 is divided by z(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 104, 197, 290, 383?\nAnswer: 476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-138 - -154)*15\/8\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**2. Let w(g) = 273273*g. Calculate w(s(m)).\nAnswer: 546546*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/2205 and 29\/3508050.\nAnswer: 73669050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 5*n**2 - 4*n**2 - 6*n**2 + 4*n**2. Let t(k) = -9*k. Determine t(j(r)).\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -10*(-6)\/297 + 2\/9. Is l > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 56, 0.5, 2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 7*l**4 + 8 + (6*l**3 - l**3 + 7*l**3)*(-3*l - 2*l - 34*l) as d + c*l**2 + y*l + h*l**3 + n*l**4 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/1 - 11\/(-2). What is the second smallest value in a, 2, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 21*q - 69. Solve 2*d + 7 = x + q*x, 5*x = 4*d + 11 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 965, 3854, 8661, 15380, 24005, 34530, 46949?\nAnswer: 61256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63800936 is divided by 799.\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -7*m**2 - 42*m - 9. Calculate k(-17).\nAnswer: -1318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -17850 divided by -595?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85770?\nAnswer: 2, 3, 5, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.66? (a) 17 (b) -4 (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 627 and 1462677.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1486 (base 13) in base 14?\nAnswer: 1131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125360 is divided by 443?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 3*y + 12, -4*g - 2*y + 5 = -9. Let -2*r**2 + 0*r**5 + r**4 - 7*r**5 - r + 6*r**5 + 2*r**g + 1 = 0. What is r?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 0. Let z = -6 - x. Suppose 56*v + 1463 = 96*v + 169*v. Calculate the smallest common multiple of v and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 623, -2, 1\/9, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 499\/45 + -56\/5. Let w = -2 + 3. Let x = -2 + w. Sort 0.2, u, x in descending order.\nAnswer: 0.2, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2 + 8*l - 2 - 2*l. Let a be q(10). Suppose u + 3*u = a. Calculate the greatest common factor of u and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 9 + 11545*k - 5095*k to c*k + q and give c.\nAnswer: 6450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 241871035 to the nearest integer?\nAnswer: 15552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80 and 64.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -358455 * 7.\nAnswer: -2509185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 474 is divided by 68.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-1) + 374\/(-17). Is z less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 337*t + 5164*t + 354550 = -1590*t for t.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32564 + 32580. What is the smallest value in 0.5, w, 3, -5, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/13257918 and -13\/15?\nAnswer: 66289590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -33111 (base 8) to base 6\nAnswer: -144201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y + 7 - 19 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -205 + 4?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of s**6\/120 + s**5\/10 - 5*s**4\/12 - 4*s**3\/3 - 11*s**2. Calculate the remainder when 88 is divided by a(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0109014955 to six decimal places.\nAnswer: -0.010901","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 99903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5511?\nAnswer: 3, 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -66.28 + 65.98. Which is the closest to r? (a) 3 (b) 118 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3582126 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1073526, 1073523, 1073520, 1073517?\n\"Answer: -3*t + 1073529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gugououoggogg. Give prob of picking 3 u.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110 + 1010?\nAnswer: -11100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*o*t**5 + 2*o*t**4 - 6*o*t - 20*t**3 - 19 wrt t.\nAnswer: 80*o*t**3 + 24*o*t**2 - 120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of -q**6\/120 - q**5\/60 + q**4\/24 - q**3\/6 - 689*q**2. Let p(h) = 5*h**3 + 7*h**2 - 6*h + 13. Calculate p(s) + 6*t(s).\nAnswer: -s**3 + s**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007934 to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2803*a**3 - 34*a**2 + 16*a**2 + 18*a**2.\nAnswer: 2803*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3*t - 11*t + 3)*(t**2 - 1 + 1).\nAnswer: -8*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 7*y - y**3 - 2*y - 3*y + 2*y**2 + 4*y - 6. Let z be s(3). Find i, given that 4*i + 4*i**3 + 5*i + 4*i**z - 5*i - 2*i**4 - 10*i**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 3:22 PM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 3*u - 5 = -6, -4*b - 30 = -5*u for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 - 13. Let w be (-168)\/(-20) - 6\/q. Suppose -w*s = -7*s - 16. What is the remainder when 29 is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 293363829.\nAnswer: 3, 11, 383, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 32 = -4*t, -4*j = 4*t - 2*j - 24. Suppose -3*z - 31 = t*x, -x - x - 23 = 3*z. Which is the closest to -1? (a) -0.05 (b) 0.1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 0*q**2 + 3*q + 0*q - q**2 + 5. Let l(m) = m + 2. Let t be (-12)\/(1 + 0)*(-35)\/84. Give t*l(s) - 2*c(s).\nAnswer: 2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.390509 minus -0.5?\nAnswer: -4.890509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2200 is divided by 105?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 - ((-118)\/1 - 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24658 is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 125072 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 126798 * -0.9.\nAnswer: -114118.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*b - 9*b = -224. Let u = b + 37. Solve u*t + 9 = 2*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -3*n + 3, -92*n + 91*n = 4*z - 21 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 22625.32 (b) 0 (c) -2\/13 (d) -24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*a - 2*c, a - 8*c + 9*c = -3. Let l(q) be the third derivative of 13\/24*q**4 + 0 + a*q**3 + 0*q - q**2. Let v(s) = -2*s**2. Calculate l(v(g)).\nAnswer: -26*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2 + 2795*o - 24750.\nAnswer: -5*(o - 550)*(o - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -273*s - 549 + 2347 = -496*s + 252*s for s.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 1 - (-980)\/(-1). Let k = 3478 + p. Round k to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.07629 in 2, -0.3, 1\/2, 17\/3, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 58*d**2*h*o - 3995*d**2*o**2 - 10*d**2*o + 2*d*h*o**2 + d*o**2 - 4*d - h*o**2 - h wrt o?\nAnswer: -7990*d**2 + 4*d*h + 2*d - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1682)\/(-2088)*18*2?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.053 (b) 10.83 (c) 15 (d) -3 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 20*f**2 + 47*f + 68. Let b(i) = 21*i**3 + 2*i**2 + 7*i + 4. Let q be b(-1). Let u be t(q). Let h(s) = 26*s. Determine h(u).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1302436, 1302039, 1301642, 1301245?\nAnswer: 1300848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2\/14*(-665)\/(-190)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -767 != -0.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32871 is divided by 3256?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 - -136. Suppose 32 = -2*x + d. Calculate the greatest common divisor of 5 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 2492.\nAnswer: 12460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**7\/(z*z\/z**(1\/3)*z))\/(z**(-2)\/(z**(-5)*z))*((z\/z**(-7))\/(z**(1\/7)*z))**(3\/20) assuming z is positive.\nAnswer: z**(353\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110513 is divided by 13811?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43459 is divided by 56.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t - 3*w + 8, -35 + 67 = 4*t - 3*w for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 631492792?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 348*s**2 + 98*s + 628. What is the tens digit of t(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1113049*m**3*y**2 - 342*m**3*y - 35*m**3 + m**2*y + 3*y wrt y.\nAnswer: 2226098*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11369060?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 21215 (base 8) to base 16\nAnswer: 228d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26340241?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 2:28 AM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**28\/(t*t\/(t**(-2\/77)*t)))**(-38) assuming t is positive.\nAnswer: t**(-78926\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 1991342\nAnswer: 7965368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 10*m**2 + 57*m - 256. Let q be d(7). Sort q, 16, 1, -1\/3, -3.\nAnswer: q, -3, -1\/3, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9126973 decades in months?\nAnswer: 109.523676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(-4)\/(-64) + (9\/4 - 2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10879 divided by -9.\nAnswer: 10879\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -489 - -321. Let g = b + 113. Let p = -54 - g. Let v(i) = 5*i - 1. Determine v(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - q + 270 - 322 = 0, 10*s + 128 = -2*q for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -62, -454, -856, -1274, -1714, -2182?\n\"Answer: -p**3 + p**2 - 388*p + 326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 150295 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 211211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-68 + 32 + 66)*(-3*a + a + 4*a)*(-3*a + 2*a + 0*a)*(0 + 0 + 2).\nAnswer: -120*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 - -19. Let c = w + 9. Solve -c*o = 4*h - 2*h + 18, -27 = 5*h + 3*o for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + 6*g + 12. Let u be h(7). Suppose 0 = -u*d - 13 + 38. Which is bigger: 4 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - 3*w**2 + w + 2. Let n be o(-3). Let z = 4 - n. Solve -x = 1 - z for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 759 * -454213\nAnswer: -344747667","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 148 + -83. Suppose 2*o = -6, 4*j = o - 2*o + t. Let w = j + 26. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - 4*c + 4. Let u be t(-4). Let j be (9\/u)\/((-1)\/(-16)). Suppose 2*x - j = -0*x. Solve 5*h = y - x, 2*y + 1 + 15 = -3*h for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 3) + 7 + -4 + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1359 divided by -418.\nAnswer: 1359\/418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(320) - (sqrt(320) + 0 + -5)) + (sqrt(320) + sqrt(320)*-2*-1 - sqrt(320)))**2.\nAnswer: 192*sqrt(5) + 1316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-31)\/(-4))\/(9\/36). Let y = 109 + t. Calculate the greatest common factor of 56 and y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16531.\nAnswer: 61, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -158 (base 12) to base 7.\nAnswer: -422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + f + 4. Suppose 3*p + g + 55 = -234, -4*g + 216 = -2*p. Let o = p + 98. Give z(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 74751 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -150*t**3 - 17*t**2 + 21*t - 3. Determine x(1).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k + 612 + 1176 + 1422 - 335)*(0 + k + 2 - 3) to s*k**2 + q + h*k and give q.\nAnswer: -2875","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, c: 2, d: 7}. Give prob of sequence xddx.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 7*q**2 - 11*q - 7. Let y(f) = f + 11. Let r be y(-16). Let k be w(r). What is the units digit of (9\/(-4) - k) + (-685)\/(-20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-113072)\/573 - -199)\/((2 + 0)\/30)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -673 - -673.1009. What is m rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 2*n**2 + 3*n - 1. Let p be 0\/2 + (-1 + 2)*0. Suppose 2*a + 3*a - 20 = -5*s, -3*a + s + 4 = p. Calculate g(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 + -28. Suppose -i + 71 = -q*f, -2*f + 5*f = 2*i - 163. Suppose -i = -5*o - 26. Calculate the greatest common factor of 12 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 213, 0, -63, 49.\nAnswer: -63, 0, 2, 49, 213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/85)\/h*h*(h*h**23*h)\/h assuming h is positive.\nAnswer: h**(2038\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2390840, 2390824, 2390784, 2390708, 2390584, 2390400, 2390144?\nAnswer: 2389804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4*w + 1. Let s be a(-1). Let y be 17 + (-3 - (s - -2)). Is 11 a factor of (-142)\/(-6) - (-5)\/y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of i**4\/4 - 5*i**3\/3 + 5*i**2\/2 - i + 11. Let r be g(4). Solve w = r*w + 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 8 + 4 = 0. Suppose f = 5*k - 15, 0 = -2*k + b + 2. Let j be -2*(-1)\/(f + 1). Solve -3*y = -y + j for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -251\/5, 4\/7, -11588.\nAnswer: -11588, -251\/5, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 35*p**4\/4 + 615*p**3\/4 - 7740*p**2 + 51975*p = 0.\nAnswer: -42, 0, 66\/7, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = c - 4. Let r(h) = -h**3 - 7*h**2 + 14*h + 12. Let v be r(c). Suppose -2*i - 10 = -v. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 280 + -238. Let m be (-10)\/4 - 1\/(-2). Let a be (m + 6)\/(4\/b). Calculate the greatest common factor of a and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 238535, 477095, 715661, 954233, 1192811?\n\"Answer: 3*h**2 + 238551*h - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1684 + -1216. Does 18 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**5\/5 - 4*d**4\/5 + d**3 = 0 for d.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 7, -1\/4, 3, -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(-2))**(-41\/5)*(n*n\/n**(-1\/4))**(1\/7))**(-29))**(-5\/3) assuming n is positive.\nAnswer: n**(-32857\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 195267 to the power of 1\/2, to the nearest integer?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*l**5 - 116*l**2 wrt l?\nAnswer: 720*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 49 (b) 0.52 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3a1 (base 11) to base 2\nAnswer: 111011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((12\/(-36))\/(2\/(-6)))\/(1*22).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-123)\/(-33) + (0 - 42\/(-154)). Solve -18*h - v = -20*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*c = 27 + 11, -c = 2*x - 85. What is the units digit of 3\/(-1) + -1 + x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -6. Let q(p) = p. Let v(o) be the second derivative of 0 - 1\/2*o**2 - 6*o + 5\/6*o**3. What is w*q(t) + 2*v(t)?\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -214*x + 515 wrt x.\nAnswer: -214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 0) + -1 + 5. Let t(f) = 0 + 3 + 2*f - 4 + 2. Let o be t(v). Calculate the highest common factor of 9 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 7 - 4. What is the units digit of (z - (-69)\/(-12))*-8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h. Let g be i(3). Suppose -2*p - 21 = -0*c + 5*c, -3 = g*c. Calculate the common denominator of (15\/p)\/((-6)\/(-28)) and 35\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/559792 and -91\/472?\nAnswer: 559792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.02 + -5.85. Let x = g + -0.17. What is the third biggest value in 0.2, -1\/4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 + -0.22. Let m = t - 21.98. Let q = -19.8 - m. What is q rounded to 0 dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -4*z**2 + 0*z**2 - 2*z**2 + 3*z**2. Let u(x) = 2*x**2. What is l(u(n))?\nAnswer: -12*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -l - 4, 3 = 2*l - 2*k - 1. Let o be 423\/(-135) + (-4)\/(-30). Sort -4, l, o in decreasing order.\nAnswer: l, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 180, 360, 540, 720, 900, 1080?\n\"Answer: 180*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 44596 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2d138201 - 4?\nAnswer: 2d1381db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 312 - 217. What is the derivative of -z*b**4 - 106*b**4 + 109 + 388*b**4 - 102*b**4 wrt b?\nAnswer: 340*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26750 and 856.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 1:55 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**2. Let j(d) = 31*d**2. Let m(y) = -y**2. Suppose 0 = 3*t + 14 - 8. Let x(b) = t*m(b) - j(b). Calculate v(x(z)).\nAnswer: 1682*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 3:25 PM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of r**6\/2160 - r**5\/240 + 5*r**3\/3 + 10*r. Let l(i) be the second derivative of j(i). Factor l(p).\nAnswer: p*(p - 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*u, 4*p - u + 0*u = 2748. Suppose 0 = -5*h + 10, -5*g = -h - 136 + p. Let y = 155 + g. Calculate the greatest common factor of 5 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uo when two letters picked without replacement from wnwniwnninioniu.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*t**5 - 4792782*t**4 + 42673482*t**3 + 7987476*t**2 - 33545385*t - 12322854 = 0 for t.\nAnswer: -2\/3, -3\/7, 1, 9, 76067","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.2 - -0.8. Let l = -679 + 672. Which is the third smallest value? (a) v (b) -4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194513309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 775, 1608, 2441, 3274, 4107, 4940?\nAnswer: 5773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 46, 59, 88, 139, 218?\nAnswer: 331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - v - 1)*(15*v - v - 3*v - v + v + v + (3*v + 2*v - 4*v)*(0 + 1 + 0) + 11*v - 13 + 13) to j + h*v + b*v**2 and give b.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a - 3*a - a)*((-2*a - 2 + 3*a + 0*a)*(1 - 1 - 4) + 6*a - 5*a - 3*a).\nAnswer: 48*a**2 - 64*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bfoss. What is prob of sequence fo?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 h when three letters picked without replacement from ieyyhhh?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1710 - -5?\nAnswer: 1715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 48 - 15. Suppose 18*k = -18 + 342. Calculate the remainder when k is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 5*o**5 + 800*o**4 - 30895*o**3 + 182390*o**2 - 187360*o - 401440 = 0.\nAnswer: -193, -1, 4, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 2*z**2 - 5. Let a be n(-3). Suppose 3*s = k - a, 4*k = 4*s - 7*s + 85. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -6*u**5\/5 + u**2\/2 - u - 8. Find the second derivative of b(o) wrt o.\nAnswer: -72*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q + 0*q + q)*(2*q**3 + 798*q**2 - 6*q - 798*q**2 + (2*q**2 + q**2 + 2*q**2)*(-2 + 2*q + 2)) as j + m*q**4 + u*q**3 + c*q**2 + k*q and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3469016 a multiple of 1157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 233649.\nAnswer: 3, 13, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*c + 346*c**2 + c + 11*c + 11*c + 233*c**2 to the form p*c + j + g*c**2 and give g.\nAnswer: 579","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 90, 124, 144, 144, 118, 60, -36?\nAnswer: -176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*158.05733.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 67*z**2 + 281*z + 210. Give u(71).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 889165 a multiple of 347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 + 16 = -4*z + 2*x, 0 = -3*z + 4*x - 11 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 - 16*o - 19. Let s be v(-14). Suppose 4*w - 11 = s. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 780*p**5 - 648*p wrt p.\nAnswer: 15600*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - 10*z + 7. Let x be k(7). Let o(w) = 2*w + 7. Let s(c) = -c - 3. Let n(v) = x*s(v) - 6*o(v). Let b(r) = 5*r + 1. What is -2*b(q) + 6*n(q)?\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -931406, -1862906, -2794408, -3725912?\nAnswer: -4657418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -25287, -25286, -25285, -25284, -25283, -25282?\n\"Answer: c - 25288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 609533 is divided by 304746.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3 + 124*p**2 - 4*p - 124.\nAnswer: 4*(p - 1)*(p + 1)*(p + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.863540203 to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 488\/44 + -2 + -5. Which is bigger: j or -0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 9*i + 15 = -10*i, -5*i = -d + 19. Let t = 1 + -0.9. Let f = 0.63 + -0.33. Which is the closest to t? (a) -1\/3 (b) f (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79595684?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25215 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3142342, 3142321, 3142302, 3142285, 3142270?\n\"Answer: h**2 - 24*h + 3142365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 5, 0, 21?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/7 + -1)*(268 - (-29904)\/(-112))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*s + 2*s. Let o = s - 10. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 12*z**2 + 538*z - 37. What is n(-45)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*a + 25*a + 20 = 0. Let v be (425\/(-2))\/a - 5\/(-10). Let p = 79 - v. What is the greatest common factor of 72 and p?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 + 37*z + 91. What is h(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(-1) - (-6 - 2). Sort -2, d, 8 in decreasing order.\nAnswer: 8, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291146 to the power of 1\/2, to the nearest integer?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 276 - 156 = 2*m, -2*m = 0. Let o = 984 - 728. Let w = h + o. Is w a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 + -2. Calculate the common denominator of (1224\/(-272))\/(1 + (-38)\/28) and (-2)\/g*372\/9.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -1. Solve -5*a = 5*b + 10 - 0, -o*a + 19 = -2*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 287 and 3977.\nAnswer: 27839","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -15 (b) -0.1 (c) -2\/3 (d) 1\/18 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-24)\/(-108) + (1 - 2\/9). Suppose 2*y - 32 = -4*n, 7*y = 3*n + 2*y - 37. What is the greatest common factor of n and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.03 + -0.93. Let o = t - -25.9. Let l = 30.99999848 - o. What is l rounded to 7 decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 437363588.\nAnswer: 2, 179, 610843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 180182?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1144006456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -4*y. Let u(z) = -z**2 - 64*z + 33*z + 31*z. Give u(q(d)).\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 0.08, 2.634725?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from llllllllllfl.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.2, 2264.623, -3\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from mmmbmsbbmmdmdd.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -72*j + 3449. Give f(48).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.511164 rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 3*t**3 - 228*t**2 = 0.\nAnswer: 0, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 1:26 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of 23*t**4\/24 + t**3\/6 + t**2. Let a be m(1). Suppose -k = -2*k + a. Does 13 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37 - -33.4. Let u = 0.01 + 0.39. Let x = u - i. What is the biggest value in 0, x, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 1\/2*o**2 + 11*o - 27. Calculate a(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 12:00 PM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4010 divided by 42116\nAnswer: -2005\/21058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 2*l = 21, 4*y + 8*l - 7*l = 22 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.07468029 rounded to 1 decimal place?\nAnswer: 10.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 4*r - 7. Let k be (22\/4 + -2)*8. Let q = k - 19. What is the remainder when x(6) is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2466)\/(-123) - 20) + 1861970\/82. What is the highest common divisor of s and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oeeqeqpoqoeqe. What is prob of sequence qoep?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-14)\/(-1638)*13).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k - 17. Suppose -2*u - 2*o + 18 = 0, -5*u + 6*o + 45 = 5*o. Determine h(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -3*y**3\/2 - 43*y**2\/2 - 106*y. Let o be p(-6). Calculate the highest common divisor of 418 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**3 + v + 1. Give p(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/8 in 1\/11, -1, 716\/5?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 2)*(-2*j + j + 3*j) + j - 3 + 3 + (-6 + 3 + 2 + (5 - 4 + 1)*(-3 - 4 + 5))*(18 + 10 - 13)*(j - j + j).\nAnswer: -78*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -269\/111 - -250\/37. What is the nearest to 1 in 4, b, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8310844881 to the nearest integer?\nAnswer: 2026","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 106999 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2446, 9622, 21594, 38362, 59926?\n\"Answer: 2398*a**2 - 18*a + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000000010000111101001 (base 2) in base 3?\nAnswer: 10221222122211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 14518*o - 2 + o**3 + 0*o**2 - 14517*o + o**2. Let g(q) = -3*q**3 - 2*q**2 - 2*q + 5. Give 5*b(p) + 2*g(p).\nAnswer: -p**3 + p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -4*j + 184, 2*j - 24 = -3*u + 60. Let f = j + -29. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2548368?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -9136000 rounded to the nearest one hundred thousand?\nAnswer: -9100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 51?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.89 + -0.11. Let u = t + 5.4. Let g = 2 - 2.1. Which is the closest to -0.1? (a) g (b) -2\/9 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 0)*(5 - 2 - 5)*(16*f + 14*f + 12*f)*(4*f + 6*f - 6*f).\nAnswer: -336*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 4407753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 + 67350*u + 740487.\nAnswer: 3*(u + 11)*(u + 22439)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7266*c**2*k**5 - 4*c**2*k**3 - 2*c**2*k - 6*c**2 - 2*c*k**2 - 403*c wrt k?\nAnswer: -435960*c**2*k**2 - 24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*d**4 + 442*d**2*k**2 + 9*d + k**2 + 8*k + 3501 with respect to d.\nAnswer: 72*d**3 + 884*d*k**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 5:56 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**2 + 94*w. Let x(q) = q**2 - q. Determine r(h) - 3*x(h).\nAnswer: -h**2 + 97*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f + 32, 136*f = -2*n + 131*f + 88 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from ffosgacgffgfssf?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 886*i - 1540. What is the least common multiple of t(2) and 428?\nAnswer: 24824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -422652 divided by 6.\nAnswer: -70442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -5*k + 367, -61*k = -60*k - 4*l - 59. Factor -40*i**2 - 39*i**2 - 3*i**3 + k*i**2 - 6*i + 36 + 5*i**3.\nAnswer: 2*(i - 3)**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12618656 to the nearest integer?\nAnswer: 3552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1141 is divided by 288?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -233 - -302. List the prime factors of m.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate y**3 + 22*y**2 - 12*y + 4756.\nAnswer: 3*y**2 + 44*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -932.3551 rounded to the nearest ten?\nAnswer: -930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (35\/10 + -5)\/(-2). What is the third biggest value in -13, -1\/3, 2, s?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 1 + z**3 - 5*z + 0*z**3 - 4*z - 8*z**2. Calculate the remainder when t(10) is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -141056451 + 141056411.0000027. Let m = 0.076 - -39.924. Let j = a + m. Round j to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 6*b - 6 = 6, -2*z + 5*b - 10 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 - 3 - 2*t**2 + 0 + 0 in the form a + r*t + v*t**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, p: 3, a: 4, e: 2, z: 2}. Give prob of picking 2 p.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wtgyhsy. Give prob of sequence gt.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 0 + 4. Suppose 0 = -g*u - 5*t - 12, 0*t = -2*u - 4*t. Is u greater than -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 890 and 68619?\nAnswer: 686190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-13279)\/21)\/(2\/(-6))?\nAnswer: 7, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 1\/6, 8, 0.4, 1729 in ascending order.\nAnswer: -3, 1\/6, 0.4, 2, 8, 1729","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -0.09, 1 in ascending order.\nAnswer: -0.09, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of 1\/105*k**7 - 1\/3*k**3 + 0*k + 0*k**4 + k**2 + 0 + 0*k**5 + 0*k**6. Find the first derivative of v(w) wrt w.\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of -m**5\/5 + 2*m**4 + 109*m**3\/3 + 293. Find the third derivative of v(u) wrt u.\nAnswer: -24*u + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of -q**8\/1260 + q**7\/630 + q**6\/135 - 31*q**3\/6 - 6*q**2 - 2*q. Let n(y) be the first derivative of t(y). Factor n(x).\nAnswer: -4*x**2*(x - 2)*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-4)\/(-24))\/(18\/162)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.03859*-0.1\nAnswer: -0.003859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.173 - 267\nAnswer: -266.827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 37717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 62459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13\/4*u**3 + 54 - 43\/2*u**2 + 303\/4*u = 0. What is u?\nAnswer: -9, -8\/13, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58957, 58809, 58559, 58207, 57753, 57197?\nAnswer: 56539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 15 - 1d2a?\nAnswer: -1d15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v**3 - 7*v**2 + 2. Let k(t) = 2*t**3 - t + 2. Let d(x) = -11*x**3 + 3*x**2 + 5*x - 11. Let h(c) = -d(c) - 5*k(c). Calculate -5*h(p) + 2*l(p).\nAnswer: p**3 + p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*z + 154*z - 6 = -2*y, -7 = z - 5*y for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 1100011100110110011100?\nAnswer: -1100011100110110100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6411264222.\nAnswer: 2, 3, 11, 97140367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*q - 2*q - 21*q as a*q + j and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 9:57 PM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*v**2 - 1557 - 14*v**3 + 1557 wrt v.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3959494 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13756614.48 nanoseconds to weeks.\nAnswer: 0.000000022745725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 2*c + 72. Let u = c - -49. What is u rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -5*g + 3*x + 300, 60 = g + x. Is g a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 92121.01mm?\nAnswer: 92121010","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4*k = 56, -30 - 30 = -3*d + 3*k. Suppose -5*i - x = 15, i + 3*x + d = 7*x. Does 21 divide 26\/4*i\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 410037633 and 1636?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 9804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.001 in -1\/3, -3, -0.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilometer in centimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12.5 - -11.5. Let f = -3.07 + 0.07. Let u = f - -3.2. What is the smallest value in -4, n, u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -y**6\/5 + y**4\/4 + 3*y. Find the third derivative of n(a) wrt a.\nAnswer: -144*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (420\/(-8))\/(-21)*16\/5\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 151*f**3 - 3*f**2 - 56*f - 130. What is j(-3)?\nAnswer: -4066","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ece when three letters picked without replacement from cceccccccccecce?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of n**4\/4 - 16*n**3\/3 - 18*n - 5. Let t be a(16). Which is smaller: -19 or t?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 14909977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -3\/2*i**2 + 0 - 21\/2*i = 0?\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-748)\/8)\/((-2)\/4). Let f = r + -69. Calculate the least common multiple of 4 and f.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -95*z + 979. Calculate q(10).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -0.33\nAnswer: 0.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2491508*d**2. Let b(r) = -5*r**2 + 4. Determine b(k(o)).\nAnswer: -31038060570320*o**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 8 = 3*j. Let o(w) = w + 1. Let q be o(1). Let l(k) = -8*k**j + k**2 - 3 + q. Calculate l(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 60*w + 1. Let f(l) = -61*l - 1. Calculate 4*b(k) + 5*f(k).\nAnswer: -65*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9123 - 192 = -23*u. Calculate the remainder when u is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 8, 3*r = -17*z + 12*z + 22. Suppose 3*x + r*k = 86, -k + 3*k + 2 = 0. Solve 33*a = x*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -42032113, -84064228, -126096343?\n\"Answer: -42032115*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 3*l + 1, 5 - 16 = 5*l + x. Let z be -3 - (-150)\/18 - l\/(-9). What is the highest common divisor of z and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 7*g**3 + 17*g**2 - 4*g + 7. Let f(l) = -3*l**2 + l - 2. Determine -b(n) - 3*f(n).\nAnswer: -7*n**3 - 8*n**2 + n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, m: 2, e: 2, n: 2}. Give prob of picking 1 m, 1 e, and 1 z.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -6*p**2. Let d(t) = 12*t - 2. Give d(r(f)).\nAnswer: -72*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u**3 + 33*u**2 - 29*u - 74. Let n(m) = -5*m**3 - 49*m**2 + 43*m + 113. Let z(y) = 8*j(y) + 5*n(y). Calculate z(18).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + 29*h + 12. Let s be m(20). Is 13 a factor of -2 + 3 + (s - 0) + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 4)*(-56)\/140. Let u(v) = 29*v**2 - 2*v**o - 35*v**2. Let g(k) = -8*k. What is g(u(z))?\nAnswer: 64*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/67530 and -23\/288?\nAnswer: 3241440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 27600400 + -4?\nAnswer: 27600374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 18 + (-1 - 0) - (-61 - -24 - -37)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/2 - (-7 + -6). Sort 5, f, 3 in increasing order.\nAnswer: 3, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 8*d**2 + 62*d + 25. Calculate n(-7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2aa1 (base 12) in base 13?\nAnswer: 238c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5130 and 565074.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-189)\/(-630))\/(6\/20)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 160103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3047 = -8*b + 3071. Let o(u) be the first derivative of -7\/3*u**b + 0*u - 8 + 1\/2*u**2. What is the second derivative of o(h) wrt h?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) + -2)**2 + sqrt(567) + sqrt(567) - ((sqrt(77)*-1 - sqrt(77)) + sqrt(77))\/sqrt(11).\nAnswer: -17*sqrt(7) + 571","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 131101133032 - -3?\nAnswer: 131101133040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -4*p**5\/5 + 51*p**2\/2 + 59*p + 33. Let s(t) be the first derivative of n(t). What is the derivative of s(r) wrt r?\nAnswer: -48*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3294)\/3843 + -22*5\/(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 22096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, h: 4, j: 1, v: 1, p: 4, s: 1}. What is prob of sequence mmm?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -2186.30567 to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1016339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1149183 by 4437.\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 186695270?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12958 a factor of 396231615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(1715) - -1*sqrt(1715))\/(1*sqrt(720)).\nAnswer: 7*sqrt(7)\/6 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 140 by 4.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 168762 a multiple of 287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -1. Let b = y - 6. Put 0, 3, b in increasing order.\nAnswer: b, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g**2 - 58*g + 246. What are the prime factors of r(36)?\nAnswer: 2, 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 d when four letters picked without replacement from tttstdtdstddtdd?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**5\/8 - 5*g**4\/8 - 17*g**3\/8 + 13*g**2\/8 + 13*g\/2 + 7\/2 = 0. Calculate g.\nAnswer: -2, -1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 14) to base 6\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -153 - -117. Put 0, -3, 6, w in descending order.\nAnswer: 6, 0, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 0*q + 4 = -2*q, 16 = 5*c + q. Solve 5*u + 3*b = -8, -3*u + 0*b + c*b = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = 4*b - x, 3*x = 5 - 17. Let d = 0 - b. Let o = d + -11. Calculate the remainder when 57 is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 19*v**2 - 19*v + 21. Let o be t(18). Suppose o*y = -4*a - 289, 2*a - 378 = -0*y + 4*y. Is ((-456)\/y)\/(1\/5) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2796*a + 428*a - 20677 - 81923 = 659*a for a.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 824 + -20589\/25. What is the common denominator of d and (74\/15)\/(20\/3)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/5, 11, -3\/2, 30?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1254251?\nAnswer: 1254251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus 854803?\nAnswer: -854806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48 - (23 - -82)) + 72.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 14. Suppose l*j = p + j, 4*p + 4*j = 0. Suppose 2*q - 2*w + 16 = 0, 0*w - w = -2*q - 19. Which is smaller: q or p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 0*f - 84. Let c = f + -3. Let l be c\/4*10\/15. Solve j - 12 = 4*p - 6*p, -l*j + 5*p = 19 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/5, -96, -3, -7.3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -104 divided by 2?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1660262*u**2 - 830228*u**2 - 830032*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1517 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*m + 4*m - 30*m.\nAnswer: -61*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 144768?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5602557 is divided by 240?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d = 503 + 740. Round d to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqeg when four letters picked without replacement from qjeqjgeeeeee?\nAnswer: 7\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1181 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -74431 by -49.\nAnswer: 1519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, 0.3, 4\/3 in decreasing order.\nAnswer: 4\/3, 0.3, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**2 - 11*d + 65. Let c be r(-8). Solve -28*i - c = -33*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 4\/3, -2\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 10 + 7 = 0. Let g(d) = d**3 + d**2 + d. Let z(l) = 6*l**3 + 5*l**2 + 4*l + 2. What is f*z(h) - 4*g(h)?\nAnswer: 2*h**3 + h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -7*q**2 + 7. Let i(a) = -2*a**2. What is p(i(n))?\nAnswer: -28*n**4 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 132316452 to the nearest integer?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a kilogram in grams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8.6 and -6.311858?\nAnswer: 54.2819788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13541062 by 4.\nAnswer: 6770531\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 98\/(-10) + (-5)\/25. Let o be (0\/v)\/(-1*1). Suppose o = t + 4*t. Which is bigger: 2 or t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o + 0*o + 3*o + 0*o. Let b(h) = -41 + 24*h - 14*h + 42 - 36*h. Calculate i(b(t)).\nAnswer: -26*t + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - f - 20 = 2*f, -4*f = 20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d**2\/3 - 13*d + 55\/3 = 0 for d.\nAnswer: -11, 5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 149, 2, 3, 0, -3 in ascending order.\nAnswer: -3, -2, 0, 2, 3, 149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*u = 12*u + 6*u - 80. Put -5, u, -4 in decreasing order.\nAnswer: u, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + i + 3. Let v(f) = 44*f**2 - 265*f + 6. Let w be v(6). Suppose w = 56*n - 42*n - 42. What is k(n)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 2, 19 in increasing order.\nAnswer: 2, 16, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p - 4. Let j be i(-3). Let l be (-33)\/11 + (-1)\/j. Let g(q) = -3*q + 1. What is the lowest common multiple of g(l) and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 774154 - 774094.69892. Let v = -59.3 + m. What is v rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-22)\/(-5) - 2 - 3. Let a = -30 + 28. What is the second biggest value in a, h, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -126, -111, -96, -81, -66?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 + -20. Suppose -r + s = 0, b + 3*b + 135 = -r. Let h be (b\/15 - -2)\/1. Put h, -2, -0.5 in descending order.\nAnswer: h, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7491960 a multiple of 420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 104320 - 3013?\nAnswer: 101302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7022 + -7018. Determine n, given that 4\/3*n**k - 4\/3 - 2\/3*n**5 + 14\/3*n + 4\/3*n**3 - 16\/3*n**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + 7 + -109 - ((1 - 14) + (24 - 6)).\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*z - 25*z + 2*p = 18, 3*z - 5*p + 31 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 17 (b) 0.2 (c) -30\/11431 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67097b (base 12) to base 4.\nAnswer: 12100101233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c - 7. Let l be m(-5). Calculate the lowest common multiple of 22 and 9 + l\/1 + -3.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -111*x - 4881. Let y be k(-44). Solve -2*u = 17*m - 7*m - 30, 0 = y*m + 5*u + 13 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + 298.\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 59*c + 6. Let v be i(6). Let n be 543\/12 - (-41)\/(-164). What is the highest common divisor of v and n?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2718*t**3 - 2*t**2 - 5. Is w(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 - -3448a1?\nAnswer: 344897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2*g**2 - 18*g + 9620 = 0?\nAnswer: -74, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0425392 - -12.\nAnswer: 12.0425392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (6 + -9) - 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/4)\/(-33*(-3)\/33)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -17*s**2. Let x(f) = -34 + 20 + f + 14. Determine p(x(u)).\nAnswer: -17*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**5 + 6*x**4 + 12*x**3 + 10*x**2 + 3*x.\nAnswer: x*(x + 1)**3*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-1 + -1 + 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**4\/5 + 63392*u**3\/5 + 63394*u**2\/5.\nAnswer: -2*u**2*(u - 31697)*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 338 a factor of 103173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 25*k - 22*k + 23*k to r + q*k and give q.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 2*p**2 + 4*p + 2. Suppose 2*n = -4*l, -3*n = -n + 5*l - 2. Let q = -4 - n. Suppose -3*f + 3 - 12 = q. Give t(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(17) + sqrt(102)\/sqrt(6))*6 + (sqrt(187)\/sqrt(11) - sqrt(17)) + 3 + 2)*1.\nAnswer: 5 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23155*w**3 + 11580*w**3 + 11574*w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35744868 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 320795?\nAnswer: 5, 83, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 7:18 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/258 and 36\/42*(15\/(-20))\/(24\/1624).\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - 3*v**2 + 2*v + 1. Let d be f(2). Let g = d - -3. Is (-18)\/(-3)*2\/g a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 4*f + 9. Let b = -251 + 240. Calculate r(b).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55325.38 hours to minutes.\nAnswer: 3319522.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -5*p - 47. What is the units digit of r(-20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -147727510 divided by -410?\nAnswer: 360311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -628 by 4.\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/42 + (-68)\/(-14). Suppose d*l - 3 = 2*l. What is the units digit of 28\/2 - -3 - l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-22))\/(195\/(-1430))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 466171320 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 8*h = 20. Solve -4*u = 5*w + 6, h*w = -4*u + 1 - 5 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -837749\/3 or -279250?\nAnswer: -837749\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51493 is divided by 7335.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 - -34. Let h be (-3)\/(2 - (0 + z)). Let r = 6 - 3. Solve 15 = h*s + r*t, -s + t + 2*t + 1 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 10*p**2 + 6*p + 2. Let w be a(7). Suppose -22*n = -w - 2964. Calculate the remainder when n is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 6*q**2 - 17*q + 20. Let f(c) = 2*c**2 - 6*c + 7. Give 17*f(p) - 6*o(p).\nAnswer: -2*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12315.5 millennia to centuries.\nAnswer: 123155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*g - 2*h = 30, 5*h = 0. Let f be g\/6*(-6)\/5 - -1891. Suppose -4*n - 540 = -f. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 100010001101110101101100000?\nAnswer: -100010001101110101101011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*12\/(-1232))\/((-3)\/7)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1266.9018 - -1267. Let a = f + 0.2018. Suppose 19 - 4 = -5*q. What is the closest to q in -1, a, -0.04?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*h*i + h*v**2*x**3 + 2*h*v*x - 3*h + 15*i*v*x - 5*i + 2*x**3 wrt v?\nAnswer: 2*h*v*x**3 + 2*h*x + 15*i*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of n**3*z**2 + 2808348*n**2 - 89*n*z**2 - 10*n*z + 3*z**2 + 6*z + 26 wrt n?\nAnswer: 6*n*z**2 + 5616696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -552005\/240354 + 3\/8902. Let c = -205\/54 - m. What is the smallest value in 0.17, c, 1\/3, 2\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 7. Let y(t) = -3 - t**2 + t**3 - 5*t**2 + 4*t - 5. Let h be y(6). Solve -v + 4 = v - 4*n, 5*v + x*n + h = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1145 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.53 - 108.47. Let u = y + 109. Which is the third biggest value? (a) u (b) -0.2 (c) 0.5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45669 is divided by 2450.\nAnswer: 1569","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 395747 is divided by 85.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 12 = 3*h. Let k be (-26)\/(-4) + 12\/(-8). Suppose -k*w + h = -3*w. Solve -q = -5*i - 9, -w*q = 3*i - 8*q + 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 315*y = -30*x + 318*y + 52 + 359, 2*y = -5*x + 76 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -26, 4, 18?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -8112372 divided by 4\nAnswer: -2028093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -9*s - 6. Let n = -35584 + 35581. Let p(k) = -8*k - 6. Determine n*p(x) + 2*o(x).\nAnswer: 6*x + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of 2*u**3\/3 + u**2\/2 + 3*u - 4276. Give v(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -88, -100, -126, -172, -244?\nAnswer: -348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2. Let d(p) = -3*p - 4. Let g(w) = 2*w + 3. Let h(s) = s**2 + 7*s + 7. Let y be h(-5). Let i(u) = y*d(u) - 4*g(u). Give i(m(q)).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j**(-2\/19)*j)\/j)*j)**(-26)\/((j\/j**16*j)\/j**15) assuming j is positive.\nAnswer: j**(-489\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, s: 2, l: 1, r: 1}. Give prob of picking 1 l and 1 r.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 69*h - 1 + 0*h**2 - 4*h**3 + h**2 - 70*h + 5*h**3 - 3*h to r*h**2 + d*h + l*h**3 + x and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 54\/(-243)*((-6)\/4 + 0). Let k be 0\/(-2) + 1\/4. Let l = 104\/3 + -109\/3. Sort l, k, b.\nAnswer: l, k, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2059 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -d - 4. Let k = 28 - 17. List the prime factors of d*k - (-5)\/5.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**3 + a**2 + a + 1. Let q be t(-1). Suppose -21*m = -23*m + 246. Suppose 141*z = m*z + 90. Solve q = -2*n - z for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36*((-7161)\/154)\/(-31).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/3 - 30042884*r\/3 + 10014294.\nAnswer: 2*(r - 15021441)*(r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 224\/24 - 1892\/258?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -20*j**3 - 20*j + 3. Let o(a) = 19*a**3 + 22*a - 2. Give 2*c(t) + 3*o(t).\nAnswer: 17*t**3 + 26*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*u + 75*u + 63*u - u**2 + (3*u - 3*u + u)*(-4*u + 0*u + 2*u) + 3*u**2 - 4*u**2 - u**2.\nAnswer: -5*u**2 + 113*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2944 and 2704.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 262*w**4\/13 - 80438*w**3\/13 + 2642188*w**2\/13 - 23044968*w\/13 + 351216\/13 = 0. Calculate w.\nAnswer: 2\/131, 18, 271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence co when two letters picked without replacement from oodkcddooocodooo.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*6\/(-9)*567\/32508*-1*2.\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - a + 1. Let m(c) = 7*c**2 - 8*c + 8. Let d(r) = m(r) - 4*w(r). Is d(8) a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5404 and 0.2.\nAnswer: 1080.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 + 15 - (10 - -3)) + 1?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of 9\/5*j + 3\/5*j**2 + 9 - 1\/5*j**3. Factor k(n).\nAnswer: -3*(n - 3)*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 4) to base 7\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 9}. What is prob of sequence ii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 2\/11, -2, 0.1, -145, -3\/5, 9.44?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3337777 - 0?\nAnswer: 3337777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 - 1. Let t be y(2). Let u = -0.1 - 0.4. What is the third smallest value in u, t, 1\/6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u + 3*u + u. Let a(r) = -101*r + 0 - 9 + 102*r + 9. Determine t(a(w)).\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*m + 13*m + 60. Let t = m + -55. Let p = -6 + 9. Solve -a - t*n = 2*a, p = n for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1 and -326626993.\nAnswer: -326626994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -5 and -14 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -770 divided by -77\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11701117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -100003220 - -421?\nAnswer: -100002244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 109 - 101. Let x be ((-42)\/4)\/((-2)\/(-4)). Let h = s - x. Is h a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q**4 - 9*q**4 - 3*q**4)*(10 + 18 + 3)*(2 + 2 - 3).\nAnswer: -217*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -116 by 2.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48935927, 97871860, 146807819, 195743816, 244679863?\nAnswer: 293615972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.42 + 0.4. Let h = z + -3.98. Let c = -13941 + 13941.3. What is the nearest to h in -3, c, 2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1077, 2388, 3699, 5010, 6321?\n\"Answer: 1311*o - 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i**3 - 6*i**2 - 3*i + 6. Let d be g(6). Calculate the highest common divisor of 45 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4\/187 - -346\/1309. Which is the second biggest value? (a) j (b) 0 (c) -0.4 (d) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -138 + 57 + 84?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257405?\nAnswer: 5, 51481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/6)\/(((-100)\/48)\/25).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 1304*i + 319. What is the units digit of l(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, d: 1, c: 1, a: 2}. What is prob of sequence cd?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w*w**(2\/5)*w))**(-17)\/(w\/(w\/w**(2\/3)))**(3\/4))**(-50))**(2\/21) assuming w is positive.\nAnswer: w**(-2330\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 79.77 - -18.23. Which is smaller: l or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2929 + -2981.96. Let f = 0.04 - i. Let g = -53.006 + f. Round g to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 123957278?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-14) - 38\/(-63). Let q(z) = z**2 - 3*z + 3. Let v be q(1). Suppose 10 = 9*s + v. Which is bigger: s or g?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 67 + -67. Solve c*d = -5*d + 15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 134 and 1541?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3193660.\nAnswer: 2, 5, 159683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -2*q + 10, 71*y - 67*y = -q + 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 63181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -99.76495 rounded to the nearest integer?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) - (3*sqrt(80) + -2))**2.\nAnswer: -32*sqrt(5) + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 471*k - 8942. Give m(-20).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -7. What is the nearest to -1 in -5, o, -12?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 270301?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -60, -5, -1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37\/114 - -1\/114. Which is the nearest to -2\/3? (a) v (b) 2\/9 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8*(1564\/(-34))\/(-35144)\nAnswer: -2\/191","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of -2*x**5\/15 + 9*x**2. Suppose -8*w + 147 = -w. Let h(y) = 15*y - 40*y + w*y. What is b(h(m))?\nAnswer: -128*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**(1\/2))**(8\/3))**1\/(f**(-8)*f**(-8))**(-49) assuming f is positive.\nAnswer: f**(-2332\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45924 and 890?\nAnswer: 229620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30) - ((1*sqrt(270) - sqrt(270))\/sqrt(9) + sqrt(30)) - sqrt(30)) + sqrt(1470)*1)\/(sqrt(90)*-5 + (-2*sqrt(80))\/sqrt(8)).\nAnswer: -6*sqrt(3)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 6. Calculate the smallest common multiple of 2 - (-8 - 0)\/2 and (n - (5 - 1))*-7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73819.\nAnswer: 73819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6 - 0) + (-64)\/16. Suppose 3*p + 0*p + 6 = 0, 0 = t*b + 2*p - 4. Suppose -b*l = l - 35. What is the remainder when 20 is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5360, -9816, -14272, -18728, -23184?\nAnswer: -27640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*((-18)\/1100)\/((-696)\/1276).\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, a: 9, u: 4, k: 2}. What is prob of sequence yuy?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -2\/7 (b) -4 (c) 7 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6*9\/135*(-10)\/24\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/(-25))\/(26\/(-10)). What is the smallest value in -2, 2\/19, x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/12312 and 70\/1539.\nAnswer: 12312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -8 - 152. Let l be (-8)\/6*(-12)\/j. Which is the third smallest value? (a) 0.2 (b) l (c) -0.5 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1674 + 2627. Suppose -5*b - 2*v = -1640, -5*v = -3*b - 0*b + x. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183 + 97 = 7*s. Suppose -2*p - 300 = -5*p + 3*r, 4*r - 500 = -5*p. Calculate the greatest common factor of s and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = 10*j + 20, 73*n + 2*j = 75*n - 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5\/13 + 3\/13. Let h = -85 - -85.5. What is the closest to 0.1 in h, -5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2530 - 5804\nAnswer: -3274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -22.054219?\nAnswer: 2.2054219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 150*w**3 - 10504*w**2 - 591*w**3 + w + 10506*w**2 as r + p*w + g*w**2 + f*w**3 and give f.\nAnswer: -441","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/((z*(z\/((z*z**13)\/z))\/z)\/z)*z**(-19)*z*z**(-20)*z*z*z*z**(-7\/6)\/z assuming z is positive.\nAnswer: z**(-139\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-12))\/((-12)\/(-36)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*l - f - 2*f, -5*l - 5*f = 0. Suppose -2*q + 2*u = -16, -q - 5*u = q + 12. Suppose -3*k = -4*g - q*k + 901, 3*g = l*k + 657. Does 32 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 5*s**3 - 14*s**2 - 16*s + 11. Let u(h) = 6*h**3 + 6*h**2 + 11 + 21*h**2 - 42*h**2 - 17*h. Let l(n) = -5*j(n) + 4*u(n). Calculate l(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from mmffmmmmmmfmmmmfmmmf.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.1 + 1.100076. Round l to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*i - 5*a = -24895, 0 = i + 5*a - 8285. Let v = 58841 + i. Let d = 20146 - v. What is d rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(17) + -1)*1*1)**2 - (2*(0 + sqrt(612)))**2).\nAnswer: 10*sqrt(17) + 12150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -1634.0457\nAnswer: 653.61828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (73\/((-17520)\/450))\/3.\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - x + 2*x)*(5*x - 5*x - 3*x**2)*(-2 + 6 - 3)*(2 + 2 - 2).\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.05313 + -13.94687. Sort h, 2, -33, -1\/8 in increasing order.\nAnswer: -33, h, -1\/8, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 + 1)*(3 + 3 - 4)*(-2 + 9 + 1)*(2 + 0 + 7)*(21 - 6 - 8)*(-2*l**3 + 0*l**3 + 0*l**3).\nAnswer: -10080*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -47, 444, -2\/7, -0.3, 2\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5301, 5306, 5313, 5322?\n\"Answer: o**2 + 2*o + 5298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -1589618?\nAnswer: 158961.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2672135 (base 11) to base 12.\nAnswer: -1666694","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2387937217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4 = 4*u, 0*f - u = -3*f + 25. Suppose 6*w + 90 = f*w. What are the prime factors of w?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 - 42. Let d = y - -18. Let i be (-1)\/d + 6\/(-15). Put -0.1, i, 5 in decreasing order.\nAnswer: 5, -0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 135 and 513.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/15)\/(2\/5). Let d = 33 + -35. Let g be 2*(-5)\/((-35)\/d). Which is the closest to -1? (a) m (b) 1\/6 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -0.3 (b) 2\/11 (c) 0.04 (d) 54.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 134, 5\/2, -273\/40.\nAnswer: -273\/40, 5\/2, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -6*s**2 - s - s + s - 1 + 5*s**2. Let a(p) = -p + 1. Let w be a(-5). Let c = w + -5. Let f(o) = -o**3 - 7*o**2 - 6*o - 5. Determine c*f(j) - 5*d(j).\nAnswer: -j**3 - 2*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from chf. Give prob of picking 1 f and 1 h.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3837, 4322, 5189, 6630, 8837, 12002, 16317, 21974?\n\"Answer: 32*l**3 - l**2 + 264*l + 3542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/3395 - -6787\/10185. What is the fourth biggest value in 4, 5\/11, 0.2, y?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 times -110.944?\nAnswer: 1220.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41763328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(153) - (sqrt(153) + sqrt(153) + -2*(sqrt(153) + sqrt(153)*1 + sqrt(153)) + sqrt(153))) + sqrt(153) + sqrt(153))\/((-3*sqrt(90))\/sqrt(10)))**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -150*z + 185*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -0.0257844, -2\/9?\nAnswer: -0.0257844","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of 7*m**4\/12 - 2*m**3\/3 + 3*m**2. Let a be f(-3). Let j = -14 - a. Is j a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -85 or -2\/20507?\nAnswer: -2\/20507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -11021100202222 (base 3) in base 9?\nAnswer: -4240688","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 2:44 AM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -113915959 and -113915961 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/6)\/(6\/90). Solve -3*b - 13 = 5*k, l*b + 6 + 5 = -3*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from gggggggqgggqgqggqgq?\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 d when two letters picked without replacement from miiidmmdmddd.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3366569524036.6 + -15.\nAnswer: 3366569524021.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 167177636 to the power of 1\/2, to the nearest integer?\nAnswer: 12930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*g - 119*g = -120. Suppose 108 = 4*i - 88. What is the remainder when i is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 4*q + 2. Let j(z) = 21*z + 11. Let f(m) = -2*j(m) + 11*r(m). Let i(s) = s**2 - 40. Give f(i(v)).\nAnswer: 2*v**2 - 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*o**2 - 15*o**2 - 10*o**2 + 83*o**2 - 17*o**2 - 14*o**2 - 10*o**2.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -188*d**4 + d**2 - 194*d + 4 wrt d.\nAnswer: -2256*d**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2618\/714)\/(44\/(-1032))?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15635267 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 8:01 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 160193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -226, -359, -492?\nAnswer: -625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v**3 + 2*v**2 - 6*v - 31. Determine f(3).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 162 = -2*o, -53*i + 3*o - 135 = -56*i. What is the remainder when 156 is divided by i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 129626 and 10857.\nAnswer: 4277658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 296.85194463865 and 0.05.\nAnswer: 296.90194463865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(112)*-3 - 4*(-1*sqrt(112) + sqrt(112))) + -4)**2.\nAnswer: 96*sqrt(7) + 1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 9:13 PM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3656511347 to the nearest integer?\nAnswer: 60469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17179100 and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -76077 * 1\nAnswer: -76077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -1044*q + 68. List the prime factors of f(-4).\nAnswer: 2, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-5) - (-2)\/(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -f**6\/120 - 3*f**5\/20 + 5*f**3\/6 - 3*f**2. Let k be c(-9). Solve 0 = k*r - 15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmuekse. What is prob of picking 1 k, 1 e, and 1 u?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212*m + 214*m - x = -12, -3*m + 4*x = 33 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -14. Let d be -1 + (-1 - 16\/(-10)). Which is the third biggest value? (a) r (b) d (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeeegeegee. What is prob of sequence egg?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0209 and -39235858.\nAnswer: -39235857.9791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5871248, -3 in increasing order.\nAnswer: -3, -1, 5871248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 13*q + 50. Let m be y(4). Suppose -28*s = -m*s. Solve -26*a + 31*a - 5 = s for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-three fifths of a decade?\nAnswer: 792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a millennium in decades?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 2*m = 18 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 8.500379 nanograms?\nAnswer: 0.000008500379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1266*n**3*z - 1604*n*z**3 + 16*z**3 - 13*z - 14721 wrt n.\nAnswer: -3798*n**2*z - 1604*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 5061?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.25228 to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 140.2667 and -0.5?\nAnswer: -70.13335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9080495, -18160987, -27241479, -36321971?\nAnswer: -45402463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -853 - -858. Sort -20, w, 0, 4 in decreasing order.\nAnswer: w, 4, 0, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -812 + 821. Let p be (-3)\/(-9) - (-14)\/(-6). Let i be 0\/(o\/((-9)\/p)). Solve 2*t + u - 4*u = 17, -2*t + u + 11 = i for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2414862192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 - 15 = -2*h. Suppose -5*s - 3*z + 21 = -3*s, -3*s + 2*z = -h. Suppose -4*y = -18 - 26. What is the lowest common multiple of y and s?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 324156426 by -9822922.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 62*4\/(-8) + -2 + 1. Let z be ((-3)\/4)\/(8\/i) + 743. Suppose z = 3*s - 133. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6212116906.82 - -62?\nAnswer: -6212116844.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 6*c**4 + 34*c**3 + 24*c**2 - 4*c. Let a(k) = -13*k**4 - 69*k**3 - 46*k**2 + 10*k. Let g(r) = -2*a(r) - 5*b(r). Factor g(j).\nAnswer: -4*j**2*(j + 1)*(j + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (9 + 8 + -23).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 14160 * 0.003\nAnswer: 42.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -198000 - -197933.6583. Let d = 65.96 + g. What is d rounded to two decimal places?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.728 minus 23961?\nAnswer: -23963.728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6889 is divided by 2752.\nAnswer: 1385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(209)\/(sqrt(11) - sqrt(275)) + sqrt(608)\/sqrt(2))*2.\nAnswer: -45*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -7.9 and -3895.\nAnswer: -3902.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 12*u + 12*u + 9*u - 107 - 311. Let h be r(16). Does 110 = h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -647 - -647. Suppose y = 3*u - 24 + 18. Solve -5*z = 3*l - 12, 5*z = -u*l - 1 + 14 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/125 in -1, 6, -0.1, 1385, 2\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/200 and -1\/9.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -170 + 227. Let x = -23 + d. Which is greater: x or -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -9664351*g**2. Let b(y) = y**2. Give b(h(v)).\nAnswer: 93399680251201*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -37441*5\nAnswer: -187205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + 20*n - 32. Let h be k(18). Suppose -2*c - 40 = -4*c. Solve b - c = -h*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*y - 744 = 8*y for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*n**2 + 4*n + 1 + 5*n**3 - 41*n**2 + 1 - 3*n**3 to the form p*n**2 + t*n + k + b*n**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -80 + 81. What is the nearest to o in -17, 2\/11, 3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(304) + sqrt(19) + -1 + -3)**2 - (-2 + sqrt(76)\/(sqrt(28)\/(sqrt(63) - sqrt(7)))).\nAnswer: -32*sqrt(19) + 486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.06268 + -0.13732. What is the fourth smallest value in -256, 0.3, d, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44172 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -109?\nAnswer: -10d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -61 - -68. Suppose -l = q*k - 2*k - 408, 0 = 3*k - l - 248. Suppose -t + k = t + 3*s, -5*t - 5*s + 200 = 0. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 659*l - 4 = 663*l - 3*a, 9*l + 389 = 8*l - 871*a + 3875 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 204230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (4*sqrt(66))\/sqrt(6) + sqrt(11) + -3.\nAnswer: -1 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 7:02 AM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 1:01 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 518 + -499. Suppose r = 3*d + j, 17*d - 29 = 12*d - j. Determine o so that -2*o**d - 2\/3 + 14\/3*o**4 + 10\/3*o - 4\/3*o**3 - 4*o**2 = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1962339 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v**2 - v - 2. Let f be b(2). Let p be 12\/5 + f\/(-20). Suppose 99 = 9*k - 0. Solve -p*l - k = -1 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 184 + -184.4. Which is the second biggest value? (a) 4 (b) w (c) 527\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24*9\/(-378))\/((-6)\/7).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from nnqqqqqnqqn.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 53 and -6.2?\nAnswer: 59.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42.1 + 44. Let p = v - 2.1. Let j = p - 0.6. Round j to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 0.5, -0.1, 130.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -2*v - 5949, f - 5*v + 1692 - 7641 = 0. What are the prime factors of f?\nAnswer: 3, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 96936.07 tonnes?\nAnswer: 96936070000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*l - 2*z = 67*l - 27*l - 44, -60*z = -74 + 374 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of a**4\/24 + a**3\/6 - 6*a**2. Suppose -3*m - 3*k + 19 = m, 2*k + 2 = m. What is o(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 117*n. Let u(w) = -117*w. Let l(p) = 4*k(p) + 3*u(p). Let f(q) = q**2. Determine f(l(o)).\nAnswer: 13689*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 185688953 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, c: 8, i: 6}. Give prob of sequence ca.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a second in milliseconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -160947, -322003, -483227, -644703, -806515, -968747, -1131483, -1294807?\nAnswer: -1458803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67348 is divided by 9620.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 7 = -2*n, 0 = -2*n + 4*j - 7 - 1. Suppose 8 = c + y, 3*y - n = 2*c + 2. Solve -4*x - 2 - 4*x**4 + c*x**3 + 6*x**4 + 0 = 0 for x.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - w - 1. Let x(m) = 12*m**2 + 13*m + 13. Let r(z) = 7*z + 8 + 4*z**2 + 2*z**2 - 1. Let d(p) = -11*r(p) + 6*x(p). Give c(s) + d(s).\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*f - 66*f + 8*f - 14*f - 5*f - 2*f**2 - 6*f**3 to the form a*f + x*f**3 + c + b*f**2 and give a.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 2*q**2 + 2*q. Let d be p(2). Suppose -6*o + 18 = -d*o. Let w be 2\/o - (-8)\/(-9). Which is bigger: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yhwkhoty. Give prob of sequence owoo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 320, -5, 5 in decreasing order.\nAnswer: 320, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 372633 and 5013.\nAnswer: 1117899","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3*t - 230 = 0. Suppose -3*l + 481 = 4*o, -l + 475 = 7*o - 3*o. Let k = o - t. Solve -3*m = -0*w + 4*w + 26, -m = -k*w - 13 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - -5. Let o = r + -11. Is ((-2)\/6)\/(o\/(-2424)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 695323241 to the nearest integer?\nAnswer: 886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -9. Let w = -334 - -329. Put -4, t, w in increasing order.\nAnswer: w, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 49368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - r - 59 = -0*r, 5*l - 3*r = 65. What is the greatest common divisor of 16 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 174. Suppose 2*q + 3*q + f = 0. Let c(a) = -12*a + 60. Let w be c(8). Which is bigger: w or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) -2.5 (c) -0.01 (d) 0.1 (e) 11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*a**2*l**3 - 544362*a**2*l + 3*a*l**4 - 15*l**4 + 28*l**3 - 3*l**2 wrt l?\nAnswer: 30*a**2 + 72*a*l - 360*l + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-1\/8))\/a**(-7))**(-13)*a**(3\/7)*a**(2\/19)*(a**(1\/4))**(-10) assuming a is positive.\nAnswer: a**(-111019\/1064)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 3. Suppose -10 = -6*z + d. Suppose -2*o + 446 = -z*k, 5*o = -3*k - 747 + 1862. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/(-3))\/((-5)\/(-12465) - 0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 416\/(-780) + 4\/(-30) - (-64)\/114.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + -4 - -3)*18\/(-24). Let r = -46.7 - -46.5. Which is the nearest to r? (a) 2 (b) l (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5334 and 1463259?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 55, 76, 115, 178, 271, 400?\nAnswer: 571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of z**4\/2 + 43*z**3\/2 - 376*z**2 - 4*z. What is y(-11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 10*t + 28. What is the smallest common multiple of u(6) and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 2*w + 60, -50 = 3*w + r + 39. Let i = w - -58. Calculate the remainder when 46 is divided by i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 - 15. Let k be 1 + f\/2 - -2. Suppose k*l - 231 = 5*l. Is l 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 ippispispss. What is prob of picking 1 i and 3 s?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -10*y + 120. Suppose 3 = 5*w - y. Suppose -2*v + 3*v - 157 = -3*n, -w*n + 177 = -3*v. What is the greatest common divisor of n and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 31 (b) -0.02 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4}. What is prob of sequence ccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + (sqrt(343))**2*-1 + sqrt(448) + -2 + sqrt(448) + sqrt(7).\nAnswer: -345 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 348 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -167*j**3 + 1321*j wrt j.\nAnswer: -1002*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 780 (base 15) to base 4\nAnswer: 122133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 25, -1 in increasing order.\nAnswer: -1, 0, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 27*m = -31*m - 17, 2*m = 2099*f - 2103*f - 10 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -0.5, 0.15 in decreasing order.\nAnswer: 0.15, -0.5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2700, -2250, -1462, -306, 1248, 3230, 5670, 8598?\n\"Answer: 5*h**3 + 139*h**2 - 2*h - 2842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -3233467.2 to the nearest 10000.\nAnswer: -3230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -188*a - 5251. Let y be j(-28). Solve -y*m + 172 = 94 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 26*d - 176. Let c(x) = x**3 - 16*x**2 + 3*x - 41. Let t be c(16). Let b be z(t). Solve -5*h - 24 = 3*y, 0 = 2*y - 0*y - 4*h - b for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*c + 608 - 6269. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13422430 + -54?\nAnswer: -13422524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - i - 3*i)*(-3*i + 3*i - 3*i**3) + 40*i - 40*i - i**4 - 61*i**4 - 84*i**4 + 30*i**4.\nAnswer: -110*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 24 = -2*m. Suppose -r + 3*r = 4*g + 44, -5*g - m = -r. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 7*s**2 + 6*s. Let y = 8 + -13. Let h be x(y). Solve 0 = -4*l - 0*l - h for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c - 2. Let m(t) = -29 - 16 + 77 - 25 + 7*t. Determine -6*m(v) - 22*u(v).\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*-1*462\/308.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 24, 2.\nAnswer: 0.2, 2, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3414*0.05.\nAnswer: 0.01707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 7:15 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 0 (b) 0.1 (c) 1.8 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 954635413?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221211022021 + -1121212?\nAnswer: 221202200102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 1092*x + 5845. Is 7 a factor of k(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - -31 - (0 + -5) - -13.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 7*d - 5*d + 1 + 3*d + 70*d. Suppose 24*o - 24 = 20*o. Is v(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, c: 1, x: 2}. What is prob of picking 1 c and 1 a?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 3*m**2 - 18*m - 48 = 0.\nAnswer: -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 + 0)*(824 + 264 + 20)*(-56*m + 55*m + 3*m**3 - 2*m**3) to i + q*m**2 + o*m + f*m**3 and give f.\nAnswer: 2216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -30, -127, -326, -663?\nAnswer: -1174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -230136.348103 + 230000.348. Let k = u + 136. Round k to five dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3 - ((-12)\/3 - 33)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1444.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 35*t + 6. What is v(-2)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -10*c - 178. Let j be p(-18). Solve -j = 3*v + 10 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 3:30 PM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sr when two letters picked without replacement from {r: 3, o: 1, b: 2, s: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12511 + 12511. Suppose -5*s - 76 = -b - 3*b, b + 4*s + 2 = 0. Solve -4*r + 4*y = r - 28, 3*r - y - b = t for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 + (-76)\/28)*3. Put 2, 3, y in increasing order.\nAnswer: y, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (7\/2)\/(4\/8). Let m be 7*14\/441 + (-799)\/(-9). Let d = 166 - m. Calculate the highest common divisor of d and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 46*p + 72. Give i(-48).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - -2)\/(19\/95). Let a(r) = 5*r - 23. Let s be a(y). Let q(g) = 2*g**3 + 2*g**2 - g - 2. What is the units digit of q(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1073541, -1073542, -1073543, -1073544, -1073545, -1073546?\nAnswer: -1073547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 667328359.\nAnswer: 667328359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, -7, -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2374822.\nAnswer: 2, 1187411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 1002 = -4*q. Suppose 75 = -h - 4*j, j - 2*j = -4*h - q. Let u = 87 + h. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -160559, -160500, -160425, -160328, -160203, -160044, -159845, -159600?\nAnswer: -159303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 6536*z**3 - 6*z + 3. Let w(u) = -1653608*u**3 + 1520*u - 760. Calculate -760*h(f) - 3*w(f).\nAnswer: -6536*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/2, 1\/33, -0.5, -32, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2940713563 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.08383 - -1410\nAnswer: 1410.08383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -158, 22, 218, 436, 682, 962, 1282, 1648?\nAnswer: 2066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 5*l - 112. Let j(a) = 40*a**2. Determine c(j(o)).\nAnswer: 200*o**2 - 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 1:39 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1847 divided by 53?\nAnswer: 1847\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19758017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 627376.\nAnswer: 2, 113, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 142342 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36906*o**3 + 6*o**2 - 11 wrt o.\nAnswer: 221436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17275288 to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/5 + 344*d\/5 + 29584\/5.\nAnswer: (d + 172)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29156797?\nAnswer: 59, 331, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 63453 (base 7) to base 13\nAnswer: 7194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -61 - -33 - -27 - (-2 + 0 - 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1 - 3\/(-2))*((-19968)\/(-80) - 4) is divided by 125?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/4)\/(3\/4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*2*(0 + 2 + sqrt(425) + 1).\nAnswer: 18 + 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 0, -22, -8 in decreasing order.\nAnswer: 3, 1, 0, -8, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 974808 and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a millennium in months?\nAnswer: 62400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 3:43 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p - 32*p + 3959164 = 691594. What is p rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/32814 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from kccccccccckcmcm.\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - 10. Suppose 0 = -4*v - f. Let r be 5\/(15\/(-9))*v. Solve -4*y = r - 11 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4365\/450 - (13 + -3))\/(2\/4 + -1)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 3*v - 6 - 22, 19 = -3*y - 4*v. Let o(h) = 2*h**2 + 20*h + 38. List the prime factors of o(y).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 600*w - 600*w. Let s(m) = -372 - 6*m**2 - 18*m**2 + 372. Determine s(c(g)).\nAnswer: -24*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-390)*-3)\/(9\/45)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/(0 + -4) - (1 + -4). Suppose g*h - h - 6 = -5*k, -5*k + 5*h = -10. Let y = 3 - k. Solve y*m - 8 = -2 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(90))\/sqrt(5)*6)\/(2*(-3*sqrt(6) + sqrt(6)) - (sqrt(150)*3 + sqrt(150))).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1502 - -1497. Put -0.4, h, 47 in decreasing order.\nAnswer: 47, -0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*f - f - 65882*f**3 + 65890*f**3 to m*f + n*f**3 + w*f**2 + k and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s + 7*s - 7*s + 2*s + 10. What is the least common multiple of 16 and g(-12)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3566875.\nAnswer: 5, 13, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/140*-4)\/(3\/(-15))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 504 and 984?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64649 + 9*c**2 + 64649.\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = j, -3*j - 12 = -2*c - 242. Which is greater: -107 or c?\nAnswer: -107","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 3, -0.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-15\/4))**(-14) assuming k is positive.\nAnswer: k**(-133\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 13. Suppose -3*z + 2*z = 3. Let j be (z\/(-8))\/((-3)\/(-24)). Solve 0 = -j*n - r - 0, n = -g - 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d - 2*d + 6. Let k(z) be the first derivative of -2 + 2\/3*z**d + 0*z - z**2. Factor k(s).\nAnswer: 2*s*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10140219 is divided by 1930.\nAnswer: 1929","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 0. Let q = k - 11. Let p be (-1 + -1)\/q*(-102)\/(-68). Solve 0*m = 3*m, -5*m = -p*h + 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) -1\/22 (c) -3066 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 20, 61, 152, 317, 580, 965?\n\"Answer: 4*h**3 + h**2 + 10*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 1987 and 1992 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-3)*i)**18\/(i**(-16)\/i*i\/i**(-8\/5)) assuming i is positive.\nAnswer: i**(522\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 333831.859 to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 21. Solve -4 + h = 3*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74115139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -3. Suppose -23 + 2 = c - 5*u, -2*u + 10 = n. Suppose a = 2*z + 13, 2*z - c*z = 2*a - 26. What is the highest common factor of a and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2 + 480290*i + 480285.\nAnswer: 5*(i + 1)*(i + 96057)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, n: 3, e: 6, v: 6, h: 1, y: 1}. What is prob of sequence hoyn?\nAnswer: 1\/24480","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 22715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18022229009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04 and -3579324.\nAnswer: 143172.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -8930 * -217\nAnswer: 1937810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2674 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n + 37. Calculate the remainder when v(0) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15780 and 2456420.\nAnswer: 7369260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 426 - 207. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 9) in base 14?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -2) + (-27 - -1 - -23) + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 76383972 to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*z + 4)*(-1 + z + 1) - 4*z**2 + 0*z**2 - 2*z**2 + 4*z - 3*z + 0 - 2 - 7*z**2.\nAnswer: -15*z**2 + z - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -0.4 (b) 2 (c) 19 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 98650796 to the power of 1\/2, to the nearest integer?\nAnswer: 9932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 95200459?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5737\/8 - 711. Calculate the common denominator of 45\/8 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35532 is divided by 867.\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0334731557 to five decimal places.\nAnswer: -0.03347","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/77)\/(d\/(d\/(d*d\/((d\/d**(-2\/21))\/d)*d))*d)*(d\/d**5)**(-29) assuming d is positive.\nAnswer: d**(3700\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 33 = -3*i. Calculate the highest common factor of i and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -m**8\/1680 + m**6\/120 + m**5\/60 - 22*m**3\/3 - 47*m**2. Let n(g) be the first derivative of s(g). Solve n(u) = 0 for u.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189*p + 189*p + 3305*p**2.\nAnswer: 3305*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1884\/15)\/((-7)\/(-35))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a meter in centimeters?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*p**5 - p**5 + 16*p**5 - 16*p**5 + 18*p**3 - 18*p**3 + (0*p**2 - 4*p**2 + 3*p**2)*(-1 + 21*p**3 - 20*p**3 + 5).\nAnswer: 3*p**5 - 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is p in p**4 - 133914*p**3 + 803460*p**2 - 1606904*p + 1071264 = 0?\nAnswer: 2, 133908","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o\/(o\/(o*o\/(o*o**(2\/3)*o)*o*o)))))**(-13)\/(o\/(o\/(o*o\/(o\/(o\/o**(-2\/7)))))*o*o)**23)**(-3\/20) assuming o is positive.\nAnswer: o**(1217\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 32, 28, 24, 20, 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -9*a - 2. Give s(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l**2 + 13*l - 42. Suppose 8 = -2*q, 4*v + 4*q = 29 + 55. Suppose 3*j = -3*a, 4*a = -0*a + j + v. List the prime factors of n(a).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0031531 from -0.09205.\nAnswer: -0.0888969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 0 (c) 421\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-8))\/(7\/(280\/(-15))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**5\/3 + 10*z**4\/3 + 8*z**3 - 16*z**2\/3 - 112*z\/3 - 32 = 0.\nAnswer: -6, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of -f**6\/120 + 7*f**5\/60 + f**4\/8 + f**3 + 11*f**2. What is the units digit of x(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 1113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.027, -1, -3\/2 in descending order.\nAnswer: -0.027, -1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(22)\/(sqrt(10)\/sqrt(5)) + sqrt(11) + (sqrt(110)*2)\/sqrt(10))**2.\nAnswer: -16*sqrt(11) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-3)\/2 - 0\/(-2))*-70 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102858 a multiple of 474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 4 + (0 - 4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -364*w + 1421. Calculate r(4).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 10*i**2 + 3. Let u be d(-10). Suppose u*p = 10 + 65. Solve l + p = -4*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 5*f = 45, 292 = t + 8*f + 277 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 <= 125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of 17*d**3\/6 - 25*d**2\/2 - 43*d + 23. Suppose 2*z - 14 = -0. What is the least common multiple of 14 and u(z)?\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1)\/(-6) - (-59)\/(-18) and ((-399)\/(-28))\/(-19) + (-494)\/(-24).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -20*(-1)\/(25\/10). Suppose 24 = -0*y + q*y. Suppose -9 = -y*c + 30. What is the highest common divisor of 117 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -444 - -430. Let u be 6\/a*((-13370)\/(-15))\/7. Which is greater: -56 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-11769600)\/18)\/4*(-90)\/12. What is k rounded to the nearest ten thousand?\nAnswer: 1230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 t when two letters picked without replacement from bbtibbibnbnbbbn?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1294146416.\nAnswer: 2, 1453, 55667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eefefeeererrfr. What is prob of picking 2 f?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4861795728 - -4861795711.199999768. Let n = w + 16.8. What is n rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, l: 3, g: 4, f: 8, z: 3}. What is prob of picking 1 l, 1 z, and 1 f?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48) + 0)*-5)**2 + sqrt(48).\nAnswer: 4*sqrt(3) + 1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -5*y + 3. Calculate the smallest common multiple of b(-3) and ((-18)\/2)\/(-3) - -19.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 95 + -62. Let k = 29 - n. Put -1, k, 0.4 in decreasing order.\nAnswer: 0.4, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -5*i - 2 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - q - 24. Suppose -3*a + 6*r + q = 11*r, 3*r + 22 = a. Calculate the remainder when 0\/(-3 + 1) - -50 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6 - (-38)\/6) + (-74)\/(-3). Sort p, 2, 3, -4 in ascending order.\nAnswer: -4, 2, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -5*x**2 + 834*x - 4273. Determine w(5).\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/436 and 46\/5.\nAnswer: 2180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2844, 11077, 24808, 44043, 68788, 99049?\n\"Answer: p**3 + 2743*p**2 - 3*p + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5*t + 180 = 0, -4*n + 7*t = 3*t - 672. Suppose -27*u + n = -24*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -97123330017\/4640 + 20931753. Let q = 3\/1160 + y. Find the common denominator of 71\/14 and q.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15920378*v**3 - 1 + 7960193*v**3 + 1 + 7960186*v**3.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -225\/427 or 387?\nAnswer: 387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-29)\/(-33) + 2\/(-6). Which is greater: 2 or r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-21)*(4\/(-12))\/1.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - 2*y)*(-2 + 1 + 2) - y + 0*y - 2*y)*(-1 + 2*y**3 + 1).\nAnswer: -10*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from lnxxlxm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97624*f**3 + 7 + 10*f - 7 + f.\nAnswer: 97624*f**3 + 11*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*w + 14123 - 13892 for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 2*k = -k - 13, a - 2*k = 7 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5 + 0 + 4*(2*sqrt(76))**2 + 3) + -5.\nAnswer: -2453","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2\/7 + 16254*s + 154112301.\nAnswer: 3*(s + 18963)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.183 + 0.008439.\nAnswer: 6.191439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.075577 - -3541971861?\nAnswer: 3541971861.075577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*g**3 + 2821*g**2 + 13796*g wrt g?\nAnswer: 18*g + 5642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22 * 0.05.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/11, -121.3774, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 4 = 5*h. Suppose -5*g - p + 37 = 3*p, p = -h*g + 28. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18.174 - 2576848.\nAnswer: -2576866.174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10363?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -14a93725?\nAnswer: -14a93721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -328032*m**2. Let s(o) = -139*o. Calculate s(l(z)).\nAnswer: 45596448*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(0*o + 4*o - 2*o)*(2 + 2 - 5).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 185100854?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/22347 and 8\/11583.\nAnswer: 2212353","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y\/(((y*y\/(y*y\/y**(-5)))\/y)\/y)))\/(y\/(y*y**(-2)))*(y\/((y*y**(-2\/9))\/y)*y)\/y**(-5\/3) assuming y is positive.\nAnswer: y**(-37\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10982 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 3\/2 (b) -4 (c) -59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 61 + -56 + (1 - -18) + -2.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**3 - 6*y**3 + 164*y - 15*y**3 - 164*y.\nAnswer: -24*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11975?\nAnswer: 5, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 1 + 19. Let r(f) = f**2 + 2*f - 1. Let a(u) = u**2 + 2*u - 1. Let q(g) = -4*a(g) + 3*r(g). Give q(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7559206 and 11086.\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6879 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 909498 or 909501?\nAnswer: 909501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -1 + 3 - s - 9. Suppose 55*n - 78*n - 138 = 0. What is p(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 2026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**3\/4 + 31*q**2\/2 + 773*q\/4 - 209 = 0 for q.\nAnswer: -44, -19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 12*t**2 - 17*t + 20. Determine b(-10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 16*r**2 + 6*r + 32. What is the tens digit of b(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3)*(0 + 1 - 3)*(-4 + 3 - 1)*(-37275*g + 2 + 37285*g + 4).\nAnswer: -80*g - 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 1.5 (b) 0.1 (c) -3 (d) 40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12314234 (base 5) to base 12.\nAnswer: -594b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*x - 972 = -106*x. What is the remainder when x is divided by 49?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17608492?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14609, 14622, 14635, 14648, 14661, 14674?\nAnswer: 14687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -110.4 in 2\/5, 4, -2, -1\/4, 5, -42?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*s + 0*s + 2*s)*(-1 + 2 - 2)*(-12 + 6 + 5)*(2 - 1 + 1)*(-s**3 + 6*s**3 - s**3) to the form x*s**3 + v*s + a*s**4 + h*s**2 + d and give a.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -g**4 - 424*g**3\/3 + 430*g**2 - 432*g + 735. Suppose x(n) = 0. What is n?\nAnswer: -108, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3048 + -29. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.634 - -5.634. Which is the third biggest value? (a) z (b) 1\/2 (c) 0.05 (d) -2\/23 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((m\/(m\/(m\/((m**(6\/7)\/m)\/m)))*m)\/m)\/m*m)\/m)**(4\/7))**(2\/17))**(2\/49) assuming m is positive.\nAnswer: m**(128\/40817)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 6103*g**2. Let h(n) = -3*n. Calculate d(h(y)).\nAnswer: 54927*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**5\/7 + 311*b**4\/7 - 3*b**3\/7 - 935*b**2\/7 - 622*b\/7 = 0. Calculate b.\nAnswer: -311, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*s - 13*s**3 - 5*s**2 + 15*s**2 - 10*s**2 wrt s.\nAnswer: -78*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 8 = 2*b, 2 = 5*b + 4*a - 14. Suppose -3*i + 26 + 10 = b. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-198)\/(-231))\/(135\/105)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 65\/16, -1, -3\/5, 2, -3, -0.023, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.11 + 5.11. Let a = -5.002 + p. Round a to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 g when two letters picked without replacement from ukfkukeegsekffeukseu?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 8*m**2 + 4*m + 2. Let j be l(8). Let t(c) = c**3 - 11*c**2 + 10*c + 38. Let q be t(9). Let r = q + j. Solve r = 2*n - n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34.133 + -0.133. Let z = -33 + 2. Let m = r + z. Which is the closest to 2\/5? (a) 0.4 (b) -12 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 4746*r - 4747*r - 4*m, 0 = -3*r - m - 5 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 9 = -11 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-2\/29)*n)**27*n**(1\/6)*n*n\/(n\/((n*(n\/(n*n**(-2\/5)))\/n*n)\/n)) assuming n is positive.\nAnswer: n**(49963\/870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 3281999?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.291, 2, 3 in descending order.\nAnswer: 3, 2, -0.291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/5 and -4\/109?\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 155 and 211699?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7278.\nAnswer: 2, 3, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5848974*m**3 + 120*m**2 + 12*m + 653 wrt m.\nAnswer: 35093844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4b1 + -12c76?\nAnswer: -13237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 15 = -4*d. Let s(b) = b**3 + 7*b**2 - 1. Does 13 divide s(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3523 divided by -2?\nAnswer: -3523\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36963 is divided by 1412?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 321*q - 324*q + 33 = -3*t, -17 = -2*t - q for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -7, 0.\nAnswer: -7, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 73, 101, 129?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -15*k + 1. Let l be p(-4). Suppose j + 3*j = 3*a - l, -5*j - 5 = a. What is the remainder when 28 is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 21*l - 19*l - 3*m, 5*l + m - 10 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 275, 509, 741, 971, 1199, 1425, 1649?\nAnswer: 1871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -31 - 3*u**3 + 57 - 32 + (-2*u - u + 5*u)*(-3 + 3 + 2*u**2) - 2*u**3 + u**3 - u**3 + (0 + 2*u + 0)*(4*u**2 + 0*u**2 - 6*u**2).\nAnswer: -5*u**3 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -5*i**4 - 25*i**3 + 420*i**2 = 0.\nAnswer: -12, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 0*l - 20 = 0. Let g(v) be the third derivative of 0*v**4 - v**2 + 0*v + 7 + 1\/20*v**5 + 1\/6*v**3 - 1\/120*v**6. Calculate g(l).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 - -20. Suppose 5*v + 5*t - 90 = l, -t - 28 = -v + 3*t. Let d = v + -16. Solve -d*p = -3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16599 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/11, -76, 3, -0.04, 0, -0.3.\nAnswer: -76, -0.3, -0.04, 0, 3\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 449893969 to the nearest integer?\nAnswer: 766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*q - 3*i + 5*i, -4*q - 2*i = -18. What is the second derivative of -4*z**q - 2*z + z + 2*z wrt z?\nAnswer: -48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(5 + -40) - -310*6\/84\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, t: 1, x: 3}. Give prob of picking 1 p and 1 x.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1900))**2 + 4.\nAnswer: 40*sqrt(19) + 1908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*b + 89 - 57 + 369 + 4*b**2 - 5*b wrt b.\nAnswer: 8*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10)\/3)\/(6\/(-9)). Suppose -3*c + 3*x = x + 22, -5 = r*c + 3*x. Let f be (-17)\/c - 2\/8. Solve -4 = -f*o - 24 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xsshyssxsxqqxhg. What is prob of sequence xh?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v**2. Suppose -88 + 23 = -5*k. Let u(r) = -5*r**2 - k*r + 5*r + 8*r. Calculate u(h(b)).\nAnswer: -80*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 11:50 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 8*k**2 - 9*k - 12. Let q be u(-5). Let j = q + 79. Is j a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 5*r**2 - 4*r - 5. Let v be t(-6). Find the common denominator of 47\/18 and (418\/v)\/((-16)\/(-6)).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -715.4 to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5698912, 5698913, 5698914?\n\"Answer: t + 5698911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 4\/35, -103, 0.547?\nAnswer: 0.547","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96769 is divided by 151.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2177829?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 + 42. Suppose 4 = -v*h + 11*h. Suppose 3*i + h*o - 13 = 0, 0*i + 75 = 5*i - 4*o. Sort 2, i, 1\/2 in descending order.\nAnswer: i, 2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**3 - 9*i**2 - 4*i - 1. Let n be o(5). Suppose n*g - 6*g = -6. Solve b - 3*m = -0*m - 20, -g*b - 2*m - 5 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -98330\nAnswer: 1\/19666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 896 - 895.7. Let l be 1\/4 + 42\/(-8). What is the second biggest value in l, 0.6, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (9810 + 48*v**3 + 10*v**2 - 9810)*(2*v + 0 + 0) as h*v + p*v**2 + t*v**4 + q*v**3 + l and give t.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-24)\/(-3)*(1 + 0). What is the units digit of (-3)\/4 + 62\/f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 - -2*((-68)\/8)\/(-1). Suppose 2 = 8*f - k. What is the derivative of 20 - 61 - 13*p**f + 21 + 7 wrt p?\nAnswer: -26*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54 + -50. Suppose 3*k = -0*k + 108. Suppose i + 0*i + 2*y = 0, -y - k = -4*i. Calculate the highest common factor of t and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1334060749 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17206\/14541 equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11b6 + 6?\nAnswer: 11bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - z - 2 - 2*z)*((-3 + 6 - 4)*(2 + 1 - 5) + 6 - 2 - 3 + 1 - 2 + 0).\nAnswer: -6*z + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and 979.\nAnswer: 975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 4*z = -83, -3*u + u = 5*z - 67. Suppose u*g = 23*g - 6. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 6 = 78. Let d be 2\/(-3*1\/(-6)). Suppose -w + 2*w - 2*b - a = 0, -d*w + 85 = b. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by (-63)\/14*40\/(-6).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0500763 rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -3*k + 1401, -3*o - 3568 = -5*k - 1233. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -218210 by -5.\nAnswer: 43642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25532 - -1?\nAnswer: 25533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 8*r**2 - 10*r + 16. Let o be (2\/9)\/((-48)\/(-108)) + 39\/(-6). Give c(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*n + 8 = 0, -5*t + 2*n - n = -14. Suppose -5*c + 2435 = 5*u, 2*c + u = -t*c + 2427. Is 97 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1441018.\nAnswer: -1441017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i**2 + 3*i**2 - i**2)*(-17*i**2 - 12*i**2 + 28*i**2) to z*i**3 + s*i + y*i**4 + a + b*i**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s**(-16)\/s)))**36*(s*((s\/s**(-7))\/s*s)\/s)\/((s*s**17*s)\/s))**(3\/7) assuming s is positive.\nAnswer: s**(-1866\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -11, -2, -1, 6678, 1 in increasing order.\nAnswer: -11, -2, -1, 0, 1, 6678","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9427003 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -73*v + 1. Let f be o(-1). Let r = 7 - 4. Suppose -f = -r*z + z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36324 and 6?\nAnswer: 36324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 6209116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/(-6))\/(4\/(-66)). Let h(r) = -r**2 + 3*r**2 + r - y*r. Is 14 a factor of h(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 40*l - 2857. Give f(71).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 0 + -5 - (-54 + 22 - -30)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1490 and 446106.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163726404*t**2 - 15*t**3 + 95*t**3 + 163726407*t**2.\nAnswer: 80*t**3 + 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 - 8)*(0*t**2 + 0*t**2 - t**2 + 4*t**4) as s*t**4 + v*t**2 + y + r*t**3 + l*t and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2, 67, 168, 305, 478?\n\"Answer: 18*w**2 + 11*w - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1334.957891 + 1335.08. Let t = -1640.878 - -1641. Let x = o - t. Round x to 5 decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rerhsrserhrerhshrrrs. What is prob of picking 1 e, 1 s, and 1 h?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/25438, 0.3, 1\/2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + 2*n - 35. Let b be g(6). Suppose -24 = 5*l - b*l. Solve 8*f - l*f = -20 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 236621 by 6.\nAnswer: 236621\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + 8*b + 4. Let w be a(-7). Suppose 0 = 5*p - 205 + 65. Suppose -2*j + 9 = -5*y + 2*y, -5*y = j + p. Is j smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 3 - 6 + (-2 - 2 + 3)*(-65 + 139 + 147))*(0*y**3 - y**3 - 2*y**3) to the form l*y**2 + h + j*y + w*y**3 and give w.\nAnswer: 660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/68070480 and 173\/95298672.\nAnswer: 476493360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46131283 divided by 46131283.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xppppxpxxxppx. Give prob of sequence xxp.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of y**7\/3780 + y**6\/180 - 7*y**5\/180 + 4*y**4\/3 - y**3\/3 + 2*y + 7. Let h(z) be the third derivative of c(z). Factor h(f).\nAnswer: 2*(f - 1)*(f + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1247, -10073, -34029, -80681, -157595, -272337?\n\"Answer: -1261*x**3 + x**2 - 2*x + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -85 (b) -0.1 (c) 1 (d) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((40\/(-12))\/5)\/(26\/(-6))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.064 - 9.464. Let o = p + 6.4. Which is the nearest to -1\/6? (a) o (b) 0.3 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(1\/9)*b**(-2\/11) assuming b is positive.\nAnswer: b**(-7\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s - 2*s**2 - 4 - 5*s + 3*s**2. Suppose 5*c = -4*v + 4*c - 29, 2*v + 7 = c. Let d = v + 9. What is z(d)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-225)\/45*((-1)\/10)\/((-1328)\/96)\nAnswer: -3\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 70859\/1068 or 66?\nAnswer: 70859\/1068","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/k**(-19))\/((k\/(((((k**27*k)\/k)\/k)\/k)\/k*k))\/k) assuming k is positive.\nAnswer: k**46","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 82 + -54. Suppose 0 = -0*d + 4*d - 2*u - o, -2*u = 3*d - 7. Solve 2*k = 5*g + 17, -2*k - k = -d*g - 18 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**3 + 3*o**2 - o - 324. Let i be x(0). Let n = 1360 - i. List the prime factors of n.\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 706 divide 3124364876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 6*u**2 - 15*u - 10. Calculate j(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**3 + 455*d**2 - 470*d wrt d.\nAnswer: -12*d + 910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(5*sqrt(105)\/sqrt(3) - sqrt(140)*-6)\/(sqrt(15)\/(sqrt(3) + sqrt(108)*-1)))**2.\nAnswer: 809200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3095*j + 4 + 3098*j - 9231*j + 3017*j.\nAnswer: -21*j + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6058 - -10358. What is n rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b + 7. Let s(c) = -3 - 3*c + 5*c - c. Let v be s(-3). Let w be k(v). Solve 5*i - 9 = -d, 2*i = 4*d - i - w for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -2*j. Suppose 4*c = -j*c + 8. Suppose -c*d + 22 = 3*y, -2*d + 20 = 6*y - 2*y. Is 7 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125)*-1 - sqrt(5))*2 + (-4 + 2*sqrt(5) + sqrt(5) - (sqrt(15)\/(sqrt(9)\/sqrt(3)) - sqrt(5))))**2.\nAnswer: 72*sqrt(5) + 421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 20 - 5*x**2.\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -326 + 1533. List the prime factors of q.\nAnswer: 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**3 - 63*y**2 + 28*y + 21. Give q(31).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 445 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*i + 100*i + 35 = -5*p, 7*p + 46 = -4*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t. Let b(c) = 6*c + c - 3 - 5*c. Let x(n) = 2*n - 2. Let j(f) = 2*b(f) - 3*x(f). Calculate j(u(i)).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - l)*(7*l - 7*l - l**2) + 1 + l**3 - 1 - 1 + 3113*l**3 + 2 - 160*l + 160*l - 1.\nAnswer: 3115*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 - 14. Let c = g - 8. Let y be 4 + -1 + 70\/(-22). What is the closest to c in y, -0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3728096 bigger than -3728096?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) + 0)*2*-6)**2.\nAnswer: 88128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -4*m + 5. Suppose -m*u + 32 = -u. What is the remainder when u is divided by ((-3)\/(-4))\/((-2)\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 217 - 3257\/15. Let f = 0.5 + -3.5. Let y = f - -2.5. What is the closest to 1 in -0.3, y, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 183767, 367498, 551229, 734960?\nAnswer: 918691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -3, -6.\nAnswer: -6, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-3 - (-2 - (-7 - -3)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7156, 7148, 7130, 7096, 7040, 6956?\nAnswer: 6838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/24 - 18390\/(-16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6041397.039269 + 8490690.039256. Let l = i - 2449282. Let z = -11 + l. Round z to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 11*z**2 + 601*z + 4402. What is b(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*q + 23*q + 4*z, 5*q - 29 = -3*z. Let r be 6\/(-3)*(-3)\/(-4). What is the nearest to 10 in r, -3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 1, -6, -120?\nAnswer: -120","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 10*v**2. Let a(y) be the third derivative of 0*y**3 + 0*y + 0 + 0*y**4 + 1\/30*y**5 - 3*y**2. Give j(a(x)).\nAnswer: 40*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3307?\nAnswer: 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a millennium in decades?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21422 or 21229?\nAnswer: 21422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 - 288 = -14*d. Suppose d*u = -3341 + 11141. List the prime factors of u.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/1628991 and 59\/41067.\nAnswer: 4886973","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(228) + sqrt(228))*-1)\/(sqrt(1200) - -2*sqrt(1200)).\nAnswer: -sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 4*m - 1033 = -401, 0 = -5*m - 25. List the prime factors of i.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -f**5\/20 - f**2\/2 - 2*f. Let h(o) = 16*o**3 + 4*o + 5. Let s(q) = h(q) + 5*m(q). Find the second derivative of s(r) wrt r.\nAnswer: 66*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zdq when three letters picked without replacement from {z: 7, q: 8, d: 3}?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248238 is divided by 16549?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t\/(t*t**(-3\/7)))\/t)*t**(-11))\/(t**(-2\/13)\/t**(-5)) assuming t is positive.\nAnswer: t**(-1299\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1616 is divided by 1601.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38.49 + -12.37. Let x = r - 30. Let j = x - 0.12. Which is the fourth smallest value? (a) -5 (b) 4 (c) j (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -21000120?\nAnswer: 21000201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 21 - 21 - (0 + -2) - -30. Solve -5*m - n = -24, 4*m + n - l = -3*n for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/3*(-1*4)\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -316694934*g**2 + 424*g + 2602.\nAnswer: -633389868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 80 divided by 20\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 4*l**2. Let c(y) be the first derivative of 0*y + 1\/3*y**3 - 2 + 0*y**2. What is a(c(h))?\nAnswer: 4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**3 + 17*p**2 - 32*p - 4. Give m(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -1393, 85, 0, 5 in decreasing order.\nAnswer: 85, 5, 3, 0, -3, -1393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 7*f**2 + 8*f + 5. Suppose -3*p + 7*p - 32 = 0. Let i be b(p). Suppose -4*a + 2*u - 2 + 24 = 0, 3*a = i*u + 34. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 11 (b) -41 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 4:24 PM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -1\/3*o**3 + 2*o**2 + 0 + 1\/8*o**4 + 0*o. Let z be m(2). Solve z*v - 11 = -3 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23670 + 23670 - 31*z.\nAnswer: -31*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 1 + (-61 - -67)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.124 - 0.004. What is y rounded to one decimal place?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 6*r = -6. Let j = -205 - -212. Sort 5, -3, j, r in ascending order.\nAnswer: -3, r, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-6\/5)\/(i\/(i**(1\/4)\/i)))**(-1\/33) assuming i is positive.\nAnswer: i**(59\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-4))\/((-3984)\/448 - -9).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 6:44 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-272))\/((-61)\/(-30256)*-62)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 7:17 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 9 + 0 = 0. Let t be 3*(-2)\/9*r. Let b be t + -3*2\/(-4). Do -3\/5 and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 467 is divided by 59.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65071*a**3 + 97952*a**3 + 228362*a**3.\nAnswer: 261243*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q**(-5)\/q)\/q)*q\/(q**(-4)*q))\/(q*q\/q**3)**(1\/8) assuming q is positive.\nAnswer: q**(97\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r + 529 = 274 - 382. Calculate the smallest common multiple of r and 7 - 3*(-2)\/(-3).\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -24587.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3928236 divided by 22.\nAnswer: -1964118\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5074 is divided by 138.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 7*r**2 - 8*r - 688. What is t(11)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19257 + -19248. Let a(h) = 3*h - 25. What is a(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 0*u + 25 - 5 - u. Let l(s) = s**3 + 46*s**2 + 5*s + 216. Let v be l(-46). Calculate the remainder when g(v) is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1632911237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-6))\/((-310)\/1395)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/(-15))\/(2\/5). Let s(j) = 5 - j - f + 0 + 0 + j**2. Let i(m) = 2*m**2 - 2*m + 4. What is 3*i(o) - 4*s(o)?\nAnswer: 2*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -841*m**2. Let u(h) = -h. Determine u(w(p)).\nAnswer: 841*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 - -18. Suppose 0 = -2*c + 5*b - 8, h = -c - c - 5*b + 32. Solve 4*f - 2 + c = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 536000 rounded to the nearest ten thousand?\nAnswer: 540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**5\/3 + 47492*o**4 + 522444*o**3 + 3562214*o**2\/3 - 1852289*o - 5984454 = 0 for o.\nAnswer: -7, -3, 2, 142487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2594426 minus -1201108?\nAnswer: -1393318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 47d30 (base 16) in base 9?\nAnswer: 487500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -358 divided by 1.\nAnswer: -358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide ((-16474)\/(-5))\/((-294)\/(-735))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 674?\nAnswer: 674","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 3*f + 8 + 4*f**2 - f**3 + 0 - 7*f to n*f + l + x*f**3 + h*f**2 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3511 - -3514. Let z = -10 + 5. Let c be (z + (w - -1))*90. Round c to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**5\/3 + 176*i**4\/3 - 3136*i**3\/3 - 353792*i**2\/3 + 2933248*i\/3 - 5918720\/3 = 0. Calculate i.\nAnswer: -68, 4, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7301\/72 + 904\/9. Find the common denominator of -83\/24 and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qmum when four letters picked without replacement from mumqnu.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4287013 and 409223.\nAnswer: 1787","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 263775322*l**3 + 235123779*l wrt l.\nAnswer: 1582651932*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 + -4)\/(-1 + 0). Let a = j + -7. Solve 0*n + 5*n = a for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 - 16*u - 199. What is the remainder when j(-12) is divided by 82?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/2380 and 9\/3332.\nAnswer: 16660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 162*u - 702*u**2 - 162*u - 891*u**2 in the form h + k*u + t*u**2 and give t.\nAnswer: -1593","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 4307?\nAnswer: 1292.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-105)\/175)\/((-8)\/12)*100\/12.\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 750402?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19360 or 19386?\nAnswer: 19360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -4*g + 12, -4*g + 61*n = 63*n - 12. Factor 25*j**4 + j + 0 + 9*j**2 + 105\/4*j**g.\nAnswer: j*(4*j + 1)*(5*j + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -77, -4 in decreasing order.\nAnswer: 3, -1, -4, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 425, 856, 1291, 1724, 2149, 2560, 2951?\nAnswer: 3316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13450 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.957 + -0.097. Let m = 184556630 + -184556630.86000057. Let c = m + l. What is c rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196 - 12*t**2 + 161*t**3 + 307*t**3 - 195 - 43*t**3 + 12*t**2.\nAnswer: 425*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 15 = -5*l, -t + 4 = -4*l - 9. Suppose -t*i = -10*i + 955. Find the second derivative of 3*y**5 + 191*y**2 + 2*y - i*y**2 wrt y.\nAnswer: 60*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -25 + 2?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2972 is divided by 143?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r - 1456 = 72*r + 46*r for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 32*q**2 - 43*q + 2290. What is y(31)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2fdd (base 16) to base 8\nAnswer: 27735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 5, -3\/2, -2\/15, 2\/5 in decreasing order.\nAnswer: 5, 2\/5, -2\/15, -1\/4, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 50662675 divided by -1447505\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f + 4. Let b be d(3). Let v(x) = x**3 - 2*x + 1. Let m be v(2). Let g = m + b. Calculate the remainder when 35 is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**3 + 8*j**2 + 5*j - 8. Let h be d(4). Let m(u) = u**2 - 14*u + 22. Let y be m(h). Sort -0.1, y, 0.01 in decreasing order.\nAnswer: 0.01, -0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-1\/4)*y*y*y**(-1\/6)\/y)**(-4\/19)*(y\/(y*(y\/(y**1*y*y))\/y*y))**(3\/14)*(y*y**(-3)*y)\/y**(6\/11) assuming y is positive.\nAnswer: y**(-6827\/4389)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1550 + 18463\/12. Find the common denominator of y and -12 - -6 - 284\/(-24).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aj when two letters picked without replacement from {i: 11, j: 3, h: 1, a: 4}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -1*sqrt(605))*4)**2.\nAnswer: -1056*sqrt(5) + 9824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -758836 + 1383676. Let j(g) = -38162*g**2 + 2*g. Let k be j(1). Let p = k - f. What is p rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x - 7. List the prime factors of w(-10).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 100 = b - 605, 5*q - 495 = -3*b. Suppose 0 = -3*m + q + 6. Let j = 39 - m. Solve 0 = -t + j, 5 = 4*y + 3*t - 16 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-2 - ((7 - 4) + -2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -305 - -311. Solve -r*c = c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 49225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46996, 46925, 46808, 46645, 46436, 46181?\nAnswer: 45880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14504489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = v + 24, 0 = -2*v + 3*z - 10 - 3. Let x be v\/(-5) - 84\/(-20). Solve q + 40 = -5*m - x*q, 0 = -q - 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 140 in -0.3, -2, -5\/6, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/2 + 4)*1. Suppose 2*f - 2*n + 2 = 0, g*f - 2*n = -14 + 3. Which is the smallest value? (a) -0.3 (b) f (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ck when two letters picked without replacement from {k: 4, f: 2, c: 2, h: 1, l: 5, s: 1}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 33*w**2 + 144*w + 284. Calculate q(-2).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**3 + 14*k**2 + 17*k - 3. Let d be ((-28)\/8*6)\/(-1). Let b = d - 31. Is c(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12010 - 1010200?\nAnswer: -1022210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a19 (base 15) to base 14.\nAnswer: 4739","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 4*y + 3. Let o(t) = -21*t + 7 - 6 + 4 - 20. Give 11*f(d) + 2*o(d).\nAnswer: 2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 34*r = -30*r - 31, 2*r + 2 = 2*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3036856881?\nAnswer: 3, 37, 1753, 15607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 91*y**3 - 3549*y**2 - 17. Determine x(39).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ah when two letters picked without replacement from hhhhhhhhahah.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 627 is divided by 49.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 z when three letters picked without replacement from mrzmzzrmzzm?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 2, 3 in descending order.\nAnswer: 3, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 584*b**2 - 2*b - 5. Let r(h) = -1171*h**2 + 4*h + 10. Let s(w) = 5*g(w) + 2*r(w). Is s(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6 + 299\/46)\/((-3)\/(-486)). Solve w*t + 106 = 28*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10323 is divided by 2579?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.226 - 0.026. Let t = 1 + -0.5. Sort z, t, -4.\nAnswer: -4, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -5 - (0 - 4 - (13 - 15)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 92574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 + 0*z**2 - z**3 + (2*z + 0*z + 0*z)*(0*z + z**2 + 0*z) - 3279*z + 55*z**3 + 3279*z + (z**2 + 0 + 0)*(-z + z - z))*(z**2 - 2*z**2 - z**2).\nAnswer: -110*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 196*g - 44 + 16 + 193*g + 18.\nAnswer: -3*g + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*v - 12 = 0. Let j(s) = s**3 - 13*s**2 + s - 11. Let u be j(13). Suppose -3*a - u*r = -11 - 14, 4*r = v*a. Which is smaller: a or 6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -275 + 3573\/13. Let z be 340044\/(-17134) - 2\/13. Which is the second biggest value? (a) -3 (b) z (c) v (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42967090 is divided by 1759?\nAnswer: 1756","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 228067745*w**4 - 12266*w + 947 wrt w?\nAnswer: 2736812940*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2381?\nAnswer: 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + m. Determine q(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1293473?\nAnswer: 1293473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xjip when four letters picked without replacement from {j: 1, i: 2, x: 1, p: 1, m: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 323807?\nAnswer: 11, 29437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 927685?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86880438?\nAnswer: 2, 3, 17, 31547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.07 - 3.2. Let o = b + 0.32. Does o = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 27. Let x = 14.2 + v. Round x to zero decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*t**3 + 85*t**2 - 85*t**2.\nAnswer: -9*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15.625 - -164.55. Let v = o - -2.925. What is v rounded to the nearest 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g - 2*v - 2 = -4*g, 0 = -5*g + 3*v + 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, w: 15}. What is prob of picking 3 w?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 7*l**3 + 2*l**2 + 4*l. Let z(p) = -13*p**3 - 4*p**2 - 10*p - 1. Let n(f) = 7*x(f) + 3*z(f). Determine n(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of 137*x**5\/20 - 133*x**4\/12 - 2*x + 31. Find the third derivative of f(k) wrt k.\nAnswer: 822","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (10 - 13) + 14\/(-4)*-1744.\nAnswer: 6101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2\/3, 0.8, -1\/11 in ascending order.\nAnswer: -4, -2\/3, -1\/11, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 5*b + 117 = 0, m + 0*m + b - 47 = 0. Calculate the greatest common divisor of m and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6945226 milligrams to grams.\nAnswer: 0.0006945226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 33*o - 1. Let l(y) = -362*y + 11. Let t(u) = -2*l(u) - 22*w(u). Let d(v) = 303*v. Give d(t(p)).\nAnswer: -606*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -58, -5, 67.\nAnswer: -58, -5, 5, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -190076438 divided by -5?\nAnswer: 190076438\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 8, 3, -1 in descending order.\nAnswer: 8, 4, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 z when two letters picked without replacement from {s: 2, h: 2, n: 3, d: 2, z: 6}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.047? (a) -5 (b) -803 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 515*v + 500*v + 515*v + 22*v**2 - 1528*v + 68*v**2 + 10*v**3 to d + p*v**3 + c*v**2 + l*v and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 92, 5, 2.1, -3, 2\/9 in descending order.\nAnswer: 92, 22, 5, 2.1, 2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2. Let o(z) = 3. Let w(d) = 1. Let y(j) = -2*o(j) + 7*w(j). Let i(g) = -g + 3. Let k(p) = -i(p) + 3*y(p). Calculate x(k(s)).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 15 = u, 3*u = 6*u + 3*d - 15 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**2 + 4*y - 11*y**2 + 8*y**2)*(1 - 2*y**3 - 1).\nAnswer: 12*y**5 - 8*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 543886613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19780 - -1.3.\nAnswer: -19778.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*m + 3. Suppose l = -q + 5*l + m, q = l + 2. Let c(w) = 0*w**2 - w**2 + 2*w**q. Let b(p) = 3*p**2. What is b(c(h))?\nAnswer: 3*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssxzssaxasxaxxg. What is prob of sequence asz?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 7367 = -2111. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-144)\/(-2)*394\/3152.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*r**4 - 101067*r**2 + r - 4379778.\nAnswer: -192*r**2 - 202134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 103201325 - 5?\nAnswer: 103201320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 4*u - 28 - 15, 27 = u - 3*m. Let b = 4 + u. Let c = -10 + b. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35807668 by 35807668.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-10 - (1 - 5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4.03 and 1.2.\nAnswer: 5.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -161212, -161182, -161152, -161122, -161092?\n\"Answer: 30*g - 161242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 110421 at most 110284?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and 666.\nAnswer: 7326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3 - 348*k**2 - 702*k - 352.\nAnswer: 2*(k - 176)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*m + 16*m = 12 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.09? (a) 1.7 (b) -0.4 (c) 57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 10*t**3 + t + 1. Let o be n(-1). Let h = -7 - o. Suppose 4*a + 4*s - 84 = 0, h*s + 54 = 2*a + 2*s. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 228 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -30a969 (base 12) in base 7?\nAnswer: -6334524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*i - 7*i + 9*i. Suppose 9*m - 18 = -i*m. Suppose -2 = -y, m*y = 5*g + y - 1653. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/7327808 and 45\/1831952.\nAnswer: 7327808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -2, 5, 51, -1146, 1 in decreasing order.\nAnswer: 51, 5, 1, -2, -9, -1146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -125*g + 70. Let a(c) = -9*c + 5. Let o(w) = -55*a(w) + 4*t(w). What is the remainder when o(-4) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 7:28 PM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 137, -2, 3, -4 in decreasing order.\nAnswer: 137, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 h when four letters picked without replacement from {f: 2, u: 1, h: 1, w: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**3 + 11*q**2 + 2*q + 5. Let k be b(6). Let w = k - -45. Let x = -5 + w. List the prime factors of x.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/2*194\/23. Let a = -68477\/5405 + f. Let z = a - -546\/4465. Which is smaller: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 18 + 2?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -20.5, -3, 0.2, -2\/13, 2\/269, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8629992?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of x**4\/54 - 644*x**3\/27 + 643*x**2\/9 + 350*x + 9. Factor f(g).\nAnswer: 2*(g - 643)*(g - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -4 + -3 + sqrt(1100))**2 + ((sqrt(1100) + 0 + -2)**2 - (1 + -1 + sqrt(1100))**2).\nAnswer: -100*sqrt(11) + 1113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-100)\/(-525)*3\/2.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2 + 2*o + 82. Let x be w(0). Suppose -3*j = -3*c - 48, -c + 3*j - x = 4*c. Let g = c - -26. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -35500*h**2 + 101*h - 613. Let d be w(13). What is d rounded to the nearest 100000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/25 (b) -22 (c) 72\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(612) - sqrt(612)*-4*-2) - (-3*(sqrt(17) + -3*sqrt(102)\/sqrt(6)) + 3))**2.\nAnswer: 288*sqrt(17) + 39177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, n: 3, l: 1, a: 2, z: 3, g: 1}. Give prob of sequence zblb.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (176*y + 170*y - 380*y)*(y - y + 4*y**4) - 2*y**5 + 0*y**5 + y**5.\nAnswer: -137*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 124, 504, 1138, 2026?\n\"Answer: 127*x**2 - x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 2*t = -20, -12*t - 15 = 8066*o - 8069*o + 5*t for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65.04695 minutes to seconds.\nAnswer: 3902.817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1008 or -4\/771?\nAnswer: -4\/771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 78084 and 24?\nAnswer: 156168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 >= -98?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8597 times -0.093?\nAnswer: 0.1729521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 22*g**2 - 4*g - 1. Determine z(-2).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1003*w + 5149*w - 1912*w + 1754*w + 5608*w.\nAnswer: 9596*w","meta":{"dup_signals":{},"source":"polynomials__collect_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: b\"What is the vth term of -617, -919, -1329, -1901, -2689, -3747?\n\"Answer: -9*v**3 - 239*v - 369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/36817 and -131\/120492.\nAnswer: 1325412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tvxfayf. Give prob of sequence ayt.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + 4*b - 2. Let v be o(2). Suppose -c + v*c = 132. Suppose 0 = 5*y + 27 - c. Does 4 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from awxwawwxxxx. What is prob of picking 1 a and 1 x?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 152569694*r**3 - 58118537?\nAnswer: 457709082*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 3*o + 7*o + 13986, -34997 = -5*i + 2*o. What are the prime factors of i?\nAnswer: 7001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/9)\/(11\/(33\/4)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/4 + 18\/24. Suppose b*x - 13 = -1. What is the greatest common divisor of x and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36 + 57. Let u = m - 18. Solve -5*d + 10 = u*i, -1 = d - i - 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + 23*s - 10. Let m(t) = -3*t**2 + 48*t - 22. Let q(v) = -7*k(v) + 3*m(v). What is q(-9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2730185 or -2730186?\nAnswer: -2730185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 6 + n**3 + 2 - 2*n + 3. Suppose 11 = 3*z + 5*u - 11, 4*z + 2*u = 20. Is h(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 726520?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 11. Suppose 0*p - 4*p - j = 0. Is (-388)\/(2 - -2)*p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1617 and 2408736?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 46346410 rounded to the nearest 1000000?\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -50.35098 - 26.947984. Let a = 3.700646 - h. Let t = a - 81. Round t to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1 and 69089626290033?\nAnswer: 69089626290032.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10084.9 rounded to the nearest one hundred?\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qgex when four letters picked without replacement from ggggxxqgxepx.\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -23*y - 5 + 7 + 6 + 17*y wrt y?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.309 and -4731497.\nAnswer: -4731496.691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1183341\/151 or -7836?\nAnswer: -1183341\/151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*(0 + (1*(sqrt(512) + -1) + sqrt(512))*-5)*-2)**2.\nAnswer: -921600*sqrt(2) + 29505600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*(g\/(g*(g*g**(3\/11))\/g))\/g*g)\/g)**(-1\/7)\/(g**(-19)*g**17))**(-30) assuming g is positive.\nAnswer: g**(-4710\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 1446*r - 12. Is s(2) a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 6*v**2 + 2. Suppose 14*j - 24 = 8*j. Suppose j*u = -4*u + 48. Give t(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in 4, -0.1, -1\/4, 1\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13992 times 5?\nAnswer: -0.6996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 + 6)*(2*i**3 + 9*i**3 + 3*i**3) - i**3 + 0*i**3 + 0*i**3 + (-2 + i + 2)*(0*i + 0*i + i**2) + 0*i**3 - i**3 + 3*i**3.\nAnswer: 142*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 180\/73 or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3004 (base 5) to base 9.\nAnswer: -461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 217 - 1082\/5. Determine z, given that -3\/5*z**2 - 3\/5*z**3 + 0*z + 3\/5*z**5 + 0 + n*z**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 116*h**3 - h**2 + 6*h + 6. Give v(-1).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -31 (b) 3 (c) 2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19696 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3 - 1) + 0 - 3) + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 78467010 and 1055610?\nAnswer: 235401030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1936, 3871, 5804, 7735, 9664, 11591?\n\"Answer: -m**2 + 1938*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*t - 5*t. Let g = -24 + 24. Let d be -3 + (g - t) + 2. Solve -w + d*w = -2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*f**3*n**2 + f**3 - 5*f**2*n**2 - 8*f*n**2 + 11*f + 4*n**2 wrt f.\nAnswer: 18*f*n**2 + 6*f - 10*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19649, 20361, 21547, 23207, 25341, 27949, 31031?\nAnswer: 34587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.5 - -1. Let s = 3 - -25. Let r = 28 - s. What is the second smallest value in u, 4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p + 2. Let m be k(-5). Suppose -3*o - m + 104 = -5*h, -2*h = -3*o + 82. Let r be o\/30 - (-6)\/5. Solve -2*g = r*t, g + 20 = -t - 4*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 - 30. What is the third biggest value in d, -4, -4\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (25\/(-10))\/(37\/38 + -1). Suppose k = 11*v - 147. What is the least common multiple of 4 and v?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 3, h: 1, d: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -5*u**6\/6 - 4*u**3\/3 + 7. What is the third derivative of w(c) wrt c?\nAnswer: -300*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i**2 - 24*i - 16. Let n be h(-11). Suppose 19 = -5*m + 324. Let j = m + -42. Solve -5*y - j - n = -5*b, 16 = -4*y for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 841706157.\nAnswer: 3, 280568719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, w: 7, g: 1}. What is prob of picking 2 w?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 5*k - 2*k - k. Let i(r) = -11*r**2 + 5*r**2 + 38*r**2 + 15*r**2. Determine f(i(l)).\nAnswer: 94*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -364*q**2 - 28*q + 40. Let d be x(10). What is d rounded to the nearest 1000?\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 0*s - 2705. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 4*m + 12. Determine z(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 4*z + 8, -2*i = -4*i - z - 2. Let c be -1 - -1*(2 - -1). Does 11 divide 11\/2*(c + i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-3\/10)*y)\/y**(-2\/11) assuming y is positive.\nAnswer: y**(273\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15\/18*355\/(-25)*36\/(-6). Solve -16*l - 25 = g for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -396 take away -0.1015984?\nAnswer: -395.8984016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 24 + 903*p + 596*p + 517*p - 19. Is l(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 10*y + 15*y - 65, 8*w = 5*y. Let n be (12\/(-9))\/2*-6. Suppose 5 = n*b - 3. Put b, w, 4 in increasing order.\nAnswer: b, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*x = -5*g + 151, 3*g - 8*g - 2214*x + 18 = -2213*x for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of -7*c**4\/12 + c**3\/6 - c**2\/2 + 2*c - 40. What is g(-2)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -10 + 90. Suppose -v = -5*w + 10. Suppose -37*m = -318 - 89. Calculate the smallest common multiple of w and m.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 589 - 258. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 11:11 PM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 114*i - 8324. What is n(86)?\nAnswer: 1480","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/2 and 77\/34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15335*h - 7181*h - 8142*h.\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*n - 7*n + 6*n)*(6*n - 18*n - 15*n) as p*n**2 + o + f*n and give p.\nAnswer: 351","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + 143354415298.\nAnswer: 143354415266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, z: 2, l: 8, j: 4}. What is prob of sequence zlj?\nAnswer: 32\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57238092.\nAnswer: 2, 3, 53, 131, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 4 = -n. Solve a + 2 - n = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 1\/2 (c) -0.5 (d) -0.044\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 64028381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32072364 to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((2*sqrt(171))**2 - sqrt(171)) + sqrt(171))*6*5 + 3 + 4.\nAnswer: -82073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 67*i + 266. Let k be d(-4). Let u be (-2 - 1)\/(-3)*k\/6. What is the second biggest value in 1\/6, u, 1\/7, 3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 16 = -2*f, -2*f + 2 - 4 = 4*q for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-207)\/(-11) + (-14)\/(-77). Let d = 18 - l. Let g be d - (135\/(-10) + -3). Is g less than 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 61 + 20053573?\nAnswer: 20053654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148250 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 536 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 11111110001101110?\nAnswer: 11111110001101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 429 and 234.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 174*p**2 + 151*p**2 + 308*p**2 - 108*p**2 + 334*p**2 in the form k*p**2 + n*p + z and give k.\nAnswer: 859","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 2414458\nAnswer: -3\/2414458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22975467 and 563?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 608 and 3071820896?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gcgh when four letters picked without replacement from hchghghgggi?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k**5 + 6735*k**4 + 11350128*k**3 + 33828328*k**2 - 271730448*k + 317238768 = 0. Calculate k.\nAnswer: -3366, -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 1122111021?\nAnswer: 1122111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/14240 and -31\/4?\nAnswer: 14240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of 8\/5*t**3 - 11\/5*t**2 - 8\/25*t**5 + 7 + 1\/10*t**4 + 4\/5*t. Suppose j(n) = 0. Calculate n.\nAnswer: -2, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8975, -13249, -17523, -21797, -26071?\nAnswer: -30345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 14*g**3 - 6*g**2 + g. Let i(v) = 27*v**3 - 11*v**2 + 2*v. Let r(u) = 6*i(u) - 11*m(u). What is r(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4105 - (-1)\/3*3. Suppose -3*f + a = -265. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -559, -5, 1343, -49, -2 in increasing order.\nAnswer: -559, -49, -5, -2, 1343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4)\/sqrt(2))**2 + sqrt(2))*-5 + 2*sqrt(200).\nAnswer: -10 + 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1469 and 1622673.\nAnswer: 183362049","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 5*y + 12. Let c be t(3). Solve c*b - 4 = 5*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2880) + (sqrt(2880) + 6*(sqrt(2880)*-1 - sqrt(2880)))**2 + sqrt(2880) + (sqrt(2880)*2)**2 + -4 + -5)*-2*4.\nAnswer: -2879928 - 384*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -171 and -14325295?\nAnswer: 14325124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (133\/21 - 6)*12. Find the first derivative of -h*x**3 - 6*x**4 + 4*x**3 - 73*x**4 - 124 - 27*x**4 wrt x.\nAnswer: -424*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -44456, -88913, -133374, -177839, -222308?\n\"Answer: -2*a**2 - 44451*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 205\/2 in -0.09, 2, 0.4, -2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 742 + -737. Which is the third smallest value? (a) w (b) 20.8 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -42*p + 16 - 44*p - 9*p + 31*p wrt p.\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a - 4*a + 4*a - 2 - 3*a + 2 + (-a + 0*a - a)*(1 - 2 + 4).\nAnswer: -10*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 5*o = 10, 4*o - o = 2*c. Suppose 5*x + c - 31 = -2*k, x - 5 = -3*k. Suppose 3*h = x*q - 0*h - 151, 2*q - 2*h = 58. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - 56*o + 347. Let t be r(49). Solve c = -f - 3*c + 22, 0 = -t*f - 2*c + 18 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 100 and 1150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4 = -0. Calculate the remainder when 440\/28 - r\/(-7) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2157, 2159, 2161, 2163, 2165?\nAnswer: 2167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 87 - 83. Let k = 0 + 6. Suppose 5 = s - k. Calculate the smallest common multiple of w and s.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2132317 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 5754?\nAnswer: -5750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29900?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 388 is divided by 58.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + h + 8*h + (0 + 3 - 2)*(3*h + 3*h - 4*h) + 2*h + 2*h - h)*(-2 + 2 - 3*h**2).\nAnswer: -45*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = -17*n + 382 - 298 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24) - sqrt(216))*-5 - sqrt(48)\/sqrt(2)*4)\/(sqrt(80)\/(2*sqrt(360))).\nAnswer: 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1995086, -1995087, -1995094, -1995107?\n\"Answer: -3*q**2 + 8*q - 1995091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 2:28 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 669 + 10335. Suppose -4*o + 4 = 0, -3*o - 660 = 4*d - x. What are the prime factors of d?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -76a + 57?\nAnswer: -713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -1\/24*q**4 + 0*q - 5\/2*q**2 + 4 - 5\/6*q**3. Let u(l) be the second derivative of f(l). Give u(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -0.03 (c) 9 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-5 - (2 - 10 - -5))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.55 in -5, -1\/6, -7, -0.1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5554776, 5554777, 5554780, 5554785, 5554792, 5554801, 5554812?\n\"Answer: l**2 - 2*l + 5554777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + 4)\/(3 + -7)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 7:23 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, q: 2, z: 1, r: 5}. Give prob of sequence rz.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*j + 5*j + 20. Suppose -1 = 2*g + l, -2*g - 3*g + 30 = -j*l. Suppose 5 = 5*y - 5*u, -g = y - 2*u - 3. Solve -y + 4 = -3*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -151 + -1698. Is -1\/2 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 4*b + 16 + 5*b - 7*b. Let p be l(-7). Find the third derivative of 5*r**5 + r**p + r**5 - 6*r**5 - r**6 wrt r.\nAnswer: -120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -10 - 17)*-1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-908) - (-2 + 2). Let k = j - -1849\/4994. Which is bigger: 0 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 4*a - 7*a. Let c be (-82)\/(-10) + 8\/a. Suppose 11 - c = b. Sort 1, b, -1 in increasing order.\nAnswer: -1, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.021918702 to 4 decimal places.\nAnswer: -0.0219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45520*x**2 + 1 + 71989*x**2 - 25513*x**2.\nAnswer: 91996*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w + 32040 = -3*w. What are the prime factors of w?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -878, -884, -890, -896?\n\"Answer: -6*g - 872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 711641528?\nAnswer: 2, 13, 23, 297509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 320?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 3*l + 4, 5*z - 2*l - 6 = 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 5:22 PM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/125 - -276\/1625. What is the second smallest value in b, 2\/5, 1\/11?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4826*t**2 - 2769 with respect to t.\nAnswer: 9652*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -485658, -485543, -485306, -484911, -484322, -483503, -482418, -481031?\nAnswer: -479306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5546282 and 3?\nAnswer: 16638846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -821\/7 + 15611\/126. Let v be ((-3)\/36)\/(2\/7820). Let q = -340 - v. Find the common denominator of q and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2411*m - 168 = 2327*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/121 and 63\/55.\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15445, -13955, -12465?\nAnswer: -10975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -45, -47, -29, 15, 91?\nAnswer: 205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p + p**4 + 2*p + p - p**3 + p + 1 in the form u*p**3 + i + d*p**4 + w*p + s*p**2 and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -160*p**4 + p - 20?\nAnswer: -1920*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 + 47*v**3 - 11 + 25*v**3 + 0*v**3 + 2*v**2 + 2*v**4 to w*v**3 + f*v**2 + o*v**4 + k*v + m and give w.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*q - 110898 = -1216617. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 u when three letters picked without replacement from {c: 1, u: 1, o: 2, l: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j + 12. Let y = 161 - 157. Calculate the lowest common multiple of p(y) and (4\/8)\/(1\/24).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.02 + -5.02. Let w = -5.1 - r. Is 12 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45766 to the power of 1\/2, to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 12, t: 7}. What is prob of sequence uutt?\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -3*w**5 + 7*w**5 - 7*w - 13*w + 1. What is the first derivative of y(c) wrt c?\nAnswer: 80*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -61 + -46 + (-27 - (-28 + -26)) + 0 + 5.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (4 - 2 - 8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7)\/(28\/(-36))*16\/6. Suppose 22*c + 44 = p*c. Suppose 5*y = 2*j + 16, 5*j + 4*y = y + 22. Calculate the greatest common factor of c and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 + 42 = 2*v. Suppose -v*g + 803 + 627 = 0. Suppose 2*f = -22 + g. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 6\/7 (b) -4 (c) 3 (d) 3821\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 155\/16872 and -13\/74.\nAnswer: 16872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 944388 and 77256?\nAnswer: 54774504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/27*10\/(-35)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -36115 divided by 203?\nAnswer: -36115\/203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of x**3\/3 - x**2\/2 - 2. What is the units digit of z(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6332*h**2 + 61929 wrt h.\nAnswer: -12664*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 4*g - 145. Let m be d(39). Calculate the greatest common divisor of m and 440.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -54, -100, -45, 1, -1 in decreasing order.\nAnswer: 1, -1, -45, -54, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 200835?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(5\/3)*m)**(1\/86)*m*m\/(m*m\/(m\/m**(-1\/18))*m)*m\/(m**(1\/4)*m) assuming m is positive.\nAnswer: m**(-253\/1548)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -112221201222010112?\nAnswer: -112221201222010122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/9*0\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*t**3 - 5*t**3 - 7*t**3 - 3*t**3 + 76 as c*t**2 + l*t + r*t**3 + i and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - l - 5*a - 20 = 0, -4*l = -5*a - 20. Solve l = -4*v + 12 + 8 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 2*t - t + 109, -545 = 5*t + n. Let h = 238 + t. Suppose 3*g = -5*k + h, -4*g + 19 = -0*k + k. Solve 3*o = -12 + k for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 32. Let s = -351 + 381. What is the least common multiple of w and s?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 33 in decreasing order.\nAnswer: 33, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 612970 to the nearest 10000.\nAnswer: 610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5328.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139143732 is divided by 123?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2894 is divided by 145.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/1166 and -223\/42900.\nAnswer: 2273700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 12 = f + 1, 0 = 3*l - 5*f + 71 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68)*2)\/sqrt(2))\/sqrt(2) - (sqrt(1700) + (sqrt(1700) - (sqrt(1700) + 1 + sqrt(1700))) + -3 + sqrt(153)).\nAnswer: -sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = p + 8. Let w be 10\/p*(-12)\/15. Let f = 321 + -319. Solve -f*o + 4*z + 16 = w*o, -o = -5*z - 24 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zwzzwwww. Give prob of sequence ww.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 - 2. Let m = w + -7. Let g = -428561 - -428575. What is the remainder when m is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*o, -r + 15 + 5 = 5*o. Let b(n) = -n**2 - 5*n - 6. Let i be b(-4). Put r, 0, i in increasing order.\nAnswer: r, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -259 + -1?\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - r + 2. Let p be t(2). List the prime factors of 0 + p\/((-8)\/18).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 - 2 = 4*o - s, -13 = 5*o - 2*s for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17239409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-2))\/((-73)\/(-146))*-16?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/4)\/((-69)\/(-34)). Let p = 2\/23 - w. What is v in p*v**5 + 1\/3*v**4 - 1\/3*v**2 + 0 + 0*v - 1\/3*v**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - x = 2445, -5*f + 3*x = -f - 1637. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 2*w**2 + w. Let i be m(1). Calculate the smallest common multiple of 10 - ((-3)\/(-3) - i) and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -2*q - 2*q + 8, 3*b + 5*q - 17 = 0. Suppose -3*v = -b*l + 27, 2 = -2*v - 0. Solve -2*w + l*r = 2*r - 16, -5*w + r + 4 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, c: 1, t: 1, u: 1}. What is prob of picking 3 b and 1 c?\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**2 - 17*v + 24. Let w be y(7). Suppose -2*u + 2 = -w*u, -i + 8 = 4*u. Solve i*r - 10*r = -24 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 195*c**3*d + 31358*c**3 - c**2*d + 7*c*d with respect to d.\nAnswer: 195*c**3 - c**2 + 7*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 226931, -2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 435704.\nAnswer: 2, 107, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/3))**48*(f**(1\/9)*f)\/(((f\/(f\/((f**(2\/3)*f)\/f)))\/f)\/f) assuming f is positive.\nAnswer: f**(-122\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -132515403 minus 0.127?\nAnswer: -132515403.127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -327189 and 0.2?\nAnswer: -65437.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 9) to base 6\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 6*o = 2*j - 6, -4*j - 2*o = -12. Let u = -6 + 3. Let h be (-4)\/(-10) - u\/5. Solve k - j = h for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -201602.4 * -0.114.\nAnswer: 22982.6736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2155 = 8*z - 2179. Which is greater: -13 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 51 - 5. Suppose -1 = -d + i. Suppose -w = w - d. Is 12 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 7, 3\/7, -555, -0.6 in increasing order.\nAnswer: -555, -0.6, -0.5, 3\/7, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - x - 2*m + 18, 3*m + 11 = 2*x. Let c = 1 - 1. Let u(t) = t**3 - 1. Let y be u(c). Put x, y, -5 in increasing order.\nAnswer: -5, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g**(-2\/29)*g*g)*g\/(g*g**(2\/11))*g**5*g**3 assuming g is positive.\nAnswer: g**(2197\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - c + 2)*(0 + 0 - 2*c + 2) - 5*c + 5*c + 5*c**2 as f*c + p + x*c**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/125 and (5\/15)\/(16\/876).\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**12*g**(-6))\/((g*g\/(g**(2\/35)\/g)*g)\/(((g*(g*g*g**(-1\/6)\/g*g*g)\/g)\/g)\/g*g)) assuming g is positive.\nAnswer: g**(817\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005724041667 rounded to five decimal places?\nAnswer: 0.00572","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -59608*l**4 - 249*l**2 + 6*l + 1 wrt l?\nAnswer: -1430592*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9ee9b (base 16) in base 15?\nAnswer: -cccdc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 + -25. Suppose 9 = 2*z - f. Suppose -8 = -z*s + 3*s. Solve -10 = s*m - 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-1\/10)\/a**7)\/(a**(-4)*a*a**(5\/4)))**(8\/7))**(11\/4) assuming a is positive.\nAnswer: a**(-1177\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42008380 and 104220?\nAnswer: 3860","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47748 is divided by 1932.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4881 take away -5?\nAnswer: 4886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 64198.\nAnswer: 192594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 5, -4, 14 in ascending order.\nAnswer: -4, 1\/4, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -159, -1206, -2937, -5340, -8403, -12114?\n\"Answer: 2*s**3 - 354*s**2 + s + 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2488347683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, y: 3}. Give prob of sequence dyy.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of -s**6\/30 + 23*s**4\/12 - 19*s. What is the third derivative of h(a) wrt a?\nAnswer: -24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54 - 37. Suppose 2*x + b = -2*x + 128, 0 = -3*x + 5*b + 73. What is the remainder when x is divided by y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h. Let x(k) = -977*k. What is x(m(a))?\nAnswer: 2931*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20642, 20647, 20662, 20693, 20746, 20827, 20942?\nAnswer: 21097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: d (base 15) to base 16\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(2\/19)\/(s\/(s*s*s**(1\/12))*s)*(s\/(((s\/s**(2\/3))\/s)\/s)*s)\/s**8 assuming s is positive.\nAnswer: s**(-315\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t**3 + 116971*t**4 - 116972*t**4 - t + 31*t**2 + 1 + 4*t**3 as g*t**3 + m + o*t**2 + n*t**4 + p*t and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1088, -2225, -3362, -4499, -5636?\n\"Answer: -1137*g + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -2*m + 4*m - 2453, 4*z = m + 1952. Let d be -2 + z\/(-10) - 0. Let q = 51 + d. What is the third biggest value in q, -1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2 - n**3 + n**2 + 0*n**2 + 3*n + 4. Let t(k) = k**3 + 9*k**2 - k - 6. Suppose 5*y = -10 - 10, -5*j - 5*y - 65 = 0. Let i be t(j). Determine u(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, w: 11, f: 4}. Give prob of sequence kwk.\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from eeqeqeqeee.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/42*1)\/(6\/24). Let u = -988\/11 + 90. Which is greater: u or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of 0 + 5\/12*v**4 + 0*v**3 - 5\/56*v**8 + 0*v**5 - v**2 + 0*v**6 + 0*v + 0*v**7. What is the second derivative of u(f) wrt f?\nAnswer: -600*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15 - 12 - 13)*(4*v - 2*v + 0*v) - 41 + 14*v + 41 to l*v + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 22*n - 88. Let m be a(16). Suppose m*o - 425 = -697. Which is smaller: -33 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.004 + 0.304. Which is the nearest to 0.11? (a) -5\/3 (b) s (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.65 (b) 2 (c) -3 (d) 0.06 (e) 2\/5 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 71 = -4*a + 111, -3*a + 4*q = -38. Sort 0, -2, -209, a in descending order.\nAnswer: a, 0, -2, -209","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6676108 - -0.080612\nAnswer: -6676107.919388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*k**3 + 1876*k**2 - 33472*k - 327600 = 0. Calculate k.\nAnswer: -7, 26, 450","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -1. Let k(j) be the third derivative of -j**5\/20 + 3*j**3\/2 + 9*j**2. Suppose -h - 65 = -6*h. Suppose 3*v - h = 14. Calculate v*m(s) + k(s).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 28*u + 120. Calculate k(23).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 5. Suppose -3*q - 121 = 3*p - c*q, 0 = -3*q + 12. Let m = -30 - p. Solve f = 2*w - m, f + 24 - 5 = 4*w for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 1040*w**3 - 3095*w**2 - 4235*w - 100 = 0.\nAnswer: -1, -5\/208, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 4:27 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -111*j**4 - j**2*p**2 + 3*j**2*p + 33*j - p**2 wrt j.\nAnswer: -1332*j**2 - 2*p**2 + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i + 3*g - 245, -8910*i + 8909*i + 3*g + 2*g = 420 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7600 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33385.8817 - 33392. Let n = h + -0.0617. Round n to 1 dp.\nAnswer: -6.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 1\/5, -2770, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w, -2*v - 61*w + 56*w = -14 + 36 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 90803, 90801, 90799?\n\"Answer: -2*u + 90805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -1308*m**2 + 8 + 1309*m**2 - 8*m - m. Let t(x) = -6*x**3 + x**2 + x. Let l be t(-1). Give g(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-34)\/4)\/((-3)\/6) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 332267, -1 in increasing order.\nAnswer: -16, -1, 332267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/2 (b) -4 (c) -2 (d) 0.1 (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 8 - 3)*(-3 + 0 + 0)*(-2 - 9 + 1 + (-2 - 2 + 3)*(-2 + 0 + 4))*(-x**2 - 2*x**2 + x**2)*(-27*x**2 + 12 - 12).\nAnswer: -27216*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52, 108, 164, 220, 276, 332?\nAnswer: 388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/3880)\/((22 + -46)\/96)?\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 6*g + 4. Let h(x) = -3*x**2 - 13*x - 8. Let s be ((-63)\/(-12))\/(18\/24). Let y(a) = s*v(a) + 3*h(a). Let j be 2 - -2 - 0\/3. What is y(j)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**3 - 9808*s**2 - 2932*s**2 - 10461*s**2 + 3547*s**2.\nAnswer: 3*s**3 - 19654*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -307*s**3 + 617*s**3 - 311*s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/7))**(-2\/7) assuming t is positive.\nAnswer: t**(4\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29332 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -64, -35, -6?\n\"Answer: 29*x - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(64)\/sqrt(2))**2 - sqrt(32)) + 2.\nAnswer: -4*sqrt(2) + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 6 = 5*l. Let o be 1\/2 + 10\/(-36). Factor 0*c**l + 0 + o*c - 2\/9*c**3.\nAnswer: -2*c*(c - 1)*(c + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 102 + -100. Suppose 3*k + f*c = -181, -128 = 4*k + 3*c + 114. Let p = k - -55. Sort -6, -5, p in ascending order.\nAnswer: -6, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13398 + 13804. What is the highest common divisor of 841 and a?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 116 * -3273796\nAnswer: -379760336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 6:48 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 32036087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 372 + -295. Calculate the greatest common divisor of 7 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 35 = -j + 80, -4*j = 2*y - 496. Suppose q - o + j = -q, -3*q + 3*o - 186 = 0. Let m be (-2)\/9 + (-14)\/q. Solve 2*i = -m*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, e: 2}. What is prob of sequence zzz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 112 - 335\/3. What is the second smallest value in u, -0.01, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18942 times 0.08\nAnswer: -1515.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -691 (c) -176 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/32*(-48 - (-51920)\/1080).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/3 (b) -0.03 (c) 1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*((y*y**(-28))\/y)\/y*y)\/y**13)\/(y**28*y*(y**(-1)\/y)\/y) assuming y is positive.\nAnswer: y**(-66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 82*f*t**5 + 458*f*t**2 + 762785*f*t + f - 31*t**5 + 4*t wrt t.\nAnswer: 1640*f*t**3 + 916*f - 620*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*m - 5. Let u be 1 + 127 + m + -4. Calculate the highest common divisor of u and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by 92?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*24\/4*2\/(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8176 and 3593863?\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - h - 2*h)*(3*h - 2*h - 3*h - 1)*(-h**2 + 1 - 1 + (0*h - 3*h + h)*(5*h + 0*h + 12*h)).\nAnswer: -210*h**4 - 105*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nwn when three letters picked without replacement from {w: 2, h: 1, n: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, 246, 139629 in ascending order.\nAnswer: 1\/8, 246, 139629","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b + b**3 - 3*b - 3 + 3 + 2*b**3 + (-2*b**3 + 3*b**3 + 2*b**3)*(0 + 1 - 3) in the form y*b + s*b**3 + g*b**2 + i and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 396 and 968.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d - 2*d**4 - 2 + 7755*d**3 - 7753*d**3 + d in the form z*d**4 + t*d**2 + g + r*d + y*d**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(-20)\/(-5))\/18*1.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-33)\/(-9) + (-15)\/(-45) + -3. Which is the nearest to 1\/3? (a) -19 (b) -4\/7 (c) 2\/3 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (-4 + 5 - -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 50*n**2 + 7*n + 8. Calculate the remainder when d(-2) is divided by 65.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0166139214 rounded to 4 decimal places?\nAnswer: -0.0166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*y = 175*y + 100 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + -3. Suppose -i + 4*o = -0*o + 34, -4*i = 2*o + 154. Is (2 - (-60)\/b)*i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/86 and 15\/209582?\nAnswer: 209582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 132130231?\nAnswer: -132130233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 18*c**3 + 19*c**2 - 187*c - 9. What is the ten thousands digit of a(12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + (-18 - (0 + -8) - (3 + 3 + -13))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/8 + (-188)\/80 - -3. Let r be 4 - (2 - (-2)\/(-2)). Let y be (-3)\/(2\/(-8)*r). Which is the third smallest value? (a) p (b) -0.2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 1. Let p(r) = -4*r - 2. Let u be p(-1). What is the third smallest value in t, u, -0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17791602*t**3*u**3 + 3*t**3*u - t*u**3 + 50*t*u - 4*u**3 - 1230 wrt t.\nAnswer: 106749612*t*u**3 + 18*t*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1566623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d + 6. Let c(x) = -x + 11. Let t(n) = n - 4. Let k(h) = -c(h) - 2*t(h). Give -5*k(j) - 2*u(j).\nAnswer: -j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91394, -365598, -822596, -1462382, -2284950?\nAnswer: -3290294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*x - 38*x - 63*x - 31*x.\nAnswer: -31*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-33)\/(990\/(-200)) - 9)*21*-3. What is the highest common factor of d and 1960?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1163.7452394 rounded to zero dps?\nAnswer: -1164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (198\/154 - -14) + -15\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -54 + 0 + 0 + 100 + -122 + 4?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -18*i**2 + 25*i**2 + 14*i**2. Let a(q) = -5*q. Determine a(y(s)).\nAnswer: -105*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 6*l**4\/13 + 72080*l**3\/13 + 2826802*l**2\/13 + 11232592*l\/13 + 11734520\/13 = 0.\nAnswer: -11974, -35, -7\/3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48635.\nAnswer: 5, 71, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, a: 3, q: 2, j: 4, r: 8}. Give prob of sequence zqa.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of 20*a**3\/3 + 3*a. Let o(t) = 5*t**2 + 8. Let w(g) = -2*g**2 - 3. Let d(x) = 3*o(x) + 8*w(x). Determine d(m(z)).\nAnswer: -1600*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g\/(g**(-3\/8)*g)*g*g*g**(-19)\/g*g*((g\/(g*g**(-11\/3)))\/g)\/(g\/(g\/g**(5\/7))) assuming g is positive.\nAnswer: g**(-2297\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1291 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -10, 5, 1, 6, -482 in descending order.\nAnswer: 6, 5, 1, 0, -10, -482","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 10. Suppose 4*h + 4 = -8. Let j be u\/(h\/(-9)) + 0. Let k(b) = -b**3 - 5*b**2 - 3*b + 3. What is k(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54664 (base 10) in base 11?\nAnswer: 38085","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*w + 13*w + 13052178 - 4*w + 15*w - 13052178.\nAnswer: 15*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 50 + (-1 - 2) + (-14628 - -14657)\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**4 + 177*l**3 - 7323*l**2 - 415305*l + 1306800 = 0. What is l?\nAnswer: -55, 3, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -2856.7 and -13822783.63.\nAnswer: -13825640.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 28\/11, 2, 3\/144221?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 292*s + 3214. Determine x(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145915*m = -145701*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -132124*b**5 - 3*b**2 + 1098*b - 8?\nAnswer: -7927440*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -o**5\/3 - 41*o**4\/6 - 53*o**3\/6 + 79*o**2\/6 + 55*o\/6 - 19\/3 = 0.\nAnswer: -19, -2, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-23*s**2 + 0*s**2 - 45*s**2)*(48 + 4 - s - 11) in the form c + q*s**2 + r*s**3 + u*s and give r.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/8))**14*h**11*(h\/(h**7\/h))\/h assuming h is positive.\nAnswer: h**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(66)\/(sqrt(6) + -4*sqrt(54)).\nAnswer: -sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -53*d**5\/5 + d**3 + 6*d**2 - 27*d - 78. Find the second derivative of i(z) wrt z.\nAnswer: -636*z**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -9459?\nAnswer: -37836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**5\/6 - 7*h**4\/3 + 16*h**3\/3.\nAnswer: -h**3*(h - 2)*(h + 16)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4*d + 59 = 0, 2*i = -d + 2*d - 32. Let t = i + 20. Solve 4 = q + t*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19004669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -3. Let g be -10*((-6)\/4 + u). Let x(o) = o - 6. Let l be x(5). Sort g, 2, l.\nAnswer: g, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 115*a + 2316. Let v be r(26). Solve -2*l = v*f + 18, 11*f = 6*f + 3*l - 13 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yey when three letters picked without replacement from {e: 3, v: 1, a: 6, y: 5, f: 3}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 - -25a?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + 8*l + 7. Let z be a(-7). Let m(y) = -y**2 + z - 7*y - 5 - 3*y. What is the units digit of m(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 27175?\nAnswer: -27174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 19*l**2 + 293*l - 145. Calculate the remainder when 9764 is divided by p(-16).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 9, 11, -0.3, 1\/8, -1\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + b)*(4 - 6 + 1) + (-3*b + 2*b + 3*b)*(-2 + 3 - 12) + 2*b - 4*b - 10*b.\nAnswer: -35*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4236722 (base 8) to base 7\nAnswer: 12414165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 453863.\nAnswer: 97, 4679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12880 - 12866. What is the smallest common multiple of y and 659?\nAnswer: 9226","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-108)*45)\/35*140\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.05 (b) 2 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12 + 54 + 29)*(3 - 3 - 6*g**2) to a*g**2 + h*g + b and give a.\nAnswer: -426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 104720\/(-92820)*312\/(-99)?\nAnswer: 32\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -20*b**2 + 229*b - 9. Calculate the remainder when q(10) is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 786220?\nAnswer: 2, 5, 19, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -i**7\/210 + i**6\/40 - i**5\/20 + i**4\/24 + i**2. Suppose r(j) = 0. Calculate j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -357682, -357681, -357680, -357679, -357678, -357677?\n\"Answer: z - 357683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 1)*(3*j - 3*j - j) - 17 - 14*j + 15 - 11*j in the form h + z*j and give z.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.3, -0.2, 0.06, -1.75, 431?\nAnswer: -1.75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 9*t**2 + 8*t - 18. Suppose -2*l + 10 = -3*l. Let k be w(l). Suppose k*y - 14*y = -1116. What is the greatest common factor of 31 and y?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y - 94 - 6*y + 2*y - 5*y. Let b be l(-15). Let k(m) = -m**3 - 7*m**2 - 6*m - 6. Let f be k(-6). Is f greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 27 = 5*v + 6, 2*q - 2*v - 14 = 0. Suppose -i + 1 = -5. Suppose -l + i = 2. Calculate the highest common factor of l and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4*v - 5. Suppose -3*t + 19 = t - i, -3*i - 2 = -t. Let j(b) = -8*b + 11. Let p(m) = t*k(m) + 2*j(m). Differentiate p(q) wrt q.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -594346 by -43.\nAnswer: 13822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -11*v + 29. Give o(7).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/7? (a) 216 (b) -4\/7 (c) -1\/23324\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-114)\/57*2\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-270)\/720 - (-85078)\/16.\nAnswer: 13, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -770, 5, 0 in descending order.\nAnswer: 5, 3, 0, -3, -770","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4203 - 4202.3. Which is the smallest value? (a) -236\/3 (b) -1 (c) 2 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1144)\/3)\/(-4) + (-278445)\/43965.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0522727 minus -863?\nAnswer: 862.9477273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 65568*g**2*r**3 - 5318*g**2*r**2 - 3*g**2 wrt r.\nAnswer: 393408*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (16\/4 + -15)*-1. Calculate the greatest common factor of j and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 10:36 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 69*j**2 + 688*j + 80. Calculate m(-57).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r + 7 - 413 = 0. Suppose 154 = 3*t + 2*n, -3 + 23 = 4*n. Let z = t + r. What is the remainder when z is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 6*r. Let u be l(6). Let n(s) = s - 7 - s**2 - 5*s**3 + 4*s**3 + 6. Give n(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 511550 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -61?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -86*t - 133. Let y(g) = -29*g - 44. Let c(x) = 17*y(x) - 6*z(x). What is the first derivative of c(b) wrt b?\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*o + 2*o + 70. Solve o*b = 4*r - 23, -b - 9 = -3*r - 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29973, -119873, -269705, -479469, -749165, -1078793, -1468353?\nAnswer: -1917845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 30*(-1)\/(-6)*3. Let k be ((-1)\/q)\/((-4)\/5). Let x = 92 + -1382\/15. Which is the third biggest value? (a) k (b) 0.2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -3*v**2 - 2650740*v - 585535212300 = 0.\nAnswer: -441790","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of k**5\/10 + 9*k**4\/2 + 56*k**3 - 196*k**2 - 4*k. Solve h(s) = 0.\nAnswer: -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*n**2 - 80*n**3 + 9*n**2 + 82*n**3 + 13 + 2*n to the form a*n + z*n**2 + l + f*n**3 and give l.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -36 - 2 - (55 - (-133 + 176))\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 + -33. Let r = 78 - 1168\/15. What is the third smallest value in r, w, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -13*g. Let b(a) be the second derivative of a**4\/12 + 681*a. Determine b(x(y)).\nAnswer: 169*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 844 divide 551508379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 141 + -5641\/40. Is -1 less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.14 less than -6\/8617?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 3:38 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1576 times 5?\nAnswer: -7880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 130 + -128. Let c = 1.8 + -2. What is the third smallest value in c, -2\/13, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = a + 82, 2*z = -3*a + 6*a + 25. Suppose -5*o + 8 = -3*x + 2*x, -60 = 3*x + 3*o. Let d = z + x. Which is smaller: d or -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 8*a**2 + 6*a + 5. Suppose -12 = 2*r - 4*r. Let v be g(r). Let h be 12\/2*v\/(-2). Round h to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-638)\/990 + (-1)\/(-5)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15604249\/240 - -65017. Find the common denominator of g and -31\/64.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29750 and 510.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -221596*y - 1329751. What is l(-6)?\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -76 + 104. Is 4 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) -3 (c) 0.062 (d) -0.5 (e) -2\/81\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l - 35*l**2 - 7552*l**3 - 4*l + 7555*l**3 + l**4 - 2 in the form a*l**2 + v*l + g + t*l**3 + y*l**4 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 12:33 AM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*i + 2*i = 0. Let -4\/7*q**3 + 4\/7*q**2 + 8\/7*q + i = 0. What is q?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 7:55 PM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 5*r**2 - 8*r - 14. Let f be n(-4). Solve 3*x + 5*y = 22, -5*x = -f*y + 3*y - 22 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - w - 5*w)*(-1 - 2*w**2 + 1) - 4*w**3 + 18*w**3 + 31*w**3 + (-11*w - 31 + 31)*(2*w**2 + 0*w**2 + 0*w**2).\nAnswer: 29*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-26*t + 53*t + 42*t**2 - 30*t)*(-3*t**2 + t - t) as d + w*t**2 + x*t**3 + a*t**4 + p*t and give a.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9089917?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14.945 - 14.6. Let v = t - -0.055. Let i = -6 - -1. Sort i, 0.1, v in descending order.\nAnswer: v, 0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.035 + -0.965. Let o = -3 - -6. Suppose -3*g = g - l - 1, -o*l = -4*g - 5. Is g at most as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200*o**5 - 519960*o**4 + 331569602*o**3 + 8328780720*o**2 + 1655806976*o + 82624512 = 0. Calculate o.\nAnswer: -24, -1\/10, 1312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2837416.\nAnswer: 2, 354677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -50 - -120. Suppose -7 + 25 = 6*w. Suppose w*a - 2*a - n = 0. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.5 - 0.1. Let m = 2.118 + -0.018. Let p = -2 + m. Which is the nearest to p? (a) 0.2 (b) n (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, t: 1, y: 1, l: 1, q: 1}. What is prob of picking 1 y, 1 r, and 1 q?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -17\/1025 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -2*f + 5*f, -a + 17 = 4*f for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/17 in -3\/5, -0.3436, -0.2?\nAnswer: -0.3436","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 334316251?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 + 96*k - 339. Let m be x(92). Solve -w - 13 = 28*q - 30*q, -q + 5*w + m = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -7*k**2. Let a be 4 + 0\/(3 + -1). Let s(u) = 0*u**2 + a*u**2 + 6*u**2 - 6*u**2. Determine s(v(l)).\nAnswer: 196*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(-1)\/s)*s*s)**(-13\/5)*s*s**(-28)*(s*s*s**(12\/5))\/s assuming s is positive.\nAnswer: s**(-183\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-23 + 181 + 235)*(n - 2*n - 3*n) to the form z*n + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l. Suppose -12 = 3*g, -3*d = -13*g + 18*g - 22. Suppose 5*k = -2*y, -3*k = 10*y - 6*y - d. Let x(c) = -3*c - 1. Determine k*q(m) - 3*x(m).\nAnswer: m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 11*s**2 + 3. Let u be f(-11). Is u\/15 - 16627\/(-65) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*5483.\nAnswer: 54830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9 + -9)\/(0 - 3). Suppose -5*z + 2*z = a. Let l be (1 + 0 - 1) + z. Solve 5*h - 7 = 3*w, 2*w - w - 1 = l for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 9*h + 15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -69, -101, -159, -249, -377?\n\"Answer: -q**3 - 7*q**2 - 4*q - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/(-70))\/(-1 + (-6)\/(-10)). Put 0.26, w, 4 in ascending order.\nAnswer: 0.26, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -103946734 + 37373691. Let v = l - -66573042.19700359. Let z = -0.803 - v. Round z to seven dps.\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2902844 is divided by 3352?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*y**2 - 13*y**2 - y**2 + 87*y**2 + 124*y**2.\nAnswer: 170*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*x + 3. What is the nearest to x in -0.3, -5, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.8 (b) 2\/3 (c) -1\/74\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - p + 1. Let m(w) = w**3 + 2*w**2 - 3*w - 16. Let l(i) = m(i) - 2*o(i). Calculate l(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 745059900 a multiple of 269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14214749607 + -14214749781.00000077. Let h = 22 - 196. Let k = h - x. What is k rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 0*i - 4 = 0. What is the least common multiple of 67 and i?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, x: 3, k: 7}. What is prob of picking 1 t and 2 k?\nAnswer: 63\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of v**3\/3 + 67*v**2 + 4489*v + 203. Suppose z(g) = 0. What is g?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 (base 6) in base 8?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 15481 and -1.113.\nAnswer: 15479.887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from lclc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 24*f + 12. Suppose -5*y = 15, 0*i + 2*y - 6 = -f*i. Solve -i*q = 4*o - 6*q + 4, 5*o - 5*q = -5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/1797466?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 40293 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h - 2. Let z(c) = 0 + 3 + 0 - 2. Give -f(x) - 2*z(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-6\/7)\/w))**(29\/3)*(w*w**(-2))**(-3\/10) assuming w is positive.\nAnswer: w**(5863\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 5*h**3 + 3*h**2 + 3. Let k(b) = -64*b**3 - 40*b**2 - 40. Give 40*i(y) + 3*k(y).\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2740048823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xiiivicixiiivcix. Give prob of picking 1 x, 1 c, and 1 v.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -r**7\/42 + 3*r**3\/2 + r. Find the second derivative of i(x) wrt x.\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 446895 divided by 89379.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 106800313?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/7 - 56926*g**2\/7 - 405042720*g\/7 + 405099648\/7.\nAnswer: -2*(g - 1)*(g + 14232)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.1 - -3.6. What is t rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.5 (b) 329 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.78 + 31.22. Let r = t - 3. Let y = 28.9 - r. Which is the nearest to 1\/5? (a) 0.3 (b) y (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.021 - 0.157. Let i = 0.064 - a. Which is smaller: i or 9\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pph when three letters picked without replacement from {i: 1, p: 4, h: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 k, and 1 u when three letters picked without replacement from {t: 3, u: 2, k: 8, x: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2759370557 to the power of 1\/5, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**4 - 71*g**3 - 1009*g**2 - 5061*g - 7938 = 0. What is g?\nAnswer: -54, -7, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 979 divide 1762681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*f**2 - 5*f**2 + 13*f**2 - 12*f**2.\nAnswer: -57*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 8:29 AM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000432243842 rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 293\/6 - 295\/6. Which is the nearest to t? (a) 22 (b) -6\/7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/940 and 43\/20.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -496.774 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of h**4\/2 - h**2\/2 - 4*h. Differentiate s(d) with respect to d.\nAnswer: 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -0*g + g + 12061, 2416 = s - 4*g. Suppose -172*x = -176*x + s. List the prime factors of x.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2*h + 168 = 0, 2*h + 337 - 113 = 4*j. Calculate the remainder when j is divided by ((28 - 5) + (-1 - 7))*1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 790960.5 litres in millilitres?\nAnswer: 790960500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1394940956 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 44, 70, 96, 122?\n\"Answer: 26*g + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 0*m + 5*m - 77, v + 3*m = 19. Let c = 565\/3668 - -7\/1048. Let f = c - 1013\/728. Calculate the common denominator of f and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 442078, 5, -1.\nAnswer: -1, 5, 442078","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -5472*i + 3055. Is o(-31) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-100)*(-200)\/120*-31.\nAnswer: 31\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 4\/31, -1\/2028?\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = u + 2, -5*x + 4 = 26*u - 29*u. Factor -4\/3*o + 4\/3*o**3 + 2\/3 + 0*o**u - 2\/3*o**4.\nAnswer: -2*(o - 1)**3*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.4, -0.002129, -2, 0, 36\/11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4165758 is divided by 31321?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -326*p**3 + 7*p + 6. What is the hundreds digit of c(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 908768 and 38752.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15021, 59819, 134401, 238767, 372917?\nAnswer: 536851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/9 - -1*(-2289)\/(-27) is divided by 49?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * 0.6803.\nAnswer: 4.0818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u. Let b = -32 - -51. Suppose b = 5*m + 3*n - n, 1 = 3*m - 4*n. Let y(a) = 3*a**2 - 5*a**2 + m*a**2. Determine y(d(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, t: 1}. Give prob of sequence wt.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 764942*v - 6056 = -764879*v, -3*v = -4*i + 296 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/1174 or 1?\nAnswer: 1\/1174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -2*y - 3*l + 12534, -5*y - 3*l = -31335. Suppose -y = -4*s + 3*w, 5*s = -7*w + 2*w + 7790. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 16 - 64 - 49*y - 8*y. What is the hundreds digit of n(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + 21*m - 45. Determine b(-23).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1640408g in nanograms?\nAnswer: 164040800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 15 = -5*f + z, -5*f = z + 25. Let a(p) = -p**2 + p + 1. Let u be a(-1). Sort f, 2, u in decreasing order.\nAnswer: 2, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 14*b**2 + 10*b - 26. Let x be z(-15). Let k = x - -9. What is the remainder when k is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/24, -3, 4, -27\/1145?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 4, -0.3, 10, -0.01, 4525.\nAnswer: -0.3, -0.01, 4, 10, 11, 4525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5658 and 11454?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -18. Suppose 4*y - 2*t = 8, 16 = l*y - 5*t + 1. Suppose 405 = 1528462*h - 1528417*h. What is the remainder when h is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -10 - (-3 - (-2 - 0)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of 0*c + 10\/3*c**3 - 4*c**2 + 5 - 1\/2*c**4. Factor j(l).\nAnswer: -2*l*(l - 4)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -3*k**2\/2 - 9*k + 9. Suppose -4*r = 3*i + 2*i + 7, 5*r + 60 = 4*i. Is 3 a factor of l(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, a: 7}. Give prob of sequence aa.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1, 6, 17, 32, 51, 74?\n\"Answer: 2*i**2 + i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uggguuggghgguh. Give prob of picking 3 u and 1 g.\nAnswer: 32\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3 + sqrt(11) + sqrt(11) + sqrt(99).\nAnswer: 2 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**2 + p**2 - 6*p + p**2 - p**2. Let x be v(-5). Solve x*r + 0*n = 5*n - 35, 3*r + 17 = n for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 0.68003\nAnswer: 0.068003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 824, 1971, 3180, 4481, 5904, 7479?\nAnswer: 9236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 48 = -5*t for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 996 - 996.1. Put -3\/5, 28, y in descending order.\nAnswer: 28, y, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -84*v - 5016. What is f(-59)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + (-48 - -2) - ((1 - 0) + (8 - 5))?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0.02 (b) -0.5 (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-357840)\/54 - 4\/(-6). Let g = 14716 + w. Round g to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -5*i - 188. Let l be j(-38). Put -229, -2\/9, 0.2, l in increasing order.\nAnswer: -229, -2\/9, 0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xzoxrrpyyry. Give prob of picking 1 r and 1 x.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1025*o + 4968 = -1002*o. Calculate the greatest common factor of 1368 and o.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 377936 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - n**2 + n + 2*n**2 - 20 + 20. Let b(t) = t**3 + t. Calculate -b(d) - z(d).\nAnswer: -2*d**3 - d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*h**2 - 9*h + 19*h - 10*h.\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11094 * 3008.\nAnswer: -33370752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -w**5\/20 + w**4\/3 + 5*w**3\/6 - w**2 - 8*w. Suppose -2*i - 1 = 5. Let g be 96\/20 + (-6 - i)\/(-15). Calculate s(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/782 and -145\/30498?\nAnswer: 30498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -10*t**4 + 300*t**3 - 385*t**2 - 630*t - 130. Let i(d) = d**4 + d**2 + 2*d - 1. Let w(f) = -30*i(f) - k(f). Suppose w(p) = 0. What is p?\nAnswer: -16, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 11066?\nAnswer: 11065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1563 and 208400?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -18 - 180. Calculate the highest common factor of 231 and r.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -4*z**3 - 10*z**2 + 7*z - 7. Let t(n) = n**3 + 5*n**2 - 3*n + 3. Let l(a) = 3*s(a) + 7*t(a). Solve l(w) = 0 for w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -149 + 66*p + 2*p**2 + 157 - 55*p to n + y*p**2 + t*p and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33382233?\nAnswer: 3, 43, 28753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.5 - -2. Let q be 3*(-4)\/(-54) + 2\/(-9). Let h be 2 - (-918)\/(-390) - (-9)\/45. Which is the fourth smallest value? (a) h (b) x (c) -3 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -190*d**3 - 864*d**2 + 0*d - 873*d**2 + 854 - 6*d + 1737*d**2 wrt d.\nAnswer: -570*d**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 165.4 + -110.7. Let n = -39.7 + z. Is -3\/2 less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37915625 and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 92.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 436450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(288) + sqrt(288) + 1 + -1)**2 - sqrt(288)) + -2)*-1 + -3.\nAnswer: -60*sqrt(2) + 5759","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*l**2 + 2*l**3 + 78*l**2 - 15*l**2 + l + l**3 - l + (-3*l**2 + 3*l**2 + l**3)*(-1 - 4 + 3) to d*l**2 + g + i*l + f*l**3 and give d.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1728\/(-198))\/(-16))\/(2\/22).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.095556ml in litres?\nAnswer: 0.008095556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from xaxxeaaaaxxkxabbx?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*m - 4228*x - 205 = -4229*x, 0 = 3*m + 3*x + 36 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-90)\/8 - 0)\/(579\/(-5790)*(-30)\/8).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 6) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.35 not equal to 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*o = 606. Are o and -203 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00108143 to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2916.98781 - 2917. What is o rounded to three decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(120) - -4*2*sqrt(120))\/(sqrt(4) - 3*sqrt(16)))\/(-5*(sqrt(294) + (-1*sqrt(294) + sqrt(294) + sqrt(294))*3)))**2.\nAnswer: 81\/3920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 0*q - 235 = 5*q - 41*n, -3*q + 2*n - 40 = 4*q - 4*q for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1546729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009979 to 4 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-50)\/14 - 292\/511.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*s*v**3 - 58176*s*v**2 - 3*s*v + 25*s + 9034366*v**4 - v**2 + 2*v wrt v?\nAnswer: 18*s + 216824784*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 k when three letters picked without replacement from {e: 2, t: 5, k: 4}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 - (3 - 2) - ((1122 - 1128) + 2 + -7).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wv when two letters picked without replacement from vvywvvwx?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*x, 7*x - 2*x + 69 = 4*h. 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 -3 plus 11227344631541.7?\nAnswer: 11227344631538.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k - 29. Let f(h) = -4*h + 58. Let d(u) = 2*a(u) + f(u). Let n(b) = -151*b**2. Determine n(d(p)).\nAnswer: -604*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -107 + 19. Let x be 2\/(-3) - v\/(-6). Suppose -2*p - 426 = -2*w, 0 = w + x*w + 4*p - 828. What is the greatest common factor of 21 and w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 9:42 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-1)\/1 + (-74)\/(-26)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6032 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + ((-1)\/(-2) - 20\/(-40))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4491, 4814, 5119, 5406, 5675, 5926?\nAnswer: 6159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4135 (b) -13 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -4*c**2 - 5*c - 3. Let m be 19\/7 + (-2)\/(-7). Let t(y) = -491*y + 2456. Let x be t(5). Let i(p) = p**2 + p + 1. Determine m*i(b) + x*h(b).\nAnswer: -b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = -4*s - 87. Suppose 0 = s*v - 4551 - 11130. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 57*z**3 + 2*z**2 - z. List the prime factors of c(1).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54000 (base 8) to base 3.\nAnswer: -1010220101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26610?\nAnswer: 2, 3, 5, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 116*n**2 - 15*n - 22. What are the prime factors of l(-6)?\nAnswer: 2, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + (-5 - 0) - -2. Let c(d) = -d**2 + 6. Calculate the least common multiple of c(m) and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 - 17 - 10 + 11*n)*(-8*n + 8*n - 4*n**2).\nAnswer: -44*n**3 + 8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3403?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -34*c + 9. Let u(w) = 1530*w - 408. What is -3*u(y) - 136*z(y)?\nAnswer: 34*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -0*c. Let g be 4 - ((-2)\/8 + 10 + -6). Suppose k - 1 - 4 = 0. What is the third biggest value in c, k, g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -3804, -1, -1\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -17*x - 22. Let j(g) = -6*g - 6. Let k(t) = 4*f(t) - 17*j(t). Let b(p) = -7*p - 3. Determine 28*b(v) + 6*k(v).\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mfofoofizmf. What is prob of sequence io?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 468491 is divided by 974?\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + 582.5003.\nAnswer: 582.4003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 - -79. What are the prime factors of l?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -4*c - 138. Determine y(-34).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*o**3\/2 - 9703*o**2\/2 - 1150981*o\/2 - 38175493\/2.\nAnswer: -(o + 71)**2*(15*o + 7573)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 26 = 4*p, 3*n + p + 0*p = 10. Let s(o) = 3*o**n - 15*o - o**3 - 19*o + 34*o. Let x be (-17)\/(-6) - (-4)\/24. Calculate s(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*-2 - 18\/(-3). Suppose 0 = -4*k + 2*k + u. Suppose 0 = -k*g + 4*g + 6. Round g to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-3\/10)*s)\/(s**11*s))**(-2\/41)\/(s**(-4)*s\/(s**(1\/4)\/s)*(s*s**(-1)\/s)\/(s*s**(1\/6))) assuming s is positive.\nAnswer: s**(12101\/2460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -51 - 14?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l + 1389*l**2 + 0*l - 370*l**2 - 2*l.\nAnswer: 1019*l**2 - 7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v - 10. Let j be l(-14). Solve j*h - f + 10 = f, 3*f = 3*h + 6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 s when three letters picked without replacement from sssssssvssssvvsvsvss.\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-494)\/52)\/19*2\/(-15).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + (-61666)\/20 + 3. Let o = -3072 - u. What is the common denominator of o and 6\/4*(-159)\/36?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 6, a: 2}. What is prob of picking 2 a and 2 w?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2981964781?\nAnswer: 17, 175409693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 1.5. Let w(r) be the third derivative of r**5\/60 + r**4\/24 - 4*r**2. Let i be w(0). Which is the closest to i? (a) -0.3 (b) o (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence da when two letters picked without replacement from yxgda?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -4, -310, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 23 + 7 = -5*p, -p = 6. Put u, 1\/3, -5, 0.5, 111 in ascending order.\nAnswer: -5, u, 1\/3, 0.5, 111","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12146556.\nAnswer: 2, 3, 1012213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven halves of a tonne?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 9*f - 48. Solve 3\/4*j**2 + 3\/4*j**f - 3\/4*j**3 + 0*j + 0 - 3\/4*j**4 = 0 for j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -2*p - 5*y + 4, -p + 3*y = 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3970 - 4040 = -10*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19211779*l**2 + 4*l + 3327141.\nAnswer: 38423558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**2 + 342 - o**2 - 59 - 2 + 3 - 284.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 116 + -117. Does 10 divide 162*(m + 16\/12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-7))**(16\/5)*q**(1\/3)\/(q*q\/(q\/(q**(-24)*q))*q) assuming q is positive.\nAnswer: q**(-16\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 146230 and 175476.\nAnswer: 877380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 2*i + 107, 5*b + i + i = -157. Let d be (-1 + 19)*5\/(-10). Let t = d - b. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 294*u**2. Let v(p) = 95*p + 150. Determine v(b(r)).\nAnswer: 27930*r**2 + 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 69*i**3*u**3 + i**3*u**2 + 12*i*u**3 - 16*u**3 wrt i.\nAnswer: 414*i*u**3 + 6*i*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14492208719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18018 and 9702.\nAnswer: 126126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/483632 and -83\/60454?\nAnswer: 483632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 17*k**2 + 15*k + 16. Suppose 0 = -5*i + 338 - 258. Let l be j(i). Which is smaller: l or 1\/70?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5976427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190395 is divided by 81?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5*r - 25 = 0, -3*b + 0*r = 4*r + 72. Let z be ((-4)\/10)\/((-1)\/b). Calculate the common denominator of z\/44 + 2038\/(-44) and -19\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28877376 and 6336.\nAnswer: 86632128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36*j**2 + 835*j wrt j?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44001844?\nAnswer: 2, 11000461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**3 - 3*c**2 + 1. Let g = 6 + -8. Let k be x(g). Suppose -i + 0*i + 10 = -d, 3*d - 34 = -k*i. Is i a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 832 + -831. Sort 5, 12, a, -16 in decreasing order.\nAnswer: 12, 5, a, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.6572 and 108622467.\nAnswer: 108622467.6572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-4)*(-76)\/228\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7\/72 + 187\/72. Let l(i) be the first derivative of q*i**2 - 5\/3*i**3 - 2 + 0*i. What is the second derivative of l(h) wrt h?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 + -325\/9. Find the common denominator of v and -47\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 19*h + 1. Let t be z(-1). Let m = t + 22. Differentiate -5 - v**3 - 4 - 3*v**3 + m wrt v.\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 3 + 32*d**3 - 3 - 18*d**3.\nAnswer: 14*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus -238058979?\nAnswer: 238058979.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1\/1 - (-87)\/(-174) - 116309\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8290 - -13391. Let l = g - 3551. What are the prime factors of l?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 5*h**2 - 4*h - 4. Let w(g) = -2*g - 2. Let v be w(-3). Let u(x) = -2*x**3 - 11*x**2 + 9*x + 9. Let y(i) = v*u(i) + 9*a(i). Factor y(r).\nAnswer: r**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 12, -4, 0.4?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 12) in base 13?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 5*i**2 - 7*i - 9. Let a(k) = k**3 - k - 1. Let p be a(2). Let h(w) = 0 - 4*w + 3 - p*w. Let f be h(1). Give m(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -182524379.044 and 72.\nAnswer: -182524307.044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5929308 and 7728.\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -g**4\/3 + 24560*g**3\/3 + 540827*g**2\/3 - 188462*g = 0.\nAnswer: -23, 0, 1, 24582","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 80664.03 tonnes?\nAnswer: 80664030000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 185307.7kg in nanograms?\nAnswer: 185307700000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v*v\/(v\/v**(-4)))\/v))**(10\/11)\/((v\/(v\/(v*v\/(v\/v**(-6\/11)))))\/(v*v\/v**(-14))) assuming v is positive.\nAnswer: v**(221\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 5, -56, -1 in decreasing order.\nAnswer: 5, 2, -1, -4, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-8)\/t*t*t*t\/(t*(t**4*t*t)\/t*t))**42 assuming t is positive.\nAnswer: t**(-546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 326393 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 6:02 PM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v**2 + 7*v - 8. Let u = 7 + -5. Suppose r + 15 = u*g, r + 3*g - 6*g = -19. What are the prime factors of c(r)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) 0.1 (c) -1.818\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 13*y + 10. Let p be s(-14). Let h = -166 - p. Calculate the highest common factor of h and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (108\/104)\/(228\/(-988))?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*o + 32*o - 1204 = 0. Is 5 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/2)\/n)**(-4\/3)*(((n*n*n*((n**(1\/2)*n)\/n)\/n*n)\/n)\/n)**45*((n*n**(1\/4)*n)\/n)**(-22)\/(n**(-8)*n*n\/(n**9*n)) assuming n is positive.\nAnswer: n**58","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 360164.8220548 + 0.119\nAnswer: 360164.9410548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 39\/7*m**2 - 36\/7 + 24\/7*m + 9\/7*m**3 = 0?\nAnswer: -3, -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -33*w**2. Let j(m) = 2*m**2 - 5*m**2 + 2*m**2 + 3*m**2. Determine j(x(h)).\nAnswer: 2178*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 69.12624 and 484.\nAnswer: 553.12624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + 0. Suppose 0 = -3*y + 14 + 1, 5*y = u*h + 29. Let f = 1.1 - 6.1. Sort f, h, -0.3 in decreasing order.\nAnswer: -0.3, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 333311669?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 477092 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 + 0.2. Let o = 0.1 + -0.3. Let q = o + y. Which is the third biggest value? (a) q (b) -3\/2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 12) in base 13?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - r + 35 = 0, 0*r + 29 = o - 5*r. Let k(u) = -5*u + 171. Let a be k(o). Put a, -1, 3 in descending order.\nAnswer: 3, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4341 divided by 9\nAnswer: -1447\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.043 times 95?\nAnswer: 4.085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 100*r + 200. Let f be z(-2). Let t(v) be the first derivative of 0*v**3 + 0*v + 0*v**4 + f*v**2 + 10 - 2\/25*v**5. Let t(i) = 0. What is i?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -637001*k**2*z**2 + 7*k**2 - 603635*k*z**2 + 8*k wrt k?\nAnswer: -1274002*z**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/5 of a hour?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4)*t**3)\/(t**(1\/3)*t*t*t)**(-3\/2)*((t*t**(-3\/2))\/t**(-2\/9))\/(t*(t\/((t*t*t**(-1\/2)*t)\/t)*t)\/t*t)**(-2\/63) assuming t is positive.\nAnswer: t**(475\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kkgkgckkgggkkcgggkg?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3610 divided by 6\nAnswer: -1805\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2401 + 2407. Sort 28, 4, r in ascending order.\nAnswer: 4, r, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + 60 - 4\/4*-4. Let p = r + -61. Suppose p*g = -f + 66 + 205, -3 = -f. List the prime factors of g.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39753929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3*k + 103. Let j be p(-34). Solve -j = -a, 2*q - 7 = 2*a - a for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.1*-55.\nAnswer: -555.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 134328 and 1189?\nAnswer: 5507448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 60?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w - 1. Let g be c(0). Let f be 6\/(252\/(-921)) + (35 - 15). Is g less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 + -3)*2\/6. Suppose -2*a - 2*b + 10 = j, -2*b + 6*b - 12 = -2*a. Let n(z) = -z + 7. Let r be n(a). Solve -h + 13 = -2*m, -r*h - m + 4 = -0*m for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8005 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: What is the closest to 0.1 in -0.23, -3, 3, -6678?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 4*a**2 + 4*a**2 - a**3 + 1 - 4*a**2 - 3*a. Let j be w(3). Let c(l) = -4*l**3 - 1. Let b be c(j). Sort b, 1, 4.\nAnswer: b, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 8*q**2 - 14*q - 7. Let w be d(-6). Suppose -3*y = -5*b - 2075, -5*b - 2690 - 755 = -w*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 5*n = 17 - 3, 2*n = 4. Suppose i*w + 224 = 8*w. Calculate the greatest common factor of 14 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 4 - 4. Solve n = -5*m + 4*u - 5, -14*u = -m - 13*u for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*s + 14*s + 14*s - 24510 = 0. Is 25 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2 = -3*m - 0, 5*m = 2*g + 2. Let u(t) be the second derivative of 1\/12*t**4 + 0*t**2 - 2*t + m + 0*t**3. Let o(i) = -i. Calculate u(o(x)).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, 7, 90 in decreasing order.\nAnswer: 90, 36, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) 0.1 (c) 1\/3 (d) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5883 = 50*a + 6783 for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 7*r + 102 = 3*h, -h + 33 = r. Suppose b - 4*b = -h. Solve -b = -4*w - w + 5*z, -4*w + 8 = -5*z for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z**4 + 4*z**4 + 5*z**5 + (-7*z**5 + 27*z**3 - 27*z**3)*(1 - 2 + 0) + (5*z - 2*z - 5*z)*(-5*z**4 + 2*z**4 + 5*z**4) + (z - z + z**4)*(-6 + 6 - 2*z).\nAnswer: 6*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/2142 and 1\/3060.\nAnswer: 21420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1361*o**3 - 10*o**3 + 6*o + 253*o**3.\nAnswer: -1118*o**3 + 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*g**5 - 586*g**4 - 2*g**3 + 1568*g**2 + 1203*g + 234 = 0. Calculate g.\nAnswer: -1, -3\/5, -1\/3, 2, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 422806 - -15?\nAnswer: 42281b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 - -16. Let a be ((-4)\/(-18))\/(i\/(-36)). Find t such that 0 + 2\/7*t**4 - 2\/7*t**3 + 0*t**a + 0*t = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -19, 9, 55, 119, 201, 301?\n\"Answer: 9*r**2 + r - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/13)*t)\/((t\/(t*t**(-1\/9))*t)\/t)*(t**7*t)\/t**3*(t**(2\/7))**29\/(((t\/(t\/t**(2\/3)))\/t)\/t)**(-42) assuming t is positive.\nAnswer: t**(-34381\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 4*m + 0 + 0*m - 3*m.\nAnswer: m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -1 - ((-1 - 3) + 7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -167.8 + 168. Suppose -5*h = -6*h - 12. Let m be (-18)\/h*4\/(-18). What is the nearest to c in m, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 6*g + 3. Let n be l(6). Suppose 0 = 3*b + 4*s - n*s - 49, -2*s = b - 8. What is the remainder when 71 is divided by b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 6155192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 150\/120 - 2667\/(-4). Suppose 2*v - 7*v = -20, -4*i - v + d = 0. Calculate the smallest common multiple of i and 16.\nAnswer: 1328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = o - 88, -50 = -2*s - 5*o - 247. Let u = -167 - -113. Let d = u - s. Does 9 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 2*w**4 + 10*w**3 + 16*w**2 + 8*w = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -15) + (-2316)\/(-60) + (-4)\/(-10).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 4 - 2 - 89*m + 90*m - 5. Let t be 1*(-3 + 5 - (-8)\/(-2)). Determine s(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 6:12 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -64.429 + -0.371. Let d = r + 65. What is the closest to -2\/7 in d, 2, -3\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 71.8412605 to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3304 = 40*h - 276*h for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i + 113738 - 113738. Let m(u) = 2*u + 2. Give a(m(q)).\nAnswer: -2*q - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30101 + 30100.95. Put 13.4, 4, 0.3, o in increasing order.\nAnswer: o, 0.3, 4, 13.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 4*u**2 - 4*u + 13. What is x(-6)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 4 = 4*u. Let w(z) = -4*z + 9*z - 20*z. Let j(l) = -2*l. Let i(v) = u*w(v) - 25*j(v). Let s(g) = 2*g. What is i(s(x))?\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 16 + 17 - 7*u**3 - 41.\nAnswer: -7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, -2, 0.703, -0.1, -456\/7?\nAnswer: 0.703","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of a**6\/330 + 5*a**5\/11 - 51*a**4\/22 + 14*a**3\/3 - 103*a**2\/22 - 1208*a. Factor n(i).\nAnswer: (i - 1)**3*(i + 103)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -5*j - 2*p - 29, -2*j - p - 11 = 0. Let x = 10 + j. Solve -2*t + x*r = 8, -5*t - 3*r + 11 = -4*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = d - 0*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1686*w + 1686*w + 16*w**3.\nAnswer: 16*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 + 6*c + 2. Let g be v(0). Solve g*b = -b - 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3181, -4655, -6133, -7615, -9101, -10591, -12085?\nAnswer: -13583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = n + 3*u, 9*u - 6*u = -3*n. Solve 18 = n*b + 3*v, 0*b - b + 11 = 2*v for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k\/(k**(5\/2)\/k))*k**(1\/11)*(k\/((k*k\/(k*k\/(k**(-12)*k*k)))\/k))\/(k*k*k**13*k*k) assuming k is positive.\nAnswer: k**(-75\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3 = -1. Let t(y) = 2*y**3 - 4*y**2 + 2*y + 1. What is the remainder when 8\/20 - (4 - 352\/20) is divided by t(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**3 - 321*w**2 - 9*w - 26351. What is o(-161)?\nAnswer: 1019","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52, -20, 10, 38?\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -108.879 + -0.121. Let i = -108.7 - s. Which is the nearest to 1? (a) i (b) 5 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 2.5. Let i = -83.01 - 0.99. Let x = -83 - i. What is the biggest value in -4, x, a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u + 6. Let d be m(6). Let t be 1*(-1 - d) - -3. Differentiate 0*w + 5 - 10*w - 3*w + t*w with respect to w.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 q when two letters picked without replacement from {s: 2, q: 7, e: 7}?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - u - 1. Let k be (4 + 2)*(-6)\/9. Let d be -2 - (0 + 8 + k + -5). Let y(m) = -14*m**3 - 2*m**2 + 10*m + 10. Give d*y(n) - 10*s(n).\nAnswer: 4*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-1)*1*14\/(-28).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of v**7\/2520 - v**6\/72 + v**5\/30 - v**4\/4 - 7*v**2\/2 + 3*v. Let b(w) be the third derivative of r(w). Calculate b(4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80 divided by 4.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x + 2 + 3 + 0 - 6. Let t be f(2). Let h = t + 5. Solve -6*m - 32 = -2*m - 4*b, m = -b - h for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1403)\/138 - (-7)\/42?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 1\/11 (c) -3 (d) -0.101 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**4 + 3*i**4 + i**4 + (-3*i**2 + 2*i**2 - i**2)*(-4*i**2 + 9*i**2 + 5*i**2).\nAnswer: -17*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of w**3\/3 - 2*w**2 - 30*w - 1892. What is b(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4299914 and -1.8?\nAnswer: -7739845.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 119172 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.3369 + -2.37. Round f to 3 dps.\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 4813 = 82*s, -x - 231 - 10 = -4*s for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 5*x = 20, -b - 2*x = -5*x + 2. Let o = 83298 + -83278. What is the remainder when o is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-26) + (-6549165)\/(-4641). What is the highest common factor of 996 and o?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 19*g. Let p(x) = -1181*x**2. What is p(y(u))?\nAnswer: -426341*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 0 - (232 + -234)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 0 (c) 30 (d) -68631\/2 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/7 or -0.09696?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 3*p + 21, 2*p - 8 = 4*m + 2 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 - -80. Suppose -3*p = -4*w + 59, w - p = -4*w + b. What is the highest common divisor of w and 209?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 v, 1 c, and 1 m when four letters picked without replacement from xxxocxccxvavxxcxvxmv.\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -1\/17, 3\/4, 2\/11, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -4*f + 118, 82 + 13 = 3*f - 4*s. What is the greatest common divisor of f and 551?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000020415 rounded to 6 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2000212221021 (base 3) to base 11.\nAnswer: -67873a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -2*a + 1\/6*a**4 + 0*a**2 - 3\/2*a**3 - 1\/15*a**6 + 38 + 39\/20*a**5. Find the third derivative of j(l) wrt l.\nAnswer: -48*l + 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3081049 is divided by 2961.\nAnswer: 1609","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 2*s + 22 = -4*m, -16*s + 15*s + 319 = -46*m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -202464, -202463, -202460, -202455, -202448, -202439?\nAnswer: -202428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*j + j + j + 3*j to c*j + q and give c.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 63, -1, -92\/7, 0.3, -1\/2 in ascending order.\nAnswer: -92\/7, -1, -1\/2, 0.2, 0.3, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 24 + 5?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 2*h**2 + h)*(-4 + 4 + 2*h) + (-2*h - 3 + 3)*(-h**2 - 2*h + 2*h).\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1839*i**3 - 32 - 3252*i + 32 + 1838*i**3 to the form r*i**3 + a + y*i**2 + s*i and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*z**2 - 7*z - 26*z**2 - 9 + 10*z**2 as h*z + v*z**2 + o and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 12:03 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 107 = o - 4*q, 0 = -o - 2*q - 114. List the prime factors of 4\/(-26) + o\/(-52).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -152, -304, -456, -608?\nAnswer: -760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sr when two letters picked without replacement from {c: 4, r: 7, s: 2, q: 4, x: 1}?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 72 + -72. What is the nearest to 1\/4 in 3\/8, z, 2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 166 + -352?\nAnswer: -1ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 12. Let y = 0.017 - 2.967. Let a = y + d. Round a to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -48020*x**4 + 104*x**3 + 2*x**2 + 1466*x + 84135 wrt x?\nAnswer: -576240*x**2 + 624*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 32. Let i = -22 - p. Let o be 9*i - (-1 + 5). Solve 3 = -o*c - 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 1 - -16 - 16?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -2. What is the least common multiple of (-8)\/6*84\/z and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1 - -4*(20\/(-5) + 53) is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-249)\/(-13) - (-14)\/(-91). What is the greatest common factor of b and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1295947, -2591882, -3887815, -5183746?\n\"Answer: v**2 - 1295938*v - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 241136000 to the power of 1\/2, to the nearest integer?\nAnswer: 15529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 127641 (base 9) in base 10?\nAnswer: 77797","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -4*j + 2, j + 3 = o - 2*o. Which is greater: -2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33464 (base 10) in base 16?\nAnswer: -82b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 2*o + 15*v, 2*o - 6*o - 14 = -2*v. Let m(d) = d - 9. Let x(s) = 4*s - 46. Calculate o*x(w) + 11*m(w).\nAnswer: 3*w - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*a - 2*w, 4*a - 5*w - 29 = -0*w. Let l be (a*4\/6)\/((-3)\/(-36)). What is the highest common factor of 56 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91639.42 decades to millennia.\nAnswer: 916.3942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1263836 (base 10) in base 12?\nAnswer: -50b478","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 3*b = 5*j - 6, 0 = 3*b + 6. Suppose z = 3*s - 27, 0 = -j*z + z. What is the remainder when 34 is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15751\/9 - 1750. Is q not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 6*g**3 - g**2 + 1. Let l be v(1). What is the second derivative of -b**4 - 2*b**4 - 2*b + l*b**4 + b wrt b?\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 3 (c) 2 (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/10 in -3583\/10, -1\/4, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 6:31 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41613033703.069843 - 41614994162.77. Let o = -1960613.7 - f. Let k = o - -154. What is k rounded to five dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/8, 7, -2\/13, 1.47, 0.5, -22\/9, 2.1?\nAnswer: 1.47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 0 = -n. Let v be (-4*1)\/(-2 - n). Suppose 0 = l - 5*p - 4 - 8, -v*l = 3*p - 2. Solve -l*u + 8 = 2*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/(-10)*(1\/(-12))\/((-32)\/48)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 305 + -10?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*q**2*w - 801*q**2 - 393*q - 3497315*w wrt w?\nAnswer: -2*q**2 - 3497315","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 3*x**2 + 10*x - 22. Let c be l(4). Solve -3*m + 3 = 4*p + 18, 2*p = -c*m - 8 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hcc when three letters picked without replacement from {d: 1, h: 1, p: 4, c: 3, r: 2}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 - (1 - 15) - 4)*(-13)\/(-507). Sort 0.2, n, 1\/1157.\nAnswer: 1\/1157, n, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/((-51)\/(-9) + -7). Calculate the highest common factor of x and 102.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -74 (c) 236 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 3:06 AM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 300940*f**3*j - 10*f**3 - 152*f**2*j + 3*f**2 + 2*f - 743*j - 2 wrt f.\nAnswer: 1805640*j - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -644, -2, 4, -3, 1 in decreasing order.\nAnswer: 4, 1, -2, -3, -4, -644","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 56 (b) 154 (c) 2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 122313332?\nAnswer: 122313333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 90290826395 - 90290826390.3160073699. Let k = u + -0.0839923001. Let j = -4.6 + k. Round j to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12372633?\nAnswer: 3, 7, 13, 15107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - o**4 + 2*o**2 - 14)*(-13 - 21 + 7).\nAnswer: 27*o**4 - 54*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5285 - -5597. Solve -h + i = 38*h for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, p: 5, a: 3, y: 2, x: 1, v: 1}. Give prob of picking 1 y, 1 x, 1 m, and 1 a.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/822 and -17\/3836?\nAnswer: 11508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 382*t - 9. Let r(d) = -d**2. Give y(r(n)).\nAnswer: -n**4 + 382*n**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 120 = -6*h + 2*h, 16 = 4*w. Suppose h = 4*v + 3*d, 2*d + d - 8 = v. Suppose 3*u = v*a + 101, 105 = 3*u - 5*a + 2*a. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (26 + 0)*(-771)\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12521 - -13641. Suppose 0 = -3*i - 4*h + 97, -4*h = i - 4*i + 113. Calculate the greatest common divisor of i and y.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 0*w + w)*(4*w - 6*w + 0*w) + 89*w**2 - 5133 + 5133.\nAnswer: 83*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 44649\/7 = 6377?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnncckqncfnnkq. Give prob of picking 1 f and 1 k.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 70.8 to zero dps.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 3571 - 1796 + 7*m**3 + 2*m**2 + 13*m - 2*m**2 - 1795 as h + f*m**3 + a*m**2 + b*m and give b.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 303176?\nAnswer: 2, 37897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 465551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-4) - 1*3. Sort p, 5, 1.\nAnswer: p, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 171763 + -92719. Does 46 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000002719 rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 258a15 (base 11) to base 10.\nAnswer: 407181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.5*0.218.\nAnswer: 0.327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007406359 to 4 decimal places.\nAnswer: 0.0074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*n**2 + 6 - 3 + 53*n**2.\nAnswer: 3*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10318 by 10318.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from vuuvvgvvvvuvuvuvy.\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -7*z**2 + 2*z**2 - z - 32*z**3 + 6*z + 28*z**3. Let b(s) = 5*s**3 + 6*s**2 - 6*s. Let x be (-24)\/60 + (-23)\/5. Determine x*b(l) - 6*o(l).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.7 - -1.3. Let o = -74 - -71. Is d bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of -281*p**7\/210 + 7*p**4\/6 - p**3\/3 - 3*p**2 - 28. What is the second derivative of o(u) wrt u?\nAnswer: -3372*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -0*y - 12. Let a be 6 + y - (-4)\/2. Suppose -w + 5*x = -18, 3*w + a*x - x = 0. Solve -6 = -3*m - 2*r + 4, -m - w*r + 1 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.45 in 684, -61, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 2*m - 2139, 0*m - 2160 = 3*k + 5*m. Let q be 4\/22 + 185\/k. Suppose 2*p = 5*p + 3. Which is smaller: q or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(1\/(-14)))\/(-8 - -7). Is (-12)\/28 - (23750\/z + 3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30617 and 6001.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9, 19, 35, 57?\n\"Answer: 3*r**2 + r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -41111215 (base 6) to base 2\nAnswer: -100011111000011011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, -270, 2\/49, 2\/7, -5\/118?\nAnswer: -5\/118","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b**2 - b + 1. Let n be d(1). Let h = -349 - -351. Solve 0 = h*t - 0*i + 2*i + 12, 4*t + n*i = -20 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3*h = 3*d - 82, 0 = -h + 2. Suppose -4*w = o - 167, -2*o + 208 = 5*w - 0*o. What is the remainder when w is divided by d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 + 44. Suppose -z*n + 1860 = -51. Does 21 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 1, -4*z + 103 = -9*z - 3*s. Let m = 22 + z. Is m\/(-13) + 4\/26 - -77 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*p - 11*p - 13 - 21 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23576 and 213608.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 6:42 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -63*g + 1753. Let q be v(27). Calculate the highest common divisor of q and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 332262 and 1026.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1605128.0115 minus -4?\nAnswer: 1605132.0115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 4:36 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-7))\/((-6)\/(-15)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, d: 3, k: 1, p: 4, n: 1}. Give prob of sequence dwpd.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10258279 (base 10) to base 12.\nAnswer: -3528607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1420 - 1418. What is the closest to 5\/7 in -1, v, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -34518508\nAnswer: 1\/8629627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1149700 a multiple of 443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11012012 (base 3) to base 7.\nAnswer: -11624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2410)\/241*(-2)\/(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - j**2 + j + 1. Suppose r + 28 = 26. What is t(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 4:50 AM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -7 - 6\/6 - -38. Solve 39*d + a = 29*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1795691928 a multiple of 202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2750 (base 9) in base 6?\nAnswer: -13330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-2.476.\nAnswer: 7.428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -5, 1\/4, -19, -6\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - v = 0. Let z(b) = 4*b - 3*b - 3*b + 10. Let s(n) = -5*n + 30. Let j(t) = 3*s(t) - 8*z(t). What is j(v)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 8*p - 42. Let a be v(7). Which is smaller: 1\/5 or a?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, x: 7}. Give prob of sequence vv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1098, 1941, 3782, 7119, 12450, 20273, 31086?\n\"Answer: 83*x**3 + x**2 + 259*x + 755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of s**6\/2 + 3*s**5\/10 - 20*s**4 - 16*s**3 + 148*s. Let w(u) = 0. Calculate u.\nAnswer: -4, -2\/5, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - (5 - 4)) + (-49)\/(-1) + -39.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000 + 11001?\nAnswer: 111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c**5\/15 - 44*c**4\/15 - 44*c**3\/3 - 136*c**2\/15 + 74*c\/5 + 12 = 0?\nAnswer: -15, -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of -i**5\/20 - 7*i**4\/8 - 3*i**3 - 73*i**2\/2 - 2*i - 25. Let p(o) be the first derivative of z(o). Factor p(m).\nAnswer: -3*(m + 1)*(m + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1787 - 1772)\/((-8)\/(-1))\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4*u + 5 = 0. Suppose u*j - 2*h - 15 = 0, 5*j - 60 = -4*h - 15. Suppose j*r - 18 - 17 = 0. What are the prime factors of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -13 + 103*y - 12 - 105*y. Let h be v(-15). Suppose -x = -h*u - 10, 4*x = 4*u + u + 100. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3409*6\/48*8. Let d(z) = -h*z + 6849*z - 3424*z. Let x(c) = -8*c. Calculate x(d(b)).\nAnswer: -128*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5416 and 136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -37103459, 0.2, -1\/5, 1\/3, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 21 = 5*y. Suppose -y*s = -s. Suppose s = 4*v - 12, 0*n = n + 2*v - 299. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-95)\/(-38))\/(2\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*q + 7. Suppose -g = 3*r - 4*r + 7, q*r = 4*g + 30. What is the second derivative of 2*x**2 + r*x**2 - 2*x**2 + 3*x wrt x?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*d + 1907 - 155 = -142*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 41, 60, 79, 98?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**3 + 1647253*v**2 + 28003574*v + 26356320 = 0 for v.\nAnswer: -16, -1, 1647270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 1*(-9)\/(-54)*-6 + -9.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14702 * -65.\nAnswer: 955630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 9*d - 8. Let p be u(7). Suppose -5*t - 89 = p. What is the units digit of 3\/15 + t\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -5*l - 88, 33 = b - 0*l + 2*l. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 269 = -17*r - 1244. Let x = r - -97. Solve x = 5*m - 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**3 - 9*w**2 - 9*w - 4. What is the remainder when 62 is divided by o(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 280 + -277. Suppose -5 = -3*p + 2*y, 2*p = -d*y + 1 + 11. Solve -4*o - 8 = 3*h - p*o, -2*h = -2*o for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3964, -7949, -11930, -15901, -19856?\nAnswer: -23789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 47\/(-8) - 1\/4. Let a = 304135\/69496 + 220\/1241. Let z = p + a. Which is bigger: z or -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/3 (b) -4 (c) -3 (d) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 270 = -275. Let p be 4\/(-12) - (-38)\/6. Let w(u) = -u - u - p + 5. Calculate w(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 126\/(-4)*850\/25. Let v = -5397\/5 - i. Find the common denominator of 107\/10 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**3*t + 100*j**3 - 71*j**2*t + 63*j**2 - 1052*j*t - 149 wrt j.\nAnswer: 12*j*t + 600*j - 142*t + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7587?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.78 + 127847?\nAnswer: 127842.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*d + 6236 = 17111. Suppose 5*g - 2335 = d. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2109115.\nAnswer: 5, 137, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1412711 is divided by 869?\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43565, -43564, -43563, -43562, -43561, -43560?\nAnswer: -43559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -4*x + 528, 3*x - 2*x + n - 134 = 0. Is x a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((3 + sqrt(500)*-2 + sqrt(500))**2 + sqrt(500) + (4*(sqrt(500) + sqrt(500) + -1 + sqrt(500) - sqrt(500))**2 - sqrt(500)))*5.\nAnswer: -127695 + 3300*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 377?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 2*h - 6 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 14 = 5*t + p, -3*t - p + 10 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 376\/3 - 20\/15. Is 10 a factor of (-6)\/9 + c\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -50*d - 57. What is the units digit of t(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 equal to -2418?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o*o*o\/(o*o**(1\/6))*o*o)\/o))**11*o*o*o**(-11)*o*o*o*(o**(-4\/9)\/o*o)\/o assuming o is positive.\nAnswer: o**(-497\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -53118409, -53118408, -53118407, -53118406?\n\"Answer: b - 53118410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 6) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*v + 14 + 50 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r + 4*g - 30 + 42, -3*r + 5*g + 15 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-11)*m**(-2\/19)\/m)**(-24) assuming m is positive.\nAnswer: m**(5520\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99, 227, 333, 411, 455?\nAnswer: 459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*k**6 - 59579*k**5 - 59588*k**5 + 119150*k**5 + 678*k**2 wrt k.\nAnswer: 720*k**3 - 1020*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 679649*u - 2147. Let p be a(3). What is p rounded to the nearest 100000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 times -341233\nAnswer: 3412330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 10:21 AM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 9229248, 18458514, 27687780, 36917046, 46146312?\n\"Answer: 9229266*l - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of o**4\/3 - o**2\/2 + o. Let m be p(-1). Solve -4*c + 12 = 4*q - 9*q, -2*q = -m*c + 2 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 130 and 1495?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 133159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4467 + 4604. Solve 2*c + 139 = f for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 23, 7, -5, -13, -17, -17, -13?\n\"Answer: 2*r**2 - 22*r + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111 - -101010011100101?\nAnswer: 101010011111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x + 1. Let p(i) = 6*i + 17. Let b(m) = 2*o(m) + p(m). Let z be b(-4). Factor 810*s**z + 228 + 2487*s**2 + 75*s**4 + 72 + 1620*s - 30 + 30.\nAnswer: 3*(s + 5)**2*(5*s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -23*i + 5*i - 12*i. Let a(u) = -u**2. Determine o(a(t)).\nAnswer: 30*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300 is divided by 35.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 559294130 rounded to the nearest 1000000?\nAnswer: 559000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 z when four letters picked without replacement from bzbtbzzzttzbzbzbttt.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*a**2 + 21753315*a - 5438330.\nAnswer: 5*(a + 1087666)*(4*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/4)\/(36\/(-120)). Suppose 2*a - g - 36 = 0, -a - 41 = -4*a - v*g. What is the greatest common factor of a and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) -0.0256 (c) -507 (d) 4 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 13 - 44?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 704 and 176.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 33*h**3 - 8*h. Let c(l) = -11*l**3 + 3*l. Give -8*c(w) - 3*s(w).\nAnswer: -11*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -8*p**2 - 1191*p - 223. What is u(-148)?\nAnswer: 813","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qttt when four letters picked without replacement from {q: 3, t: 13}?\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 279920055 by -2005.\nAnswer: -139611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.205 rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g + 19 - 91 = 0 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 2\/2523, 2, 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-40)*d*d**45*(d**5)**(-23) assuming d is positive.\nAnswer: d**(-109)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 16*z + 5. Let a(r) = 209*r + 66. Let q(j) = 5*a(j) - 66*w(j). Let i(g) = 2*g**2. Give i(q(x)).\nAnswer: 242*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 718 a factor of 688964798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*j = -57*j + 880 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/((-16)\/20) - 3. Determine p so that -2*p**z + 22*p - p**2 - 7*p - 12*p = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 2*j**2 + j + 27. Give k(0).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1566763 is divided by 522246.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o\/o**(-2)*o*o)\/o*o)**21)**(-2\/89)\/(o**(-3\/5)*o\/(o**4\/o)*o**(1\/3)\/o*o**(-1\/8)\/o) assuming o is positive.\nAnswer: o**(16663\/10680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18849*t - 18677*t + 6020 for t.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49 - 1316*i + 15 - 64 - 675*i to the form o*i + u and give o.\nAnswer: -1991","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*h**3 + 56*h**3 + 6*h - 17*h**2 - 8*h**2 + 25*h**2.\nAnswer: 2*h**3 + 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 224 divide 7840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*x + 2*x - 2*x in the form c*x + n and give c.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -198648, -0.12?\nAnswer: -198648","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -124 + 128. Suppose 5 - 17 = -o*i. Solve 0 = -t - 2*t + i for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4476 divided by -27489\nAnswer: -1492\/9163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6029 is divided by 20?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/4 - (-45)\/10. Let q = d + -1. What are the prime factors of -3 + 1*(16 + q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 421323319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 27, 1, -1, 4, -47 in increasing order.\nAnswer: -47, -1, 1, 2, 4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**3\/17 - 9453202*b**2\/17 - 8*b\/17 + 37812808\/17 = 0. Calculate b.\nAnswer: -2, 2, 4726601","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 51245000 to the nearest one hundred thousand.\nAnswer: 51200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-91)\/(-3)*16434\/19173.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1889540*s**4 + 2*s**2 - 312197?\nAnswer: -45348960*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6 - -3*(-4)\/(36\/3). Suppose 25 = -r*m, 0 = p - 0*p - m - 64. Calculate the remainder when p is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 2:14 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*n**4 + 24*n**4 - 26*n**4 + (-n**4 + 5*n**4 - 2*n**4)*(2 - 2 + 1) as r*n**4 + o*n**2 + u*n**3 + s + k*n and give r.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12899*b - 503 = 13402*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1728.298 and -71866761.\nAnswer: -71865032.702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/5, -970, 10, 2\/3, 9, 3\/58?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -15. Let f(t) = -t - 35. Let q(n) = -3*f(n) + 7*w(n). Let g(i) = 28*i. Let j(b) = -9*b. Let h(z) = -4*g(z) - 13*j(z). What is q(h(c))?\nAnswer: 15*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -18*p**3 - 29*p**2 - 104*p - 2. Give q(-3).\nAnswer: 535","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) - (sqrt(833) + sqrt(833)*3)) + 4 - (sqrt(68)\/sqrt(4)*-6 + 1*sqrt(1700)).\nAnswer: -25*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/31073?\nAnswer: -2\/31073","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -5*c + 3. Let q(n) = -n**2 + 22*n + 78. Let a be q(-3). Let m(i) = -i**3 - 5*i + 2. Calculate a*m(x) - 2*f(x).\nAnswer: -3*x**3 - 5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -51*(-3 - (-8)\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4\/4 - 21*x**3 - 276*x**2 - 1136*x - 1536.\nAnswer: (x - 96)*(x + 4)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 - -45. Let j = o - 12.23. Round j to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) 0.19 (c) 6\/6095 (d) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.2, 8, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 9*j**2 - 6*j + 104. Calculate the remainder when 2175 is divided by i(-10).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 46 = -5*f, 3*f - 2*w + 29 = -0*f. Suppose o = -2*o + 3*k - 30, 6 = -2*o - 5*k. Is o > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/5)\/(2\/(-5)). Let q = -2 + h. Suppose 0 = o - 0*o - q. Solve -o = -g + 4 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -732 - -351949\nAnswer: 351217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 13*u**2 - 4244*u - 6. Let k(w) = 18*w**2 - 5659*w - 8. Determine -11*b(v) + 8*k(v).\nAnswer: v**2 + 1412*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - 2. Let n = -1 - h. Let l(b) be the third derivative of b**5\/60 - b**4\/8 - b**2. What is l(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (((-6)\/(-18))\/(2\/(-63)))\/((-3)\/(-4)). Let r(y) = 6*y + 85. Give r(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 48, -6, -0.4?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p + 13*p + 13*p + 16*p**3 - 28*p.\nAnswer: 16*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-540))\/(((-330)\/(-33))\/(-40))?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4 - 13*b**2 + 0 - 3*b**2 wrt b.\nAnswer: -32*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4*w - 1. Let x be y(-1). Solve 3*z = -o + 4, -x*z + 2*o + 3*o = 20 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -6*(sqrt(63) + sqrt(252)*-2)\/(sqrt(9) - sqrt(27)\/sqrt(48)))**2.\nAnswer: 48*sqrt(7) + 4033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = f - 0. Suppose -f*p + 17 = g - 0*g, g - 2*p = -3. Suppose g*q - 7*q = -16. Is q a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -32248 greater than -32249?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -271651 + 271764.889. Let x = q - 114. What is x rounded to two decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -7*j**3 + 6*j**2 - 7*j - 5. Let p = -11 + 14. Let z(b) = -b + 9*b**2 - 8*b**2 + 2 - p - b**3. Calculate w(k) - 6*z(k).\nAnswer: -k**3 - k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2094297?\nAnswer: 3, 73, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 u when two letters picked without replacement from {i: 1, g: 1, d: 1, l: 1, u: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/7)\/v)**(-14) assuming v is positive.\nAnswer: v**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 513 = -9*o - 27. Let w = 172 + o. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 9*l + 2. Let y be n(-8). Suppose 11*z - 6*z - y = 0. Suppose q = -2*c + 45, z*q + q + 9 = 0. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 36, 42, 58, 90, 144?\nAnswer: 226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 8*s**5 - 9412*s**4 + 3702000*s**3 - 491067848*s**2 + 1679244904*s - 717317652 = 0.\nAnswer: 1\/2, 3, 391","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 14. Let p(f) = 6*f**3 - 5*f**3 - 1 + 3*f**3 - f**2 + f + f**3. Let q be p(1). Solve 0 = g*a - u + q - 21, 4*u + 11 = a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -98859 by -3.\nAnswer: 32953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67630895.\nAnswer: 5, 13526179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4 - 6 - ((0 - -1) + -3) and -33\/283?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 403987823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 0.2, -1\/8, -30, -0.4?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12216 is divided by 12174.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15289 - 15292.7. What is the fourth smallest value in t, -0.2, -2\/11, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75330 divided by 62\nAnswer: -1215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 1534 = -4*j - 3*r, -j = -r - 382. List the prime factors of j.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of n**6\/120 + n**5\/60 - n**4\/3 - n**3 + 53*n**2. Let h be f(-3). Solve -3*s + h*i - i - 10 = 0, 0 = -4*s + 5*i - 45 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7233 + -7231. Calculate the highest common factor of 134 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 - -19. Suppose -5*r + 7*r + 10 = k. What is the common denominator of r\/(-2)*(-27)\/(-40) and -101\/6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5775 is divided by 170.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus -309.304?\nAnswer: -309.104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2354 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -172\/54385 >= -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 12. Solve -2*m + 5*i = 11, m - 2 = -z*m + 2*i for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.1, 4, -1, -2\/51?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(91)*1 + (sqrt(91) + (sqrt(91) - 2*sqrt(91) - sqrt(91) - sqrt(91)))*6)\/((3*sqrt(28)\/sqrt(2))\/sqrt(2)).\nAnswer: -11*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100 = 25*q + 950 for q.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6576416.\nAnswer: 2, 7, 11, 17, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*j + 5*t = 35*j - 57, -t - 38 = -5*j for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35 (base 13) to base 2.\nAnswer: -101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a litre in millilitres?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -9*z**2 + z. Give m(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226*b + 6542 = -417*b - 1627 + 453 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 183637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 193 + -f932d?\nAnswer: -f919a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 50 and 20.\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/14)\/((-7)\/((-98)\/(-18)))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 53\/102 + -6\/17. Let u(j) be the third derivative of 0 + 2*j**2 + i*j**4 - 1\/30*j**5 - 1\/3*j**3 + 0*j. What is l in u(l) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 131.1 - 139. Let q = k - 12. Let w = -21 - q. What is w rounded to 0 decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -2*x**2 - 3797980*x - 1803081510050 = 0.\nAnswer: -949495","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 2161?\nAnswer: 2155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from dbbebbbbbdedddb?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g - 2*g - 1 + 25*g)*(-g + 5*g - g) as i*g**2 + s*g + h and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31702278.\nAnswer: 2, 3, 29, 167, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 10 = -2*t, -3*r - 2*r - 66 = -43*t - 233 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*t - 21 + 81. Solve -6*k + 2 = -k - t*c, 0 = -2*k - c + 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (594 - 593)*(-38 + 0 + 1).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 7:30 AM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - i + 7. Let q = 26 + -20. What is the remainder when o(0) is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 14*g**2 + 31*g + 21. Let w be 4\/((-16)\/12) + (21 - 2). Let v be r(w). Solve -5*p - 5*b = -5, 18 = v*p + 3*b + 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h\/h**(-2))\/h))\/h**(-4))\/(h**1)**40 assuming h is positive.\nAnswer: h**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 4*j**3 - 102860*j**2 - 1028900*j - 2572500 = 0.\nAnswer: -5, 25725","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c04 (base 13) to base 14.\nAnswer: -a52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 5 (c) 2 (d) 51\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5449 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/34 and 85\/144.\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 526*r - 16105. Determine i(-29).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 3*b**2 - 478002*b + 19040492667 = 0.\nAnswer: 79667","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 278*t + 491922. Give a(-576).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2247, -2375, -2477, -2553, -2603, -2627, -2625?\nAnswer: -2597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 4*v + 5. Calculate c(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011911974727 rounded to six dps?\nAnswer: -0.011912","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1\/2, -21, 1\/7, 6?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 750 divided by 75?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 7. Let d(k) = 2*k + 2. Let o be d(-3). Let n = q + o. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 373*n**2 - 1470*n - 2210. Give k(369).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 7*m**2 - 7*m + 8. Let w be h(7). Let n = -29 - w. What is the greatest common divisor of 84 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -170218*i**2. Let l be a(2). Let r = l - -29384. Let j = -468512 + r. What is j rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k**5 + 321356659*k**4 + 192319*k - 376 wrt k?\nAnswer: -40*k**3 + 3856279908*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}