diff --git "a/data/dm_maths/full_data_1/10438_11255.jsonl" "b/data/dm_maths/full_data_1/10438_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10438_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let t be (18 + -17)\/(1\/(-2)). Let r be 6 + -4 + t - (-13 - -1). What is the units digit of (-795)\/(-10) - (-6)\/r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 42445891?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/690)\/(3\/(0 - (-330)\/(-44))).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28488 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: Expand -u**2 + 4*u**2 - 2*u**2 + (-4*u + u + 2*u)*(0*u + 0*u - 2*u) + 3*u**2 - 3*u**2 + 2*u**2 + (2 - 2 + 1)*(-5*u**2 + u**2 + 3*u**2).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 9, c: 4, x: 6}. Give prob of sequence uuc.\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of 4*j**5\/5 - j**4\/12 - j**3\/6 + j. Suppose 213*b - 566*b = 419 - 66. Give a(b).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -734814, -1469035, -2203256, -2937477, -3671698?\nAnswer: -4405919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 78824 = -6426. Round l to the nearest one thousand.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 390, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -6393*z. Let g(t) = -t**2. Give v(g(o)).\nAnswer: 6393*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 12c1 (base 16) to base 7\nAnswer: 16666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1471677530.\nAnswer: 2, 5, 9883, 14891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 3. Suppose 3*u = p*u + 9. Solve -3*r + u = -0*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 311*c + 384 = 317*c. Suppose -3*y - 58 = -c. Sort -5, 5, y.\nAnswer: -5, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v - 6. Let a be (4\/1)\/((-36)\/(-27)). Let j be o(a). Suppose 3*k + 3660000 = -3*y, 2*k + j*y = -0*y - 2440000. Round k to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 276*u**3 - 385*u**3 + 124*u**3.\nAnswer: 15*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4028*b*u**5 + 2*b*u**2 + 189*u**2 wrt u?\nAnswer: 241680*b*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1010*i**2\/11 - 1044248*i - 22746\/11 = 0.\nAnswer: -1\/505, 11373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -740766, -1481533, -2222300, -2963067, -3703834, -4444601?\nAnswer: -5185368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-6\/25))**(4\/27)*w\/(w\/(w*w*w**36))*w\/(w*w**(1\/9)\/w*w) assuming w is positive.\nAnswer: w**(25699\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-3 - -6) + -6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1222387.\nAnswer: 641, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + k**2 - k + 10. Let b = 64 + -64. Calculate o(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**2 - 6*w + 4. Suppose 11*k = -3*k + 210. Suppose 16*z = k*z + 4. Determine p(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 460768, 921536, 1382296, 1843042, 2303768?\n\"Answer: -o**3 + 2*o**2 + 460769*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + (6 - -2 - (-4 + 3)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 950851.8ml in litres?\nAnswer: 950.8518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 82 - -1287. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 2283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000324 rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 166721 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**2 + 3*q**2 - q**2 + 4*q**2.\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 2*r. Let i be m(-8). Let y be i\/(-2) + (-5 - -5). What is the greatest common divisor of 3 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -9*z + 3. Let w be p(-4). Suppose -d = 0, -5*h + w = -2*h + d. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 843.1799ng in micrograms?\nAnswer: 0.8431799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -3 (b) -0.3 (c) -2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -4*z + 1, -2*z + 0*p + 2 = -2*p. Suppose 5*k - 10 = 0, -d - z*d = 3*k - 321. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 34*r + 3. Let z be d(-2). Suppose -5*j - 597 = -10*j + 2*s, 5*j + 2*s - 593 = 0. Let v = j + z. Is 18 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 277\/4, -1, 0.5, -3.6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 44 - -73b?\nAnswer: 783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-10) - 1680\/50. Is h <= -34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c*p**2*t - 96498*c*p**2 - 2*c*p*t + 96*c*p - p**2*t + p**2 + 1880*p*t - 5*p wrt p.\nAnswer: -2*c*t - 192996*c - 2*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 - 28. Suppose 0*c - i*c + 9 = 0. Suppose 0 = c*p + 3, 0 = 4*g - 2*g + p - 53. Is 4 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 142*m + 1454. Give g(-11).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4359 is divided by 36?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97645560?\nAnswer: 2, 3, 5, 19, 113, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence we when two letters picked without replacement from {e: 3, w: 8}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**2\/(c\/(c*c**(2\/13))))**48*(c\/(c\/(c\/(c*(c*c**(-1))\/c))))**(2\/127)*c**(-4\/9)*c**(5\/4) assuming c is positive.\nAnswer: c**(6193583\/59436)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -90 + 92. Suppose a - 3*a - q = -516, -4*q = -h*a + 496. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 230 and 736.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 333 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, b: 2, s: 1, m: 9}. What is prob of picking 1 s, 1 b, and 2 m?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 137*j + 105035 - 2701596. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 57*y**2 + 15*y + 240. Let f(z) = -4*z**2 - z + 2. What is -15*f(x) - u(x)?\nAnswer: 3*x**2 - 270","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/21)\/((-100)\/1500).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 322320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 20 + 16 = 0. Let h(a) = a - 7 + 5*a - 3 - c*a. What is the tens digit of h(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2 = 3*q + 5, 2*h + 2*q = 10. Suppose -145 + 4 = -h*v. Let s = 3 + 13. What is the remainder when v is divided by s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - -2. Let p = 1.796 + -1.696. What is the nearest to -2 in z, -0.4, p?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -61928, -247778, -557516, -991142, -1548656, -2230058?\n\"Answer: -61944*z**2 - 18*z + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 997413?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t - 7 = 11 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -195*g**4 + g**3 - 2*g + 167 wrt g?\nAnswer: -2340*g**2 + 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-6))\/(4\/6). Let n(k) = -14*k + 1. Determine n(f).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 742?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide -10 - (-3)\/((-21)\/(-10115))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1606?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -60668, -119535, -178402?\n\"Answer: -58867*u - 1801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 99826033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - j + 37 = -0*j, b = -4*j + 28. Calculate the least common multiple of 6\/(-22) + (-3149)\/(-737) and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2881276253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 5*f**2 - 4*f + 2. Let i(u) = 8*u**3 - 2*u**2 - 2*u + 2. Let k be i(-2). Let n be (-4)\/10 - k\/15. List the prime factors of z(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 5 - 5)*(-1 + 2 + 1)*(g - 2*g + 0*g).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.135986036 to 2 decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -38230, 1\/3, -80?\nAnswer: -38230","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 734*a**3 - 189*a**3 - 195*a**3 - 165*a**3 - 186*a**3.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -k**9\/1512 + k**8\/210 - k**7\/105 - 2*k**3\/3 + 2. Let g(h) be the third derivative of d(h). Factor g(o).\nAnswer: -2*o**3*(o - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15816\/19770)\/(204\/(-10))?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3288273 is divided by 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 734752063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 5:46 PM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 263 - 0.7.\nAnswer: 262.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -26*-15.245\nAnswer: 396.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 q when two letters picked without replacement from keekeeeveveeeeeekvqe?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5555 + 12502. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2 - 2. Suppose -o*w + 2 = -n - 7, n = -3*w + 12. Find the second derivative of -2*d - 4*d + d**4 - w*d**4 wrt d.\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2 + 97326*k.\nAnswer: 2*k*(k + 48663)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 640 (base 9) to base 6\nAnswer: 2230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 412 is divided by 117?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46 - 113. Let h = s - -69. Suppose h*n - 7 = 5*l, 0 = n - 4*l - 3 - 2. Calculate the smallest common multiple of n and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 9*s - 10. Let p be k(-10). Suppose -12*x + 8*x + 12 = p. Suppose -8*i = -x*i - 270. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 339*j - 13399 + 40531 = -630*j for j.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 14. Let w be 105\/(-6)*(-9 - s). Calculate the greatest common divisor of 5 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 52*r**2 - 141*r - 66. Calculate the smallest common multiple of z(-13) and 7.\nAnswer: 73885","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 893.6388 micrometers?\nAnswer: 0.8936388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 10:24 PM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6*(2 + -3) + 2. Let w(n) = 2*n - 11. Let d be w(v). Suppose d*k - 5 + 0 = 0. Solve -s + 1 = -k for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -6a5?\nAnswer: 6a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-5)*b**(4\/25) assuming b is positive.\nAnswer: b**(-121\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -1 (c) 40 (d) 0.2 (e) 8 (f) -1.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*c - 0*c. Suppose -b = -c*b + 9. Does 12 divide (-105)\/(-9) + 1\/b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o**2 + 36*o + 7. Let p(f) = -f**2 - 12*f - 2. Determine 2*c(t) + 7*p(t).\nAnswer: -t**2 - 12*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 805\/151 - -1\/453. Is m less than or equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -52*p + 71*p + 624 - 225 for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 7*l**2 + 6*l + 148. What is the tens digit of g(17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.14*132.3\nAnswer: 18.522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264093026?\nAnswer: 2, 191, 691343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n + 12. Let z be p(0). Suppose 3*h + 20 = 5*w, h + 3*w = -2*h + z. Solve 0 = -c + 3 - h for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2*n**2)*(-5 - 1 + 4)*(2 - 2 + 1)*(3 + 0 - 2).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.049 - -0.049. Put 0, o, 4 in increasing order.\nAnswer: o, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of 16*i**3\/3 - i**2\/2 - 2*i - 3. Let l be r(-1). What is the greatest common divisor of l and 195?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(64)*-1 - sqrt(64))\/sqrt(4))\/(-1*sqrt(8)*-4).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 5*f + 40 = -0*f, -4*l + 28 = -2*f. Suppose 0 = -5*a + 3*a + i - 2, l*i = -a + 21. Let n = 2 + a. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12471.1279 to the nearest one hundred.\nAnswer: -12500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/15)\/(-4*62\/(-2232))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71401.03 litres to millilitres.\nAnswer: 71401030","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 1564*x + 10949. Give r(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m**2 + 8. Let y(t) = t**2 + 92*t + 1384. Let f be y(-19). Let s(h) = -h**2 + 4. Give f*p(a) + 7*s(a).\nAnswer: -a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139*d**2 + 43*d**2 - 722*d**2 - 412*d**2.\nAnswer: -1230*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -4. Let u be i - (-4)\/(-4) - 1. Solve u = 2*h - 7*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 5*p + d + 17, 2*d = 3*p - 54. What is the least common multiple of 36 and p?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.1, 21, 2\/11, -4 in descending order.\nAnswer: 21, 5, 2\/11, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from emmmmccwmwmcccmmmw. What is prob of picking 1 w and 1 c?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1f - -1b15?\nAnswer: 1af6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/((-420)\/72))\/(45\/(-21))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 15, 27, -0.5 in increasing order.\nAnswer: -3\/2, -0.5, 15, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 16821, 15951, 15081, 14211?\n\"Answer: -870*t + 17691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**3\/((i\/((i*i*(((i\/(i\/(i*(i*i\/(i*i\/(i*i\/(i\/i**0))))\/i)))\/i*i)\/i)\/i)\/i))\/i)*(i*i**(-2\/11))\/i**(-2))**(13\/2) assuming i is positive.\nAnswer: i**(416\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38 + -3. Which is greater: -43 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of -7*o**6\/120 - 11*o**4\/24 - 3*o**2. Find the second derivative of z(a) wrt a.\nAnswer: -42*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = t - 3, l + 3 = -2*t - 0. Let d(n) = 6 + 4 + 9 - 14 + 4*n - 7*n**3. Calculate the remainder when d(t) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 9:40 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -358882, -358883, -358886, -358891, -358898, -358907?\n\"Answer: -s**2 + 2*s - 358883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 2*b = -1463 + 1437, 0 = -x - 3*b - 15 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 146 + -10 + 3 + (-25 - 1 - -12) + 13?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11621186, -11621183, -11621182, -11621183, -11621186?\nAnswer: -11621191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 3, -3, -1652, 1 in descending order.\nAnswer: 13, 3, 1, -3, -1652","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (-15)\/45 + 1038\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 218a66a9?\nAnswer: -218a66a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -94 - -99. Let m = 0.7 + 3.3. Let s = -152 + 153. Which is the nearest to 0? (a) m (b) q (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13761 and 7557.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1789, -1673, -1581, -1513, -1469, -1449, -1453?\nAnswer: -1481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7810 is divided by 81.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -24b4 - -a?\nAnswer: -24a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000812126 rounded to five decimal places?\nAnswer: -0.00081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 27052691 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -9*x**2. Let v(j) = 56*j + 1. Calculate v(m(d)).\nAnswer: -504*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5 + 3*(2 + (sqrt(17) + -2)**2 + (sqrt(17) - sqrt(204)\/(sqrt(300) + sqrt(12))))).\nAnswer: -19*sqrt(17) + 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 10*x**2 - 9*x. Let c be s(-9). Suppose -4*y = -c*y - 16. Is 4 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 + 4)*(0 + 3 - 1)*(1 + 2 - 5)*(6867 - 83*d - 6867).\nAnswer: -996*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 j when three letters picked without replacement from {d: 1, n: 1, j: 2, g: 1, a: 1, h: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1519 is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2380 and 280.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 4 (b) -0.3 (c) 3 (d) -0.1 (e) 3879\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 10002704.04 seconds?\nAnswer: 16.5388625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x = 2*x + 16768. Suppose x = 5*u - 754. What is the greatest common factor of u and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + 14*j + 2. Is u(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of 5\/24*o**4 + 7*o + 0*o**2 - 1\/40*o**5 - 10\/3*o**3 + 0. Let s(n) be the second derivative of i(n). Differentiate s(w) wrt w.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 257674295 and 670.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*v**2 - 8*v**2 + 8*v**2 + (-1 + 1 - 2*v)*(16*v + 45*v + 8*v)*(1 - 3 + 0) - 2*v**2 + 4*v**2 + v**2 to c*v**2 + g + m*v and give c.\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 367?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 + 20.02. Let o = -0.98 - f. Suppose 5*d - 6 = -4*r, -2*d = d - 2*r - 8. Which is the nearest to 1? (a) -4 (b) d (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1467?\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 99 + -96. Suppose a*w + 5*t = 988, -5*w + 1600 = -0*t - t. What are the prime factors of (w\/6)\/(2\/4)?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/238335 and 111\/2410.\nAnswer: 114877470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -878 or -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -387800 = 3*n + 17*n. Let h = 32181 + n. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-4)*1*(15\/(-5))\/3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1*5\/(-15))\/(2\/30)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y**3 + y**2 - y**2)*(-578 + 63 - 856) to d*y**2 + a*y + h*y**3 + v and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 2 = -18*f + 20*f, -60*i + 61*i = f - 9 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -500420672 divided by -57812.\nAnswer: 8656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71687?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + (-1177)\/(-44) - (-6)\/(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 11:21 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-2))\/(138\/(-45080)*70)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -8*q + 3*q. Let v(k) = 5*k**3 - 18*k**2 - 4. Suppose 3*z - 59 + 47 = 0. Calculate the smallest common multiple of q and v(z).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1635885 and 729.\nAnswer: 132506685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6345 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 7:39 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 0. Suppose -2*k + 5*x + 22 = 0, -2*x - 6 = x. Let z(t) = -2*t**2 + 20*t - 40. Let h be z(5). Solve h + k = -r*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000111396377 to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -178*z**7\/7 - 2*z**3\/3 + 26*z + 81. Find the third derivative of v(u) wrt u.\nAnswer: -21360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-156)\/(20\/(-5)))\/1*(-13)\/39?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -14, -8, -16, -56, -146, -304, -548, -896?\n\"Answer: -3*t**3 + 11*t**2 - 6*t - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*y = 40, 5*q + 4*y - 4 = 70. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-1*(sqrt(7) - (sqrt(7) + 1)) - (sqrt(7) - (-5 + sqrt(14)\/sqrt(2)) - sqrt(7))) + sqrt(7)*2 + 5 + 1*sqrt(7) + 5)**2.\nAnswer: 88*sqrt(7) + 233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from {f: 2, q: 7}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 561555 = 4563*q - 16627*q - 210541 for q.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7712 is divided by 1009?\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 36 = 4*v. Let a(q) = -q**3 + 9*q**2 - 5*q + 13. Let d be a(9). Let i = 40 + d. Which is greater: v or i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004972461 to 7 dps.\nAnswer: 0.0004972","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1689*d**2 + 2046*d**3 + 0*d - 1693*d**2 - d to t*d**3 + r + n*d**2 + c*d and give t.\nAnswer: 2046","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 3*y - 5 - 4, 3*g + 4*y = 17. Let d = 0 + g. Calculate the greatest common factor of d and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 5*w**2 + 6. What is the remainder when a(4) is divided by 18?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 715 = 5*n, n - 4*d + 124 = 2*n. Find the common denominator of 1452\/n - (-2)\/(-8) and -44\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73728168 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*j - 50068 = -3*z, -5*j = 3*z - 37559. Suppose -81579 = -3*b - z. Let y = -11422 + b. What is y rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -366864103568 from 0.05.\nAnswer: 366864103568.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 27*v - 18. Let m be l(24). Calculate the highest common divisor of m and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 121 + 4*f**2 - f**4 - 121 wrt f?\nAnswer: -24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + b = 8. Suppose -25 = -4*c - 3*g, 0 = b*c + g - 0*g - 11. What is the lowest common multiple of 2 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 561\/(-51) + (0 - -2415604) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11138*b*f*i*y**2 + 47*b*f*i + 33*b*f*y - b*f + 2*b - f*i + 9*f - 12*i wrt y.\nAnswer: 22276*b*f*i*y + 33*b*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f - 2. Let k = 6 - 3. Let m(c) = 3 + c - c - 4*c + 0*c. What is k*i(j) + 2*m(j)?\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-10) + 15554\/(-2020).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 4*b - b + 1038, a - 5*b = 519. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 978)*(917 + -918). Which is the smallest value? (a) -2\/13 (b) z (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -421 equal to -410?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 34, -20, -14139 in decreasing order.\nAnswer: 34, 5, -20, -14139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/3 - 0)*-3. Let m be (-2 + 2)\/(3 + s). Let z = 1 + 0. Solve m*f + z = f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 73.04 - 72. Let z = 0.74 - i. What is the second smallest value in -3, z, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(4\/3)*y*y)\/y**(-1))\/(y**(-3)*y*y*y**(1\/3)\/y) assuming y is positive.\nAnswer: y**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + p**2 - 2*p - 2. Let x be c(-1). Solve -8*y + 2*y = x for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1049755 and 28308?\nAnswer: 2359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 20 - 23 - 2*u + 7 to p + t*u and give p.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2437 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7393922071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 15106500 to the nearest 100000.\nAnswer: 15100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136\/7 - 60\/7*c - 4\/7*c**2 = 0. What is c?\nAnswer: -17, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) 6 (c) 3 (d) -0.189 (e) -0.15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-14 - -9) - -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 1. Is 14 a factor of (-9 + 29)*(m + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**4 + 15*k**3 - 2*k**3 - 10*k**3 - 56*k**2 + 0*k**4 - 57*k**2 to h + a*k**3 + s*k**2 + i*k**4 + m*k and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -4*h**3 - 5*h**2 - 5*h - 19. Let o(z) = -2*z**3 - 2*z**2 - 2*z - 10. What is -2*a(l) + 5*o(l)?\nAnswer: -2*l**3 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-3)*(6 + 5 + -2). Let v = u + 1. Solve 0 = -v*b + 2 + 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 2*m + 10, -u = -3*u + 4*m + 6. Suppose -5*t = 3*x + 18, 0 = -3*t - 3*x + u*x - 34. Let n(f) = -f + 16. Is n(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 178 - 5?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57 - 44 - 2*h + 65 + h**3 to the form b*h**3 + l + w*h + a*h**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 5*i - 24 = 0, 0 = 2*l - 24*i + 20*i + 16 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83274802?\nAnswer: 2, 13, 1021, 3137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from mmommoo?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 14 + 6. Let h(r) be the second derivative of 0*r**s + 0 + 1\/6*r**3 - r. Let i(d) = d**2. Give i(h(q)).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, v: 1}. Give prob of picking 2 r.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**2 + 41608338*i + 432813447780561 = 0 for i.\nAnswer: -20804169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -9*k + 2. Let s be g(-2). Let x be 6\/(-9) + s\/3. What is the units digit of -2 + 1*4*x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 475134391 to the nearest integer?\nAnswer: 21798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172330 is divided by 2015?\nAnswer: 1055","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1259.1 + -1256.1. Sort 1, 14.8, n in ascending order.\nAnswer: 1, n, 14.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 31\/2 of a decade?\nAnswer: 1860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*h**2*s**2*z**3 - 319637*h**2*s*z**3 - 5039*h**2*z**2 + 2*h**2*z + 4*h*s**2*z**2 + 2*h*z**2 wrt z.\nAnswer: -12*h**2*s**2 - 1917822*h**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -301*k - 206 = -95*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 142 + 5425?\nAnswer: 10011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/66585 and 39\/2185.\nAnswer: 1265115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 5*t**4 - 1200*t**3 - 5905*t**2 + 249060*t + 253760 = 0.\nAnswer: -16, -1, 13, 244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + q + 5*q)*(-4*q**2 + 2*q**2 + q**2) + 3*q**3 + 0*q**3 - 2*q**3 + (2*q**2 + q**2 - 5*q**2)*(-2 + 189*q + 179*q - 361*q).\nAnswer: -15*q**3 + 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0386 - 403.9614. Let q = 403.9 + s. Let v = 6.03 - 6. Sort v, 2, q, 2\/13 in decreasing order.\nAnswer: 2, 2\/13, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -9899*i. Let w(l) = -l**2. Determine z(w(m)).\nAnswer: 9899*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47 - -341. Does 42 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -v - 2*v. What are the prime factors of (-6)\/(-30) - (-148)\/v?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4, 3, 16, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.4 - -15.4. Let i = 16 - q. Let l = 6.7 - 7. Which is the second smallest value? (a) 0.2 (b) l (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 4*o = -2*o + 31954, -2*o + 31946 = 5*j. List the prime factors of j.\nAnswer: 2, 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h**4\/3 - 19*h**3\/3 + 76*h**2\/3 + 32*h = 0. What is h?\nAnswer: -1, 0, 8, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*j - 15. Sort 1, -3\/5, j in decreasing order.\nAnswer: j, 1, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9ae75 (base 15) to base 7.\nAnswer: 4121153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -3*l + c + 19, 5*l + 5*c - 110 = 0. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-5)\/p**2*(p*p**(-3\/7))\/p**3)\/((p\/(p*p**(-2\/5)*p)*p)**(-1\/6)*(p**2)**8) assuming p is positive.\nAnswer: p**(-2663\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9299 - 9283. Suppose -4*d + 125 = -399. Suppose -2*g + d = g - 2*o, -4*o = -8. What is the remainder when g is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 1.3, -9, 1\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -37 * 173.\nAnswer: -6401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/6)\/((-3)\/(-4))*(413400\/(-832))\/(-265).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 3502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29096021*d**4 + 1139*d + 3919 wrt d?\nAnswer: 349152252*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1948748 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -201 * -0.3.\nAnswer: 60.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 - -61. Calculate the remainder when o is divided by (2\/7)\/(((-22)\/(-11))\/56).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + 4 + -36 - (-11 + 60 + 5)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12773 divided by -32.\nAnswer: 12773\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5 + 55\/(-10))*4. Let h be 27\/(-54) + q*1\/(-4). Put 4, 42, 5, h in decreasing order.\nAnswer: 42, 5, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35.52895 litres to millilitres.\nAnswer: 35528.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15222826?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -442, -400, -350, -292, -226?\nAnswer: -152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*g*u**3 - 861*g*u**2 - 2*g*u - 38*u**3 - 2504*u + 6 wrt u?\nAnswer: -54*g*u - 1722*g - 228*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 180532000 rounded to the nearest one million?\nAnswer: 181000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3462 divided by -6.\nAnswer: -577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighteenths of a day in minutes?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a second in milliseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/36 and 95\/108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 0. Let q(x) be the second derivative of x**5\/2 - x**4\/6 + x**2\/2 + 2*x - 1377. Determine q(z).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -10*l**2. Suppose 1 - 16 = -5*o. Suppose 5 = j + o. Let i(f) = f**2 - 3*f**2 - f**j + 4*f**2. Calculate i(g(t)).\nAnswer: 100*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 290221966 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 102002 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: Calculate the remainder when 33085 is divided by 96.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -554*z - 376*z - 206*z - 493*z.\nAnswer: -1629*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 5*y - 8. Let g be t(8). Let n be 6\/(-2) + -11 + g. Let c = n + 2. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -131729, -131702, -131675, -131648, -131621, -131594?\n\"Answer: 27*w - 131756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q**2. Let z(w) = -2*w. Let v(u) = 7*u + 20. Let n(x) = v(x) + 3*z(x). Give n(k(j)).\nAnswer: 2*j**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 98844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 804171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(6)\/(sqrt(6)\/(sqrt(6)\/sqrt(2))) - (sqrt(297)\/(sqrt(18)\/sqrt(2)))\/(sqrt(22)\/sqrt(2)*-3).\nAnswer: -3 + 4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 4:19 PM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u - 8 = -7*u. List the prime factors of -7*(-24)\/224 - 2770\/u.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 - 3 + 3 - k**2 - 3*k**2 + 2*k**2 + (-3 + 2*k + 3)*(k + 2*k - k) - 5 + 5 + 7*k**2 + k**2 - k**2 - 2*k**2)*(1 - 4 + 5) - k**2 + 3*k - 3*k.\nAnswer: 17*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 a when three letters picked without replacement from avvvaavaahhaaahv?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1019\/3 + 340. Put -15, u, 2, -4 in decreasing order.\nAnswer: 2, u, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -13161, -13159, -13157, -13155?\n\"Answer: 2*f - 13163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0318 rounded to three dps?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 1:10 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*c + 5*c - 58, c + 2*d = 11. Suppose c*l = 19*l. Solve 1 = -f - l for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.68532 milligrams in micrograms?\nAnswer: 53685.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 622279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 6:55 PM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 73*h + 902. Let f be a(-12). Solve -3*o = -f + 23 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + d + 4 - 27, 5*k - 3*d - 31 = 0. Suppose -6*y + 128 = -3*y + k*l, -y = 4*l - 38. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 0.14 (c) 4 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, p: 5, f: 4, a: 1, y: 1}. Give prob of sequence hpp.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 - 10*j + 47. Suppose -781 + 935 = -11*o. Give h(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = -2*p + 3*q, p - 5*q = 5*p - 150. Is 19 a factor of (p + -1)\/((-6)\/(-8))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20364812 divided by 4?\nAnswer: 5091203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 73*f + 459. Let a be y(-6). What is the highest common factor of 2100 and a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/1740 and 49\/1178280.\nAnswer: 34170120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 416963395 a multiple of 1159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 663 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 6*k - 442 = 3*k, -4*u + 361 = -5*k. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62, 78, 94, 110, 126?\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -10, 1, 0.1, 2\/3, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -53\/4 - -27\/2. Which is the nearest to 1? (a) j (b) 1\/7 (c) -2 (d) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -5*n**2 - 1140*n + 1145 = 0.\nAnswer: -229, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -35*z**3\/3 + 55*z**2\/2 - 2*z. Suppose 0 = 30*s + 778 + 872. Let d(w) = 5*w - 4. Give s*d(a) - 4*y(a).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - w + 15. Suppose -5*r - w*a + 0 = -5, -3*r = -5*a - 27. Solve -2*c = 2*c - r for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*1 - (-1)\/(3 - (-80)\/(-28)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of 343*k**6\/60 - k**5\/30 + k**4\/12 - 77*k**3\/2 - 918*k**2. Find the second derivative of i(g) wrt g.\nAnswer: 4116*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 55 + -32. Suppose -n = 5*f - 98. Does 5 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -9*v**4\/4 - 4*v**3\/3 - 4*v**2 - 9*v + 1. Let b be g(-9). Round b to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 10, 4*c - 3*w + 16 = -w. Are -5 and c nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23*k**2*o**2 - 7*k**2*o - 36*k**2 - 4*k + 2*o**2 - 19*o + 329 wrt k.\nAnswer: -46*k*o**2 - 14*k*o - 72*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -1 + 3. Let p be ((-116)\/5)\/((-4)\/10). What are the prime factors of a\/6 + p\/6?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**5\/13 + 160*i**4\/13 - 2854*i**3\/13 - 14272*i**2\/13 + 2856*i\/13 + 14112\/13 = 0.\nAnswer: -4, -1, 1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.2 + 9.2. Suppose 0 = 2*q + u + 8 + 30, -2*q - 46 = -u. Let m be 1\/3 - (-1)\/q. What is the second biggest value in m, b, 20?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 909, 3802, 8579, 15204, 23641, 33854?\nAnswer: 45807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 8*x - 19. Let n be u(3). Solve -7 = 3*d + 2*v, 2*d - d + n*v = 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 2435*m - 2507*m + 500 = 0, -f = 4*m - 27 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.1 + 1. Let i = 324.8 - 325. What is the closest to s in i, -0.3, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*z**2 - 46*z**2 - 65*z**2.\nAnswer: -88*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 340*b. Let v(i) = 4*i + 15. Calculate v(y(a)).\nAnswer: 1360*a + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*o - 11*o - 2 - 30*o**2 - 2*o in the form d + y*o**2 + t*o and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 448689 is divided by 946?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8263078 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16.9 - 17.9. Let r = -325 - -317. What is the smallest value in 2, r, o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -15 + 67. Let y = -444 - -388. Let x = b - y. Solve j = -0*j + x for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 34231792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2*i**5\/7 - 46170*i**4\/7 + 184850*i**3\/7 + 455070*i**2 - 18285840*i\/7 + 14961672\/7 = 0?\nAnswer: -23089, -9, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/296 and -109\/16576.\nAnswer: 16576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1698363 is divided by 94?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*z = 0. Suppose 4*p - 2*r - 26 = z, 0*p - 3*r = -4*p + 31. Suppose -5*l + 15 = -p*l. Solve l = q + 4*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, l: 8, k: 2, y: 3, e: 4}. Give prob of sequence ll.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 6 - ((-45 - -33) + 24 - (-58 - 3))?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7*(-2)\/8)\/((-225)\/300)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of -5\/6*c**5 - 1\/15*c**7 + 0*c + 9*c**2 + 19\/60*c**6 + 4\/3*c**4 + 1\/168*c**8 + 0 - 4\/3*c**3. Factor o(d).\nAnswer: 2*(d - 2)**2*(d - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 3*q + 1. Let a(h) = h**2 - 5*h + 2. Give -6*a(f) + 10*t(f).\nAnswer: 4*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.8 - 2. Which is the nearest to g? (a) 0.2 (b) -1 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**4 + 3 + 35*i**2 - 65*i**2 + 45*i**2 in the form q*i**3 + b*i**2 + c + w*i**4 + g*i and give b.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -70, -139, -208, -277, -346, -415?\n\"Answer: -69*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeezzzezzzzez. What is prob of picking 2 z?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 813602789?\nAnswer: 223, 739, 4937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(72) - (-1 + sqrt(18)).\nAnswer: 3 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 20 = 8*h - 12*h, 3*h - 64 = -5*w. Let c = -1 - -1. Suppose 3*m - 117 = -c*m. What is the remainder when m is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 130080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*h = -185*h - 94*h + 1512 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 6:13 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 times -19.169?\nAnswer: -2913.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6360 is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 5*l + 4*i - 19, i + 38 = 4*l. Suppose -2 = -3*x - z, 0*z = 4*x - 5*z - l. Is 7 + 0\/(2 - x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20101 - -11?\nAnswer: -20020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - m**2 - m + 1. Let t(z) = -9*z**4 - 5*z**3 - z**2 - 4*z + 21. Let a(y) = c(y) - t(y). What is the second derivative of a(o) wrt o?\nAnswer: 108*o**2 + 36*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2455 - 3622 = -1202*r + 1305*r for r.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(17))*6 + 2.\nAnswer: -22 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 79. Is s(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*u = 36*u + 31*u - 86. Let a(g) be the second derivative of -17*g + 0 + 1\/3*g**3 + 0*g**u. Let p(c) = c**2 - c. What is p(a(d))?\nAnswer: 4*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -2*b**3\/3 - b**2\/2 + 3*b + 16. Let h(a) = -14*a**2 + 190*a + 64. Let d(f) = 20*c(f) - 4*h(f). Find w such that d(w) = 0.\nAnswer: -1\/4, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/4 and 117\/100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/8 + 0)*-1. Let y(k) = -k**2 - 19*k - 34. Let f(n) = n - 1. Let i(q) = -6*f(q) - y(q). Let a be i(-5). Which is greater: b or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.3, -16\/39, -0.5, -0.1, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/148208757 or -1?\nAnswer: -4\/148208757","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*p + 105 = -43*p for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 50*w = -4922. Which is the second smallest value? (a) 0.7 (b) w (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 0.078.\nAnswer: 0.234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 27. Let g be (18\/w)\/(4\/(-10)). Solve -g*f = -1 - 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 6*i. Let j be (-2)\/(-4)*(-1 - (-90)\/66). Sort j, -1, i in descending order.\nAnswer: j, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 - 6*j - 5. Let k be m(-5). Let h be 5 + -3 + k\/(-2). Solve 0 = -5*v, v + 0*v - h = -2*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-60)*15 - -4*(-30)\/36.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.101 - 3.899. What is the closest to 2 in -15, t, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124749 a multiple of 167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**3 + 5*l**2 - 2*l**3 - 2*l**3.\nAnswer: -2*l**3 + 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 11 = -i - 21, -3*f + 15 = -3*i. Solve -2*g + 0*n = n + f, 3*g = -5*n - 18 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 6*m + 16*m - 12*m. Let l(r) = 3*r**2. Give l(i(c)).\nAnswer: 300*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u + u - 5*u + 0*u + 5*u - 3*u + (-1 + 2*u + 1)*(-2 - 1 + 1))*(1 + 7*u + 1 - 1) as r*u**2 + x + s*u and give r.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3866084 divided by 5\nAnswer: -3866084\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-22)\/(-99) - (-156)\/27. Let j(q) = -f*q - 9*q - 2 + 19*q + 0. What is j(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -29, -40, -67, -116, -193, -304, -455, -652?\n\"Answer: -l**3 - 2*l**2 + 2*l - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 181588?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 15\/4 of a centimeter?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 81847, 327356, 736531, 1309366, 2045855, 2945992, 4009771?\n\"Answer: -a**3 + 81839*a**2 - a + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.34 + -0.3399948. What is p rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 27959, 55918, 83877, 111836?\n\"Answer: 27959*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-8)*n**(-4))\/(n*n*n**(-1\/9)*n\/(n\/(n\/n**(-1\/2)*n))) assuming n is positive.\nAnswer: n**(-295\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b + 4. Let c be a(11). Let o be c\/6*(3 - 1). Solve -o = r - 3 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -496260 divided by 9190.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 11:21 AM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 65851366349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -27*n**3 - 235365*n**2 - 32796474 wrt n.\nAnswer: -81*n**2 - 470730*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156*k = -155*k - 1. Solve 5*u - 3*d - 14 - k = 0, -3 = -u + 4*d for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*l**5\/7 + 384*l**4\/7 + 148*l**3\/7 - 384*l**2\/7 - 170*l\/7 = 0.\nAnswer: -17, -1, -5\/11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -92064528.03 - -92064797.03000107. Let l = -269 + c. Round l to seven dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 7, 16, 41, 88, 163, 272?\nAnswer: 421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238 is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 389 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: Calculate the common denominator of 71\/28392456 and -97\/141256.\nAnswer: 28392456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -25111, -50223, -75337, -100453?\n\"Answer: -i**2 - 25109*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 5)*(123*p**2 - 379*p**2 + 128*p**2 + 128*p**2 - 767*p**5).\nAnswer: -5369*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1*w**(-1\/4)*w)**(-9) assuming w is positive.\nAnswer: w**(-63\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 5*m - g - 3*g, 0 = -m + 5*g + 31. Calculate the greatest common factor of m and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 smaller than 1656\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 10 = -0*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 78\/9 + (-2)\/3. Let k = 6 + x. Let z = 20 - k. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 365378 + -365383. Let v = 1.9 - 9.9. Sort v, -2\/11, 6, g in descending order.\nAnswer: 6, -2\/11, g, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15279 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03118*-0.04.\nAnswer: -0.0012472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 864*o**2 + 1427*o**2 - 176*o**2 - 245*o**2 - 4*o**3 + 5*o**3 as x*o + c*o**2 + t + f*o**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppp when four letters picked without replacement from ppppppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -66453890 to the nearest 100000.\nAnswer: -66500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(4 + -6 - -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1*(sqrt(17) + 0) - (sqrt(17) + sqrt(68)\/sqrt(4) + -2))**2 + -3*(5*(sqrt(17) + sqrt(17) + 1) - sqrt(17)).\nAnswer: -31*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206*i - 188*i = 0. Factor i + 32\/3*u**2 - 16\/3*u - 20\/3*u**3 + 4\/3*u**4.\nAnswer: 4*u*(u - 2)**2*(u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 298\/9 + -33. Let s(o) be the first derivative of -1\/4*o**4 - 1\/18*o**6 + 0*o**2 - t*o**3 - 1\/5*o**5 - 2 + 0*o. Factor s(d).\nAnswer: -d**2*(d + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29d (base 14) to base 6\nAnswer: 2243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -26*p - 3. Let b be r(-1). Differentiate 99 - 24 + 14 - b*x**3 wrt x.\nAnswer: -69*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (357\/3)\/(6 - 5). Suppose -2*t + f + 3*f = 0, 0 = -5*f. Suppose -4*m + 2*i - i + c = t, -5*m - i + 151 = 0. Does 15 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*n, -c - 5*n = -3*c + 35. Is ((-16455)\/c)\/(1\/(-2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.4451 from -0.074.\nAnswer: 2.3711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 12*v - 5. Let z(c) = 1. Let q(p) = x(p) + 4*z(p). What is q(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = g - 294 - 66, 3*l = 2*g + 561. Calculate the greatest common divisor of l and 2501.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 990 and 198?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of 1\/6*f**3 + 0*f**4 + 0 + 0*f**2 + 3*f - 1\/20*f**5. Factor r(n).\nAnswer: -n*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*k = -37*k + 91*k - 749 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12465 and 7479?\nAnswer: 37395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 49646393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5684.7109655269877 + -481234229.7109649069877. Let f = q + 481228540. Let y = 5 + f. What is y rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35737 and 2652.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 7. Let i be (-1 + -43)*m\/(-4). Let k be 4\/(-6)*6\/i. Is 0 >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 5*x = 0, 0*x - x + 12 = 5*q. Let y = -2 + q. Suppose z + y = 3. What is the greatest common divisor of 15 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 64065*b**3 + b**2 - b. Let l be x(1). Is ((-10)\/2)\/((-75)\/l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.017939 rounded to three dps?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of -b**4\/6 + 2*b. Let o(g) be the second derivative of 0*g**2 + g - 1\/3*g**3 + 0. Determine o(t(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3393873, 3393874, 3393875, 3393876?\n\"Answer: c + 3393872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1348, 1349, 1350?\nAnswer: 1351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.185266 nanometers to centimeters.\nAnswer: 0.0000000185266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 259560178 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3942859 millilitres to litres.\nAnswer: 0.0003942859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/2 (b) -1.8734 (c) 5 (d) -0.4 (e) -0.063\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 344620?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x**2 - 6 - 4*x**2 + 13*x - 1. What is the tens digit of y(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (148 - 112 + 9*c - 74)*(3 + c**2 - 3) to the form y + s*c**2 + o*c + q*c**3 and give s.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 336571 is divided by 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -59785*c**3 + 8*c**2 + 59785*c**3 - 3283*c**4 - c - 6 - 537*c**4 wrt c?\nAnswer: -91680*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttc when three letters picked without replacement from {t: 3, c: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 193 divide 147348166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.87 + 0.13. What is the second biggest value in 3\/5, -0.4, h?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(3 - (7 + -3)). Let l(t) = 0*t**2 - 7*t - 10 + 3 + y*t**2. What is the units digit of l(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2 - 8*d - 8. Let b be a(-1). Let q be b + 1 - (-17 - -2). What is the units digit of (-12)\/q + 412\/18*3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.575287 to two decimal places.\nAnswer: 0.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -757 - -753. Put -0.1, z, -0.5, 1\/7 in ascending order.\nAnswer: z, -0.5, -0.1, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 757146336?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence af when two letters picked without replacement from fbaafffbfbnbfeaqa.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -100125 + 3?\nAnswer: -100122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 158\/45 - 647\/180. Which is the third biggest value? (a) -0.4 (b) -1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5056195 (base 12) to base 9\nAnswer: 31268715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.8 - -9. Let h = c - 2. Let y = -31 + 32. Sort y, h, -4\/3 in descending order.\nAnswer: y, h, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -432*h - 325*h - 3292*h + 411*h - 2071*h to the form y*h + q and give y.\nAnswer: -5709","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5379, 21488, 48335, 85920, 134243, 193304?\n\"Answer: 5369*s**2 + 2*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4124.1 rounded to the nearest 100?\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 149571844 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 19.0250704\nAnswer: 1.90250704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2728 - -4225. Suppose u*g = 1499*g - 444. What is the greatest common divisor of g and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 25494208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 9:24 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20852661 to the nearest integer?\nAnswer: 4566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, u: 3, x: 9, t: 5}. What is prob of sequence kx?\nAnswer: 27\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -140*v - 135. Let p be j(-1). Let w be ((-1)\/8)\/(1\/3). Let k = w - 33\/40. Sort 0.4, 2, p, k in decreasing order.\nAnswer: p, 2, 0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121 is divided by 118.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 173 + -169. Suppose 2*r = -3*r + o*u + 317, 132 = 2*r + u. Calculate the greatest common divisor of r and 585.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-24)\/(-14))\/(32\/112). Let n(w) = w**3 - w**2 + 4. Let y be n(0). Let d = x - y. Which is the smallest value? (a) d (b) -2\/13 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 245 = 4*h, -3*p = -4*p - h + 245. Let l be 126\/24 - (-2 + (-9)\/(-4)). What is the greatest common divisor of l and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -10*b**2 + 198*b + 27. What is h(20)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3892494*b**4*u**3 + 7*b**4 - 6979*b**2*u**3 + 1944*b*u**3 wrt b.\nAnswer: -93419856*b*u**3 + 168*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -b**5\/20 - b**4\/12 + b**3\/2 - b**2 - 6*b. Let j be p(-3). Let v = j + -4. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w = 3*n + 5*w - 16, 3*w - 16 = -5*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 471974361?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3527842, 29, -3?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47.27 - 47. Let t = -0.09 + w. Let n = t + -0.17999942. Round n to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -6*f**2. Let l(h) = -519708*h**2 + 9146. Let m(u) = 682*u**2 - 12. Let q(w) = -6*l(w) - 4573*m(w). Calculate q(n(a)).\nAnswer: -19368*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hr when two letters picked without replacement from {h: 4, g: 3, c: 2, u: 4, r: 1}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*j - 28 = -84*j, 3*j - 7*j = -3*n + 16 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 4*i - 24, 3*c - 2*i + 4*i = -13. Let f = -22 + 27. Sort -1, f, c in decreasing order.\nAnswer: f, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3546 is divided by 595.\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 105028326?\nAnswer: 105028327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 797, -737, -4897, -12997, -26351, -46273?\n\"Answer: -219*w**3 + w**2 - 4*w + 1019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 149\/6 - 25. Let v = y - 1\/12. Which is the smallest value? (a) v (b) 4\/3 (c) 3 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 + -5 - 1) + -2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -87752 (base 9) to base 13\nAnswer: -20654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 24715757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*m - 31*m + 18*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3 = -2*t + 5, 0 = 3*x + t - 8. Let y = x + -4. Suppose y = -i + 1778106 + 9021894. Round i to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from req. What is prob of picking 1 r and 1 e?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20 or 27?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32.159 + 32.319. Which is the biggest value? (a) u (b) 0.1 (c) 0.7 (d) 1.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 e when four letters picked without replacement from aeeeeeeaeeeeeeeeee.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 53 + -3 - 12\/4. Let z = a - 32. Let c = -14 + z. Which is greater: c or 2\/11?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3425592148 to the nearest integer?\nAnswer: 58529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 + 1. Suppose -6 = -5*l + 44. Let q = l - 9. Let r(y) = -4*y**2 + 2*y. Calculate q*r(a) - 2*g(a).\nAnswer: -2*a**2 + 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = 56*o - 57*o + 2, 5*o + c - 14 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 + 22?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**4 - 31857*i**3\/4 - 39861*i**2\/4 + 27885*i\/2 + 3984 = 0 for i.\nAnswer: -2, -1\/4, 1, 2656","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2652 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x + 13624*x**2 - 6*x + 8*x**3 + 3*x - 20*x**3.\nAnswer: -12*x**3 + 13624*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v + 24. Let s be w(-13). Suppose 8*d - 3*d = -12140. Is 29 a factor of d\/(-28) + s\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 10704.\nAnswer: -3\/3568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.5 (b) -2\/47 (c) 1 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b - 4*b - 5*b + 2*b. Suppose -2*c - 3 = -51. What is the smallest common multiple of c and j(-2)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/d**17))\/(d\/d**(1\/26)) assuming d is positive.\nAnswer: d**(417\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 8:07 AM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*g - 19*g - 26*g - 29*g.\nAnswer: -83*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s + 2*s - 3*s + 0*s + 1 + s**2. Calculate v(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from npnppeppunuunnnaevnu. What is prob of sequence env?\nAnswer: 7\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1768)\/(-14) + 22\/(-77). Suppose 0 = -2*r - 6 + m. Calculate the highest common divisor of 24 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.02761 to one decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 475 and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 1074 = -330. Let a = 997 - 1159. Let g = a + b. What are the prime factors of g?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -22*x - 169. Let t be (-20)\/10*-8*3\/(-6). Let j be s(t). What is the greatest common factor of 259 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1037951?\nAnswer: 19, 54629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -8*z**3\/3 + 15*z**2 + 873. Let x(v) = -v**2. Calculate x(h(y)).\nAnswer: -64*y**4 + 480*y**3 - 900*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(425)*5.\nAnswer: 100*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/9612 and -31\/108.\nAnswer: 9612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/396 and 45\/38.\nAnswer: 7524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 3*w = 20. Suppose s + 5*p - 12 = 16, -5*s = -3*p. Suppose s*j - 4*j = -w. Solve 0 = -j*c + z - 8, 3*c + 4*z - 20 = -7 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/(-200)*2\/(-3).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -15402.75 to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffrfffffrffr. What is prob of sequence rr?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/(-810))\/(70\/(-63))\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -2030.5.\nAnswer: 2031.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 21*l**2 + 392*l + 141. Give y(33).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-23)*j*j\/j**(2\/25))\/((j\/(j*j**(-4))*j)\/j**(-13)) assuming j is positive.\nAnswer: j**(-977\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - 2 - 0)*10. What is the greatest common factor of q and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/21)\/(n\/(n**(-9)\/n))*(((n*n**(-14)*n*n*n)\/n)\/n)\/(n\/n**20))**(12\/13) assuming n is positive.\nAnswer: n**(-344\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 14*q - 20. Put 4, -3, 2, q in decreasing order.\nAnswer: 4, 2, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38 + -65 + -70 - -8\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 250\/625 + (-11)\/5*2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*d + m, -2*d + 4*m - 2 = -6. Let x = 15 - 10. Let t be 0 + x*(-6)\/(-45). Is d less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((12\/(-28))\/(2\/(-21)))\/(441\/2748900*187)?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h. Let b(y) = -5*y**2 + 18*y**2 + 5*y**2. Calculate k(b(l)).\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 73 + -60. Let j(v) = 4*v**2 - 9*v - 19. Let b(z) = -2*z**2 + 4*z + 9. Give u*b(i) + 6*j(i).\nAnswer: -2*i**2 - 2*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a - 8. Let r be z(8). Suppose -2*g = 5*q + 34, -51 = 2*g - 2*q - 3. Let d = g + 26. Solve r*f + d = f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34919034 divided by -11639678?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 30443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-1 + 7 + -13 + 10)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 58812 and 2106.\nAnswer: 1587924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y\/(y**(-1\/42)*y)))\/(y**(-16)\/y) assuming y is positive.\nAnswer: y**(797\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 + 163200*i + 18834125.\nAnswer: -5*(i - 32755)*(i + 115)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 51081 = -3*u, 12*i - u = 15*i + 30643. Which is bigger: -10211 or i?\nAnswer: -10211","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -7*v**2 + 5*v - 5. Let f(d) = d**3 + 3*d**2 - 27*d - 85. Let u be f(-3). Let y(b) = -20*b**2 + 14*b - 14. What is u*y(t) + 11*q(t)?\nAnswer: 3*t**2 - t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5260 + -2?\nAnswer: 5258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -359277 by 6.\nAnswer: -119759\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30127?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48*137.6.\nAnswer: -6604.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44963, -45148, -45417, -45764, -46183?\nAnswer: -46668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3*c + 0 = -61, -n + 5*c + 11 = 0. Calculate the remainder when 223 is divided by n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(1\/2)\/k*k)*k\/(k*k**(-1))*k)**(2\/63) assuming k is positive.\nAnswer: k**(5\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -7*i**2\/2 - 56*i + 84. Calculate the remainder when s(-13) is divided by 27.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 116*m - 541 = 875 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u\/(u*u**(-17)*u)*u*u*u*u**(-1\/9) assuming u is positive.\nAnswer: u**(179\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/37215813 and 89\/24.\nAnswer: 297726504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 66 + -29. What is the remainder when s is divided by 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.254 or -299814?\nAnswer: 1.254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -65*x - 30. Let d be u(-21). What is the second derivative of a**3 + 1341*a + 42*a**2 - d*a - 3*a**3 wrt a?\nAnswer: -12*a + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a - a - 9*a + 6*a - 2*a.\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*i + 2*s, -i - 1 - 8 = -3*s. Let a(y) = -3*y + 2. Is 4 a factor of a(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 8 + 6 - 1 - 556376*o**2 + 556374*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3340\/(-229625)*225\/18?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 0 = 2*s. Let u(h) be the third derivative of -7*h**4\/8 - h**3\/6 + 5*h**2. Give u(s).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 0.16, 1\/7, -2, 1?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3\/3 - 364*u**2\/3 + 764*u - 1164.\nAnswer: -4*(u - 3)**2*(u + 97)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16944 is divided by 5640?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -20 and 3.54.\nAnswer: -70.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8\/7 (b) -38 (c) -3\/8 (d) -0.3 (e) -9\/16 (f) 0 (g) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1022979*g**2 + 11329046 with respect to g.\nAnswer: 2045958*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(14) + sqrt(56)))\/(sqrt(7) - sqrt(140)\/sqrt(5))*-6 + 0)**2.\nAnswer: 5832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -14*21\/63*(-12)\/4\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) 2\/3 (b) -2\/5 (c) 13 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62818 is divided by 1028?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -19*m. Let i(h) be the second derivative of -37*h**3\/6 - h**2\/2 + 8*h + 9. What is -2*i(d) + 5*k(d)?\nAnswer: -21*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ajjjtssawswts. What is prob of sequence ta?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkcckkkckkk. What is prob of sequence ckc?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2781, -3446, -4109, -4770, -5429, -6086, -6741?\n\"Answer: s**2 - 668*s - 2114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117108.\nAnswer: 2, 3, 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18726 and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 675 = 12*k. What is the third derivative of f**5 - 919*f**3 + 14*f**4 + k*f**2 + 919*f**3 wrt f?\nAnswer: 60*f**2 + 336*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**3 - 5*j**2 - 2*j. Let o be w(-2). Suppose 2*x + 4 = 3*v, o*x - x - 2*v = -5. Solve -2*m = x - 5 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23596 (base 10) to base 14\nAnswer: -8856","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -292 - 2041 = -23*w + 5*z, 0 = 5*w + z - 503 for w.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m*m**(1\/4)*m)**(-6)*m\/m**1*m\/(m\/m**(-2\/7)))\/(m*m\/m**(-3)*m**9)**(24\/7) assuming m is positive.\nAnswer: m**(-1033\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104560 is divided by 2017.\nAnswer: 1693","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 4:20 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -120?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*f**2 - 60 + 736 - 44*f**2.\nAnswer: -2*f**2 + 676","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 80 - 76.3. Let m = v - 4.7. Which is the nearest to m? (a) -1\/5 (b) 0.4 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156)\/(sqrt(525)\/sqrt(7))*3)\/((6*sqrt(100) - 6*1*sqrt(4))*-6))**2.\nAnswer: 13\/57600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n + 1. Let j be f(0). Let p = 3 + j. Suppose 0 = p*k + k - 55. Solve k*o - 6*o - 20 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -1.01.\nAnswer: 0.505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.6 + 0.6. What is the nearest to d in 1\/2, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-793)\/143)\/(-1) + (-6)\/11. Suppose 3*u + n = -0*u + 40, 4*u = -4*n + 56. Suppose 4*i - 3*i - b = 5, 2*i - u = m*b. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 + 76*t**3 + 37.\nAnswer: 76*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/3 (b) -11 (c) -4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**4 + 4*m**4 - 11*m**4)*(-2*m + 0 + 0)*(-3 - 1 + 2).\nAnswer: -36*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33\/13 + 152\/65. Let m = -68 + 56. Which is the second biggest value? (a) 2\/7 (b) y (c) 0.4 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -59*d + 60*d + 0*d**2 + d**2 in the form a*d**2 + z + b*d and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-60)\/24)\/((-2)\/36). Let d(j) = -4*j**3 - j + 3*j**3 + c + 22 - 11. What is the tens digit of d(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3295.387m?\nAnswer: 329538.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 9, e: 7}. Give prob of sequence eee.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of r**4\/4 + 4*r**3\/3 - 3*r**2 - 3*r + 2. Let a be (-8 - 150\/(-18))\/((-1)\/15). Let t be n(a). Which is smaller: 4 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/6*(-76)\/(-57) + 40. Solve r = -5*l + 28 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.76 * -45.43954.\nAnswer: 125.4131304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/2 + 122076818*j - 7451374746502562.\nAnswer: -(j - 122076818)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20420?\nAnswer: 2, 5, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -921ee2?\nAnswer: 921ede","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 62 + -5907a76?\nAnswer: -5907a14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 27\/2 + 7*z**4 - 89\/2*z**2 + 3*z**3 - 105\/4*z - 3\/4*z**5 = 0?\nAnswer: -2, -1, 1\/3, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -41, -710, 1 in decreasing order.\nAnswer: 1, -3, -41, -710","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 179 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of z**5\/60 - z**4\/24 + 13*z**3\/3 - 4*z**2 - 1. What is the lowest common multiple of m(6) and 72?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**5\/3 - 6*r**4 + 2*r**3\/3 + 6*r**2 = 0.\nAnswer: -9, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 9 = k, 7 = 5*r - k - 4. Let q(z) = 23*z**2. What is the remainder when q(1) is divided by -4*(-5 + r + 0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 3 + 6 - l**2 - 2 to w*l + r*l**2 + g and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - d**2 + d. Let w(o) = 6*o**3 - 14*o**2 + 4*o - 2. What is 3*g(x) - w(x)?\nAnswer: -3*x**3 + 11*x**2 - x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 1319 divide 876453686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 13 = -4*d, -4*l = 15*d - 14*d - 11 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1429, 6, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, 6, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25 + 1572\/(-60))\/(0 - (-3 + 0)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2a + 2f8319?\nAnswer: 2f8343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1614855558 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(3630)*-1 - sqrt(3630)) + (sqrt(270) + sqrt(270)*-1 + sqrt(270) + sqrt(270) - sqrt(30)) + sqrt(30))*6)\/(5*(-2*sqrt(6)*4 - -1*sqrt(24)\/sqrt(4))).\nAnswer: 96*sqrt(5)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 s when three letters picked without replacement from cbbccbcssbccb.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (788\/(-591))\/(4\/57).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1309300 rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 3, -25\/2, -138?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yizllhhhlilii. Give prob of picking 2 i.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 906 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + (9\/(-3) - -6). Suppose 3*t = -r*t + 3. Let w be t\/((-4)\/58*(-3)\/6). What is the highest common factor of 29 and w?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -b**3\/6 - b. Let x(h) be the second derivative of 0*h**2 + 11*h + 0 - 5\/6*h**3. Calculate x(y(q)).\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 378\/49 + 4\/14. Suppose -v*b + 0*b = -72. List the prime factors of (-2388)\/(-54) + (-2)\/b.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 936311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001557486 rounded to five dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**2 - 2*y - 14. Let c(o) = -o**3 + 5*o**2 + 2*o - 1. Let i be c(5). Does 13 divide m(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 1 + -16 + 52 + -23\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - (-1 - -16)) + 7 + -6 + -16 + 9.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of x**4\/4 + 2*x**3 + 5*x**2\/2 + 12*x + 304. Determine r(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29244*m + 23 + 58442*m - 29200*m.\nAnswer: -2*m + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 15123.8 to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1264*w + 1259*w - 3*p = 15, -2*p - 10 = -4*w. Put 4, -5, -1, -2, w in decreasing order.\nAnswer: 4, w, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-2 + 0)) + (-7 - -8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 100*t - 75. List the prime factors of x(6).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-56)*(-195552)\/(-2619)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 100200210 (base 3) to base 2\nAnswer: 1101110011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 236 - 77?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 16 = 5*j, 3*j - 10 = -y - 1. Suppose -3*g + 12 = 0, 0*p - 5*g + 24 = 4*p. What is the least common multiple of (4*2)\/(1\/p) and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.081029*66.\nAnswer: -5.347914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4\/9 - 406*r**3\/9 - 40801*r**2\/9 + 27608*r\/3 - 4624.\nAnswer: -(r - 1)**2*(r + 204)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 66 - 67. Sort 1, -6, y, -3.\nAnswer: -6, -3, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 10, -v + 2*p = 4*p + 36. Let z be ((-4)\/6)\/(v\/351) - 3. Let r(m) = -1 - 3 + 8*m - 1. Let q(x) = 17*x - 11. Calculate z*q(a) - 13*r(a).\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 327252.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002252883 rounded to 7 decimal places?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1807811913 to the power of 1\/2, to the nearest integer?\nAnswer: 42518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r - 1889. Let h(t) = -93*t**2. Determine g(h(b)).\nAnswer: 186*b**2 - 1889","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -0.12, 0.0139025 in increasing order.\nAnswer: -5, -0.12, 0.0139025, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 7*a + 16 = 0. Calculate the smallest common multiple of (-66)\/297 + 182\/9 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1757?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -32, -131, -300, -533, -824, -1167?\n\"Answer: g**3 - 41*g**2 + 17*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v - 4*q - 14, -29*q + 31*q = 2*v - 20 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 5:50 PM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368646 is divided by 366112.\nAnswer: 2534","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/16*(1 + 9) - 2. Let b(j) = -2*j**3 + 7*j**2 - 5*j + 6. Let m be b(h). Suppose m = -5*p - 2*s + 300, 285 = -2*p + 7*p - s. Does 20 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + 1720*i + 351478. Determine u(-237).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2 - 2*d + 3.\nAnswer: -(d - 1)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of 983*b**5\/20 - 491*b**4\/2 - 2*b**3 + 88*b**2 + 10*b. Find h such that n(h) = 0.\nAnswer: -2\/983, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k + 22 = -p, -5*k + 3*p + 271 = 253 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 757 - 690. Suppose -54*f + a*f - 975 = 0. What is the greatest common factor of f and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 22 (c) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 8754812, 0, -2, 3 in decreasing order.\nAnswer: 8754812, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 85*((-6)\/(-10))\/(-3)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ct when two letters picked without replacement from eefzfzetzdceftfffeff.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2096 - -4626. Suppose 2*f - 12*f + y = 0. Suppose -u - f - 66 = -4*a, 5*a - 410 = 5*u. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 304430 + -342?\nAnswer: 304033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8164307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3984870.2 times -4?\nAnswer: -15939480.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19030058*w*z**3 + 3*w + 1346*z**3 + 1829*z**2 - 2*z with respect to w.\nAnswer: -19030058*z**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/4)\/(2\/(-8)). Suppose 0 = -x*d + d + 7. Does 4 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2642502743 a multiple of 12338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 41 = 40. What is the highest common factor of 3 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 3*p. Let y(k) = 3*k**2 - 7*k + 1. Let r(g) = 5*q(g) - 2*y(g). Let c(o) be the first derivative of r(o). Let z be 1 - 0 - (-1 + 0). Give c(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -5 (b) -0.1 (c) -693\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 145 - 71. Let g = o + -73.7. Let u = -4.7 + -0.3. Which is the third smallest value? (a) g (b) u (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, n: 5, i: 5, c: 2}. Give prob of sequence nhh.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 b when four letters picked without replacement from {k: 8, v: 3, j: 1, w: 2, u: 2, b: 1}.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9754843.0513 and 84.\nAnswer: -9754759.0513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 116 + -96. What is the highest common divisor of n and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a**3 - 2*a**2 + 2*a + 1. Is w(3) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 6 (c) -2 (d) 2\/11147\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164*z - 166*z + 9385693 - 9385693.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1 + (sqrt(325) + 0)*-5).\nAnswer: 3 + 75*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*n**2 + 3*n**2 - 16*n**2 + 2550*n**5 - 2024*n**5 + 13*n wrt n.\nAnswer: 31560*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -71*m + 66*m - 5. Let u be (3 - 6) + (-3)\/((-9)\/(-12)). Which is the nearest to u? (a) m (b) 2\/3 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**3 + 0 + 1 - 2 - 1 + 1 - 21*u**4 - u to the form i*u**4 + q + l*u**3 + r*u + w*u**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(7056\/(-12495)))\/(1\/(-4))\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/4)\/((-1)\/(-5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 482.\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 442 bigger than 155657\/352?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 192290 = 4*g, -5*g = -10*g + 5*m + 240370. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 - -0.3. Let z = 373 - 372.975. Let u = z - 3.025. What is the third smallest value in u, x, -6?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (11\/((-66)\/(-136)))\/(2\/(-6)). Let v be (-24)\/(-14)*(-2618)\/j. Which is the third biggest value? (a) v (b) 2 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-13)\/b)\/b)**(-3\/10) assuming b is positive.\nAnswer: b**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -21*t - 2. Let i be b(6). Let o be -4 + -5 + 15\/1 + -8. Is o\/16 + (-2832)\/i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9697861\/275 + -35265. Calculate the common denominator of -19\/675 and b.\nAnswer: 7425","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - k - 117, -3*z - 3*k + 97 = -z. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*h + 16*h - 12*h = 117 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5464758881.\nAnswer: 829, 6591989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 5*g - 8 - 2, -6 = -4*x - 3*g. Which is the closest to x? (a) 0.03 (b) 3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.822 rounded to 0 dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**23\/b**(-13\/5) assuming b is positive.\nAnswer: b**(128\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + u + 10 = 0. What is the remainder when 17 is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -89*f**2 + 177*f**2 - 79*f**2 + 6 + 11 wrt f.\nAnswer: 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -479586 divided by 2386\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**2 - 4*w**2 + 3*w**2 - w**2 + 4 - 4 + (0 - 1 + 2)*(-2*w + 2*w - 2*w**2) + (3*w - 2*w - 3*w)*(0*w + 3*w - w) - 5*w**2 + 5*w**2 - w**2.\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (50\/(-12) - (-1)\/6). Solve u - 13 = 3*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/14 + -2 + 228\/21. What is the tens digit of (-3 - -81) + (-3)\/h*3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2873143 and 637.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/4 + 3 + -43. What is the least common multiple of 20 and (-2)\/12 - 595\/i?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1460817 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 777\/2 + -416. Calculate the common denominator of 4\/(-5) - 15855\/3150 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 + -17508299?\nAnswer: -17508349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 13*n**2 + 26*n - 101. Let m be q(15). Suppose 25*c + 264 = m. Let p = -135 + 246. Calculate the remainder when p is divided by c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18355394 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 11*s + 11 = 0. Let i be (s\/2)\/((-4155)\/830 - -5). Let h = i + 259. Calculate the highest common divisor of h and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 2229837815\nAnswer: 2229837811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10490 + 10484. Let k(o) = -2*o**2 - o**2 - 7*o - 4*o**2 - o**3 - 9. What is k(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine sixths of a hour in minutes?\nAnswer: 290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -711045.\nAnswer: -7\/711045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-9)\/6)\/(2\/(-4)) and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*k + 17*k + 9478. Calculate the remainder when k is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 9*z**2 - 16*z - 9. Let w(a) = -a**3 + 12*a**2 + 12*a + 13. Let u be w(13). Let j be 7*1*(-1 + u). What is the units digit of m(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/(-15))\/(8\/(-20)). Solve -9 + 24 = -3*o, d*i - 31 = 5*o for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -7*p + 5. What is the remainder when (-13 + 16)*101\/3 is divided by i(-3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - 7*n. Let h(o) be the second derivative of -2*o**3\/3 + o. Let m(s) = -2*d(s) + 5*h(s). What is the second derivative of m(y) wrt y?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25202.\nAnswer: 2, 12601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -182 divided by 395.\nAnswer: -182\/395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(2\/7)\/a)\/a**(3\/8))\/(a**0*a**(3\/8)))\/((a**(-2\/7))**(5\/11)*(a**(-1\/4)*a)**18) assuming a is positive.\nAnswer: a**(-4569\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -87172783 + 87172752.9999982. Let x = 166.8 - 196.8. Let j = z - x. Round j to seven decimal places.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6320885 or -6320878?\nAnswer: -6320885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9247 + 404*z - 7*z**2 + 15993 + 4772 wrt z?\nAnswer: -14*z + 404","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 88264664*z**2 + 54115646*z wrt z.\nAnswer: 176529328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -134502645 + 0?\nAnswer: -134502645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 22 = c. Calculate the common denominator of c\/(-6) + (-1)\/30*257 and 131\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 36\/126 - (-1286)\/7. Solve -r = -j - 179 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(4\/3)*o\/(o\/o**(4\/7)))\/((o*o*o**7)\/o**1) assuming o is positive.\nAnswer: o**(-128\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2182, -2184, -2186?\n\"Answer: -2*p - 2180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16ec (base 16) to base 9.\nAnswer: -8040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2 = -1. Let a be (8\/4 - 3) + -1. Let l(f) = -f**3 + 4*f**2 - 2*f - 2. Let n be l(2). Put r, a, n in descending order.\nAnswer: n, a, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -13, -2, -3, -8283, -4.\nAnswer: -8283, -13, -4, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 246, 234, 194, 108, -42, -274, -606, -1056?\nAnswer: -1642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 539, -5, 3, -4, 4 in descending order.\nAnswer: 539, 4, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*u + 3*u + 24*u + (5 - 1 + 3)*(3*u - u - u) + 0*u + 4*u - 2*u.\nAnswer: 54*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**2\/4 + 4623*x\/2 - 21156833\/4 = 0. What is x?\nAnswer: 4159, 5087","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 5*z**2 + 3*z + 6. Let a be k(-5). Let o = 3 - a. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -7. Suppose -f*a + 7 = -5*w, -w + 17 = 3*a + 4. Solve 0*o + x + a = -o, x + 4 = 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1256 - -0.0126. What is the biggest value in r, -0.4, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -394*x + 371*x + 92 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.2 + 0.2. Let v = -9 - -8.81. Let f = 0.31 - v. What is the nearest to -1 in f, w, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -57*a**2 - 453*a + 538. Calculate u(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-32 - -44)) + (0 - -7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33*4\/60)\/((-26)\/(-130)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5963291432.\nAnswer: 2, 7, 2213, 48119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/16 + -19\/48. Let n = -23 - -4. Let r = n + 17. Which is the closest to 2? (a) r (b) 4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.11633687 to three decimal places.\nAnswer: 0.116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -194593 rounded to the nearest 1000?\nAnswer: -195000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**3 - 12 + 12 + 5*n**3.\nAnswer: 7*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3\/4)*b**(-24)*b*(b**(-11)*b)**(-4\/5))**(-37) assuming b is positive.\nAnswer: b**(2331\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -121805.3745 and 1186.\nAnswer: -120619.3745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -7, 2\/5340377?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29649 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 482943147683 - 0.08.\nAnswer: 482943147682.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -2101?\nAnswer: -2033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -72*y**3 + 12*y**2 - 37*y - 93. Is m(-20) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1331 + -1329. Solve -k*z = -30 + 32 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -0.25. Let a = g - -0.05. Let i = 14 + -13. Put 5, a, i in increasing order.\nAnswer: a, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27659 is divided by 36?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m**3 - 3*m**2 - 15*m. Let g(d) = d. Let v be (-4)\/10 + (-730)\/50. Let q(t) = v*g(t) - r(t). Solve q(n) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 378 - 376. Suppose -2*p = 5*u - 25, -j*u + 58*p - 57*p = -1. Sort -2, -10, u, -1 in decreasing order.\nAnswer: u, -1, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 12*p**2 - p - 108. Let b be k(11). Sort 46, 0.5, -0.5, b.\nAnswer: -0.5, 0.5, b, 46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/87 - -614\/435. Which is the second biggest value? (a) -2 (b) y (c) -0.2 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 10\/(-65) + (-18)\/351*(-927132)\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -86.137 + 0.137. Let u = -86.2 - o. Let t = -2.01 - -0.01. Which is the third biggest value? (a) 6 (b) t (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30518 and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n + 4. Let a be f(-8). Let t = a - -11. Is t <= 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/3 + 3268*p - 3635348\/3.\nAnswer: -(p - 9418)*(p - 386)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2211 and 491997?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 5, -7, -4.7?\nAnswer: -4.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6146, -2, -1 in descending order.\nAnswer: 6146, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1441*g - 272 = -3*y - 1442*g, 5*y + 5*g = 460. Factor -168*j + 392\/5*j**2 + y.\nAnswer: 2*(14*j - 15)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*m**3 - m + 4*m - m - 1 + 3 to u*m + k + q*m**3 + d*m**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3856177*k**3 - 680644*k.\nAnswer: 23137062*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -186?\nAnswer: -372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -233 + 359. Suppose 28*m = 19*m + y. Solve 0 = -4*l + m + 2 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2 - 1476*j + 93280.\nAnswer: -4*(j - 55)*(j + 424)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3*m = 100. Let k(j) = 5*j**2 - 38*j - 11. Let q be k(8). Solve q*d + m = -0*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 103190?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.284 + 0.26. Let x = z + 6.924. Let h = x + -12.8. Round h to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 1, -4, 2 in descending order.\nAnswer: 12, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 4, -0.06, 2, -22, -0.028?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 4*h - 368*h**2 + 894*h**2 - 367*h**2 as y*h**2 + o + c*h and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from efkfffe. What is prob of sequence ff?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4106251 + -4106342.99914. Let g = 6 + 86. Let r = g + j. Round r to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(10) - sqrt(40)*5)\/(2*(sqrt(2) - (sqrt(2)*1 + sqrt(2)))))**2*-6.\nAnswer: -6075\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 598 = -3*l - 0*l, 2*l - 448 = 3*u. Let d = u + 152. Solve 0*k - 2\/7*k**5 + 0 + 1\/7*k**2 - 1\/7*k**d + 2\/7*k**3 = 0.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 6 = -0 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of -v**5\/20 - v**4\/3 + 5*v**3\/6 + 7*v**2\/2 - 43*v + 2. Determine g(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/7, 2\/3, -8468?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h + h**2 - h**2 + 24333*h**3 - 45413*h**3 - 2*h + 21084*h**3.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 1197*k + 3. Let c(i) be the second derivative of i**3\/3 + 239*i - 3. Calculate a(c(z)).\nAnswer: 2394*z + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/sqrt(4) + 1 - (-6*sqrt(2)*4 - sqrt(2))**2.\nAnswer: -1249 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 645*p**2 + 6*p. Let t be w(1). Suppose t = 3*n - 3*i, -591 - 482 = -5*n - i. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -238, -480, -710, -922, -1110, -1268, -1390, -1470?\nAnswer: -1502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 945 and 17686485.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 129.354 + 1.246. Let s = -131 + x. What is the biggest value in 0.2, -10, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m**2 + 812*m + 266816 = 0.\nAnswer: -176, 379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1667760 to the power of 1\/3, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-5*sqrt(1250) + sqrt(1250))\/((sqrt(80) - 4*sqrt(80) - sqrt(80))\/sqrt(8)).\nAnswer: -1 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 + 21 - 250 = -147*p - 610 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10 from -299.9668946.\nAnswer: -309.9668946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 636 - -394. What is the smallest common multiple of 412 and j?\nAnswer: 2060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 707 + -704. Factor 0 - 4\/5*r**2 + 0*r - 4\/5*r**u.\nAnswer: -4*r**2*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(1100)*-1 - (-2*1*sqrt(1100) + sqrt(1100)))**2.\nAnswer: 9900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3 + 2 + 70*a**3 - 4 - 5*a + 4*a + 0*a. Give f(1).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -772604794.28 - -0.29.\nAnswer: -772604793.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4296 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26892 is divided by 6174?\nAnswer: 2196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 2 + (-8)\/(-8). Let x(v) = -4*v**2 + 3*v**f + 220 + 4*v - 49. List the prime factors of x(0).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*o**2 + 55*o - 4*o**4 + 5*o**3 + 9*o**4 - o**4 - 20 - o**4 + 2*o**4 = 0. Calculate o.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 8*x**2 - 14*x - 158. Let d(n) = -15*n**2 + 29*n + 314. Let i(o) = 3*d(o) + 5*j(o). What is the derivative of i(h) wrt h?\nAnswer: -10*h + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 3*i = -50. Let c(f) = f**3 - 9*f**2 - 5*f - 44. Let a be c(i). Solve -a*p = -3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = -5*j + 33050, 0 = 3*j + 2*w + 454 - 20295. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of 3*y**2\/2 - y + 5. What is the units digit of j(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1503*s - 752*s = 753*s - 272. Solve -20*l + 3*l = s for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -606 + 3?\nAnswer: -603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 19*s. Let j(h) = 4*h. Calculate k(j(m)).\nAnswer: 76*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h**3 - 35*h**2 + 32*h + 68 = 0. Calculate h.\nAnswer: -1, 2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (21*(-5)\/(-30)*-4)\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 5*w + 4, -11*r - 3 = -8*r - w. Is r equal to 1023?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91942791 is divided by 514.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) 4518 (c) 158\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 6*t**2 - 517*t - 1518. What is g(89)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + 3. Suppose 0 = 11*u - 9*u - v. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.3 (b) 20264 (c) -140\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 406 + -290. Let z(m) = -m**3 - 3*m**2 + 4*m + 3. Let v be z(-4). What is the units digit of (v\/2)\/(3\/c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -324*t - 664*t = 282*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 90260*f**3 + 93*f**4 - 90260*f**3 + (f**3 + 0*f + 0*f)*(-5*f + f + 3*f) + 2*f**4 - 6*f**4 + f**4.\nAnswer: 89*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-30)\/(-4))*37\/21164*78?\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b - 1. Let q be v(-7). Let r be 2\/((-10)\/5) + 6. Solve r = -q*a + a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 + (-235)\/45 - (-2)\/9. Sort a, -7, 3 in descending order.\nAnswer: 3, a, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/1946 and 5\/13862748.\nAnswer: 97039236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l - 278*l**2 + 420*l**2 + 1627*l**2 + 958*l**2 to the form x*l + g + o*l**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1272?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wgg when three letters picked without replacement from {w: 3, g: 9}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3816\/159*(-5)\/((-20)\/(-8)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**2 - 60*a - 146. Calculate i(-28).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 27? (a) -49 (b) -0.5 (c) 2\/3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8982 + 2916. Is -6065 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 22.5 and -5507211586?\nAnswer: 5507211608.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 6216046*v. Let w(o) = -o. Calculate w(c(d)).\nAnswer: -6216046*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1*(5*sqrt(171) - sqrt(171)) + 4 + (sqrt(171) - (sqrt(171)*-4 - sqrt(171))))*4.\nAnswer: 32 + 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5063 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 538367739?\nAnswer: 3, 7, 13, 23, 179, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/2 of a centimeter?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 465658.94 * -1.\nAnswer: -465658.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8683?\nAnswer: 19, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -260 take away -0.080146947078?\nAnswer: -259.919853052922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 32328 divided by -2694\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5*(-5*(3 + sqrt(11))*1*-6)**2 + -3).\nAnswer: -450015 - 135000*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 81*o**5\/7 + 4581*o**4\/7 + 63708*o**3\/7 + 247104*o**2\/7 - 132864*o\/7 - 41040\/7 = 0.\nAnswer: -38, -10, -9, -2\/9, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184*x = 117*x. Solve x = -70*t + 69*t + 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, h: 7, z: 3, e: 1}. Give prob of picking 4 a.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 46 (b) 1\/2 (c) -5 (d) 5 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = v + 10*p + 29, -2*p = 10. Is -7 + 92652\/54 + (-2)\/v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*1605.7\nAnswer: 8028.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.423899 millilitres in litres?\nAnswer: 0.001423899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 112819 and 497.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -28, -49, -60, -55, -28?\n\"Answer: j**3 - j**2 - 25*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -99 != -101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 3\/410599?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1580*p - 1578*p - 110 = 0. Suppose 48*r + 728 = p*r. What is the greatest common factor of 8 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 + -20. Let v(f) = 1 - 3*f**2 + f**2 + 4*f**2 - f**3 - 3*f. Let o be v(b). Let p(x) = x**2 + 5*x - 5. Calculate p(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sszzsssszssdzszssdss. What is prob of sequence dzzs?\nAnswer: 13\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 63*i - 482. What is the remainder when g(16) is divided by 107?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**4 + 628716*y**3\/5 + 3646016*y**2\/5 + 4274448*y\/5 - 201152 = 0. Calculate y.\nAnswer: -31430, -4, -2, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -3*i + 9, -44 = -4*x - 4*i - 16. Let n(k) = k + 9. Let r be n(-7). Solve 0 = -2*f + x*m - r, -4*m - 23 = 5*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g*k**5 + 2*g*k**2 - 20*g*k + 2*g + 8*k**5 - k wrt k.\nAnswer: -20*g*k**3 + 4*g + 160*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 169217278*g**2*n - 105*g**2 - 82197*g with respect to n.\nAnswer: 169217278*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -714983 divided by 714983\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (55110\/(-20207))\/(5\/(-66)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/4)\/((-5265)\/7722)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {e: 1, w: 7, g: 2, n: 4}.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -39, 5, 7, -33, 0.2, 501?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2925*f**2 - 971100*f - 38. Give z(-332).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*p - 38. Let v be ((-6)\/p)\/((-1*3)\/(-72)). Suppose 65 = 4*m - q, 4*m - v - 33 = -3*q. Solve 4*k = -k + m, 5*d + 8 = k for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -52 and 785.4.\nAnswer: -40840.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3100165009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.306 take away -10?\nAnswer: 9.694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 288235.89 nanoseconds?\nAnswer: 0.0000048039315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(3\/8))**19\/(v**(-16)\/v*v*(v**(-16)*v)\/v))**(-7) assuming v is positive.\nAnswer: v**(-2191\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2824 divided by -1412.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -127 (base 8) in base 13?\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 5 = -g, 8*g - 5*g - 3*y = 45. Suppose g = q + q. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 - 23*m + 103. Let d be r(-19). Solve -176 = -h - d for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.8 + 3. Let h = 8.8 + n. Let u = 8 - h. Which is smaller: -0.05 or u?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25\/((-86)\/(1290\/(-25)))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -78 + 80. Solve c = -x + 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3*i + 31, -n = -8*i + 3*i + 19. Let k = n + 27. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-3)\/b)\/b)**(-14\/11)*b*b**(5\/6)*b*b*b**(-15))**29 assuming b is positive.\nAnswer: b**(-9193\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -131 and 858.\nAnswer: 727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -192 + 190. Sort 0, j, -2\/117 in increasing order.\nAnswer: j, -2\/117, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 99693 to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 58 - 58.0448. Let v = -0.04479677 - j. What is v rounded to 7 decimal places?\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-165)\/50)\/11 - (-31668)\/(-6760)) + (-8 - -13)\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11*(2 - 6 - -36)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + -13. Let a be (-5 + 1)*(-3)\/4. Suppose -3*o = 4*s - 4, o = 5*o. Sort a, k, s in decreasing order.\nAnswer: k, a, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -152523*v**2. Let a(x) = 15*x + 2. What is a(n(c))?\nAnswer: -2287845*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**4 - 2*l**4 - l**4)*(6 + 9*l - 8*l - 8).\nAnswer: -4*l**5 + 8*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, p: 2, e: 1, r: 2}. What is prob of sequence tep?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one sixth of a day?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/((-225)\/190) - 4. Let n = 13\/2 - 93\/14. Put n, -0.2, m in descending order.\nAnswer: m, n, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5233, 0.0986, 4, 3, -2\/5 in ascending order.\nAnswer: -2\/5, 0.0986, 3, 4, 5233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 18216 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**(-36)*j))\/j**6)\/((j**28\/j)\/(j**(-7\/5)*j)) assuming j is positive.\nAnswer: j**(13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -0*v. Suppose v*n = w - 4*n + 16, -2*w - 2*n = -18. Suppose -3*o + 2*o = 0. Put -2, w, o in descending order.\nAnswer: w, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 269143675?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/11 and 23\/5221678?\nAnswer: 5221678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*q + 107*q + 395 + 389 = 0 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, -769, -2087, -3933, -6307, -9209, -12639?\nAnswer: -16597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16192)\/(-11781))\/16 - (-34)\/(-289)?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1975684778 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, u: 3}. Give prob of sequence eeu.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 57248 to the power of 1\/2, to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 b when two letters picked without replacement from hhdhdiihhddhfbfhfhh.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 7, -4, 2, -3, -6 in decreasing order.\nAnswer: 8, 7, 2, -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 4*u. Let a(c) = -33*c. What is v(a(q))?\nAnswer: -132*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*n, -25*o = -23*o - 4*n + 12 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8 (b) -3 (c) 1\/3 (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/3 (b) -53\/25 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 791570559?\nAnswer: 3, 13, 41, 495041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 1. Let j(k) = -4*k - 1. Calculate -j(i) - 2*q(i).\nAnswer: 4*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1383 (base 10) to base 2\nAnswer: -10101100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 9*k**2 + 12. Let l be h(10). Let w = l - -175. Suppose w + 23 = 5*p. What is the smallest common multiple of 20 and p?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3307, -3306, -3305?\nAnswer: -3304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - 4) + 6 + 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 32 = 2*p + 3*b, 4*b = 16. Factor -p*w**3 + 12*w + 3 + 2*w**3 - 6*w - 3*w**2.\nAnswer: -3*(w - 1)*(w + 1)*(2*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*h**2 + 5*h**2 - 5*h**2.\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 9:45 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*a + 1200 = -397 - 717 for a.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 9*j**2 - 13*j - 7. Let x = 4097 - 4090. Determine t(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 406 = -2*i, -i - k + 574 = 2*i. What is the lowest common multiple of 11 and i?\nAnswer: 2123","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -316, -513, -848, -1327, -1956?\n\"Answer: -k**3 - 63*k**2 - k - 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 21\/(-35) - (-1134)\/210. Factor -9\/5 + n*q - 18\/5*q**2 + 3\/5*q**4 + 0*q**3.\nAnswer: 3*(q - 1)**3*(q + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8 + -12 - 6*-1. Let b(n) = 3*n**r - 19 - 3*n + 8*n - 3*n - 1269*n**3 + 3. Let q be b(6). What is q rounded to the nearest ten thousand?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - ((-3 - 0) + 0)) + -5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/8*(1197 - 1201).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -59*t - 23. Let d(w) = -10*w - 4. Let p(y) = -6*c(y) + 34*d(y). What is the units digit of p(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-33)\/f)**35 assuming f is positive.\nAnswer: f**(-1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 272105059?\nAnswer: 2243, 121313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 9:16 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 86 and 9675.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 397*c + 5083. Let w be t(-15). Is 0.1 greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 8 = 3*q, -2*q - 5*k = 3*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -243*b + 734. Give p(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -382364 divided by 95591\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-10))\/((-2)\/(-10)). Factor a**2 - 2*a**2 + t + 0*a + a + 1.\nAnswer: -(a - 2)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -17\/2 (c) 0.2 (d) 663.5 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13*(8 + -7)*14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 - 3)*(-5 + 5 - 3)*(-2 - a**2 + 2)*(5 + 1 - 4)*(3 - 1 + 0) to h*a**2 + j*a + n and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 275210\/29 - (-6 + 0). Let q = d - 2693. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sq when two letters picked without replacement from {m: 1, s: 2, u: 1, q: 2, z: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -543, -939, -1401, -1965, -2667, -3543, -4629, -5961?\nAnswer: -7575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 846661, 846656, 846647, 846634, 846617, 846596?\nAnswer: 846571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48 + 143 - 49 + 868*u**3 - 46.\nAnswer: 868*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 5*d**3 + 136*d**2 + 236*d + 6. Let p(z) = 2*z**3 - z**2 + z + 1. Let v(c) = 5*p(c) - r(c). What is the second derivative of v(l) wrt l?\nAnswer: 30*l - 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -8. Let w = 1.9 + x. Is w > -0.05?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 4, -4, -0.4, 10\/9, -7\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((1*sqrt(133))\/sqrt(7)*-5 - ((1 + sqrt(475) - sqrt(475))**2 + 5)).\nAnswer: 6 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 846 and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1507, -6357, -19451, -44911, -86859, -149417, -236707, -352851?\n\"Answer: -687*k**3 - 41*k - 779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1486657 or 1486672?\nAnswer: 1486672","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147966 is divided by 7397.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135729.\nAnswer: 3, 11, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -600*5*18200\/7. Round p to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (72\/6)\/24*(-20)\/(-8).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 45248 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 2*g**2 - 15*g + 9. Let r be y(0). Let w = -27 - -29. Solve 0 = -w*o + 2*n - 12, -2*n + r = 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6*-4*1\/(-1). Let m = q + -14. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 5 - 1 - 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -216943, -867922, -1952889, -3471844, -5424787, -7811718, -10632637?\n\"Answer: -216994*p**2 + 3*p + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, -4, 2.058, -2, 0.07?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12819000 rounded to the nearest 100000?\nAnswer: 12800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8, 6, 30, 70, 132?\n\"Answer: g**3 - g**2 + 10*g - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (8\/1)\/56*-56*15\/480\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of -57*l**5\/20 - 13*l**3\/2 + 9*l + 19. Let i(a) be the first derivative of b(a). Find the second derivative of i(m) wrt m.\nAnswer: -342*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + -2*(-56)\/7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y - 1903 = y. What is the remainder when y is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 287 (base 16) in base 15?\nAnswer: 2d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 1. Let b(l) = 8*l**2 - 6. Let h(u) = b(u) - 6*r(u). Let i(g) = 5*g. Give h(i(t)).\nAnswer: 50*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 - (0 + -6 + 3). Which is smaller: f or -4\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1665, -3225, -4689, -6057, -7329, -8505, -9585?\n\"Answer: 48*x**2 - 1704*x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14731?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31 - -2342?\nAnswer: 2311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 306, 274, 224, 156, 70, -34?\nAnswer: -156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2189 + -1824. Solve -g + a = 371 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(2 - 4 - -1). Let o be 1 - (-241)\/(r - -2). What is the highest common divisor of o and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*z + 20 - 22 - 102 = 0 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 143*k**3*r**3 + 2*k**2*r**3 + 14*k**2*r - 3*k*r wrt k?\nAnswer: 858*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2*a - 4)*(-5 + 5 - 7*a**3) + (10*a**2 - 3*a**3 - 10*a**2)*(-4*a - 2*a + 4*a).\nAnswer: -8*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 3\/8, 2\/7, -0.1 in decreasing order.\nAnswer: 16, 3\/8, 2\/7, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -50696 divided by 8002?\nAnswer: -25348\/4001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 10969 + 9513 = -t, -v + 20478 = t. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -19*g**4 + 2*g**3 - 13*g. Let f(x) = 78*x**4 - 7*x**3 - 2*x**2 + 51*x. Let s(d) = -3*f(d) - 11*p(d). Find the third derivative of s(n) wrt n.\nAnswer: -600*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*c + 15. Let m be c\/(-4 - -9)*1\/(-5). Let v(h) = h**3 + h**2 + 1. Let u be v(0). What is the biggest value in u, m, -2\/5, 0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lmt when three letters picked without replacement from ncnmpptlc?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2345 - 25.2345. Which is the third biggest value? (a) 5 (b) 3 (c) k (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.2789977 rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/(255\/30)*(3 + 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9374821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 331 times -0.3\nAnswer: -99.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -5*k**3\/12 + 55*k**2\/8 - 30*k - 174. Factor d(l).\nAnswer: -5*(l - 8)*(l - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 2*g**3 - 3*g + 3*g)*(g + 3*g - 2*g).\nAnswer: 4*g**4 + 14*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 180.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 13300\/(-112) - 1\/4. Let d be 102\/m*(-28)\/6. What is the closest to 0.7 in -1, -4, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*401\nAnswer: 802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -86\/14763 and 13\/18981.\nAnswer: 132867","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 87403760?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.052 or -22651?\nAnswer: -22651","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -13*u**4\/4 - 2*u**3\/3 - 2*u**2 + u - 16. What is the units digit of s(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3902 rounded to the nearest 100?\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4028*v**2 + 4*v + 601 wrt v.\nAnswer: 8056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*m + 5*m + 43 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6584\/21 or 314?\nAnswer: 6584\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/4154388 and 227\/606480.\nAnswer: 83087760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 74 and 185.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 - r + 7*r**2 - 8 - 5 - 2*r**3 to the form h + q*r**2 + c*r**3 + i*r and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 188 = -4*k + 6*k, -2*k = 4*y - 180. Let a(p) = -k + 9*p + 92. Let j(f) be the first derivative of -f**3\/3 - 94. Give a(j(z)).\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23912717 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -82*s - 331, -s = 22747*v - 22752*v - 11 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1565 and 30.\nAnswer: 9390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-40)\/350)\/((-12)\/10). Which is the third biggest value? (a) 0.3 (b) k (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*o**2 - 4*o - 14*o**2 + 22*o + 11*o - 5*o**2.\nAnswer: -3*o**2 + 29*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-490)\/(-8) + 4\/(-16). Suppose -4*s = 4*v - 124, 2*s = -2*v + v + 63. Suppose 2*j = 2*m + s, j - m = -3*j + f. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.01 (b) -4\/3 (c) 3\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17884 and 4902256.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 29 - 1?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 9) in base 10?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-15))\/((1008\/(-70))\/(-12))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32923101?\nAnswer: 3, 17, 229, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 198 divide 729541692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r + 1. Let p(m) = -5*m + 12. Let z(l) = 2*l**2 - 8*l - 41. Let y be z(-3). Determine y*p(a) - 6*h(a).\nAnswer: a + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -3.4. Let f = 126 + -98. Suppose -3*w + f = 4*s, 2*w + 8 = 5*w - s. What is the third biggest value in v, w, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 10:42 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21438*g**2*l*y**2 + g**2*l*y + 2*g**2*y**2 + 132356*g*l*y - 161*l*y**2 + 2*l wrt y.\nAnswer: 42876*g**2*l + 4*g**2 - 322*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/(-2))\/(100100\/5200)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16 and 225.\nAnswer: 3600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 4*m + 5*r + 5 = 0, 5*m - 5*r + 25 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 24\/6*1 + 0. Suppose 4*d + 2*t = 5*t + 88, -2*d + 42 = -t. Calculate the remainder when 102\/p*(-10)\/(-5) is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 8*l - 3. Let s be y(7). Let h be ((-4)\/(s*-9))\/(4\/15). Let b = -1\/4 + h. Is -1 smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3b5a - -49?\nAnswer: 3ba6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*k - 69*k + 1684 - 10108 = 0. Suppose -2*i + 2*z = -20, -z = 2*i - 2*z - 18. What is the least common multiple of i and k?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55975?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14118450109 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 2\/125 of a microgram?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 10*i + 4. Let c(y) = 4*y**2 + 4*y - 5*y**2 + 3*y**2 + 1. Let l(j) = j**2 + 3*j + 1. Give i*c(s) + 3*l(s).\nAnswer: -s**2 + s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/28685 - 2295\/5737. Which is the fourth biggest value? (a) z (b) -0.1 (c) 0.06 (d) -0.2 (e) -47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 7) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/16 and -81\/56.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 28843.285 + -0.27?\nAnswer: 28843.015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 1 + 28 = w, u = 3*w - 7. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -3 - 1\/((-1)\/159)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 231578891 to the nearest integer?\nAnswer: 614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 10*n**2 - 99*n - 1149. Let l(d) = -13213 - 52*d + 6*d**2 + 12063 - 46*d. Let m(a) = -2*j(a) + 3*l(a). Find o such that m(o) = 0.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 5*v = -49 + 52, -k - 5*v - 7 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.03, 0.89 in descending order.\nAnswer: 0.89, -0.03, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 49 = -3*g, 5*g - 71 = -4*r + 8*r. Solve -3*s - 2 + g = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3879 is divided by 385?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4045537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/z**(-9))\/z)\/(z**0*z)*z\/z**(-3)*z\/(z\/(z\/(z\/(z\/z**(-2\/13))))))**(13\/6))**(-8\/7) assuming z is positive.\nAnswer: z**(-228\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 920485 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*g + 204 = 19*g. Is g a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 - 6 + 19*j + 6)*(-2*j + 0*j + 0*j).\nAnswer: 2*j**4 - 38*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 208\/26*-3 + 7?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g + 3*g + 2*g + g - 5. Let a(s) = s**3 + 6*s**2 - s - 1. Let o be a(-6). Let j(w) = -4 - 3*w + 1 + 7. Calculate o*h(k) + 6*j(k).\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -886182.29 to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 9) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cccx when four letters picked without replacement from {x: 15, c: 4}?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 133 - 136495?\nAnswer: -136362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -18*i - 22. Determine x(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 127674 + -127612.953. Let q = -0.115 - -61.115. Let i = y - q. Round i to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of z**5\/60 - 2*z**4\/3 + 35*z**3\/3 + 94*z**2 - 18. Give f(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*o - 27*o + 37*o.\nAnswer: 31*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 70 = 5*b, -x - 95 = b - 6*b. Let d(u) = u - 6. Let f be d(b). Let v = f + -15. Let j(r) = -r**2 - 4*r - 4. Give j(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1239408 by 4.\nAnswer: -309852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 13*n + 26. Let r be z(-11). Suppose -u + r = 5. Put -4, -6, u, 3 in descending order.\nAnswer: 3, u, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 444*n + 6231 = -2205 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**8*n**(-8\/3) assuming n is positive.\nAnswer: n**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 113423755 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 14140, 14137, 14124, 14095, 14044, 13965, 13852?\n\"Answer: -g**3 + g**2 + g + 14139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*p - 2*z, p = 2*z + 7 + 5. Let s(o) = -o + 11 - 3 + 2*o + p. Let r be s(-12). Is -1\/13 < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -626956447 + 15*y**3 + 626956447.\nAnswer: 15*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12 - -5acb490?\nAnswer: 5acb4a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y - y - y)*(-y - 5*y + 3*y) + (2 - 3 + 0)*(15*y + 42*y - 32*y)*(2*y + 0*y - 3*y) to t + g*y**2 + q*y and give g.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 28096.6 years in centuries?\nAnswer: 280.966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) - sqrt(2240)*1)\/(sqrt(343)*-2 + sqrt(7)) + (sqrt(45)\/(-1*sqrt(729)) + -2)**2.\nAnswer: 115*sqrt(5)\/117 + 329\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 70 + -69. Which is the closest to l? (a) -0.2 (b) -1\/9 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17161975 is divided by 8580978.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -682549 divided by -1967.\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 19 = -16. Let a = v - -37. Suppose 3*k - 42 = -0*i + 3*i, 0 = -a*k - 4*i + 10. Solve 0 = -3*t + 1 + k for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45 + x - 475*x**2 + 0 + 476*x**2 to the form p + k*x + m*x**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1942 - 1908) + (0 - (14 - -1)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 16.3, -6\/7, 2.9?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17605093 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**3 + 0*l**3 - 4*l**3 + (-13*l + 13*l - 18*l**2)*(7*l + 3*l + 18*l).\nAnswer: -508*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74346216?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -21*k - 58. Let b be n(-3). Let u be (6\/10)\/3 + 0. What is the second smallest value in u, 2, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 3*d - 39, 3*d = 2*d - 3*r + 3. Suppose 0 = -3*b - 0*b + d. Suppose -c - 2*o - 2 = 0, -c = b*o - 0 + 4. Solve c = -3*t + 4*t + 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3 + 4*w**2.\nAnswer: 4*w**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 - 35. Let d(t) = -t**3 - 5*t**2 - 3*t + 3. Give d(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.649 + -0.051. Let i = 3.1 + d. Sort 2\/21, i, 3 in increasing order.\nAnswer: 2\/21, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 67 + -37. Let z = 91\/3 - t. Find k, given that 0 + z*k**3 + 0*k**2 - 1\/3*k = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176758?\nAnswer: 2, 88379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -49, -4, -6, 56 in descending order.\nAnswer: 56, 5, 2, -4, -6, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 182558.529s to days.\nAnswer: 2.1129459375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 92 = -8*g - 16, 5*g + w = 64. Solve -7*k = -5*k - 3*o - 2, 4*k = -2*o - g for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2614, 2603, 2592, 2581, 2570, 2559?\n\"Answer: -11*q + 2625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1124.3 - -1179. Let n = -25 - 30. Let p = n + d. Sort 0.3, p, 0.03 in descending order.\nAnswer: 0.3, 0.03, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11200\/1440)\/(8\/16*(-12)\/(-27)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l - 2*l - 16 + 1 + 5*l**2. Let z(g) = 2*g**2 - 2*g - 7. Calculate -4*j(b) + 9*z(b).\nAnswer: -2*b**2 - 2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + -2.1. Let q = 2.5 + z. Let v = 0.6 - q. What is the nearest to v in -0.1, 0.4, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23243633?\nAnswer: 7, 3320519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/82701, 4\/7, -0.09?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 6.14. Let q = m + 12.86. Let d = 8 - q. Sort d, 0.5, -2\/3 in increasing order.\nAnswer: d, -2\/3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118800163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is nine sixteenths of a century in months?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 402913 - 287556. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2\/5 - 204*f + 12584\/5.\nAnswer: 4*(f - 242)*(f - 13)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2959 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -0.2, -737, 6, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 208 - 214. Let k(p) = -p**2 - 3*p + 23. Let z be k(c). Solve 1 = -z*b - 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of 3*r**6\/8 + 61*r**5\/10 + 32*r**4 + 16*r**3 - 32*r**2. Factor s(l).\nAnswer: 3*(l + 4)**2*(15*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*x + 22*x + 225 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 362 (base 16) in base 13?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(55)\/(-1*sqrt(5)).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s + 0*s + 43802 = 0. Let k = -131326\/33 - s. Find the common denominator of k and (1 + (-415)\/450)*-2.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 318658867?\nAnswer: 318658863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2518347 a multiple of 1180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6627622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 3\/2, 0.002, 15\/49?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -98709*f**2 + f**3 + 33*f + 98698*f**2 - f**3 + 2*f**3 to the form i*f + j*f**2 + w*f**3 + z and give j.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -349? (a) 1 (b) 5 (c) -136 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.09 = -326063?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 68 + 96. Let c be 2\/3 + g\/(-12). Let x = -9 - c. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111 - 10100101100101110?\nAnswer: -10100101100011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*j + 33 = -2*j, -2 = p + 3*j. Solve -3*i + p = 1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 7*v**3 - v**2 - v + 13. Let n(s) = 28*s**3 - 4*s**2 + 54. Let u(x) = -2*n(x) + 9*z(x). Determine u(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(102) + 1*sqrt(102)*1)*-1)\/(3*(-2*sqrt(150) + sqrt(150)) + (sqrt(150) - (sqrt(150) - 5*-2*sqrt(150)))).\nAnswer: 2*sqrt(17)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 247.78 - 238. Let i = 0.22 + u. Let s = -28.2 - -28.3. Which is the nearest to -0.2? (a) i (b) 0.5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -173 + 228. Calculate the highest common divisor of 440 and r.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + x**2 - 5*x + 2. Let o be ((-1)\/8*6)\/(24\/(-64)). Let m = -8 + 3. Let s(b) = 3*b**3 + 2*b**2 - 11*b + 5. Calculate m*a(q) + o*s(q).\nAnswer: q**3 - q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -2*h + 13, -5*o - 277138*h - 83 = -277139*h for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 919138746?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 4*n - 16 = 0, 4*c - n - 7 + 28 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -35*y + 9. Let f = 56 + -54. Suppose -5*n - 2*q = -15, n = -2*q + f + 1. Let b be o(n). Round b to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2330054.7 rounded to the nearest one thousand?\nAnswer: 2330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8225526 - 2280076. Suppose s = 3*p - 1554538. Suppose 0 = -3*t - 3*j - j - 7500016, t = j - p. What is t rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -210 + 99. Let t = -110.99999902 - y. What is t rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2190)\/1460*(-8)\/(-4))\/((-282)\/(-4))?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 5*t - 24. Let b be u(10). Let k = b + 83. Is 3 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, f: 1, p: 2, u: 1}. What is prob of sequence pxup?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -23*v**3 - 3*v**2 - 12*v - 31. Let g be p(-3). Let i = 1039 - g. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -100 - -81. Sort c, -1\/9, -4, 0.1 in decreasing order.\nAnswer: 0.1, -1\/9, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 11:21 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 - -68. Suppose 0 = -2*v - 16 + u. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -10. Let t(l) = q - l - 4 - l. Let d(a) = -2*a. Calculate d(t(n)).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 h when two letters picked without replacement from {x: 1, b: 1, t: 2, n: 2, h: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 268499 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/19 (b) 2 (c) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 28.90092 hours?\nAnswer: 104043312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/1021 (b) -16\/9 (c) -4.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 + 56. Let p = -86 + k. Calculate the remainder when 44\/36*6*18\/4 is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qzz when three letters picked without replacement from zzzzzzqzzzzqzzqzzq.\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*i - 3*i + 3*i)*(4*i**3 - 4*i**3 - i**3) + (-15 - 5*i**2 + 15)*(-2 - 4*i**2 + 3*i**2 + 4) to the form q*i**4 + u*i**3 + g + c*i + w*i**2 and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h + 11. Let k be b(-6). Let u(d) = -3*d + 33. Let i be u(10). Suppose 0 = 3*q + 8 - 2. Sort i, k, q in ascending order.\nAnswer: q, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -140 - -139.8. Let q = 62\/7 + -544\/63. What is the closest to -2\/5 in q, 0, -2\/11, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-2 - 0) + 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/4 of a kilometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12 + 48*o - 4 - 13*o wrt o?\nAnswer: 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-24)\/(-42) - 243\/21. Let j(n) = n**3 + 10*n**2 - 9*n + 22. Let v be j(z). Solve 0 = -l + 1 - v for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 6*m**3 - 5*m**2 + 47*m - 90. What is y(2)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1164 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 8:28 PM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010001 (base 2) to base 6.\nAnswer: -213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -0.3, 2.7721, -1.007?\nAnswer: -1.007","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -459*q - 782. What is the remainder when 2171 is divided by k(-2)?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -5, -26, 0, 136, -8 in increasing order.\nAnswer: -26, -17, -8, -5, 0, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4008\/11022*1122\/8\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -945*l. Let k(n) be the third derivative of n**5\/60 + 2*n**2 + 52*n. What is k(z(i))?\nAnswer: 893025*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 579339614?\nAnswer: 2, 7, 41381401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 935952 and 8288?\nAnswer: 13103328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 140.92ng to milligrams.\nAnswer: 0.00014092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**2 + 1940*q + 450405. Give p(-585).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 20*s**3 + 100*s**2 + 184*s + 128. Let j(f) = 4*f**3 + 20*f**2 + 37*f + 26. Let w(a) = -24*j(a) + 5*r(a). Solve w(y) = 0 for y.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 359, 11, 2, 2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1638914km in nanometers?\nAnswer: 163891400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -1804, -2, 1145, 5 in increasing order.\nAnswer: -1804, -5, -3, -2, 5, 1145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 456841?\nAnswer: 7, 11, 17, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*z = 407 + 477 + 728 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 less than -12?\nAnswer: -11.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -55.000098 + 55. Round i to 5 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirteen eighths of a centimeter?\nAnswer: 16250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -158*m - 1. Let b be k(-5). Suppose -b - 1007 = -4*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*v)*((-2 + 2 - v**4)*(-1 + 4 - 1) + v**4 + 3*v**2 - 3*v**2 - v**4 - 3*v**4 - v**4).\nAnswer: -12*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3*u**3 - 7*u**2 + 4*u - 4. Let d(f) = f**3 - f**2 + f - 1. Calculate -4*d(y) + v(y).\nAnswer: -y**3 - 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w + 2. Let o be u(0). Let j = 0.128 + 0.272. What is the nearest to 0 in o, j, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19345240 and 1390?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 49972343633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3230.9 + 3230.893269. Round r to four dps.\nAnswer: -0.0067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -30, -8\/9, 0.5, -1\/5 in ascending order.\nAnswer: -30, -8\/9, -1\/5, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 260 - 259.9999582. Round l to 6 dps.\nAnswer: 0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 2:18 AM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 10:16 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 9:34 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -9965 - -2.956?\nAnswer: -9962.044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5924506884770.8 - 5924508083053.81500074. Let h = 1198283 + d. Let w = h + 0.015. What is w rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5*5\/(-25)*39. Let o = -15 - y. Calculate the remainder when o is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.01 - 0.165. Let w = 2.175 + s. Let q be (-13)\/(-3) + 6\/9. Which is the biggest value? (a) q (b) 3\/5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3*n = -3, -4*u - u + 3*n = -27. Suppose 0 = 2*m + z - 3, 0 = u*m - 4*z + 1 - 11. Solve 1 = -m*h + h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wupxpxppnjpjj. Give prob of picking 1 u and 1 j.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3383 - 3378. Let k(f) be the second derivative of -f**2 + 5\/9*f**3 - 1\/18*f**4 - 1\/30*f**5 + b*f + 0. Factor k(y).\nAnswer: -2*(y - 1)**2*(y + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*v + 2\/9*v**4 + 0*v**2 - 2\/9*v**3.\nAnswer: 2*v**3*(v - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 13*p**2 + 36*p - 967. Let u(v) = -6*v**2 + v + 2. Let i(q) = j(q) - u(q). What is the derivative of i(m) wrt m?\nAnswer: 38*m + 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of 4*s**5\/45 - 11*s**4\/36 + s**3\/3 + 5*s**2\/2 + 8*s. Let w(x) be the first derivative of d(x). What is n in w(n) = 0?\nAnswer: 3\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q + 40*q = 54. Solve 3*x = -2*t - 1, 0 = -2*x - 0 - q for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.07, 0.4, -0.53, 1 in descending order.\nAnswer: 1, 0.4, 0.07, -0.53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131 + -11033?\nAnswer: -11230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 101070.82 - 0.43.\nAnswer: 101070.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -1960.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (24\/(-10))\/((-3)\/15). Suppose -v - 3*v - x = 0. Is (0 - 668)\/(-2) - v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y + 18*d - 16*d, -2*d = -4*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 807523771 a multiple of 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -695\/66432?\nAnswer: -695\/66432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((27\/(-72))\/((-42)\/48))\/3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -2*h**7\/21 - h**4 + 7*h. Find the third derivative of l(y) wrt y.\nAnswer: -240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of 3*v**2\/2 + 2*v - 233. Let b(k) = 3*k**2 + 9*k + 6. Let l(s) = -b(s) + 3*o(s). Let n(a) = -25*a. What is n(l(y))?\nAnswer: 75*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*q**6 + 6*q**6 - 9*q**2 - 6*q**6 wrt q?\nAnswer: -600*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -14*o + 7. What is the tens digit of a(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (-24 - -11 - -11).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42060 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1418 by -4.\nAnswer: -709\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20131222 - -1232020?\nAnswer: -12233202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(13) + 0 + sqrt(13) + sqrt(13) + -5 + sqrt(13) - sqrt(13)) + sqrt(13) + sqrt(1872)*2 + 0 - (-4 + -5*(sqrt(13) + 1 + sqrt(13))*-4))**2.\nAnswer: 504*sqrt(13) + 2316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1342 divide 805616020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -5*c - 4, -64*c + 59*c - 8 = -3*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11.6390992 + -11.64. Round z to 5 dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9, 8, 7, 6, 5?\n\"Answer: -a + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 51*c**2 + 89*c + 70. What is the remainder when u(9) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 174799032?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14412, 14398, 14360, 14286, 14164, 13982, 13728, 13390?\nAnswer: 12956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*m - 3725 - 607 = 0 for m.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 12 = -2*l, -3*u + 2 = -3*l + 8. Sort -2, u, 4, 3 in decreasing order.\nAnswer: 4, 3, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 37*q**2 - 141*q + 5. Calculate h(8).\nAnswer: 733","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47578?\nAnswer: 2, 23789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s - 1. Let w be i(-2). Suppose -17 = -w*v + 19. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, g: 1, m: 4, x: 4, f: 1}. Give prob of picking 2 x.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 8*z**4 - 24*z**3 + 42*z**2 - 44*z + 18. Let h(u) = -u**4 + u**3 + u - 1. Let g(b) = 6*h(b) + w(b). Factor g(o).\nAnswer: 2*(o - 6)*(o - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 10602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -7.6, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 6*p**2 - 4*p + 4. Let n be t(-5). Let o = 10 - n. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -159 - -175. Suppose 4*u = -4 + r, -s + 3*u = -948. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 (base 3) in base 2?\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 + 2)*(-202*b**2 - 17 + 133*b**2 + 75*b**2) + 7*b**2 - 3*b**2 + 11*b**2 to v*b**2 + c + u*b and give v.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1313)\/(-101) + 74*2. Suppose 4*p - 14 = 6. Suppose -5*d + 4*b = -f, d - p*b = -3*d + 127. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -5\/4. Is -2417 smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l + 8. Let n be t(-3). Let m be (2\/(-35))\/(1\/n). What is the third biggest value in 5, m, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 1. Let d(k) = 3*k**3 + 5*k**2 - 10*k - 29. Let b(x) = 2*c(x) + d(x). Is b(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - 2*m**3 + 0*m + (4 - 4 - 1)*(-85*m**3 - 526*m**3 + 105*m**3))*(-5*m**2 + 2*m - 2*m) + 3*m**5 + m**5 - 5*m**5.\nAnswer: -2521*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 897504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooooovvoo. Give prob of sequence ooov.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 5*t + 46155, -11134 - 25792 = -4*x + 2*t. List the prime factors of x.\nAnswer: 2, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (46 - 1) + 1\/(-1)*1 is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**2 + 53*y - 218. Calculate c(-28).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5}. What is prob of picking 3 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -10930, -21850, -32758, -43654, -54538?\n\"Answer: 6*k**2 - 10938*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/899? (a) 3\/4 (b) 1\/3 (c) -138 (d) 2 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bh when two letters picked without replacement from {j: 2, i: 1, h: 2, q: 2, b: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 + -23. Solve 0 = -8*q + 4*q - u for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -15*d + 4. Give v(2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 4. Let a be (5\/5)\/((-4)\/16). What is the nearest to 2 in z, a, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -45622\nAnswer: -91244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 46\/(-6)*(-1 - 18). Let r = -144 + b. What is the nearest to -1 in r, -2, 1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 25 + 7 = 0. Suppose 5*v - u = -1. Let q = v - 1. Solve 0 = -y - q - 2 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 9*x**2 - 67*x + 190. Let t be p(3). Calculate the greatest common divisor of 2 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -850 + 849.284. What is v rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3512 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**2 + 53*j + 69. What is a(-24)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 42616 - 161244 = 0. Suppose -3*r - p - 30686 = 0. What is r rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 90 and ((-1200)\/70)\/(-1*(-15)\/(-70))?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h - 2 + 2)*(1 - 1 + 4*h) + (0*h**2 + 2*h**2 + 0*h**2)*(3 - 3 - 1) - 2*h**2 + 9*h - 9*h as r*h**2 + q + o*h and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*o**2 - 2*o**2 - 3*o**2 + (4*o - 5*o + 0*o)*(-2*o + 0*o + 0*o) + 0*o**2 + 2*o**2 - 3*o**2)*(4 + 1 - 1).\nAnswer: -48*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -451387*-0.13\nAnswer: 58680.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 - 4. Calculate the least common multiple of 15 and -4 - (-4)\/(4\/t).\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 3*h - 6*h + 17, 0 = -2*b + 5*h - 23. Which is smaller: b or 2\/581?\nAnswer: 2\/581","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -133*k**3 + 32 wrt k?\nAnswer: -399*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from swwdsdwswddwdwd. Give prob of sequence dsdd.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4392 = 383*k - 395*k. Is -367 at least as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-2))\/(1\/(-3)). Let a(w) = -17*w**2 + 2*w - 1. Let m be a(1). Let i be (6\/4)\/(6\/m). Sort -2, h, i in descending order.\nAnswer: h, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-5\/4))**(-41) assuming u is positive.\nAnswer: u**(205\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -566*t + 10748. Give w(19).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 8 = 2*t + 2, 0 = -k + 4*t + 10. Suppose k*n - 3*n = 0. Solve -2*v - v = n for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 + (2 - -4) + 0. Solve 4*o + 23 = -3*k, c*o + 5 + 10 = -5*k for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-112)*35\/(-30)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, a: 2, b: 1, r: 1}. What is prob of sequence bm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -23503, -34, -2?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.02 - 1.98. Let t = -1.9607884 - 0.0392118. Let n = t - a. What is n rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*a**3 - 12 + 12 + (1 + 0 + 4)*(-2*a**3 - 5*a**3 + 3*a**3).\nAnswer: -10*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/42*-69 - -9.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1504*c**5\/23 + 35664*c**4\/23 + 14514*c**3\/23 - 101402*c**2\/23 + 45780*c\/23 - 5472\/23 = 0. What is c?\nAnswer: -2, 1\/4, 57\/47, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - w - 49 = -2*w, 3*s - 4*w = -27. Calculate the common denominator of 113\/10 and 2\/s - 1412\/(-728).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51 and 12087.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 16*j. Let y(n) = -4520*n. What is q(y(i))?\nAnswer: -72320*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24095 - 14701. Does 17 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x. Let a(k) = 121*k**2 + 11*k - 11. Let s(w) = 31*w**2 + 3*w - 3. Let m(v) = 6*a(v) - 22*s(v). Determine m(d(i)).\nAnswer: 176*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(-2)\/26*3. Let j = -43\/39 + h. Which is the nearest to 0.1? (a) 2 (b) 0.1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 339829 a multiple of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -98 + 95. What is the nearest to 0 in o, 0.4, 4, -15?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3 + 630*i**2 + 1911*i + 1278.\nAnswer: -3*(i - 213)*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 18 - 39. Suppose w*q - q = -40. Suppose -24 = 4*a - 4*f, -a = 3*a + 3*f + 10. Sort a, q, -1 in ascending order.\nAnswer: a, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -119 + 118. Let u be ((-96)\/360)\/(n + 1\/(-5)). Put 1\/10, -4, 5, u in descending order.\nAnswer: 5, u, 1\/10, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -524449*b - 2097863. Give m(-4).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 65101699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -58743 + -5?\nAnswer: -58748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1245 - 4?\nAnswer: -1249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -46*w + 7. Let l be c(-5). Suppose 2*k + l = 3*k. Suppose -5*t + 277 = j - k, 4*t + 3*j = 420. Is 17 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187980457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -1064?\nAnswer: 1065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 46, 4, -16 in descending order.\nAnswer: 46, 4, -16, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002111397 to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7729 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4 - 5*r**2 + 3 - 3 + 0*r**2 wrt r.\nAnswer: -10*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 1028*i + 2. Let x(a) = -1025*a - 2. Determine 9*x(j) + 8*z(j).\nAnswer: -1001*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 18410.\nAnswer: 110460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 702970362 equal to 702970363?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11\/2 in 4, 0.3, 5\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeeeegegee. Give prob of sequence gg.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.825 and -0.2.\nAnswer: 0.165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 3*s + 3 = 0, -3*s - 4 = -5*h + s. Suppose u - 115 - 73 = h. Is (u\/8)\/((-3)\/(-30)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2 = 2. Suppose 5*d + 0*w - 5*w = 10, 4*d = v*w + 16. What is the second derivative of 10*r - 7*r**2 + 0*r**2 + d*r + 6*r wrt r?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 3*w + 24, 4*g - g = -3*w. Suppose 6 = g*j - j. Let 6*l**3 - 10*l**j - 2*l**2 + 4*l**2 - l + 3*l**3 = 0. What is l?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 406059, 812120, 1218181, 1624242, 2030303?\n\"Answer: 406061*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -12 + 32 + -8 + 2 + 47 + -5?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*t - 67 = -242 - 105 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3321985 is divided by 2200?\nAnswer: 2185","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 1794 + -905. Suppose 31*k - t = 24*k. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 1:54 PM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -170236*d. Let c(a) = -2*a - 196. What is c(i(o))?\nAnswer: 340472*o - 196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 1. Let a(h) = 7 - 2*h - 3 + 2. Let j(r) = -5*a(r) + 40*g(r). Let f(k) = -2*k - 2. Let i be (168\/18)\/(4\/6). Determine i*f(l) + 3*j(l).\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*r + 13 = -2*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3923, 3921, 3917, 3911, 3903, 3893, 3881?\nAnswer: 3867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -c**2\/2 - 40. What is u(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2 - 4*f + 0*f - f. Let h be g(-2). Let d be 17\/4 - 9\/(-12). Solve h = -d*p + 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/6472 and (-14)\/48*-3*(-595)\/85.\nAnswer: 6472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -443*h**2 + 54*h - 54*h.\nAnswer: -443*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from smmmmmmmsm. Give prob of picking 3 m.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 19*c - 13. Let t(y) = -20*y + 15. What is -3*t(w) - 4*x(w)?\nAnswer: -16*w + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of b**4\/2 - b**3\/3 + b**2\/2 - 2. Let i be a(1). Solve -3 = i*f - 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(110) - sqrt(110)*1) + sqrt(110) + sqrt(110)*-1*4)\/((sqrt(1440) + sqrt(1440)*2 + sqrt(1440))\/sqrt(4)))**2.\nAnswer: 11\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 130\/182 - ((-26)\/39*15\/(-14) + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33) - (sqrt(66) + -4*sqrt(66) + sqrt(66))\/sqrt(2) - sqrt(33)) + sqrt(33) - sqrt(3300)*-2)\/(6*sqrt(891)*-1*3).\nAnswer: -23*sqrt(3)\/162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 736?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 187 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/11200 and 44\/175.\nAnswer: 11200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 213155+1719\nAnswer: 214874","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 {k: 11, l: 9}?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 293, 277, 259, 239, 217, 193?\n\"Answer: -j**2 - 13*j + 307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 7) to base 8.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q + 13 = 13*q. Let z = q + -11. Suppose -z*w + 7*w - 195 = 0. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence orf when three letters picked without replacement from {f: 6, k: 1, j: 1, r: 4, u: 5, o: 3}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in -3, 1\/4, 8, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of o**3\/6 - 12201*o. Let w(q) = -13941*q. What is j(w(h))?\nAnswer: -13941*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of 7*b**8\/24 + 2*b**7\/15 - 67*b**6\/30 - 174*b**5\/35 - 135*b**4\/28 - 18*b**3\/7 + 38*b**2 + 9*b. Find a, given that c(a) = 0.\nAnswer: -1, -3\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44568?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 8:31 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3487?\nAnswer: 11, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1020 divided by 3?\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*m**2*n**3 + 30*m**2*n**2 + 200*m**2*n - m**2 + 3881*m*n**3 + 2*m*n - 3*m + n**3 wrt m.\nAnswer: -6*n**3 + 60*n**2 + 400*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33137, 67585, 102033?\nAnswer: 136481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a + 1. Let d be h(3). Let v(j) = -j**2 + 5*j - 2. Let b be v(d). What is the units digit of (78\/65)\/(b\/5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ufbbujufujfufuffuuf. What is prob of sequence bj?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.1, -2\/3, -0.1, 658075, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/19 or 0?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 13, 104, 365, 880, 1733, 3008, 4789?\n\"Answer: 14*b**3 + b**2 - 10*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q - 5. Let h be k(-5). Suppose 2 = h*y - 43. Find the third derivative of -4*v**2 - v**3 - 4*v**2 + y*v**2 wrt v.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -6*w - 1. Let u(a) = 19*a + 2. Let t(h) = 2*u(h) + 7*y(h). Let g be t(-2). Suppose -g = -3*d + 61. Calculate the greatest common factor of d and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/5 + 6392752*b\/5 + 5108409766688\/5.\nAnswer: 2*(b + 1598188)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -115, -119, -123, -127, -131, -135?\n\"Answer: -4*f - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -1117?\nAnswer: -1\/1117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -2*c + 200. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2279100 to the nearest ten thousand.\nAnswer: 2280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x - 3*x + x + 9*x + 30*x - 7*x + (4 - 4 + 2)*(0*x - 2*x - 3*x).\nAnswer: 24*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 4*y - 22. Let l be t(6). Suppose 1505 = l*a + 3*a. List the prime factors of a.\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 5673 = 2092. Let f = l - -2232. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 + -18. Let l be 2\/(-7) - (-9)\/7. Suppose -n*v + l + 4 = -2*t, 5 = 4*t - 5*v. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6721944 to 4 decimal places.\nAnswer: 0.6722","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247*t = 248*t - 477*t - 342 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(36616\/9156 + -4). Let v = a + -830. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.74 and -0.015.\nAnswer: -0.0111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*(p*p**(-15))\/p)**(1\/2))**(-1\/15) assuming p is positive.\nAnswer: p**(13\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5121904 is divided by 1197.\nAnswer: 1138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -27, -73, -141?\nAnswer: -231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 + -54 + (-1 - -7) + -19.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 8*q**2 + 27*q + 3. Let y(b) = -3*b**2 - 14*b - 2. Let j(l) = -2*v(l) - 5*y(l). Let u be j(16). Solve -4 = -u*s + 16 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 5*m + 18*m - 14*m - 2. Suppose -4*a - 2 = -3*i, -1 = i - 2*a - a. Let b be n(i). What is the highest common factor of b and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/25788 and 61\/66?\nAnswer: 283668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -20 + 8 + (-56)\/(-4). Solve -4*w + 16 = x, -3*w + 11 = u*w - x for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 537*z - 297*z + 220 = 295*z. Suppose 0 = 2*n - 5*n. Suppose -2 = -2*p - n. Sort -3, 20, p, z in ascending order.\nAnswer: -3, p, z, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -60 * 0.038.\nAnswer: -2.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 20958113 and 13.\nAnswer: 20958126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20451 or 20414?\nAnswer: 20414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 14*f**2 + 143*f - 16. Give t(7).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 67 - 46. Suppose 19*b - 16*b - q = 0. Suppose 0 = 2*v + 3*s + b, 0*s = 3*v + 2*s - 2. Solve -v*l = -3*l + 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of l**7\/1260 - l**5\/60 - l**4\/24 - 4*l**2. Let u(h) be the second derivative of a(h). Suppose u(q) = 0. Calculate q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of a**7\/4200 - a**6\/1200 + 5*a**4\/12 + 11*a**2. Let u(h) be the second derivative of m(h). Let u(v) = 0. Calculate v.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -269 + 1246 - 327 + j - 327 - 319 - 2*j.\nAnswer: -j + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 451940159?\nAnswer: 11, 41085469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqiqqusis. What is prob of picking 2 q and 1 u?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 81541 + 4?\nAnswer: 81545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of 50*n + 0 + 0*n**2 - 37\/21*n**7 + 0*n**6 + 0*n**5 - 11\/6*n**3 + 0*n**4. What is the second derivative of o(x) wrt x?\nAnswer: -1480*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30082777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qjq when three letters picked without replacement from qqqqjqqqqjq?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**2 - 5*b - 4. Let n be o(-4). Let r = n - 242\/5. Let m = -2.7 + 3. Sort m, r, -0.3 in ascending order.\nAnswer: r, -0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 - 50 - 49 - -49?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 6*z - 6. Let i be s(-6). Let x(b) = b**3 + 6*b**2 + b + 8. Let r be x(i). Differentiate -7 + 8*j**r + 0*j**2 - 1 wrt j.\nAnswer: 16*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3, -a = -8*m + 3*m - 40. Suppose -a = -3*f + 5*i, -f + 15 = -5*i - 0*i. Solve 5*h + 15 = -5*y, 4*y + f + 3 = -2*h for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 188596, 377663, 566730?\n\"Answer: 189067*h - 471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4b6b + 1?\nAnswer: -4b6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 - -110. Suppose 144 + k = 4*q. Calculate the remainder when q is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by -4269738.\nAnswer: -1\/388158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**3 + 6*w**2 + 9*w - 2. Let x = -784 + 492. Let o = x + 296. Give l(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 6*y - 3. Let l = -28 - -32. Let t be o(l). Solve c = -t*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*(32\/(-176))\/((-4)\/11). Let b(w) be the third derivative of l*w**3 + 0*w - 1\/60*w**5 + 0 + 0*w**4 + 3*w**2. Let n(i) = -9*i. Give n(b(v)).\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(4\/3))\/t*t)**(-2\/31)\/(t\/t**(-34)*t*(t**12\/t)\/t*t) assuming t is positive.\nAnswer: t**(-4369\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/9720 and -19\/2250.\nAnswer: 243000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 9 - 4. Suppose 19 - y = q. Let g = -22 + q. Let r(m) = -m - 5. Calculate r(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - 0. Let f be 5 + (o + 2)*3. What is the first derivative of 3*h**2 + 3*h**2 - 5 + 3*h**f - 4*h**2 wrt h?\nAnswer: 10*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 58?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*m - 334 = 186 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 - 14*c - 37. Let t be y(-4). Which is greater: 5 or t?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 - 57350?\nAnswer: -57345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 838 + -866. Find the common denominator of ((-7)\/((-3675)\/(-9)))\/(k\/(-455)) and -93\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1714*o - 1807*o + 257 - 164 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -480 = -190*x + 3890. Solve 119 = -x*g + 6*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26093 (base 10) to base 4.\nAnswer: -12113231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (17 + -27 - -18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 360 - 589. Let h = 228.9877 + c. Round h to three dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -39248 and -8?\nAnswer: 39240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 100200312110200?\nAnswer: 100200312110201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 - 42. Put o, 1\/9, 5 in ascending order.\nAnswer: o, 1\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 9*a**2 - 10. Let t(o) = -o**3 + 10*o**2 - o + 11. Let x(b) = -5*h(b) - 4*t(b). Let n be x(6). Let d(j) = -2*j - 3. Give d(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12373*-2.65.\nAnswer: 32788.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001110010010111010 (base 2) in base 9?\nAnswer: -537821","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 2*a = -3*w + 22, -3*a - 36 = -5*w. Let o = w + 3. Suppose -4*m = -o*m + 115. Does 9 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 96 = -5*z, b + 0*z + 2*z = 11. Calculate the remainder when b is divided by (-22)\/(1\/(3\/(-6))).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v**2 - 522800*v + 88210395 = 0 for v.\nAnswer: 169, 104391","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*c**2 + 19*c**2 - 292*c**2 + (-4*c + c + 4*c + (-3 - 4 + 5)*(2*c + c - c) - 2*c + 1 - 1)*(1 - c - 1).\nAnswer: -250*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*v + 4*k, -4*v + 5*k + 11 = -2*v. Let z = 0 + 4. Let y(r) = r - 2*r + 8 + z*r. Let o(a) = -2*a - 5. Calculate v*o(g) + 5*y(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 185385146?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/(-42))\/(52\/(-6))?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-42)*c)**(3\/35)*(c**(3\/17)*c)**39 assuming c is positive.\nAnswer: c**(5052\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -7322\/93 greater than -80?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, h: 2, o: 1, g: 1, x: 2}. What is prob of sequence uo?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1580268 by 395067.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 63*f + 44 + 34 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 9*n + 2. Let q(k) = k + 2. Suppose -5 - 15 = 5*p. Let x be q(p). Determine o(x).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -110.309435 to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71, 294, 891, 2048, 3951, 6786, 10739?\nAnswer: 15996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 10:24 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -31.91?\nAnswer: -15.955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 52 = -9*w, 0 = 3*w - 4*l - 0*l - 25226 + 25288 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/4)\/((-30)\/(-5) + -8). What is the closest to -129 in j, 1\/8, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.82 and -0.24.\nAnswer: 0.4368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -a - 0*a - 2*g, -4*a + 29 = -5*g. Suppose -a*m + 4*m = 1876. List the prime factors of (1\/2)\/((-2)\/m).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 84066411?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11272.82 - 11167. Round q to the nearest integer.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of z**6\/120 + 3*z**5\/80 + z**4\/48 - z**3\/8 - z**2\/4 - 19*z. Find f such that d(f) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6949278 != -6949279?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 216*n**4\/7 - 44064*n**3\/7 + 2937150*n**2\/7 - 63783794*n\/7 + 20936544\/7 = 0.\nAnswer: 1\/3, 48, 467\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 2 - 3)*(3*h + h - h)*(-9 - 3*h**4 + 9) - 10*h**5 - 8*h**5 - h**5 + (-3*h**2 - 3*h + 3*h)*(3*h**3 + 0*h**3 - 2*h**3).\nAnswer: -40*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.42 - -3.67096448?\nAnswer: 3.25096448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -123334330 + 0?\nAnswer: -123334330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 351\/2 greater than 175?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8766356*t*u + 3273219*t wrt u.\nAnswer: -8766356*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - t - 245, 0*t - 607 = 5*m - 3*t. Let j = -48 - m. What are the prime factors of j?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g**5 + 32*g**4 - 6*g**3 - 32*g**2 - 8*g = 0. Calculate g.\nAnswer: -2, -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 10:35 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/9)\/(1\/(3*-6)). Suppose 77922 = 152*g - 35*g. What is the highest common divisor of x and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 less than -58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 11) to base 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 22 - 8 - 11)*(-24*r**2 - 1 + 13*r**2 - 32*r**2 + 2*r).\nAnswer: 1548*r**2 - 72*r + 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 13*u + 20 = 0, 218*z - 18 = 436*z - 218*z + 18*u for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -258 - -304. Solve -3*u = -k + 40 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*c**4 + 8240*c**3 + 5*c - 510017?\nAnswer: -16*c**3 + 24720*c**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (234\/273)\/(-3) - 732\/(-14).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 6*x + 124. Let q(v) = -4*v**2 - 24*v - 494. Let j(p) = 9*i(p) + 2*q(p). Is 14 a factor of j(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((5*(sqrt(2448) + 3))**2 + -4 + (-2*sqrt(2448)*-2 + (-1 + sqrt(2448) + sqrt(2448) + 3 - sqrt(2448)))**2).\nAnswer: 2040*sqrt(17) + 122625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 827483742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/48 and -31\/84.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -274625047806 - -3?\nAnswer: -274625047803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -4*a + 5 + 25, 0 = 3*k + 3*a - 36. Suppose 5*f = -z + 7, 3*f + 5*z + 0 = -k. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h = -3*h. Solve -g - g = h for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/11 - 589*o**2\/11 - 13385*o\/11 - 34827\/11.\nAnswer: (o - 611)*(o + 3)*(o + 19)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-240)\/(-210))\/(2\/(-42)*-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j + 3*b + 25, -7 + 2 = 5*j - 5*b for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6304, 6317, 6328, 6337?\nAnswer: 6344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 42474 = -0*c + 3*c, -c + 14146 = -3*j. Is c a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t*t**9*t)))\/(t**(8\/9)*t) assuming t is positive.\nAnswer: t**(82\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g. Let u(r) be the second derivative of 8\/3*r**3 + 0*r**2 + 0 - 50*r. Give u(d(z)).\nAnswer: -32*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 743894801?\nAnswer: 13, 57222677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(612) + sqrt(612) + -3 + (sqrt(187)*-5 - sqrt(187))\/sqrt(11))*2)**2.\nAnswer: -5184*sqrt(17) + 89424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -10.\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 2387463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/51 and -137\/89735952.\nAnswer: 1525511184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + (-2)\/(-1 - -2). Let x = 1 + l. Let i(f) = -f**2 + 6*f + 4. Let z be i(6). Sort 2, z, x in increasing order.\nAnswer: x, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**3 + 9*q**2 - 9*q + 9. Let t(n) = -n**2 + n - 1. What is -2*i(x) - 18*t(x)?\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 34*a**2 - 36. Let m(b) = 1. Let j(v) = -4*m(v) - y(v). Differentiate j(l) with respect to l.\nAnswer: -68*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 1.5, -2\/3, 1\/11, 20\/3, 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8\/1767 - 212128\/19437. Let x(l) = 39*l - 1143. Let p be x(29). Which is greater: p or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.21 times -3\nAnswer: 9.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**5*z**(2\/15)*((z**(-2\/7)\/z)\/z)**(-1) assuming z is positive.\nAnswer: z**(-166\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12864486 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19980 is divided by 588?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 + 6b?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 6. Let i = 16.3 - 16.5. Let g be -1 + 1 + 8\/(-14). Which is the third biggest value? (a) t (b) i (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/2)\/((-3)\/(-15)). Let d(z) = -3*z - 17. Let f(p) = p + 8. Let y(l) = 2*d(l) + 5*f(l). What is the units digit of y(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 5:25 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**4 - 147*d**3 - 153*d**2 + 147*d + 150.\nAnswer: 3*(d - 50)*(d - 1)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 0*i**2 - 4\/15*i**5 - 1\/36*i**4 + 1\/27*i**3 + 0*i + 4. Factor h(m).\nAnswer: -m**2*(3*m + 1)*(4*m - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-67620)\/966)\/(2\/3).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and -25.0102562.\nAnswer: -24.8102562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 0)*(-82*n - 455 + 455) to the form c + u*n and give u.\nAnswer: 328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166 = 8*z + 78. Differentiate -36*h + z*h + h**2 + 13*h + 103 + 11*h + 3*h**2 wrt h.\nAnswer: 8*h - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -186107*c**2 + 1456*c - 341*c + 182828*c**2 + 2 wrt c.\nAnswer: -6558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66503 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + n**5 + 1)*(-3 + 0 + 1)*(-3 + 0 + 0).\nAnswer: 6*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -274\/557?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375 is divided by 5 + 1 - ((-197 - -3) + -32)?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, z: 2, j: 3, v: 1, h: 1, d: 3}. What is prob of sequence dzj?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -21*w. Let v(s) = 65 + s - 65. Calculate v(l(p)).\nAnswer: -21*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ysaffswsssasaasaa. Give prob of sequence ws.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**4*(z*(z\/(z\/z**10))\/z*z)\/z*z*((z**(-10\/7)*z)\/z)\/(z**(4\/13)\/z) assuming z is positive.\nAnswer: z**(1298\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**4\/10 + 13*g**3\/2 - 318*g**2\/5 = 0.\nAnswer: 0, 12, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n. Let g(f) = 614*f + 16. Let a(z) = 119*z + 3. Let i(d) = 16*a(d) - 3*g(d). Give i(o(u)).\nAnswer: 124*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -4*j + 164 + 406, -431 = -3*j + 2*o. Let s = 225 - j. Suppose -5*n + s = -35. Is 15 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 41238297?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1)**(2\/33)\/(b*b**(2\/7)*b*b*b**(-5))*((b\/b**(-1\/4)*b)\/b*b**0)\/(b\/b**1*b*b*b**(3\/2)) assuming b is positive.\nAnswer: b**(-439\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -108\/36995345 or -1?\nAnswer: -108\/36995345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3479 is divided by 703.\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/3, -3, -0.3, 0.01797, 1, 7?\nAnswer: 0.01797","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2156)\/(-176))\/49*-1.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of 5*i**4\/2 - 2*i**3\/3 + i**2 - 305. What is p(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 l when two letters picked without replacement from {l: 2, y: 3, t: 1, b: 4}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 70 + -30. What is the least common multiple of a and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g - 3*g**2 - 2*g**2 - 2*g**3 + 3 + g**2 to the form o + l*g**2 + r*g + w*g**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 (base 14) in base 15?\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 970111063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13e (base 15) to base 11.\nAnswer: -239","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o**3 - 7*o**2 - 19*o - 4. Let n be s(4). Factor -1\/5*z**5 + 1\/5*z**3 + n + 1\/5*z**2 + 0*z - 1\/5*z**4.\nAnswer: -z**2*(z - 1)*(z + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 5*p + 558 - 427, 0 = 2*k + 2*p - 310. What is the greatest common divisor of k and 368?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*q - 37*q - 22*q - 215 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -4. Suppose u - m*u = 0. Which is the nearest to -0.1? (a) u (b) 0.4 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 174, 706, 1584, 2802, 4354, 6234, 8436, 10954?\n\"Answer: -b**3 + 179*b**2 + 2*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2)*(-2*s**5 + 1 - 1) + 7*s**5 + 0*s**5 - 2*s**5.\nAnswer: 7*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7154 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 5*i - 900. Suppose 0*a - 4*f = -2*a + i, -4*f - 260 = -3*a. Calculate the greatest common factor of a and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wkkw when four letters picked without replacement from kiwkwkki.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1405441*a**4 + 55627*a**2 wrt a.\nAnswer: 33730584*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36419*c**3 + 2650*c**2 + 2790322*c + 99?\nAnswer: 218514*c + 5300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-45 + 43)*(-42)\/4. Is (-6 + 112\/c)\/(2\/(-12249)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 4076 = -2107. Let j = c - 120. What are the prime factors of j?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + -3)\/(4 - 2). Let c(a) = -19*a**3 - 2*a**2 + 1. What is the units digit of c(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - p**2 + p + 4. Let c be f(0). Suppose 0*t = -c*t + 48. Solve 0*g - t = 3*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 4*h. Let p(j) = j + 1. Let w(r) = -d(r) - p(r). Let l be 166\/34 + (-20)\/(-170). Let x(n) = l + 3 + 5 - 14 - 4*n. Give 3*w(t) - 4*x(t).\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 431 is divided by -4 + 29\/(290\/780)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t\/(t\/(t**(-41)\/t*t)))*t*t*t**20*t)**(-40) assuming t is positive.\nAnswer: t**(-2640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 0 + 75*s**3 - 74*s**3 + 17 - s. Let h be w(0). Calculate the greatest common factor of h and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + (-156)\/16)*((-64)\/(-66) + 496\/1364).\nAnswer: -31\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9342 is divided by 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -5*l + 1 + 9, -2*v - 8 = -4*l. Let q be -2*l + (-96)\/(-4). What is the highest common factor of q and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*d**2*h**5 + 20158*d**2*h**4 - 80038*d**2*h**2 wrt h.\nAnswer: 240*d**2*h**2 + 483792*d**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26371970047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -13*o**2 + 7*o - 9. Let y = -5 + 12. Let d(f) = 6*f**2 - 3*f + 4. Determine y*d(g) + 3*p(g).\nAnswer: 3*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 0*q = 15. Suppose 0*h = q*h - 6. Are 4 and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2, 12, 5, -3, -5, -123 in decreasing order.\nAnswer: 12, 6, 5, -2, -3, -5, -123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1140 - 8?\nAnswer: 1131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1860629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 10*b**2 - 23*b - 14. Let p be g(-10). Let r(d) = -d**2 - 6*d - 2. Let t be r(-5). Suppose j = -t*j + p. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 4) + -7 - -2. Let s = 12 + a. Let q(h) = -h**2 - 4*h + 3. Let n be q(-4). Put s, n, -5 in increasing order.\nAnswer: -5, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27*(-9)\/(-54)*(-5812)\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 1\/4, 0.23, -24\/13, 2, -2 in decreasing order.\nAnswer: 2, 2\/5, 1\/4, 0.23, -24\/13, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 302689068.\nAnswer: 2, 3, 11, 563, 4073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -68063 + 4?\nAnswer: -68058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 525788812 to the power of 1\/2, to the nearest integer?\nAnswer: 22930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.155 + -1.155. Which is the closest to 3? (a) 0.1 (b) o (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/63)\/((-6)\/126).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 39 = -3*l - 0, 0 = 3*x - 3*l - 9. Solve -x*z + 17 - 5 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 8 - 13 = a, 3*f - 2*a = 22. Suppose -h + 1591 = -20*j + 19*j, -5*h - f*j = -7973. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -4*x**2 + 58*x - 186. What is q(6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 336 = 5*o + 102, -o = -2*t - 42. Solve o = -5*s + 46 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by -27855872.\nAnswer: -1\/2532352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**2 + 26259*h - 26259*h.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -121 + 181. Let q = 91 - u. Let d = q - 65. Which is smaller: d or 2\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jwc when three letters picked without replacement from wjxccxcc.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 21690.804 and -704.\nAnswer: 20986.804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78 and 312?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2857766556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 141417, 141816, 142215, 142614, 143013?\n\"Answer: 399*h + 141018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 times -3?\nAnswer: -996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t*t*t*t**0*t)*t*t*t\/(t*t**(-1\/12)*t*t*t))**24)**23 assuming t is positive.\nAnswer: t**(-1610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 297 = -7. Suppose -5*q + 2 = -j. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + 16. Suppose 0 = i - 2*x - r + 4, 2*i = -4*x + 8. What is the first derivative of 6*s + 5 + i*s - 4*s wrt s?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15\/3 + -1 + (-2 - -7). Solve -y + n*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-10\/7)\/q**(-10) assuming q is positive.\nAnswer: q**(60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19605476*j**5*x**2 - j*x**2 - j*x - 1449895*x wrt j?\nAnswer: 392109520*j**3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 1)*(15 - 15 - 6*p**3) + 2*p**3 - 5 + 5 + (3*p**3 + 3*p**3 - 4*p**3)*(2 + 0 - 4) - 3*p - 2*p**3 + 3*p.\nAnswer: -16*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 2 - (-9 + -2 + 6 + 14).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -4, 2\/3, -0.2, 2.3, -1?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4\/3 of a minute?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**2*r)\/r)\/r*r*r**(5\/4)*r*r**(-9)\/r**(4\/5) assuming r is positive.\nAnswer: r**(-111\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a gram in milligrams?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/3 - 2*b + 20\/3.\nAnswer: -2*(b - 2)*(b + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 25*c - 901. What is g(39)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 748*d**3 + 14*d**2 + 7*d + 498. Let z(o) = 375*o**3 + 6*o**2 + 3*o + 248. Let b(g) = -3*r(g) + 7*z(g). What is the first derivative of b(x) wrt x?\nAnswer: 1143*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 208*x - 32*x - 1056 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**2 + 367*o + 4491. Give d(-12).\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 20 = -2*w, -5*w - 3*y = 10 + 2. Let u(n) = 2*n - 2*n - 5*n + 22 + 4*n. Let g be u(w). Solve -7 = -2*b + i, 2*b = 3*i - 7*i + g for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 0 + sqrt(242) + 4)*-5 - 3*6*2*(sqrt(242) + sqrt(242) + 0))**2.\nAnswer: 67760*sqrt(2) + 1436418","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, e: 3}. Give prob of picking 2 q.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1335*(0 + ((-144)\/3 - (6 + 3)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 83 = 2*k, 2*i - i = -k + 16. Suppose 3*a - 11 = 4*p, 0 = -4*a - 0*p + 3*p + i. Let n(x) = 2*x**3 - 3*x**2 - x - 7. Is n(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14 - 0?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 45*f + 1 = 46*f, 6*r - 43 = -f. Let o(v) = v**2 - 14. What is o(r)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 394306\/506043 - -4\/8577. Which is greater: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 30*l**4 + 10918*l**3 - 122*l - 821330287 wrt l?\nAnswer: 120*l**3 + 32754*l**2 - 122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**1)\/(z\/(z**5\/z)))**49 assuming z is positive.\nAnswer: z**147","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 50*l - 54*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and 2928?\nAnswer: -17568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12*g*m*n**2 - 9*g*m - 2*g*n**2 - 29*g - 2*n**2 wrt m?\nAnswer: -12*g*n**2 - 9*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 10:20 PM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-720)*55 + (-1 - 0)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1589 - 892. List the prime factors of q.\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 124, 0.11, -0.3, 51, -1, -0.4 in decreasing order.\nAnswer: 124, 51, 0.11, -0.3, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 37306 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33049547 and 1887?\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8, 12, 16, 20, 24?\n\"Answer: 4*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -194511, -194574, -194637, -194700, -194763, -194826?\nAnswer: -194889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/7)\/(a\/(a**(1\/4)*a)))**33 assuming a is positive.\nAnswer: a**(-33\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 498 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 2) in base 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 317*w**3 + 9*w**2 - 45*w - 53. Give f(-1).\nAnswer: -316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/3 - 8*s - 64\/3.\nAnswer: -2*(s + 4)*(s + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 44108 to the power of 1\/2, to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -259*b**6\/6 - 13*b**3 - 270. Find the third derivative of r(v) wrt v.\nAnswer: -15540*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 11:36 AM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1244 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7.283857 and -0.4?\nAnswer: -2.9135428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 10:34 AM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/40 and (105\/100)\/((-12)\/(-45))?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 2*d - 378 = 0, -y + 170 = 3*d - 27. Let s(t) = 7*t**2 + 4*t - 4. Let g be s(4). Let b = y - g. Does 33 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10989451702499 from -5.\nAnswer: -10989451702504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 49948845521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -101.111807 rounded to 2 dps?\nAnswer: -101.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-5)\/5)\/(473\/2). Let t = 1435\/3784 + f. Let o = 77\/6 - 997\/66. Find the common denominator of o and t.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 - (26 + (-21 - -3) - -36).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x - 1. Let a(m) = m**2 - 5*m - 6. Let u be a(6). Let k be j(u). Suppose 2*b + 7 = -i, 3*i - 8*i + 3*b = -17. Sort -3, i, k.\nAnswer: -3, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (35 + -29)\/(5 - 58\/6)\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -546\/589 - -32\/31. Let i be 415\/332 + 10\/(-8). Let n = -0.13 - 0.27. Which is the nearest to i? (a) n (b) l (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 + -23.5. What is the closest to 3 in -4, -2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42595, -85183, -127763, -170335, -212899, -255455, -298003?\nAnswer: -340543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1456 = -8811*z + 8839*z for z.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1040*z - 791*z - 6001896 = 0. Does 72 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 0 - 8 + 6*k - 2*k**3 - 56 + 10*k**2 + 0*k**3. Let t(z) = -4*z**3 + 18*z**2 + 11*z - 129. Let u(w) = 11*r(w) - 6*t(w). Differentiate u(b) wrt b.\nAnswer: 6*b**2 + 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -148 - -272. Does 23 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -142 + 143. Which is greater: 9\/7 or b?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*v - 5*v + 3*v)*(1390 + 4106 + 8102 + 13214 - 2010) in the form j + r*v and give r.\nAnswer: -49604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 5\/8 (b) 2\/7 (c) -0.05233\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 11453 (base 6) to base 7\nAnswer: 4632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 272*k**2 + 85*k. Let j = 63 - 59. Let f(m) = -13*m**2 - 4*m. Calculate j*q(g) + 85*f(g).\nAnswer: -17*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 26*q + 149. Give r(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 592843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-36)\/(-15))\/((-1164)\/(-6)). Let p = -1\/1251396498 + 11711402694071\/1820781904590. Let g = u + p. Find the common denominator of -53\/7 and g.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*l)*(0*l - 2*l + l) - 202*l + 202*l + 45*l**2.\nAnswer: 47*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j + 6*j + 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + 13\/(-3))*15. Let q be u\/(-18) - (-2)\/9. Let s be (-12 - -5 - -11) + (-42)\/12. Which is the third smallest value? (a) 2\/15 (b) -4 (c) q (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -196 + 198. Let -567*r + 254 - 51*r**f - 108*r - 879 - r**3 = 0. What is r?\nAnswer: -25, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 48*u - 107. Let p be r(2). Which is the fourth biggest value? (a) p (b) -1 (c) -0.1 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 4*o - 1679, -3*o + w = -5*o + 857. Suppose 2*t + 0*t = o. Suppose i + t = j + 26, 3*j + 2*i = 576. What is j rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -3334 (b) 1\/5 (c) -0.9 (d) -0.0436\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - z + 8, 6*t = 8*t + 5*z - 23. Let f be (4\/(-6))\/(10\/(-6)). Is t at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ub when two letters picked without replacement from bpwmwuw.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (405\/(-25) - -16)*2\/4. What is the second biggest value in k, -3\/2, -1\/3, -2\/7, -0.7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3 - 22350*b**2 + 120666657*b + 47481892208.\nAnswer: (b - 11359)**2*(b + 368)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 9, o: 9}. What is prob of sequence uu?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*g**2 - 28*g + g**3 - 15*g**2 + 29*g**2 + 42*g**2 - 95*g**2.\nAnswer: g**3 - 28*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 - 21.5. Let i be ((-6)\/(-10))\/((143\/(-65))\/11). What is the second smallest value in i, 3\/4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(-3))\/((-4)\/(-36)). Let f be (-5 - -10)*(10 + -1). Let d be (-10)\/f + 4\/18. Put d, c, 2 in descending order.\nAnswer: c, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 39\/8 - (-7)\/56. Suppose 2*n - w = -3 + 2, -4*n + 5 = h*w. Which is the closest to n? (a) 0.5 (b) 2\/9 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20701 + 20767 - 41468 - 4*o**2 + o**2.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40133, 80280, 120427, 160574, 200721, 240868?\nAnswer: 281015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 10*k**3\/3 - 5*k**2\/2 + 6. What is the second derivative of i(r) wrt r?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 - 13. Suppose -m = -5*s - q, 0 = 4*m + 3*s - 11 - 6. Suppose 0*b - 12 = -4*b. Solve -2*n - 5*d = 16, -b*n - m*d - 6 = 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 52*z**2 - 1414*z - 854. What is d(-72)?\nAnswer: -2726","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h - 7 + 2*h - 3 + 10.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72833.\nAnswer: 173, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 33*t**2 + 28656*t - 28658. Give a(1).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 33 = 8*t - 43, 57*g + t = 50*g + 3*t + 74 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t - t + 6*t - 138*t**2 + 0*t + 136*t**2 - 5322 as x*t + i*t**2 + k and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2))**(-8))**(7\/12) assuming j is positive.\nAnswer: j**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + u**2. Let k be o(0). Let z(m) = -m**3 - m + k*m**3 + 2 - 1 - 6*m**2. Let w be z(-6). Solve -2*i + 10 = -0*i + t, i = -t + w for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 - ((-1 - -1 - 10) + (-2981 - -2981)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*c**2 + 1821*c - 44*c**2 + c**3.\nAnswer: c**3 + 1821*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2673*k + 354*k - 1328*k - 120*k + (3*k - k - k)*(-6 + 4 + 0).\nAnswer: -3769*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 86*i - 118. Let m be p(-4). Which is smaller: -463 or m?\nAnswer: -463","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - h**2 + h + 12. Let f be c(0). Let r = f + -10. Let i = 41 - 15. Calculate the smallest common multiple of i and r.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + v = -5*q + 722, 2*v - 292 = -2*q. Suppose 0 = -3*r - r - q. Let n = r - -93. What are the prime factors of n?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 149*j = 142*j + 52, 0 = -4*j + 36. Put -3, -13, x, 14 in decreasing order.\nAnswer: 14, -3, x, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 16 + 6 = 2*h, -4*x + 15 = -3*h for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -r**5\/20 + 11*r**4\/12 + 7*r**3\/3 - 4*r**2 + 2*r. Suppose v = -3*v + 24. What is the remainder when g(12) is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g**3 + 5140086*g**2 + 5*g + 1125970808 wrt g.\nAnswer: 3*g**2 + 10280172*g + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 + 4 = -7*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1 + -1 - (-534)\/144 and -11 - (-2 - 222\/9).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 at least as big as -441.54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 5:52 AM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of -29*v**6\/60 - v**4\/8 - v**3\/6 + 3*v**2 + 2*v. What is the second derivative of f(l) wrt l?\nAnswer: -348*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 146 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/178 and 7\/22?\nAnswer: 1958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**2 + 33*g + 38*g - 71*g.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 + -15. Let s = -10 + w. What is the nearest to 0.1 in -0.3, s, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 11.2. Sort f, -3, 4\/7, 0 in ascending order.\nAnswer: -3, f, 0, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 0. Let m = 1 - u. Let o = -0.1 + m. Which is the nearest to o? (a) 2 (b) -0.1 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1034\/7 + 148. Let g = -0.1291 + 2.1291. Which is the nearest to -1\/4? (a) g (b) q (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 70 = -60, 5*o = -2*h + 360. What is the remainder when 150 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*u**2 - 366063351*u + 366063351*u.\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 y when two letters picked without replacement from mmsyya?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 16\/80*-15*7\/294\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v - 3*v + 0*v**2 - v**2 - v**2.\nAnswer: -2*v*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8112*q**2 - 11628*q + 358376477.\nAnswer: 16224*q - 11628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 123334691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(3\/7)\/(s\/(s\/s**(-1\/7))))\/((s*s**1\/s)\/s)**12)\/(((s*s**(-2\/27))\/s*s*s**(2\/15))\/(s\/s**(-1))**49) assuming s is positive.\nAnswer: s**(92149\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*g = 0. Suppose 4*q + 8 + 40 = g. Let s be 3 - (-39)\/q - -1. Is s greater than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 556 is divided by 464?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of k**4\/6 + 268*k**3\/3 + 17956*k**2 + k + 35. Factor d(i).\nAnswer: 2*(i + 134)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1068*i = 473*i + 471*i - 7192 for i.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12 and -4532630?\nAnswer: 54391560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a27 - -181?\nAnswer: 10a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v\/(v**(-4\/11)*v)*v\/(v\/((v*v\/(v\/(v\/(v\/v**(1\/4))*v)))\/v)*v*v)*(v\/v**(10\/3))**(-3) assuming v is positive.\nAnswer: v**(335\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 2*b**2 + 7*b**2 - b**2 - 6*b**2 - 2*b - 2*b**3 to the form y*b**3 + l*b + q + j*b**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2928\/1111 or -2?\nAnswer: -2928\/1111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 20, 187, 606, 1403, 2704?\n\"Answer: 21*m**3 + 20*m - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 34\/20 + (-2)\/10. Let y = -707 - -712. Sort -0.4, y, h in ascending order.\nAnswer: -0.4, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1331131 + 104?\nAnswer: 1331235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 9*r**2 - 10. Let l be v(8). Let k = 53 - l. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 5:39 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/14 + 195\/(-21). Let h be ((-96)\/s)\/((-1)\/(-15)). Let a = -295 - -315. What is the highest common factor of a and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + -2 + 12 + (3 - -12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 10, i: 4}. Give prob of picking 1 h and 1 i.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 2*q + 14. Let t(b) = -b + 5. Let z(o) = -8*t(o) + 3*u(o). Let w = 2310 + -1650. Let g = w + -662. Determine z(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2006892796.\nAnswer: 2, 229, 241, 9091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32 + (-130)\/(-4))*-30?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 7*o + 5*m + 20, 3*o = 3*m - 36. Let l = o + 17. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 2 + (0 - -1)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7781966 millilitres in litres?\nAnswer: 0.0007781966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 3:42 PM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2308*m - 466*m + 765*m + 362*m in the form j + a*m and give a.\nAnswer: 2969","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 21326522 (base 7) to base 14\nAnswer: 356149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z**3 - 13*z**2 - 110*z - 2. Calculate g(-8).\nAnswer: -2002","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25564480 rounded to the nearest one million?\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 2 (b) 3 (c) -181\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 1:03 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*x + 9*x + 4*x)*(-2*x**2 + 4*x**2 - x**2).\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 10*s**2 - 14*s + 512. What is the thousands digit of t(33)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -5*g**2 - 13*g + 4. Let h(a) = 4*a**2 + 12*a - 3. Give 3*f(u) + 4*h(u).\nAnswer: u**2 + 9*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**2 - 2280*j - 22603. Determine m(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2511\/15 - (-7)\/(105\/(-6)).\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-111 - ((0 - 180\/(-12)) + (1 - 28))?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -3 - (-4 + (-1 - -2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 11011110?\nAnswer: -11011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -0.0020043.\nAnswer: 0.0020043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 31 + -415?\nAnswer: -384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 182949 to the power of 1\/2, to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1655371\/161500 - -1\/40375. Calculate the common denominator of n and 86\/4215.\nAnswer: 16860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 744.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -1. Suppose g = -0*o - 3*o. Let q = -25 + 28. What is the closest to 0.2 in 2\/11, o, q?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of u**3\/3 - u. Let b(j) be the second derivative of -j**4\/12 + 2*j. Calculate b(a(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 + 6*o + 29. Calculate t(-8).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -62381 or -374285\/6?\nAnswer: -62381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.2280489 to 1 decimal place.\nAnswer: -14.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 534 is divided by 34.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3003 and 14469?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -20378*z**2. Let d(i) = i. What is d(y(o))?\nAnswer: -20378*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 9910985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -1278*k**2. Let v(s) = -4*s. Determine f(v(q)).\nAnswer: -20448*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 610 divide 20787178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -16152 (base 8) to base 11\nAnswer: -5513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-170)\/45 + (-29)\/9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199902\/127 less than or equal to 1574?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3000739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*b**4 + 193813*b**3*v**2 + 2*v**2 + 245*v - 331 with respect to b.\nAnswer: 12*b**3 + 581439*b**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1792*f**3 + f**2 - 2536 wrt f.\nAnswer: 5376*f**2 + 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.6 + -1.6. Let n = u - 0. Do n and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3294680472.936283003 + 26695070676.936283833. Let m = 23400390306 - q. Let d = m + -102. What is d rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a hour in seconds?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s and 1 a when four letters picked without replacement from aaassaaasaasaaasaaaa.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - -87. Let b be (-6 + 2)*l\/4. Let h = 118 + b. What is the smallest common multiple of 12 and h?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1406 - 1392.06. Let o = 2 + 11. Let c = o - k. Round c to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k + 10. Let t be m(-7). Suppose 2*j = -j - t*n + 1503, 3*j = 5*n + 1535. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c - r - 17 = -14*c, 0 = -c + 3*r + 9. Solve 5*z + c*f + 17 = -0*z, 0 = -4*z + f for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -36*u**2 - 7*u + 1. Let r(m) = -9*m**2 - 2*m. What is -9*r(a) + 2*y(a)?\nAnswer: 9*a**2 + 4*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dclk when four letters picked without replacement from lcdkdqhl?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 23*q - 7739 = -6884 for q.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 7*v - 6. Let q(d) be the second derivative of -d**4\/12 + 7*d**3\/6 + 5*d**2 - 4*d. Let z be q(7). What is the units digit of k(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 7*m - 15. Let l(k) be the second derivative of -k**4\/12 - k**2\/2 + 8948*k. Let d(q) = -4*q**2 - 3*q - 3. Determine m*l(j) + d(j).\nAnswer: -j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.245502 millilitres in litres?\nAnswer: 0.006245502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 272?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 1. Let f(l) = l - 2. Let s(a) = 4*a - 7. Let c(y) = 6*f(y) - 2*s(y). Suppose -2 = 2*q - 0. Calculate q*c(m) - t(m).\nAnswer: 2*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -13791717.\nAnswer: -8\/13791717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69969025?\nAnswer: 5, 7, 17, 29, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.163 + 67.837. Let k = -74 + t. Let p = 29 - 28. What is the closest to -1\/3 in k, 2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 243, 17 in descending order.\nAnswer: 243, 17, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(63\/(-6)))\/((-6)\/(-27))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 179 = -3*l - p, -4*p = 2*l + 86. Let f = 16 - l. Suppose 5*q + 5*h = 435, q - f - 20 = 3*h. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83664981?\nAnswer: 3, 1032901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (-25 + 3)) + -24?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oqooooooooqooooooq. What is prob of picking 2 o?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 224 and 8\/(3*(-9)\/(-378)).\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -5.5. Suppose 20 = -3*x + 5*t, -4*x + 17 = 5*t - 3. Which is the closest to -0.1? (a) x (b) q (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*s + 14*s - 4*s + 18*s - 2*s.\nAnswer: 43*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 47609334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1143*w + 1157*w = -140 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1897682.\nAnswer: 2, 19, 49939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/3 (b) 41 (c) -1 (d) 2.2 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*h - 5449 - 2195. Is h equal to -637?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**3 - 13540*v**2 - 40665*v.\nAnswer: 5*v*(v - 2711)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126)*-3)\/sqrt(7))**2 - (sqrt(36)\/(sqrt(8)\/sqrt(4)) + sqrt(18)).\nAnswer: -6*sqrt(2) + 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence grll when four letters picked without replacement from rrlgryllgl.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -3*w + 5, -w = -3*h - 5*w + 15. What is the third smallest value in 2\/5, h, 0.1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137688489?\nAnswer: 3, 1093, 13997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x. Let r(b) be the third derivative of b**4\/24 + 73*b**3 + 1241*b**2. What is r(k(v))?\nAnswer: 2*v + 438","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -75 - -535. Does 46 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f + 7. Let j be z(-6). Suppose j*x - 4 = 12*x. Let q be (5\/x)\/((-10)\/(-40)). Solve -10 = q*c - 0*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 9*p**2 + 8*p + 19. Let w be f(8). Calculate the highest common factor of w and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 112036.7nm?\nAnswer: 0.0001120367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -436 - 678. List the prime factors of z.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -21*o - 80, -1219169*o + 1219165*o + s - 20 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 16, 0*w - 41 = -5*w - 4*j. Suppose -w*t - 4 = -7*t. Solve -n - 1 = -t*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3123986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -0.4 (b) 5 (c) -5 (d) -6336 (e) 2 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3d8 - 5e?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*p = -28*p + 43. Suppose 2*y = 3*u + y - p, -4*u + 58 = -y. What is u rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**3*x*z**3 - 635*c**3*x*z + 10111*c**3*z**3 - 2*c*z**2 + 4*x*z + z**3 - z**2 wrt z?\nAnswer: 6*c**3*x + 60666*c**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 74682106 a multiple of 3221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001403831436 to 7 dps.\nAnswer: 0.0014038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + 33*p - 267. Give c(19).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x - x**3 - x + (166 + 48*x - 166)*(2*x**2 + 0*x**2 + 0*x**2) to i*x**2 + j*x**3 + b + k*x and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 13*q**3 - 5*q**2 - 2*q + 25. Let g be m(4). Let d = g + 101. List the prime factors of d.\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of g**5\/5 - 115*g**4\/4 + 600*g**2 + 3388. What is the second derivative of f(w) wrt w?\nAnswer: 12*w**2 - 690*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -95941, -191881, -287821?\nAnswer: -383761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 5 = 2*a + 1, 0 = -3*z + 2*a - 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-384)\/(-176)*20 + -44\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/336 and 300\/(-6912)*(14 - 4).\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.74 * -0.26\nAnswer: -0.1924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*j**3 + 727*j + 1444*j**2 - 727*j - j**4 wrt j?\nAnswer: -24*j - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -33242, -132953, -299126, -531749, -830810, -1196297, -1628198, -2126501?\n\"Answer: 2*i**3 - 33243*i**2 + 4*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1255 (base 8) in base 10?\nAnswer: -685","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0164 + -0.5164. What is the biggest value in f, 5, 160, 3?\nAnswer: 160","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -31*b**4\/6 - b**3\/3 + b**2 + 5*b. Let d be v(-3). What is d rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4099 is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1812514450?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21127 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -11742239195731+0.2\nAnswer: -11742239195730.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 14) to base 3.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.8612 - 0.0088. Let k = -0.13 + t. What is the nearest to 0 in k, -0.2, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yiusfyw. Give prob of sequence wuiy.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w - 233. Let q be k(82). Let y(r) = -8*r + 15. What is y(q)?\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 96851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1239424856?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16403\/5 - 3281. Let r be -5 - 0 - (1 + -2). Which is the nearest to 2? (a) -2 (b) r (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w**3 - 4*w**2 + 2*w + 2. Let z be n(2). Suppose z = h + 4. Let v(f) = -f + 24. Is v(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 34 - 54 = -4*g, p + 44 = 2*g. Suppose -2 = -2*m + 4*s, 4*m + 0*s - g = 2*s. Solve -m*d + 12 = -11*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/360*-5*1. What is the second smallest value in m, -1.1, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/(-2) + -8)\/(-1). Suppose 4*m - m = h - 58, -2*h - b*m = -126. What is the remainder when h is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1102131 (base 5) to base 15\nAnswer: -5996","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 2)*(-r - 4 + 4)*(0*r**3 + 2*r**3 + 0*r**3).\nAnswer: -8*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1914 and 1459338.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 17*a**2 - a - 13. Let s be -16*1\/(5\/(-10)). Let w = -49 + s. Let p be b(w). Solve -p*t + t = -12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 48.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 6:46 AM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of 0*c**5 - 352*c**2 + 0*c - 31\/105*c**7 + 1\/120*c**6 - 109\/12*c**4 + 0 + 0*c**3. What is the second derivative of y(b) wrt b?\nAnswer: -744*b**2 + 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-3\/4)\/i*i**(-3\/17) assuming i is positive.\nAnswer: i**(-131\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**3 + 56*u**2 - 2*u - 48. Determine a(-28).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5113 + 38?\nAnswer: 5151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 170 + -161. Solve -2*n = -4*y - 8, -g*n - 4*y - 10 = -10*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 20*v + 7. Let x be j(-19). Let n be x*(1 + 0 + 12\/(-8)). Solve -4*c + 14 = -n for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 PM and 2:35 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3051*m + 1380335 - 1380335 - 3088*m.\nAnswer: -37*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -55*o**2 - 112*o + 230*o - 120*o as w*o + g + a*o**2 and give a.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -s**3\/4 + 2*s**2 + s\/4 - 2 = 0.\nAnswer: -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39*(-216)\/(-468))\/(-5*(-3)\/(-20)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 84012533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -80?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (18\/(-12))\/((-6)\/(-152)*-2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 - 23 + 1411*s**3 - 17.\nAnswer: 1411*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 15*h + 244. Let f be b(-16). Let n(p) = -2*p**3 - 4*p**2 - 3*p + 3. Let d(o) = -o**3 - o**2 - o + 1. Give f*d(y) - n(y).\nAnswer: -2*y**3 - y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*o + 819, -6*o + 7*o + 407 = -8*s + 6*o - o - 29 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -2*o + 13, -a - 3*o = o - 23. Suppose a*s - 5*s + 42 = 0. List the prime factors of s.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 168 and 5256258.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (11\/22)\/((-39362)\/8). Let j = m + 1436733\/196810. Calculate the common denominator of -33\/34 and j.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 284 - 280. Suppose w*p - 312 = 52. What is the greatest common factor of p and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2225101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4 = 2*y - y, 0 = 2*y. Factor -1\/4*s**l + 0*s - 1\/4*s**2 + 1\/2*s**3 + 0.\nAnswer: -s**2*(s - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 646173 and 57459?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**4 + 30*c**3 + 24*c**2 - 192*c.\nAnswer: 3*c*(c - 2)*(c + 4)*(c + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2174735um in centimeters?\nAnswer: 0.00002174735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n - 4. Let d be x(8). Is (-3326)\/(-18) - d\/54 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**3 + b**3 - 2*b**3)*(-1 - 2*b - 2 + 9)*(-3*b + 8*b + b).\nAnswer: -24*b**5 + 72*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45439235*g**2 - 90878477*g**2 + 45439230*g**2.\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5*(-5 + (sqrt(363)\/(sqrt(44)\/sqrt(4)))\/sqrt(11)))**2.\nAnswer: -1000*sqrt(3) + 2800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (108\/(-30))\/((-62)\/155).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -1221011101010122?\nAnswer: 1221011101010211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/2*((-128)\/720)\/(-4).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -21652870 to the nearest ten thousand.\nAnswer: -21650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r + 12. Calculate z(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2145*u - 2457*u + 6685*u - 2128*u.\nAnswer: -45*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 + 45 + (-147 - -63).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 + (-112)\/(-12))*3. Let b(k) = -k**2 - 6*k - 6. Let x be b(-4). Let d be (-1)\/(x*(-2)\/52). Is h bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 119563 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g. Let t(j) = j + 1. Let n(x) = 5*x - 6. Let w(a) = n(a) + 6*t(a). What is w(y(b))?\nAnswer: -11*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r + 1 = -16*r. Calculate the remainder when 129 is divided by (-6 - 80\/(-15))\/(r\/(-39)).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23.95 + 24. Sort c, 4, 2\/11 in decreasing order.\nAnswer: 4, 2\/11, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*p**4*v**3 + 1009164*p**4 + 178*p**2*v**3 - 4*p*v**2 + 58*p - 27*v**3 wrt p?\nAnswer: 240*p*v**3 + 24219936*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -2. Suppose 3*f = 3*u + 11 + 10, -f - y*u = 13. Solve 0 = 3*k - f*r - 2, -2*k + 4*r - 12 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 59, 96, 137, 182?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.06806 to 0 decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -z**5\/20 - z**4\/2 + 7*z**3\/6 + 4*z**2 + 68*z + 62. Let s(d) be the first derivative of w(d). Give s(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -132 - -132.1. Which is the second smallest value? (a) 0.5 (b) 4\/3 (c) 29 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -35, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -c - 3*y, -4*c + 4 = -5*y - 25. Suppose 2*f = c*f - 84. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1647 (base 8) in base 9?\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14126.\nAnswer: 2, 7, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -14*f**2. Let c = 4839 - 4837. Let i(p) be the first derivative of -32 + 4\/3*p**3 + 0*p**c + 0*p. What is d(i(r))?\nAnswer: -224*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22419 - 22418. Which is the biggest value? (a) -185 (b) o (c) 5 (d) 3 (e) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 4*o + 17. Let x be u(7). Let l(b) = b**2 - 2 - b - 5*b - 2*b**2. Determine l(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -334 - -2334\/7. Sort 2\/7, g, -0.1.\nAnswer: g, -0.1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62447654 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 254, 1020, 2296, 4082, 6378?\n\"Answer: 255*c**2 + c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1591\/516 + (-1)\/12 - 0. Which is the closest to -1? (a) v (b) 1 (c) 2\/39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -72 + 108. Suppose -x = -3*g - g. Suppose -3*b + 3 = -3*f, -b + f = 2*f + g. Sort 2, b, -5 in ascending order.\nAnswer: -5, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1471445 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 + 108627*d - 1412658.\nAnswer: 3*(d - 13)*(d + 36222)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/4)*l**(-34)*l**(2\/87)\/l*l**30)**7 assuming l is positive.\nAnswer: l**(-12733\/348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 141\/4480 and -167\/48384?\nAnswer: 241920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4755 - 52*w**3 + 4755 + (3 + w - 3 + (-10 + 1 + 31)*(0 + w + 0))*(-4*w**2 + w**2 + 5*w**2).\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 - 3)*(2 - 3 + 2)*(-2*w**2 + 0*w**2 + 0*w**2 + 0 - 1 - w**2 + 11 + (2 - 2 - 2*w**2)*(2 - 1 + 0) + 0*w - w**2 + 0*w).\nAnswer: 30*w**2 - 50","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence svtm when four letters picked without replacement from mstasbtmvvamasvatatm?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 3*n + 6. Suppose 2*d + d - 18 = 0. Suppose n*b = -0*b + d. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -5*z**2\/2 - 67. Let i be s(-2). Solve -4*m - m - i = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 18885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bplz when four letters picked without replacement from zgdbgpl?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1766305835150 + 0.05.\nAnswer: 1766305835150.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75 divided by -28.\nAnswer: 75\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 5 (c) 1\/3 (d) 0.24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + -232993.806?\nAnswer: -232994.206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 5*v - 25, -5*v + v = -2*h - 20. Suppose -3*l - 3*g + 8*g - 17 = h, -5*g + 20 = 0. Solve a + l = 4 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1729, -1674, -1631, -1600, -1581, -1574?\n\"Answer: -6*j**2 + 73*j - 1796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 1346. Let o(v) = v - 2693. Give 5*b(f) + 2*o(f).\nAnswer: 2*f + 1344","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) + 1*sqrt(95)*-1 - sqrt(95))\/(sqrt(720) - 2*sqrt(720)).\nAnswer: sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 12*t**2 + 12*t + 26. Let l be d(13). Calculate the greatest common divisor of 13 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2.2 or -3?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(7\/5)*d)\/d**(-1\/4)*(d\/(d\/((((d**(-1)*d)\/d*d*d)\/d*d)\/d))*d*d)**(-1\/15))**(-3\/5) assuming d is positive.\nAnswer: d**(-151\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5*o + 4 = 3, 3*y - 3*o = 15. Let j(m) = 16*m**3 + 6*m**2 - 6. Let d(c) = 495*c**3 + 187*c**2 - 187. Give y*d(x) - 187*j(x).\nAnswer: -22*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/(-20) - 504\/(-288)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -420 at least 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4*h + 51. Let j(i) = -i - 9. Let k(x) = 3*j(x) + z(x). What is k(-16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m - 71521 = -26*m - 6196. What is the highest common factor of 200 and m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 + 56 = 75*u - 75. Solve 16 = -3*g - u*j + 13, 5*j + 14 = 4*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1134\/30)\/7 + -3. Let b be 2\/9 - (-36)\/15. Let j = d - b. What is the second biggest value in 2, j, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g**2. Let n(x) = 8*x**2 + 12. Let z(b) = 3*b**2 + 5. Let s(y) = 5*n(y) - 12*z(y). Give s(o(d)).\nAnswer: 64*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -13*n**3 - 4*n + 17. Suppose 8*y = 12*y - 16. Let b(f) = 12*f**3 + 3*f - 17. Let m(o) = y*b(o) + 3*h(o). Differentiate m(w) wrt w.\nAnswer: 27*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 1 - 4)*(0 - 3 + 2)*(1 - 1 - 2*l)*(-7*l**2 - 4*l**3 + 7*l**2) to z*l + i + u*l**2 + p*l**3 + y*l**4 and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 322248 and 11252.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 11*z - 18 = -9*z, -40 = -5*k + 5*z. Which is smaller: 6\/6227 or k?\nAnswer: 6\/6227","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qauauovauviviauavoqa. What is prob of sequence aqu?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 10021 = -4*k, 5*k + 23 = 3. Is 13 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 29*a = 27*a + 36, -3*a = -4*n + 65. Calculate the lowest common multiple of 94 and n.\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -3*h. Suppose -5*u + 0*u + 5*r + 10 = 0, 4*r = h. Solve -4*t + 5*q = -4, 3*t - u*q = -4*q + 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3 + q + 4 + 10 + 0. Calculate the remainder when t(6) is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*a + 4788 - 2337 + 5*a**2 - 2157 + 3*a + a**2 - 3*a + (0*a - 4*a + 6*a)*(0 + 0 + 2*a).\nAnswer: 10*a**2 - 19*a + 294","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -452678459 rounded to the nearest 100000?\nAnswer: -452700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45 - 497\/11. Let n = 0.02 + -0.02. Let b = n - -0.2. What is the closest to -1 in q, b, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 1175*z**2. Let s(l) = l. Calculate c(s(j)).\nAnswer: 1175*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1103*t**4 + 1127*t**2 - 2*t?\nAnswer: 26472*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000015175 to six decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 6) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -7*d**2 + 1054*d - 2110. Let n(r) = 16*r**2 - 2107*r + 4215. Let j(l) = 13*i(l) + 6*n(l). Factor j(h).\nAnswer: 5*(h - 2)*(h + 214)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25.3 + -76.7. Let v = -101.5 - s. Put v, -3\/8, -1\/6, -4\/5 in increasing order.\nAnswer: -4\/5, -3\/8, -1\/6, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 56*g**4 + 15*g**2 - 18*g + 105 wrt g.\nAnswer: 672*g**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*s - 4*b, -5*s - 4*b + 42 = -7*b. Solve n - 3*d + s = -3*n, n = 2*d + 1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9234 and 3192.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5*478.8\nAnswer: -2394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence okk when three letters picked without replacement from ookkkk.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14399746, 14399741, 14399734, 14399725, 14399714, 14399701?\nAnswer: 14399686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 149242370 - -10.\nAnswer: 149242380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 154.0665 + -154. Round l to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6*(-30)\/(-18) + (-1 - 0). Suppose o*c = -6 - 48. Let m be ((-5)\/85)\/(2\/(-2 - c)). Which is bigger: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9617.\nAnswer: 59, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffnffffflnfffff. What is prob of sequence ffn?\nAnswer: 91\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5*w**2 - 762*w - 9. Let f(h) = -h**2 - 2*h + 3. Give 4*f(c) + t(c).\nAnswer: c**2 - 770*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -96 - 319 + 27 - 103 - 34*s + 1 with respect to s.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 2, -5*w + 8995 = 77*i - 72*i. List the prime factors of w.\nAnswer: 3, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 10. Let j be (-4)\/m - (-98155)\/19236. Let y = j + 15\/916. Find the common denominator of 33\/8 and y.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 3:02 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1095949*c**4 + 1220*c**2 + c + 2 wrt c.\nAnswer: 26302776*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 112, 111, 116, 133, 168, 227, 316?\nAnswer: 441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 11 = -z, -5*f + 4*z + z = -20. Suppose -2*y = 3*n - 616, 3*y + y = f*n + 1214. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.6528041l?\nAnswer: 652.8041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -270*i**2 - 35 + 178*i**2 - 39 + 131*i**2 + 74.\nAnswer: 39*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2163 - -2166. Which is the closest to -7? (a) 0 (b) f (c) -3 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -476 - -711. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 715447.6 years to centuries.\nAnswer: 7154.476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 2*c - 29 - 9, -3*u = -c - 63. Calculate the lowest common multiple of u and 54.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5.219091ms?\nAnswer: 0.005219091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105 and 2662100?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 780\/(-80)*16\/(-6). Suppose -l*f + 12*f = -135. What is the smallest common multiple of f and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2537921 is divided by 2537899?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 3:18 AM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10, -2, 18\/13, -5?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, e: 16}. Give prob of picking 4 e.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -154 + -58 + 102 + (20 - (-5 - -7)).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-33 + 3 + 0)*(-2)\/(-4). Let a be (-3)\/(v\/(-10)) - 32\/(-14). What is the fourth biggest value in a, -3, 2, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13133 + 2203?\nAnswer: 22002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**3 + 12676*s + 12282*s - 24958*s.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(-5) - (-1 + -3). Is 55922\/1*y\/12 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 18 + 1300*d**2 - 19 - 13 - 16 + 82.\nAnswer: 1300*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-2\/29)*c)\/c**(2\/65) assuming c is positive.\nAnswer: c**(3842\/1885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2 + 1653982674*b + 227971557157682523.\nAnswer: 3*(b + 275663779)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 887069?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -502 divided by -4?\nAnswer: 251\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 79*l = -156. Let n be (-1)\/4 - 1\/(-4). Suppose l*c = -n*c. Solve 2*m = 2 - c for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.328 + 94.828. Let t = p - 95. Suppose -4 = -r - 4*q, 5*r + 0*q + 4*q = 4. Which is the second smallest value? (a) 8 (b) r (c) t (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5130143 + 224?\nAnswer: 5130367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*j - 153*j + 51646 = -53*j + 913*j for j.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1452 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1028, 2052, 3074, 4094, 5112, 6128?\nAnswer: 7142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1477 = -4*y + 5*h + 4116, 5*y = -2*h + 3340. Calculate the least common multiple of y and 370.\nAnswer: 3330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 52211.2ng?\nAnswer: 0.0000000000522112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c**4 - 2*c - 3*c**2 + 9*c**2 + c**4 + 20 + 157439*c**3 - 157441*c**3 as j + n*c + y*c**3 + z*c**2 + p*c**4 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 0.1, -2, 1\/4, -1\/428?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -6647*n**2. Let x(r) = r**2 - 142*r. Let y(p) = p**2 - 71*p. Let t(b) = -x(b) + 2*y(b). Determine t(d(l)).\nAnswer: 44182609*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124 - 3*g + 124 + 0*g + 5*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 7*m**2 + 8*m + 6. Let r be w(8). Let q = r + -6. Suppose -20 = -q*t - 4*t. Sort t, 2, 4 in increasing order.\nAnswer: 2, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*r - 89*r + 126*r = -115*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2395350 divided by -53230.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*s - 0*s. Let p(o) = o**2 - 5*o + 3. Let a be p(4). Let c be -10*(-2)\/(-14) - a. What is the closest to -2\/3 in -2\/7, s, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xgc when three letters picked without replacement from ggxkcxxkxgfpgfkxxxkx?\nAnswer: 4\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qbnqnrndddbqboqr. What is prob of picking 1 r, 1 n, and 1 b?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + -1 - (29 - 55)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -570953*x**3*z - 27914*x**3 + 6*x**2 with respect to z.\nAnswer: -570953*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 489 a factor of 7506639?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/4 + 143\/(-22). Let p be (6\/h)\/((-3)\/(-33)). Let y(v) = -2*v - 16. Let j be y(p). Solve 2*t = j*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 4*z = 9. Let g = -12 + 23. Suppose -z*h = -1 - g. Calculate the remainder when h is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*o**2 + 0*o**2 + 3*o**2)*(2 - 3 + 2) + 0 - 2*o**2 + 0 - 140*o - 28*o**2 + 140*o in the form d*o + i + g*o**2 and give g.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -24581, -24459, -24263, -23999, -23673, -23291?\n\"Answer: -a**3 + 43*a**2 - 24623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(27) - sqrt(432)) - sqrt(27) - (1*sqrt(2700))**2 - -1*2*sqrt(108)*5.\nAnswer: -2704 + 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*u + 87*u + 51*u - 9*u as f + x*u and give x.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from yfggfnggr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1757 (b) -11 (c) 5\/4 (d) 2\/37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8018.026 + 46214.\nAnswer: 38195.974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -m**2\/7 - 9589*m\/7 + 38372\/7 = 0.\nAnswer: -9593, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - 5*t - 2. Let m be q(-3). Suppose 0 = -j - 5*v + 46, -3*v = -2*v. Let f = j - 24. Solve 5*y + f = -l, 2*l - m = 5*y + 12 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -16*k - 11. Is g(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c*g*k*r + 4*c*g*r + 80*c*g + c*k*r + 58*g*k*r with respect to c.\nAnswer: -2*g*k*r + 4*g*r + 80*g + k*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 63*r - 37 + 13 + 14 to the form s*r + c and give s.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-268 + 46 - 17 - 29)*(2*j - 34 + 6*j**2 + 34) + 3*j**2 - 3*j**2 + 3*j**2.\nAnswer: -1605*j**2 - 536*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5488?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/22 and -43\/8162.\nAnswer: 8162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 643130.6g in micrograms?\nAnswer: 643130600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -62290876*b**3 + 2189660*b**2 + 2 wrt b.\nAnswer: -373745256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*a = -38*a - 36 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 3*r, q = -0*q + 2*r. Suppose 0 = 5*d - 7 - 28. Let z = d + -5. Solve -z*u - 2*u = q for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**4 + 2*u**4 - u**4 + (u - 1 + 1)*(-8*u**3 + 7 - 7) - u**4 + 2*u - 2*u.\nAnswer: -7*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 13115331500?\nAnswer: 13115331452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 123 + -114. Suppose -c*s + 4*s = -690. List the prime factors of s.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 295180534.\nAnswer: 2, 11, 1327, 10111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207 + 35 = -24*h + 116 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 244909000 to the nearest 100000.\nAnswer: 244900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, 6, -1\/2, 5, -1\/20 in decreasing order.\nAnswer: 6, 5, -1\/20, -1\/2, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 8592 - 8620 = -4*r, -3*s + 3*r = 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17555 - -17552.3. Put -1\/12, 5, -4, w, -1 in decreasing order.\nAnswer: 5, -1\/12, -1, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 373447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1074 less than -0.379?\nAnswer: 1073.621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 16 = 4*v. Let q(c) = c**3 + 5*c**2 + 3*c - 4. Let y be q(-3). Let h = y + v. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 109.5, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -927*m + 10200. Let n be u(11). Which is the closest to 2\/11? (a) 4\/5 (b) -2\/9 (c) n (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-50524)\/(-6) - 7\/(-21)*1. Differentiate 8*i - 172 + i**4 - f*i**2 + 8421*i**2 wrt i.\nAnswer: 4*i**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -a56d5d3?\nAnswer: -a56d5ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -142479*k**2*o**2 + 146159675*k**2 - 68*k*o**2 with respect to o.\nAnswer: -284958*k**2*o - 136*k*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f - 7*i - 499, 652*f - 651*f - 146*i = -151*i - 107 for f.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -98 - -96. Which is the closest to -2.8? (a) 0.2 (b) 5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 + -320. Let h = -194 - s. What is the remainder when h is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from euuuuuuupneeuoupu. Give prob of sequence eun.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qodo when four letters picked without replacement from odqqjoqdoqqj?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 615 is divided by 318.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from -25607312.57.\nAnswer: -25607308.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19.89, 2\/93, -1, -0.4.\nAnswer: -1, -0.4, 2\/93, 19.89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.079 + 0.0513.\nAnswer: 0.1303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.08 + -0.08. Suppose -11*h - 4*l = -6*h - 11, h + 4*l = -1. Let f be 56\/(-12) - (4 + (-6 - h)). Which is the nearest to t? (a) 1 (b) 1\/5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**4\/7 + 12*n**3\/7 - 30*n**2\/7 + 16*n\/7 = 0.\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of i**4\/12 + 28106*i. Let q(y) = 2 + 151*y**2 - 2. What is a(q(k))?\nAnswer: 22801*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48720 is divided by 24356.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 243 or -1783?\nAnswer: -1783","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -3\/325, -3.8, 2, -19?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 > -73\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-5))**2*y**(-13)\/y**13 assuming y is positive.\nAnswer: y**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 0.471868, 4?\nAnswer: 0.471868","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11323130002 (base 4) in base 2?\nAnswer: 101111011011100000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, -5, -2\/659?\nAnswer: -2\/659","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7\/8 of a second?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.453 - 38.253. Let d = x - -36.1. Are d and -15 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 4 = 5*g. Suppose 2*l = 12 - g. Suppose -w + 8 = 4*w - 4*z, 3*w - l*z = 0. Which is the second biggest value? (a) w (b) -2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 4*u - 12 = 3*u - 28*w + 31*w, -53 = 9*u - 8*w for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224*k + 790*k - 107030 = 203*k - 1583*k for k.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2323 - -1123120110?\nAnswer: 1123123033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2243 (base 5) to base 9.\nAnswer: -388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 2*i + 0*i)*(i + 0*i - 4*i)*(-6 + 6 - 4).\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v + 5. Let z be k(3). Let m be 20\/(-50) + 4\/10. Suppose 0 = -l - 4*l - b, m = -z*l + 4*b. Solve g + 0*g = l for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of l**5\/15 - l**4\/12 - 5*l**3\/3 - l**2 - 5*l. Let h be y(2). Solve -b = p, -3*p - h*p = -b for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n + 18. Calculate u(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 273573 and 107915?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/120 in 0.7, -2, -4, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 d when four letters picked without replacement from {d: 4, q: 2, r: 2, p: 1, n: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - t - 25 + 10, 0 = w + 3*t + 6. Solve -i - 17 = w*f, -2*f + 0 = 2*i + 14 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 143 = 3*j - 141, 0 = t - 5*j + 6 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 777748*c. Let x(m) = 103*m**2. Give x(u(b)).\nAnswer: 62303871004912*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ulluell. Give prob of picking 1 u and 1 e.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25914042 and 114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**3 + 107*s**2 - 163*s - 193. Is d(48) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/39032 and -119\/18?\nAnswer: 351288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 5*q + 20, l + 5*q - 30 = -10. Solve 5*w - 5 = -l for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i**3 + 6*i - 4292933*i**2 + 97*i**4 + 4292933*i**2 to s*i + n*i**4 + m*i**2 + x*i**3 + l and give n.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from offfolfl. What is prob of sequence ffl?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-10 + 80 + (20 - 28) - -2) + 19\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 6*u = -u. Suppose -3*x + 4*x + 4 = u. Let q(r) = -r**2 - 4. Determine q(x).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4181357561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*m + 8*m - 6*m in the form o*m + g and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*b = -18*b + 8*b. Let q(u) be the first derivative of 0*u**2 + 1\/3*u**3 + 0*u**5 + 6 + b*u - u**6 + 0*u**4. Find the third derivative of q(h) wrt h.\nAnswer: -360*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00047933832 to 5 decimal places.\nAnswer: -0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -9*s**2. Let o(k) = -1721*k. Determine x(o(w)).\nAnswer: -26656569*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 9 + -29 + 3.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -7*n + 5*q, 28011910 = -n + 2*q + q + 28011921 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/((-228)\/(-2)))\/((-230)\/(-230)).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2132599338 a multiple of 256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63 - 46 - (6 - 3).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45 + -42. What is the second derivative of -l**z + 4*l**3 + 8*l + 5*l**5 - 3*l**3 wrt l?\nAnswer: 100*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/2486 and 21\/64636?\nAnswer: 64636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2875 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 211210 (base 3) to base 8\nAnswer: 1147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i*i**0*i*i*i*i**(-3))\/(i**1*i*i**(2\/7)))\/(((i**(-6)\/i)\/(i**(-5)\/i))\/((i*(i**(-4)\/i)\/i)\/i**(2\/5))) assuming i is positive.\nAnswer: i**(-129\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 11*s - 5. Let r(n) = -2. Determine -r(p) + v(p).\nAnswer: 11*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -17 + -15715\nAnswer: -15732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -88 + 256. Suppose -25 = 5*f, -m = -3*k - 0*f - 3*f. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i = -3*k - 32, -2916*k = -2*i - 2993*k - 8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - p**2 - p + 2. Let c be m(-2). Solve 2 = 2*t + c for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 497, -26, 5, 2 in decreasing order.\nAnswer: 497, 5, 3, 2, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 71\/2 or 7\/3?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 2*l + 26 = -0*l, -12 = 4*l. What is the greatest common factor of 104 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -1023011?\nAnswer: 1023000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 135*h**2 + 11*h - 9. What are the prime factors of m(2)?\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l + 133 = 664. Is 62 less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 52358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 174024 and 4510122?\nAnswer: 54121464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.3 + -2.1. Round r to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**4 + 5*o**4 - 2*o**4 + (0*o**2 - o**2 - 2*o**2)*(o**2 - o + o) - o**4 - 2*o + 2*o - 1 - o**4 + 1 + 4*o**4 - 3*o**4 + 2*o**4.\nAnswer: -o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i - i + 237 = 55. Calculate the greatest common factor of 31934 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 1:24 AM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2434 and 315726310.\nAnswer: 2434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-2)*((-231)\/(-35))\/11?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 27 + (-1 - 8 - 0) - (-156 - -147)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 641 (base 11) to base 3\nAnswer: 1001120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rquyannrq. Give prob of picking 1 n and 1 y.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 597\/(-54) + 2\/12. Which is bigger: d or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 387011737 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-9\/4)*y**3*y)**(11\/2)\/((y*y\/y**(-6))\/(((y*(y\/(y\/y**(-4)))\/y)\/y)\/y*y)*(y**0)**(5\/4)) assuming y is positive.\nAnswer: y**(215\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = m - 51. Suppose -3*q = m + 31. Let v = q - -39. What is the remainder when v is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-53)\/(-265) + (-62)\/60?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -145 - -214. Suppose -4*s + 195 + j = 0. Suppose s + 64 = 5*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -15*z**2 + 4194*z - 2403. What is v(280)?\nAnswer: -4083","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -11*i**2 - 4*i + 4. Let y(d) = 133*d**2 + 49*d - 49. Let v be 6\/24 + 13\/(-4) + 7. What is v*y(u) + 49*k(u)?\nAnswer: -7*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19813*a - 80333*a - 69 - 382476*a.\nAnswer: -442996*a - 69","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h + 24 = -3*m, -82*m + 36*m + 515 = 5*h - 41*m + 510 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1856738797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1132013033 (base 4) in base 13?\nAnswer: 1065cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61650950 is divided by 145.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 62352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 166387560 by 11092504.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**3 + 10*g**2 - 4*g - 16. Let f be r(-5). What is the greatest common factor of 10 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300) + 3)*4 - sqrt(1300))**2*2.\nAnswer: 1440*sqrt(13) + 23688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -3. Let o(r) = -r**2 + r + 9. Suppose -5*u + 125 = -0*u. What is the remainder when u is divided by o(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -28 (b) -4 (c) 3 (d) 2 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 106 + -bd670?\nAnswer: -bd568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -143 (base 7) in base 13?\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**2 + 156*d - 3042 = 0?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.039 - 0.161. Suppose -4 - 15 = 5*t - 4*h, 2*h - 8 = 2*t. What is the second smallest value in r, t, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -9*n + 28. Let u(f) = f**2 - 17*f + 56. Let w = 346 - 351. Let b(d) = w*g(d) + 2*u(d). Find the first derivative of b(j) wrt j.\nAnswer: 4*j + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*w**2 + 0*w**2 - 5*w**2)*(-2 + 4*w + 2) to v + x*w**3 + f*w**2 + y*w and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/17, -7, -6018, -3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 812858*p = 812978*p - 8400 for p.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89142.3827915 - 0.02.\nAnswer: 89142.3627915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 11614500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of 29*y**3 - 2240. Let o(l) = 11*l. Determine h(o(s)).\nAnswer: 10527*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*m - 10 + 14 - 4. Sort m, -3, 20, 4.\nAnswer: -3, m, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*d**3*j - 2*d**3 + 67*d**2 - 105*j - 4 wrt d.\nAnswer: -9*d**2*j - 6*d**2 + 134*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -427 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 125*t**5 + 22725*t**4 + 1278995*t**3 + 21022695*t**2 + 16210040*t + 3201660 = 0.\nAnswer: -77, -27, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*w + 128 - 314 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 235, 385, 465, 481, 439, 345, 205?\n\"Answer: r**3 - 41*r**2 + 266*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39 - 31. Suppose -4*t + t = r*t. Solve -4*s - 12 = -t*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3175610 rounded to the nearest one hundred thousand?\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 118343 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-5\/2)*c)\/(c*c*c*c\/c**(-2)))\/((c*c**(-10))\/(c\/(c\/(c*c**(-7)\/c))*c*c)) assuming c is positive.\nAnswer: c**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + (-3 - -3)\/(-3). Suppose -2*x + p = -2. Let b = 22 - 12. Calculate the lowest common multiple of x and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 + 12 + -6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37 + -14. Find the third derivative of -23*b**3 - 43*b**3 - x*b**3 + 25*b**3 + 22*b**2 - b wrt b.\nAnswer: -384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 1 = 3*u, -2*i + i = 3*u - 11. Suppose u*o + 106 = 341. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34468819*f + 2*f**3 - 7*f**3 + 34468818*f - 68937637*f.\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 2*v - 1 = -7, 3*p - 18 = -v for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4*p = -6*m + 72, 0 = 4*m + 4*p - 64. Is 11 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 80114\/3 - 26704. Which is the smallest value? (a) 15.36 (b) -2\/9 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 703225.8nm to meters.\nAnswer: 0.0007032258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -8 + -5 + 0 + 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -7*a**3 + a**2. Let d be i(-1). Let n = 9 - d. Let u be 4 - (-4 - 0\/n). Solve u*k = 3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -738*r**3 - 3*r**2 - 70*r - 164. What is the thousands digit of c(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40\/157 - -2343\/2512. What is the common denominator of 31\/40 and n?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 2. Determine w(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(4\/15))**22*(x**(2\/17)*x)\/(x*x**(-2\/23)) assuming x is positive.\nAnswer: x**(95822\/5865)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3696a (base 11) in base 13?\nAnswer: -1b208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -6*l**3 - 8*l**2 + 5*l. Let b(w) = -w**2 - w - 1. Let s(f) = 4*f**3 + 8*f**2 + 3. Let q(z) = -3*b(z) - s(z). Determine 5*g(h) - 8*q(h).\nAnswer: 2*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14889 + -7502. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*4\/16)\/(-7*(-4)\/280)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in decades?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 4*f = 94, 17 = m - 8*f + 7*f. Suppose -3*v - m*v + 63 = 0. Is 0 smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 284 + 244*v - 140 - 5324*v - 759*v - 135.\nAnswer: -5839*v + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 58 = 18*v. Let c(y) = -y**2 - 2*y - 1. Give c(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/9)\/(12\/(-54)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l. Let o = 2 + 3. Suppose 0 = 3*s + 9, f + o*s = -0*f - 15. Suppose -3*n + 21 = -f*n. Let v(b) = -10*b - 1. What is n*y(h) - 2*v(h)?\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -39194\/69 < -569?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 8:12 AM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 918?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 373*q**2 - 152*q - 1868. What is the units digit of d(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 6*v + 44. What is the remainder when 26 is divided by w(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 0) + -2*99\/154?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.057 times 15\nAnswer: -0.855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 379 = 3*h - 4*v + 385, 0 = h - 3*v + 7 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -g**4\/12 - 3*g**2\/2 + 2. Let u(t) be the second derivative of o(t). Let j(w) = -3*w - 1 + 5 - 4. What is j(u(i))?\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t**3 - 12*t**2 + 0 + 4 + 13*t**2 to o*t**2 + u + j*t + l*t**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/6, -1\/3, -0.06?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 5*w - 17 = -0*w, -4*w = -2*m + 44. What is the remainder when m is divided by 13\/(-78) + ((-86)\/(-12) - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**2. Let l = 11 - 15. Let m(y) = -2*y + 4. Let u(f) be the second derivative of f**2\/2 + 6*f. Let q(h) = l*u(h) + m(h). Calculate c(q(j)).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.1451 + -0.1451. Sort z, 0.02, 60, -3\/2, -2 in decreasing order.\nAnswer: 60, z, 0.02, -3\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of -7*g**4\/12 - 2*g**2. Let r(u) = 4*u - 5*u + 4 - 4. Calculate n(r(b)).\nAnswer: 14*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - 1 - (0 - 8)) + -1.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-43 + 33215\/770)\/((-6)\/(-66))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45619?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10525?\nAnswer: 5, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*z = 35*z + 64 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 64888 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -2*f**5 + 8542*f**4 + 18*f**3 - 76878*f**2 = 0?\nAnswer: -3, 0, 3, 4271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22562 and 289594?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 9*x**2 + 20*x + 1. Let w be y(-4). Let z(s) = -s**3 + 3*s**2 - 1. Let j be z(1). Let h be w + j - 117\/36. Is -1\/3 > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -3013?\nAnswer: 3021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -19*s + 14*s. Let z be (-6)\/s - 22\/14. What is the common denominator of z\/14 + (-5)\/((-1470)\/581) and -25\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 - (-1 + (11 - ((5 - 0) + 4)))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -1\/6822 (c) -0.116 (d) 2\/3 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/17861 and 23\/159.\nAnswer: 53583","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 22*d**2 - 22*d + 22. Let w be x(-23). Let c = 12655872\/70759 + -69\/5443. Let r = -179 + c. Put w, -2, r, 9 in decreasing order.\nAnswer: 9, r, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 5*g - 5*g)*(-1 - 1 + 1)*(3*g**4 + 13*g**4 - 6*g**4).\nAnswer: 10*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 + (-3 - -1 - -1). Suppose 2*h - 2*v - 8 = 0, -l = -0*h - h + 3*v. Solve h*m + 10 = -2*r + 4*r, 2*r + 2*m = -8 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -17*w**3 + 14*w**2 - 55*w + 41. What is u(1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5 = -4*h. Let f = 199\/110 - 19\/10. Sort h, f, 5\/2 in ascending order.\nAnswer: h, f, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 344\/5069?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c = 18 - 50 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 495.9138 nanoseconds in minutes?\nAnswer: 0.00000000826523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25 and 325.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 164.2 or 166?\nAnswer: 164.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 - -6 - 4 - 2. Let r = 6 + s. Let b be 9200\/r*(-30)\/(-4). Round b to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 6 and -8297515687958.\nAnswer: -8297515687952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 409451?\nAnswer: -5\/409451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, h: 1, k: 2, m: 1, g: 5, d: 1}. Give prob of sequence gd.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10992?\nAnswer: 2, 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -8*p**2 + 4*p + 12. Let s(a) = 7*a**2 - 3*a - 10. Determine -6*f(d) - 7*s(d).\nAnswer: -d**2 - 3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**2 + 5*c**2 - c**2)*((2*c**2 + c**2 + 9*c**2)*(0 + 0 - 1) - c**2 + 4 - 4).\nAnswer: -104*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20\/(-15)*21\/(-2). Let g = 51 + -49. Calculate the highest common divisor of h and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3 + y + 1 - 4*y. List the prime factors of w(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10412?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 4*k**2 - 17*k + 4. Let a(u) = -4*u**2 + 20*u - 3. What is -6*a(g) - 7*b(g)?\nAnswer: -4*g**2 - g - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 d, and 1 a when three letters picked without replacement from zdazppdf?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 5*i - 3. Let z be t(-9). Let u be -3 - (2 + z\/9). Let f = 32\/161 + 2\/23. Is f > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -267 - -265. Let c(f) = -2538*f + 1. Let a(r) = 2539*r - 2. Let i(z) = -4*a(z) - 3*c(z). Is i(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -0.1691, -5, -0.1, -73, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (352\/(-24))\/(24*9\/(-27))?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 31*s**3 + 5*s**2 - 3*s + 3. Let t(p) = -181*p**3 - 33*p**2 + 21*p - 18. Determine 13*c(l) + 2*t(l).\nAnswer: 41*l**3 - l**2 + 3*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 288, 218, 6, -426, -1156?\nAnswer: -2262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 21*y**2 - 19*y + 42. Suppose -81*j + 44*j + 180 = -46*j. Determine g(j).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -369 < -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 + 0*i**2 + 3*i**2)*(4*i - i - i)*(0 - 3*i**2 + 0) + (8 - 8 - 2*i)*(-2*i + 2*i**2 + 2*i)*(3*i**2 + 4*i**2 - 3*i**2).\nAnswer: -22*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -11*j**2 - 21*j + 6. Let f(x) = 5*x**2 + 10*x - 3. Let y(m) = 7*f(m) + 3*r(m). What is the remainder when y(-6) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7216570.3 to the nearest 1000.\nAnswer: 7217000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2805520*t**3 - 282271*t**2?\nAnswer: 16833120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(405)*4 + -4 + (2 + sqrt(405))*-3.\nAnswer: -11 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -2, -0.0397, -5, -0.3, -0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*u**2 + u**4 + 1545 - 3089 - u**2 - 18*u + 2*u**3 + 1539 as k*u**4 + t*u**2 + c*u + a + s*u**3 and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11600 + 20701. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.9223 rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0317, -2\/7, -17.\nAnswer: -17, -2\/7, 0.0317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, 34, 219, 582, 1183, 2082?\nAnswer: 3339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -298*l + 305*l + 28 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 3:16 PM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13415 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 3:20 AM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -s**3\/3 + s**2\/2 - 28*s. Let i be y(0). Do i and -15 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**2 - 5*n + 3*n**2 + 5*n. Let t be b(6). What is the greatest common factor of t and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (402\/(-1072)*(-3)\/(-9))\/((-2)\/(24\/(-93)))?\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144 is divided by 56?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/4 (b) 0 (c) 0.02 (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1462?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l - 7. Let i be t(-3). Suppose b - i*b = -4. What is the highest common divisor of b and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/(-8)*(-5 + 7). Suppose 189 = l - 5*s, -o*s + 7*s = -16. Suppose -a + l = 3*t + a, -3*t - 4*a = -167. List the prime factors of t.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -3*k, -h + 3*k + k - 12 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uucyllnlcullnluyn. What is prob of picking 1 n and 1 y?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -49*i**3 - 839492*i - 387799500 wrt i?\nAnswer: -147*i**2 - 839492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3447 and 5745.\nAnswer: 17235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p + p - 2*p)*(3*p - 1 + 1) + 68470 + 3202*p**2 - 68470 + 6*p**2 - p**2 - 3*p**2 to the form a*p**2 + r*p + k and give a.\nAnswer: 3207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 264*z - 1576. Let k be p(6). Let j(b) = -b**3 - 29*b**2 - 27*b + 36. Give j(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 - 245\/12. Calculate the common denominator of h and 49\/454.\nAnswer: 2724","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 11:08 PM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from ydyyyyyyydyydydyyyyy.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29098*b**4 - 95*b**2 + 3 - 14552*b**4 - 57*b**5 - 17*b**6 - 14546*b**4 wrt b.\nAnswer: -2040*b**3 - 3420*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99741896 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: Calculate the highest common divisor of 392 and 23226.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 297847 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 10.1. Let s = -0.2 - a. Let m = 2 + -2.5. What is the closest to s in -4, m, 3\/4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s + 3*s + 7*s - 1. What are the prime factors of g(3)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12157471?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1.93 (b) 3 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(6\/9*12\/40).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, e: 2, a: 2, w: 5, c: 3, t: 2}. What is prob of sequence jecw?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4d (base 14) to base 12.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - j**2 + j. Let h be z(-2). Suppose -3*l = h*l - 75. Is 15 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j + 54862*j**2 + 4*j - 54845*j**2.\nAnswer: 17*j**2 + 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -2\/7 (c) -2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1339 + 22523?\nAnswer: 2385c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**2 + 2*v + 1. Let k be i(-1). Let t = 68 + -41. Let m = t + -32. What is the nearest to 0.2 in m, 3, k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 - 14*b. Let w be -2 + -1 + 5 + -16. Let k be c(w). Solve k = -4*z + z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 193*v - 3095. What is b(16)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 2*r + 3*r - 34, 3*w - 35 = r. What is the highest common factor of w and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s\/(s\/(s\/s**(-2\/17)*s*s)))\/s))\/s**(-5)*s**(-2)\/(s*(s\/s**(-15))\/s) assuming s is positive.\nAnswer: s**(-240\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -28. Let f = 101 + 53. What is the greatest common factor of i and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 2, w: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -301223001 - 313?\nAnswer: -301223320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15279430.2904 + -1238.2904. Let b = m + -15278193.5999966. Let o = b + 1.6. Round o to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 7*o**2 + 4*o - 8. List the prime factors of v(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 0*r - 2*j = 18, 0 = -3*j - 15 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3755385989.\nAnswer: 3755385989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5220910 * 4.\nAnswer: -20883640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4774 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 55781 (base 12) in base 4?\nAnswer: 123230101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2707 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4651 (base 7) to base 10.\nAnswer: 1702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-2416)\/(-192))\/((-2)\/4) and 33\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9d0a (base 15) to base 11\nAnswer: 23032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -1002, -3, 8, -6 in increasing order.\nAnswer: -1002, -6, -3, 8, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p + 0 + 0. Suppose 0 = 4*x - 2*d + 6, 4*d = 3*x + 6 + 1. What is the units digit of n(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**6*c**(2\/21)*c**(-9\/4)*c**6 assuming c is positive.\nAnswer: c**(-97\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/9*t**2 + 0*t - 8\/9*t**4 - 10\/9*t**3 + 0 - 2\/9*t**5 = 0. Calculate t.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 4 = d. Suppose -4*j + 2*f = -2*j - 6, 3*f - 9 = -3*j. Solve j*s - 5*s = d for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -42, -70, -100?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/((sqrt(21)*2)\/sqrt(3)))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 189 and 40761?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 6*i + 3. List the prime factors of o(-7).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3649219505 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 19837.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 72.26192 millilitres?\nAnswer: 0.07226192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 45\/8 or 6?\nAnswer: 45\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -51*x + 9218 - 6668 for x.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 8, i: 5}. Give prob of picking 1 i and 1 a.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -2\/15, -3, -279?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q - 4. Suppose -18 = -5*r + 2*a, -4*r - 2*a - 3*a - 12 = 0. Suppose 6*h - r = 34. Let y(z) = 2*z + 5. Determine h*t(v) + 5*y(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of -49*i**5\/60 - i**4\/12 - 53*i**3\/2 + 117*i**2 + 1. What is the derivative of a(s) wrt s?\nAnswer: -98*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**3 - 5*f**2 - 14*f - 27. Let m be d(-2). Let n = 0 - 0. Let g = n - 1. What is the biggest value in g, m, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3*r - 17. Let h be j(-7). Let u be -1 - (0 + -2 - 1). Suppose -4*c = -2*f - 2*f + 20, 5*f = -h*c - u. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60180496 is divided by 353.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*g = 3, -31 = n + 4*g - 28. What is the nearest to -0.1 in 5, n, 7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/63405 and 79\/76125?\nAnswer: 321780375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 90521633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**2\/4 - 45*w\/2 - 87\/4 = 0.\nAnswer: -29, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 0*l + 4*o + 5320 = 0, 14*l - 24760 = 2*o. Is 13 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 v when three letters picked without replacement from vesvmec.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1872, 7501, 16892, 30051, 46984?\n\"Answer: x**3 + 1875*x**2 - 3*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 113745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 10*k**2 + 13*k + 4. Let s be g(-12). Suppose -3*f + 1944 = 4*w - s, 3*w - 2424 = 2*f. Suppose 4*u = -0*u + w. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 266239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((-1)\/2 - (-6)\/(-4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-840)\/315)\/(4\/(-1758)). Is b greater than 1173?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15)\/(-5)*(-2)\/3. Let y be o\/(-3)*(-42)\/(-56). Which is the closest to 1\/3? (a) 0.4 (b) -5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.01, 2.9, 1\/5, 391?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73496.59 kilograms to micrograms.\nAnswer: 73496590000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22652?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57, -1, 5, -9, 3 in descending order.\nAnswer: 57, 5, 3, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5\/4 of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5592 + 250.\nAnswer: 5842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6050)\/2090 + (-2)\/19.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4844 = 814*c - 815*c. List the prime factors of c.\nAnswer: 2, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 2 - 6. Calculate the smallest common multiple of (-16)\/(-3)*60\/16 and 20 - -2*v\/1.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-2\/3))**(-25)\/(j*j**(1\/2)*j*j*j**(-2\/9)))**(-2))**(-9\/8) assuming j is positive.\nAnswer: j**(241\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4 = -n + 3*n, 0 = 5*n + 20. Suppose -5*d + 0*d = -80. What is the least common multiple of s and d?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/183, -5, 2.7, 5?\nAnswer: 2\/183","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sfm when three letters picked without replacement from {f: 4, s: 2, x: 2, y: 3, m: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -3, 0 in increasing order.\nAnswer: -3, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 34*m - 966. What is the remainder when 138 is divided by g(32)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18518 a multiple of 197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + -6)*5\/10. Let q be -9*(6\/9)\/(-2). Let i be (-1)\/1*q\/12. What is the second smallest value in s, 5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(-4)\/14 - 480\/(-945). Let g = -80\/3 - -27. What is the nearest to -0.2 in m, 2\/5, g?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 8:15 AM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 11*a - 28 - 36 = 0, -20 = -5*a for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4143 + 4888. What are the prime factors of q?\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/33 or -5760338?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 10 + 106 = 0. Let v be 113*3*((-4)\/a - 0). Suppose 125 = 14*n - v. What is the greatest common factor of 153 and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 7*f**2 - 3*f + 1. Let b be -3*(1 + 0 + -2). Is 8 a factor of u(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9b0 - 2?\nAnswer: -9b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 40\/(-12))\/(-4)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*a**5 - 412*a**4 - 25236*a**3 - 213732*a**2 + 879120*a = 0. What is a?\nAnswer: -33, -15, 0, 3, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -4, 28, -340 in decreasing order.\nAnswer: 28, 5, 0, -4, -340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 269, 257, 237, 209?\n\"Answer: -4*d**2 + 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -114580525 divided by -5\nAnswer: 22916105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -85*v - 25. Let j(i) = 7*i + 2. Let o(m) = -2*m**3 - 3*m**2 + 6*m - 7. Let z be o(-5). Let u = z + -163. What is u*j(c) - 2*h(c)?\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**2 - 8*d**2 + 7 + d**3 + 6*d - 2*d. Let k be l(5). Suppose -u = -2*u + k. Solve -u*b + 0*b = 3*x - 5, -2*x = b - 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 95846.0989 to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 4:31 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of 1128*a**7\/7 - a**4\/2 - 325*a**3 + 3*a**2\/2 + 817. What is the third derivative of x(m) wrt m?\nAnswer: 135360*m**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at least -467\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -105 + 107 - 8\/5. Find b, given that 2\/3 - 28\/15*b - d*b**2 = 0.\nAnswer: -5, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4487648527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, 5, -2 in decreasing order.\nAnswer: 36, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 4:16 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -4) + -2 - -1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 18*j**2 - 64*j - 66. Calculate x(13).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -42003, -85146, -128289, -171432, -214575?\n\"Answer: -43143*n + 1140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -7198500 to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 7*q + 12. Calculate the least common multiple of f(-6) and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -4.9, 2, 1\/8, -1.5, -0.2 in decreasing order.\nAnswer: 2, 1\/2, 1\/8, -0.2, -1.5, -4.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -4*j**4 - 64*j**3 - 372*j**2 - 920*j - 800 = 0.\nAnswer: -5, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g**2 + 16*g - 36. What are the prime factors of o(13)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0 (b) -2\/9 (c) -0.75 (d) 1\/7 (e) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 154, 625, 1418, 2539, 3994, 5789?\n\"Answer: t**3 + 155*t**2 - t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -17, -38, -77, -140, -233?\nAnswer: -362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000127173 rounded to seven decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j + 28*j - 12*j - 10*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*s + 3*s - 2*s + 3*s.\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -792*j + 9*j**3 + 257*j**2 - 256*j**2 + 389*j to the form p*j**2 + q + n*j**3 + a*j and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**2 - 4*i - 1. Let c(u) = -u**3 + 2*u**2 + 3*u + 1. Calculate -4*c(v) - 3*o(v).\nAnswer: 4*v**3 - 2*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3838 is divided by 183.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -97629*g**2 + 57*g - 64. Let a be i(24). Round a to the nearest one million.\nAnswer: -56000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 9*b**2 - 3*b + 1. Let d be l(9). Let u = d - -36. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 8. Suppose -v*f - 2*u + 3 = -7, -3*u + 11 = 2*f. Suppose -34 = -2*y - y + 2*j, -f*j + 16 = y. What is the lowest common multiple of 10 and y?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -155\/2706 and -85\/7216?\nAnswer: 21648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 37*j**2 + 440*j + 102. Let b be a(22). What is the highest common factor of b and 3686?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a meter in centimeters?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3563533, -7127060, -10690587, -14254114, -17817641, -21381168?\nAnswer: -24944695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-2) + (-117)\/143. Let g be (0 - -2)\/2 - -1. Is s <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of -7*n**6\/6 + n**5\/4 - 31*n**4\/12 + 2*n**3\/3 + 1208*n. Find the third derivative of s(y) wrt y.\nAnswer: -840*y + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010011 - 11100100110011011?\nAnswer: -11100100111101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k**3 + 354641*k - 13*k**3 - 709237*k - k**3 + 354596*k.\nAnswer: -19*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 798 and 294?\nAnswer: 5586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 80978 plus 49?\nAnswer: 81027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1050\/33 - (-4)\/22 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 639 is divided by ((-69)\/(-12) + 156\/(-39))*4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-120)\/375*1*-10*(-450)\/60?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**47*u*u**(3\/7)*u assuming u is positive.\nAnswer: u**(346\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000101 rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 8920 and -0.9.\nAnswer: 8919.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y - 754 + 5*y + 749. Let u = -5 + 1. Determine n(u).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 + 10 - -2)*(4 - (-75)\/(-10))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p + 2 = 8*p. What are the prime factors of (-1)\/2*p*66?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - u**2 + 7. Let d(w) = 21*w**3 - 2*w**2 + 5*w + 9. Let m(c) = -2*a(c) + d(c). Let o(y) = 10*y**3 + 3*y - 3. Give -3*m(x) + 5*o(x).\nAnswer: -7*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/184)\/((-680)\/(-2720))?\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c + 17*p - 13*p + 14, 4*p = -8 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s - 9. Let c be p(-7). Suppose 0 = -2*i + c*i - 75. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -39) + (-269 - -247).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 6*h - 2*w - 38 = 0, w = -5*h + 65. Let j(m) = 3*m - 1. Calculate the remainder when h is divided by j(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 0 + (-5*(sqrt(1100) + -1) + -2*sqrt(1100) + 4)**2)*-1.\nAnswer: -53978 + 1260*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 11 - (-277 + 328).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = k + 2*r - 43, 0 = -2*k + r + 86. Let j = -385\/9 + k. Let y = 80 + -79. Which is the closest to -1\/3? (a) -3\/5 (b) j (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000051485 rounded to 7 dps?\nAnswer: -0.0000515","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 1 - 10, -3*l = j - 6609. What is the common denominator of (-6)\/(-60)*(-174)\/(-4) and 4\/(-22) - 30810\/j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 232380a (base 11) to base 16\nAnswer: 3df570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**2 - 2*h + 1. Let i(s) = -6*s**2 - 14*s - 30. Let x(v) = -i(v) - 2*j(v). Factor x(d).\nAnswer: 2*(d + 2)*(d + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496697.6ug in grams?\nAnswer: 0.4966976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -42.40591 and 0.4?\nAnswer: 42.80591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 216342610 and 3190.\nAnswer: 3190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/2? (a) -2\/11 (b) -53.395 (c) 0 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 7*g + 25. Let s = -57 - -57.4. Which is the nearest to -0.1? (a) s (b) 1\/4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11102103 - 1?\nAnswer: 11102102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-80)\/(-14) + -6)\/((-18)\/14).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25144297 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2457 + 0.0457. Let l = -13 + 8. Which is the nearest to -2\/9? (a) l (b) -3\/7 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5 + 2 - -3)*1. Suppose -13 = -2*i + 3*y, -i + 4*i - 4*y - 20 = m. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 271, 273, 275?\n\"Answer: 2*t + 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 16 = -1, -2*u = -4*l - 12. Let s be u + 0 + (-11)\/(2 - 3). Solve -k + s = 5 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-17) + 36\/17. Solve -k*d - 4 = u, -5*d - u - 10 = 3*u for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 16, -4*x - 14 - 2 = -4*i. Suppose i = 2*n - 7*n + 5. Which is the smallest value? (a) -0.3 (b) n (c) 2\/13 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 2*t + 98, -142*o + 137*o + 123 = 3*t. Solve 0 = -21*k - o + 108 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 25 = 3*i - 18, 0 = -2*q + 10. Suppose -9 = -3*t + i. What is the least common multiple of 3 and 24\/t + 30\/(-75)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q = -26329 + 26339 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3 times 10155?\nAnswer: -23356.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 7*k - 10. Let a(s) = -s**2 - 24*s - 129. Let m be a(-7). Give q(m).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -43, 14465, -4\/11 in ascending order.\nAnswer: -43, -4\/11, 14465","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3143 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t + 0*t + 0*t - 2*t**4 + 6*t**4 + 0*t**3 + 0*t**3 + (4*t**2 - t**3 - 4*t**2)*(3*t + 2*t - 3*t) - t**4 + 3*t**4 - 3*t**4 + 0*t**4 - 4*t**4 + 2*t**4.\nAnswer: -t**4 - t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/12 + 30\/(-8). Let r be (0 + 2)\/(4\/q). Let u = r + 3\/2. Is u > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33\/(-16))\/((-21)\/(-28))*(-256)\/(-1408)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 5:57 PM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of 25*t**6\/4 + 135*t**5\/8 - 195*t**4\/4 + 43*t**3 - 18*t**2 - 330*t. Determine a, given that f(a) = 0.\nAnswer: -3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -519*g**2 - g*n - g - 6732*n wrt g.\nAnswer: -1038*g - n - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 2*k**2\/3 - 25202*k - 151220\/3 = 0.\nAnswer: -2, 37805","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1491 - 1a40?\nAnswer: -3421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - t**2 + 5*t. Let g be v(-3). Suppose -3*x = -6*x + 3, -g*x = f - 8. Solve 4*a = 5*l + 19, -f*a + 9 = -5*l - 11 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/20 and 51\/(-8) - (-12)\/16?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 5*x - 2*m, -x - 2*m = -0*m. Let k be 37\/x - 12\/72. Suppose 0 = j + 2*t + k, 2*j + 3*j + 2 = -3*t. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0575 from -1297.1357021.\nAnswer: -1297.1932021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.4705239 milliseconds in hours?\nAnswer: 0.00000179736775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 5*l - 2. Let v be m(1). Suppose 12 = v*y + 3. Let t(a) = -4*a**2 + 13*a + 2. Let i(p) = 3*p**2 - 11*p - 2. Let h(b) = -5*i(b) - 4*t(b). What is h(y)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 5*t - 3*u, -33*t + 31*t + 12 = 5*u for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in decades?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10440 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of 109 - 64\/3*o**6 + 0*o + 1\/3*o**3 + 61\/2*o**2 + 0*o**4 + 0*o**5. Find the third derivative of v(u) wrt u.\nAnswer: -7680*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (s - 3*s - 2 + 0)*(-5*s**2 + s**2 + 2*s**2)*(25 - 25 - 2*s) in the form g*s + w*s**2 + b*s**3 + m*s**4 + k and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 140 + -61. Let k = 90 - t. Calculate the remainder when 29 is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of 17*n**6\/10 + 195*n**3\/2 + 365*n**2. Differentiate s(x) with respect to x.\nAnswer: 612*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 186.000952 + -2.\nAnswer: 184.000952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1267 or 522?\nAnswer: 1267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8\/14 - 265820\/(-70).\nAnswer: 2, 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (141\/(-4794) - (-49)\/(-68)) + 614\/8\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/18 - 121\/(-99). Suppose -o - 2*c = 2*o - 17, o + 2*c = -a. Calculate the remainder when 1\/(2\/42)*(-12)\/(-18) is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 19363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i + 13. Let b(c) = -1. Let o(h) = -1. Let y(z) = b(z) - 2*o(z). Let p(l) = -v(l) + 2*y(l). What is p(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pepeefpefepee. What is prob of picking 3 e and 1 f?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/22700 and 113\/47940.\nAnswer: 54411900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -482, -605, -728, -851, -974, -1097?\n\"Answer: -123*z - 359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of -1 + (1 - 2 - -252)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 188.6 + -189.6. What is the nearest to 2 in -0.5, -4\/5, t, -3\/11?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {u: 3, m: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 499*x = 502*x + 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -481.\nAnswer: 5\/481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + z**2 - 11*z. Let o(p) = -p**3 - 12*p. Let f(c) = 5*o(c) - 6*u(c). Let a be f(4). Let w = 11 + a. Solve -y = -3, h - 10 = -4*y + w for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 718.7232 litres?\nAnswer: 718723.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 5*j - 18 = -t, -4*j - 3*t = -21. Suppose 3*z - 3*o + 19 + 23 = 0, -z = j*o + 30. Let m(l) = -l**2 - 20*l - 31. Let d be m(z). Is d at most 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 5*t - 50 = 0, -2*t - 15 = -p - 0*t. Suppose p*x + 0*o - 24 = 4*o, -3*o = 2*x - 5. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 - (322 - 346).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -630374 - -9478.555.\nAnswer: -620895.445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 437710087 to the nearest integer?\nAnswer: 20922","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**2 + 61*s + 238. Let t be z(34). Solve -3*x + 3*v - 6 = t, 63*x + v = 60*x - 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 365674727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-56)\/12*(-18)\/7. What are the prime factors of (-4)\/((-27)\/q - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2796 - -2809. Solve -3*y - 4*b - 21 = -m, -5*y - 8 = 4*b for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/4 of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34.99 - 37.99. Put 0.04, -3\/2, b, 0.3 in ascending order.\nAnswer: b, -3\/2, 0.04, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 - ((-448)\/70 + (-9)\/15). Are u and 192\/83 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(2\/(-3)) + -1. Suppose 64 = 21*i - 5*i. Suppose z*r - i = -0*r. Solve 0 = r*u + 3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -70 - -70. Suppose 2 = -n, 4*p - 5*n + 10*n + 6 = z. Let r(x) = p - 217*x - 6 + 218*x. Determine r(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - 12 - -2 - 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 35\/13969?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -5*v. Let b be -7 - (-7 + 2 - -4). Let r(t) = -t. Let m(n) = b*g(n) + 35*r(n). Let k(c) = -6*c. Determine k(m(u)).\nAnswer: 30*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -104 + 30322?\nAnswer: 30213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 7. Suppose -3*u + 34 = -5*t, -b*t = 3*u - t + 1. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3190\/(-55506))\/((-10)\/12)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**(-5)*s*s**(-8)*(s**(-2\/3))**(-2\/43))\/(s*s\/((s*s**(-1\/5)\/s)\/s)*s**(1\/4)*s*s*s**(1\/6)*s**(2\/7)\/s) assuming s is positive.\nAnswer: s**(-268577\/18060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1549.2 - 5.579.\nAnswer: 1543.621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -875 - -876.34. Let z = 0.2 + 1.1. Let a = z - q. What is a rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2959 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1528?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n**3\/11 - 46*n**2\/11 + 240*n\/11 + 288\/11 = 0.\nAnswer: -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -5. Let o = 0.29 + 2.71. Sort o, 0.3, j in descending order.\nAnswer: j, o, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 - -74. Suppose 2*j - 61 - 21 = -2*t, 5*t - k = -j. Is 12 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 27, 64, 101, 138, 175, 212?\n\"Answer: 37*a - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -6*y**2 + 2*y - 2. Let k(l) = 13*l**2 - 5*l + 5. Let c be (-5)\/10*(-11 + 15). What is c*k(r) - 5*t(r)?\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z. Let m(d) = 449*d + 2. Let n(x) = 1827*x + 9. Let o(h) = 9*m(h) - 2*n(h). Determine o(i(t)).\nAnswer: 774*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/5 - 2404*a\/5 - 19104\/5.\nAnswer: -2*(a + 8)*(a + 1194)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (-15 - (-1 - (40 - 24))).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 + 9 + 13 + 12 + 2*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1685, -3365, -5045, -6725?\n\"Answer: -1680*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 30 = -3*z, 3*r + 60 = -r - 5*z. Let k be ((-9)\/30 - (-612)\/40)\/(-1). Is k bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -3 (c) 5 (d) 42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.073 - 2.927. What is the nearest to -2\/7 in 0.2, u, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hwk when three letters picked without replacement from ggkhwkhtghttw?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 6*t**2 - 16*t - 1. Let v be b(11). Suppose 0 = -10*n + 542 + v. Does 4 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 4*n - 4*r, 4*r - 23 = 2*n + 17. Let t(v) be the first derivative of 188001*v**2\/2 + 10*v + 2. Let s be t(n). Round s to the nearest 100000.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 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: Expand (2*y - 2*y + y + (-1 + 6 - 1)*(2*y + y - y)*(345 - 78 + 164))*(-2 + 2 - 1)*(-2 - 3*y - 4*y + 5*y).\nAnswer: 6898*y**2 + 6898*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(-9)*624\/252980)\/((-21)\/((-1323)\/(-36)))\nAnswer: 2\/139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 28*o = 8*o - 2089234. Round o to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/7? (a) 0 (b) 2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -483579*z**3 - 1617*z + 23 wrt z.\nAnswer: -2901474*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 73 + -112 - -124 - 119?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 28 + 1 = 0. Suppose -2*o + 3*w = -4*o + 25, o = n*w - 1. What is the greatest common divisor of o and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2043541.\nAnswer: 2043541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/21 (b) -3 (c) 0 (d) 5 (e) -55 (f) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 141?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 22\/(-3)*(2125\/5 + 4). Let b = l - -7537. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + c - 4*c)*(13484 + 120*c**4 - 13484).\nAnswer: -360*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2560, -5140, -7724, -10306, -12880, -15440?\nAnswer: -17980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 + 28.46.\nAnswer: 28.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -75*7\nAnswer: -525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**2 + 5810*v + 217708 = 0. Calculate v.\nAnswer: -37, 2942","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1493.1 - 165.3. Let t = c + 1341. Round t to the nearest ten.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 8*o + 4. Let z be y(-5). Let w = z - 19. Let d = -17 - w. List the prime factors of d.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 8 and 4896.\nAnswer: 4904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3*x**2 - 3*x + 7. Let w be a(4). Let b = -50 - w. Solve 6*r - r = -l - 1, -2*l + 11 = -b*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a + 11*a = -3*c + 1202, -2*c + 2*a + 804 = 0. Does 58 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r - 1553 + 1565 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20160033 by -6720011.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 - -29. Let y be (-2)\/x + (-1)\/(-4). Let s(q) be the third derivative of q**5\/60 + q**4\/24 - 4*q**3\/3 - 4*q**2. Calculate s(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t**2. Let b(s) be the first derivative of 2*s**3\/3 + 24. What is b(y(l))?\nAnswer: 8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ikircwiikhhri. Give prob of sequence kiw.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3955.637 rounded to the nearest 10?\nAnswer: -3960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 109\/20 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 + 41. Let k be 25 + (1 + 0 - o). Let q = k - -23. What is the remainder when 178 is divided by q?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27321, 54632, 81935, 109230, 136517?\nAnswer: 163796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 30\/195 - 35952\/(-39). Suppose -20*k + 378 = -j. Calculate the highest common factor of k and 715.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 86338850 and -0.06?\nAnswer: -5180331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of l**4\/24 + 33*l**2 + l. Let w(q) = -218*q. What is w(s(c))?\nAnswer: -218*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 8*n + 32 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27243281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*y = -3*q, -4*y = 0. Solve 0*n - 4*g = 5*n - 25, -g = q for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1886 and 1066.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1881, -2037, -2195, -2355, -2517, -2681?\nAnswer: -2847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 0 + -2 + 2 + 0\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 11*v - 40*v - 360 + 3*v**2 - 8*v - 5*v = 0.\nAnswer: -6, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -249, -499, -749, -999, -1249?\nAnswer: -1499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1029*k + 76*k + 1)*(4 - 1 - 2) + (2 + 1 - 5)*(3*k - 3*k + 2*k) + 4*k + 0*k - 2*k + 0*k + 2*k + k in the form h*k + b and give h.\nAnswer: 1106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.254 - -0.654. Let k = -1.9 - -1.1. Let h = 1 + k. What is the second biggest value in h, -22, u?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) -856\/37 (b) -0.3 (c) -19\/3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -8273.38 to the nearest one hundred.\nAnswer: -8300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 422333442 - 12?\nAnswer: 422333430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of 37*b**8\/56 + 65*b**4\/6 - 7*b + 1. What is the third derivative of m(j) wrt j?\nAnswer: 4440*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17986?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -58 + 62. Solve -5*a - m*b = -5*b - 10, 3*a = -b + 14 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 2446415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j**2 + 7*j - 6. Let p(h) be the second derivative of -5*h**4\/12 - 13*h**3\/6 + 11*h**2\/2 - 3*h. Let x(i) = -7*k(i) - 4*p(i). Factor x(o).\nAnswer: -(o - 2)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s + 11. Let d(m) = -3 + 3 + 2 - 2*m - 1 + 4. Calculate -5*d(o) + 3*w(o).\nAnswer: o + 8","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -330969 or 1?\nAnswer: -330969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 80137.63s?\nAnswer: 80137630000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 1213*v - 4821. Suppose 3*i - 465 = -u, -2*u = -3*i + 254 + 202. What is the remainder when i is divided by k(4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (210\/378)\/((-2)\/6)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of s**5\/30 - 6*s**2. Let y(m) = -5*m. Suppose 0 = 5*l - 30 - 15. Let h(k) = 11*k. Let x(w) = l*y(w) + 4*h(w). What is x(a(i))?\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/22 = 133649\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -74*i + 641. Determine v(9).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**2 + 11 + 2 - 7 + 17 to i*n + k*n**2 + j and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -242738\nAnswer: 5\/242738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -106852*m**3 + 85*m**2 - 8*m - 658935296 wrt m?\nAnswer: -320556*m**2 + 170*m - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 4) to base 9.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 46105 to the power of 1\/2, to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 5:15 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 33\/5 of a milligram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 7356, 32906, 75490, 135108, 211760?\n\"Answer: 8517*v**2 - v - 1160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*x + 78 = 3*u, -3*x + 49 = u. Suppose 5*y - 3*a = -a + 186, 102 = 3*y + 2*a. Let q = y - u. Solve 0 = 2*s + 5*j + 15, -5*j - 20 = -q*s + 5*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -5*d**3 + d**2 - d. Let p be w(1). Suppose 0 = -4*n - 9 - 3. Let o = n - -3. Sort o, 1, p in descending order.\nAnswer: 1, o, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1116 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 2 - 22. Suppose -y*b + 712 = -68. What is the highest common divisor of 10 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62087?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 177 and 0.3?\nAnswer: 53.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -28*l**3 - 421*l**2 - 830*l - 12228. Give n(-15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17905 = 9*k + 5*d - 43823, d = 4*k - 27425. What is the thousands digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -1.2. Let b = 226\/273 + 1\/182. What is the smallest value in k, -0.3, b?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 83941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iti when three letters picked without replacement from yiitytittyt.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -275*s. Let m(f) = 12 - 4*f + 17 - 29. What is j(m(g))?\nAnswer: 1100*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 43.79 to 1 decimal place.\nAnswer: 43.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3*j - 2*j + 3*j)*(3 + 0 - 4) + 7*j - 5 + 5)*(-1 + 2 + 2 + (0 + 3 + 3)*(2 - 7 + 4)) in the form o + v*j and give v.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 3:40 AM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i - 1. Let h(f) = -6*f - 1. Let x(v) = -h(v) + 5*n(v). Determine x(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q. Let i(r) = r + 4. Let w(h) = -2*b(h) + i(h). Let u be (-13)\/(-3) + 6\/(-18). Calculate w(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 106 - 3?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -i**8\/4032 + i**7\/2520 + i**6\/720 - 3*i**2\/2 + 10*i - 4. Let o(v) be the second derivative of h(v). Factor o(p).\nAnswer: -p**3*(p - 2)*(p + 1)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000023737193 to six dps.\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20675?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -30? (a) -2 (b) -1 (c) 4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s. Let f(a) = 5*a + 24. What is f(z) - 4*t(z)?\nAnswer: z + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w - 10. Let u be z(-6). Suppose -4*d + 42 = s, -5*s - u*d + 285 = -7*d. Suppose 8*l = -l + s. What is the remainder when 8 is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of a**4\/24 - a**3\/6 + 51*a**2\/2 - 24. Let t(o) be the second derivative of n(o). Give t(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41604795?\nAnswer: 3, 5, 924551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 2524450 to the nearest 100000.\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of 0*l**3 + 3\/2*l**4 + 0*l + 16*l**2 - 1 + 29\/60*l**5. Find the second derivative of u(v) wrt v.\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 5*s - 1. Let u be x(-6). Suppose -3*v + 157 = 3*h - 4*v, -5*h + 259 = -v. Let l = u + h. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2. Let o(g) = -3*g**4 + 2*g**2 + 9. Let x be (-1)\/3*(1 + -4). Let s(n) = x*o(n) - 2*l(n). Find the first derivative of s(a) wrt a.\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/(sqrt(6) + sqrt(30)\/sqrt(180)))**2.\nAnswer: 684\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/9, 13, 2\/3, -9, 3, -5 in decreasing order.\nAnswer: 13, 3, 2\/3, 4\/9, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -217 = 8*y - 177. Let k be (6\/4)\/((-24)\/(-80)). What is the tens digit of (((-66)\/k)\/(1\/y))\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 1a?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4215.01 - -4195. Let m = x - -24.6. What is m rounded to one dp?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3519590, 3519594, 3519598, 3519602?\nAnswer: 3519606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7612.84 years to centuries.\nAnswer: 76.1284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3*i**2 - 3*i + 1. Let s(j) = -j + 5. Let u be s(-9). Suppose 0 = 3*o + 2 - u. Let f(v) = 7*v**2 + 7*v - 2. Give o*f(q) + 9*b(q).\nAnswer: q**2 + q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - z = 2, -13*h = -4*z + 25 + 9. Sort 5, h, 3.\nAnswer: h, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7678.387 rounded to the nearest integer?\nAnswer: -7678","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -3*s - 2*s + 56, -4*t - 4*s + 64 = 0. Let v = 24 - t. Does 6 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 4921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 64 + -36. Suppose 4*p - b = -0. Is 4 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of 1 - 1\/2*w**2 - 1\/6*w**3 + 1\/24*w**4 + 0*w. Let y(o) be the second derivative of k(o). What is the derivative of y(c) wrt c?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(-26 + -10)\/(-2). Solve 0 = -10*u + p*u + 8 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y. Let p(r) = 2*r**3 - 15*r**2 - 8*r + 4. Let s be p(8). Let n(j) = -125*j + 73. Let t(x) = s*k(x) - n(x). What is the derivative of t(h) wrt h?\nAnswer: 129","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 26*x**2 + x - 22. Let r be d(26). Is -13*41\/((-12)\/r + 2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156*q - 19*q - 39*q = -43870. Suppose -5*i = 5*g - 160, -3*i + 26 = 4*g - 67. Calculate the remainder when q is divided by i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49 or 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -8 - (16 - (-16 + 46))) + 16?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1015000 to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, b: 3}. What is prob of sequence aa?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.8? (a) 0.5 (b) 0.1 (c) 4 (d) -0.17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 732 and 314220.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 14*x + 13. Suppose 99 = -u - 3*u + o, 0 = -4*u + 2*o - 94. What are the prime factors of l(u)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66699072 divided by -7656\nAnswer: 8712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 9 = 4*s. Let b = -24 + 34. Suppose 8*u = 3*u + b. Put 4, s, u in ascending order.\nAnswer: u, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113334 to the power of 1\/2, to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 286*u**2 - 286*u**2 + 7*u**3.\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 34470.803 and 994.\nAnswer: 35464.803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6778 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 229316?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**5 - 2*f**5 + 0*f**5 + (4 - 4 - f**2)*(2*f**3 + f**2 - f**2) + 2*f + f**5 - 2*f + 770*f**5 + 32174*f**3 - 32174*f**3 + (2*f + 0 + 0)*(2 - 2 - f**4).\nAnswer: 766*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 8. Suppose -51 = -s*y + 3*w - 15, 0 = y + w - 10. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 + 18. Let g(l) = 1 + 4*l + r*l + 45*l. Is g(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26cd (base 14) in base 3?\nAnswer: 100101112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*o, o + 14 = -4*t + 5*t. What is the greatest common divisor of 48 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.18 + 2.82. Let h = b + -2.8. Put h, -13, -2 in decreasing order.\nAnswer: h, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, n: 1, d: 4, a: 2}. What is prob of picking 1 a and 1 n?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 233 + -163. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34\/(1462\/903) - -17?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 55 - 23. Suppose k = -3*k + c. Suppose 2*g - s = -3*g + 321, g - 62 = -2*s. What is the highest common divisor of g and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, q: 1, d: 8, z: 1, h: 4}. Give prob of picking 1 z and 3 h.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - (-255)\/17) + ((-44)\/10)\/2.\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1305, -1307, -1309, -1311, -1313, -1315?\n\"Answer: -2*y - 1303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1285174 to the power of 1\/3, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-16)\/4)\/(-4)*18. Is 34 a factor of ((-136)\/(-6))\/(4\/h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 2*u + 2 = 0, -1138*k + 1135*k - 4*u = -4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -2*t + 80. Suppose 2*f = -2*f + t. Suppose 3*l = 8*l - 30. Calculate the remainder when l is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 2*x - 2. Let h be y(4). Suppose h*d - 40 = 2*d. Calculate the least common multiple of 5 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 1 + 1)*(m + 18 - 18) + (m + m + 0*m)*(80 - 164 - 219) in the form f*m + c and give f.\nAnswer: -609","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 12:21 AM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 621 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -548, -3985, -13306, -31451, -61360, -105973, -168230, -251071?\n\"Answer: -490*z**3 - 2*z**2 - z - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3724*w + 29430. What is y(-8)?\nAnswer: -362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, -33, -6, 37, 102, 195, 322?\nAnswer: 489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -17*m + 5. Calculate v(2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -90 + 174 + -64 + 5 + -15 + 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 60 = 8*t. Suppose -t = -5*g + 8. Suppose 0 = 2*w - 2 - 6, 0 = -g*k + 2*w + 4. Solve f - k = o - 3*o, 2*f - 11 = o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 252 + -252. Put 29, -2, r, 8 in decreasing order.\nAnswer: 29, 8, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*m**2 + 2*m**2 - 3*m**2 to i + j*m**2 + k*m and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + p**2 + 12 - 3*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y - 2*y - 2*y + (-y + 0 + 0)*(-2 + 3 + 1) + 9*y + y - 15*y.\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2 + ((sqrt(42) + 2*sqrt(42))\/sqrt(6) - sqrt(175)*1))**2.\nAnswer: 8*sqrt(7) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 + d**3)*(-1 + 0 + 3) + (10 - 10 + 27)*(-21*d - 6*d**3 + 21*d))*(0 + 0 - 4*d**2).\nAnswer: 640*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2702 and 17908856.\nAnswer: 2702","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 6:48 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4859, -9078, -13295, -17510?\n\"Answer: b**2 - 4222*b - 638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 6 = 3*r, -2*t - 3*r + 3 = t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(3\/7)*c**(-9)*c**(2\/9)*c**(-2) assuming c is positive.\nAnswer: c**(-652\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uummmuuululllm. Give prob of sequence mlu.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 45296 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-4*sqrt(2)*-3*-6)**2.\nAnswer: 10370","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -6be (base 16) to base 10\nAnswer: -1726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3787.\nAnswer: 7, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -2\/798565?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -8 + 0 - -13.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22296.237 months to millennia.\nAnswer: 1.85801975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -4*m + 2*n, -5*m - 3*n = -0*m - 50. Let a be (-6)\/m - (-2)\/(-5). Is 9 a factor of a*(-2 - -1) + 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 3*a**2 - 10*a - 27. Let c be v(-4). Solve 3*o = -5*n + 6*o - c, 0 = n - o + 7 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**2 + 2*s**2 + 2*s**4 + (-2*s + 3*s + 0*s)*(3*s**3 + 3*s**3 - 7*s**3) - 2*s**4 + 0*s**4 + 4*s**4.\nAnswer: 3*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 151 - 158. Calculate the remainder when 23 is divided by 8\/56 - ((-124)\/k)\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183.96458185 - 27?\nAnswer: 156.96458185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -4a6a6?\nAnswer: -4a6a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -57800000 rounded to the nearest 1000000?\nAnswer: -58000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -3, -20, -65, -150, -287, -488, -765?\nAnswer: -1130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - -1 - -7) + -4. Let n be 0*(u + -2 + -1). Suppose 5*j - 11 = -g, 2*j + 2 = -2*g - n*g. Which is the third smallest value? (a) g (b) 0.5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -638 + 638 - 5*p**2 + p**2 + 1509*p**3.\nAnswer: 1509*p**3 - 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) 2\/11 (c) -0.4 (d) 0.8 (e) 39\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4391994479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3371.2 + -3371. What is the fifth biggest value in -1, g, -7, -4, -1\/5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1171387 by -64.\nAnswer: 1171387\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45, 82, 115, 138, 145, 130?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2. Let z be 10*2\/4 + -3. Let i = 3 - 0. Let g(y) = 0*y - z*y - i + 3. What is n(g(f))?\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three tenths of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -22359, 1\/5, 2.3?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 5. Suppose t = 2*k + 2 - 10. Solve 0 = -2*x + k*x - 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2 = 2*p. Suppose 13 + 3 = p*z. Solve z = c + c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -154 + 153.97. Sort s, 0.1, -2 in ascending order.\nAnswer: -2, s, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4.68132, 0, 2, -95?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11774580?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 312344 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide ((-660)\/(-8))\/((-14)\/(-28))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*h - 14 = 0, -24 = 5*n + 4*h + 6. Let p = -439 - -436. Put n, -5, -4, p in descending order.\nAnswer: n, p, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + 5*b + 2. Let d be o(5). Suppose -i - 3*k = -19, d*i - 4*k = -i - 8. Suppose -2 = 2*f - n, 17 = f - n - 4*n. Put i, 0, f in decreasing order.\nAnswer: i, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**3 + 18*a - a**3 + 4*a**3 + 75*a**2.\nAnswer: 2*a**3 + 75*a**2 + 18*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1964748018 and -68.\nAnswer: -1964748086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00384366 to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 39, 76, 127, 192, 271, 364?\nAnswer: 471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/9 (b) 0.04 (c) 5 (d) 0.1 (e) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 655325521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3205 - -5021. Let a = -644 + o. Suppose -6*z = -2*z - a. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -108\/587?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q. Let f(c) be the first derivative of -c**2\/2 - 3*c - 24. Give f(n(h)).\nAnswer: -2*h - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 364265.\nAnswer: 5, 11, 37, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 5 + (sqrt(931) - (sqrt(931) - sqrt(931)*-3)) + sqrt(931) + 2 + sqrt(931)*-2 + sqrt(931))*-6)**2 + -5.\nAnswer: -3024*sqrt(19) + 301783","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7114, 51, 55 in increasing order.\nAnswer: -7114, 51, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 27 = -11*s + 16*s, -9 = -m + 5*s for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2050154 - -4052.588.\nAnswer: -2046101.412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/3)\/(18\/4*19\/(-171)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6\/11 (b) -0.5 (c) 2\/5 (d) 57\/4 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1377) + -2 + -2)*-3)**2 - ((-5 + sqrt(1377)*-1 + (-6*(sqrt(1377) - (-1 + sqrt(1377)) - sqrt(1377)) - sqrt(1377)))*2)**2.\nAnswer: -7200*sqrt(17) + 111980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -5*j**3 + 28*j**2 - 15*j + 7. Let t(l) = -2*l**3 + 14*l**2 - 7*l + 3. Give 3*b(k) - 7*t(k).\nAnswer: -k**3 - 14*k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -6*k + 67. Let r be s(12). Which is the second biggest value? (a) 23 (b) 4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(405) - (0 + sqrt(405)) - sqrt(405))*-4 + (2*sqrt(405) + sqrt(405) - sqrt(405)) + -4)*4)**2.\nAnswer: -172800*sqrt(5) + 5838400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2869 divided by 19.\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -16\/3*r**4 - 17 + r + 2\/3*r**3 + 3*r**2. Find the second derivative of p(v) wrt v.\nAnswer: -128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4701127 = 35*o + 38*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 f when four letters picked without replacement from cxcfcfccaafc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 18 = -g. Let o be -3 - (g + (3 - 31)). What is the highest common factor of o and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 205 - 207. Put -1, s, -24 in decreasing order.\nAnswer: -1, s, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 528 and 3870.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 66*i - 2. Let d(c) = -c - 1. Determine 4*d(p) - v(p).\nAnswer: -70*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 207 and 5.189.\nAnswer: 212.189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58 and 694434?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 f, and 1 h when three letters picked without replacement from {w: 1, c: 1, a: 1, h: 1, f: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -8*n**2 - 2*n - 5. Let i(p) = p**2 + 1. What is 5*i(q) + u(q)?\nAnswer: -3*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 32 + 42 + 37 - 120 - 3*k. Give h(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3*u + 2. Let y(i) = -i**3 - 15*i**2 + 2*i - 219. Let l be y(-16). Give s(l).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 - 37582*u - 790104.\nAnswer: 2*(u - 18812)*(u + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 940.7274l?\nAnswer: 940727.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 10:49 PM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 188 - (-19 + (-1 - -75)).\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2288704 times -0.01\nAnswer: -22887.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -p*r*t**3 - 4*p*r*t + 2*p*t**3 - 8*p + 5*r*t**3 - 2 wrt r?\nAnswer: -p*t**3 - 4*p*t + 5*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -m**5\/60 - 3*m**2. Let u(k) = 7*k**3 - 42*k**2. Let y be (36\/(-33))\/(48\/(-1848)). Give y*b(o) - u(o).\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 n when two letters picked without replacement from {x: 3, a: 2, d: 1, f: 1, z: 5, n: 1}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104624, -104618, -104608, -104594, -104576, -104554, -104528?\nAnswer: -104498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cnpnoncppnpcnpncpn. Give prob of picking 1 n and 1 p.\nAnswer: 14\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19837021?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32161*b - 32048*b - 16269*b.\nAnswer: -80478*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 PM and 10:40 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*h = 71*h + 227168. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (3 - (-3 + 5 + -3)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t + 7. Determine m(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of 8*n**4\/3 - 5*n + 22. Let x(u) be the first derivative of d(u). Let j(p) = p. What is x(j(s))?\nAnswer: 32*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 165.\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8311.121l to millilitres.\nAnswer: 8311121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 26 + -70?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.3 - 9.6. Let p = -0.035 - -1.035. Which is the second smallest value? (a) p (b) -2.2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 167109911?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011110111010000110 (base 2) to base 14.\nAnswer: -a1954","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38 - -38. Let v = -18 - -14. Which is the closest to r? (a) -0.5 (b) 0.01 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47670 rounded to the nearest one thousand?\nAnswer: 48000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 612 and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 420928858.\nAnswer: 2, 7, 30066347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d. Let h(z) = -2*z + 3*z - 2*z. Let a(f) be the second derivative of -f**4\/12 - f**3\/2 - 47*f. Let l(b) = a(b) - 3*h(b). Determine l(x(q)).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that r**3\/2 - 6*r**2 - r\/2 + 6 = 0.\nAnswer: -1, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2982.\nAnswer: 2, 3, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -54, -79, -126, -207, -334, -519, -774, -1111?\n\"Answer: -2*z**3 + z**2 - 14*z - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 g when four letters picked without replacement from {d: 4, g: 2}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8.4, 0.3, -0.18?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 64 - ((-14 + 15 - -16) + -7 + 9)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 y when three letters picked without replacement from yycvyyyvyy?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/20802 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0*n\/n**(2\/7)*n)\/((n\/((n*n**(-1\/8))\/n*n*n*n*n))\/n**(-1\/5))*((n*(n*n**7\/n*n)\/n)\/n*n**(9\/2)\/n)**(-9\/8) assuming n is positive.\nAnswer: n**(-4157\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -6*f - 1. Let z be c(-1). Suppose -b - 13 = 3*i + 1, 0 = z*i + 25. Suppose 2*x + 5 = 11. What is the greatest common divisor of x and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6154991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -73*n**3 + 3*n + 4*n - 2 + 66*n**3 + 2*n**2 - 18*n to k*n**2 + h + s*n + m*n**3 and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1835, -14315, -48131, -113933, -222371?\n\"Answer: -1775*x**3 - 18*x**2 - x - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, e: 5, f: 4, m: 6, y: 1, d: 3}. Give prob of picking 1 y and 2 e.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 - 1\/(4\/(-3036)). Suppose 235 - j = 2*t. Let b = 485 + t. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 w when two letters picked without replacement from {f: 5, w: 8, n: 4}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 92? (a) 2\/11 (b) -0.01 (c) -0.0499 (d) 1 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -8*l**2 - 3373*l - 34930. What is h(-411)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -9*b - 3. Give s(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1251?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l + l**2 + 0*l + (0 + 0 + 4*l)*(0*l + 2*l + l) + (-3*l**2 + l**2 + 0*l**2)*(3 + 0 - 1).\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 10942.907 to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.1 + 0.2. Which is the nearest to l? (a) -5 (b) -0.3 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-414)*-1*(453 + -1). Let u = -20\/23 - n. Suppose 0*x - 2\/9*x**2 + u = 0. What is x?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1124 - -776. Let k(b) = b**3 + 18*b**2 + 21*b + 56. Let w be k(-8). Let v = w + d. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-9)*(-13)\/(52\/(-84)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1 + 1 - 11\/((-88)\/32)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1994272 is divided by 316.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + 6*s. Let l be h(-5). Suppose -39*q + 2 = -41*q. Sort q, 10, 2, l in descending order.\nAnswer: 10, 2, q, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 - -59. Suppose -6*u + 3*u = -i. Suppose -2*z + 10 = 4*f, 5*f + 4*z - 4 - u = 0. Solve -f*h = -3*h - 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1488?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7895, -0.0176, -5?\nAnswer: 7895","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 9\/146?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1369367 and 24089.\nAnswer: 1853","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 376*w = 374*w + 8. Suppose w*p + 3*h = -p + 167, -5*p = -2*h - 172. What is the remainder when 54 is divided by p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 11, x: 9}. Give prob of sequence kk.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -86 and -0.079.\nAnswer: 6.794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(19\/(228\/176))\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + d**2 + 1. Let f(v) = 2*v**3 + 5*v**2 + 4*v - 4. Let o(g) = f(g) + y(g). What is the least common multiple of 10 and o(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -15*g + 129. What is d(9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1089*w**3\/4 - 3979173*w**2\/4 - 11809735*w\/4 - 8766051\/4.\nAnswer: -(w + 3651)*(33*w + 49)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 143355 and 855?\nAnswer: 430065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-366)\/244*4\/(-6) + (-2)\/(-8). Which is the fourth smallest value? (a) 2\/179 (b) -1\/3 (c) o (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2395039 is divided by 92.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.184294 months to decades.\nAnswer: 0.16820245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8107767 - 8107767 + 28*s**2.\nAnswer: 28*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -722312\/43417 + 1\/3947. Let c = -2869\/66 - z. Which is bigger: c or -28?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -497*h - 49. Suppose 2 + 1 = y + u, -2*u = -y - 12. Does 21 divide x(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 296873 = 143*r - 416840. Does 4 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -l**3*u**2*v + 7887369*l**3*u*v**3 + l**2*u**2*v**3 - l**2*u*v + 2*l**2*v**3 + u**2*v**3 - 2*u*v**3 - 827974*v**3 wrt l?\nAnswer: -6*u**2*v + 47324214*u*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/((-6)\/(-15)))\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1168411, -1168402, -1168389, -1168372?\nAnswer: -1168351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -135127 or -135126?\nAnswer: -135126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -340*d**2 - 21 - 17 + 6*d**2 + 29 + 6.\nAnswer: -334*d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 61, 70, 59, 22, -47, -154, -305?\nAnswer: -506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -193 + 345 - (-13 - -96).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -123 - -122. Let j be (3 - 2)\/((-2)\/6). Which is greater: q or j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 0 + 3 + z - 1 + 5. Suppose 2*l = -20 + 8. What is t(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26178074 and 3224.\nAnswer: 806","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xirizz. What is prob of sequence ixr?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 4 + 12. Let f(y) = -y**3 - 5*y**2 - 3*y + 3. Let p be f(g). Let i(q) = q - 1. Let h be i(p). Let c(r) = -3*r**2 - 3*r. Determine c(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 16, u: 4}. What is prob of picking 1 u and 2 p?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of f**4\/2 - f**3 - 2*f**2 + 6*f - 657. What is m(4)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in nine tenths of a kilometer?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c + 3. Let w(h) = 28*h - 48. Let z(g) = 16*s(g) + w(g). Let v(r) be the third derivative of r**5\/30 + 5*r**2. Calculate z(v(o)).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.92 + -0.08. Let o = 2.42 - 3.39. Let w = o - 1.03. What is the nearest to 1 in -4, s, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 164 and 2016.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -582447 or -582432?\nAnswer: -582447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 47089*z**3\/4 + 236313*z**2\/4 + 1086*z + 5 = 0.\nAnswer: -5, -2\/217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*q + 11*q**2 - 12*q**2 - 16*q.\nAnswer: -q**2 - 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -4, -7*n + 3*f = -22 + 5 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 5*x + 4. Let f = 361 - 359. Let y(v) = -v**2 - 11*v - 9. What is f*y(p) + 5*l(p)?\nAnswer: -2*p**2 + 3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**3 + 8*c + 146*c**2 + 0*c**3 - 151*c**2 to the form q*c**3 + o*c**2 + j + a*c and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 960900 and 76872.\nAnswer: 1921800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -984*g**2 - 878*g**2 - 845*g**2 + 3198*g**2 - 886*g**2.\nAnswer: -395*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31\/8 + -15\/4. Let s(m) be the first derivative of -27\/4*m**2 + 2 - y*m**4 - 27\/2*m - 3\/2*m**3. Determine f, given that s(f) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqddidqiddidi. Give prob of picking 3 q.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19 and 247.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 6*j**2 + 5*j - 5. Calculate u(6).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 4:40 AM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/7)\/(1\/(-1)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -149 - -154. Factor -20 + 3*h**2 - 5*h**2 + 9*h**2 - 18*h - q*h**2.\nAnswer: 2*(h - 10)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**5 + p**4 + p**2 + p - 1. Let y(t) = 13*t**5 - 6*t**4 - 6*t**2 - 46*t + 6. Let i(b) = -6*s(b) - y(b). What is the second derivative of i(w) wrt w?\nAnswer: -380*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 237 and 453266941.1993.\nAnswer: 453267178.1993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 26468 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 - -46. What is the remainder when 38 is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*o**2 + 2 + 3*o - 14*o**2 + 15*o**4 + 0*o to the form m + n*o**4 + d*o**3 + y*o**2 + u*o and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence om when two letters picked without replacement from omloloodd.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ow when two letters picked without replacement from wooowbwwbwowwb.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94551719?\nAnswer: 94551719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84271 and 46618?\nAnswer: 2191046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 91 and -4?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -28 + 22. Solve -b*y + 22 = 7 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 t, and 1 r when three letters picked without replacement from rvgvvrvrrurvtgrt?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1016 is divided by 82.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.98 + -0.02. Is 0 at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 4*i**2. Let p(h) = 3*h + 4. Let k(d) = 10*d - 38. Let b(m) = -k(m) + 4*p(m). What is x(b(s))?\nAnswer: 16*s**2 + 864*s + 11664","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 87360 and 13874?\nAnswer: 86573760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7933884 divided by -30282.\nAnswer: -262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of 0 + 4\/15*f**6 + 0*f**2 + 0*f**5 + 0*f**3 - 5\/12*f**4 + 6*f. What is the third derivative of u(d) wrt d?\nAnswer: 192*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 367 and -5097147?\nAnswer: 5097514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 13*j + 8*j - 65 = 0, 3*w - 6*w + 29 - 780 = 76*j for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27*b**5 + 1992*b**4 - 308*b**2 + 12*b - 2 wrt b.\nAnswer: -1620*b**2 + 47808*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 divided by 106.\nAnswer: -20\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 80*o - 16*o - 164 - 16*o - 31*o - 15*o as a*o + t and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/8)\/((-2)\/18). Calculate the highest common factor of x and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -131*u - 61. Give x(-3).\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -7*t - 3. Let m(d) = -1. Let u(p) = 3*m(p) - s(p). Let j(c) = 10*c**2 + 11*c**2 - 23*c**2. Determine u(j(q)).\nAnswer: -14*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1981649 + -8?\nAnswer: 1981641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1239 and 147.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*k - 30*k = 256. Let i(c) = c - 4. Let a(v) be the first derivative of v**2\/2 - 5*v - 1. What is k*i(h) - 3*a(h)?\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**2 - 9660*f + 706024 = 0.\nAnswer: -2486, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 12*c - 7*c. Let f be -2*(1 - 27\/c). Solve -3*y = 3, f*l - 4*l = 4*y + 13 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65547472?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*1 - (-11 + 10). Solve 0 = 2*s - i*k + 3, -2*s + 3 = 5*k - 18 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 31\/29 - (-378)\/(-5481). Put -23, -10, o in increasing order.\nAnswer: -23, -10, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a\/a**(-3))*a)**(-18))**(-2\/117))**(-15) assuming a is positive.\nAnswer: a**(120\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(7\/2)*n)\/(n*n**5\/n))\/(n\/n**(-2\/13)*n*n*n**(-1\/2)) assuming n is positive.\nAnswer: n**(-28\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2 + 8 = 0. Let b(f) = 5*f**2 + f**2 + h*f - 2*f. List the prime factors of b(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 413, 821, 1229, 1637?\nAnswer: 2045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 66 = -62. Suppose b = -o + h*b + 20, -o + 16 = -5*b. What is the remainder when 397 is divided by o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaaaaaaax. Give prob of sequence xaa.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 3*d**4\/7 + 3162*d**3\/7 - 3225*d**2 - 44562*d = 0.\nAnswer: -1061, -7, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (18*2\/8)\/(26\/156). Calculate the highest common divisor of 486 and s.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 782510 rounded to the nearest 10000?\nAnswer: 780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 5085*n - 44. Let g(c) = 7628*c - 71. Give -5*g(k) + 8*r(k).\nAnswer: 2540*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -86 + 169\/2. Let g = k - -3\/4. Let h = 5 - 4.7. Which is the nearest to 2? (a) h (b) g (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4429.76021 to the nearest 10.\nAnswer: 4430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 6:05 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 89498 and 7738?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o - 1. Let k be s(3). Let u(i) = -i**3 + 3*i**2 - 1. Let j be u(2). Suppose q = -2*q + 9, 5*q = -j*r + 21. Solve r*v + 0 = -k for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10561 is divided by 810.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)\/sqrt(6)*5)\/(sqrt(30)\/sqrt(12))*-1)**2.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -12*g. Let v(q) = 23*q. Give f(v(i)).\nAnswer: -276*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 530.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 9) to base 13\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 135*r**3 + 262*r.\nAnswer: 810*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 210869899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-20)\/256*((-168)\/(-98))\/(160\/112)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 10 - 60. Suppose 5*v + 34 = i. Does 36 divide (-1 - -4)*(16 + v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 44046*b**2*y - 375140*b**2 + 2*y wrt y.\nAnswer: 44046*b**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (32 - 6) + -25 + (-54 - 1) - -11?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 96614500 to the power of 1\/2, to the nearest integer?\nAnswer: 9829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53 (base 7) to base 11.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14.8 + -3.2. Let m = -17.81 - t. Let g = 0.39 - m. What is the nearest to 0 in g, 1\/6, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 342*a + 38024. List the prime factors of r(0).\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (160\/(-12))\/(5\/(-30))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/3 and 19\/233603?\nAnswer: 700809","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171453 is divided by 1618.\nAnswer: 1563","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 - (-48 + (26 - 34))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.0237 (b) -0.5 (c) -5 (d) -0.2 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 68408*h - 4172881. Determine m(61).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7486719)\/(-168) - (-6)\/1. Let o = -44568 + s. Find the common denominator of -69\/56 and o.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a**5 + 99820*a**4 + 618690880*a**3 - 50739661280*a**2 + 195531160000*a - 193054799168 = 0. What is a?\nAnswer: -12518, 2, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2869 is divided by 176?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 9*m + 2. Let t be z(-9). Let w be t - (-116001 + 12\/4). What is w rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 127, 141, 167, 211, 279, 377?\nAnswer: 511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7855 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116111?\nAnswer: 67, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z + 3*k - 15 = 7*z, -4*z = -k + 5 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of p**8\/168 - 17*p**5\/60 + 6*p**2. What is the third derivative of n(b) wrt b?\nAnswer: 120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ml when two letters picked without replacement from lmlmllm?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15)\/5 - 3\/(-3). Suppose -3*b = -4*b + 67. Calculate the remainder when b is divided by (-34 + 0\/2)\/l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 - -115\/4. Put l, -5, 0.5, 2\/27 in descending order.\nAnswer: 0.5, 2\/27, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -0.3834275.\nAnswer: 1.53371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 6:48 AM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 6 = 0, -5*t - 5*j = -0*j - 1540. Suppose 3*l - 13 = 8. Suppose l*f = 3*f + r + t, -r = 5*f - 387. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*m + 2259*m = -76*m + 260148 for m.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3469804642 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(10)\/(sqrt(15)\/sqrt(3))*4.\nAnswer: 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 + 39. Suppose 3*z - z - s = 0. Let u = z + -5. Calculate the highest common factor of u and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (-57 - (33 - (18 - 5)) - 16)?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 155320 and 2200?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131752180*f - 4650 = -131752366*f for f.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5.662558m?\nAnswer: 566.2558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18215199*a**2 + 94631*a - 106 wrt a?\nAnswer: 36430398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.302 take away 0?\nAnswer: -0.302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f - 48. Let h(t) = -t**2 + 4*t + 8. Let a(k) = -6*k**2 + 27*k + 54. Let w(n) = 4*a(n) - 27*h(n). Determine w(v(j)).\nAnswer: 3*j**2 + 288*j + 6912","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1519043917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2934347569\/1302 - -2253723. Let i = r - -1\/217. Let o = -3.4 + 1.4. What is the third biggest value in i, o, -1, 1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 565 a factor of 1019260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2*d - 65, 4*g = d - 0*d - 16. Calculate the smallest common multiple of 44 and d.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -122*x + 81*x + 113 - 728 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in -10\/19, -3\/5, -110, -0.5, 0.06, 4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1071 is divided by 641.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -9*k**4\/4 - 2*k**3 + 4*k**2 - 3*k - 179. Let l(w) = w**3 + w**2 - w. Determine c(j) + 6*l(j).\nAnswer: -3*j**3 + 2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -143 or 2?\nAnswer: -143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6849 is divided by 221.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(2\/11)*b\/b**(-2\/17))\/((b*b*b**(1\/2)*b)\/(b**4*b)) assuming b is positive.\nAnswer: b**(1421\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000658321135 to seven dps.\nAnswer: -0.0000658","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 + 5*l - 5. Let i = 0 - -6. Let n be c(i). Let s = n - -13. Solve 4*k - 14 = 4*y + y, -4*y = s*k + 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 2 z, and 1 o when four letters picked without replacement from tooozottcsz?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -836, -3361, -7570, -13463, -21040, -30301, -41246?\nAnswer: -53875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*n**4\/9 - 14*n**3\/9 + 4*n**2\/9.\nAnswer: -2*n**2*(n + 2)*(4*n - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 10011010101000011 (base 2) to base 14\nAnswer: 20bd1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of l**4\/12 + l**3\/3 - 2*l**2 + 7*l. What is the units digit of j(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 703, 704, 705?\n\"Answer: c + 702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 3*t - 4*y + 1, 4*y = -t + 18 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/18)\/(3\/12). Let b = 6.09 + -0.09. Let v = 1 - b. What is the biggest value in 3, i, v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2230 + 2201121213?\nAnswer: 2201112323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = r + 15. Suppose -40 + 40 = -r*s. Solve -5*c - 2*k + 18 = s, 2*c = 6*c - 2*k for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 151992632?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 396 = -g. Suppose -p = 3*i - 90, 2*p = 5*i - 2*i - g. Let q = i - 14. What is the remainder when 63 is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 516119.8 centuries?\nAnswer: 51611980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2 = -8. Suppose b*c + 5 = 2*l, -2*l - 3*l = 5*c - 25. Suppose 5*j - 171 = 2*m - l*m, -2*m - 126 = -4*j. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3 and -966942602.9191.\nAnswer: -966942603.2191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*d + 1 - 2*d - 3 + 3 + (-1 - 2 + 2)*(0*d - d + 0*d) - 6*d + 4*d + 7*d)*(-d + 5 - 5).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 361694\/127 - 2848. Which is bigger: u or -0.18?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.099 - 0.7271.\nAnswer: -0.6281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.890983 millimeters to micrometers.\nAnswer: 1890.983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 46.1*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from vbbbbvv.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -260 - -260. Solve x + p + 1 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three fifths of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 680.771 - -1.729. Round t to the nearest 10.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -3*q**3 + q**2 + q. Let x be f(-1). Suppose -2*l - 14 = -v, -v = 3*v + x*l - 1. What is the nearest to 0 in v, 4\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 533*b - 3560. Is 24 a factor of q(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 = -20*z - 33 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000101 + -11111100100011?\nAnswer: -11111110101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 6 and 3635 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**3\/3 + 1940*n**2\/3 + 7784*n\/3 + 7792\/3 = 0. What is n?\nAnswer: -2, 974","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -v**4\/2 + v**3 - 2*v**2 + 2*v + 522. What is t(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -29*l - 2. Let f be u(-1). Suppose f*t - 31*t + 16 = 0. Let j(y) = -3*y + 6. Give j(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 26*n**2 - 25*n - 13. Let l(r) = 6*r**2 + r + 1. Let i(o) = g(o) - 4*l(o). Determine i(15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3654905, -7309857, -10964809, -14619761, -18274713?\n\"Answer: -3654952*p + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -19, -63, -155, -313?\nAnswer: -555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + y - 2*y)*(3*y - 4*y - y) + 3000*y**2 - 4*y - 6071*y**2 + 2991*y**2.\nAnswer: -78*y**2 - 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 76629 by -25543.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(112) - (3 + 2*sqrt(112))) + (sqrt(112) - 6*-2*sqrt(112)) + (sqrt(112) - 2*(0 + sqrt(112))) + 1 + 2*sqrt(112)))**2*2*-1.\nAnswer: -1363104 + 14976*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02173 - 0.085?\nAnswer: -0.10673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-24)\/15 + 1 - 69\/(-15). Suppose 0 = z*j + 4*j - 1600. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5c4d (base 15) to base 7\nAnswer: 111166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 11\/(-4) + ((-45)\/20 - -2). Suppose 2*d + 2*d = 0. Suppose -5*k - 30 = -2*r, d*r - 4*r = 4*k + 24. Put o, k, 1 in decreasing order.\nAnswer: 1, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6\/4463, 5, 8, -3, -0.6, 4, -4\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + -7 + 3 + -3. Let t be 6*(0 + 12\/m). Let w(f) = 21*f - 18. Let x(u) = u - 1. Calculate t*x(o) + w(o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4*a**2 + 11*a + 13. Calculate l(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2583, 2609, 2637, 2667?\nAnswer: 2699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + (3 - 1) - 7. Let w(i) = -10 + i - 4*i + 3 + 0*i. Calculate the remainder when 21 is divided by w(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*v**4 + 7*v + 198 wrt v?\nAnswer: -32*v**3 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_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: What is 56001.81 millilitres in litres?\nAnswer: 56.00181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = b - 99. Let h = b - 20. Suppose 5*j + 72 - h = i, -j = 4*i - 278. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 11*w. Let n(y) = 6*y - 6. What is n(o(k))?\nAnswer: 66*k - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -3*h**3\/2 + h**2\/2 - 3*h. Let u(g) be the second derivative of -g**4\/6 - 2*g + 26. Give u(t(o)).\nAnswer: -162*o**2 + 36*o - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76371 is divided by 1356.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(91) + 1*sqrt(91)) + (sqrt(91) + (sqrt(91)*1 + sqrt(91) - sqrt(91)))*5)\/(-1*sqrt(343)*-1) + 3.\nAnswer: 3 + 6*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 0.01, 0.08, -1, 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -137.6041 to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*q = 0. Let m = 21 + -10. Suppose -l = -5*d + 3*l - 33, d - 3*l + m = q. Put d, -2, 5 in increasing order.\nAnswer: d, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x - 2*x + x - 5 - x. Let w be j(5). Solve -4*l = -5*l - 3, w = -5*t - l + 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 474*m**3 + 1707*m**2 + 5. Let o(q) = 2*q**3 - 2*q**2 + 1. Let t(v) = -g(v) + 5*o(v). Find the third derivative of t(z) wrt z.\nAnswer: -2784","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3942 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -425\/61427 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of x**7\/21 - x**6\/5 - x**3\/2 - x**2\/2 - 36*x. What is the second derivative of p(k) wrt k?\nAnswer: 40*k**3 - 72*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/3)\/(28815\/19210)?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 34880000 rounded to the nearest one million?\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8778 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - 0.039732?\nAnswer: -0.439732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10130\/3 - -3428. Let r = t + -905\/18. Find the common denominator of r and 74\/21.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 + -9. Suppose 1 = -4*x + 9. Suppose -2*b - 31 = -x*f - b, -3*f = 4*b - 41. Which is bigger: j or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*k + 3*k - 5 = 0, 2*q = -k + 10. Suppose 2*d - 4*d - 19 = 3*h, 0 = -2*h + 10. Let g = 17 + d. Solve g = -5*f + q + 15 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3*b**2 + 137*b + 60. What is the remainder when 189 is divided by y(46)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) 1 (b) 0 (c) -3 (d) -118\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rttlrrgtgrrrwrrlr. What is prob of sequence lrw?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of 7*f**4\/20 + 204*f**3\/5 + 174*f**2\/5 - f + 192. Determine d, given that m(d) = 0.\nAnswer: -58, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111306 is divided by 27823.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296724 is divided by 3674.\nAnswer: 2804","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 283741920 divided by 238840.\nAnswer: 1188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -7648776, 2\/15 in descending order.\nAnswer: 3\/5, 2\/15, -7648776","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210309 is divided by 254?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/369 + 1486\/1845. Factor -m*f**2 - 12\/5*f - 8\/5.\nAnswer: -4*(f + 1)*(f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*v*y*z**3 - 4*v*y*z**2 + 11*v*y*z - 3*v*z**3 + 29*y*z**3 + y*z**2 wrt z?\nAnswer: -24*v*y - 18*v + 174*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 2)*(-6*g**4 - 6 + 6).\nAnswer: -6*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5979*(-4 + 13\/3). Let u = -1007 + a. Let q = -589 + u. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*g + 1. Let p be (-2)\/g + -2 + 2. Let o = -4 + 6. Solve 3*f - o*f = -p for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18000 and 36900.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 471 divide 90639711?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -13*c - 32. Let q be s(-3). Let l = -20 + 55. What is the highest common divisor of l and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d - 25. Let v(t) = -1169*t - 1. Determine v(j(s)).\nAnswer: 2338*s + 29224","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of o**4\/42 + o**3\/21 - 2*o**2\/7 - 3*o - 2. Let z(q) be the first derivative of n(q). Factor z(l).\nAnswer: 2*(l - 1)*(l + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -u. Let n be (-2 - 5\/(-5))*0. Solve 2*w + 6 + n = u for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2378 - 0.1578. Is 0.88 at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 154 - 133. Find the second derivative of -43*p**2 - 15*p + 20*p + z*p + 12*p wrt p.\nAnswer: -86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 257 + 154 = 2*u + 315. What is the remainder when 115 is divided by u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - -17779691876.\nAnswer: 17779691893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - 2*n + 1. Let t be i(1). Suppose -c + 361 - 8 = t. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 7*a**2 + 5*a + 6. Let l = -27 - -19. What are the prime factors of x(l)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -0.1, -0.4, 0.0547?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 410450?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (7396\/(-375347))\/(6\/87)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - (sqrt(68)*4 - sqrt(68)))\/sqrt(4) + 5)*-6.\nAnswer: -30 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-4))\/(483\/(-184)). Let g = 14 - 13. Sort -0.1, g, i in increasing order.\nAnswer: -0.1, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -3028 = -3037?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 4*t**2 + 4*t + 18. Let g be h(-4). Let a(n) = 2*n. Give a(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 4*b + 4. Let a be k(-4). Let q(y) = -y**2 + 1. Let s be q(1). Let d be (14\/(-21))\/(1\/6). Put a, d, s in descending order.\nAnswer: a, s, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3654308424 to the power of 1\/2, to the nearest integer?\nAnswer: 60451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 4 - 21*b - 5 to the form s*b + x and give s.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 103\/(-5) - 6\/(-10). Let o(s) = s**4 - s**3 + s. Let d(f) = -12*f**4 + 14*f**3 - 2*f**2 - 10*f. Let n(u) = j*o(u) - 2*d(u). Let n(g) = 0. What is g?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 170 - 72. Let t = k + -91. Solve -3*l - l - 3*h + t = 0, h - 7 = l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 6527 = -3*d, -1948 + 10666 = 4*d + 5*p. Is 36 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54247342 times -0.7\nAnswer: -37973139.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i\/i**(-2\/3)*i)*i*i\/(i*i**(-9)*i*i*i)*i*i**(-3\/8)\/((i\/i**(3\/5))\/i) assuming i is positive.\nAnswer: i**(787\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 - 0.4. Let b = a - -1.5. Let q = -102 + 920\/9. What is the nearest to -1\/2 in b, q, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30*c**2 + 182*c - 12.\nAnswer: -2*(c - 6)*(15*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from kkqssskkk?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -15182.551*-3\nAnswer: 45547.653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of 0 - 1\/6*i**4 + 2*i**2 + 2\/15*i**5 - 1\/3*i**3 + 0*i - 7\/360*i**6. Let z(g) be the first derivative of h(g). Factor z(p).\nAnswer: -(p - 2)*(7*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24266, 24279, 24306, 24353, 24426?\nAnswer: 24531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*d**3 - 623500 - 623937 + 1247437.\nAnswer: 15*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t + 1. Let l(q) = 12*q + 3. Give -2*l(v) + 22*s(v).\nAnswer: -2*v + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -8820 - -10918.7809?\nAnswer: 2098.7809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*u + 22 = 0, l + u = 5*l - 21. Suppose 0 = 4*g + 5*d + 4, g - d = -l*d - 1. What are the prime factors of (-175)\/(-20)*(3 - g)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4525\/543*97884\/(-15). Round f to the nearest one thousand.\nAnswer: -54000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(800) - (-5 + sqrt(2)*-2)) + sqrt(22)\/(sqrt(11)*1) + (1*sqrt(18))**2 + 4.\nAnswer: 27 + 23*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1417 + 2564. Let s = v - -607. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -12*r - 120. Let u be a(-10). Solve 2*d + 5*w + 25 = u, -3*d - 1 = -4*w + 2 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5287064 and -5?\nAnswer: 26435320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -r + 256. Suppose -2*g + 4 = 0, -5*z - 4*g = -5*g - 118. Calculate the greatest common divisor of z and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -2\/5, 309\/5, -1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -155520 divided by 3?\nAnswer: -51840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14596?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.63 - 0.43. What is the smallest value in 3\/7, p, 1.1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*u = 7*u, 3*p + 6*u - u + 4 = 6*p - 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 830990 or 831468?\nAnswer: 830990","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -k**2 - 1\/4*k**4 + 2*k + 55 - k**3. Give j(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + -2)\/((-3)\/(-4)). Let j(i) = i**3 + 3*i**2 - 5*i + 2. Let n be j(h). Let b be -2 + -3*136\/(-24). Calculate the greatest common factor of n and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1034.12189 to the nearest ten.\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/765 (b) 2 (c) 0.03 (d) -16\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 16 (b) 5 (c) -0.338 (d) -3\/43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 6415, -5, 19797 in decreasing order.\nAnswer: 19797, 6415, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s - 3318 + 3393 = 0. Solve 584*g = -4*j + 589*g + 3, 4*j + s*g - 13 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 8*h**2 + 8*h - 10. Let o be m(7). Calculate the least common multiple of 5 and o\/(-1) - -4 - 4.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69138, -74418, -79698, -84978?\nAnswer: -90258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b + 512965 - 512965.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6*4\/(-28))\/(1728\/896).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133668.\nAnswer: 2, 3, 47, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 75 and (-285 - -279)\/((-6)\/50)?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 10 - 25. Let z(u) be the first derivative of 0*u**2 + 1\/15*u**3 + 1 + 0*u + 0*u**4 - 1\/25*u**c. Factor z(g).\nAnswer: -g**2*(g - 1)*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.132546013 + -12.652545316. Let f = k + 11.52. Round f to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67 * -1876\nAnswer: -125692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 - -39. Solve 0 = -6*w + z*w + 8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -0*n + n, j - 2*n + 9 = 0. Let b(g) = 0 + 1 + j + g + 5. Calculate b(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7830900 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106480*m + 9504 = 106588*m for m.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 - 172 = -61*z. Suppose 15*s - 816 = -z*s. What is the smallest common multiple of 138 and s?\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -62, -108, -170, -254, -366, -512, -698?\n\"Answer: -d**3 - 2*d**2 - 33*d - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -17 + (-19)\/(-17) + 2\/(-17). Let s(a) = -a**3 - 16*a**2 - a - 1. Let r be s(w). Suppose -13*m + 4 = -r*m. Let t(x) = -x**2 - 4*x - 3. Calculate t(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1*sqrt(320)*-2 + sqrt(320).\nAnswer: -4 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 3. Let p = 2\/33 - -56\/165. Which is the third smallest value? (a) 9 (b) p (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1111 - -200202?\nAnswer: 133031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c - 2. Let j be k(5). Let d(w) = 2*w - 6. Let r be d(5). Let x be (-14)\/(-4) - (-6)\/r. Solve -j = x*n + 7 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -3, -4, 14 in decreasing order.\nAnswer: 14, -1\/5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 7) + (6 - 14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 145\/58*(-44)\/10?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22\/57 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(16) - sqrt(64)\/(sqrt(12)\/sqrt(3))) + sqrt(16))\/(4*(sqrt(8) - sqrt(8)*2) - sqrt(8)))**2 - (sqrt(24)\/(sqrt(60)\/sqrt(5)*-6) + 3).\nAnswer: -73\/25 + sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-32)*z**(-41)*z**15\/z**(-3\/8))**31 assuming z is positive.\nAnswer: z**(-14291\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 191 - 95. Let g = -45 - -75. Calculate the lowest common multiple of 2 and 2\/(-10) + j\/g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.82, -3\/4, 5, -1, -2, 0.07 in increasing order.\nAnswer: -2, -1, -3\/4, 0.07, 0.82, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.92 - -1.42. Sort 2\/7, 83, j.\nAnswer: j, 2\/7, 83","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 19.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -66383 or -66385?\nAnswer: -66385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(11)*-2 + sqrt(11) - sqrt(121)\/sqrt(176).\nAnswer: -13*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 767433 times -0.022?\nAnswer: -16883.526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 502 + -502.4. Sort v, -1\/9, -4\/3, 3 in descending order.\nAnswer: 3, -1\/9, v, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2856 and 6528.\nAnswer: 45696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48 + -19. Calculate the greatest common divisor of 261 and y.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2640 and 5632.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -688*r + 680*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -542489\/2860387 - -123\/647. Let b = -561479\/26526 + q. Calculate the common denominator of b and (-3)\/5*(-41)\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2177980 divided by -6580\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ksykos. What is prob of sequence oy?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 1)*(-44*r**4 + 15*r**4 - 14*r**4) + r + 0*r + 2*r**4 + 0*r**4.\nAnswer: -256*r**4 + r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -298*q - 5. Let o(z) = -238*z - 4. Let h(d) = -4*n(d) + 5*o(d). Let c(b) = 496*b. Give c(h(j)).\nAnswer: 992*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**3 + 827624*x**2 - 47181182*x - 48008804 = 0.\nAnswer: -413869, -1, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 + -21. Solve 30 = -4*o + m for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-30)\/(-9) + (-520)\/156. Let r(v) be the first derivative of 3\/2*v**2 + l*v + 5. Let q(w) = -w**2. Determine q(r(h)).\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (4 - 0) + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - 3*(-4)\/3. Suppose 4 = -4*i, -m - z*i + 1339 = 2*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by -17272?\nAnswer: 11\/17272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -67?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 7*r**2 - 7*r + 7*r. Let g(q) = 8*q. Calculate t(g(i)).\nAnswer: 448*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aiatiwtaattaaillllia. What is prob of picking 1 t and 1 a?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42099044?\nAnswer: 2, 13, 37, 21881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*r + 11*r - 6*r.\nAnswer: 14*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 28309751329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -1. Find the second derivative of -r**t - 2*r + 12*r + 7*r**5 wrt r.\nAnswer: 120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 60\/9*(-30)\/(-25). Suppose -3*c + 4*b = -23, 4*c - 2*c - 2*b = 14. Suppose -u*r = -c*r - 3. Solve 0 = -5*m - 20, -r - 5 = -2*q + m for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 z when three letters picked without replacement from {z: 1, q: 1, b: 3, h: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of 4\/9*z**2 + 10 + 2\/3*z**3 - 14\/9*z**4 + 0*z. Factor v(d).\nAnswer: -2*d*(4*d + 1)*(7*d - 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from rcfvnfcnnnrfrcnn?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20860, 20959, 21058, 21157, 21256, 21355?\nAnswer: 21454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -r - 2*a - 47, -5*r + a - 213 = 0. Let t = r + 60. Suppose 24 = 5*d - s + 1, s + 8 = 2*d. Solve t = -d*k - 3 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7880 and 332?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 11*g**2 + 11*g - 17. Let q be w(-9). Let d(b) = 3*b - 2*b - q + 28. Determine d(8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m - 1. Let k(q) = q + 2 + q**2 - 4*q + q. Let r be (8 - 8)\/(3*1). Let w = r - -2. Calculate w*p(o) + k(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3853225 + 53980055\/14. Let n = f + -2489. Find the common denominator of 131\/6 and n.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4*d**2 + 14*d + 10*d + 73 - 23 + 3*d**2 - 4*d. Give i(22).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37844.3 rounded to the nearest ten?\nAnswer: 37840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c. Let y = -5\/6 - -7\/3. Let k(v) be the first derivative of 0*v - 7 + y*v**2. Determine g(k(l)).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 4*a - 3*a)*(-2*a + a - 2*a)*(4 + 0 - 1).\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 times 0.1247?\nAnswer: 3.8657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 4*b - 4*b)*(-18*b**2 - 3*b**3 + 18*b**2).\nAnswer: 6*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 2*n + 13*n. Does n = 0.024?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/6, 4\/7, -0.3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 5. Suppose 10*r - 5*r - 17 = 3*q, g*q - 14 = -3*r. Suppose 0 = r*m - 3*n - 42, -4*m - 12 = 2*n - 44. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 13*t + 153. Let s(m) = -m**2 - 9*m + 18. Does 18 divide s(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/4*4 + 1. Let d be 2 + (0 - l - 3). Let u = d - -4. Solve 0 = -3*i - 2 - 1, 0 = -u*s + i - 15 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 15) to base 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 2:02 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34 and 3007657.\nAnswer: 6015314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1323548?\nAnswer: 2, 330887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*(7 + -5) + 26 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/9 - 1 - -1. Let r(c) = 3*c + 27. Let a be r(-9). Is k < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*a + 2*a + 2*a)*(-60629 + 703*a + 60629) + (-19 + 19 - 16*a)*(-a - 2*a + a).\nAnswer: -1374*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -742 (base 8) in base 12?\nAnswer: -342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10051524 (base 6) to base 2\nAnswer: 1000110000001101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0161218 and -450?\nAnswer: 449.9838782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 9:10 AM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3727\/668 - 2\/501. Calculate the common denominator of m and 31\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176398928 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -78, -143, -204, -261?\nAnswer: -314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (3902\/3902)\/(1\/(19*-1))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 781? (a) -1\/3 (b) 0.07 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -37, -73, -137, -235, -373, -557?\n\"Answer: -v**3 - 8*v**2 - 5*v - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) -3 (c) 18\/7 (d) -3\/7 (e) 6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27832 and 1913947.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121201022 - 10?\nAnswer: -121201102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*1\/(2\/3). Let s be 881\/p - (-1)\/(-3). Is (-2)\/(-10) - s\/5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6767, 13455, 20063, 26591?\nAnswer: 33039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2589, -2610, -2645, -2700, -2781?\n\"Answer: -d**3 - d**2 - 11*d - 2576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -435 by 1.\nAnswer: -435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 35, 102, 207, 356, 555, 810, 1127?\nAnswer: 1512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 0 in decreasing order.\nAnswer: 5, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 19999.94cm?\nAnswer: 199.9994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 6*d + 7. Let v be b(4). Let z(u) = 8*u - 1. Let q(n) = -16*n + 2. Let t(l) = 2*q(l) + 5*z(l). Calculate t(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1403*h - 568*h = 29075 - 3452 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 8 - 2. Suppose -60 = 16*p - 21*p. What is the lowest common multiple of p and 3*2*(-2)\/r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 94865 divided by -5\nAnswer: -18973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 411 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + -1 + 4)*(-130)\/(-3). Suppose i - 3*h - q = 0, 5*h + 25 = 2*i - 230. What are the prime factors of i?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - h = -4 + 12, -3*c + 3*h = 24. Let m(b) = -b**3 - b**2 + b - 11. Let d be m(0). Let a = c - d. Is 3 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -9*t + 60. Give g(16).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 4. Suppose 1 = -s + u. Let 0 + s*m + 2*m**2 + 3 - 3 = 0. What is m?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -4*q - 24, -5*b = -5*q - 27 - 8. Let a be b\/6*(-720)\/(-32). Let v(x) = -x**2 + 18*x - 33. Let l be v(a). Sort l, 1, -4, -2 in decreasing order.\nAnswer: l, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + (-50)\/(6 - 16))\/(3\/(-33))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -11852 and 41675549.\nAnswer: 41663697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45845, 91794, 137947, 184406, 231273?\nAnswer: 278650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 3)*(-2338*y + 4408*y + 2762*y) to d*y + b and give d.\nAnswer: 14496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 4. Let u = -2771\/5 - -554. Which is the closest to g? (a) 2 (b) u (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of -x**7\/420 - x**6\/48 - x**5\/40 + 5*x**4\/48 + x**3\/3 - 184*x**2 + 2. Factor l(z).\nAnswer: -(z - 1)*(z + 1)**2*(z + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 85 - 35?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 15, 53, 119, 213?\n\"Answer: 14*s**2 - 4*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -419*u - 20 = -423*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7448118 and 0.2.\nAnswer: -1489623.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1027\/26 + 8 + (-279)\/18 + 7.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of 71*r**5\/30 - 3*r**4\/8 + 3*r**3\/2 - 6*r**2 + 19*r. What are the prime factors of o(3)?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 168407?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.6 - -1.5. Let c = 1 + b. Put 4\/7, 3, c in increasing order.\nAnswer: c, 4\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38418 + 38417.9. Which is the nearest to p? (a) -1\/50 (b) 2 (c) 0.21 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3699.82756 to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*-28*15\/(-12) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, 0, -0.5, 0.2 in ascending order.\nAnswer: -0.5, -1\/6, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)\/sqrt(3) + sqrt(52) + -3 - sqrt(52))**2.\nAnswer: -12*sqrt(13) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i + i - 2*i + 3*i. Let f(l) = l. Calculate p(f(b)).\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1.35939*3\nAnswer: 4.07817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 - -17?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3 - 2897152*o**2 - 8691604*o + 81120592.\nAnswer: 4*(o - 724291)*(o - 4)*(o + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -86.6 - -86. Let b = 7\/5 - 71\/40. Sort -2\/5, l, b in decreasing order.\nAnswer: b, -2\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 11:38 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4191, 2 in descending order.\nAnswer: 4191, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 24569, 24568, 24567, 24566, 24565?\n\"Answer: -a + 24570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4a21 (base 13) to base 2.\nAnswer: -10100100001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 - (5 - 0) - (-99 - -101).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 516?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 118 = w, -3*b + 2 = -5*b. List the prime factors of w.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000963401 rounded to four dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 30458489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 2. Let c be ((-6)\/(-4))\/((-2)\/p). Let u be (-14)\/(-6) - (-1)\/c. Which is smaller: 3\/2 or u?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -153*l - 395. Calculate n(-5).\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-65)\/(1235\/(-114)))\/(66\/22))\/(2\/87).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2720)\/(-2448))\/((-4)\/(-18))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/25 of a century?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -23.3 (b) -4 (c) -10 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 2*f + 6. Let i be l(0). Solve -25 = -r + i*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3304 divided by -56?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c1d - c35?\nAnswer: -1a54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z - 3*z + 5*x + 45, 0 = -5*x - 6088 + 6113 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2367947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(128) + sqrt(128) + sqrt(128) + -1 + 0 + 2 + sqrt(128) + -1 + 5)**2.\nAnswer: 2048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**2 - 2*w**3 - w**4 - 4*w**4 + 10*w**4 to i*w + j + a*w**4 + l*w**2 + c*w**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1489*o**5 - 4*o**2 + 242*o wrt o?\nAnswer: 89340*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4*i - 1 - 5 = 0, -3*i + 27 = 2*l. Let g(s) = s. Let u be g(0). Suppose u = 2*z - 5*k - 89, -z + 2*k - l = -53. List the prime factors of z.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 34 - 38 = 0. Suppose 6438 - 16374 = -n*z. Is 24 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 269097, 538192, 807285, 1076376, 1345465?\nAnswer: 1614552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5*x = -13, -1 - 8 = -3*l + x. Suppose 0 = 3*o + l*o - 10. Let 0*q**5 + 0*q**3 - o*q**4 + q**3 + q**5 = 0. What is q?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 1 - 2*o**2 - 1 - 1 + 4*o - 1. What is w(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 39140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 192, 189, 186, 183?\n\"Answer: -3*n + 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17455 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 15.7 from 0.618236.\nAnswer: -15.081764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, -0.103, -3, 0.4, 0.2 in descending order.\nAnswer: 0.4, 0.2, -0.103, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -15, 34, -2, 0 in decreasing order.\nAnswer: 34, 3, 0, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-2 + 5\/4). Suppose -z + k = -5*z. What is the common denominator of 3\/8 and z\/(-12) - (-805)\/(-60)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -179*t**2 - 99*t**2 + 151*t**2 - 627*t**2 + (0 + 2 - 3)*(2*t**2 - 4*t**2 + 3*t**2) + (-2*t - 4*t - 5*t)*(0*t - t + 6*t).\nAnswer: -810*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 498 = -506 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 1)*(1 + 4 - 3)*(-2*p - 25*p + 85*p) + (0*p - 3*p + 5*p)*(1 + 0 + 2).\nAnswer: -110*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -1100000000?\nAnswer: -1100000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 20 = -4*q, -631*q + 635*q - 4*m = -4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 131344*v**2 + 62951?\nAnswer: 262688*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 0.1 (c) -310418344\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**2*r**3 - 9*f**2*r**2*y**2 - 11*f*r**3*y + f*y + 276*r**3*y**2 + r**3*y wrt y?\nAnswer: -18*f**2*r**2 + 552*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*x = 32*x - 210. Put -101, -4, x, -2 in ascending order.\nAnswer: -101, -4, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 2. Let m be 7\/(-28) + (-46)\/(-56). Which is the second biggest value? (a) n (b) m (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**3 + 3*o**2 + o + 1. Let z be (-5 + 14)*(-1)\/(-9). Let p(j) = -3 + 0 - z + 25*j - 24*j. Let l be p(2). What is w(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v - 18*v**2 + 6*v**3 - 30*v**2 - 17*v**2 + 65*v**2.\nAnswer: 6*v**3 - v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -240102, -240117, -240132, -240147?\nAnswer: -240162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x**5\/2 + 975*x**4 + 4930*x**3 + 2975*x**2 - 9855*x\/2 - 3950 = 0.\nAnswer: -4, -1, 1, 395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/14)\/((-999)\/31080*-30)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g + 2*g - 2*g**2)*(-g**2 + 2*g**2 + 0*g**2) - 998*g**2 + g - 13*g**4 + 998*g**2 as w*g**2 + l*g**4 + c*g**3 + i + v*g and give l.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 36394946207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -73001053*r**4 - 2*r + 49234764.\nAnswer: -876012636*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d**2 - 132*d - 2176. Let h(g) = 4*g**2 + 264*g + 4351. Let c be ((-6)\/(-27))\/(2\/18). Let o(b) = c*h(b) + 5*x(b). Factor o(m).\nAnswer: -2*(m + 33)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 11*b + 77. Suppose w - 19 = 23. Calculate the remainder when w is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1824308?\nAnswer: 2, 167, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4352664792 to the power of 1\/3, to the nearest integer?\nAnswer: 1633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 749721 and 637203.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -19. Find the third derivative of 6*v**2 + n*v**4 - 2*v**2 + 7*v**5 - 2*v**4 wrt v.\nAnswer: 420*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17 and 232716?\nAnswer: -3956172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005057314 to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4793222?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 92? (a) 3 (b) -9 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 85\/180 + 4\/(-18). Factor 0 - c*r**2 + 1\/4*r**3 + 0*r.\nAnswer: r**2*(r - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157*l - 98 - 110 + 208 + 11*l.\nAnswer: 168*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, f: 3, u: 4}. What is prob of sequence fu?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 7336, 4, -53.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 10*h**2 - 19*h + 27. Let m be v(6). Differentiate -28*c - 32*c - 8 + m*c with respect to c.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + m**2 - 3*m + 1. Let d be f(-2). Suppose -5*l - 10 - 20 = -5*u, 0 = -d*l + u - 8. Put 0, 3, l in ascending order.\nAnswer: l, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 10280000 = 2*a, 2*a + i - 2144495 = -12424495. What is a rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -2*y - 30. Suppose -553 = -y*m + 3*m. Calculate the remainder when m is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u + 4. Let a(m) = m - 3. Let s(q) = -8*a(q) - 6*v(q). Let h(b) be the first derivative of 57*b**2 - 41. What is h(s(o))?\nAnswer: -228*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56469.\nAnswer: 3, 7, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-26)\/(-5))\/(2*(-4)\/40). Let l(r) = r - 3. Let y(s) = -4*s + 13. Let u(v) = c*l(v) - 6*y(v). Let w(q) = 31*q**2. Calculate w(u(f)).\nAnswer: 124*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of w**6\/120 + 8*w**5\/5 + 128*w**4 + 16384*w**3\/3 - 210*w**2. Determine r, given that j(r) = 0.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.888 + 0.112. What is the biggest value in -0.2, o, -0.01?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t. Let o(w) be the first derivative of 3*w**2\/2 + 10. Give n(o(m)).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -b, 0*h - b = 5*h + 67. Let v(d) = -d**3 - d**2 - 4*d - 4. Let g be v(-4). Suppose 6*q = g - 30. Put h, q, 4, -1 in decreasing order.\nAnswer: q, 4, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2632320 divided by -2285.\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j - 10. Let n(r) = -30*r + 87. Give 9*m(s) + n(s).\nAnswer: -21*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + 0. Suppose 0 = 5*i + 4*r - b, 2*i = 5*r + 1 + 22. Find the second derivative of 5*d**2 - d + i*d - 4*d wrt d.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 118 - 117.97. Let r = h + -0.03. Which is the nearest to 0? (a) -1 (b) r (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/5 or 0.047?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*w + 3*w**2 - 2*w**2 + 0*w)*(0 - 5*w + 0 + (-3*w + 0*w + 2*w)*(-3 + 2 - 1)).\nAnswer: -3*w**3 - 6*w**2 + 9*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/3*33\/(-4). Solve -6 = -4*s - a for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 5:16 PM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (11\/(66\/(-12)))\/((-12)\/10). Put 3, 2, h in increasing order.\nAnswer: h, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/7 and -10\/16295127?\nAnswer: 114065889","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5\/(-2))\/((-30)\/24). Suppose 0 = -4*d + 3*p - z + 47, -p = -d + 12. Is 3 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 118, 114, 106, 94, 78, 58, 34?\n\"Answer: -2*s**2 + 2*s + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/2167 and -49\/485771.\nAnswer: 95696887","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1802264, -3604531, -5406798, -7209065, -9011332?\nAnswer: -10813599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5336 is divided by 152?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1730*m**2\/7 - 18868*m\/7 + 30816\/7.\nAnswer: 2*(m - 2)*(865*m - 7704)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of d**7\/126 + d**6\/45 + d**5\/60 - 8*d. Determine r so that s(r) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.025 or 0.1?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4030032211 + -2?\nAnswer: 4030032204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -778\/237 or -8.3?\nAnswer: -778\/237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 8*g + 11. Is s(8) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, g: 7, f: 3}. What is prob of picking 1 f and 3 g?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 4 + (-33 - -31) + 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/(-56)*7\/(-9)*(-4225)\/2535?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9493 or -8735?\nAnswer: -8735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3089520 divided by -168.\nAnswer: 18390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/10 in 1\/4, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3496 + -1756. What is i rounded to the nearest 100?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 14455, 57810, 130069, 231232?\n\"Answer: 14452*s**2 - s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b - 274?\nAnswer: -267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -513210 + -5?\nAnswer: -513215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/6 in -2\/15, -31, 0.3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 9*o + 3 + 4 - 1. Let v be (-4)\/4*-13 + 8\/(-1). What is the units digit of n(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -30136 at least -30136?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*l**3 + 26*l**3 + 33*l**3 - 46 + 95.\nAnswer: 19*l**3 + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 465 is divided by 226.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*o + 306*o + 71*o = -373*o - 50820 for o.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9387 + 28385. Let u = -18998.30066 + g. Let k = u + 0.3. Round k to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -329120 + 8949020. What is o rounded to the nearest 100000?\nAnswer: 8600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1107 - 275. Calculate the greatest common factor of 128 and f.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 40 = m. Let g be (-177)\/120 + 5\/(-2) + m. Suppose 3*x + x = 0. Which is smaller: g or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 35247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4*z + 11 + 8 + z - 6 + 11*z**3. Let w(f) = 16*f**3 + 7*f + 19. Let u(c) = -7*q(c) + 5*w(c). What is the first derivative of u(i) wrt i?\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 62906 and 252334?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 206538 and 16008.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*k - 15 = 109*k. Solve 4*p + 2*h + h = -7, -3*h = -k*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-11)\/(-132)*(8\/5 - 0). Let b = 29\/105 - u. Sort -3, -5, b, 2 in increasing order.\nAnswer: -5, -3, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -449*z + 3371 = 345*z - 2981 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.8 + 0.8. Let z = -2 + c. Which is smaller: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**3 - b**2 - 3. Let y(h) = 2*h**3 + 4*h + h**2 - 4*h + 2. Suppose -7*d + 2*n + 2 = -5*d, -3*n - 27 = 5*d. Calculate d*y(c) - 2*g(c).\nAnswer: -2*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -6*a + 0*a**2 - 4 + 2\/3*a**3. Differentiate b(s) wrt s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 2*x - 1. Let r = 12 + -13. Let k(d) = -d**3. What is the smallest common multiple of s(4) and k(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a week in hours?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -54 - -247. What is the remainder when j is divided by 85?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*v - 4\/5 + 1\/5*v**2.\nAnswer: (v - 2)*(v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*r + 0*r + 28 = 0, r + 5 = 0. Suppose 2*n + 1 = n. Put 4, c, n in decreasing order.\nAnswer: 4, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of 11*l**6\/15 - l**5\/60 - 11*l**4\/8 + 34*l**3\/3 + 121*l**2 + 1. Let y be f(2). What is the highest common divisor of y and 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -859482 by -3.\nAnswer: 286494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 5363.208 years?\nAnswer: 5.363208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22027\/1375 + -43\/125. Let t = g - -174\/11. Find the common denominator of t and -69\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*b**4 - 1820*b**3 - 22272*b**2 - 67120*b - 59776 = 0. What is b?\nAnswer: -8, -2, 467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s - 10575610 + 10575610.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 14, 31, 54?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1942*i**2 - 308*i**2 - 770*i**2)*(-4 + 3 + 2)*(-2*i**2 + 0*i**2 + 3*i**2)*(-1 + 2 - 2).\nAnswer: -864*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -420 rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -11 + 114*z - 193*z + 95*z. Let t be d(2). What is t rounded to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -12*z + 6*z + 3*z + 24*z. Let c(a) = -5*a**2. Give p(c(n)).\nAnswer: -105*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 2*d - 0*n - 22, -3*d = 4*n + 1. Let o = d + -4. Suppose -4*f + 1 - 13 = 5*s, -4*s + 2*f = 20. Sort -3, s, o.\nAnswer: s, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1828430 and 8?\nAnswer: 7313720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(-220)*-30*6\/4*-16\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*k - 69*k = -4*o - 67, 2*o + 5*k = -1 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 - 17. Suppose 9*i = -5*f + 4*i + 55, -i + 33 = 3*f. Is f equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -52 or -57?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*n + 28*n - 43*n to the form l*n + i and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 943 - 737. Let v = 206.46 - r. Which is the third smallest value? (a) -1 (b) -2\/13 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5257 divided by 4?\nAnswer: -5257\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 45047*a + 3018157. Give p(-67).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/6*(-2520)\/(-2835).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a millennium in centuries?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 1535 = 155. Suppose f*p = 351*p - 804. What is the remainder when p is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2*(-8)\/120)\/(7\/10). Let h = 2.6 - 3. What is the smallest value in c, 0.2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u - 15 = 7*u. Suppose -f = -r + 81, -5*r - u*f + 582 = 207. What are the prime factors of r?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i**5 - 4188121*i**4 + 2*i**3 - i + 50099645.\nAnswer: 40*i**3 - 50257452*i**2 + 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -34226 or -34225?\nAnswer: -34225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3211624767?\nAnswer: 3, 13, 5119, 16087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2 - 632061*s - 1264134.\nAnswer: 3*(s - 210689)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 658 divide 2438548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81381504 and 768?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(-4 - -4 - -1). Suppose 3*k = 2*k + 3. Suppose z*w = w + k. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160)\/(3*sqrt(10)))\/sqrt(8).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 a factor of 5308335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -75*x**3 - 2*x**2 - 4*x - 3. Let a be r(-2). Let s = -251 + a. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: e41 (base 16) to base 14\nAnswer: 1489","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y - 4. Let i(v) = 3*v - 171 + 67 + 11*v. Let t be i(8). What is u(t)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.471872 rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v - 49. Let o(r) = 6*r - 146. Calculate 11*h(y) - 4*o(y).\nAnswer: -2*y + 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.500347 millennia to months.\nAnswer: 6004.164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - 16.035?\nAnswer: -16.535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -25\/1932983 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a - 2*h - 4, 7162*a - 7166*a - 5*h - 34 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-46)\/46)\/((3\/2)\/(-3))*580\/(-58).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220 - 12122001222?\nAnswer: -12122002212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**4 + 2*g**4 + 0*g**4)*(-113 + 46 - 57)*(-4 + 2 + 3)*(1 - 26 - 4).\nAnswer: 7192*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 + 0.1. Let n = 170\/29 - 539\/87. What is the second smallest value in j, n, -0.1, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.900289 rounded to 1 dp?\nAnswer: -13.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 2*f**2 + 4*f - 5. Let x be o(-4). Let p = 180 - 59. What is the highest common divisor of p and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.75 to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) -12 (c) -3181 (d) -55.75\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56, 7, -5 in increasing order.\nAnswer: -5, 7, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00443 rounded to four dps?\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 37*d**2. Let x(m) = -5*m**2 + 2. Let j(z) = -18*z**2 + 7. Let i(n) = -6*j(n) + 21*x(n). Give k(i(g)).\nAnswer: 333*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 142431 (base 6) to base 12\nAnswer: 7a17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 179516*j**2*y**2 - 157843065*j**2 + 84*j*y**3 + 2 with respect to y.\nAnswer: 359032*j**2*y + 252*j*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3b845 - 284?\nAnswer: 3b5a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 71 - 39. Suppose -f - 4*f - 4*w - 67 = 0, -5*w + 55 = -3*f. Let q = f + 27. Calculate the remainder when y is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 2\/9, 1661?\nAnswer: 1661","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 88271 = h - t, 5*h = 2*t + 441436. Suppose -145999 = -15*f + h. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -78664409, -157328823, -235993237, -314657651?\n\"Answer: -78664414*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3697 divided by -10\nAnswer: 3697\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 545429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - 13. Let b(a) be the first derivative of 2*a**3\/3 - 3*a**2\/2 + 2*a + 1. What is the tens digit of b(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p. Let a(f) = -19*f - 4. Let o(k) = -22*k - 4. Let b(s) = 3*a(s) - 4*o(s). Let q = 11 - 15. Let c(j) = -1. Let w(g) = q*c(g) - b(g). Give d(w(h)).\nAnswer: 31*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/231)\/(3404\/(-3036))\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 - 2)*(0*v - 2*v + 0*v) + (6*v - 6*v - 7*v)*(0 + 2 + 0) as k*v + d and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.3 (b) 3 (c) 959 (d) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 213418433 to the nearest integer?\nAnswer: 598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -111633.859 rounded to the nearest one thousand?\nAnswer: -112000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -15, 2049, 44\/9?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 4*c**2 + 17*c + 20. Let u be m(-3). Solve -r + 3*r - 9 = j, -u*j - 18 = -r for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000152073 rounded to 7 decimal places?\nAnswer: 0.0000152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/3*18\/24. Let n be (30\/18 - 5)*3\/h. Solve -n*a = 6 - 26 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20? (a) -0.1 (b) 3\/5 (c) 2 (d) -5\/12 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 714599806*q + 853942132 wrt q.\nAnswer: 714599806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -133*c**3*g - 40*c**3 - 5457*c**2 + 3*c*g - c + g wrt c?\nAnswer: -798*g - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.01 or -225?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3281, 0.5, -6\/5, -12, 5.\nAnswer: -12, -6\/5, 0.5, 5, 3281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**2 - t - 1. Let l = 187 - 188. Let b(m) = -m - 1. Let y(h) = l*p(h) + b(h). Let i(u) = 3*u**2. Determine i(y(n)).\nAnswer: 12*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 4:03 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fcefccfffffcffcfcf. Give prob of picking 3 f and 1 c.\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 7, -1229, -0.5, -0.4 in decreasing order.\nAnswer: 7, -0.4, -0.5, -3\/4, -1229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -262, -1, -708, 61, -2 in decreasing order.\nAnswer: 61, -1, -2, -262, -708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -54*y - 14. Determine x(28).\nAnswer: -1526","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1523.9 + -1524. Let l = 18 + -22. Which is the second smallest value? (a) l (b) -0.16 (c) 4 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 919794087?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -90*l**2 - 400*l - 42. Determine z(-5).\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 732768, 1465735, 2198702, 2931669, 3664636, 4397603?\nAnswer: 5130570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/((-60)\/(18480\/(-44))).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 121258?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48907.0145 - -48960. Let i = -53 + s. Let u = i - -0.0358. What is u rounded to three dps?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 2*r**2 - r + 94. Let d be w(0). Let s = -92 + d. Solve t + 2*p = -1 - 1, t + s = -3*p for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 3*s - 2. Sort 2, 14, 0, s in increasing order.\nAnswer: s, 0, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -219 - 23987*f**2 + 219.\nAnswer: -23987*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 698 + 503. Is 74 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 112100?\nAnswer: -112044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 4*m**2 - 2*m - 2. Let x = 12774 + -12779. Determine b(x).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b - 52 = -10*b + 2*c, 3*b - 4*c = 19 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00022992 to five dps.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of 53*z**4\/12 + 7*z**3\/3 - 23*z**2\/2 - 44*z. Is x(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 14) in base 6?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3010332202 (base 4) to base 2\nAnswer: -11000100111110100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 511 is divided by 47.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 73 - 217\/3. Let k = -173.0092 - -0.0092. Let j = -175 - k. Put -2\/5, n, j in decreasing order.\nAnswer: n, -2\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -166 or -164?\nAnswer: -164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28 or 0.93?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3022076.\nAnswer: 2, 439, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of l**4\/12 - l**2\/2 + 1. Let v(p) be the second derivative of q(p). Let n(o) = 7*o. What is v(n(r))?\nAnswer: 14*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49 + 63. Factor k*c - 14*c + 20 - 4*c**2 + 11*c + 5*c.\nAnswer: -4*(c - 5)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -7*z - 63. Let f(l) be the second derivative of l**5\/20 - l**4\/4 + 2*l**3\/3 + 2*l**2 - l. Calculate the smallest common multiple of f(z) and 18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 15*w**2 - w + 22. Let g be o(15). Suppose -g*d = -45 + 3. Solve a + d - 1 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4819838 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -49, -2\/13, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7725893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7744 to 2 decimal places.\nAnswer: -0.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15895*j + 31287*j - 15557*j.\nAnswer: -165*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, h: 2}. What is prob of sequence hkkh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -20*q**3 - 32*q**2 - 4*q - 63. Let n(a) = -11*a**3 - 18*a**2 - 2*a - 33. Give -7*n(s) + 4*p(s).\nAnswer: -3*s**3 - 2*s**2 - 2*s - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**5 + 1 - 1)*(-4 + 2 + 0) + 5827*z**4 - 3*z**5 + 2 - 5827*z**4 + (4 - 4 + 2*z**2)*(0*z**2 - 2*z**3 + 0*z**2).\nAnswer: -5*z**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -393*m - 69069 = -75357 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 j when three letters picked without replacement from {i: 5, j: 8, n: 4}?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**4 + 4*z**2 - 4*z**2 + (23*z - 5 + 5)*(2*z**3 - 8*z**3 + 3*z**3).\nAnswer: -70*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 729*b + 570*b - 80*b.\nAnswer: 1219*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 21*p**2 - p - 22. Determine a(-21).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(2\/5)*q)\/q*q**3)**6)**(-39) assuming q is positive.\nAnswer: q**(-3978\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 2*h + 155, 2*h = h - 1. Suppose 0*u + 3*u - q = 0. Is u a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -344, 1.1, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 634560 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(-28) + (-156)\/21. Let z(p) = -1 - 4*p + 0 - 5 + 2*p. Let d be z(-5). Let b(k) = 3*k. Let h(a) = 5*a. Determine d*h(y) + g*b(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + ((-231)\/(-132))\/(76\/(-80))?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - -1)*10\/(-20). Suppose -5*a + 16 - 1 = f. Suppose 0 = 5*h - y - 16, 0 = 3*y - 0*y + a. Do h and 1\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -30 (b) 2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 59 = -97. Let l(j) = -d - 2*j + 43 + j. Give l(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/168 and 43\/45892.\nAnswer: 275352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*4\/(-16)*2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -51.48 rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 234*b**3 - 2524921\/2 + 371826*b - 1\/2*b**4 - 28967*b**2.\nAnswer: -(b - 227)**2*(b - 7)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*t = 30*t - 800 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 + 22. Let d(t) be the third derivative of t**5\/60 + t**4\/24 - t**3\/6 + t**2. Let h(g) = -g**2 + 1. Calculate j*d(s) + h(s).\nAnswer: -2*s**2 - s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, 1, -1.\nAnswer: -1, 1, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 327 + -326. Suppose 0 = -17*b + 1 - w. Suppose 4*i + 2*r - 20 = 0, 2*i - 5*r + 21 = 7. Solve 0 = -f - b - i for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97.95351 millilitres to litres.\nAnswer: 0.09795351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2623 and 3143?\nAnswer: 8244089","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 0*k - 24 = 5*k, 4*k + 16 = 0. Suppose -j*o = -o - 43. What is the remainder when o is divided by 1*(16 - (1 + 0))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**2 - 28*n - 3. Let t(u) = -22*u - 1. Give 5*t(j) - 4*w(j).\nAnswer: 8*j**2 + 2*j + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 times 281014\nAnswer: -8430.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w + 5. Give z(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 10*b + 13. Let p be c(4). Let z(x) = p*x + 4 - 44*x - 4. Let y(t) be the second derivative of -t**4\/6 + 136*t. Determine z(y(i)).\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-10 - -15) - -17.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, t: 1, q: 1, x: 1, c: 3, z: 3}. Give prob of picking 2 h.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*(-7)\/42*1\/4. What is the closest to -1\/4 in v, 3, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 4*o + n - 5, 2*o + 5*n = -15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 685*x + 6933 - 3433 + 13625 for x.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -15*s - 208. Calculate i(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 48\/101 or 2\/15?\nAnswer: 48\/101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4)*(g*g*g\/g**(1\/11)*g)\/g)\/(g**(2\/5)*g)**(1\/5)*(g**(2\/5))**(-24\/7)\/(g**1*g)**(-27) assuming g is positive.\nAnswer: g**(98671\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u = 2*t - 5*u - 24, -5*t + 3*u = 2. Suppose t*a + 3*a - 2*n = 379, -2*n - 79 = -a. Is a a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 87601086.9294 + -87585309. Let y = -15890.929447 + d. Let u = -113 - y. What is u rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1206603656 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231 = -9*b + 57. Suppose -37*t = -b*t - 155. What is the second derivative of -2*f + 13*f**5 - t*f - 29*f**5 wrt f?\nAnswer: -320*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*d + 14*d - 44 - 29 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2\/5 + 1817452*k\/5 - 3634888\/5.\nAnswer: -4*(k - 454361)*(k - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 190.0751 nanograms in tonnes?\nAnswer: 0.0000000000001900751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6345 (base 15) to base 11\nAnswer: -14852","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 6675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -127 (base 9) to base 6.\nAnswer: -254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f**2 - 26*f - 17. Let r be y(9). Suppose 44 = -b + 5*b. Let i = b + r. Solve -4*g - 24 = -m, -3 = i*m - 0*g + 3*g for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.66 + -1.04. Let t = 7 - 14. Let p = r - t. Which is the second biggest value? (a) p (b) -0.2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136644 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13428?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62920487?\nAnswer: 7, 53, 181, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r - 23. Let f = 6 + -16. Let z be g(f). Sort 2, -5, z in descending order.\nAnswer: 2, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2089792887?\nAnswer: 3, 7, 13, 7654919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.1, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 10:27 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 - -0.2. What is the closest to -2\/5 in -0.4, i, -0.06?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 3*s - 3 = 0, 1 = -4*w + s - 8 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -3*s + 8, -l + 3*l = s. Suppose 29 = -c + s*n, 5*c - 3*n + 85 = 2*n. What is the third smallest value in 0, c, -3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*f = 14*f - 28 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/83 > -0.8102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 199, 4.\nAnswer: 1, 4, 199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -177.13?\nAnswer: -185.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30993419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(1088) + 1 - sqrt(17))**2.\nAnswer: -5004 - 84*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 21*n + 7. Let t(o) = -11*o - 4. Calculate -4*k(f) - 7*t(f).\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**2 + 24 + 25 - 49.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12747224 equal to 12747224?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) 0.2 (c) -1 (d) -11 (e) 0.1 (f) 57\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.119, -8, 4, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 92323 and 492898?\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(2\/18 - 0). Let z(o) = o**2 - o - 7. Let k be z(0). Let m = r - k. Which is smaller: m or -2\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5209 - 5185.01. Let s = -24 + d. What is the closest to -2\/5 in -4, -3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6620907007 to the nearest integer?\nAnswer: 81369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2649959 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n + 1. Suppose 4*j - 4 = -4*v, 5*j - 27 = 5*v + 8. Let q(a) = a. Calculate v*g(t) + 2*q(t).\nAnswer: -4*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -89939 - 9?\nAnswer: -89943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1008 + 871. Which is greater: g or -130?\nAnswer: -130","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(10\/(-73084)) + ((-234)\/65)\/9 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 547 a factor of 26208411?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**3 + 43*d**2 - 2672*d - 44002. Give p(-41).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 9:14 PM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of 0*r + 1\/60*r**5 + 2\/15*r**3 + 3\/40*r**4 - 22*r**2 + 0. Solve p(x) = 0 for x.\nAnswer: -1, -4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 13*a + 1014. Let f be m(-78). Let p(j) be the second derivative of -24*j + f - 7\/6*j**3 - j**4 + 0*j**2. What is the second derivative of p(s) wrt s?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -7*m**3\/6 - 3*m**2 + 31*m. What is the remainder when h(-15) is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16062 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 4*m - 2. Suppose 2*j + 2*i = 8, 4*j + 3*i = i + 12. Give h(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 329.8 - 330. Put -1\/4, z, 9, 0.5 in increasing order.\nAnswer: -1\/4, z, 0.5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34542, -138273, -311166, -553227, -864462, -1244877, -1694478?\nAnswer: -2213271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 9:10 AM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -586\/147 + 88\/49. What is the common denominator of 43\/3 and f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2*(-2)\/(-5))\/(6\/900). What is the tens digit of (0 - -7)*w\/(-28) + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 98750844 and -0.4.\nAnswer: -39500337.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k**3 - 11*k**2 + 4*k. Let l be n(-4). Calculate the remainder when 367 is divided by (-8 - (-77 + -6)) + (l - 1).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 - 38?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m**3 - 4*m**3 + 4*m**3)*((-6*m + 3*m + 2*m)*(1 - 1 + 1) + 0*m - 2*m + 0*m + (1 - 2 + 2)*(-2*m + 4*m - 4*m)).\nAnswer: -20*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/1 - (3 + 1 + -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 8 - 42 = 0. Suppose 5*g - o = 0, 2*j - 6*j + 6 = 3*g. What is the third derivative of j*y**4 + 0*y**2 + 2*y**2 + 2*y**4 wrt y?\nAnswer: 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70814448 - -1.61?\nAnswer: 70814449.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4*g**2 - 94*g + 622. Give f(8).\nAnswer: -386","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 5*s = -36. Suppose s*g + 12 = -0*g. Is -14\/11 < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6 - -3)\/1 - -24. Let a = 20 - o. Let k(b) = -14*b**2 - 10*b - 14. Let u(w) = 2*w - 3*w - 1 + 2*w**2 - 3*w**2. Give a*k(v) + 12*u(v).\nAnswer: 2*v**2 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2124 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 14) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 9:16 PM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*g**2*i**3 + 4*g**2*i*z - 2*g*i**3*z + g*i**3 - 29*i**2*z + 2*i*z - i wrt i.\nAnswer: -18*g**2 - 12*g*z + 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4246377, -4246386, -4246395?\n\"Answer: -9*q - 4246368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k - 4. Let w be q(-9). What is the highest common divisor of 40 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 643*t = -2234*t - 24755 - 139234 for t.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -155*(-146)\/147095 + 64\/(-442)?\nAnswer: 2\/221","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -14*p**2 + 4. Let n(y) = -195*y**2 + 55. Give 55*g(x) - 4*n(x).\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -7 + 2. Suppose -6*s = -2*o - 3*s + 58, 3*o - i*s = 85. Calculate the remainder when o is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6.842625 millennia?\nAnswer: 684.2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4*(-1*(2 + sqrt(242) + -1 + sqrt(12)\/sqrt(96) + -6*(-1 + sqrt(2) + sqrt(2))))**2.\nAnswer: -405\/2 + 42*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 46, 45, 44?\n\"Answer: -j + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + n - 53062 = 0, 2*n = -4*w + 58988 - 5928. Is w a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15852126?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 14. Let w = -11 + p. Which is the nearest to w? (a) -8 (b) 0.3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 767583977 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*w + 74 = 497 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + 17*m + 12. Is t(12) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17288303 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2827*k**3*r - 15*k**3 + 6*k**2*r + 309*k**2 + 2*k with respect to r.\nAnswer: -2827*k**3 + 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 8. Let v(l) = l**2 + 7. Let b(n) = -6*r(n) + 7*v(n). Suppose -152 = -38*q + 76*q. Calculate b(q).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55552131 (base 6) to base 4\nAnswer: -12121313113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 5*w = -186, -13*v + 7 = -22*v + 38*v + w - 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-12)*(-280)\/42?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 493 or 510?\nAnswer: 510","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*-3*(12 + -13). Let t be (-193473)\/(-36) - (1 + q\/(-8)). Let y = t - 3117. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 110117?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 687654 and 1397052.\nAnswer: 2718","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 261578 and 14632.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-2))\/((-180)\/40). Put 4, d, -6, 1\/4 in descending order.\nAnswer: 4, d, 1\/4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/6))**(-12\/7)\/(m**15*m**(-2\/11)\/m))**13 assuming m is positive.\nAnswer: m**(-14118\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 4 + 4, 2*t = o + 22. Is t a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in decades?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z - 3. Let l be n(-3). Suppose l + 35 = 5*v. Calculate the smallest common multiple of 6 and v.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + 8. Let m be (-26 - (-8 + 6))*1. Let o(p) = -p**2 - 23*p + 39. Calculate the remainder when z is divided by o(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125444 greater than or equal to 125445?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2646b7 (base 16) in base 2?\nAnswer: -1001100100011010110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**2 + k + 17. Let c be g(0). Let o be (-6*1)\/(-1) + c\/(-17). Solve -o*r - 5 = -5*j, -r - 3*j + 19 = j for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -86 bigger than -82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7\/(-56))\/((-10)\/(-8)) + 38\/(-20). Suppose 2*w + 4*c - 6 = c, 0 = 5*w + 2*c + 7. Put -4, 21, o, w in decreasing order.\nAnswer: 21, o, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-82 + 19 + 32)*(t**2 + 3*t**2 - 2*t**2) + (2*t - 2*t + 4*t)*(4*t - 3*t + t) to the form r + s*t + q*t**2 and give q.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -36569, -36568, -36567?\n\"Answer: u - 36570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1461493, -2922983, -4384473, -5845963, -7307453?\n\"Answer: -1461490*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -31*a**2. Let s(y) = -4*y - 2. Let c(h) = 55*h + 30. Let q(b) = 4*c(b) + 60*s(b). What is i(q(u))?\nAnswer: -12400*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3220 is divided by 451.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 121224?\nAnswer: -242448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6, -14, -26, -42, -62?\n\"Answer: -2*s**2 - 2*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000417565639 rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*y = 44*y + 48. Let l(r) = r**3 + 6*r**2 - 19*r - 7. What is the smallest common multiple of l(y) and -3 - (-2 + -1) - -7?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -11 - (1 + 1 - (-1 - -3)). Let g be 55\/u*(-4)\/5. Solve 3\/5*n**g + 7\/5*n**3 + 0 + n**2 + 1\/5*n = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 5*a + 96 = 0. Suppose -a*l - 540 = -2052. Is 25 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/46861 and -25\/11.\nAnswer: 515471","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y - 13 + y - y. What is the units digit of a(17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 95 = -3*y, c + 100 = 6*c - 2*y. Calculate the lowest common multiple of c and (-10 - -2*1)*-1.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxs. What is prob of sequence xsx?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2 + 2 - 9*x + 2 - 4 wrt x.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 69426 = -2*h, q - 5*h - 17359 = -6*h. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d. Let c be f(-3). Let u = 6 + c. Let i = u + -7. Solve 13 = -i*k + 3 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_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: Differentiate j*l**2 + 21461*j*l - 2*l**2 + 3064*l - 2 with respect to j.\nAnswer: l**2 + 21461*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -760 - -656. Does m = -102?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 divided by 525.\nAnswer: -23\/525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 2*l + 165 = 0. Let q(r) = -5*r - 2. Calculate the remainder when ((-2)\/(2\/l))\/((-9)\/(-6)) is divided by q(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 2:48 PM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-2) + (-14)\/(-28). Let y(u) be the third derivative of -1\/360*u**6 + 0 + 0*u**3 - 1\/180*u**5 + 0*u**4 + 0*u - u**r. Find o, given that y(o) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 33 = -2*q, 0 = 96*q - 92*q + 3*c + 95 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 11223 = -2*n, -8000 + 531 = -2*g + 3*n. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {t: 3, k: 4, p: 1, o: 4, h: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 1:38 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24536 = -404*s - 20900 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1635143610 to the power of 1\/2, to the nearest integer?\nAnswer: 40437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5}. Give prob of sequence qqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 2)*(-6*j + 4*j + 16*j)*(-j - 7*j + 2*j) in the form v + b*j + w*j**2 and give w.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15503 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + -22 + 14 + 43.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/6 + 1\/6. Which is the closest to x? (a) 2\/3 (b) 3 (c) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*z - z - 3*z)*(-4 + 5 - 3)*(-2 + 1 + 3) + (-2 + 1 + 0)*(5*z - 3*z + 3*z) to the form j*z + f and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -37*y**2 + 9*y - 11. Let q(r) = 2*r**2 + r. Let a(o) = q(o) - t(o). What is the hundreds digit of a(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102975289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 5. Sort 0.04, y, -1\/6 in ascending order.\nAnswer: -1\/6, 0.04, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(75\/(-48)))\/(((882\/(-140))\/(-63))\/2).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -40051 (base 9) in base 15?\nAnswer: -7bca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -204306691*u**3 + u**2 + 834*u + 56241?\nAnswer: -1225840146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*z = 2*i + 4, 3*z = -5*i - 10. Let t be (-2)\/2 - (i - 1). What is the second derivative of -2*v + 1 - 2 + 1 - t*v**2 wrt v?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 46 = -10. Let a = q - -29. Solve a = -2*i - 5 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 11*p**2. Let z(l) = 2683*l. Determine z(c(d)).\nAnswer: 29513*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 5. Let h = 0 - f. Solve 0*s = s + h for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**3 - 4*o**2 - 2*o - 4. Suppose 3*q - 4 + 13 = -3*f, -3*q - 2*f - 4 = 0. Let i = q + -5. Calculate the remainder when j(i) is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-2)\/4)\/(9\/(-90)))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*f**3 + 5*f + 0*f - 4*f + 8*f**3 to the form w*f + x*f**3 + o + u*f**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*c**3*i**2 + 663974*c**2*i**2 + 687*c + 16799*i**2 wrt c?\nAnswer: -66*c*i**2 + 1327948*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2375184 is divided by 5765?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -72*k - 1. Is n(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q + 1. Let y(r) = 68*r - 4. Let w(l) = -6*j(l) - y(l). Let n be w(3). Let t = -92 + n. Round t to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1681609315 to the power of 1\/4, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*r + 90*r = -774020. What is the hundreds digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 18*g - 40. Suppose -3*v - 16 = -4*j, -3*v = -2*j + v - 2. Suppose 3*l - 5 = 40. What is the remainder when o(j) is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.014597 decades in years?\nAnswer: 60.14597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -2, 200, -267 in descending order.\nAnswer: 200, 2, -2, -4, -267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -90, -0.4, 0.037, 0.7, 1\/3, -2\/17, 0.041?\nAnswer: -90","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8888902 and 47910?\nAnswer: 3194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.825 + -0.525. Let w = -0.1 + 0.1. Put w, -2\/9, r in decreasing order.\nAnswer: r, w, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -2*c**7\/21 - 88*c**6\/15 - 121*c**5\/5 + 94*c**4\/3 + 1000*c**3\/3 + 656*c**2 + 4383*c. What is r in f(r) = 0?\nAnswer: -41, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7622 and 1670.\nAnswer: 6364370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 83\/(-135) + 6\/10. Is 0 at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000044538 rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 4:32 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 868713898235 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2526 - -4724. Is t a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 5 (c) 2\/5 (d) 1.46 (e) -1\/13 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 8*j**2 - 7*j - 2. Let v be y(-7). What is the units digit of 57\/5 - v\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*h + 119 = -30*h. Solve v + h = -3*c - 0*c, -2*c + 2 = 2*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10972*t + 10976*t - 32923*t + 10975*t - 402*t**2.\nAnswer: -402*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, x: 5}. Give prob of picking 1 v and 2 x.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65e (base 16) to base 13.\nAnswer: 985","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 5*r + 2. Let m be j(3). Let b = -45 - -493\/11. What is the smallest value in b, m, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76216*a = -74138*a - 105978 for a.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = m - 15. Determine k, given that 15*k**2 + 9*k**3 + 8*k - m*k**4 - 6*k - 3*k**5 + 4*k = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 y when two letters picked without replacement from {u: 3, y: 6, k: 1, q: 4}.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1027841367?\nAnswer: 3, 7, 48944827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -3555 and -3557 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 4*u**4 - 864*u**3 + 51212*u**2 - 497040*u = 0.\nAnswer: 0, 12, 95, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43748 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.69 + -19.44. What is h rounded to 1 decimal place?\nAnswer: -13.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1338*o - 462 + 233 + 229.\nAnswer: -1338*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 1 + 7 + -2 + -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -3*m**2. Let j(q) be the first derivative of 399*q - 399*q - 2 + q**3. Give n(j(p)).\nAnswer: -27*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 91 and 1365?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 436 = -2*o + 5*x, o = 2*x + 200. Is o a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 770, 1264, 1746, 2210, 2650?\nAnswer: 3060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -4*o - 5. Let c(t) be the third derivative of -1\/6*t**3 + 0 - t**2 + 0*t. Let f(n) = -c(n) + h(n). What is the first derivative of f(b) wrt b?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zvwzzwzxzzzsvwsvxzx. What is prob of picking 2 v, 1 x, and 1 w?\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/102317880 and -35\/3758616?\nAnswer: 920860920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3044*l + 3039*l + d = -23, -l = d - 7 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -502*g**3 - 507*g**3 + 1517*g**3 + 30*g - 507*g**3.\nAnswer: g**3 + 30*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -322331 + 2000?\nAnswer: -320331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - c - 12. Let m be y(-3). Solve m*o + 8 = -2*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 5*c**2 + 60*c + 14. Give k(-12).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 698502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -48344 - 4.97\nAnswer: -48348.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/6)\/((-3)\/9). Let h be (0 + -2)*2\/i. Is h greater than -2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**2\/8 + 297*h\/8 - 303\/4 = 0. Calculate h.\nAnswer: -101, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -7*a + 6. Let q(h) = -6*h + 5. What is -4*q(l) + 3*v(l)?\nAnswer: 3*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -205544 times 0.5?\nAnswer: -102772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -85465, -170939, -256417, -341899?\n\"Answer: -2*n**2 - 85468*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1899, -540, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-10)\/h**7*(h\/h**1)\/(h\/h**(-1)) assuming h is positive.\nAnswer: h**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -4\/5 (c) 0.2062 (d) -5 (e) 2\/5 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95949 + 95949 + 3*m - 4*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -2. Suppose 0 = -k - 4 - f. Let d = 401 - 399. Sort -5\/3, k, d.\nAnswer: k, -5\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8039.85 meters to micrometers.\nAnswer: 8039850000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -318 or -14814?\nAnswer: -14814","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 3*m + m - 25, -s + 2*m = -5. Suppose 9 = v + 2*b, 5*v = 4*b - s*b. Which is smaller: -1\/109 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 17 = 5*q, 4 = 3*q - 4*g - 1. Let h be 2 - 4*(-2)\/(-4). Suppose h = -q*r + 5*r - 6. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mdm when three letters picked without replacement from dhdddhhddmdhm.\nAnswer: 7\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2701.9782 months?\nAnswer: 2.2516485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 10*t**3 - t**2 - t - 11. What are the prime factors of i(3)?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3737 or 680?\nAnswer: 680","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -105 bigger than 631?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/24 - (-90)\/48. Suppose -5*a + x*a - 12 = 0. Let u(c) = c**3 - c**2 - 4*c - 5. Let l be u(a). Round l to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -3, -8, -26, 4, 1, -7 in ascending order.\nAnswer: -26, -8, -7, -3, 1, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 529 is divided by 241?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gubdvbbdbudgvdbgbj. Give prob of picking 1 b and 1 g.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 544701?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1701)\/(-414))\/(-27)*24\/42?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**3 - w**3 - 2*w**3 + (-7*w**2 + 28*w**2 - 7*w**2)*(-2*w + 4*w - 3*w - 4).\nAnswer: -16*w**3 - 56*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/56 - (-396)\/(-504))\/((-2)\/(-38))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29564\/21 - 1407. Let p = -2\/3 + u. Sort 10, -2, p.\nAnswer: -2, p, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*w**4*z**2 + 5604*w**3 - 3*w**2*z**2 - 2742*w**2 - 4*w*z + 25*w wrt w.\nAnswer: 312*w*z**2 + 33624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c - 87*c + 40*c + 45*c. Let a(k) be the second derivative of k**4\/12 - k. Give a(s(z)).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/40 of a millimeter?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 7*x + 5*t - 41, 2*t = 3*x + 22. Put -2, 4, x in decreasing order.\nAnswer: 4, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 1)\/(1\/(-4)). Suppose d - 2 = -4*t + r, d = 2*t. Suppose d*h - v = 6*h - 17, 3*h - v = 11. Is h a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2708)\/(-1354))\/(((-124)\/(-93))\/((-28)\/6)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48300 divided by 20.\nAnswer: -2415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 9*u - 7. Is p(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f. Let d be w(0). Suppose -v = -j - 72, d*v - 2*j + 144 = 2*v. Let s = v - 41. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of -23*d**7\/210 + 3*d**5\/5 - 17*d**2. Find the third derivative of m(z) wrt z.\nAnswer: -552*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 244658.98011 - -5840.82043. Let x = 250497 - s. Let a = x - -2.8. Round a to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -485185*p**3 - 3*p + 4. Let o = 4 - -3. Let a = -4 + o. Let b be c(a). Round b to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c - 3. What is the units digit of v(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*b**3 + 23*b - 22*b**3 + 20*b + 8305*b**2 - 8303*b**2 - 21*b**6 wrt b?\nAnswer: -2520*b**3 - 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 2*j = -1714 + 1684, 4*j = -4*x + 60 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 139838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 407943*a - 669648*a + 1551253*a + 1937874*a.\nAnswer: 3227422*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3636625871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(-3)*(-33)\/(-11)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38734 is divided by 35?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -262, -897, -2114, -4099?\nAnswer: -7038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/8*(-180)\/(-15)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/7, -1.83, -679, 11, 1, -2?\nAnswer: -1.83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.032*0.437.\nAnswer: 0.013984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 744*h**2 + 740*h**2 - 1486*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + (-20)\/(-6))\/((-15)\/9)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.51 * -25.9.\nAnswer: 65.009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 - 2248*k - 631688.\nAnswer: -2*(k + 562)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4*x - 3 + 0 + 0*x + 3*x. What is the units digit of i(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/19033 and 59\/4024120.\nAnswer: 28168840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-2)*1266\/12 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2 - 7*o + 3. Let n be w(5). Let t = n + -15. Suppose t*m = -m + 96. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - q + 3. Let f be s(2). Let r(v) = 3*v**2 + 3*v + 4. Let p(j) = 4*j**2 - 2*j. What is the remainder when r(f) is divided by p(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**2 - 108*q + 111. What is h(53)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -63 - 12. Suppose 13*j = 9*j - 44. Let w be (j\/2 + 4)*-20. Calculate the highest common factor of a and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1393744 and 48844392.\nAnswer: 1074576624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*c - 3 + 4 - 14*c)*(93 - 10*c**2 - 93).\nAnswer: -10*c**3 - 10*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3817*h = -1481*h - 370860 for h.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.02 (b) -3 (c) -5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*z**4 - 2427*z + 6*z**4 - 10*z**3 - 1517*z - 1636*z - 72*z**3 wrt z.\nAnswer: 168*z**2 - 492*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5169650?\nAnswer: 2, 5, 103393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-54*34\/(-136))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 11 = 6. Suppose -k*y - 27 - 13 = 0. Let b = -1 + y. Let l(q) = q**2 + 8*q - 9. Determine l(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 6*d - 2*d + 12, -16 = 2*n + 2*d for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*a**4 + 111*a**2 + 114*a - 1257292.\nAnswer: 12*a**3 + 222*a + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -31*t**4 + 5*t**5 + 31*t**4 + (2*t**3 + 5*t - 5*t)*(-29*t**2 - 8*t + 26*t**2 - 1 + 0).\nAnswer: -t**5 - 16*t**4 - 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 958584*k + 330694 wrt k.\nAnswer: 958584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 29*y**2 + 28*y - 67. Is 11 a factor of f(33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 74860\/100 - (1 + 8). Let q = -739 + l. Let -9\/5*k**4 + 12\/5*k**5 - 39\/5*k**3 + q*k**2 + 27\/5*k + 6\/5 = 0. What is k?\nAnswer: -1, -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2136*n + 400*n**3 - 404*n**3 - 4322*n + 2186*n.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1017693101?\nAnswer: 5261, 193441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18)\/(-8) + 1\/(-4). Let w be -4 - (5 + 0 + (-136)\/16). What is the second smallest value in a, 4, -6\/11, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffslxnxsxzfzsxsxlfls. Give prob of picking 1 s, 2 l, and 1 z.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 24 = 3*f - 3*n, -28 = -5*f + n. Solve 3*v = -f - 9 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v - 8*m + 12*m - 12, 3*v - 3*m = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 10*f**2 + 5*f + 5. Let j be z(-7). Let g = j + -96. Is g a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, b: 6}. What is prob of picking 1 b and 2 t?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1020?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 226028?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -830*k**4 - 836*k**4 + 12*k - 2*k**3 - 839*k**4 + 2509*k**4 to f*k**2 + g + d*k**4 + b*k + j*k**3 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5265 + 5277. Suppose 2*u + u + 2*y = 73, 5*u - 115 = -5*y. Calculate the smallest common multiple of v and u.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 6*s - 2*o - 96, -5*s = 5*o - 105. Suppose -930000 = 26*r - s*r. What is r rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -25*l**3 - 25*l**2 + 25*l - 25. Let c(h) = h**2 - h + 1. Determine -25*c(p) - k(p).\nAnswer: 25*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 94458877 to the power of 1\/3, to the nearest integer?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1815 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 7*c**3 + c**2 - c - 1. Let y be o(-1). Let q be ((-800)\/(-30))\/((-2)\/y). Suppose -q = v - 6*v. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3268\/(-204) + 16)\/(2\/12)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**5 - p**3 + 2*p - 1. Let s(m) = 196*m**5 - 6*m**3 - 93*m**2 + 13*m - 6. Let j(i) = 6*b(i) - s(i). Find the third derivative of j(w) wrt w.\nAnswer: -12120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6120692 to the nearest integer?\nAnswer: 2474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 23 = -u, 0 = -2*u + 7*u + 3*d + 5 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 26985 to the power of 1\/2, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(2057) + 1 + -2)**2.\nAnswer: 22*sqrt(17) + 2058","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 - -33.021. Let x = h - -1.979. Which is smaller: x or 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8\/69 (b) 0.0543 (c) -2\/27 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2660896285.\nAnswer: 5, 683, 733, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 e when three letters picked without replacement from {w: 2, i: 1, e: 2, d: 4, c: 2, h: 3}.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3090*z + 3375*z + 5794*z - 1778*z - 1435*z.\nAnswer: 9046*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 - (-124)\/24 - (-2)\/(-3). Factor 1\/3*t**4 - s*t**2 + 1\/6 - 1\/6*t + 1\/6*t**3.\nAnswer: (t - 1)*(t + 1)**2*(2*t - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = 2*b + 2*b - 16, 3*j - 15 = 3*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4925 - -59153\/12. Find the common denominator of 55\/52 and h.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13623.\nAnswer: 3, 19, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-64 - -81 - (3 + 2) - 6) + -13?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 69\/9 - 2\/(-6). Let v(l) = 2*l**2 - 2*l + 11. Let x be v(-11). Suppose 35 - x = -z*f. List the prime factors of f.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 14, 7, 1\/4, 34, 5, 19 in decreasing order.\nAnswer: 34, 19, 14, 7, 5, 1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, 0, 14, 5, 2.\nAnswer: 0, 2, 5, 14, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -15 (c) -2\/9 (d) 34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -3*z + 21, -3*x + 0*z - 27 - 21 = -13*z for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**11)\/(r\/(r*r**(-1\/8))))\/(((r*r**(-2))\/r)\/r)**(-2\/3) assuming r is positive.\nAnswer: r**(87\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 10 = a. Suppose -9 = j + a*n, -2*n = -4*j - 3 + 11. Let f = 226\/295 + 2\/59. Are f and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230153 equal to 230505?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -3*p + 2. Let z be n(9). Let h = 28 + z. Solve 5*l = -h*a + 1, 4*l + 16 = 5*a + 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 92265668*q**2*s*t**2 + 2*q*s*t**2 - 157806*q*t + 49*s*t**2 wrt q?\nAnswer: 184531336*s*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 p, and 1 d when three letters picked without replacement from pdpbbbb?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3 - 150*c**2 + 2016*c - 7552.\nAnswer: 2*(c - 59)*(c - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**3 + 168*m**2 + 2037*m + 1872 = 0. Calculate m.\nAnswer: -39, -16, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.015 (b) 22 (c) -3\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -315 or -305?\nAnswer: -315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 12 + 14)*(-v**3 + 0*v**3 - 3*v**2 + v**2).\nAnswer: -20*v**3 - 40*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8445*c = 8327*c - 16989*c - 2821 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 1058988.\nAnswer: -423595.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1d (base 15) to base 2\nAnswer: 11100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 174 and 589483.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -527, -1057, -1591, -2129?\n\"Answer: -2*x**2 - 524*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of 0*t - t**2 + 1\/840*t**8 + 0*t**5 + 0 + 0*t**4 + 1\/300*t**6 + 0*t**3 - 2\/525*t**7. What is u in b(u) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 0. Let c = -1.4 + j. Let m = 0.40096 + c. What is m rounded to 4 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4*o**2 - o. Let c(f) = 21630*f**2 - 5150*f. Determine 2*c(y) - 10300*v(y).\nAnswer: 2060*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/1036263 and 65\/9507.\nAnswer: 1036263","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-297)\/(-44))\/(54\/(-72))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, s: 3}. Give prob of picking 1 p and 2 s.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-140)*49*(-6)\/(-14)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 d, and 1 s when three letters picked without replacement from {o: 3, p: 4, d: 2, s: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05 + 17170699.\nAnswer: 17170698.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/140, 65, 0.1, 1, 3\/5, -3.\nAnswer: -3, 1\/140, 0.1, 3\/5, 1, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5739.756 millennia in decades?\nAnswer: 573975.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3032 = -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1202414 (base 7) to base 6.\nAnswer: 3132232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*x**5 - 1579*x**4 + 2*x**3 - 171906*x**2.\nAnswer: 300*x**2 - 37896*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*v**3\/13 + 1650*v**2\/13 - 1800*v - 27000\/13.\nAnswer: -2*(v - 30)**2*(14*v + 15)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 212298731 and -41.\nAnswer: 212298690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -1, -2\/19, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7500483, 7500484, 7500485, 7500486, 7500487, 7500488?\nAnswer: 7500489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 7. What are the prime factors of 6\/4*(-28)\/f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -765032734.380006 + 765034949. Let s = -2214.6 + j. Let h = s + -0.02. What is h rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4*c + 9 = 0. Let g be 4\/2 + -1 + -1. Suppose -1\/5*j**4 + g*j**c + 0 + 0*j**2 + 0*j = 0. What is j?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.7 and 53495.\nAnswer: -90941.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - 39\/(-4))\/(((-49)\/56)\/(-7))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 532863 to the nearest integer?\nAnswer: 730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g + 3. Let j be b(-4). Let x(n) = -4*n - 79. Let a be x(-20). Sort 2, a, j in increasing order.\nAnswer: j, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 12) to base 6\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from esekwpe. Give prob of picking 1 w and 1 k.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 241864882.\nAnswer: 2, 7, 17, 145177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -d1 (base 15) to base 14\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -4\/13969345, 1 in descending order.\nAnswer: 1, -4\/13969345, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 108, 4, 1, 1\/4, 5.\nAnswer: 1\/4, 1, 4, 5, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3*-388.253\nAnswer: 1164.759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 32*h**3 + 6*h**2 - 3*h + 5. Let j(t) = t**3 - 2*t**2 - 1. What is -3*j(q) - v(q)?\nAnswer: -35*q**3 + 3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 10. Suppose m*o = 3*o. Suppose 7 = g - o*g. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(-2 + 12\/3). Suppose w*l + 2*l - b = 1359, -2*b + 3375 = 5*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3\/5 (b) 2 (c) -0.11 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1000 (base 2) to base 13\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + j)*(1 + 3 - 1)*(-2*j + 1 - 1).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 18 (base 9) to base 3\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + i + 4)*(-2*i**2 + 3*i**2 + i**2) - i + i + 3*i**3.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-10) + 24\/(-5). Suppose 0 = 41*l - 27*l. Let x = l - j. Solve 5*k + x = 25 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -5, 0.05, -1, -95?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 17 = 4*m + m, 4 = -r. Let v(g) = g**3 + g. Let h(t) = 4*t**3 - 4*t. Let z(y) = m*h(y) - 2*v(y). Find the second derivative of z(u) wrt u.\nAnswer: 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -60, -3, 2, -2, 1, 681 in decreasing order.\nAnswer: 681, 7, 2, 1, -2, -3, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/2784 and -43\/96.\nAnswer: 2784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -524 + 521. Which is the nearest to 2\/15? (a) 4 (b) m (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 2:06 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*x + 4 = -18*x. Let a be x + (-1)\/((-2)\/(-6)). Let l(i) = 3*i**2 + 3*i + 2. What is the lowest common multiple of 8 and l(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -47*u + 76. What is the remainder when (9\/(-12))\/(2\/(-1776)) is divided by p(1)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7823752 (base 11) to base 3\nAnswer: -221211020010022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26.906 - 27. Let g = -0.006 + r. Let p = -0.2 + 0.7. What is the closest to g in 0.4, -5, p?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6529081 and -189.\nAnswer: -6529270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*o - 3 + 3)*(-2 + 2 - 3)*(-1 + 4 - 5)*(-2 + 0 + 1) to m*o + i and give m.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4642*c + 2336*c = 140666 for c.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -92 + 90. Which is the biggest value? (a) w (b) 0.4 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 t, and 1 p when three letters picked without replacement from bvbyvtttvbvpbvb?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 9*i**2 - 2*i + 6. Let q be v(9). Let l = 12 + q. Suppose -5*p + 72 = -3*n, 8 = -2*n - l*n. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**2 - 199386400*f - 4969367063120000 = 0. What is f?\nAnswer: -49846600","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1391 is divided by 824.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 3*t = -7*c + 31, -4*t = -5*c + 40. Suppose -q = -c*q + 21. Let l(p) = -p**3 + 7*p**2 + 5*p - 1. Is l(q) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.1, -24\/19, -1\/6, 5?\nAnswer: -24\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96 and 252.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(4\/9)*p*(p\/(p*p**8))\/p*p)**24\/((p**0)**22\/(p**(-1\/2))**(-2)) assuming p is positive.\nAnswer: p**(-397\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -10101100101010010111?\nAnswer: -10101100101010011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Is 242058813 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -156*r**3 + 2*r**2 - 3*r - 3. Is p(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8*(92\/(-16) - -3 - -3). Suppose -c*b - 170 = -3*b. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1363, 5431, 12201, 21667, 33823, 48663?\n\"Answer: -q**3 + 1357*q**2 + 4*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + o**2 + 10599985. Let g be y(0). Suppose 4*u - 21200006 = -2*k, g = u + u - 5*k. What is u rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v - 39. Let q = -321 - -303. Let r be l(q). Which is the second biggest value? (a) 2\/3 (b) r (c) -149\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 5828577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -23*j + 4. Let u be m(3). Let o = u - -276. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2 = 23. Suppose -c + 40 = -a*c. Let x(m) be the first derivative of -m**4\/4 - 3*m**3 + 5*m**2 - 3*m - 1334. Calculate x(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -573, -535, -429, -225, 107?\nAnswer: 597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b + 2*b + 0*b)*(6*b + 2*b - 7*b) - b**2 + 0*b + 0*b.\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 163? (a) -0.3 (b) -0.108 (c) -1\/6 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c0 + 8?\nAnswer: c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 660*u**2 - 121*u. Let r(o) = -11*o**2 + 2*o. Give 6*l(y) + 363*r(y).\nAnswer: -33*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) 11 (c) -8 (d) -1 (e) 442\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18839*c**2*p + c**2 - 2*c*p + 21*c + 56986*p - 2 wrt c?\nAnswer: -37678*c*p + 2*c - 2*p + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 214\/8 + (-1)\/(-4). Suppose 4*m = 8*m + 5*h - 1, -3*h + k = -2*m. Let a(j) = j**2 + 4*j - 5. Let d be a(m). Solve -r = 3 - d for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 365 = -t + 6*t. Suppose 0 = -5*f - 4*p + 722, -105*p = -f - 103*p + 150. What is the greatest common factor of f and t?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 + -27.8. Let q = 1.2 - z. What is the closest to -1\/4 in 1, 3, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4\/7 - 350018*h**3\/7 + 2921370192*h**2 - 400645664809344*h\/7 + 104741532462965760\/7.\nAnswer: 2*(h - 58248)**3*(h - 265)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - 4 - (-1)\/3. Suppose -2*u - 4 = -4*u. Which is the closest to 1? (a) q (b) 3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + t - 2 + t)*(17 - 26 - 51).\nAnswer: -60*t + 120","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 20 = -5*p, -2*t - 3*p = -2*p + 4. Sort 1, -5, t in increasing order.\nAnswer: -5, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2*g + 1)*(-3*g + 3*g - g**2) - 4862*g - 16154*g**3 + 4862*g to the form c*g + s + a*g**2 + t*g**3 and give t.\nAnswer: -16152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 3:18 AM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - t**2 + 42. Let k be s(0). Suppose -3*a - k = -5*a. Does 7 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3046 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - (2 + -1))\/(-2). Suppose f = -y - 4*y. Solve -3*m - 2*m = y for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*g**3 + 6*g**3 - 5*g**3 + (-38*g**2 - 88*g**2 - 3*g**2)*(-3*g + 5*g - 1 - 3*g) to the form m + c*g + u*g**3 + b*g**2 and give b.\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -3123102?\nAnswer: 3123103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = d + 33. Let s be d\/(-27) - 1 - 440\/(-36). Solve 0*f = 3*f - s, 2*c + f = 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -14, -114, -298, -578, -966, -1474?\n\"Answer: -2*g**3 - 30*g**2 + 4*g + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0494 and -114.1?\nAnswer: 114.1494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 3*k - o, 3*o = 2*k + 9 - 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 881, 880, 871, 848, 805, 736, 635, 496?\nAnswer: 313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 2*j - 2*d, 20*j + 14 = 22*j - 3*d for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2. Let f(w) = w + 128. Give f(n(q)).\nAnswer: q**2 + 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 7328*y**2 - 11*y + 11. Let q(k) = 1467*k**2 - 2*k + 2. Determine 11*q(l) - 2*u(l).\nAnswer: 1481*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 140, 133, 126, 119, 112?\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 2 + 0)*(-5*l + 3*l + 4*l) - 5*l + 3*l + 0*l + 0 - 2*l + 0 - 3*l + 2*l + 3*l + (0*l - 2*l + l)*(0 - 2 + 3))*(-15 - 56 - 10).\nAnswer: -405*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + 8)*28\/(-10). Let l = 48 + i. What is the highest common factor of 17 and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1316*a + 752 - 752)*(-2*a**2 + 0*a**2 + 4*a**2)*(a + 3 - 3) to u*a**3 + c*a + l + b*a**4 + h*a**2 and give b.\nAnswer: -2632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from pdddpdpddddpdd.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105 - 79 - (4 - 0) - 4.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/155 and 42\/55.\nAnswer: 1705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1834818784 to the nearest integer?\nAnswer: 42835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**3 - 10*p**3 - 2*p**3 - 91*p + 2*p**3 + 10*p**3 + 17*p**2.\nAnswer: -p**3 + 17*p**2 - 91*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 229243.514299 + -229013.076. Let n = r + -228.7584. Let u = n + -1.68. Round u to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 130.4 + -130. What is the closest to 2 in 4, 3, 7\/4, a?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1200649, -2401308, -3601977, -4802656?\n\"Answer: -5*a**2 - 1200644*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -198 + 221. Calculate the remainder when 71 is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of 0*c**3 + 0 + 1\/600*c**5 + c**2 + 1\/240*c**4 + 0*c. Find t, given that u(t) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millennium in decades?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198 = 11*t + 165. Solve 0 = 2*m - t*a + 3, 0 = m - 4*a - 0*a - 6 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 128 and 4048508.\nAnswer: 4048636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 27225 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 735 and 315?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - 61. Let x(a) = 3*a**2 + 4*a + 184. Let m(v) = 4*x(v) + 11*z(v). What is m(-11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (-22 - -36)) + (-5 - 0) - -80?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 13 = 3*x - 4*o, -14 = -x - 2*o. Suppose -x*r + 39 = -r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 4*x**2 - 14*x - 5. Give w(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -615248.79 rounded to the nearest 100?\nAnswer: -615200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -7*i**4\/24 - 10*i**2. Let u(z) = 4*z. Let b(f) = f. Let l(k) = -5*b(k) + u(k). Determine l(m(a)).\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 18\/27*-12*(-380)\/(-40) + -1 + -15\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17926, -17943, -17960?\nAnswer: -17977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 35 = -5*h, -3*t - 4*h + 7 = -42. What is the second derivative of -1156*m**2 + 11*m**5 + 1156*m**2 - t*m wrt m?\nAnswer: 220*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/45*-3*42\/2. Let z be o\/35 - ((-224)\/60 - -3). Let d = 0.14 + -0.06. Is z equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -2*u + q + 74, 4*u + 19*q + 188 = -18*q + 29*q for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, -1, 28, -0.07, -2\/3.\nAnswer: -1, -2\/3, -0.6, -0.07, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*q*v**3 - q*v**2 - 2*q*v + 2*q - 217*v**3 - 13*v + 7 wrt v.\nAnswer: -72*q*v - 2*q - 1302*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -7*3*(-4)\/84\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 - 4)*(-1400)\/150. Calculate the greatest common factor of d and 1068.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3217 = -199*l + 10580 for l.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38.4281 - -13.54538. Let k = t - 52. Round k to 3 decimal places.\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -84*n + 7. Is y(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -536 - -1024. List the prime factors of l.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*s = -44485 + 44290 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7961 + -3?\nAnswer: 795e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 19, -1\/171, 3\/2, -2, 89?\nAnswer: 89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 15098*s - 226431. Calculate a(15).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 8:27 PM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -27187866 times -0.3\nAnswer: 8156359.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -4 - 0. Suppose 3*d + 5*o = -31, -o = k*d - 2*o + 3. Let q be 1 - (1 - d - 4). Solve -q*i + 8 = -4*t, 2*i = -0*i - 2*t - 16 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1720 take away 0.5434123?\nAnswer: 1719.4565877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3*v + 6 + 38 = 0, 5*o - 2*v = 46. Solve -o*d - 3 = -7*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 2*h - 32, 3*h + 2*h = 2*o + 23. Let k be 12\/(-6) + o\/(-10). Which is smaller: k or 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 508329.72 milliseconds to hours.\nAnswer: 0.1412027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r - 4*r + 13*r as j + m*r and give m.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51036.7348 - 3917.7158. Let k = z + -47094. Let d = -25.2 + k. What is d rounded to 2 dps?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 12. Suppose t = -5*c - 6 - 0, 0 = t + c - 10. Solve t = 5*v - h for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 13*k + 9. Suppose m - 24 = 3*m - 16. Give c(m).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135228241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 101128 * -0.599\nAnswer: -60575.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -275484\/9485 <= -29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 71b4 (base 16) to base 12\nAnswer: 14a18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 2*g**3\/11 - 70*g**2\/11 - 146*g\/11 - 74\/11 = 0?\nAnswer: -1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 61.6 - 51.6. Put 0.19, 0.3, b, 2 in increasing order.\nAnswer: 0.19, 0.3, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 588, 1178, 1770, 2364?\n\"Answer: y**2 + 587*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 736 - 736 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(3 + (-30)\/9). Let z be 195\/10*(-2)\/3. Let n(y) = -y**3 - 14*y**2 - 16*y - 6. Let j be n(z). What is the greatest common divisor of s and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 82280\nAnswer: 82283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -43 - 34141041?\nAnswer: -34141134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10\/7 - -67\/42. Suppose 15*u + 9*u = 19*u. Let w(j) = -4*j**2 - 1. Let m be w(u). Which is the nearest to m? (a) k (b) 0.1 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2836 a factor of 2971492736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 plus -12295?\nAnswer: -12294.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -1002033?\nAnswer: 1002022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -3734 > -100814\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (28\/10)\/(2\/(-10)). Let x = -8 - l. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -113, -103, -91, -77, -61?\n\"Answer: q**2 + 7*q - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -102 + 98. Sort r, 3, 0, -2.\nAnswer: r, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*d - w, 0 = 2*d + 2*w - 3*w - 7. Suppose -2*l = 4*y + 62 - 1024, -l = -d*y + 1213. Let o = y - -257. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 223860 by -1820.\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2709 = 22*b - 2461. Let n = 324 - b. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 542830.\nAnswer: -1\/271415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eebe when four letters picked without replacement from bbeeebee.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (1 + sqrt(180) + sqrt(180))*4 + sqrt(180) - ((-1 + sqrt(180))*1 + -1 + sqrt(180)*1))**2.\nAnswer: 588*sqrt(5) + 8869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 176 and 44?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in seven eighths of a millisecond?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from 94697021.\nAnswer: 94697020.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18211 is divided by 3030.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - 4*g + 3. Let l be i(4). Which is the nearest to 1? (a) -0.1 (b) l (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28562761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9435?\nAnswer: 3, 5, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 4*k + 627 = 628, 4*y + k + 13 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 15.6. Put s, -1\/3, 5 in descending order.\nAnswer: 5, -1\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 - 16. Suppose -5*j - 155 = -s*h, -3*j - 2 - 73 = -h. Let x(y) = y**3 + y. Let o be x(2). Calculate the greatest common factor of o and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - 26 - 7 - -10?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, 240, -0.5, 2, -5, -4?\nAnswer: 240","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 12:10 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 11:02 AM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2\/4 + 2985*z\/4 + 22725\/2.\nAnswer: -3*(z - 1010)*(z + 15)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 727558043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 4 = -t + 5*w, -4 = -4*w. Let g be -2 - t\/(-2 + -1). Put 5, g, -1 in decreasing order.\nAnswer: 5, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -3*k. Suppose -4 = 3*o - 2*b, 20 = 4*b - 0*b. Calculate z(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254189494 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-290)\/(-24))\/(22040\/105792).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 3*x - 4 + 13*x**2 + x - 2*x**2 - 2*x**2 + 0*x**2 + (-2*x + 29 - 29)*(-x - 3*x + 3*x).\nAnswer: 11*x**2 - 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of i**4\/4 + 446*i**2 + 164*i - 934. What is the first derivative of n(p) wrt p?\nAnswer: 3*p**2 + 892","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 44 or 17226\/403?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 9 = -5*i - 23, -i + 5 = 3*v. Let x = v - -4. Solve 2*j + 14 - 43 = 5*o, -o = -j + x for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(3\/7)\/(m\/((m**10*m)\/m)*m)*m**10\/m**11 assuming m is positive.\nAnswer: m**(52\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -47160?\nAnswer: 47165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -94 + 95 - (-1 + -2). Sort x, -5, -13 in descending order.\nAnswer: x, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1561775153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7813, 15670, 23539, 31426, 39337?\nAnswer: 47278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8635235 divided by 10727?\nAnswer: -805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13696 by 4.\nAnswer: 3424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 2*s + 51. Suppose -s = 5*c + 43. Let r = c - 7. What is r rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1, 0.04, -0.1, 0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 73*t - 338. Suppose 34 + 16 = 10*u. Let a be o(u). Solve 4*k - 7 = -a for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 4, -353, -6 in decreasing order.\nAnswer: 4, -6, -19, -353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 o, and 2 g when four letters picked without replacement from orgooggogegggooeo.\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 14700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -61 - -62. Which is the nearest to i? (a) -0.3 (b) 3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-76*n - 1324 + 1324)*(n + 1 + 1 + 0) + 2*n - n**2 - 2*n.\nAnswer: -77*n**2 - 152*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 148, 159, 172, 187, 204, 223?\nAnswer: 244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 7*m - 1 = 9 + 13, -5*m + 3*m - 8 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1156 + 102885\/89. Let v = -2141\/445 + k. Find the common denominator of (-432)\/(-40) + (-2)\/(-20) and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12585425 and 55375870.\nAnswer: 276879350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 9 + 36*p - 37*p + p**2)*(23*p**3 - 23*p**3 + 70*p**3).\nAnswer: 70*p**5 - 70*p**4 + 350*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4*v**3 + 8*v**2 - 4. Let b(l) be the third derivative of -l**6\/120 - l**5\/60 + l**3\/6 + 3*l**2. Determine 6*b(g) + i(g).\nAnswer: -2*g**3 + 2*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -484a228?\nAnswer: -484a223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 43213 (base 5) in base 9?\nAnswer: 4018","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/5)\/((-1)\/(-5)). Suppose -253 + 239 = -7*m. Suppose m*s = 0, -2*i - s + 16 = 2*s. What is the highest common divisor of i and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21.0017 or -2212?\nAnswer: 21.0017","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - sqrt(49)\/(sqrt(49)\/sqrt(7))) + 5)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -168772 (base 13) to base 5\nAnswer: -120432021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -5*z**2 + 3*z. Calculate v(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 11 - (-65 + 49 + 10 + 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - 8*p - 10. Determine m(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1294 and 135046369?\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 6*g**3 + 13*g**2 + 13*g. Let h(j) = -22*j - 334*j**3 + 7*j**2 + 337*j**3 + 29*j. Determine 11*h(v) - 6*n(v).\nAnswer: -3*v**3 - v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 12:31 PM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10418*q**2 + 26*q - 7929*q**2 + 18348*q**2.\nAnswer: q**2 + 26*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/216 and -167\/360?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 465 = -0*j + 5*o, -3*j = -4*o + 341. Are -0.1 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**2 - 15*i + 5. Let t be q(-18). Let x = 357 + t. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.591, -3\/16.\nAnswer: -5, -3\/16, 0.591","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/12302063 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - a. Let o(w) = 2749*w**3 - 1764*w**2 + 373*w - 27. Let m(c) = -5*n(c) + o(c). Solve m(l) = 0 for l.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of 2*p**5\/15 - 7*p**4\/3 + 8*p**3 - 34*p**2\/3 + 22*p\/3 - 30. Find a, given that r(a) = 0.\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -13*j + 96. What is the greatest common divisor of j and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.11 and -141.3.\nAnswer: 15.543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 + -99\/4. Let p(g) be the first derivative of 1\/5*g**5 + 0*g**3 + 0*g**2 - u*g**4 + 0*g + 2. Solve p(n) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-51)\/(-170)*(1 - 0) + -8 and (4\/8)\/((-16)\/(-212)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691684822 to the power of 1\/2, to the nearest integer?\nAnswer: 26300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s + 1. Let l be -3 + (-15)\/(-3) + 1. Let c(w) = 1 + 0*w**l - 2*w - 4*w + 5 + 2*w**3. Determine c(u) - 6*m(u).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1536, 3043, 4550?\n\"Answer: 1507*a + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 6 + 3 + 2*k)*(69*k - 89 + 89).\nAnswer: 138*k**2 - 276*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - y - 3. Let u = 4450 + -4446. Let q be (2 + (-2 - 0))*1. Let c be q + u + 1 + -5. Determine j(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232 < 10834\/47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -1\/4*o - 1\/4*o**2 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9.4 - -7.3. Sort -2\/7, u, -2\/11 in descending order.\nAnswer: -2\/11, -2\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 1. Let g(h) = h - 1. Let y(x) = g(x) - 5*s(x). Let i be y(10). Let c(d) = d**2 - 3*d + 1. Calculate c(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -39*q**2 - 6040*q - 187270. Determine d(-112).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = 5*i - 3*t, 4*t + 51 = 3*i + t. Let a be (-24)\/(-7)*70\/i. Suppose 2*v = 2*l - 0*l - 2, 0 = -3*l - a. What is the second biggest value in 2, 8, v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 584\/((-4)\/(-4)) + -1. Let l = -1.135 - 2.865. What is the third smallest value in l, 0.4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 661 + -666 + 1 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.25115 decades in months?\nAnswer: 10950.138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3480260?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 33231112301 (base 4) to base 6\nAnswer: 224132305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 70, 13, -1, -41 in descending order.\nAnswer: 70, 13, -1, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -6*l**3 - 4*l**2 - 62*l - 505. Let v be y(-7). Calculate the greatest common factor of v and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-147))\/(15\/105)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 - 21. Let h(g) = g**2 - 6*g. Calculate h(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 divided by 1499025?\nAnswer: 9\/499675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 8 = -12. What is the second derivative of -5*a**c - 3*a - 3*a**4 + a + 2*a**4 wrt a?\nAnswer: -72*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 66*o - 68*o + q + 11, 4*o - 25 = 3*q. Solve o*v = -8*v - 48 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*n**2\/2 + 375*n + 107\/2 = 0. What is n?\nAnswer: -107, -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**2 + 3*u + 7*u**2 - 2*u - u**2 + 5287 - 5286 - 72*u**3 in the form q*u**3 + w*u**2 + n + z*u and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3769 is divided by 105.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 1.098287 nanograms?\nAnswer: 0.000000000000001098287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of k**5\/330 + 13*k**4\/132 + 4*k**3\/11 + 4*k**2 - 43. Factor j(p).\nAnswer: 2*(p + 1)*(p + 12)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - j**2 - j + 6. What is the smallest common multiple of 9 and t(-3)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k + 2*k + k)*(3 - 3 - 14*k)*(3*k**2 - 3*k**2 + 2*k**2).\nAnswer: 56*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.1 from 0.0811.\nAnswer: 2.1811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34995*w**6 + 13*w**4 + 2566460*w**2 wrt w.\nAnswer: -4199400*w**3 + 312*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 13, 30, 0, 3, -20 in increasing order.\nAnswer: -20, -4, 0, 3, 13, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**2\/11 + 345144*q\/11 + 14890547592\/11 = 0.\nAnswer: -86286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7677786 to the nearest integer?\nAnswer: 2771","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10655.244s in hours?\nAnswer: 2.95979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -65.65 - -15.\nAnswer: -50.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 0) + (23 - 13 - 12).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-5))\/(6\/15).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.0897*10968\nAnswer: 983.8296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 43905*((-50)\/(-15) - 3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174704332.\nAnswer: 2, 11, 233, 17041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -2. Let x(u) = u**2 + 10*u + 28. Let n be x(-4). Suppose -3*l + 5 = -3*s - n*l, 5*s + 7 = -3*l. Which is the closest to -2? (a) -1 (b) f (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*p - 42 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**0*q)\/q*(q\/(q\/q**(-4)))\/q)**(-19) assuming q is positive.\nAnswer: q**95","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -38, -95, -168, -257, -362, -483, -620?\n\"Answer: -8*s**2 - 33*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.377 - -0.123. Let l be -1 - (-3)\/((-9)\/(-6)). What is the second smallest value in 5, c, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + v - 12. Suppose 4*q = -r + 121, r - 47 = -2*q - 4*r. Suppose -2*z + 139 = q. Let a = z + -54. Determine l(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9519860539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-16) + (-78024)\/(-576). Which is bigger: 135 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1735199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -10, 0.3, -0.36, -0.3 in ascending order.\nAnswer: -10, -0.36, -0.3, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2079146023 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 47 - -8 - (-201 + 360)\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + -5 - ((-1)\/(-1) + 0). Let q(f) = 21*f**2 - 3*f + 3. Is q(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/9))**(-3\/25)*(m*m\/(m**(2\/67)\/m))\/m*m**(-1\/59) assuming m is positive.\nAnswer: m**(586981\/296475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 45529123.31 rounded to the nearest one million?\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(363) + 5.\nAnswer: 5 + 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2491*l + 1300 + 174 = 2558*l for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.34 - 0.04. Which is the closest to 3? (a) -5 (b) 3\/8 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1600634043?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 2. Let o = -1.7 - c. Let s be (2\/(-6))\/(1 + 0). Put s, o, -2 in descending order.\nAnswer: o, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 - 6999*v + 2438*v - 8808*v to the form u + x*v and give x.\nAnswer: -13369","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 75594133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -24591 or -24590?\nAnswer: -24590","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 11:05 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a - 2. Let l be (6 + -1)\/(-5) + 4. Suppose m = -5*t - 19, l*m - 3*t + 11 = -2*m. Determine i(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12332 - 12314. Calculate the greatest common factor of 852 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1120031 + -103001033?\nAnswer: -110121130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*r - 195 - 354 = -21. Let a(o) = -24*o**3 - 6*o**2 + 8*o - 8. Let k(m) = m**3 + m**2 - m + 1. What is r*k(n) + a(n)?\nAnswer: -16*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s**2. Let x = 10 + 20. Let k(c) = -2*c - 10. Let n(d) = -1. Let m(q) = x*n(q) - 3*k(q). Determine m(a(z)).\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -y**6 - 4*y**4 + 323483*y**3 - 27*y**2 + 1096659 wrt y.\nAnswer: -120*y**3 - 96*y + 1940898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 1 - (-1 + -8). Let m = 117 + -112. Suppose -j = -2*j + m. Solve -h = -l + u, -3*l + 5*l = -3*h - j for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -68530, -136857, -205176, -273487, -341790, -410085?\n\"Answer: 4*v**2 - 68339*v - 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.25964 take away 1121723126?\nAnswer: -1121723125.74036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0184335 to four dps.\nAnswer: -0.0184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, y: 3}. Give prob of picking 2 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -2, 0.26, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = 3*o + 1, 2*o - 1 = 2*b + 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnannatqatnnqqk. What is prob of sequence qqn?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + 12*v**2 - 11*v + 30. Let p be h(-13). What is the second derivative of 92*a**4 + 190*a + 94*a**4 + 22*a**p wrt a?\nAnswer: 2496*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*d + 206 = 0, -2*d = 27*k - 30*k + 152. Suppose 29*q - 480000 = k*q. What is q rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*q = -12, k + 0 = 2*q - 8. Sort 2, k, 4 in ascending order.\nAnswer: k, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 + 46. Let x be v - 3 - 3 - -43. Suppose 0 = 2*l - x + 7. Calculate the remainder when 55 is divided by l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + f + 0*f)*(2*f**2 + f**2 - f**2) + 17 - 17 - 10*f**3 + (-2*f + 2*f + 2*f)*(-f**2 - 2*f + 2*f) - 145 + 8*f**3 + 145.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7*(2 - 3)*13. Let s = w - -302. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 113438945?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7453 + -6. Let c = 44797\/6 - r. Calculate the common denominator of c and (-3)\/5 + ((-2527)\/(-770) - -2).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 14. Suppose 1 = 2*d + 3*k, -d + 4*k + 0 = -6. Let t(b) = -13*b - o - 2*b**2 + 3*b**d + 8*b. Give t(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 756702.\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 11:30 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 88 - 52. Let s = a + -24. Solve -3*w + s = -3 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 332301149 and 106.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 2*p + 32 = 0, 0*z - 234876 + 234851 = z - 5*p for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -132 or 14?\nAnswer: -132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 6 - 3)*(2*y**5 + 0 + 0) + 0*y**5 - y**5 + 2*y**5.\nAnswer: -7*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5733, 5961, 6319, 6807, 7425, 8173, 9051?\n\"Answer: 65*k**2 + 33*k + 5635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3*i. Let n(z) = 2480*z. What is n(c(s))?\nAnswer: -7440*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 3 = 3*y. Factor 12*v**y - 5*v**2 + 8*v + 4*v**3 + 3*v**2 + 3 - 1.\nAnswer: 2*(v + 1)**2*(2*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d - 11. Let s be u(6). Suppose 4*v = 2*l + 2*v - 6, 4*v + 3 = l. Let n(a) = 3*a + 3 - 5 - a**l - 1 - 4*a**2. Give n(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lp when two letters picked without replacement from {p: 2, l: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - -3 - (4 + -14)\/(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 93.9 - 90. Let n = k + -0.8. What is n rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1684, 3369, 5054?\nAnswer: 6739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xtewxetwewtrrerxtt. Give prob of sequence xerx.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4368c9 (base 15) in base 4?\nAnswer: -30100011132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25720705*i**2*q - 1161*i**2 - 39*i - 7*q + 3790 wrt q.\nAnswer: 25720705*i**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 76, 1, -0.1 in increasing order.\nAnswer: -0.1, 1, 4, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1031.28 + 20.28. Let v = u + 1012.956. Let j = v - 2. Round j to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6.6 and 4.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((5*sqrt(275)\/sqrt(5)*-2)\/(((sqrt(66) + -1*sqrt(66))*5 + sqrt(66))\/sqrt(6)) + 5).\nAnswer: -25 + 50*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -602a7 (base 14) to base 5\nAnswer: -24343120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*a + 62*a + 3559050 = 61*a. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 245 and 246274?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/14)\/(-2 + 1). What is the second biggest value in -1\/6, 2, b?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -r**5\/60 + r**4\/4 - r**3 - 2*r**2 + 20*r - 1. What is h(-9)?\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 1.6. Let g(d) = -15*d**2 - 18*d + 33. Let q be g(2). Let i be (-12)\/18 + ((-69)\/q - 0). Which is the nearest to i? (a) -2 (b) -0.3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (19 - -1) - -12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by -87.\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 3:37 AM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**2 - w**2 + 4*w**2 - 2*w**2 + 2*w**2.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-10) + (-294)\/30. Let t be (-76)\/(-18) + 2\/d. Suppose -t*n + 101 = -67. Is 14 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/48*(-1)\/((-2)\/(-4)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = d + 9, d = 3*c - 5 - 4. Let t be ((-6)\/(-4))\/(d\/636). Let y = -75 - t. Calculate the remainder when y is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 663 divide 20068347?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000019371 rounded to six dps?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 17\/4 of a kilometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (168\/21)\/(0 + 2). Solve 6 = m*x - 7*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -87*f. Let a(i) = 7*i + 3. Let c(n) = 19*n + 8. Let v(q) = 8*a(q) - 3*c(q). Determine v(l(s)).\nAnswer: 87*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -5*n - 22, -2*a - 11*n = -9*n - 2. Sort -5, 32.7, 5, -0.2, a in descending order.\nAnswer: 32.7, 5, a, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82959 is divided by 27644.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -59 + 75. Suppose w = -3*p + 11*p. Factor -29*n + 12 + 46*n + 3*n**p - 29*n.\nAnswer: 3*(n - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**4 - 3*g**4 + 2*g**4)*(-1 + 1 - g) - 2*g**5 - 3*g**5 + 4*g**5 + 3*g**5 + 2*g - 4*g + 1 + 6*g.\nAnswer: 4*g**5 + 4*g + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10302892?\nAnswer: 2, 2575723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 5*m - 5. Let f = -68 + 9. Let w = f + 63. Determine k(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1287 and 198?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00562354 rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 110521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of -r**5\/60 - r**4\/3 - r**3\/3 + 2*r**2. Let l(q) = 27*q - 250. What is the remainder when l(11) is divided by o(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 9:02 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 36114*f**2*g*i**3 + f**2*i**3 + f*i**3 - 959*f*i wrt g?\nAnswer: 36114*f**2*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11627 or -11626?\nAnswer: -11627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**2 + 10*k + 6. Let x(d) = 6*d**2 - 30*d - 17. Let w(y) = -17*l(y) - 6*x(y). Factor w(f).\nAnswer: -2*f*(f - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1578 a factor of 732746359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 6, 22, -9, 3.04, -3 in decreasing order.\nAnswer: 22, 6, 3.04, -2\/7, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 172353.4 minutes to microseconds.\nAnswer: 10341204000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -7*v - 5. Let i(m) = 1 - m - 3*m - 4. Calculate 5*i(a) - 3*j(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -1. Suppose -d + 2*r - 4 = -a*d, 0 = -2*d + 2*r + 8. Suppose 5*o + d*v = 21, 3*v + 10 = -2*v. Let i(n) = -n**3 + 6*n**2 - 6*n - 3. What is i(o)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4*(sqrt(891)*5 - sqrt(891)) - sqrt(891)) + (((sqrt(308) + -1*sqrt(308)*3 + sqrt(308) - sqrt(308)) + sqrt(308))\/sqrt(7))**2 + -3.\nAnswer: 41 + 540*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (6 - -1 - 4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8.46 - -10.7. Let a = 0.44 - p. Let v = 17.5 + a. What is v rounded to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 253*l**2*v + l*v + 3*v wrt l?\nAnswer: 506*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, f: 2, c: 1, v: 4, k: 1}. Give prob of sequence vfjc.\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, p: 11, z: 1, k: 4, c: 1}. Give prob of picking 1 k and 3 p.\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q**3 - 96*q**2 + 111*q + 3549. What is y(-32)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 611.3 + -608.3. Sort g, 70, 0.41 in descending order.\nAnswer: 70, g, 0.41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p - 82*p**2 - p**3 - 3*p - 141*p**2.\nAnswer: -p**3 - 223*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((-4 + 3*sqrt(180))**2 - sqrt(180)) + -4).\nAnswer: -3264 + 300*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 3*h**2 - 11*h. Determine b(3).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r**2 + 6*r**2 - 10*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n + 3*n + b, 0 = n - 4*b. Let l(v) = -v**3 + 8*v**2 + 71*v - 71. Let y be l(-6). Solve z = o + 1, 2*z - z + o - y = n for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by -1419?\nAnswer: 19\/1419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/3)\/(5\/(30\/(-4))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -16.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 3:09 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1092 - -200. List the prime factors of (2\/8*-6)\/(3\/k).\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -87 + 89. Does 6 divide (3 - 17)*o*(-9)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 58 + -51. Solve 0 = -k - 9 + f for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.1, -5, -2\/9, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -u**3 - 28*u**2 + 19*u + 4873. Factor n(f).\nAnswer: -(f + 19)*(3*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1738, 3043, 4356, 5677, 7006?\n\"Answer: 4*f**2 + 1293*f + 441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 4*a - 10. Let x be t(6). Let u be (7\/x)\/((-3)\/(18\/3)). Solve u*o**2 + 0 + 0*o - 2\/5*o**3 + 1\/5*o**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 65, 229, 493, 851, 1297, 1825, 2429, 3103?\n\"Answer: -z**3 + 56*z**2 + 3*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*g**3 - 469*g**4 - 767*g**2 + 399*g**4 - 21*g**3 wrt g.\nAnswer: -1680*g - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14288 or 2700559\/189?\nAnswer: 2700559\/189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -212220 - 21000120?\nAnswer: -21220110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1151 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20886764.\nAnswer: 2, 5221691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-2)*180\/18. Find the third derivative of 13*c**5 - 13*c**5 + 0*c**2 + j*c**6 + 15*c**2 wrt c.\nAnswer: 600*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3318 greater than 66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 768 divided by -192\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 56 - 0?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216*x - 224 = -188*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 108*b**2 + 320*b**2 - 191*b**2 in the form g*b**2 + m*b + k and give g.\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rpc when three letters picked without replacement from {c: 2, p: 2, r: 2, x: 4, t: 3}.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3841 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 146856732?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-16)*(-9)\/(27\/(-2)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 33\/5 of a day?\nAnswer: 9504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/4 + 189\/(-14). Let b be ((-8)\/g)\/((-17)\/(-119)). Differentiate b*i + 422 - 6*i - 416 with respect to i.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i**3 + 5*i**2 + 4*i + 2. What is the tens digit of g(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*k**2 - 6*k**2 + 6*k - 6*k to the form i*k**2 + f*k + c and give i.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 2:06 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 180 and 30220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34 + 42. Calculate the highest common divisor of 12 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -a**5\/20 + a**4\/4 + a**3\/2 - a**2 + a. Let o be 5\/20 - 22\/(-8). What is the units digit of f(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 6526.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3*h. Let t(i) = 2*i - 1. Let x(r) = 63*r - 35. Let p(s) = 35*t(s) - x(s). Give -7*n(c) - 4*p(c).\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 3*u + 13, 5*u - 6*u = -t - 5. What is the smallest common multiple of (-1)\/(2\/(-40)) + -2 and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2220, 2219, 2218, 2217, 2216?\nAnswer: 2215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 686 - -351. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44 (base 15) to base 8\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - n + n)*(-25 + 18 - 11) - 14*n + 3 - 21*n + 38*n.\nAnswer: 39*n + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.21187 - 0.2095612. Round h to 4 decimal places.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-6)*-2 - 0. Let r be 41 + g + 0 + -1. Suppose -b + r = 14. Solve 0 = -5*h + b for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3817789991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/72*12*(-1)\/2.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 9*k + 24. Give o(-9).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 65 - 22. Suppose -38 - p = -3*o. Suppose -5*w - 5*h + 49 + 46 = 0, 0 = -2*w - 5*h + 44. Calculate the remainder when o is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 + 25. Let t = -12 + m. What is the remainder when 5 is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**4 + 2*p**2 - 4 + 8 + 0*p**2 + 0*p**4 to the form c*p + t*p**3 + g + a*p**4 + v*p**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 3*t = 7*t + 238, -4099*t + 4097*t + 208 = 2*d for d.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/66*2*-21.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00011484325 rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - 7*k**2 - 3*k - 2. Let s be j(-7). Suppose 4*d - 3 = 1. Suppose 5*r - 21 = y, d = 5*y - s. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -2. Which is the third smallest value? (a) -4 (b) r (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 6*i - 2*i - 448 = 0, -3*i = 3*f + 645. Let u = 425 + f. Suppose -7*t + u + 73 = 0. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 8, 5*f + 5*m + 4 = f. Suppose -5*c = f*q - 27, -3*q = -3*c - 2*q + 23. What is the first derivative of 7 - 9*a - c*a + 3 - 4 wrt a?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ko when two letters picked without replacement from {k: 4, m: 1, n: 2, u: 2, f: 3, o: 3}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -14*p - 24. Let c(s) be the second derivative of -5*s**3\/6 - 4*s**2 - 10*s. Let r(g) = -17*c(g) + 6*w(g). Calculate r(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -4*o**3\/5 - 36521528*o**2\/5 + 4*o\/5 + 36521528\/5 = 0.\nAnswer: -9130382, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 5, -755 in descending order.\nAnswer: 5, -8, -755","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c\/c**(-18))))\/(c*c*c*c**(-16)*c) assuming c is positive.\nAnswer: c**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -938.9 + 939.34334. What is o rounded to three dps?\nAnswer: 0.443","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321316 is divided by 2264.\nAnswer: 2092","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + 7*m - 2. Let u be q(10). Let f = u + 62. What is the greatest common divisor of 180 and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l + 1898. Let t(j) = 152*j**2 - 201*j**2 + 48*j**2. Determine t(w(b)).\nAnswer: -4*b**2 + 7592*b - 3602404","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r**3 - 1578*r**2 + 1582*r**2 + 13*r**3 + (-3 + 5 - 4)*(6 - r**3 - 6) + 8*r**3 - 10*r + 10*r.\nAnswer: 19*r**3 + 4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221010122 + -1012?\nAnswer: -221011211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 78*m**3 + 1880*m**2 + 192*m = 0.\nAnswer: -24, -4\/39, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -4*c + 16, 5*c - c - 20 = 0. Suppose -4*z = -z + n - 7, -5*n + 5 = 0. What is the highest common factor of p and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8281 - 8277. Let z(j) be the second derivative of -6*j + 0*j**2 + 3\/4*j**h + 0*j**3 + 0. Let r(f) = -3*f. What is r(z(n))?\nAnswer: -27*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**3 - 66*f**2 - 6*f - 6. Let b(t) = -t**3 - 65*t**2 - 5*t - 5. What is -6*b(x) + 5*h(x)?\nAnswer: -4*x**3 + 60*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -170191c?\nAnswer: -1701918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -280 - -282. Suppose 0 = 5*f + 4*j - 1184, 4*f - 468 = c*f - 3*j. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3181221 is divided by 356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 134 + 3*g - 7*g + 323 + 19 + 3*g in the form q*g + u and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66 and 10661442.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of p**2*v**3 - p**2*v**2 - 102*p**2 - 14*p*v**3 - 41*p*v**2 + 1863*v**6 + 19 wrt v.\nAnswer: 6*p**2 - 84*p + 223560*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1346052922.\nAnswer: 2, 29, 31, 748639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2658 - -0.2658. What is the third biggest value in l, 242, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 131, -0.1, 3, -1\/15, 3\/7, 4?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -19, -49, -93, -151?\nAnswer: -223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1304, -965, -422, 319, 1252, 2371, 3670?\nAnswer: 5143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f\/(f*f**(-14)))**(23\/2) assuming f is positive.\nAnswer: f**184","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/326, 0.4, -0.15, -2.361?\nAnswer: -2.361","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7129.3 and -63.\nAnswer: 449145.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 2:56 AM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9*1 - (3 - 2). Let q = 181 + -174. Suppose -m + q + i = 0. Solve -2*n - n = m for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -173 - -3981\/23. Let w(i) be the third derivative of -i**4\/24 + 11*i**3\/6 + 4*i**2. Let b be w(12). Which is smaller: b or q?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - ((-5 - -5) + -1) - (-1 + -3).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -626 - -633. What is the nearest to 1 in 2\/7, x, -0.2, 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55 and 15565?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/5 + 2\/(-5). Let m be (-3 - -3)\/(0 + -1 - 1). Let j = m - r. Do j and 5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -517604, -1035611, -1553618, -2071625, -2589632, -3107639?\n\"Answer: -518007*i + 403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 + 20. Suppose 0*f = 5*s - u*f + 27, 4*f - 9 = s. Is -5 less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - -6 - 6 - 1) + 13. Suppose 3218 = m*k - 1902. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a gram in milligrams?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/543 and -34\/2152633?\nAnswer: 6457899","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*r + 6*b, b - 3 = 2. Let s be 2\/(-8) + 3\/12. Sort s, r, -9 in increasing order.\nAnswer: -9, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 364566.7 millennia?\nAnswer: 364566700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*t = -129*t - 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 AM and 11:15 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114592 = 20*f - 63088. Is f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*t**2 - 2*t**3 + 2\/3*t + 0 + 4\/3*t**4.\nAnswer: 2*t*(t - 1)**2*(2*t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*f - 26*f - 31*f + 22936 = 306*f for f.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eighteen fifths of a centimeter?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2940 + 7087. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1269 divided by -29?\nAnswer: -1269\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tktkkktttkkktttt. What is prob of picking 1 t and 1 k?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q*q**(-1\/2))*q*q**1*((q\/q**(2\/7))\/q)**7 assuming q is positive.\nAnswer: sqrt(q)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 7:59 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*a = 66 + 46 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*k - 2*k + 0*k)*(1 + k - 1 + (0 + 11 - 1)*(-4*k + 4*k + k)).\nAnswer: -110*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i = -22986654 - 11363346. What is i rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 135 = -55. Let g(u) = 4*u**2 + 36*u + 90. Let b be g(-6). Let i be ((-9)\/b)\/(7\/t). Which is smaller: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2*(sqrt(44) - 4*(sqrt(44) + 1)) - (2*((sqrt(77) - sqrt(77)*2) + sqrt(77) + sqrt(77)))\/(sqrt(14)\/sqrt(2)*-6))**2.\nAnswer: 560*sqrt(11)\/3 + 14042\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 35.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 5:26 PM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/877421 and -62\/774195.\nAnswer: 13161315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 10*r**3 + r**2. Let l be 114\/1083 - (-4)\/(-38) - 4. Let x(a) = -21*a**3 - a**2. Determine l*x(v) - 9*m(v).\nAnswer: -6*v**3 - 5*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of 0*s + 51*s**2 + 0*s**4 + 1\/1176*s**8 + 0*s**3 - 4\/735*s**7 + 1\/140*s**6 + 0 + 0*s**5. Find h, given that y(h) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d - 4*z - 1, 0 = d - 5*z + 7 - 13 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 51, -3, 16, 4, 5 in descending order.\nAnswer: 51, 16, 5, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6 + 19 + 4\/2. Suppose 2*x - 5*y - 73 = 88, -v = -3*y. Suppose -x = -5*p + 4*n, 3*n + n = -3*p + 43. Does 5 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (4 - (-4 - -10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/40 + -6398*(-10)\/50. What is the highest common divisor of q and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96\/144 + (-2)\/6.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 2*m**2 - m. What is i(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 6*d**2 + 30*d + 10. Let x be -10*6*2\/(-10). Let t = x - 5. What is the least common multiple of t and y(-5)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*k + 92039 = 485950. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 895*y**2 + 605*y**2 - 1592*y**2.\nAnswer: -92*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 14822*y - 19342708. Determine b(1305).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/18 - (-10021)\/99?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*m + 44*m - 4 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9674497 and 63742.\nAnswer: 1099","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 344*i - 103296. Give s(299).\nAnswer: -440","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2470 - 531*o + 2476 - 4946 in the form n + z*o and give z.\nAnswer: -531","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -j**5\/20 - j**4\/6 - j**3\/2 + 19*j**2\/2 - 1716*j. Let w(h) = -2*h**3 - 3*h**2 - 4*h + 20. Calculate 4*m(p) - 3*w(p).\nAnswer: 2*p**3 + p**2 + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 6 = 4*q + d + d, q + 2*d - 1 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 1547 = 5*j, -2*w - 2*j - 1538 = -6*w. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/9*(28\/16 + -1).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1589, 5696, 12301, 21398, 32981, 47044, 63581, 82586?\nAnswer: 104053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -497 divided by -4\nAnswer: 497\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 4*m + 2. Let p = -1 + 4. Suppose -p*z - 2*i + 3 = 3*i, -2*i = -5*z - 26. Let j be h(z). Which is the biggest value? (a) j (b) -0.4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*d**3 - 88 + 41 + 2*d - 5*d + d**2 - d + 48 as k + x*d + r*d**2 + q*d**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 954 and 141298?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - (-21 + 25)) + -4 + -1 - 2.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 9*s + 25. List the prime factors of h(7).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 4*k - 24. Calculate the smallest common multiple of (-56)\/(-10)*(-5985)\/(-342) and k.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/2 (b) 0.053 (c) -0.5 (d) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 18*o**2. Let d(t) be the third derivative of t**4\/24 - 18*t**3 - 10*t**2 + 35*t. Calculate d(h(u)).\nAnswer: 18*u**2 - 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 526 - 531. What is the smallest value in 3\/7, b, -3, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 6. Suppose -4 = -t, 3*f - 4*f = -y*t + 13. Let i(d) be the second derivative of -d**5\/20 - d**4\/2 - d**3\/2 - d**2\/2 + 29828*d. Calculate i(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 83.81 - 0.81. Let o = l + 19. Let v = o + -110.2. What is v rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of 3*m**6\/40 + 19*m**5\/40 + 5*m**4\/4 + 32*m**3\/3 + m**2\/2 - m - 10. Let h(p) be the second derivative of s(p). Factor h(l).\nAnswer: 3*(l + 1)*(9*l + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 57*k**2 + 2*k - 2. Let r(u) = -248*u**2 - 7*u + 10. Calculate 9*i(t) + 2*r(t).\nAnswer: 17*t**2 + 4*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6944 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 5*v - 5*v)*(0 - 3*v + 0 + v + 1 - 1 + 0*v + v + 0*v + (-5*v + 2*v + v)*(-1 - 3 + 3) + v - 1 + 1 - 3 + v + 3).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(3*1*sqrt(68)\/sqrt(4) - (sqrt(425)*2 + 1*sqrt(425)))*-4)**2.\nAnswer: 352512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 31 - 1489. Is f a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -b - 1560, -1040 = -2*i - 3*b - b. Suppose 5*s = 3*q - 380, -2*s - i = -4*q + 2*s. Let z = -84 + q. Is z a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3*q**3 - 21*q**2 - 7*q - 43. Determine p(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82948?\nAnswer: 2, 89, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 (base 15) in base 2?\nAnswer: 1111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8643 is divided by 243.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 4*d**4 - 4504*d**3 + 1262768*d**2 - 2512040*d + 1253772 = 0.\nAnswer: 1, 513, 611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a factor of 613040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 394098250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - 9567451049152?\nAnswer: -9567451049151.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -68*i**2 - 5*i + 408 with respect to i.\nAnswer: -136*i - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -7*j**3 - 4*j**3 + 10*j**3 - 9*j**2 - 3*j. Let i be c(-6). Round i to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m - 4*d + 32, -2*m - 13*d - 427421 = -427468 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -437*p**2*w**2 - 683*p**2*w + p*w**2 wrt w.\nAnswer: -874*p**2 + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/12)\/((-5)\/(-5 + 15)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 10*s - 5. Let n = 0 + -11. Let f be b(n). Suppose -f*y = -122 - 178. 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: Let c = -8 + 7. Suppose 3*v = -1 - 8. Put v, -11, c in decreasing order.\nAnswer: c, v, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2 + 356682*w - 10601837427.\nAnswer: -3*(w - 59447)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/84*-234 - 15\/6 - (-1)\/7. Factor -v + 2\/3*s**2 - 6*s + 2\/3*s**3.\nAnswer: 2*(s - 3)*(s + 1)*(s + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hjfssqpqj. What is prob of picking 1 j, 1 f, and 1 p?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29616261.\nAnswer: 3, 17, 580711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 - (6 - (1 - 21)). Let h = x - -155. Is h a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13428, 13462, 13500, 13542, 13588, 13638?\nAnswer: 13692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -71*p - 11*p - 84*p to the form v*p + s and give v.\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 9*u + 10. Let t be a(-7). Let c(w) = -10*w - 4. Let q be c(t). Let x = -25 + q. Solve 4*y + 2*j = 4, y - 4*j + 2*j - x = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**4 + a**3 - 520*a**2 - 742231.\nAnswer: 4*a**3 + 3*a**2 - 1040*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 144 + 15*k**2 - 144 + (2 - 2*k - 2)*(-2*k + k + 4*k) - 6*k + 6*k + k**2.\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -88, -958, -3326, -7942, -15556?\n\"Answer: -125*n**3 + n**2 + 2*n + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -35*o**3 - 846*o**2 - 3276*o - 3274. Let u(v) = 75*v**3 + 1693*v**2 + 6548*v + 6547. Let y(t) = -13*a(t) - 6*u(t). Solve y(n) = 0.\nAnswer: -164, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 + -2 - 4) + (-7 - 5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -105\/124, 16, 2 in ascending order.\nAnswer: -105\/124, 1\/3, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -82966*v**2 - 55661?\nAnswer: -165932*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 158 and 1144157?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16.4 + 13. Let y = v - -0.4. Let p be (-16)\/(-24) + 1*-1. Which is the third smallest value? (a) y (b) p (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130080.\nAnswer: 2, 3, 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m - 8*m = -784. What is the second derivative of -47 - 13*p**3 + 2*p - m - p**5 + 81 + 0*p**5 wrt p?\nAnswer: -20*p**3 - 78*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1398623?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155004 is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from pzzzrpkzpbrkrp?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 16*f**2 - 29*f + 22. Let v be i(14). Solve 0 = -5*k + 2*n - 8, -4*k - v = -9*k - 2*n for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 168136.1692 to the nearest 10000.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of r**4\/4 - r**3\/3 + 3763*r**2. Let u(x) = x**3 + 8*x**2 - 4. Let z be u(-8). Calculate g(z).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -692 + 299. Let s = r + 458.2. What is s rounded to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2*x + 3 = 2*m, -3*m - 4*x - 3 = 0. Which is the biggest value? (a) -2\/7 (b) m (c) -0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000036258 rounded to 7 dps?\nAnswer: 0.0000363","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 230 + -230. Sort v, 2, -17 in ascending order.\nAnswer: -17, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 5*q**2 + 1. Let t be l(1). Solve -2 = -2*i, -2*c - 5*i + 17 = -t*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -109, 5, -1, 0, -6 in increasing order.\nAnswer: -109, -6, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - d = 4*d + 297, -3*z - 450 = 3*d. Calculate the common denominator of -151\/6 and (z\/9)\/(3 - (-114)\/(-18)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - 0 - (42 - 67 - -19)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n**(3\/4)*n)*(n\/n**(-1\/24))\/n assuming n is positive.\nAnswer: n**(-17\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -b5 (base 12) to base 8\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.04 + 0.34. Let b = -1.3 + 0.3. Let n = 0.1 + 0.1. What is the closest to b in n, r, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-350)\/(-1120))\/((-2)\/(-8))\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 123186?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 + 3*h**2 + 0*h**2)*(-5*h + 4*h + 2*h).\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-3)*4*(-9)\/6. Let c(w) be the first derivative of 3 - 2*w**n + 2*w + 2*w - 3*w. Calculate c(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87166 (base 9) in base 16?\nAnswer: -e184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b - 5*s - 12 + 34, 2*s - 10 = -2*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9537 + -16538. Let h = -2074 - b. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/180 and 5\/54?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**2 - 4*r**3 + 23*r**4 + 137*r**4 - 2*r + 2 + 2*r**3 to i*r + c*r**3 + f*r**2 + v*r**4 + o and give v.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/6 - 1218\/(-4). Suppose -5*n + 0*n - 1520 = -5*j, -b = n - 3*j. What are the prime factors of n\/(-10) - 4\/10?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + (-28 + 16 - 2) - -7.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 10363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 726270 divided by -8445\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 0, -2*u + 12 = 3*c - 51. Suppose -36 - c = -3*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 13*x**2 + 12*x + 27. Let j be l(14). Calculate the remainder when 70 is divided by j\/((-57)\/27 + 2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -446, -339, 64, 913, 2358, 4549, 7636?\n\"Answer: 25*c**3 - 2*c**2 - 62*c - 407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1458 - 1458.583. Let t = -7.583 - w. Suppose 4*g - 3*y = 7, 3*y + 25 = -7*g + 2*g. Which is the second biggest value? (a) t (b) g (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -227 in 5\/6, 0, 4, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -5 + 8. Suppose 0 = -4*j + 2*c, 7*j = y*j + 4*c + 8. Let r(t) = 7*t + 3. Determine r(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from eppppepppe.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 309 + -309 + (-2 - (-4 + -17)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.8 - -3.2. Which is the closest to 0.3? (a) 2 (b) z (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2204403*y - 9438698 with respect to y.\nAnswer: 2204403","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 11\/40, -6, 5, -2540?\nAnswer: -2540","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from maadssaaa. Give prob of sequence ma.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -18*(4\/30)\/((-6)\/(2250\/15)). Solve 3*j = -12*j + g for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -42*h**5 - h**3 + 5*h**2 + 59*h - 10004. Find the second derivative of o(f) wrt f.\nAnswer: -2520*f**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 88080.1l?\nAnswer: 88080100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 6) + -1 + 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44830108.99523 - 44829002. Let b = v + -1107. What is b rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3373 = -3402. Solve 27*x - 11 = h*x + 3*d, -x + 8 = -3*d for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1050*j + 231*j - 22932 for j.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1d7d0 (base 15) in base 11?\nAnswer: 66369","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 3*b - 5, -5*o - 2*b = -0*b - 3. Let g = 7 - 1. Let j(i) = -5*i - i**2 - i**3 + 0*i**2 + g*i - i**2. Give j(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11180.753 + -11188. Round f to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1.370073 months?\nAnswer: 0.00011417275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.512 take away -8?\nAnswer: 8.512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120331*q + 120305*q = 217 - 35 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1214690363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 256 and 5248?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, -4, -0.028976?\nAnswer: -0.028976","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 20. Let r be (1*-8)\/(10 + j). Calculate the highest common divisor of r and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-52)\/(-13) + (1 - -1). Let q(x) = x**3 + 8*x**2 - 12*x - 2. Let h be q(-9). Let m = h + -10. Calculate the highest common divisor of m and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2367\/(-4734)*(12\/2)\/(20\/(-6))*2.\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 1, -2, -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4635701 to the power of 1\/3, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -5*x + 2*j - 35, 5*x - 3*j + 5 = 0. Let c be x + 1 + (2 - -3). Suppose -4*g + c*g = 266000. Round g to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (s - 3*s + s)*(3 - 3 + 4*s + (s - 2 + 2)*(0 - 1 - 1)) as l*s + h*s**2 + j and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.433 - 1.333. What is the nearest to a in 3, -30, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -3. Suppose y = c + 4*c - 65. Calculate the greatest common divisor of 26 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*v + 6*v - 28*v + 6*v as n*v + z and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (40\/(-50))\/(2\/10). Put 1, 2, b in decreasing order.\nAnswer: 2, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 6*g**2 + 7*g + 2. Let m be d(6). Let v = m + -26. What is the remainder when v is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -138.7 times 0.08\nAnswer: -11.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.4 - 36.7. Round l to 0 decimal places.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 4*x + 20, -3*p = -3*x + 26 + 7. What is the tens digit of (-6)\/p + (-964)\/(-16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -17 - -1?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36*-4.\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2627447393?\nAnswer: 17, 154555729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 1. Let t(x) = 7*x**3 - 2*x**2 - 3. Let f(i) = -10*i**3 + 3*i**2 + 4. Let p(l) = -5*f(l) - 7*t(l). Give -2*p(z) + s(z).\nAnswer: -z**3 + 2*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-5))\/((-1)\/(-5)). Suppose -20 = -c*f + f + 5*d, f - 8 = d. Solve 0 = -f*o + z - 4, o + 0*o + 5*z + 6 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3895 divided by -5.\nAnswer: 779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.97 + -0.03. Let x = 118 + -123. Let y be 2 - 7 - x\/(-20)*-4. What is the smallest value in d, 1, y, 0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 8660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -11547*g + 33342. Determine n(3).\nAnswer: -1299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-22)\/f*f\/(f**(27\/4)\/f)*(f*f\/(f*f**(-36))*f)**(-20) assuming f is positive.\nAnswer: f**(-3151\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1445 and 140115292?\nAnswer: 700576460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0\/(((-2223)\/13)\/(-19)))\/1)\/(6\/3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1 + (4*sqrt(11)*-4)**2.\nAnswer: 2811","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x - 2. Give u(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -2*v + 2, -z - 3 = -v - 0*z. Let t(w) = 2*w + 27. What is the lowest common multiple of v and t(-13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -0.19\nAnswer: -0.057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 4 = 5*u. Let n(t) = t - 8. Let c = -1 - -12. Let g be n(c). Solve 5*y - 3*z = 2 + u, -g*z = -3*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 1122881 - 1122875 = 0, -j - 18 = 5*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47 - 90 - 39)*(3*y - 2 + 2)*(-2*y**2 + y**3 + 2*y**2).\nAnswer: -246*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from uusuuuuuuusuusuwwuw?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*w**3 + 27*w - 50*w + 23*w.\nAnswer: -114*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 64975697 to the nearest integer?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-6)*(-375)\/(-875).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1915405, -1915393, -1915373, -1915345?\n\"Answer: 4*q**2 - 1915409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b + 31 + 29 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84, -79, -96, -147, -244, -399, -624, -931?\nAnswer: -1332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.449 and 2\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 15*g**2 + 9 + 4 - 13 + 12*g**2. Let r(b) = 2*b. Calculate r(c(j)).\nAnswer: 54*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 23 = 3*t, 3*t = 5*g + 50 - 28. Let a be (-86)\/18 - 2\/9. Sort a, g, 11 in increasing order.\nAnswer: a, g, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 32*s + 3. Let l(z) = 16*z + 1. Determine 5*l(g) - 2*y(g).\nAnswer: 16*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -1479\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(3\/7)\/m)\/m*m**3)\/(m**12*(m*m**(3\/2)*m)\/m*m*m))**(-2\/5) assuming m is positive.\nAnswer: m**(211\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: -63 divided by -12\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -887 and 4.99.\nAnswer: -4426.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2289*j**2 - 990*j**2 - 54 - 344*j**2.\nAnswer: -3623*j**2 - 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -b**4\/4 - b**3\/3 - b**2\/2 + b + 3. Let t(z) = -10*z**3 - 4*z**2 - 6*z + 4. Let w(i) = -8*o(i) + t(i). Factor w(v).\nAnswer: -2*(v - 2)*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a - 20. Suppose -3*l - 4*w + 25 = 0, 0*l + 15 = l - 2*w. Let q be h(l). Calculate the greatest common factor of q and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 430*m - 435*m + 3*d - 14, -3*d = -2*m - 2 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -7241448000 to the nearest 1000000.\nAnswer: -7241000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 494046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 116 and 1566.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qnqr when four letters picked without replacement from nqrqqqnqrqnqnrr?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5403483 to the nearest integer?\nAnswer: 2325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 41 + (-24 - (-6 + -1)) + 2 + 6\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6238 is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aif when three letters picked without replacement from dfahijij?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + 5*v + 4. Let r be m(-5). Let z be (-3)\/2*r\/(-3). Let f = 3 + -2. Solve -z*d + d + f = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a - 3*p = 41, -17 = 660*a - 655*a - p for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(72\/8 - 12). What is the closest to -1\/2 in -1, t, -274, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1742\/195 - 16 - (-2)\/30?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -1874*p. Let b(r) = 12*r + 2. Give g(b(h)).\nAnswer: -22488*h - 3748","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -t + 36. Calculate the remainder when 74 is divided by t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-990)\/(-100)*(-310)\/1705.\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -5*p + 7 + 20, 4*p + x = 18 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40 + 44. Let h(q) = -q**2 - 4*q - 1. Let u be h(-3). Suppose u*i - 108 = l. What is the highest common factor of i and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1 + 4*(1 + sqrt(171))**2*1.\nAnswer: 24*sqrt(19) + 685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -2*b + b - 13, -17 = 2*q - 3*b. Let f be -5475*(-41 + (q - -5)). What is f rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144190747 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116556 divided by -6.\nAnswer: -19426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2701\/70 - -483\/10. What is p in 18\/7*p**5 + 2\/7*p + 92\/7*p**3 + 48\/7*p**2 - 4\/7 + y*p**4 = 0?\nAnswer: -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 10 - -5) + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3 = -2*w - 7, -w - 5 = 0. Suppose -3*o + 53 - 5 = v. Is 11928\/o + -2 + (-3)\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 16 = 10*r - 9*r. Solve -n = -2*d - 2, r*d - 2 = -3*n - 26 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 5*w**2 + 2*w + 3. Let p(m) = -m**3 + 4*m**2 - 2*m - 2. Let j(k) = 2*b(k) + 3*p(k). What is j(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22.8? (a) -1\/5 (b) -929\/5 (c) 2\/3 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -13659*c + 300502. What is f(22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -56223080 at most as big as -56223074?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3*b - 845 = -126, 0 = 4*g + b - 731. Suppose 4*q + 4*c - g = 6*c, 0 = q - 2*c - 47. Calculate the smallest common multiple of 33 and q.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3 + sqrt(288)*5 - sqrt(288))*-4 + 0.\nAnswer: -576*sqrt(2) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -5.3, -0.3, -5, 3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -8937?\nAnswer: -8940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of 19*d**2\/2 - 7*d - 1. Let r be p(7). Let t = -47 + r. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o - 6. Let q be h(7). Let r = 22 - q. What is the greatest common factor of r and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 175 and 200?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 131 + -134 + 49 + 32.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001400946046 to 5 dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 12*o + 5. Let b be x(12). Let k be (-72)\/b + 12\/30. Let n = -12 - k. Is n > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*(a*a**(2\/3))\/a)**(1\/29)*(a*a\/(a\/a**(2\/11)))**(-12\/7))**(2\/27) assuming a is positive.\nAnswer: a**(-25912\/180873)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 216*b + 3 = 214*b, y - 4*b = 15 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*o + 1659 = 254*o + 7939 for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 + 23. Let t = -245 + 2699\/11. Which is greater: p or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)\/(sqrt(32)\/sqrt(4)))**2 - (sqrt(99)\/(sqrt(9) - sqrt(81)))**2) + (sqrt(132)\/(sqrt(972) + (sqrt(972) - (1*sqrt(972) - sqrt(972)))))**2.\nAnswer: 671\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10001312 + 233?\nAnswer: 10002100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 1:09 AM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.5, -8\/15, 1\/9, 2\/15, 9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in 2, -220\/21, 0, 5, 2\/19?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-82590)\/(-7))\/((-66)\/(-21) - 3). Is u\/78 - 2\/(-13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 16) to base 2\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 47733 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 16 = 56. Suppose -4*h - 2*d = -0*d - i, 3*h + 5 = -5*d. Suppose h*a - 4*y = -y + 385, 2*y = 0. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2\/7 + 12*r\/7 - 9\/7.\nAnswer: -3*(r - 3)*(r - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - 94 + 92 - 2*n + n**3 + 4*n**2. Let q be (10\/4)\/((-9)\/18). Let u be g(q). Solve -b = b - u for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2*t**3 - 4*t + 3*t + 0*t + 2*t**4 - 3 - 3*t**2 to the form v*t**2 + f + n*t + j*t**4 + c*t**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-540)*40)\/((-50)\/2475)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 2*z**2. Let y(d) = -5*d**3 + 12*d**2 - 172. What is 6*b(w) - y(w)?\nAnswer: -w**3 + 172","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(2\/41))\/q**(4\/13))\/((q*q**(-1\/30)*q)\/q**3))**(-31) assuming q is positive.\nAnswer: q**(-879563\/15990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 20 = -16. Suppose -h*f = 4*w - w - 147, -2*f = -4*w + 174. Calculate the greatest common divisor of w and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25754844 divided by 4\nAnswer: -6438711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -708 - -390. Let w = 465 + x. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 745 is divided by 260?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2 - 175422*p - 9642160.\nAnswer: -2*(p + 55)*(p + 87656)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-6*-1*sqrt(539) - sqrt(539)).\nAnswer: -35*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 4*l - 3*v, 124*l - 4*v = 127*l - 45 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13388290 and 930490.\nAnswer: 7690","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 226?\nAnswer: 3\/226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3803087 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 6)*(2 - 2 - 2)*(-2 - 2 + 3 - 2*h**2).\nAnswer: 12*h**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 16) in base 15?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -3 (b) 4 (c) 2 (d) 1 (e) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -567779896.568.\nAnswer: -567779895.568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**4 - 4048*y**3 - 878689*y**2 - 46918352*y - 46043712 = 0.\nAnswer: -104, -1, 4257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4322772287 less than 759?\nAnswer: -4322771528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -194 + 199. Which is bigger: m or -2\/15?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*h**5 - 37025*h**4 - 69224560*h**3 - 2527011460*h**2 - 29920711200*h - 115360776000 = 0. What is h?\nAnswer: -3684, -17, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1201529790 a multiple of 3789?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7339.2, 4.99, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 7*q**2 + 5*q - 3. Suppose -4*h - 4 = 4*x, 2*x + 4*h + 8 = -0*x. Let u(r) = -4*r**2 - r + r**x + 2*r**2. Let n(c) = 2*u(c) + y(c). Give n(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 6482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + m. Calculate the remainder when 6 is divided by l(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000127558 to seven decimal places.\nAnswer: 0.0000128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9447317 and 242.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g**2 + 18*g. Determine x(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12538785?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 3, -0.1, 4, -70 in increasing order.\nAnswer: -70, -0.1, 2\/5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h + 5*q - 25, -5*h + 53 = -5*q + 78 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -70, -243, -518, -895, -1374?\n\"Answer: -51*w**2 - 20*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of 9*z**5\/20 + 26*z**2 + 3. Let o(p) = p**2. Determine o(f(q)).\nAnswer: 729*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2907\/10 - -291. What is the fourth biggest value in q, 0, -1\/2, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 150410?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6470?\nAnswer: 2, 5, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - y**2 + 34. What is the units digit of d(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.5 - -28.5. Let q = 24.8 - n. Round q to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 2027447?\nAnswer: 2027443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 800465, 800490, 800515, 800540, 800565?\n\"Answer: 25*x + 800440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2654181969 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -92762 - 109238. What is l rounded to the nearest ten thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m**2 - 19*m + 6. Let h be i(6). Let t be (0 + -2 - h)*(-3)\/2. What is the second derivative of 28*k + 17*k**t - 63 + 63 wrt k?\nAnswer: 102*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -67 or -5177\/79?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -185\nAnswer: -55.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1272340 to the nearest ten thousand.\nAnswer: 1270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b**2 - 8*b**2 + 4*b**2 + 9*b**2 to the form u*b**2 + s + f*b and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 552 (b) -0.01 (c) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -29556*z - 88756. Determine f(-3).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 120906 less than 1299198265?\nAnswer: 1299077359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**3 + p**3 - p**5)*(-3 - 4 + 2) + 2781*p**3 - 18*p**5 - 2781*p**3.\nAnswer: -13*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2)*s)**(-27\/2)*(s*s**(1\/2))**(-3\/10) assuming s is positive.\nAnswer: s**(261\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 5*f - 60925, 2*f = 139*j - 141*j + 24346. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, o: 7}. Give prob of picking 1 o and 2 d.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -202110242 + 33?\nAnswer: -202110204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 29322223?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, u: 3, m: 1, d: 1, c: 1}. Give prob of picking 1 m and 1 d.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 784031?\nAnswer: 311, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 4 + 7)*(3 + 4 - 2)*(-2*s + 0*s + 5*s) - 2*s + 5 - 5 to the form v + u*s and give u.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 300 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 17 = 4*w. Let c = -10 - -11. List the prime factors of c + w\/(-6)*2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*f**4 - f**2 - 2*f**3 + 2*f**3 - 6 + 26*f**4 + f to r*f**3 + g*f + y + w*f**2 + o*f**4 and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3328 divided by -26\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 + 7434*y - 25449*y + 16 as w + u*y and give u.\nAnswer: -18015","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -5*f**5\/2 + 185*f**4 - 715*f**3 + 1060*f**2 - 1405*f\/2 + 175 = 0.\nAnswer: 1, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -299*b + 1211*b - 304*b - 305*b - 302*b. Let n(d) = 545*d**2. Give n(w(c)).\nAnswer: 545*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24 in 2\/5, 2\/17, 3\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_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: Simplify 3*sqrt(208)*2 + sqrt(208) + 3 + (sqrt(65)\/sqrt(45) + (sqrt(13) - ((sqrt(13)*1)**2 + 0)))*-2.\nAnswer: 29 + 76*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -91*o + 1618. What is w(18)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/233 + -472\/699. Let x be ((-8)\/(-10))\/(10\/(-25)). What is the closest to 1\/3 in x, 0.4, j?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111966884?\nAnswer: 2, 37, 756533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -8*t + 3. Let b(y) = 145*y - 55. Determine 6*b(c) + 110*v(c).\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 13, c: 1, r: 1}. What is prob of sequence cro?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -95550 and -12213002042?\nAnswer: 12212906492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19979648471 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 + 2)*(-7 - 160\/(-24))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.25385 + -50?\nAnswer: -51.25385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4574 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-9)*u*u**(17\/3)\/u*(u*u**(3\/4)\/u)\/u*u*(((u**(2\/33)\/u)\/u)\/u)\/u*u)**(-2\/79) assuming u is positive.\nAnswer: u**(243\/1738)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*k + 2*i - 2, 5*i - 26 = k. Calculate the lowest common multiple of 5 and 2 - (0 - k)*-7.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 2\/11, 2, 1\/71?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -419059\/2702 + 201\/386. Let a = z - -155. What is the common denominator of -41\/5 and a?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 391664 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1000000010110110011 (base 2) to base 10\nAnswer: -263603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*d = -3*a + 57*d + 14, -4*a = 3*d - 38. Solve -96 + a = 22*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**3 + 0*w**3 - w**4 + (-2*w + w - 2*w)*(8*w**3 - 3*w**3 - 42*w**3) - 2*w**4 + 0*w + 0*w.\nAnswer: 108*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-20) - (-13)\/(260\/79776) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -657640, -1315060, -1972482, -2629906, -3287332, -3944760?\n\"Answer: -a**2 - 657417*a - 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n - 57 + 169 = -48 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fpk when three letters picked without replacement from {a: 2, p: 1, f: 1, k: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2015 by 5.\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 36604 (base 10) in base 14?\nAnswer: d4a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-10)*(-10)\/4 - (-1 - -1). Which is smaller: 2\/6997 or w?\nAnswer: 2\/6997","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 182 = -2*i. Suppose 0*y - 2*y + i = 0. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3*b + 17 = 0, 2*a + b + 9 = 3*a. Is a less than or equal to 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 132 and 194214108?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-3)*(a\/a**(5\/3))\/a)**(-49)\/((a\/(a\/(a*(a**(1\/8)*a)\/a)*a))\/(a**1*a))**40 assuming a is positive.\nAnswer: a**(-118\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*g = -50*g + 30 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-252)\/105)\/(-2 + 12\/5) + 16081.\nAnswer: 5, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggrgrrggrgx. What is prob of sequence ggrr?\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 173263?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 5*t. Let k(w) = 7*w - 3. Let i(m) = 2*m**2 - 33*m - 53. Let u be i(18). Let s(c) = -1. Let v(p) = u*k(p) - 3*s(p). Give v(d(h)).\nAnswer: 35*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-153)\/(-918) - 11915\/(-6). What is the greatest common factor of 18 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1210 = 5*k - 550. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5826426\/217 less than -26849?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aavvaaa. What is prob of picking 4 a?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 7163 - 7163 + 760*g as z*g + w and give z.\nAnswer: 760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 266 and 494?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 5*j - 2035, 2*b = -0*b - 3*j + 814. Let l = 221 + b. Suppose 6*d - l = 2*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 - -40. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -8. Let o be (-1)\/(-5) + 14\/q. Let k(y) = -y**2 + 6*y + 1. Let m be k(5). Solve 0 = -3*j + m, 0 = -o*d + 7*d + j - 18 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(117) + sqrt(117))*6*-5)**2*-1 + 4 + -2*sqrt(117) + (-2*sqrt(117) + -5)**2.\nAnswer: 54*sqrt(13) + 497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-8))\/(2\/(-8)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -51.4757 - 10\nAnswer: -61.4757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31103 - 31106. Let y = -20 + 33. Put -0.5, q, y, 4 in ascending order.\nAnswer: q, -0.5, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*m + 5*p, 0 = -4*p + 2*p. Solve -2 - m = -3*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -o + 8. Suppose -11 + 3 = -o*j. What is the second derivative of 2*s - 3*s**j + 0*s**2 + 5*s**2 wrt s?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1537 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2124425?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 13*j**2 + 22*j + 15. What is the smallest common multiple of 45 and w(-11)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -0.058, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 347 - 727. Let y = 382 + i. Which is the nearest to -1\/45? (a) y (b) 5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 15*r**2 + 15*r + 13. Let j be w(16). Which is greater: -18\/11 or j?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 less than or equal to 1119\/196?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200102112 - -11220?\nAnswer: 200121102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -58, 555, 2 in ascending order.\nAnswer: -58, -5, -2, 2, 555","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-1344)\/14)\/(-24)*2\/(-2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -415.548 minus 43?\nAnswer: -458.548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 2:51 PM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 972803, 972844, 972881, 972914, 972943, 972968?\nAnswer: 972989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -26*i**2 - 648*i - 17. Let d(c) = 3*c**2 + 81*c + 2. Let q(y) = -51*d(y) - 6*o(y). Factor q(l).\nAnswer: 3*l*(l - 81)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56791 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -7*f + 330. Let y be g(34). Solve 11*a - y + 59 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52\/156)\/(5\/3).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 4 + 4)*(x**3 - x**3 - x**3)*(31*x**2 + 26*x**2 - 67*x**2).\nAnswer: 90*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 0*t + 10 = -c, -5*t = c + 25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125*a - 411*a + 143*a + 143*a + 3*a**2.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (19\/(-12))\/(3\/(-12)). Let y = 7 - g. Factor -2\/3 - y*v**2 + 4\/3*v.\nAnswer: -2*(v - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/20)\/(612\/85 - 10).\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i + 1. Let k(l) = 3*l. Let z = -363 + 361. What is z*a(u) + k(u)?\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 873194 and 388.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o - 7. Let h be r(-6). Suppose -3*a = -2*j - 42 + 15, h*j - 4*a = -57. Are j and -10 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 165*u**2 + 108*u**2 + 79*u**2 + u + 0 - 5.\nAnswer: 22*u**2 + u - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -2. Suppose l + 2 + i = 0. Let k = 3 + -3. Which is bigger: k or l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133*b**3 - 360*b**3 - 105*b**3.\nAnswer: -598*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 9*v**2 - 39*v + 26. Determine a(4).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4 + k**3 - 5*k**2 + 3*k.\nAnswer: k*(k - 1)**2*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, o: 1, y: 1, w: 1}. What is prob of picking 1 y and 1 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1342 - -2?\nAnswer: 1344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d + 5*x + 14, 2 = 5*d + 2*x + 20 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 2*h = -568, 3*h + 4 = 1. What are the prime factors of z?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 + 977*t**3 - 402*t**3 - 368*t**3)*(-t - 4 + 4).\nAnswer: -207*t**4 + t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 19*p**3 + 10*p**2 - 21. What is the remainder when q(4) is divided by 170?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.106? (a) -0.4 (b) -2\/3 (c) 5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 174256 and -2738730756.\nAnswer: -2738556500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/(sqrt(12)\/sqrt(4)*4).\nAnswer: sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -379, -356, -341, -340, -359?\n\"Answer: -g**3 + 2*g**2 + 24*g - 404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from meeeceheemmezehm. What is prob of picking 1 z and 1 e?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 520940 - 2?\nAnswer: 520938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0975 times 0.3?\nAnswer: -0.02925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*x + 18*x = g - 1, -8*g = 3*x - 8 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 107 = 15. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o**2 + 47*o + 36. Calculate a(16).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xsmy when four letters picked without replacement from syymxxnmsszy?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59948?\nAnswer: 2, 7, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000167818 to 7 decimal places.\nAnswer: 0.0000168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 - 26. What is the nearest to -1 in w, 2\/3, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -3*s - 0*l + 21, 2 = -2*l. What is the lowest common multiple of s and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -6*p**2 + 4*p - 3. Give c(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -62, -239, -530, -935?\n\"Answer: -57*x**2 - 6*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 6*l = -1800. Is l a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -660774 = -13940*h - 1019396 - 1160838 for h.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 a factor of 38500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence db when two letters picked without replacement from {d: 7, t: 4, b: 7}.\nAnswer: 49\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 7*v**2 - 6*v + 6. Calculate k(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -401\/7 + 57. Let f = 51 - 54. Which is the closest to -0.1? (a) m (b) f (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(3\/8) + -3. Suppose -q*n + 27 = 4*w, -3*n = -4*w - 5*n + 18. Suppose -w*l = 5*x - 1 + 11, -4*l - 5*x - 15 = 0. Put -9, l, 3 in increasing order.\nAnswer: -9, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -h**5\/4 - h**4\/2 - 7*h**3\/6 - h**2\/2 + 9*h. Let p(s) = 6*s**3 + 7*s**2 + 8*s + 1. Calculate -6*p(i) - 7*x(i).\nAnswer: -i**3 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.56? (a) 1 (b) 17718\/25 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 154, -0.3, -4\/5, 0.11?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (0 + 1*sqrt(300) + sqrt(300)*1 + 3 - (3 + (sqrt(3) + (sqrt(3) - (sqrt(3) + 0)))*3 + -5)))**2*-1.\nAnswer: -867","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -8*t - 653. Determine u(-82).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/20 and (68\/56 + 6)*1\/(-3).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -10215, -40871, -91967, -163503?\n\"Answer: -10220*a**2 + 4*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 570 = -5*i, -2*j = 2*i - 3*j - 227. Suppose 62 = c - i. Let w = c + -30. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-3 + -4)) + 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 220\/(-165)*5\/(-10)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -176432, -176433, -176434, -176435, -176436?\n\"Answer: -c - 176431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 123994 divided by 2.\nAnswer: 61997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -9, 189, -60, -2, 4, -3 in descending order.\nAnswer: 189, 16, 4, -2, -3, -9, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1220123 (base 6) to base 16\nAnswer: -fd53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 z, and 1 p when three letters picked without replacement from zpbbrrrddd.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 92869850701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 15*m + 11. What are the prime factors of r(15)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-156)\/(-741))\/((-986)\/(-551))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/44816 and -61\/124.\nAnswer: 1389296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o**2 + 33*o - 81. Give s(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a meter in millimeters?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3698 is divided by 718?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -50 - 5?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 16) in base 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 - 0.06. Let g = 0.06 + m. Let z = g - -4.1. Which is the smallest value? (a) 0 (b) 1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -5*d + 6*d - 15, 0 = 3*d + f - 23. Let w be 2\/(4\/10) + -2. Let p(x) = -30*x - 238. Let u be p(-8). Put d, u, w in descending order.\nAnswer: d, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6545\/770*(-2)\/1?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20846674 is divided by 36.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3*u = -31, -5*u - 4 = 11. Let b(j) = -j**2 + 11*j + 12. What is the tens digit of b(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -104.500015146 + 104.5. What is r rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xrh when three letters picked without replacement from {x: 10, o: 1, u: 2, r: 3, t: 2, h: 1}?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 a when two letters picked without replacement from nntononnnofaopootf.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/2*4*(-2)\/(-8). Suppose q = z + 6 - 5. Let p be (-6)\/(-10) + (-18)\/(-45). Sort p, 4, z.\nAnswer: z, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + l = 2. Let r(q) = -3*q**2 - 5*q - 1. Let m = 510 - 508. Let h be ((-5)\/m)\/(((-10)\/(-4))\/(-5)). Let o(j) = -j**2 - 2*j. Calculate h*o(z) + l*r(z).\nAnswer: z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 54 = 29. Sort -2\/27, b, -2 in ascending order.\nAnswer: -2, -2\/27, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3243376 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 109*t**3 - 2*t**2 + t + 3. Let j = -8 - -11. Is d(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1429 - 1447. What is the nearest to r in 0.3, -3, -0.07?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-0.772.\nAnswer: -0.3088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 4, -16, -4, 102.\nAnswer: -16, -5, -4, 3, 4, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 151457689 to the power of 1\/2, to the nearest integer?\nAnswer: 12307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 443 = 53*n + 2087 - 690 for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 o, and 1 x when three letters picked without replacement from {s: 4, o: 3, x: 7, i: 2, a: 3}?\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 981 and 144?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 - 55 = -5*l. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 90 - 90 + 99*i to d + o*i and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 1 = -2*d, 3*d + 8 = 6*d - 2*s. Solve d = 8*y - 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - -4*2 - -1. Let o(k) = k**3 + 8*k**2 - 9*k + 2. Let z be o(-9). Suppose -t + 4 = -z*h. Solve 0*g = -g + h for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x**2 + 14*x + 9. Give u(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 9*v**2 - 11*v + 12. Let i be w(10). Solve i*h - 7*h = 20 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -2, 1700, -11.\nAnswer: -11, -2, 3, 5, 1700","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 9:54 PM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -27.95.\nAnswer: -83.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3*t - 17 = 4*t, 3*o + t - 25 = 0. Suppose 2*v - 26 = -2*h + o*v, 2*h - 2*v = 14. Calculate the greatest common divisor of 3 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -405 - 2?\nAnswer: -411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -7, -103, 5, -4 in descending order.\nAnswer: 5, 4, 1, -4, -7, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -219, -22?\nAnswer: -219","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 187347797 divided by 2058767?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 z when three letters picked without replacement from {z: 3, p: 9, m: 7}.\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51852 divided by 58.\nAnswer: -894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 170 or 157?\nAnswer: 157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*r = 4618 - 2224 for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 79140979 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 5:38 AM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -10587 + 10551 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i - 1. Let r be (5 - (-23)\/(-5))\/(2\/(-20)). Let b(k) = -3*k + 3. What is r*b(v) - 11*l(v)?\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -105847, -209913, -313991, -418087, -522207?\nAnswer: -626357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 4*n - 674 = 0, 0 = 2*q + 3*q - 2*n + 1080. Let z = q + 222. Solve 0 - 1 = -5*v - z*y, -y + 1 = 2*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 32\/25 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*g**4 + 153*g**3 - 9*g - 16390 wrt g?\nAnswer: 16*g**3 + 459*g**2 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -55 + 57. Let l(y) = 42 - 2*y**x - 81 + 39. Let u(d) = -23*d. Give l(u(j)).\nAnswer: -1058*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 6 = -2*k. Let i = k - 2. Suppose 0 = -3*u + t + 17, -i + 1 = -3*t. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 7*h**2 - 3*h + 8. Suppose 0 = -4*n + 3*n + 7. Let x be o(n). Let m = x - -14. Solve 5*r + m = 26 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 619476959 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**4 + 44*x**3 - 1260*x**2 + 7300*x - 13000.\nAnswer: 4*(x - 5)**3*(x + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 10247*u. Let p(s) = -s + 9. Determine t(p(w)).\nAnswer: -10247*w + 92223","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from ccccocccoccoccq?\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*o + 3 - 2 - 1 as f*o + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 109787111?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.0357931 years?\nAnswer: 0.000357931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*r - 51*r + 584 = 0 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 538783?\nAnswer: 7, 19, 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -202\/3 or -68?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -315 + 105 + 76 + l + 73 in the form m + g*l and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 25698 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/35 - 7\/(70\/(-24)). Suppose 2*c = -t*r + 104, 5*c = 6*r - 2*r + 215. Does 5 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 + ((-4)\/(-30) - 69207\/(-1035))\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 2, e: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 9*g**3 - 2*g**2 - 3*g - 3. Let y(v) be the first derivative of 9*v**4\/4 - 2*v**3\/3 - 2*v**2 - 4*v - 477. Determine -4*r(w) + 3*y(w).\nAnswer: -9*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 5 = -5*j - 25, 110*j + 219*g - 215*g + 141 + 485 = 186 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(132) - (sqrt(132) + sqrt(132)*1 - sqrt(132))) + sqrt(132))\/sqrt(11)*-2)\/(-2*sqrt(294) + (sqrt(6) + sqrt(6) + sqrt(54))*6 + sqrt(6))*4.\nAnswer: 32*sqrt(2)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 10:40 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-2))**41)**(-26\/7))**(-22) assuming q is positive.\nAnswer: q**(-46904\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 809806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6bf2 - 30?\nAnswer: -6c22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -7*v**4\/4 + 4*v**2 + 4*v - 6907. Let b(z) = -z**3 - z - 1. Give -4*b(l) - s(l).\nAnswer: 11*l**3 - 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**4\/11 + 142*y**3\/11 + 204*y**2 - 2312*y - 550256\/11 = 0 for y.\nAnswer: -34, -17, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i**2 + 10*i + 45. Let m be h(-8). Which is smaller: 159 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 9 = 3*y. Let s(i) = -i**2 - 2*i - 2. Let l be s(y). Let o(d) = -d**3 - 2*d**2 - d - 1. Let u be o(l). Is -4 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 68*g**2 - 2*g - 52. Let d(l) = 4*l + 65*l**2 - 101*l**2 + 52 - 3*l - 31*l**2. Let p(b) = 6*d(b) + 4*k(b). Differentiate p(x) with respect to x.\nAnswer: -260*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14742*-5.\nAnswer: 73710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 5:17 PM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 12:39 PM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 4 = 13*k - 12*k, -2*y - 12 = -4*k for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h**3 + 6*h**2 + 16*h + 6. Let w(i) = 10*i**3 + 17*i**2 + 47*i + 17. Let x(c) = 17*j(c) - 6*w(c). What is the second derivative of x(k) wrt k?\nAnswer: -54*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, u: 2, v: 3, k: 1, b: 1}. What is prob of picking 1 k, 1 u, and 1 y?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -16433003.\nAnswer: -82165015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*p + 3*h - 1 = 0, -3*h = 5*p - 7. Suppose -6 = -5*t + p*d, -3*t = -t - 5*d + 6. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137583537 divided by 21?\nAnswer: 6551597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11245 is divided by (10 + 4 + -8 + -5)*74.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 121 = -9. Let n = x + 164. List the prime factors of n.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*w**4 + 785*w**3 - w**2 - 2651*w wrt w?\nAnswer: 192*w + 4710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 394728 is divided by 56388?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 9*z**2 + 27*z + 13. Let y(p) = -4*p**2 - 13*p - 6. Determine 6*a(d) + 13*y(d).\nAnswer: 2*d**2 - 7*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 143 and 40360177?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16002 is divided by 3981.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 0)*(-20 + 18 + 9)*(-3*k + 2*k + 2*k) - k + k - k.\nAnswer: 13*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/4860 and 101\/900.\nAnswer: 24300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (26*-1 - -3)\/(-1). Suppose -3*g + 5*w = g + 16, 2*w = -2*g + 10. Let n = k + g. Is n a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26854866 divided by 27714?\nAnswer: -969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*i*k**2 + 12*i*k + 22*k**2 - 3*k wrt i.\nAnswer: -2*k**2 + 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 132 = -11*k. Let d = 40 - k. Let h = 11 - -9. What is the smallest common multiple of d and h?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(117)\/(sqrt(18)\/sqrt(2)) + 3))**2.\nAnswer: 54*sqrt(13) + 198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6314 is divided by 263?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -34 and 10561.\nAnswer: -359074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h**4 + 97\/4*h**3 + 95*h - 50 - 139\/2*h**2 + 1\/4*h**5 = 0. Calculate h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r - 7. Let t be d(4). Suppose 4*o = -0*o + 5*u + 4, 5 = 5*o + 4*u. Which is the closest to -2? (a) t (b) o (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*n - 14*n = 10*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -315 - 487 - 2396 = -174*u + 2544 for u.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 0 + 4 = 0. Let n = w + 7. What are the prime factors of -2 + n + -3 - -13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -77 + 49. Let r be (-48)\/h*7\/2. Let f(t) = t + 1. Let g(s) = -4*s - 4. Calculate r*f(n) + 2*g(n).\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-7337)\/(-230))\/(-29))\/((-2)\/(-4)).\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - q + 4*q - 5*q + 2*q + 2*q + 30 - 10*q - 30 - 4*q + q + q + (-3*q - 2*q + 7*q)*(-1 + 3 - 3) + 0*q - 3*q + q - 1 + q + 1)*(-3*q - 3*q + 2*q).\nAnswer: 56*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-5))\/(-9*(-45)\/(-6075)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 54035200 rounded to the nearest one hundred thousand?\nAnswer: 54000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 607057 and 291159.\nAnswer: 1903","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -b**5\/15 - 5*b**4\/9 - 14*b**3\/9 - 2*b**2 - 3*b + 1. Let t(k) be the first derivative of m(k). Find o, given that t(o) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -181*a*r**3 - 16*a*r**2 - 2*a*r + 436*a + 6804*r**3 - 2*r**2 - 4 wrt r.\nAnswer: -1086*a + 40824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c - 5*c + 5*c)*(-2*c**3 - 3*c + 3*c + (3 - 2*c - 3)*(-c - 3 + 3)*(6*c - 3*c - 4*c)) to b*c + f + p*c**2 + y*c**4 + s*c**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 1:41 AM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/sqrt(4)*-5)**2 + sqrt(3) + -3 + 5.\nAnswer: sqrt(3) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 11*o**2 - 8*o - 4. Calculate l(10).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*z = 2 - 18, -2*z - 34 = 3*q. Let l = -108.6 - -109. Sort l, q, -3 in decreasing order.\nAnswer: l, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7191551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-65)\/(-91) - 148542\/204666 and 58\/9.\nAnswer: 43857","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 39 + 15)*(1174 - 1174 - 58*m).\nAnswer: 870*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/((-24)\/20) + -7. Calculate the common denominator of -179\/30 and 44\/(-54)*a + (-4)\/(-6).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5321818 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 199 + -204. What is the biggest value in 2\/9, -1, t, -1\/5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 114 and 5130.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256 is divided by 85?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**2\/5 - 21032*v\/5 - 110586256\/5 = 0. Calculate v.\nAnswer: -10516","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-9)*-2*1 + 3\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q - q**3 - 3*q**2 - 2*q - 2*q**3 as l*q**3 + c*q + d + a*q**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 2448 and 504.\nAnswer: 17136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 21 - 26 - 926\/120. Let v = -11\/20 - m. Calculate the common denominator of v and 68\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80a (base 16) in base 8?\nAnswer: -4012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(833) + (sqrt(833) + 1)**2) + sqrt(833) + ((sqrt(833) + sqrt(833) + -2 + sqrt(833) - sqrt(833)) + -4 - sqrt(833))**2)*-4.\nAnswer: -23492 - 196*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, i: 6, r: 4}. What is prob of sequence jj?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((19*b + 4*b - 3*b)*(-4*b + 0*b + b) + b**2 + 2*b - 2*b)*(-b**3 - 2*b**2 + 2*b**2).\nAnswer: 59*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81979*m**2 + 40986*m**2 + 40994*m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1020 + 11120200111112?\nAnswer: 11120200112202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26.57 - -3.43. Let i = -2866.085 + 2896. Let b = i - v. Round b to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l + 2. Let w be z(-2). Let t = 2.4 - 2. Sort w, t, -4\/3.\nAnswer: w, -4\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(12)\/sqrt(4)*-5 + 5*(1 + sqrt(3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 192?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 9*h - 2*b - 3*b - 17, -5*h = -36*b - 206 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 + 16.9999953. What is p rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1 + -6*(-3 + sqrt(363)) + (sqrt(75)\/sqrt(80))\/(-2*(sqrt(15)\/sqrt(3) + sqrt(5))))**2.\nAnswer: -20083*sqrt(3)\/8 + 3443395\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 3, -2\/13, 39, 4\/3 in descending order.\nAnswer: 39, 3, 4\/3, -2\/13, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103 - 20?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2 and -2348767?\nAnswer: 2348765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*d + p, d + 6*p = p - 27. Let w = d - -28. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 4*c + 0*c)*(5*c - 5*c - 2*c)*(2 + 3 + 1).\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7283.123 milligrams to grams.\nAnswer: 7.283123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**2 - 16*b + 16. Let h be s(10). Differentiate -23*z - 57 - h + 135 - 12*z with respect to z.\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -2*j**4 - 2324108*j**3 - 675214962186*j**2 - 17554410711656*j - 114101116650248 = 0.\nAnswer: -581014, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) -1\/4 (c) 0 (d) 77\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -166917.07 times -0.4?\nAnswer: 66766.828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27477.\nAnswer: 3, 43, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -5*g - 33, 5*l + 21 = 2*l - 3*g. Let r be (2 - 0)\/(6\/15)*(-12)\/10. Which is greater: l or r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1456 and 1296?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 146 - 146. Which is the closest to v? (a) -0.06 (b) 2\/5 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -208.84 + 207. Let a = -8.16 + c. Which is smaller: 11 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27.7026 - 0.0026. Let p = 596 - 568. Let o = p - q. Which is the nearest to 0.1? (a) -3\/2 (b) 4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6509063?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -397 and 9987.\nAnswer: 9590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, x: 2, d: 3, h: 1, a: 7}. What is prob of picking 1 d and 2 r?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -47.1 * -4.\nAnswer: 188.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/83 > 62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198112.\nAnswer: 2, 41, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2277 by 1430.\nAnswer: 207\/130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, a: 1, f: 3}. What is prob of sequence fqf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 185 = -3*f - 104, -3*f - 15 = 0. Let s(l) = -l**2 + 12*l - 9. Let x be s(11). Suppose b = 5*p - a, a - 56 = p - x*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 0.01772?\nAnswer: -0.07088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.7 and 11.\nAnswer: 7.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h. Let z(c) = -7*c + 5. Let u(y) = 6*y - 4. Suppose -10 = -2*s + 4*q, 0*s - 25 = -5*s - 3*q. Let g(l) = s*u(l) + 4*z(l). Calculate g(t(r)).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**4\/5 + 629708*f**3\/5 - 49565261226*f**2\/5 - 198268601464*f\/5 - 198271120328\/5 = 0 for f.\nAnswer: -2, 157429","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -264375 divided by -125\nAnswer: 2115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -164 or -235298\/1439?\nAnswer: -235298\/1439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 0.07, 0.1, -435\/14 in descending order.\nAnswer: 0.1, 0.07, -15, -435\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1208 and 9.\nAnswer: 10872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -31*a**2 - 78*a + 21. What is b(-3)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 196*h**3 + 273168*h**2 - 78060*h + 5576.\nAnswer: 4*(h + 1394)*(7*h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.45074ng in tonnes?\nAnswer: 0.00000000000006845074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1\/6 (b) 0.7 (c) 2 (d) 3.8 (e) -1\/4 (f) -2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 11:57 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*q + 17184 = 0, i + 772*q = 768*q + 5711. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18445439 is divided by 1040.\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(8))**2*-1 - (sqrt(972)*1 - sqrt(972))\/sqrt(6).\nAnswer: -17 - 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38293.34 millennia to years.\nAnswer: 38293340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m**(2\/15)*m*m)\/m*m)**(2\/121)*(m*m**(-3))\/((m**(-3\/16)\/m)\/m*m) assuming m is positive.\nAnswer: m**(-22091\/29040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -398 - -1751. Calculate the greatest common divisor of l and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010011010 (base 2) in base 4?\nAnswer: -102122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 905524065?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(3 - 3)\/2. Solve h*k + k = -3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 28*s + 0 + 3*s to the form w + k*s and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 2524030.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m - 1. Let k(d) be the first derivative of -d**3 - 3*d**2 - 4*d + 1869. Calculate 6*a(z) - k(z).\nAnswer: 3*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2907 - -5067. Suppose 0 = -17*i + 21*i - t. Does 20 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -48\/11*m**4 - 144\/11*m**3 + 114\/11*m + 12\/11*m**2 + 30\/11*m**5 + 36\/11 = 0.\nAnswer: -1, -2\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -215, -3 in increasing order.\nAnswer: -215, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wnwuunuunnnwnunnww. Give prob of picking 3 u and 1 w.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r - 1. Let x(d) = d**3 - 6*d**2 - 5. Let s be x(6). Let o be 1*((-4)\/2 - s). Suppose -10 = -2*n - 4*z, n + o + 4 = 2*z. What is u(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 7*k + 5. Let c = 27 - 18. Suppose -c*r = -3*r + 288. Let q = -42 - r. What is z(q)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 - 6*d)*(-17 + 34 - 16).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/18)\/(90\/(-6075)*-15) + 392\/(-32).\nAnswer: -33\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -588424\nAnswer: 2353696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -71a342 + 7?\nAnswer: -71a339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 7:17 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 6. Suppose 0 = -2*q + 4*q - 60000000. Suppose a*b = -b + q. Round b to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14832 and 4635?\nAnswer: 74160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20051542 is divided by 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b + 17*b = -56. Let k be (-322)\/b + 2\/4. Solve 2*n = -5*q + n + 1, 0 = -3*n - k for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 47 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 22267337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(3 + -1)*0. Suppose 0 = g - k*f + f - 5, -2*g - 2 = -2*f. Solve 0 = 5*a - 13 - g, 2*i + 2*a = 6 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 141 + 233*l**3 - 361 + 220 - 964*l wrt l?\nAnswer: 1398*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in -5\/3, 0.02, -0.3, -0.1?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 762*n**2 + 243*n - 945. What is the remainder when x(4) is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s\/(s\/(s\/s**2))*s**(-2\/7))\/((s\/s**(1\/2))\/(((s*s**(-3)\/s)\/s)\/s)))**(-3\/34))**(2\/163) assuming s is positive.\nAnswer: s**(243\/38794)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*g**3 - 855 + 855 + 178*g**3.\nAnswer: 210*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12763930 to the power of 1\/2, to the nearest integer?\nAnswer: 3573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -18099, -36197, -54285, -72357, -90407, -108429, -126417?\n\"Answer: h**3 - h**2 - 18102*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 - 9 = -5*s + g, 3*s = 2*g + 33. Suppose s = 5*q - 11. Solve 0 = -n + q*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30957411103 plus 0.2?\nAnswer: 30957411103.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 4. Sort 0, 4, f in increasing order.\nAnswer: 0, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147*n + 5*n**2 + 148*n + 150*n - 445*n.\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of 1\/3*x**3 + 2\/5*x**2 - 7\/30*x**4 + 5*x + 0. Factor f(a).\nAnswer: -2*(a - 1)*(7*a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 p when two letters picked without replacement from {i: 4, f: 1, p: 2, j: 3}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/3, -2\/3, -3, -67\/3, -11?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + -2 + 1732\/50. Let p = a - 31221\/1400. Let r = p + -26\/7. Find the common denominator of -85\/4 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**5*s*s*s)\/s)\/s*s**(-2)*s*s)\/((((s**0\/s)\/s)\/s)\/s*s\/((s**1\/s)\/s)) assuming s is positive.\nAnswer: 1\/s","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*i + 65 = 0. Let d = -6 + i. Suppose 64 = d*n - 3*n. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -15*o - 228. What is l(-23)?\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38 and 494.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, x: 2, i: 3, b: 2, f: 4, o: 1}. Give prob of picking 1 x and 2 i.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 57*j**2 + 1057*j + 6657. Calculate y(-27).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -5*a + 16, 0 = 3*a + 5*q + 8126 - 8117 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -1\/2 (c) -11\/20 (d) 6 (e) -45 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 5 - 1. Suppose -v*g - 5*j = -3*g - 44, -g + 3*j + 28 = 0. Let t(r) = 22*r**2 - r - 1. Let m be t(2). Calculate the highest common factor of m and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 10. Suppose 0*b + 60 = w*b. Suppose 2*z = 6*z - b. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4\/3)\/(x**(-14\/9)*x))\/(x\/x**4)**(-3\/34) assuming x is positive.\nAnswer: x**(-319\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25800 and 238650?\nAnswer: 954600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 5*h + 515 = 0, -2*h = -2*i - 3*h + 197. Suppose 0 = 5*v - 3*z - 1024, -2*v + 3*z + 480 = 83. Calculate the remainder when v is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - f + 1. Let t(n) = -12*n**2 + 6*n - 6. Give -4*d(g) - t(g).\nAnswer: 8*g**2 - 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - 13 - -6) + -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-1\/8)*s)**0*s**(-12)*s**(-1\/47)*s assuming s is positive.\nAnswer: s**(-518\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaa. What is prob of picking 3 a?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 764 is divided by 762.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -7*n + 5*n. Let p be (n - 1) + 16\/(-8). Solve 2*r = -p*r + 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**2 - 91*x - 280. Let n be o(-3). Suppose 2*k = 3*p - 63773, n*p = 13*p + 4*k - 42510. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 24 = 0, 4*g + 104 - 80 = -4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3367 or -3378?\nAnswer: -3367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 312*v**4 - 23*v**2 - 16381*v?\nAnswer: 3744*v**2 - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5\/937551 - 56828716259\/10313061. Let s = v - -5506. Find the common denominator of (-9)\/(-6)*(-332)\/12 and s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-735)\/(-145) - 13) + 4\/(-58)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15469670 + -0.0428.\nAnswer: -15469670.0428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**4 + 41*c + 42*c - 2*c**3 - 3*c**2 - 85*c - 6*c**3 in the form s*c + l*c**3 + f*c**4 + y*c**2 + i and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 5*r**2 + 1400*r + 98000 = 0.\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 4) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37047, -37516, -37983, -38448, -38911, -39372, -39831?\nAnswer: -40288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8822 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 10*s**2 - 4*s - 35. Give x(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 2 + 2. Suppose 0 = o*s + 3*s - 165. Suppose -6*v + 22 = -4*v. What is the greatest common divisor of v and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43146*r**2 - 2 + 2*r - 2*r + 196386*r**2.\nAnswer: 153240*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -60\/413 and 64\/63?\nAnswer: 3717","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03672, -0.3, 15 in decreasing order.\nAnswer: 15, -0.03672, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/14 in -2, -21, 5, 800?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/95, 0.3, -6, -0.1 in ascending order.\nAnswer: -6, -0.1, -4\/95, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -563*z. Let y(f) = 688*f - 3. Determine y(r(h)).\nAnswer: -387344*h - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 3184 = d + 3391, 3*h - 6550 = -4*d. Suppose -11*i = 111 - h. Let m be i\/18*12\/7 + -3. Solve -r + m = -2*n, -5*n + 2*n = -r + 20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 7*r**2 + 8*r + 6. Let x be a(8). Let j = -8 + x. Is 10 a factor of (-150)\/(-9) + j\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + h + 1 = 0, -50*h + 52*h = 5*j - 15 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.17028286 rounded to 0 dps?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6116944420 rounded to the nearest 1000000?\nAnswer: -6117000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v + 15. Let t be u(14). Let d = -7 - t. Let i be (-6)\/9 + 34\/d. Which is the biggest value? (a) -4\/5 (b) -2\/9 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -1 - 2 - x + x**2 - x + 0*x. Let z be s(4). Solve 3*w - z = -14 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 8\/2 - 2. Suppose -5*n + 27 + g = 0. Let p(c) = -c**3 + 6*c**2 + c - 7. Let m be p(n). Let a(s) = 7*s**2 + s. What is a(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -18. Solve 5*i = -5*k - 45, 3*k + 0*k + i = -s for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-18)\/32)\/((-36)\/(-48)))\/((-4)\/(-96)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-2 - -5) - 4. Let w be (-4)\/(1*2) - (-6 - y). Suppose 3*n + 15 = -j, -4*n - 15 = -n + 4*j. Sort w, n, -14, -4 in decreasing order.\nAnswer: w, -4, n, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-10) + (13311\/45 - -4). Solve g = -2*t - 48*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, t: 2, k: 1, w: 1, q: 1, d: 1}. Give prob of picking 1 w, 1 k, and 1 q.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11076793 is divided by 3680?\nAnswer: 3673","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 408839 - 133?\nAnswer: 408706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -15*n - 385. Let c be z(-29). Calculate the highest common divisor of c and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 89 - 61. What is the highest common divisor of 56 and d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15325 + 5?\nAnswer: 15334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 6*i + 6 - 3)*(-4*i**2 + i**3 + 4*i**2).\nAnswer: -6*i**4 - 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 27) + (33810\/705 - 29)?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 230228726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 a factor of 155127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a + eff?\nAnswer: f19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 - 3*n + 1. Let d(w) = 5*w**2 + 6*w. Let p(l) = -d(l) - 6*g(l). Give p(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 4*r - 25 = 0. Solve 2*i + 0 = b - 4, r*i + 12 = 3*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -994*z**2 - 19006*z**2 + 2395*z**2 as m*z + l + s*z**2 and give s.\nAnswer: -17605","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-4))\/(91\/(-21) - -9)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.9498 seconds in milliseconds?\nAnswer: 40949.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12 - ((-4 - 4) + 10). Let w be a + -1*(-3 + 2). Let h(s) = s**3 - 10*s**2 - 12*s - 9. Determine h(w).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -1b6b?\nAnswer: 1b66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, e: 2}. What is prob of picking 4 t?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 6*v - 3*v - 10, 5*v + 3*i + 6 = 0. Suppose 4*x - 36 = f, v = 2*x + f - 12. Calculate the lowest common multiple of 406 and x.\nAnswer: 1624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165740 is divided by 303?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3927*v**2 + 22 - 9 + 4 + 2665*v**5 + 3942*v**2 wrt v?\nAnswer: 159900*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**2 + 4*y**2 - 9*y**2 + (6*y + 4*y - 14*y)*(0*y + 2*y + y).\nAnswer: -19*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, l: 1, i: 6, s: 1, z: 1}. Give prob of picking 1 s and 1 l.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**(3\/4)))**(-4\/11)*z\/(z*z*z\/((z**(4\/9)*z*z)\/z)*z)*z**(2\/29) assuming z is positive.\nAnswer: z**(-5051\/2871)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 68.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 3*q - 0*q. Let r be (3 - q) + (-2)\/8*-4. Suppose -2*f = -3*f + r. Calculate the greatest common divisor of f and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m. Let q(w) = 31*w - 7*w + 14*w. What is q(x(r))?\nAnswer: 38*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 244322 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, q: 3, d: 2, g: 1, f: 8, v: 1}. What is prob of picking 1 q and 1 p?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/43167 and 5\/48.\nAnswer: 690672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2\/7 of a week?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -248597.3757 rounded to the nearest 10000?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 8:32 PM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -71*l**5 + 151*l**4 - 104*l**2 - 4 wrt l.\nAnswer: -4260*l**2 + 3624*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-4 + 1 + sqrt(2736) + 2 + sqrt(2736) + 0 + ((sqrt(2736) - (sqrt(2736) + 4*(sqrt(2736) + sqrt(2736) + 1))) + sqrt(2736))*4)**2.\nAnswer: 10608*sqrt(19) + 1849829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 987691, 987692, 987693, 987694, 987695, 987696?\n\"Answer: b + 987690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.11 + 3.39. Let f = -3 + o. Let v = 1.27 - 0.27. Which is the closest to 0.1? (a) f (b) 5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/362090 and -3\/1991495.\nAnswer: 3982990","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/11)\/(124\/682). Put f, 4, -326 in descending order.\nAnswer: 4, f, -326","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8112, 8092, 8060, 8016, 7960, 7892?\nAnswer: 7812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 663026.\nAnswer: 2, 7, 13, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 4 = -3*t + 11, -5 = -q - t. Let x(u) be the second derivative of 0 + q*u**3 - 1\/6*u**4 + 2*u - u**2. What is the derivative of x(s) wrt s?\nAnswer: -4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3781 and 1098017524?\nAnswer: 3781","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(3*(-6)\/9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/3 - 70*l**2\/3 + 550*l\/3 - 1250\/3.\nAnswer: 2*(l - 25)*(l - 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 88*t - 2372. Let n be g(27). Solve 2*r + z = 6, 18*z = -n*r + 20*z + 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - k + k. Let z(u) = -54 + 21*u - 17 + 19*u + 71. Give b(z(j)).\nAnswer: -1600*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/6 - 1\/3*t - 1\/6*t**2 = 0. Calculate t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + 13*n - 7. Let m be q(7). Let d = 41 + -36. What is the highest common divisor of d and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-8))\/(2\/(-88)). Suppose 3*b - 74 = -d, 49 = 2*b + 5*d - z. What are the prime factors of b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(1\/3)*(q\/q**(2\/37))\/q)\/(q**(1\/7)*q**(-20)) assuming q is positive.\nAnswer: q**(16423\/777)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 819 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: Calculate the highest common divisor of 6 and 74.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 44 = -3*s + s, -12*j = -11*j. Solve 0 = s*z + 11 - 121 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6*(-21)\/49)\/((-2)\/602). Let t be (1498 + 2)*m\/(-18). Round t to the nearest 1000.\nAnswer: -65000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 717*t - 728*t + 22 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -6*b + 3*b + 76, 0 = 2*b + 3*g - 39. Suppose 5*t - b = 3. Suppose c = -2*c + t. Solve c = -n - 2 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -37 in descending order.\nAnswer: 4, 3, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 195295?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -99091, -198182, -297273, -396364?\n\"Answer: -99091*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**4 - 272*t**3 - 9248*t**2 = 0. Calculate t.\nAnswer: -68, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12890?\nAnswer: 2, 5, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1068 = -9*h + 3*h. Suppose h = 10*p - 8*p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -87087\/20 + 17419\/4. Suppose -26\/5*r**2 - 24\/5*r + i = 0. What is r?\nAnswer: -1, 1\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 90.9134 + -90.8. Let x = 0.119 - f. What is x rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6515033962 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -5*t - 10. Let g be 2 - (-3 + 4)*-4. Let l(j) = -4*j - 10. Let d(r) = g*l(r) - 5*z(r). Let f be d(13). Let v(a) = 2*a - 2. Determine v(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10197301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k - 42. Let f be q(-22). Solve 2*l = 4*v - 6, v - 3*l = f*v + 9 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -16. Let o = -637\/330 + 37\/11. Let a = -21\/10 + o. What is the closest to 0.3 in 0.4, a, y?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (390\/(-25))\/((-6)\/15). Let s = 36 - z. What is the hundreds digit of s*(-136)\/(-2)*7\/(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2126*c**4*p**3 + 18046*c**4 - 10694*c**2 - 63*c*p**2 + c*p - 2*c + 2*p**3 wrt c?\nAnswer: 51024*c*p**3 + 433104*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 1 - 2*b - 2 + 5 - 3. Let w be q(1). Let u = -5 + 3. Put u, 3, w in increasing order.\nAnswer: u, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21386467?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 2\/9, -0.5, 0.06417 in decreasing order.\nAnswer: 1, 2\/9, 0.06417, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, -2\/9, -1666, -10 in increasing order.\nAnswer: -1666, -10, -2\/9, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 0)*19 - (413 - (591 + -42)).\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2937052 divided by -5.\nAnswer: -2937052\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 917, 919, 921, 923, 925, 927?\nAnswer: 929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 254 a factor of 290172648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5027406 is divided by 3231?\nAnswer: 3201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 162 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -857 + -4?\nAnswer: -862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m + 246*x - 18 = 250*x, 35 = -5*x. Which is the nearest to m? (a) -0.5 (b) 33 (c) -13 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -78 + 2*n**4 + 78 - 27*n**2 + (118*n - 118*n + 241*n**2)*(1 - n**2 - 1) in the form y + r*n**2 + w*n + x*n**4 + s*n**3 and give x.\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9349, 9277, 9205, 9133?\nAnswer: 9061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two thirds of a day in hours?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l + 7. Let j be s(3). Suppose 14 = 8*g - 6*g - 4*k, -2*g = j*k + 2. What is the first derivative of -6 - g + 1 - 10*d**3 wrt d?\nAnswer: -30*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.5 and 0.0269528?\nAnswer: 0.5269528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 2241?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 7*i + 4. Let p be f(-7). Solve 1 = -3*g + p for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s**3 - 3*s**3 + 8*s**3 - 6*s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 110390 divided by -70?\nAnswer: -1577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 368, 14099, -1\/11?\nAnswer: 368","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -204414 (base 6) to base 2\nAnswer: -100000010111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-47 + (-8 - 5) + 8 + 6).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -11\/3*j**3 + 0*j**2 + 0 + j. Let u(k) = k**2. Give i(u(n)).\nAnswer: -22*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11.533 + -12.5328. Let h = -1 - z. Round h to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-two fifths of a tonne in kilograms?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**4 + 700233*n**3 + 40856669637*n**2 - 449508098193*n.\nAnswer: 3*n*(n - 11)*(n + 116711)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in -0.3, -2\/13, -35\/2, 4\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jfifvif. Give prob of sequence fvf.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -0*b - 3*b. Suppose -4*m = -b*m + 4. Solve 2 = m*y, 3*q + 2 = -0*y + 5*y for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11441528 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f - 2*h = 6*f - 8, 2*h - 4 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**2 - 47*g**3 + 38*g**3 + 0*g**2 + 2*g**2.\nAnswer: -9*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 5:22 AM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6666.494mm to micrometers.\nAnswer: 6666494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2771801778?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*q - 32. Calculate the remainder when 49 is divided by (q\/6)\/(8\/162).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 19.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**2 - 47*i - 22. Let r be y(24). Suppose -4*h = h - 20, r*h = -5*n + 3548. Is 63 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 72896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89, 133, 193, 275, 385?\nAnswer: 529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -8*x + 10*x. Is (-18)\/x + 6\/(-4) - -771 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) 4 (b) -0.03 (c) 0.5 (d) 1 (e) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 + s - s)*(-2*s**2 - 2*s**2 + 2*s**2 + (0 + 0 - s)*(0*s - 2*s + 4*s) + 2*s**2 + 3*s**2 - 4*s**2 + 36*s**2 - 20*s**2 + 10*s**2).\nAnswer: -23*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/20 and -75\/839216?\nAnswer: 4196080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12528?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/78151 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 3\/17 (b) 1 (c) -0.1 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 134386, 537342, 1208936, 2149168, 3358038, 4835546, 6581692?\n\"Answer: 134319*g**2 - g + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51435 divided by -17145.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 65448 and 34872?\nAnswer: 95095944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 757281*m*v + 175734*m with respect to v.\nAnswer: 757281*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 22*x - 221. Determine l(-29).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 111997 to the power of 1\/2, to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -y + 20. What is the remainder when 52 + (4 - (-3 + 0)) is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - 1. Let c(f) be the first derivative of 3*f**2\/2 + f - 47. Suppose -4*i + 9 + 5 = 5*p, 5*i - 3*p = -1. Let v(j) = i*r(j) - c(j). Factor v(z).\nAnswer: -(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p**3 - p**4 + 1 - p - p**4 + 7*p**4 - 3*p**4 in the form x + z*p**4 + q*p + t*p**3 + w*p**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -147*p**3\/2 - 1174131*p**2\/2 + 1006560*p - 431406 = 0.\nAnswer: -7989, 6\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123245610 (base 7) to base 4.\nAnswer: -131302300110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*o**4 - o**3 + 62*o**2 - 70*o + 10 wrt o?\nAnswer: 48*o**2 - 6*o + 124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -420 = 10*f - 6*f. Let o be ((-60)\/f)\/((-2)\/(-7)). Suppose -153 = o*l - 535. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48957 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: -61470202 (base 8) to base 14\nAnswer: -1a27598","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -98, -216, -380, -590?\nAnswer: -846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(8 - 0) - (-11)\/((-33)\/(-18)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30139\/30 + -3020\/3. Find the common denominator of 113\/18 and j.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + q**2 + 3*q + 2. Calculate k(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 452658 by -45.\nAnswer: -150886\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cgcgcccgccc. What is prob of sequence gcg?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 1. Let t(x) = 1. Let b(k) = g(k) - 5*t(k). Let r(m) be the first derivative of b(m). Let j(u) = -u. Give j(r(y)).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/3, 1\/35, -190.\nAnswer: -190, 1\/35, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -129 - -326. What is the remainder when j is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hchc when four letters picked without replacement from chhchzzczhz.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 3097*c - 37 = -3101*c, -17 = -h - 4*c for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -9 + -296 + 323\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 = -7*g + 118. Suppose -g = -9*f + 7. Let y(c) = c + 2. Calculate y(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1028044 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**4\/3 + 800*w**3 + 1970272*w**2\/3 + 212108800*w + 70297098496\/3 = 0. What is w?\nAnswer: -908, -292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5188*k - 2598*k - 2606*k - 650 - 662 = 0 for k.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/11 bigger than -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2870 + -2873. Let a(t) = -t. Let u(r) = 9*r - 4. Let b(x) = 2*x - 1. Let g(p) = 4*b(p) - u(p). What is c*g(k) - 6*a(k)?\nAnswer: 9*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 64 = 192. Let n be m\/24 + -2 - 4\/(-3). Solve 3*i = -5*k - n*i, -3*i = k + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.087 and -5.811?\nAnswer: 5.898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218*c = 7434 + 15238. What is the remainder when 203 is divided by c?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7862825?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -285332, -570666, -855998, -1141328, -1426656, -1711982, -1997306?\nAnswer: -2282628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/85 - (-9)\/(-816)*-5. Let w = 0 - 1. Which is greater: m or w?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -342 divided by 57\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55998 and 12078.\nAnswer: 615978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 306 a factor of 1477062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w - 55 - 30 = -29. Let u(m) = 32*m - 117. Determine u(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/429 and ((-18264)\/(-1404) - 13)*(1 - -11)?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, w: 5, n: 2}. What is prob of sequence nwn?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6120684802.\nAnswer: 2, 197, 15534733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + a - 6*a, 0 = -a + 4. Let g be ((-16)\/160)\/(4\/10). Put w, -1.8, g, -3 in ascending order.\nAnswer: w, -3, -1.8, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2028 - 2026. Solve 0 = -7*d + 12*d - a*p + 1, p = -2*d - 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 2*l**2 + 6*l - 3. Let x be u(4). Let z = x - -15. Suppose z*g - 16 = -4. Solve -4*o + g*o = -3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -27*w - 8*w + 53*w - 16*w. Let b(o) = 2*o + 10*o**2 - o**2 - 2*o. Calculate y(b(s)).\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4858 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence doa when three letters picked without replacement from {a: 5, o: 2, d: 3}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 567385 and 19140?\nAnswer: 74894820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2701*r + 164077 + 6086 = 0 for r.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59194937?\nAnswer: 19, 79, 113, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -229*q**2 + 733*q**2 - 239*q**2 + 6360*q**3 - 265*q**2.\nAnswer: 6360*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*s)*(1 + 2 + 8)*(3*s - 4*s + 2*s).\nAnswer: -22*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, y: 5}. What is prob of sequence yeyy?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 608156 to the power of 1\/2, to the nearest integer?\nAnswer: 780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3995542727.\nAnswer: 11, 23, 83, 149, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 7:50 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*z, -3*n - 2 = -4*n + 4*z. Let o = 4 + -1. Suppose -o*v - 3*d = -30, 3*v - d + 0*d = 46. Calculate the smallest common multiple of n and v.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u + 8. Give z(-11).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -49341949*j**4*t**2 + 1042*t**2 + 19344*t + 1 wrt j?\nAnswer: -197367796*j**3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 532319, 532317, 532313, 532307, 532299?\n\"Answer: -x**2 + x + 532319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 30 - 10 = 0, w + 36653 = 2*n. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 39*c - 43*c. Let y(l) = -94*l - 19. What is the hundreds digit of y(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -511, -866, -1231, -1594, -1943, -2266?\n\"Answer: 2*c**3 - 17*c**2 - 318*c - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-84)\/(-9))\/((-595)\/1530).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 394*w - 328*w + 858 = 0 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.785 - 0.085. Let n = u - -135.87. Let b = n - 135.00000146. What is b rounded to seven dps?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 72 = -0*h + 4*h, 0 = n - 3*h - 18. Calculate the remainder when 4\/18 + 4406\/n is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.8 + -3.8. Let j(u) = -u**3 + u**2 + u + 3. Let t be j(0). Which is the nearest to x? (a) -0.2 (b) t (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 99 - 101 = 0. Suppose -o = 4*k - 28. Suppose -25 - 17 = -k*n. What is the remainder when n is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6775.843 years in months?\nAnswer: 81310.116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 5*h - 8 = -3*o, -3*o + h + 2 = 0. Is o <= 7\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 936 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1690353?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -993 or -1006?\nAnswer: -993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y - 10 + 8*y + 3 + 3*y to g + c*y and give c.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -2*o. Suppose -3*h + 9 = -o. Suppose 3*d = t + 19, 0 = -h*d - 5*t + 2 - 7. Let i(s) = -s + 5. Determine i(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8310, -17107, -25904, -34701, -43498?\n\"Answer: -8797*p + 487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -611, -2, 1\/4 in descending order.\nAnswer: 1\/4, -2, -611","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - 1. Let j(y) = -11*y**2 - 31*y + 3. Let f(d) = -j(d) - 3*z(d). What is the second derivative of f(k) wrt k?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4802 and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 5*f - 7. Let w(l) = 11*l + 59. Let i(u) = -2*u - 9. Let r(d) = -19*i(d) - 3*w(d). Give -5*m(q) + 6*r(q).\nAnswer: 5*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k + 6*k - k + (6*k - 3*k - 5*k)*(-13 - 19 + 13).\nAnswer: 40*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 29. Let y = -997 + 1021. What is the least common multiple of x and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2468*m**5 - m**4*t - 2*m*t - 12*m - 41*t wrt m.\nAnswer: 49360*m**3 - 12*m**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 23 = 3*m + 38, 4*m + 4*y + 84 = 0. Let w(s) = s**3 - 7*s**2 + 7*s - 8. Suppose -4*f + 30 = f. Let l be w(f). Put -1, m, l in increasing order.\nAnswer: m, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of -v**6\/15 - v**5\/60 + v**3\/6 - 2*v**2. Let i be c(-1). Suppose -3*d - 1 - i = 0. Round d to zero dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*v - 26 + 235 = 16*u, 46 = 4*u + 2*v for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m**3 + 6*m**3 + 5*m - 12*m + 8*m + 8 in the form u*m + a*m**3 + y*m**2 + z and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 3. Let w = -0.320556 - 0.079444. Which is the nearest to p? (a) 3.9 (b) -2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - 3. Let w be ((60\/16)\/(-15))\/((-1)\/(-12)) - 13. Is (223\/4)\/(x\/w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16379.7028 to zero dps.\nAnswer: -16380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 19, 41, 71, 109, 155, 209?\nAnswer: 271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1188) + sqrt(1188)*1 - sqrt(1188)) + (sqrt(1188)*1*-2 - sqrt(1188) - sqrt(1188)))\/((3*sqrt(300) - sqrt(300)) + 1*sqrt(3)*-2).\nAnswer: -5*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 0 + 3 - 7 - 11*m. Let v be g(6). Let u be ((-4)\/(-10))\/(v\/50). Is u greater than or equal to -0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -32*n**2 + 2*n + 2. Let k(w) = -65*w**2 + 5*w + 5. Let g be (760\/(-90) - -8)*18\/4. Give g*k(h) + 5*s(h).\nAnswer: -30*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - a**2 - a + 1. Let r(h) = 21*h**3 + 7*h**2 + 7*h - 7. What is 7*b(t) + r(t)?\nAnswer: 14*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34125)\/159705 - ((-18)\/30)\/((-26)\/10).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/4033890 and -169\/212310.\nAnswer: 4033890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -4*y + 9302, 9*k - 23207 = 4*k + 2*y. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1923, 1925, 1927?\nAnswer: 1929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 725091 is divided by 362193.\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = b - 4*i, -2*b + 2*i = -4*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-24)\/(-14) + (-4)\/(-14). Let b(f) = -9 - 1 - 7 - 2 + 4*f. Let d be b(8). Solve -12 = 2*t + 5*l, -1 + d = h*t - l for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 5:27 PM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-40) - (76\/16 - -2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3240018, 3240018, 3240012, 3239994, 3239958?\n\"Answer: -x**3 + 3*x**2 - 2*x + 3240018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2 = 3*i. Find the first derivative of 3 + 0*o**2 + 0*o**2 - i - 3*o**2 wrt o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and (-153 + 0)*(-6)\/9.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -0.14.\nAnswer: 0.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-8 - 0) - (-21 + (-2 - -18) - -14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-92)\/6)\/((-7)\/4368). Let h = o - 6155. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1718806?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - l = -768 - 183, 2*l = 5*n - 1585. Let w = -2521\/8 + n. Find the common denominator of 97\/4 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 11:25 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48875668267143 - 6.\nAnswer: -48875668267149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 + -5.9. Let f be (-26)\/(-260) + (-26)\/60. Suppose -1 - 21 = -11*z. What is the third smallest value in 1\/2, f, r, z?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + a4184e2?\nAnswer: a4184e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 267 and 45.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-1)\/2*1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7057.\nAnswer: 7057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1747 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + 2*h + 0*h)*(11881 + h**2 - 11861 - 3*h**2).\nAnswer: -8*h**3 + 80*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 5) + (3 - (0 + -2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/180*84\/4)\/((-2)\/60*-3).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/28 and -139\/168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a decade in months?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*m**3*q**2 + 2*m**3 + 6*m**2*q + 4*m**2 + 44*q**2 wrt q.\nAnswer: 6*m**3 + 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2524 is divided by 447.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -9*l. Let q(d) be the third derivative of 0*d + 1\/12*d**4 + 0*d**3 + 0 + 14*d**2. Give j(q(w)).\nAnswer: -18*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 12 - 13 = 0. Let h be -4*r*(-2)\/4. Suppose -3*v = -4*b - 67, 0*b + 65 = 3*v - 2*b. Solve h*o - 4*m - v = 5*o, 3*o - 19 = -4*m for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 80 + -44. Suppose -3*s - w = w - y, s + 4*w = 2. Let p(x) = 16*x + 2. Is 13 a factor of p(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 630 + 1398 = 78*i. Solve 0 = 4*u - i + 18 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -244991*f**2 - 84558.\nAnswer: -489982*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 8*o**2 - 6*o - 4. Suppose -4*j = -5*b - 53, b + 18 = 4*j + 3*b. Let p be l(j). Solve p*x = -2*x - 15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - 3. Let x be -1*((-35)\/40 + (-6)\/48). Let k(u) = u. Determine x*j(f) - 3*k(f).\nAnswer: f**2 - 3*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.78 - -1.22. Put 0, z, 0.3, -1 in decreasing order.\nAnswer: z, 0.3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*r + 166*r - 156 = 0. What is the greatest common divisor of r and 1391?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-2) - (5 - 2). Let q(m) = m + 4. Let x be q(l). Let j = -1 - x. Sort -4, -1, j in increasing order.\nAnswer: -4, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5541519?\nAnswer: 3, 41, 45053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 5\/12, 1, -3, 3776?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 w when three letters picked without replacement from {j: 4, r: 5, w: 2, f: 3, c: 5, m: 1}.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 47665 at most 47665?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -k**5\/60 + k**3\/6 - 5*k**2\/2 + 19*k. Let h(b) be the first derivative of y(b). Calculate h(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1518367 to the nearest integer?\nAnswer: 1232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/2231 and -33\/1552.\nAnswer: 35696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-341 + 341 + 32*w)*(-5 - 2 + 4 - 1 + 0 + 0 + (0 + 5 - 4)*(-1 + 5 - 2) + 0 - 1 + 2) in the form c + k*w and give k.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -1.115, 0.404, 0.4.\nAnswer: -2, -1.115, 0.4, 0.404, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*k - 85*k**2 + 14*k.\nAnswer: -85*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -21439.938 to the nearest 1000.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -3*z + 7*z. Suppose 0 = -y + 7 - 5. Find the third derivative of -2*h**y + 4*h**3 + h**2 + z*h**2 + h**2 wrt h.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**5 + t**4 + t**3 + 1. Let q(m) = -11*m**5 - 4*m**4 - 4*m**3 - 5*m - 4. Let n(i) = -4*o(i) - q(i). Find the second derivative of n(v) wrt v.\nAnswer: 140*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4617 and 2052.\nAnswer: 18468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7099 and 1201334.\nAnswer: 37241354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 169978941 to the nearest integer?\nAnswer: 13038","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiii when four letters picked without replacement from ixixixxxixixx?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50073*q - 1 + 1 - 50072*q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1347 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5\/3, 6488, 0.61, 19?\nAnswer: 0.61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -370696 > -370713?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -4417 + 31342\/7. Let d = y - 60. Put -2, -6, d in decreasing order.\nAnswer: d, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -3 (b) 0.2 (c) 0.7 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 376 <= 1706?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 56 - 26 - 28 + 2*k**2 + 5*k**3 + 22*k**3 to z + j*k + d*k**2 + r*k**3 and give r.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 156987910 to the power of 1\/3, to the nearest integer?\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -75642 (base 8) to base 16.\nAnswer: -7ba2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 e when four letters picked without replacement from xebeebexeccesxccce.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5454726?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 31*q - 30*q. Let c(r) = 2 - q*r - 10 + 3 + 1. Give c(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 53 = 3*h, -h - 6*a + 2*a + 20 = 0. Solve h*y + 4 = 52 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -1870?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 129558 divided by -16?\nAnswer: -64779\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 4 - 2)*(-3 + 1 + 3) - 7 - 6 + 2 + (-2 + 7 - 2)*(-1 + 1 - 1))*(3*m**3 - 3*m**3 + 2*m**3).\nAnswer: -26*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -14*t**2 + 32*t - 12. Let f(z) = -28*z**2 + 64*z - 25. Let r = -1 - -5. Let n(v) = r*f(v) - 9*i(v). Factor n(k).\nAnswer: 2*(k - 2)*(7*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 41749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 8*y**2. Let t(d) = 196*d**2 + 22*d + 10. Let z(g) = 39*g**2 + 4*g + 2. Let a(p) = -2*t(p) + 11*z(p). Give j(a(x)).\nAnswer: 10952*x**4 + 1184*x**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 835 + -172. Suppose 3 = -5*h + q. Suppose 3*a = -36 + h. Calculate the greatest common divisor of 80 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of 571*t**6\/6 - 79*t**2\/2 + 472. Find the second derivative of x(j) wrt j.\nAnswer: 11420*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1 + sqrt(117) + sqrt(117) + 0 + 3 + (-5 + sqrt(117) + 0 - sqrt(117))).\nAnswer: -30*sqrt(13) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 34436\/14523?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 1, -5*y + 125 = 3*l. Calculate the remainder when l is divided by 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1062380713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of 7\/24*n**4 + 0*n**3 + 0 + 0*n - n**2. Let x(y) be the first derivative of y**2 - 8117. What is w(x(l))?\nAnswer: 14*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -124220331 (base 6) to base 10.\nAnswer: -2444383","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.7 and -0.03.\nAnswer: -0.111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -86 - -86. Suppose 5*j - 31 + 11 = s. Solve t - 9 = -2*u, 0*t + j = 4*t for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.650301 millennia in decades?\nAnswer: 765.0301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -213 (base 5) in base 10?\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1564\/9659 + 6\/743. What is the closest to 2\/5 in 4, -32, -2\/15, m?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51 - 51. Let y = 0.3 + -0.2. Which is the closest to g? (a) -0.3 (b) y (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 17*d**2 + 25*d - 6. Let p(x) = -6*x**2 - 9*x + 2. Determine 4*g(s) + 11*p(s).\nAnswer: 2*s**2 + s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1629908?\nAnswer: 2, 7, 58211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/15)\/(30\/(-75)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2. Let c(t) = 89136974*t. Determine c(n(w)).\nAnswer: 89136974*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) - (1*sqrt(135))\/sqrt(5) - sqrt(81)\/sqrt(3)*-3 - -1*sqrt(243)\/(sqrt(9) + 2*sqrt(9)))**2.\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 7. What is the third derivative of 2 + 2*b**2 + 0 - 2 - i*b**3 wrt b?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 4)*(-16 + 15). Let z be (-124)\/(-20) - 4 - p\/(-10). Determine t, given that -15*t - 4 - z*t**3 - 27\/2*t**2 = 0.\nAnswer: -4, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4*o**2 + 3*o + 1. Let w(h) = 7*h**2 + 5*h + 1. Let b = -28 - -32. Suppose 5*i - 17 = -2*d, -i + b = 2*i - 5*d. Determine i*w(a) - 5*j(a).\nAnswer: a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.27 (b) 0.2 (c) -3\/2 (d) -16 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-5 + -5*sqrt(10)\/sqrt(5) + 0)**2 - (2 + sqrt(14)\/(sqrt(14)\/sqrt(2)))*-5).\nAnswer: 110*sqrt(2) + 170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-2)\/p)**(3\/16))**(-2\/109)*(p**(2\/29)\/p**(-3\/8))**3 assuming p is positive.\nAnswer: p**(33855\/25288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-6 - (-4 + 1 + -2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z - 5*z + 3*z - 1)*(0*z - 3*z + 4*z).\nAnswer: -5*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 5*y - 20. Let j be b(8). Let u = j - 13. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -440347*s**2 + 220172*s**2 + 220219*s**2.\nAnswer: 44*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9913.299 micrometers in centimeters?\nAnswer: 0.9913299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + x - 253 = 0, 11*i - 16*i = x - 421. Let h = 76 - i. Is -13 bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3204055 (base 6) in base 13?\nAnswer: 56273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 5*h - 41, 2*h - 4 = -2*h. Is v a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*o**3 + 7640*o**2 - 900*o - 764000.\nAnswer: (o - 10)*(o + 10)*(9*o + 7640)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 5*i - 8. Suppose 5*q - 8 = 2*g - 18, 4*g = -5*q - i. Solve g = -5*y + 10*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-253)\/(-2024))\/((-12)\/170) and -43\/162.\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1821140386.\nAnswer: 2, 13, 19, 43, 85733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/8 and -131\/5616.\nAnswer: 5616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/4)\/(2\/(-12)). Suppose 7 - 7 + 5*w**4 - 5*w**t - 10*w**2 = 0. What is w?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1\/3, -1\/5, -12?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, i: 8}. What is prob of sequence ii?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 4*b**2 - 2*b - 1. Let o be q(-1). Suppose -13 = -o*i - j - 0*j, 5*i + 5 = 5*j. Solve -i*k - 20 = 2*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6309807809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 11*m**2 + 2*m. Let o be (-32)\/20 - (-18)\/30. Let k be c(o). Let s(p) = -p + 11. Let d(q) = q - 1. Let z(l) = -2*d(l) - s(l). Determine z(k).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((-3*2*sqrt(336))\/sqrt(8))\/(sqrt(486) + 1*sqrt(486) + (sqrt(96)*-2 - sqrt(96))))**2 + -3.\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1437 is divided by 617.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216*c - 26171 = -36078 - 35237. Is c at least as big as 623\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -s**3\/6 + 9*s**2\/2 + 3*s. Let n be d(4). Solve n*c + 11 = -2*t, 2*c + 0*c = -3*t - 11 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.8844 - 0.6844. What is the second smallest value in 1\/7, u, -0.1, 1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.00921 or 65\/27?\nAnswer: -0.00921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 6*s**2 + 7*s - 1. Let z be r(7). Let o = z + 5. Suppose -o*f + 1 = 5. Is f != 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*b + 112 + 96. Suppose 17*t - 12 = b*t. Solve 6*d = t*d + 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(540))\/(2*sqrt(192)).\nAnswer: -9*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 6:16 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 (base 13) in base 10?\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2252 - 341 = 21*d. Suppose -5*g = 8*g - d. Let o(v) = -v**2 - 3*v + 3. What is the lowest common multiple of o(-3) and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 15*z - 12*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3345 divide 616029212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1577 and 2241.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2 + (0 + (-3 + sqrt(175))*-6 - (5*sqrt(175)*2 - (sqrt(175)*2 - sqrt(175))*1))))**2.\nAnswer: -108000*sqrt(7) + 1431900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**(-11)))\/f**(4\/7) assuming f is positive.\nAnswer: f**(73\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106080273?\nAnswer: 3, 13, 100741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 700 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 51519691?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2c3bc (base 13) in base 11?\nAnswer: 58249","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**5\/4 + 123*k**4\/4 - 3*k**3\/4 - 123*k**2\/4 = 0. What is k?\nAnswer: -41, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -245987, -246012, -246061, -246140, -246255, -246412?\nAnswer: -246617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -270270 = 9*l - 54*l. Does 14 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33 and 47668412.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 562591.1404 to the nearest 1000.\nAnswer: 563000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-23 - 445)\/(6\/(-8)). Suppose -13*w + p = 3*w. What is the greatest common factor of 117 and w?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-260)\/25 - -11)\/(6\/20). Calculate the highest common factor of z and 410.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1280645 - -84439205.\nAnswer: 85719850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -14. Let l = -5 - w. Let i = 49 - 341\/7. What is the smallest value in i, l, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 2000133\nAnswer: 2000133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/5 - 16*a\/5 - 14\/5.\nAnswer: -2*(a + 1)*(a + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -1901 - 2*n**3 - 4*n**3 - 194*n - 46*n**2 + 1645. Let i(w) = 7*w**3 + 45*w**2 + 195*w + 256. Let v(r) = -2*i(r) - 3*y(r). Factor v(f).\nAnswer: 4*(f + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10146, 10028, 9740, 9192, 8294, 6956, 5088, 2600?\nAnswer: -598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - g**2)*(2 + 3 - 2) - 2*g**2 + 0*g + 0*g - 4*g**2 + g**2 + g**2 + (-g**2 - 1 + 1)*(2 - 5 + 2) - g**2 - 3*g**2 + 8*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -6*t**6 - 5*t**3 - 10*t**2 - 5*t. Let a(h) = 5*h**6 + 4*h**3 + 9*h**2 + 4*h. Let j(f) = 5*a(f) + 4*s(f). What is the third derivative of j(p) wrt p?\nAnswer: 120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zq when two letters picked without replacement from qqqzdzq?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/48)\/(1\/18). Solve t**k + 9 - 3*t - 9*t**2 + 2*t**3 + 0*t**3 = 0 for t.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88 and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 28532219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**3 - 5*v**2 + v - 4. Let s be h(-3). Let y(a) = -a**s + 2632 - 2632. Let j(n) = 28*n**2. Give j(y(c)).\nAnswer: 28*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -69232 and -69240 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 8*z + 10. Let s be y(-7). Solve -s*k = -12, k - 2 = o - 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*a**4 + 47*a + 3*a**3 + 20*a**4 - 24*a**4 + 5*a as v*a**4 + h*a + t*a**2 + c + k*a**3 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 321.6 - 357. Let k = d - -35. Let r = 0.1 + 0. Which is the second smallest value? (a) k (b) 2\/3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.219*-0.017.\nAnswer: 0.003723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 2\/13 (b) -9.848 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10684954573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -2\/15, -3, -11163, 1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 6 = -o, 12814*o = l + 12815*o + 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - 10*7\/(140\/(-48)). Suppose 7 = 6*f - i. Suppose 3*m = 2*t + 140, f*t = 4*m - 123 - 73. What is the highest common divisor of 11 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzucyzyzzzzcucz. Give prob of sequence uuz.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 190677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.2 - -1. Which is the nearest to i? (a) -1\/9 (b) 3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.98424l in millilitres?\nAnswer: 80984.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3762859*d**3 - 7*d**2 - 1017913*d?\nAnswer: 22577154","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 242 + 405*c**2 + 16 - 257.\nAnswer: 405*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13569211 and 40?\nAnswer: 542768440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 601*a**3\/3 - 907513*a**2\/3 + 342589555*a\/3 - 570025.\nAnswer: (a - 755)**2*(601*a - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/10)\/(s*s**(-3\/8)*s*s))\/(s**(2\/7)*s**(2\/9)*s*s) assuming s is positive.\nAnswer: s**(-12683\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44 + -42. Suppose 113 = 3*r - i*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/((-189)\/35) + (-4)\/6. Let h = -45\/424 - 1\/53. What is the biggest value in h, u, 2\/13?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**2 - 4 - r**3 - 3*r + r - 7*r**2 + 5*r. Let i be d(-6). Calculate the highest common factor of 7 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 334?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 0.3, -2\/4107, 3 in decreasing order.\nAnswer: 3, 0.3, -2\/4107, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-504)\/56 + (-1064)\/(-119).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2095 and 97627.\nAnswer: 488135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -247 = -2*q + 85. Let c = 169 - q. Let n(i) = 5*i**3. Let j be n(1). Solve j - c = u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45284167845\/1768 - 25613218. Let g = n + 4\/221. Let w = g - -11\/8. Is w at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 6) to base 12\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7\/(-84))\/(5\/(-45))*68. Solve 13*r - y = -4*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4699264129?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/11, -2\/9, -12?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 2*v**2 + 2*v - 6. Determine t(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 - -0.3. Let i = -2499 - -2498. Which is the third biggest value? (a) t (b) i (c) 3\/4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4\/2 + 5*x**3\/3 + 7*x**2\/6 - 2*x\/3 - 2\/3.\nAnswer: (x + 1)**2*(x + 2)*(3*x - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38638 - 7747 = 7*h. Let s = -789933\/179 + h. Is -1 >= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1076 = -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/63*6)\/(3\/21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1188622 and -11.\nAnswer: -1188633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2.2, -0.4, 0.1?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/12 and -41\/15106.\nAnswer: 90636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o = 9*o - 1720. List the prime factors of o\/(-8) + (-12)\/16.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4 + sqrt(2)*-3 - (sqrt(2) + 2 + (sqrt(2) + -3)**2)).\nAnswer: -10*sqrt(2) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6566 + 6567. Let n = -21.9 + -6.1. Which is smaller: u or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-225)\/825 - 54\/44)*2*-31. Solve 2*n = -3*v - 25, v + 3*n - 73 = -b for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**5*l**(2\/11)*l**3\/(l*l\/(l**(8\/3)\/l)) assuming l is positive.\nAnswer: l**(-38\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 7 + 7 - 23*v - 18 + 7. Let j = -4 + -1. Is c(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5316068 divided by 316.\nAnswer: -16823","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 183672954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*i + 31*i - 8*i + 27*i - 6*i.\nAnswer: 60*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*q + 2*q. Suppose -c + 7 = -q. Let j = -7 + c. Put j, -3, 2 in descending order.\nAnswer: j, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -6*u + 10. Calculate p(-9).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 4)*(-2*p + p - p)*(-17*p + 3*p - 13*p + (-2 - 2*p + 2)*(1 + 3 - 2) + 3*p + p - 6*p).\nAnswer: -66*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 786, -1, -0.5?\nAnswer: 786","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 100 + -102. Put 3, 6, c, -4 in descending order.\nAnswer: 6, 3, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -202.08 - -202.07991133. Round v to 6 dps.\nAnswer: -0.000089","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 9 + 6 + k**3 + 5*k + 6 + 14*k**3 - 26. Let z(c) = c**3 + c - 1. Give 2*j(s) - 10*z(s).\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of i**4\/12 - i**3 + 7*i**2\/2 + 13*i. Let y be d(4). Let h be 2 - 2 - (-15)\/((-5)\/(-1)). Put -4, h, -5, y in ascending order.\nAnswer: -5, -4, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0059? (a) 0.06 (b) -3 (c) 2 (d) -10 (e) -2 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/30 + -2)\/(6\/15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5833?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172590 is divided by 6163?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j + 46. Let g(w) = -11*w**2 - 5*w - 1. Let i(r) = -32*r**2 - 15*r - 3. Let s(z) = -6*g(z) + 2*i(z). What is s(d(y))?\nAnswer: 8*y**2 - 368*y + 4232","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16591?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 7:10 PM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, f: 1, k: 4, n: 1}. Give prob of picking 1 f, 1 z, and 1 n.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -122507 and -1456.\nAnswer: 178370192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (314\/785)\/(9\/5)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*h = 33*h - 45 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1073936261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 4*x - 18 = -q, -q - 5*x = 9. Calculate the remainder when (4 - 100\/q)*-15 is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fifty-three fifths of a hour?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5 + -3)\/((-2)\/12). Let s = z + 22. Calculate the highest common factor of 2 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + f = 0, s - 7 = -5*f + 11 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1693.09019 to the nearest 10.\nAnswer: -1690","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Convert 662743 (base 12) to base 3.\nAnswer: 10001101212020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/61711 and 30\/16899623.\nAnswer: 794282281","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -104539.1 + 1.\nAnswer: -104538.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 28. Let u = c - -65. Suppose 5*g - 16 = l - u, 2*g = 2*l - 16. Solve -w - 15 = 3*b, 2*w + 3*b = l*w - 15 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of 1\/15*t**5 + 0 - 31\/2*t**2 + 20\/3*t**3 + 32*t + 7\/6*t**4. Let l(y) be the first derivative of u(y). Solve l(x) = 0 for x.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g**3 - 11*g**3 + 3*g**3 + (0*g + 6*g - 2*g)*(-923*g + 923*g - 2*g**2) to u*g + m + x*g**2 + c*g**3 and give c.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 4*p - 147, -3*g + 2*p = -8*g - 141. Does 11 divide g\/(-2)*(-126)\/(-27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 183.6537224 and -1.\nAnswer: -183.6537224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(2\/17)*j*(j*j\/(j\/(j\/j**13)))\/j*j assuming j is positive.\nAnswer: j**(-151\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 7*u**2 + u + 9. Let h be q(7). Let m = -13 + h. Suppose -m*s - 98 + 365 = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -1. Suppose -11*w + 6*w + 20 = 0. Put -3, w, h in ascending order.\nAnswer: -3, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uqbucabaaba. What is prob of picking 2 b?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 173 = -4*g - g, -3*g + 107 = -2*h. Does 11 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 380483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000023517665 to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35942 and 2640?\nAnswer: 47443440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 - (7186 + -7188 + (-1 - 0 - (1 + 9))).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5472581 or 0?\nAnswer: -2\/5472581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -31, -95, -207, -379, -623, -951, -1375?\nAnswer: -1907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-1\/2))\/s**(-2)*s*s**(-3\/7)*s**(-1))\/(s**(2\/5)*s*s**(-3)*s*s**(3\/4)) assuming s is positive.\nAnswer: s**(269\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 546227.\nAnswer: 5462270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 667 is divided by 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 426 a factor of 1095246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1320*c**2 - 3797*c**2 + 2 - 41*c**2 - 3*c.\nAnswer: -5158*c**2 - 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1831, -5, 2, -49, -2, -4 in increasing order.\nAnswer: -49, -5, -4, -2, 2, 4, 1831","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-69*a**2 + 784 - 1575 + 790)*(-5 + 0 + 1) as q*a**2 + x*a + v and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 325 and 9400?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1265 - 65 = 15*l. Does 14 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 100 and 7932?\nAnswer: 198300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 8*i - 9. Let m be v(-6). Suppose m*y - y = 0. Solve 5*h = -y*h - 25 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/4))**(-27)\/(j*(j**(-2)*j)\/j)**(-34) assuming j is positive.\nAnswer: j**(-163\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 7*m**2 + 4*m + 3. Let o be (6\/9 + -1)*15. Does 10 divide y(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**2\/5 + 19950*b - 497503125 = 0. What is b?\nAnswer: 49875","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 718 - 705. Solve -31*j - 36 = -x*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhb when three letters picked without replacement from hhebheehretbb.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2389635, -4779273, -7168911, -9558549?\n\"Answer: -2389638*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 357893, 357903, 357915, 357929, 357945, 357963, 357983?\nAnswer: 358005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -303*g - 233*g = -94*g + 56134 for g.\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3330.51884 rounded to zero decimal places?\nAnswer: 3331","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7\/20, -3, 0.1, -5, 0.152?\nAnswer: 7\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-7)*385\/(-110).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -3*u - 17, 6*u = -f + 2*u - 10. Suppose j + 32 = f*l, -2*j - 3*j + 32 = 2*l. Let q = 54 - l. Is q a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1*2)\/(320\/2720). Let f(i) = i**2 + 20*i + 2. Determine f(k).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 0*s. Suppose -3*i + 10 = 2*i. Which is the smallest value? (a) s (b) i (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -6*m**3 - 2*m**2 - 25*m - 25. Let q be u(-1). Solve -2*f + 9*k - q*k + 5 = 0, 0 = 3*f + 2*k - 17 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-420)\/(-147) + -6 + 2)*-7.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2085?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + 7*h - 1. Let k be w(8). Let b = 17 + k. Solve 4 + b = 3*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208135129 to the power of 1\/5, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1255 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2980059, 2980060, 2980061, 2980062, 2980063?\nAnswer: 2980064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 4*i = -8, 2*i + 0 + 6 = 3*f. Suppose 3*z - p - 19 = -0*z, -3*p = 3. Suppose -5*j = -4 - z. Does j = f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-4))\/(-4 + (-18)\/(-4)). Sort 4.8, 3\/4, h.\nAnswer: h, 3\/4, 4.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.25251 and -1339.\nAnswer: -338.11089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16772 - 8789. Does 71 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a**4*z + 59*a**4 - 753*a**3*z + a**3 + 69*a**2*z + 72*a - z + 16 wrt a?\nAnswer: -48*a*z + 1416*a - 4518*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y, 1 m, and 1 o when four letters picked without replacement from ytotmoottyooooo.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 741476 is divided by 56992?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 74 - (9 - (5 - 6) - (24 - 27))\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 32*c + 63. Let h be k(30). Solve -h*q = -24 + 30 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 796139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-178)\/(-72) - 2 - (-10)\/(-45)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -23, 1\/11, 2\/3, 12, 5, 1\/58, -2\/5?\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -25 + (22 - -7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*1.267.\nAnswer: -1.267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 180796\/81 + -2232. Find the common denominator of (-4)\/(-10)*5 - (-17)\/(-3) and h.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5633.946 - -5642. Let x = -138 - -130. Let a = k + x. What is a rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2451 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-5 + sqrt(396) + 1 + sqrt(396) + sqrt(396))*-2)**2 - (-1 + sqrt(1584) + (-4 + -1 + sqrt(11))**2 + 1)*4.\nAnswer: -2312*sqrt(11) + 57136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 - 4 = -5*p. Let x(t) = t**2 - 9*t - 5. Let q = 1 + 0. What is the least common multiple of q and x(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17 and 136.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 131784710 a multiple of 1670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 - 43. Let a = 20 + j. Let u = 6.7 - a. Sort u, 1\/5, -4 in decreasing order.\nAnswer: 1\/5, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*u + 6 = -18*u. Suppose 4*i + 4 = -4*b, 0 = 2*b - u*i + 1 - 4. Solve 0 = 3*n + 15, b*r - r = -3*n - 10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*w - 163*w + 20*w.\nAnswer: -207*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f - f + 27 = -0*f - 5*f - 3*r, -20 = 5*f + r for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*g - 167*g - 249 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-12) + 16\/6. Suppose -226 + 292 = 11*x. Solve -4*s = -a - 4, 0 = -b*s - 4*a - 3 + x for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1442356 (base 9) to base 15\nAnswer: 10ab23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54649 (base 11) to base 14.\nAnswer: 20c8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 48 + -53. Let s(n) = n**3 + 4*n**2 - n + 12. Let v be s(h). Let x(m) = -117*m + 1. Is x(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(32)\/sqrt(4)*-3)**2.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 2*k - 9. Let d be 3\/21 - 447\/(-7). Let u = d - 29. Is k less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 60515.43 centuries?\nAnswer: 6051543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319.\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oofniilnihhii. Give prob of sequence ilf.\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*s**4 - 39*s**3 - 12*s**2 + 12*s.\nAnswer: -3*s*(s + 1)*(s + 2)*(5*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2664694 to the power of 1\/2, to the nearest integer?\nAnswer: 1632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3678, 3666, 3640, 3594, 3522?\n\"Answer: -w**3 - w**2 - 2*w + 3682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -77 - -233\/3. Let h be 1 - (3 - (0 + 1)). Let j be h\/(3 + -6) + 0. What is the closest to z in -2, -1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -d + 6, -12*d = -8*d - c - 10. Let r(b) = -b - 6. Let k be r(-5). Let u be (k\/1)\/(0 - 3). What is the smallest value in d, u, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -41, -3.6, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -609 or -612?\nAnswer: -612","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1724796)\/(-33) - 7\/((-462)\/(-36))?\nAnswer: 2, 3, 31, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -337 != 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -3.73 (c) 1.4 (d) -46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aulaaaaalulaaauuaa. What is prob of sequence uual?\nAnswer: 11\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 132 = -2*y. Solve -y = m + 2*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 73\/4 of a litre?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 203 = 4*a, 2*a + 47 = 3*a + 3*q. Suppose -96*f + 170 = -86*f. Calculate the remainder when a is divided by f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 194.000397 - 194. Round c to five decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 divided by -818574?\nAnswer: 59\/818574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -2240.804 to the nearest 100.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9339 - 5?\nAnswer: -933e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 310109000 to the nearest 1000000.\nAnswer: 310000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*x = -31*x + 48. Suppose x + 8 = 2*t - 5*o, 0 = -4*o - 16. Solve 2 = -t*f + 2*c, 0*c = -2*f - 3*c + 3 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -39*w - 55. Let v be o(-25). Suppose -15*d + v = -10*d. List the prime factors of d.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17.5 - -18. Let x = -0.4 + d. Let y = 224 - 229. Which is the closest to 1\/2? (a) x (b) y (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 30*w + 7 - 2*w**2 - 6)*(6 + 20 - 12).\nAnswer: -28*w**2 + 392*w + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f + 5. Let m(s) = s**2 - 4*s - 8. Let p be m(6). Let o be i(p). Let d(y) = -6 + 0 + y + 3. What is d(o)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -4*v. Let h(n) = n**3 - n**2 + 2*n + 55. List the prime factors of h(v).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (19\/(-1))\/(0 - -1). Let x(k) = k + 32. Let d be x(f). Is 10 at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m + 8. Let k be (-5 - -4)*(-11)\/(-1). Let i be x(k). Let w(g) = -g**3 - 4*g**2 - 5*g - 3. Let y be w(i). Solve 2*b = -s, 2*s = y*b + 2 + 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 5*z - 2. Let i be q(4). Suppose 0 = 4*a - i + 2. What is the remainder when a is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 115 - 115.343. Let f = 74.73 - 74.3689. Let g = q + f. What is g rounded to 3 decimal places?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1903*d + 2*r = -1916*d + 33, 4*r = 13*d + 27 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4017492 and 432?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 8:38 PM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - w + 1258, 2*d = 3*w + 678 - 42. What is the common denominator of (-2597)\/d - -7 - 0 and -58\/9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -508.3 - -478. What is n rounded to the nearest integer?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2282459?\nAnswer: 2282459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -47 (b) 0.5 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**4 - 3*z**4 + z**4 + (0*z - z - z)*(-7*z**3 + 11*z**3 - 13*z**3) in the form n*z**4 + d*z**3 + r*z + v*z**2 + i and give n.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*u + 41*u + 2349*u)*(3*u - 2*u - 3*u).\nAnswer: -4858*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*k - 4. Suppose -2*q = i - 2, -i + k*i - 3*q - 23 = 0. Suppose -2*j - i*s = -44, -3*j + 7*j = -s + 60. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 215759795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v - v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 6*x + 22 = -3*x, 2*d - 60 = -2*x. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -21 - 15. Let b = r - 5. Are 8 and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 40 + 9*h + 30*h - 5*h. List the prime factors of l(6).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -3.8325. What is o rounded to 3 decimal places?\nAnswer: -0.168","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1950 is divided by 278.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.9? (a) 3 (b) -0.02 (c) -7\/4 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-seven fifths of a century?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -793649\/37 at most -21451?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 10:56 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/12)\/((-446)\/(-223))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 5:32 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 15) to base 11\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aoaooqoaaaaoaaaaoao. What is prob of picking 1 o and 1 a?\nAnswer: 77\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/2281?\nAnswer: -2\/2281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20330223131233 - 2?\nAnswer: -20330223131301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*t + 9. Suppose o + 16 = -3*s + 4, t*o = 5*s + 37. Suppose -16 = 7*w - o*w. Which is greater: w or -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1974 = -38*i + 17*i. Calculate the remainder when 323 is divided by i.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -271*g**2 + 98*g**2 + 4*g - 7*g + 98*g**2 + 94*g**2. Let q(j) be the first derivative of j**2 - 3. What is s(q(h))?\nAnswer: 76*h**2 - 6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b**2 + 7*b + 34. Let f be x(18). Suppose -h + 2*h - 1415 = -5*u, 2*h = -4*u + f. Is u 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 4249391666.\nAnswer: 2, 13, 43, 3800887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**4\/9 - 8*h**3\/3 - 92*h**2\/9 - 40*h\/3 - 50\/9 = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 5003836.\nAnswer: -2\/1250959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 5 = t, -52 + 12 = -4*t + y. Let j(g) = -g + 2*g + 20 - t. Let z be j(-8). Solve r = -z + 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of -w**4\/12 - 2*w**3\/3 - 3*w**2. Let d be h(-4). Find the first derivative of -5 + 2 + 0*y**d + 2*y**4 wrt y.\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**4 + 3*a**4 - a**4 + 3 + 2*a**4 - 3 + (3*a**2 + a**2 - 2*a**2)*(2 - 2 + a**2).\nAnswer: 8*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12380 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 268013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/144 and -139\/162?\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t - t - 2*t + (0 - 5 + 2)*(-314 + 314 - 77*t))*(-5 - 2*t + 5)*(848 - 848 - 19*t**2) to the form a + v*t**2 + y*t**3 + x*t + k*t**4 and give k.\nAnswer: 8702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 - 2. Let y = d - -1. Solve u = -2*u - y for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 + 2*h**2 + 2*h**2 + (1 - 1 - h)*(-3*h + 3*h - h) + h**2 - h**2 + h**2)*(-12 + 10 - 1)*(4 + 1 - 3)*(1 - 2*h**2 - 1)*(2 + 2 - 6).\nAnswer: -168*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*v + 12 = -117*v + b, 2 = v - 2*b for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2584*v**3 + 3*v - 322.\nAnswer: 7752*v**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t + 6*t**2 - 4*t**2 - 3*t**2 + 2. Calculate x(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, 0.3, -1, 7553\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u**3 - 2*u**2 - 4*u - 2. Let n(d) = 5*d**3 - 4*d**2 - 7*d - 3. Give -4*n(y) + 7*t(y).\nAnswer: y**3 + 2*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -21\/2, -660, 3, -5\/6 in increasing order.\nAnswer: -660, -21\/2, -5\/6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**4\/6 - 62*b**3\/3 + 1635*b**2\/2 + 7784*b\/3 + 5270\/3 = 0. Calculate b.\nAnswer: -155, -2, -1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -48546 from -100238468.\nAnswer: -100189922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/20 and (-665)\/(-120) - (1 - -4).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(931) - sqrt(931) - (2 + sqrt(1900)))**2*1.\nAnswer: 80*sqrt(19) + 1916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/(-5) + -1 + 2\/(-5). Suppose h = -b + 10*b - 99. Calculate the remainder when 38 is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7.7? (a) -0.2 (b) -783 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -187*o**2 + 6 - 846*o**2 + 1031*o**2 - 201*o.\nAnswer: -2*o**2 - 201*o + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - 6*p - 7. Suppose -3*i + 3*n = 15, 4*i - 3*i - 4*n + 20 = 0. Suppose i*v - v - 6 = 0. Determine u(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -105, -208, -309, -408?\nAnswer: -505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 102354 - 34490. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -8*t. Let b be z(-1). Let h = b - 6. Solve -4 = -3*g + h for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pnn when three letters picked without replacement from {h: 1, g: 1, n: 2, t: 1, p: 5}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -220 < 28415?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.52 (b) -48141 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3470*g = -1291*g + 32587 + 48036 for g.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.865367um to kilometers.\nAnswer: 0.000000003865367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 z when two letters picked without replacement from rhzcrzzhzczr.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22959 + 4928 = -436*y - 17 for y.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 719 - 575. Calculate the greatest common factor of l and 396.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 23283960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -387.6 - -437.6. What is the smallest value in y, 2\/5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 610\/3 (b) 2\/3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (275*b + 64*b - 71*b)*(-4 - 1 + 3)*(-13*b**2 + 3*b**2 + 2*b**2).\nAnswer: 4288*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271281*w - 5*r + 4 = -271283*w, 0 = -w + 3*r - 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 973*q - 371*q - 369*q + 0 + 2084*q - 368*q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 72*y**2 + 48*y - 154. Let g be b(3). Suppose g*s - 26950000 = 627*s. Round s to the nearest 100000.\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -726, -717, -702, -681, -654, -621?\n\"Answer: 3*x**2 - 729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -202 (c) 4 (d) -28 (e) -1.6 (f) 27 (g) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 12*o = -40284. Suppose 67*q = 63*q + o. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*h + 14*h - 20. Let l be 4\/(-6)*3 + h. Does 12 divide (-4)\/(-6) + ((-554)\/l - -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -82*g**2 - 4*g - 24 + 2*g + 49*g**2 wrt g?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 309.44.\nAnswer: -154.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3491598 by -1.\nAnswer: 3491598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 7*h - 28. Let w = 1 - h. Let y be (-10)\/w*24\/(-32). Which is smaller: -2 or y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 3 + 17. Let j = 46 - r. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -611*v + 616*v + 23*l - 11 = 0, 5*v - 95 = 5*l for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*p*z**2 + 21*p*z + 1102*p - 24731*z**4 + z**2 - 3*z wrt z.\nAnswer: -6*p - 296772*z**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (0 + -15 - -15 - -19).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 6*i**3 + 27\/7*i + 3\/7*i**5 - 6\/7 - 48\/7*i**2 - 18\/7*i**4 = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 571 - 391. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4\/6 + 689*q**3\/3 - 4774*q**2 + 99911*q\/3 - 465451\/6.\nAnswer: -(q - 1357)*(q - 7)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5253?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.13 (b) 4 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21 + 68*v - 21 + 44*v to w*v + h and give w.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + -1 + 0)*5 + -2 + (sqrt(27) - sqrt(27)*2)\/sqrt(9))*6.\nAnswer: -42 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 47658.993 to the nearest 1000.\nAnswer: 48000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 675 and 64125?\nAnswer: 64125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104846, -419350, -943522, -1677362?\nAnswer: -2620870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-364)\/20 - -18)*95.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2. Let b(t) = -2*t**2 - 13*t + 6. Let m be b(-6). Let r(z) = m*z - 10*z + 4*z. Calculate r(l(u)).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 9\/12 - (-21)\/(-12)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15834.5 - 15834.602217. What is q rounded to 3 dps?\nAnswer: -0.102","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14278*s**2 + 14279*s**2 + 3867*s - 421*s to the form o*s + y + i*s**2 and give o.\nAnswer: 3446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/1*(-4)\/(-10). Let g = 1 - d. Suppose 36 - 161 = -2*o + 5*u, -5*o + 263 = 4*u. Calculate the greatest common factor of o and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 10. Suppose 0 = -2*q - x*q, -2 = 2*p - q. Let h(y) = -34*y + 2. What is the units digit of h(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*g**3 - 27*g**3 - 40*g**3.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2788 is divided by 186.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 9:49 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/24600 and 123\/140.\nAnswer: 172200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**3 + 30*c**2 + 18*c + 3. Let b(p) = -7*p**3 + 118*p**2 + 68*p + 11. What is -4*b(l) + 15*i(l)?\nAnswer: -2*l**3 - 22*l**2 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 3) in base 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 56272 to the power of 1\/2, to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*q**5 - 359688*q**3 + 8*q**2 + 154539*q wrt q.\nAnswer: 540*q**2 - 2158128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 687.\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 18*u**2. Let o(v) = 9*v. Give j(o(n)).\nAnswer: 1458*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*w - 31*w + 3*i - 1 = 0, 5*i + 5 = 0. Let p(a) = 2*a + 5. Let n(j) = 2*j + 4. Determine w*p(y) - 3*n(y).\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 859525118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 2*n + 22 = 0, 304 = -2*o - 4*n + 348 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1430408480 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 30?\nAnswer: 2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mma when three letters picked without replacement from mamamammamm?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -86.997 - 0.003. Let y = -87.000000106 - a. Round y to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -4 + 38 - 96\/(-12).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnmndnfm. What is prob of sequence md?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -963, -869, -775, -681, -587?\nAnswer: -493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 8098*m - 162038. Calculate c(20).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 15, 7, -11, -39, -77?\n\"Answer: -5*y**2 + 7*y + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-408)\/(-18))\/(4\/501). What is the greatest common factor of 167 and a?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*u - 45864 = 332*u - 98*u + 155*u for u.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -5*l**3 + 2*l**2 + 2*l + 2. Let v(r) = -11*r**3 + 4*r**2 + 5*r + 3. Suppose -254*h = 649 + 1637. Give h*g(k) + 4*v(k).\nAnswer: k**3 - 2*k**2 + 2*k - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 1001011000110?\nAnswer: -1001011000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -15023, -14030, -12367, -10034?\n\"Answer: 335*b**2 - 12*b - 15346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/11, 8, -1, 0.3 in decreasing order.\nAnswer: 8, 0.3, -4\/11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*j**2*x**3 + 61*j**2*x**2 - j**2 - 2*j*x**4 - 6*x**4 wrt x.\nAnswer: -30*j**2 - 48*j*x - 144*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2135176439 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/75? (a) 0.2 (b) 2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 smaller than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -9*f + 655 + 620, -4*a + f = -2493. List the prime factors of a.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + x + 12 = 0, d + x = -0*d. Let m(l) = l**3 - 5*l**2 + 4*l - 3. Calculate m(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 165108*f**2\/13 - 165110*f\/13 + 2\/13.\nAnswer: 2*(f - 1)*(82554*f - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of x**5\/45 - 7*x**4\/54 + 8*x**3\/27 - x**2\/3 + 3*x + 6. Factor u(t).\nAnswer: 2*(t - 1)**2*(2*t - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -3. Let i = 1 - s. Let c = -0.3 - 0.7. Which is bigger: c or i?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, -10, -25, -40, -55, -70?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9858 - -5?\nAnswer: -9853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -3.1. Let w = n + 0.1. Which is smaller: w or 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -4, 409 in increasing order.\nAnswer: -10, -4, 409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 105278.160037 - 105278. Let m = g - 0.16. Round m to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -202 greater than 0.16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8429*v**4 - 5389*v?\nAnswer: -101148*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48804 is divided by 1739?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 7:45 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 9 + 10 = -2*o, -2*o = m - 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50 + -83. Let z = h - -145. Is 23 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1466)\/(-32985)*(-30)\/(-8)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11933 = -319*b + 10946 - 5653. Is 3 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5600845420 to the nearest one million.\nAnswer: -5601000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 5*v - 51, -5*x + 2*v = -7*x - 30. Let l be 4 + -4*x\/8. Let d(i) = i**3 - 10*i**2 - 10. Give d(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -7*w**3 - w**2 + 3*w - 6. Let r be c(-2). Solve -8*x = 2*x + r for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + 44*y - 345. Suppose 0 = 4*k + 4*a - 3*a - 41, 0 = 2*k + 3*a - 23. Calculate p(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-1\/4)*i)\/(i*i\/(i\/((i**(-2\/37)\/i)\/i))*i))\/(i**(-2)*i*i*i**6))**(-44) assuming i is positive.\nAnswer: i**(8459\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/7)*q**0)**(-2\/171) assuming q is positive.\nAnswer: q**(4\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*q - 2*g, 92*g + 29 = 3*q + 97*g. Is -74\/115 at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6704 + 6737. Suppose 4*y = 5*j + 1, -4*y - 39 = 6*j - 3*j. Calculate the least common multiple of v and (-164)\/(-8) - 3\/y.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 + (5 + 7038 - 0) a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -257\/23 in 205, 2, 0, -1, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2 = 13. Suppose 4*c = 4*q + 52, -b*q = -5*c + 57 + 8. Suppose c + 17 = 5*m. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1184 + 1184.5. What is the smallest value in 4, t, 64, 1\/4, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-70))\/(40\/(-35))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-286)\/182 - (-2)\/7*2. What is the units digit of l\/(-4) + -727*(-1)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -327*a - 29302 = -2581*a for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 190 + 160. Let o = 0.82 + 1.18. Which is the second smallest value? (a) 2\/3 (b) u (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 137.874 to the nearest integer.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 138585077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 11:18 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212*g + 765 + 4648 = 537 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -13*h**2 - 22 + 7*h**2 + 8*h**2. Let n(u) = -2*u**2. Calculate n(f(j)).\nAnswer: -32*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35 + 27 - 94 + 397*i - 1285*i + 26 to h*i + o and give h.\nAnswer: -888","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 10 = 5*y, -53 = -3*b - 2*y. Let d be (-6)\/(-4)*b\/(-3). Do -11 and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -154372a - 0?\nAnswer: -154372a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + d = -2*d + 6, 207*l + 4*d + 6 = 203*l + 2*d for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -7. Solve -k = -5*c - 8 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**4\/9 + 4*l**3\/3 - 22*l**2\/9 + 4*l\/3 = 0.\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-29*f**3 + 103*f**2 - 103*f**2)*(-1 - 2*f + 1)*(0 - 4 + 3) as w*f**3 + n*f**4 + d*f + a*f**2 + k and give n.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 1168*s**2 - 164480*s + 19416. Determine g(1295).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 22*y**2 - 3*y + 3. Let a(t) = -23*t**2 + 2*t - 2. Let f be -1 - 4 - (-189)\/27. Give f*h(r) + 3*a(r).\nAnswer: -25*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1009\/9 in -37, -10, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*h = -74*h + 8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 74*f**5 - 2006*f**4 + 79427*f?\nAnswer: 1480*f**3 - 24072*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 234 + -150. Let q be (-128)\/28 + 2 - 4\/(-7). Let x(y) = -2*y**3 + 2*y**2 - 5*y - 5. What is the remainder when m is divided by x(q)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 i when two letters picked without replacement from {v: 4, q: 3, a: 1, z: 1, i: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 7:14 AM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/19))**(4\/11)*d**(1\/25)*d\/(d**(6\/5)\/d*d) assuming d is positive.\nAnswer: d**(-1036\/5225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -2. Suppose -2*t = 3*w + 2*w - 1, 0 = f*t + 8. Let d be (-1 - 0)*(0 + w). Sort -2, d, 3 in ascending order.\nAnswer: -2, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - g**2 - 28*g - 95. Calculate o(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -65.21 - 3.89. Let w = -69 - v. Which is the closest to w? (a) 0.4 (b) 4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10389035 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5a296 (base 15) in base 6?\nAnswer: -10054510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20296\/14 + ((-60)\/(-42))\/5.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 1:14 PM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(1*114)*-4.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -1\/2536?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 648 (base 10) to base 8.\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, b: 1, k: 1, u: 1, l: 4}. Give prob of sequence kb.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*v**2 - 6360*v + 12 + 9 + 12740*v - 6361*v - 4*v**3 wrt v?\nAnswer: -24*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 8*o**3 - 36*o**2 + 79*o - 175. Give z(5).\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w = 11259 - 33174. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0 (b) 0.2 (c) 13 (d) 1 (e) -10\/47\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, w: 14}. What is prob of sequence wwnn?\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1067240.\nAnswer: 2, 5, 26681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0582 + -0.01794?\nAnswer: 0.04026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 345 a factor of 93050230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 11:42 PM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - -27 - 21 - (-5 + 9).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 784, 4013, 11028, 23167, 41768, 68169, 103708, 149723?\n\"Answer: 223*g**3 + 555*g**2 + 3*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -26199256 to the nearest 100000.\nAnswer: -26200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/6)\/(2\/(-16)*-4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 803 + -801. Let v = -16.2 + 16.4. Which is the closest to v? (a) g (b) 6 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -172*i - 644. What is q(-5)?\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3088008 and 934164.\nAnswer: 1040658696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -4578.\nAnswer: -1\/1526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1616*t - 13840 = -102720 for t.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 + -10 - 15) + 8 + -3.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 51\/2 - (-6)\/12 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 132728, 265460, 398192, 530924, 663656, 796388?\nAnswer: 929120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8071*j**4 - j**3 + 34*j**2 - 271*j?\nAnswer: 193704*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 416677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 75, 171, 299, 459, 651?\nAnswer: 875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7 - -17) + -4 - (1 + 2). Let i(h) = -q*h**2 + 2*h + 6*h**2 + 9 + 25. Is 26 a factor of i(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 6*j = -4*x + 2943, 4*j - 2202 = -3*x. Suppose -7 - x = -5*h. Let f = 101 - h. What is f rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 20 = 3*p, -8 = 4*w + p for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d**5\/2 - 51486*d**4 - 1184423*d**3 - 2008434*d**2 + 6488685*d\/2 = 0. Calculate d.\nAnswer: -21, -3, 0, 1, 102995","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15771 + -6563. Is 13 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 l when three letters picked without replacement from clcclcc.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 49*i - 2571. Is a(93) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0 + 2)\/(-2))\/(8\/24)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 2*s**2 - 3*s - 1. Let d be g(3). Let k = 61 - 57. What is the nearest to -1\/2 in k, d, -3\/10?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*w = 106*w - 16. Let b(m) = 3*m + 16. Let h be b(-4). Suppose -u + i + 7 = 2*i, 5*u - h*i = 8. Solve -u*g - w = y + 16, -20 = g + 4*y for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -76*w**3 - w + 1. Let k be p(1). Let n = k + 92. Suppose 37*g = 551 - 33. Which is bigger: g or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 86 = -338. Let b = -61 + q. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-161)\/(-35))\/(3\/(-6))?\nAnswer: -46\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*l**5 - 194 + 194 - 2*l**4)*(-604 + 523 + 998 + 684 + 1039).\nAnswer: -36960*l**5 - 5280*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 2*w - 34 - 0, 50 = 5*o + 5*w. Is o even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3 + (sqrt(140)\/sqrt(4) + sqrt(35))\/sqrt(5)*-2 + (2*(sqrt(70)*-1 + sqrt(70)))\/(sqrt(80)\/(sqrt(8)*2))).\nAnswer: -12*sqrt(7) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 616883481.\nAnswer: 3, 68542609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 + 78 = -4*s. Let k = 78 + -73. Solve 2*o - 3*g + 6 = -s*g, -4*o - k*g = -10 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 5*r - 6. Let p(h) = -2*h. Let t(l) = -2*p(l) - s(l). Let k(v) = -v - 3. Let b(u) = -2*k(u) - t(u). Let y(d) = -77*d. Calculate y(b(w)).\nAnswer: -231*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, n: 1, f: 2}. Give prob of picking 1 n, 1 i, and 1 f.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109 + 4 - 188 - 3*j + 10.\nAnswer: -3*j - 283","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/4 of a hour?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iexssi. Give prob of sequence xi.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -288 - -288.066. Let r = u + -0.566. What is the nearest to 2\/7 in -6, 2\/21, r?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1431788, -1431756, -1431702, -1431614, -1431480?\nAnswer: -1431288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1244153?\nAnswer: 1244153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12*(-3 + 0 + 10). Suppose -5*h + 5*v + 1370 = 0, 0 = 5*h + 4*v - x - 1250. Is h a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -113e8bb?\nAnswer: 113e8bf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117611447?\nAnswer: 181, 649787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-18) + ((-164)\/24)\/(-1). Find the second derivative of 38 - 35*j + 36*j + 69*j**5 + h - 9 + j**2 wrt j.\nAnswer: 1380*j**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5*s + 1704 = 2*p, p + 5*s - 451 = 0. Suppose -20 = 5*v, 95 = 4*m + 5*v + p. Let h = m - -235. What is the highest common factor of 39 and h?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 176284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j + 27. Let t(m) = -47*m. What is t(f(i))?\nAnswer: -94*i - 1269","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**5\/7 - 52*i**4\/7 + 160*i**3\/7 - 144*i**2\/7.\nAnswer: 4*i**2*(i - 9)*(i - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1877 less than 65411990?\nAnswer: 65413867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*y + 27*y - 38 - 56*y)*(-11*y + 14*y + 14*y).\nAnswer: -17*y**2 - 646*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.8? (a) -1690 (b) -22 (c) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -98*w**5\/25 + 21*w**4\/10 + 212*w**3\/5 + 172*w**2\/5 + 48*w\/5 - 222. Solve f(i) = 0.\nAnswer: -2, -2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 314335.069569 from -6.\nAnswer: -314341.069569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -0 - 4. Let x = -145 + 153. Which is smaller: x or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21 + 14130?\nAnswer: 14201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - (-2 - 2)) + 6380 + -6375?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 4. Does 7 divide (-8 - 3)*(g + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.052*-0.42.\nAnswer: 0.02184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d + 0*d**2 + d**2 + d - 47*d**2 in the form c*d**2 + g*d + j and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*l + 0 + 0)*(-3 - 2 + 6)*(-2 + 7 + 1) in the form d*l + j and give d.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from upuuuuuluuulluu. Give prob of picking 1 p and 2 l.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13176811 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 10, j: 2}. Give prob of picking 2 p.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37083 is divided by 11997?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -2, 649?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -587 - -515. Calculate the lowest common multiple of 8 and (i\/21)\/((-10)\/70).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*c - 30*c**2 + 28*c**2 - 2*c + 7 - 11 = 0. What is c?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qo when two letters picked without replacement from cqcccoccqqqcydcqyqio.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = l + 11, v + 0*l + 21 = 5*l. Is (-7 + -1)\/(v\/(-38)) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -241?\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b\/(b*b**(-3))*b)\/(b*b**(-2\/9)))**(-14)\/(b**2\/(b**(2\/5)*b)*(b**(-6)\/b)\/b**(1\/4)) assuming b is positive.\nAnswer: b**(-11963\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14010766 is divided by 2001525.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1243767, -2487793, -3732079, -4976619, -6221407?\nAnswer: -7466437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 1418624*q + 34. What is f(0)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 - 1)*(-1 - 1 + 4)*(2 - 3 + 2)*(-533*b + 1 - 7 + 6) to the form c*b + l and give c.\nAnswer: 2132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.257 to 0 dps.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3 = 1. Let d be ((0\/(-4))\/x)\/3. Suppose d*a + 2*a - 50 = 0. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-3) + 3 + (-15)\/9. Suppose -4*w + 3*b = 5*b, 0 = 2*w - 4*b. Let i = g + w. What is the smallest common multiple of i and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((5 + -7)\/6)\/(2\/(-4)). Suppose 0 - j*b**5 + 0*b**3 - 2*b**4 + 8\/3*b**2 + 0*b = 0. What is b?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1995 + -2031 + 57 + -2?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**2. Let a(z) = -6*z**2. Let m = 404 + -394. Let o(c) = m*p(c) - 3*a(c). Let g(k) = k**2 - 3*k**2 + 0*k**2. Give o(g(y)).\nAnswer: -8*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 2 - 3*l - l + 6*l. Let k be m(-1). Suppose 9 = -4*n + k. Which is the second biggest value? (a) 1 (b) n (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1245957511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 1002210?\nAnswer: 1002201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2678 - 1988 = -2*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*6\/210*5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -503128*q - 1006255. Calculate w(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three fifths of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 582383 is divided by 145594.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j**3 - 4*j**3 - 5*j**3 + 3*j**3 - 2*j**3 - 2837505 + 2837505.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 2 = 2*j + 3*x, 0 = 2*j - 2*x - 4. Let o = j + -4. What is the least common multiple of 22 and 10 - (o + 0\/(-2))?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j - 3. Let g(t) = t. What is d(g(c))?\nAnswer: 2*c - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b\/((b*b**(-1))\/b))*(b\/b**(1\/4))\/b*(b\/((b**(-1\/3)*b)\/b))**41)\/(b**(1\/6)\/(b*b**5*b)*b\/b**(-1\/2)*b**1\/b) assuming b is positive.\nAnswer: b**(231\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((1 + sqrt(176) - sqrt(176))**2 - 6*(sqrt(11) + -1)).\nAnswer: -6*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -196*a + 1185. Let q be z(6). Let h(c) = -11*c**3 - 9*c**2 + 9*c. Let f(b) = -5*b**3 - 4*b**2 + 4*b. Determine q*f(n) - 4*h(n).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -4*h**2. Let b(r) be the first derivative of -1\/6*r**3 - 3*r + 2 + 0*r**2. Let y(a) be the first derivative of b(a). What is y(d(w))?\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**2\/9 - 109216*s\/9 + 2982033664\/9 = 0 for s.\nAnswer: 54608","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*5*(-2)\/(14\/7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p - 6. Let j be d(-4). Suppose 5*h + 2 + 21 = y, -92 = -5*y + j*h. Calculate the highest common divisor of 126 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.5 + -10.9907271.\nAnswer: -12.4907271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 177\/21 + -8 + 50\/14. Let y(c) = -7*c + 3. Determine y(i).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + t - 117222 = 0, -2584*o = -2583*o - t - 58599. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 4. Let b = -6 + 5.9. What is the nearest to j in -3\/4, b, -1\/3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 918 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002450511399 rounded to seven dps?\nAnswer: -0.0024505","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2 - 2. Calculate z(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*p**2 - 24 + 24 + (5*p + 0*p - 4*p)*(-19*p - 3215 + 3215))*(-p + 3*p + 0*p) as b + u*p + z*p**2 + m*p**3 and give m.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*p - 66 - 7569*p**2 + 7571*p**2 + 117 + 139 to the form i*p**2 + a*p + t and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 218.711*-1\nAnswer: -218.711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lh when two letters picked without replacement from jlmhloy.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 159\/212 + (774\/(-36) - -18)?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/14? (a) -1 (b) 5 (c) -3 (d) -5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/25, 2, 8, 529.\nAnswer: -1, 2\/25, 2, 8, 529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -6*c**2 + 2*c + 2. Let r be t(-2). Let s = -51 - r. Let m be (-8)\/30 + 10\/s. Which is bigger: -0.2 or m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.1 and 0.049?\nAnswer: 0.1519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 6*o - 5. Let c be r(-6). Let y = c + 8. Suppose y*k = 6 + 15. Calculate the remainder when 20 is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + 21*t + 2. Let s be z(21). What are the prime factors of (-6)\/s + 338 + 2?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -321123033?\nAnswer: -321123101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(44\/10)*28\/(-14).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63 and 35?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 307761*o*z**2 - 265098*o - 550*z**2 + 264*z wrt z?\nAnswer: 615522*o - 1100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, w: 9}. What is prob of picking 2 w?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3403 (base 11) to base 9.\nAnswer: -6127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18348 and -0.02.\nAnswer: 366.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1066149083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -8. Let f be 1*(1 - (-2 - 0)). Solve t = m - f for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -3*o**5\/7 + 18*o**4 + 33*o**3\/7 - 1332*o**2\/7 - 2244*o\/7 - 144 = 0.\nAnswer: -2, -1, 4, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5864 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -177*r + 2558 + 451 for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -315*t + 206 = -811 - 243 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3302, -6603, -9904?\nAnswer: -13205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 5*d + 2. Let u(c) = 3*c + 39. Let f(t) = -5*t - 96. Let a(m) = 2*f(m) + 5*u(m). Give -4*a(p) + 5*o(p).\nAnswer: 5*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) -4 (c) 4 (d) -186 (e) 329\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 5*v = 0, 3*v - 14 = 4*o - 0*v. Let g(l) = -214*l + 108*l + 103*l. What is g(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 43*z - 491. Let s(p) = -77*p + 990. Calculate -7*o(k) - 4*s(k).\nAnswer: 7*k - 523","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6 + (28\/2)\/(23\/69). Calculate the highest common factor of v and 414.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -326*x - 243*x - 321*x + 891*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 16 = 408. Let r = -217\/2 + q. Do r and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 6:21 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7082903, 14165802, 21248695, 28331576, 35414439, 42497278?\n\"Answer: -n**3 + 3*n**2 + 7082897*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -59369 - -11755031\/198. Let g = -1\/99 + i. Let n = 46\/35 - 12\/7. What is the second biggest value in n, g, 1\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 66 - 2*l**2 - l**3 - 37 - 32 + 0*l**2. Determine u(-4).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 7*t**2 - 1290*t - 10389. Give x(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r**2 + 96507*r + 7*r**2 - 5*r**2 - 96507*r.\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2225*b**2 - 71213*b + 387. Give f(32).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(9\/3) + 0. Suppose k = 5*c - 15. Let o = 2 - c. Which is greater: o or -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1602 is divided by 102?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12 + 440\/(-22) - (-3091 + -1). What is the greatest common divisor of u and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1324461226 to the nearest integer?\nAnswer: 1098","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -71665*b*n**4 + 6*b*n**3 + 20*b*n**2 - b*n - 243*b - 11*n**2 wrt n?\nAnswer: -1719960*b*n + 36*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*f - 561*q + 273 = 16*f - 306, 5*q + 1 = 2*f + 18 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, j: 3}. Give prob of sequence jb.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 24\/(-9) - (-2)\/(-6). Let t be (36\/30)\/(j\/(-10)). Let w be 4 + (t - 3\/1). Sort 3, -3, w in ascending order.\nAnswer: -3, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*1\/3 - 2\/(-6). Let x = -1 + j. Is 8 - 7 - 786\/x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100102000 - 2?\nAnswer: 100101221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -855 + 857. What is the fourth smallest value in -0.7, 1, -4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 - -26. Put i, -2, 1 in increasing order.\nAnswer: -2, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 76614, 75432, 74250?\n\"Answer: -1182*m + 77796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 9. Suppose y - 5 = -0*y - 2*k, -11 = -l*y + 4*k. Solve -y*g + 14 = -1 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 569675798?\nAnswer: 2, 59, 293, 16477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.232, -18.8, 16 in increasing order.\nAnswer: -18.8, -0.232, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*n + 1353 = 58*n + 289 - 2824 for n.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 + 0 = -3*l, -413*u + 5*l - 3 + 19 = -409*u + 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 249 - 244. Suppose -107 = -c*n + x, -n + x = 24 - 43. What is the highest common factor of 1 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3 + 110*t**2 - 235*t - 950.\nAnswer: -5*(t - 19)*(t - 5)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6761964805\/2902 + -2330105. Calculate the common denominator of i and 51\/4.\nAnswer: 5804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46 + 52. Let f be (15 - 5)\/((-2)\/(-12)). Find the common denominator of 65\/16 and a\/(-56)*(-315)\/f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 - 29. Find the first derivative of f + k**2 - 8 + 9 + 8*k**2 wrt k.\nAnswer: 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2100)*2 - sqrt(21))\/(sqrt(18)\/(sqrt(30)\/sqrt(5))).\nAnswer: 19*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 - (1 - -2))\/((-2)\/(-1402)). Let f = -26 + u. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.128075 + -1.8719. Let i = 10 - 8. Let x = s + i. What is x rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1233 (base 6) to base 8\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/((-4)\/(-2))*1. Is 3*12\/(o\/(-1)) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 17*u**2 + 18*u + 6. Suppose -22 = 11*d - 66. Suppose d*c - 5*c - b + 13 = 0, 4*c = 3*b + 73. Is 5 a factor of k(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 1) + -2 + (11 - 22).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g**3 - 312 - 321 + 633.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uoo when three letters picked without replacement from uoo?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -13. Let v = 0.511 + -0.742. Let j = v - -5.231. Put f, j, -12 in descending order.\nAnswer: j, f, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0)**(-6\/5)*p**(1\/8)\/(p*p*p*p**(-4)*p*p*p*p*p*p)*((p**2\/p)\/p**1)\/(p**(1\/5)\/(p**(-6)\/p)) assuming p is positive.\nAnswer: p**(-483\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n**2. Let z(s) be the third derivative of 0 + 0*s + 0*s**4 - 3*s**2 - 1\/20*s**5 + 0*s**3. What is h(z(b))?\nAnswer: 27*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {l: 1, z: 14}?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 39541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -7*o + 440. What is d(9)?\nAnswer: 377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -12. What is the third biggest value in 1\/4, p, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 380495083?\nAnswer: 19, 1054003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 149651 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*f + 5*g, -5*g + 1 = -3*f - 24. Solve 5*p + 4*z + 7 = 0, p + f = -4*z + 5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 divided by -1204?\nAnswer: 3\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 59.749008 - 48.\nAnswer: 11.749008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from nllllnnllnl?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -0.82268.\nAnswer: 4.1134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*i = -0 + 3, 5*j - 13 = i. Solve -5*k - 10 = -2*q + 3*q, -j*q = 3*k + 18 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43.84 - -44. Let c = -0.14 - k. Is c at least 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 9*v**2 - 3*v - 3. Let x be b(-1). Suppose x*h = -6*h + 60. Solve -h*f - 2*f - 24 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, f: 2, t: 1, q: 9}. What is prob of sequence afqa?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1420.236 rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.154 + 4.846. Which is the nearest to 0.1? (a) 72 (b) w (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 c when three letters picked without replacement from {q: 3, a: 3, c: 1, f: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - (6 + 2) - (-9756)\/(-4 + 3). Is -9763 at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5029*n**4 + 1127 + 3159 - 1082 - 1152*n**4 wrt n.\nAnswer: 15508*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3410309 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 16*t. Let m(f) = -993895*f. What is z(m(c))?\nAnswer: -15902320*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6\/397 + -16241\/2382. Let d be 20\/(-41672)*1\/5. Let j = d - -242222\/36463. Find the common denominator of m and j.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 65*k - 9810. Give u(151).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 225 = 133. List the prime factors of q.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l - 7 - 8 + 1. Let r be v(-9). Is (((-8)\/r)\/(-2))\/(5\/(-500)) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a meter in micrometers?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -101.49 or -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 2\/959029?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2044, 2515, 2986, 3457?\n\"Answer: 471*h + 1573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, j: 3, f: 2, v: 3}. What is prob of sequence vfv?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 213*d - 226 wrt d.\nAnswer: 213","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i - 8. Let q be n(-10). Find the third derivative of 5*b**6 - b**2 - b**6 + 7*b**q wrt b.\nAnswer: 480*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1448, -1444, -1440, -1436?\nAnswer: -1432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000594155 rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 215 and 235 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65942*o + 197932*o - 65940*o - 66049*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.64 and -85?\nAnswer: 54.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -162833 divided by -87\nAnswer: 162833\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 4*m = -0*l - 112, -4*l + 83 = -m. Factor -l*w**2 - 74*w**4 - 40*w**3 + 2*w**5 - 7*w**5 + 49*w**4.\nAnswer: -5*w**2*(w + 1)*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -18, -8, 5, -1 in descending order.\nAnswer: 5, 1, -1, -8, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*u + 2*u + 0*u)*(-75*u + 2*u - 7*u) to the form h*u + k + c*u**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and 2622640.\nAnswer: -18358480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-24)\/(-45))\/((-1)\/(-3)))\/((-611)\/24440)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23677\/11 - 2153. What is the nearest to 0.1 in 0, a, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x + 12. Suppose -11 - 39 = -5*t. Let m be k(t). Solve 22 = -5*l + o, -2*l = 3*l - m*o + 19 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s**2\/5 - 178*s - 12516\/5 = 0. What is s?\nAnswer: -298\/7, -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 25811604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 459?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 130 (base 5) to base 10\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31\/12 + 7\/3. What is the nearest to 2 in h, 0.2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 55*u**3 - 55*u**3 - 8*u + 3*u**5 wrt u?\nAnswer: 60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/96)\/((44\/4)\/1936).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.3, 2\/7, 5, 18714, 6\/19?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -256.562 - -1.562. Which is the second smallest value? (a) 0 (b) 1\/8 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 1. Let p = k - 5. Let u be p + ((-9)\/4)\/(-1). What is the third biggest value in u, -2, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 10, -28078, -5?\nAnswer: -28078","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -53 + 3 + 53 + 20.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + c + 16. Suppose -18 = -c*w + 2*w. Let t = -6 + w. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.11 and 8.\nAnswer: -0.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -65 (base 9) to base 6\nAnswer: -135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**5 - 2*c**5 + 2*c**5)*(25 + 15 + 87).\nAnswer: -127*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -27057*h**2*j**2 + 10634*j**2 wrt h?\nAnswer: -54114*h*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -148396, -297045, -445706, -594385, -743088, -891821, -1040590, -1189401?\n\"Answer: -y**3 - 148642*y + 247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1730858 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27605727?\nAnswer: 3, 19, 23, 7019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 6639.95\nAnswer: 1991.985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18278865 and 163350?\nAnswer: 182788650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + 1 - (0 + 8). Let v(g) = g**3 + 9*g**2 - 6*g - 13. What is the remainder when v(x) is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -26*y**2 + 56*y - 289. Calculate m(6).\nAnswer: -889","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2853 is divided by 288.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h + 37 = -106. Solve -2*z = -3*n + 6, -10*z - h = -9*z - 4*n for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 519*u**3 + 250*u**3 - 770*u**3 - 1.\nAnswer: -u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34350 - 22184. List the prime factors of i.\nAnswer: 2, 7, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -25*k**2 + 7*k - 3. What is j(1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dqd when three letters picked without replacement from llldgddlgglqldllll.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 4*j + 3. Let y be z(-3). Suppose -64 = -y*n - 4*n. Let x = n - 6. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 911513591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 13 + 7. Let h = 6 + p. Suppose z + 1 = h. Sort 0, -5, z in ascending order.\nAnswer: -5, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 20 = 5. Is v a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12802864 and 3980.\nAnswer: 796","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.5226541kg?\nAnswer: 0.0005226541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -207 + 175. Solve -5*b - 47 = -q for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-26)\/117*9\/(-2). Suppose -z + 3*c - 17 = 0, 3*z + a = -3*c - 2. Let i(v) = -4*v**3 - 5*v**2 - 9*v - 1. Is i(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - -3. Suppose 3*d - 56 = -j - 0, 3*d + 4*j - 44 = 0. What is the least common multiple of d and b?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 346148 to the nearest integer?\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3778, -5583, -8590, -12799?\n\"Answer: -601*z**2 - 2*z - 3175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19405 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a century in months?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(8\/5)\/((f\/f**(-1\/20))\/f) assuming f is positive.\nAnswer: f**(31\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2201991 to the power of 1\/3, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41492 and 2132.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.202486 to zero decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l + 4*t = 2*l - 37, -3*t = 9 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4528 - 14723 = -27*y. Let c = 4404 - y. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmymyymymmm. Give prob of picking 3 y.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l. Let g(n) = -4*n - 1. Let h(j) = g(j) + 5*q(j). Let a = -18 - -43. Suppose 0*c - 5*c - a = 0. Give h(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, x: 1, u: 7, a: 2}. What is prob of sequence ua?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 47013 = 4*w - 16476, w - 15867 = -4*l. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (27\/(-15))\/((-6)\/10)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 179347235, 358694473, 538041713, 717388955?\nAnswer: 896736199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of 1\/42*j**5 + 0*j + 1\/42*j**4 - 4*j**2 + 1\/735*j**7 + 0*j**3 + 1\/105*j**6 + 0. Factor w(h).\nAnswer: 2*h*(h + 1)**2*(h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/4, 3\/5, -2\/11, 138.32.\nAnswer: -2\/11, 3\/5, 5\/4, 138.32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 1, 55 in increasing order.\nAnswer: 0, 1, 3, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 7.841, -0.19, 0.2 in decreasing order.\nAnswer: 7.841, 0.2, -0.19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -561033.634002048 + 561034. Let s = h - 0.366. Round s to 7 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 381493961?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 98539137?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2763142 and 776?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 12*v**2 + 538*v - 74. Determine h(-45).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 + 7. Let p(a) = -a**2 - 13*a + 13. Let o be p(z). Put 2, -3, o in decreasing order.\nAnswer: 2, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2569 is divided by 66.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -7*a**6\/15 - a**4\/2 + 6*a. What is the third derivative of b(z) wrt z?\nAnswer: -336*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 5*q - 12949 + 3493, -z + 2347 = -3*q. Let u = z + -1664. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -261 + 266. Suppose 0 = -0*g + 3*g + 4*a - 167, -2*g = -d*a - 119. Is 19 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8836 times -2.86?\nAnswer: -2.527096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.072 + 0.442. Let f = u + 0.03. What is the closest to -1\/4 in -2\/5, -3, f?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2 = 4*d - 0, 2*d + 12 = 2*l. Calculate the greatest common divisor of l and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h - 4*h + 3*b + 15 = 0, b = -4*h - 17 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 7*i. Let x(v) = 4*v**2 - 5*v. Let a(j) = -j**2 + j. Let k(h) = -5*a(h) - x(h). What is q(k(z))?\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15188946\/5 or 3037790?\nAnswer: 15188946\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.061 * -30781.81\nAnswer: -1877.69041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 18*b**2 - 15*b + 23. Calculate g(-17).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36447 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 7 + 2*l - 2*l**3 + 2*l**4 + 5 to the form c*l**3 + d*l + r + a*l**2 + h*l**4 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of w**8\/168 - 61*w**7\/21 + w**5\/2 - w**4\/24 - w**3\/6 + 7*w**2 + 2*w + 6. What is the third derivative of o(g) wrt g?\nAnswer: 120*g**2 - 14640*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 25, 36, 5, 54, -5 in ascending order.\nAnswer: -19, -5, 5, 25, 36, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1423221 - -2?\nAnswer: -1423214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4035, 10, -2\/19, 0.1, 232?\nAnswer: 232","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 508604855 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t - 18. Suppose -2*g + 0*g = 6. Let n be (-3 - -3)*g\/(-6). Let m be f(n). Is m <= -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1571076181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/6 - 1746\/(-54). Let j = g + -27. Let l(s) = -s**2 + 6*s - 1. Determine l(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -2*g - 36, -4*g - 127 = -0*g - 3*p. What is the remainder when 1 - (-14)\/(g\/(-102)) is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 - 14*g + 51. Let f be t(-17). Suppose 16*y - 4*y - 60 = f. Solve 20 - 5 = y*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**3 - 48*z + 48*z)*(-63*z + 30*z - 2 + 34*z).\nAnswer: -3*z**4 + 6*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(25\/(-30)) - 7. Let u = -6 - -10. Sort 5, u, 1\/5, j in descending order.\nAnswer: 5, u, 1\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27b (base 13) to base 5.\nAnswer: 3230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -5, 1, 27\/1109?\nAnswer: 27\/1109","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(147) - ((sqrt(147) - (-2 + sqrt(147))) + -3))**2.\nAnswer: 84*sqrt(3) + 888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -0*a - 4*a. Suppose 3*l = a - 4. Suppose l*p = 4*g + 12, -6*p = 4*g - p + 12. Put g, 19, -1 in increasing order.\nAnswer: g, -1, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0269289 to 3 dps.\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 45*c**2 - 28*c - 172. What are the prime factors of a(-10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 36\/15 - 4\/10. Suppose -681 = -m*y + y. Let t = y - 301. What is t rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/64*-4*6?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -66*y + 2. Calculate c(-1).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*x - 4*x - x**3)*(-x + 2*x - 2*x) - 37 - 3*x**4 + 37)*(0*x + x + 0*x).\nAnswer: -2*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90235*-0.626.\nAnswer: -56487.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 15*b**2 - 335*b - 2010. Let c(l) = -23*l**2 + 501*l + 3016. Let f(z) = 5*c(z) + 8*r(z). Factor f(k).\nAnswer: 5*(k - 40)*(k + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.5, 5, -23.\nAnswer: -23, 0.5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2500*i**4 - i**3 - 9*i**2 - 911742 wrt i?\nAnswer: -10000*i**3 - 3*i**2 - 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*t - 12 = 0. Solve -2*f = -2*u + 8, 2*f + 8 = 2*u - t*u for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 7*y**3\/3 + 10. Let p(c) = -6*c**2. What is p(v(d))?\nAnswer: -294*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 7 - -2 - (47 + -23 - 18)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(4\/3)*n)**(-2\/9)*n**(5\/3)*n*n**1 assuming n is positive.\nAnswer: n**(85\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 7133*-0.0588\nAnswer: -419.4204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13783ba3 + 1?\nAnswer: 13783ba4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sl when two letters picked without replacement from {v: 2, l: 6, s: 5}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*l**3 - 372 + 459 + 202*l**3.\nAnswer: 227*l**3 + 87","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24135258 divided by -1379.\nAnswer: 17502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/(4 - (-5)\/(-2)). Let j(z) = 8*z**2 - 18*z + 4 + x*z + 9*z + 0*z. What are the prime factors of j(2)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4983*c - 5104*c = -10183*c + 8352 for c.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of a**4\/6 - 4*a**3\/3 + 4*a**2 + a - 27. Solve h(m) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -16*s + 6*s + 18 + 2*s**2 + 0*s - 4*s. List the prime factors of b(13).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/9 + (-370)\/(-15) + -2. Suppose 9731 = u*i - 178165. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + c - 1. Let g be s(1). Let j = 3 + g. Suppose l = -j*l + 6. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/6 - 0)\/(400\/120). Let v(p) = -p**3 - 7*p**2. Let o be v(-7). Suppose o = 2*g - 2 - 0. What is the closest to g in n, 2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -135 - -137. Calculate the common denominator of 3 - (-177)\/(-15) - 1\/f and 1 + (2\/(-15))\/((-24)\/2910).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2820 and -2820 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2787 - 47377\/17. What is the second biggest value in q, -4, 3, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131794771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 0 - 3*m**2 + 3 + 0 - 2*m**2 + 4*m. Let j be h(4). Solve -7 = -j*k + 5 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 44*p**2 - 358*p - 5. Calculate l(18).\nAnswer: 1975","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cesbqjb. What is prob of sequence je?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -14395, 6, 4, 0, 5, -1 in descending order.\nAnswer: 6, 5, 4, 0, -1, -14395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of n**7\/3780 - 5*n**4\/12 + 3*n. Let g(a) be the third derivative of r(a). Solve g(t) = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1323feb + 3?\nAnswer: 1323fee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + y = 11, 3*y + 3 = -0. Let b = 5 + q. Suppose -b*x + 3190 = w, 2738 + 482 = w - 4*x. What is w rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/8, -1, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-36) - (-16)\/9. Find the second derivative of d - d**j + d**3 + d**2 + 0*d**3 wrt d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*s**4*t**3 - 33*s**3*t**3 + 2*s**3 - 1200*s**2*t**3 wrt s?\nAnswer: 240*s*t**3 - 198*t**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3 + 40*w**2 + 45*w.\nAnswer: -5*w*(w - 9)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3999 + -3997.3076. Let l = b + -1.7. What is l rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**3 + 4*d**3 - 5*d**3 + 3 in the form q*d**3 + t*d**2 + o + s*d and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**2 - 2*o. Let r be j(2). Let n = 25 - r. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26125148?\nAnswer: 2, 7, 23, 113, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -3*y**4\/4 + y**2\/2 + y + 10. Let d be b(-1). Solve 2*t + 5 = d for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 8. Let s(l) = -l**2 + 8*l + 13. Let y be s(9). Let b be y\/u + 1 + -2. Put -2, -4, b in increasing order.\nAnswer: -4, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 3.8. Suppose -7 = -4*b + 9. Sort 1, h, b.\nAnswer: h, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 948.801 millimeters to centimeters.\nAnswer: 94.8801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1496099?\nAnswer: 11, 43, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 - 7. Let n = 188 + -396. Let g = -200 - n. Calculate the highest common divisor of h and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1076777, -1076778, -1076779, -1076780?\n\"Answer: -n - 1076776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7913745?\nAnswer: 3, 5, 7, 37, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12445 + 12447. Solve -u*x - 3 - 4 = n, 4*x - n = -11 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 162802560 and 6528?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-4) + (-159)\/(-4). Suppose 3*u - 240 + g = -2*d, 4*u - d - 252 = 0. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 91 and 44575314?\nAnswer: 579479082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*z**3 + 197334058*z**2 - 197334058*z**2.\nAnswer: 10*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*(-4)\/18)\/(920\/276)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 16, -324?\nAnswer: -324","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -121 at most -121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*d = 2*y - 24*d - 27, -5*y + 98*d = 97*d + 41 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3422978219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k - 61. Let v(x) = 870*x + 26535. Let w(h) = 1740*u(h) + 4*v(h). Let i(m) = 4*m. Give i(w(s)).\nAnswer: 6960*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6384496535?\nAnswer: 5, 83, 15384329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + -3 + 0 + 1. Is 23 a factor of (920\/24)\/(1 - (-2)\/w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 (base 10) in base 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 7832400 to the nearest 100000.\nAnswer: 7800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-2166358\nAnswer: 433271.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 155*f**3 + 2*f**2 - f + 1. Let n(z) = -155*z**3 - z**2 + z - 1. Let h(t) = -5*a(t) - 4*n(t). Is h(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-258)\/(-54) + 2\/9. Let s be (1 - -3)*(35\/g)\/7. Solve 0 = -2*a - n, n + n = s*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*g + 7*g - 14*g + 192672 = 0. What are the prime factors of g?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -2 + 3. Suppose 0 = -y + j - 1 - 4, 10 = y + 2*j. Let s = y - 3. Put v, 1, s in decreasing order.\nAnswer: 1, v, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - (-1)\/1 - -11. Suppose 3*i + 8 = 2*i + 4*q, 2*i + 5*q - d = 0. Differentiate 2 + i*m**4 + 8*m**4 - 9 wrt m.\nAnswer: 32*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -77 + 25?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 111.343375 rounded to one dp?\nAnswer: 111.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 57?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k**2 + 221160*k - 221165 = 0.\nAnswer: -44233, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5645+0.4\nAnswer: 5645.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*y - 368 + 9*y + 21*y to u*y + r and give r.\nAnswer: -368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 81 = 5*f, 0*f + 2*p - 34 = -2*f. Let h be ((0 + f)\/(-3))\/(-1). Let i = h - -4. What is the smallest common multiple of 8 and i?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - f + 91. Suppose -2*z - 15 = 3*a, a + 5 = -z - 0. Suppose z = -3*i - i. Is v(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 * 143.844.\nAnswer: -1726.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008183283 rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 413318243?\nAnswer: 13, 67, 474533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 282.6251ml in litres?\nAnswer: 0.2826251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72 - -74) + 2\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + 3. Suppose -5*v - 3*c + 175 = 0, 3*c = -6*v + 5*v + 47. Suppose 2*m = -6*m + v. What is the smallest common multiple of m and t(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 516.4287 millimeters to kilometers.\nAnswer: 0.0005164287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1048937699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (11\/6 + -1)\/(562\/13488). Solve -16*z - 44 = q for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*8 + -1*1. Suppose -2*m - m = -x. Let d(g) = -g**3 + 13*g**2 + 13*g + 17. Calculate the remainder when m is divided by d(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -47677*u*v**5 - 3*u*v**2 + 366931*u*v + u + 4*v**2 - 3*v wrt v.\nAnswer: -953540*u*v**3 - 6*u + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.197 and -1.\nAnswer: 0.197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1332 divide 8338174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l - 28 = -13*l. Calculate the lowest common multiple of ((-63)\/l)\/(1\/(-12)) and 15.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8654 + 6?\nAnswer: -8648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/5))**(8\/9)\/(k*k**(2\/7)*k*k)**(-5\/2)*(k**(-2))**(9\/5)\/((k\/k**(-5))\/(k\/(k*k**(-1\/8)))) assuming k is positive.\nAnswer: k**(-2281\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of 0*s**2 + 9 + 4\/3*s**3 - 3*s. Differentiate t(c) with respect to c.\nAnswer: 8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 337*q**3 + 91*q**2 - 515*q**2 + 42*q**3 + 333*q**3 - 86*q**2 wrt q.\nAnswer: 4272","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 25. Let t be u\/(-35) - 8217\/(-70). Let o = 117 - t. Which is the closest to 3? (a) 0.2 (b) -1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 + 5*v - 4. Let u(i) = i**3 + 4*i**2 + 3*i + 3. Let b be u(-3). Suppose b*d - 2*o = -5 + 23, 2*d = 2*o + 12. Calculate p(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 5)*12\/(-12). Suppose 13*d - 56 = -d. Solve 0 = -r + z*r + d*k - 35, k = -4*r + 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h + 2*h - 9*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25483 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2))**(-43) assuming i is positive.\nAnswer: i**86","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-72)\/36*(-24)\/192.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4+13124\nAnswer: 13128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3.76 and 8556?\nAnswer: 8559.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*o**2 - 4*o + o - 4 + 10*o**2 - o**3 as m*o + g*o**2 + c + u*o**3 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6937 + 2892. What are the prime factors of l?\nAnswer: 9829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.1 and 1560.\nAnswer: -1716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2\/1233, 18\/11 in descending order.\nAnswer: 18\/11, -2\/1233, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 87, 138, 199, 264, 327?\nAnswer: 382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -79 - 44. Let c = -88 - o. Let k be 4\/6*(c + 1). What is the highest common divisor of 3 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 17367342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -26733 >= -26736?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 0.03697.\nAnswer: -0.014788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 (base 10) in base 16?\nAnswer: a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + a + 8. Let h(p) = 2*p**2 - p - 9. Let v(m) = m**3 - 4*m**2 + 3*m + 3. Let l be v(3). Let b(u) = l*g(u) + 2*h(u). Calculate b(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5 - -4 - 763\/168 and -71\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b1 (base 13) in base 9?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-2) + 16\/(-2) + (-432)\/(-135)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from viiiivvvviiiiiivvvv.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-12 - -22) + (-64 - (-4 - (-15 + 2)))\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + -3*sqrt(180))**2 - 1*(sqrt(180) + 3 - sqrt(180))**2) + (sqrt(500) + sqrt(500)*3)\/(sqrt(48)\/sqrt(3)).\nAnswer: 154*sqrt(5) + 1627","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218199 is divided by 561.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -17.508 and -56966.\nAnswer: -56983.508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3340319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*y - 2 + 2 + (1 + 1 - 4)*(0 + 0 - 2*y) + 0 + 0 + 2*y - y - 1 + 1 + 4*y - 8 + 3 - 3*y as o + a*y and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + q = 23, 7 = 5*q - 8. Suppose p*i - 206 = 34. Does 12 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 102 - 16*n - 182 + 19*n. Let x be t(28). Solve 0 = -x*v + 3*a - 21, 4*a + 6 = 6*a for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 - -22 - (1 + -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/2*(-8)\/2. Let p = 10 - m. Suppose 4*h + p - 68 = 0. Which is smaller: 16 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*o + 42 = 93*o. Suppose 4*c - 4215 = -4*s + s, -3157 = -o*c + 2*s. What are the prime factors of c?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -11705 - 9081. Let s = -6816 - f. Let m = s + -28653\/8. Find the common denominator of m and 97\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1778074585 is divided by 57?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 808*q**2 - 1612*q**2 + 804*q**2 + 4*q**3.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -95615 or -860524\/9?\nAnswer: -95615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44 + -43. Solve 0 = -2*g + 5*p - 15, -g = p + j + 3 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-4*(sqrt(133) - sqrt(133)*-5))\/(sqrt(112)*3 - sqrt(7) - sqrt(7)).\nAnswer: -12*sqrt(19)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3320354923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of -131*d**6\/120 - 21*d**5\/20 - d**2 + 32*d. Find the third derivative of z(s) wrt s.\nAnswer: -786","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63\/54*((-99)\/(-126)*2 - -3).\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/2)\/(-2*(-6)\/(-72)). List the prime factors of (12010\/(-15))\/((-2)\/h).\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/5 (b) 2\/67 (c) 3.6 (d) -114\/5 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9*(-12)\/9)\/1. Suppose -w + i + 13 = 0. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*u - 120 = 0. Suppose -5*c - 15 = -u. Suppose w = c*w - 20. Solve 0 = -4*m + 2*k - 8, 5*m + 5 = w*k for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, q: 1, y: 1, t: 2, i: 1, j: 1}. What is prob of sequence ti?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1676624096?\nAnswer: 2, 7, 29, 258101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 9. Suppose -7 - 8 = -5*p. Suppose 70 = d*w + 3*y, 0*w = -p*w + 2*y + 44. Is w a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 68 = -4*u, -3*u - 7*v = 8*v - 17*v - 50 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -143 - -140. Suppose 1 = 3*c - 2. Suppose 4*v = -b - 14, -2*v - 11 + c = 2*b. Put t, b, 0.1, -0.3 in descending order.\nAnswer: 0.1, -0.3, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*f + 14 = -k + 12*f - 35*f, 4*k - 4*f - 24 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 65154960 a multiple of 260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 334 = 2*u, 3*u + 4*p = 5*u - 334. Let m = 1505\/9 - u. What is the nearest to 0.068 in m, 1, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2372247?\nAnswer: 3, 29287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.592 - -2.538. Let q = b - 3.23. Let s = -0.07 + -0.33. What is the smallest value in -1\/9, -0.2, q, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) -7\/9 (c) -30 (d) 0.5 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3*sqrt(80))**2 + 4*(sqrt(80) + 0 - sqrt(80)) - ((sqrt(80) - (2*sqrt(80) + -3)) + sqrt(80) - -3*(-2 + sqrt(80)))**2.\nAnswer: -2889 + 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24947 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 3*m**2 - 83*m + 130 = 0.\nAnswer: 5\/3, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 9, 35, 93, 195, 353, 579, 885?\nAnswer: 1283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -307004*0.3.\nAnswer: -92101.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, x: 1, w: 3, b: 10}. What is prob of picking 2 b and 2 k?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t. Let y be z(-1). Let o(j) = -17*j**2 - 1. Let c be o(1). Let w = c - -13. Sort y, -2, w in decreasing order.\nAnswer: -2, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.05 and -109632663800149.\nAnswer: -109632663800149.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*n**5 - 3155*n**2 - 422508*n wrt n?\nAnswer: 400*n**3 - 6310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 483 and 31717?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24694288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3241971 and 9018.\nAnswer: 6483942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4 - 364*n**3 + 22242*n**2 - 516880*n + 4032800.\nAnswer: 2*(n - 71)**2*(n - 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22 by 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9400 and 2496640.\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -205 - -65?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**3 - 7*y**2 + 11*y - 71. Is c(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.8 + -1.1. Let r = v - 2.1. What is the third smallest value in -0.3, 0.02, r?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002315 to 7 decimal places.\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -419, -463, -507, -551, -595, -639?\n\"Answer: -44*t - 375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k\/((k*k**(-2\/5)*k)\/k*k)))*k)**(-21)\/(k**(-5)\/(k**1\/k))*(k**6\/(k*k**4\/k*k))**(-8) assuming k is positive.\nAnswer: k**(-57\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 11 = -2*v + 5*v, 0 = 2*r - 5*v + 18. Suppose -2*j - 157 = -r. Let y be (-26)\/j + 37201\/(-3). What is y rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -343\nAnswer: 686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.782176 decades to centuries.\nAnswer: 0.5782176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -134374000 rounded to the nearest one million?\nAnswer: -134000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -842*q**6 - 2*q**3 + 8*q**2 + 2*q?\nAnswer: -101040*q**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 - 2. Let b = t - 11. Solve m + m + b = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2)\/(-4) - 198\/(-4) is divided by 26\/(-52) - 54\/(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l. Let o be r(-2). Suppose -5*i - o = -4*i. Which is the second biggest value? (a) -2 (b) i (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/27)\/((-2384)\/(-257472))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 9355 and 3.\nAnswer: 9358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/373284 and 67\/7050920.\nAnswer: 63458280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 846\/8 - (-10)\/40. Suppose 8 - a = -7*g. Let z = g + 13. Is 7 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -7*h**2 + 1. Let i(f) = -2*f**3 - 1409*f**2 + 222*f - 9. Let o(v) = 5*b(v) + i(v). What is the second derivative of o(p) wrt p?\nAnswer: -12*p - 2888","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 36*g + 7. Let h(s) = 108*s + 19. Calculate -3*h(w) + 8*z(w).\nAnswer: -36*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -14*g + 29*g - 22*g. Let r(d) = 4*d**2. Give r(k(h)).\nAnswer: 196*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 98 and 14?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61, -50, -165, -284, -407, -534, -665?\nAnswer: -800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -1. Let s = a - -1. Find the second derivative of -2 + g - 2*g**s + 1 + 1 wrt g.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.676223 from 19218266.\nAnswer: 19218265.323777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -387*k**3 - 348*k**3 - 725*k**3 + 1465*k**3.\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -25*x**2 - 3*x + 64. Let i(j) = 3*j. Determine b(i(k)).\nAnswer: -225*k**2 - 9*k + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-2*sqrt(153) - sqrt(153))\/(sqrt(900) - -4*sqrt(900) - sqrt(900)))**2 - (sqrt(1377) + (-1 + sqrt(1377) + sqrt(1377))**2 + 2 + 4*sqrt(1377) + 1).\nAnswer: -8818367\/1600 - 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*q - 10 = 0, -3*o = -4*o + 5*q + 12. Let a = 3 + o. Differentiate -k**3 - 35*k**2 + a + 35*k**2 wrt k.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50428791 to the power of 1\/3, to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000022778735 to 6 dps.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 352098 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 115141863493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*n**3*r**3 + 234*n**3*r**2 + n**2*r**3 - 213*n**2*r - 6*n*r**3 wrt n.\nAnswer: -48*r**3 + 1404*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (18*b + 2*b - b)*(0*b + b**2 + 0*b) - 489*b**2 + 489*b**2 + 17*b**3 + (-b + b - 2*b)*(-5 - 3*b**2 + 5) as o*b**2 + y*b**3 + k*b + d and give y.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of 0*a**3 + 1\/72*a**4 + 0 - 9*a - 1\/180*a**6 + 0*a**2 - 1\/252*a**7 + 1\/120*a**5. Factor p(q).\nAnswer: -q**2*(q - 1)*(q + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3646 + 3648. Which is the nearest to -2\/31? (a) 1 (b) -0.2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 100 = -2*u, 0 = -5*u - 2*y - y - 290. Let b = u - -70. Suppose 0 = v - 15 + b. Which is bigger: 2\/27 or v?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 4*y - 6. Calculate u(-3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 153 and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3154006?\nAnswer: 2, 193, 8171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/2 + (-10)\/(-4). Suppose -q*w = 3, -98 = 6*p - 2*p + 2*w. What are the prime factors of (-1)\/((15\/p)\/5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*c**4 - 24*c**4 - 17*c**4)*(196*c + 78 - 78).\nAnswer: -4508*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13774 rounded to 2 dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -9. Suppose -332 = z*x - 2217. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 229405 and 62565.\nAnswer: 688215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -675*t = -441*t - 336*t - 2142 for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 3*q + 2*q. Let b = -170 - -175. Calculate the smallest common multiple of b and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28084736353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*o**2 - 2 + 5*o**2 + 1 + 13*o**2 + 17*o**2 as g*o + s + c*o**2 and give c.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 48, 53, 66, 93, 140?\n\"Answer: w**3 - 2*w**2 + 4*w + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 p, and 1 o when three letters picked without replacement from pwbopwvi?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4)*132886\/(-30666)?\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 6*s + 6. Suppose 8 = 5*n - 17. Suppose -n*p = -4*j + 39, 2*p - 3*p = -j + 9. What is the units digit of h(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -0*k - 5*k + 6, -10 = -2*p - 3*k for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-16) + (-1477)\/4. Let z = x + 4017\/11. Find the common denominator of -37\/3 and z.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 9:29 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 2\/23, 1, -0.1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1*3299\nAnswer: -3299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 250099.9 millennia in decades?\nAnswer: 25009990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 108 = 104. Let i be (-5)\/s + (-96)\/(-24) + 4. Suppose 0 = -2*h - 2*v - 3*v, 0 = 5*h + 3*v. Solve h = -i*a - 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 - 0.2. Let x = -5160 - -5160.05. Sort -2\/9, u, x in increasing order.\nAnswer: -2\/9, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 2*n + 5. What is p(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**4 + 0*a**4 - 3*a**4 + (0*a**4 + 2*a**4 - a**4)*(-1 + 1 - 2) + a**4 + 0 + 0 - 4*a**4 + 9 - 9 + 0*a**2 - 2*a**4 + 0*a**2.\nAnswer: -8*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 404 + -409. Let i(k) = -2*k + 2*k**2 - 3*k - 12 + 3. Let a be i(y). What is the greatest common factor of 6 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, p: 2, b: 8}. Give prob of sequence bqp.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 11 + 13 = 0. Is 2885\/20 - (2\/8 - d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2142920 and 90.\nAnswer: 19286280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 - 13. Let t = d - 5. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -707335546 or -707335547?\nAnswer: -707335546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 200 and 24350.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -71.7 (c) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/(-2) + 29 + 3?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*112.46.\nAnswer: 562.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -29746, -3\/299, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 45007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, j: 1, t: 1, s: 1, n: 2}. What is prob of sequence nst?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 4*w - 116 = 0, w = -3*j - 2*j + 141. Let a = 6252 - 6249. Solve -a*d - 4*d - j = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 3 = -3*o - 20, 25*o + 111 = -b for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -4\/7*a**2 - 2\/7*a - 2\/35*a**5 - 4\/7*a**3 - 2\/7*a**4 + 15. Suppose b(r) = 0. What is r?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*sqrt(52) + -4 - (sqrt(26)\/sqrt(128) - 4*sqrt(13)*-5))**2.\nAnswer: 33*sqrt(13) + 15181\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of d**3\/6 + 5*d**2\/2 + 2*d. Suppose -m - 5 = w, -4*w = m - 11*w - 35. Calculate o(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*w**4 - 4*w**4 + 5*w**4 + (-1 + w**2 + 1)*(3*w**2 - 3*w**2 + 2*w**2) - 4*w**4 + 14*w - 14*w in the form i*w**4 + v*w**2 + f*w + b*w**3 + k and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-52)\/(-6))\/((-8)\/(-12)). Calculate the greatest common divisor of 117 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 22755*b + 13 - 8.\nAnswer: 22755*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19360900?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvpqvpyvv. Give prob of picking 1 y, 1 q, and 2 v.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*n + 120 = 0. Suppose m + n = 4*m. Suppose 5*p + 2*g = 30, -4 = 3*p - 4*g + 4. Calculate the greatest common factor of p and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 5 - (-12)\/9*-3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -2*m**3\/9 + 14*m**2\/3 = 0.\nAnswer: 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6 and 48424.874?\nAnswer: 48418.874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133.6255 centuries to months.\nAnswer: 160350.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 1868*c**2 - 3*c + 1. Let d be n(3). Let i = 23691 - d. Suppose -5*v + 2*w = -i, -3*w - 6903 = -5*v - 5*w. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4015155 divided by 3?\nAnswer: -1338385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -12. Let g(u) = u**2 - u - 5. Is 11 a factor of g(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -46, -91, -144, -199, -250, -291?\nAnswer: -316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.05 - 82.05. Let j = -448.83 - -530.8168. Let c = j + s. Round c to 3 decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 198.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {x: 2, k: 4}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from qqqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -q**3*t + 677*q**3 - 65*q**2*t - 9*q**2 + 3*q*t with respect to t.\nAnswer: -q**3 - 65*q**2 + 3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -189699, -189691, -189669, -189627, -189559, -189459, -189321?\nAnswer: -189139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - ((-4 - -4) + 0)) + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -257*a**3 - 50*a**2 - 44*a - 24. Let n be f(-24). What is n rounded to the nearest ten thousand?\nAnswer: 3530000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.497 less than 0.15054578?\nAnswer: -1.34645422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 31059141541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.4 or 0.0522?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1288?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilometer in centimeters?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((w\/(w*w**0*w))\/w)\/w)\/w)**13*w**0\/w**10)**18 assuming w is positive.\nAnswer: w**(-1116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 5501.\nAnswer: -2, 1, 5501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + 1 + 0 - (-50)\/2. Let g(a) = 2*a - 5. Let x be g(4). What is the highest common divisor of v and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28533 times 0.039?\nAnswer: -1112.787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94808 is divided by 43?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -741 + 1056. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16.8 + -27.75. Let n = x + 0.35. Let c = n - 0.8. Round c to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 - -52. Calculate the least common multiple of 8 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + 4 + (-34)\/6. Are d and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 200*t - 5995. Let h be j(30). Solve -4*x - 7 = -h*a, -5*a - 11*x = -9*x + 11 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.14477 + -1.19887. What is j rounded to one dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 5. Suppose 5*x + 10 = 0, -3*n + c = -x - x. Solve n*r + 2 = r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bfafeffffbffffmfmfa. What is prob of sequence mam?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -12 + (0 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a meter in micrometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/3 of a year in months?\nAnswer: 112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -5*r**2 + 3. Let w(h) = -2*h**2 + 15*h**2 - 16 + 13*h**2. Let f(d) = -16*s(d) - 3*w(d). Let q(u) = -2*u**2. Give f(q(p)).\nAnswer: 8*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 4223 = -6*y + 4109, 4*n - 38 = 2*y for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 1, -72666, -3, 0, -5, 4 in ascending order.\nAnswer: -72666, -9, -5, -3, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 - 954*i**2 - 571*i**2.\nAnswer: -1525*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -74, -3, 360.8?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 p when two letters picked without replacement from ptttbptbtttttttttbtt.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -w + 4*p + 2, -6 = 3*w + 5*p. Solve 3*x + w = -0*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620071989 to the power of 1\/3, to the nearest integer?\nAnswer: 853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 517500 is divided by 2694.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/4 - (33\/(-24) + 0)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1001 - 222110?\nAnswer: -221102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, r: 1, p: 1, v: 2, n: 2, g: 2}. What is prob of picking 1 v and 1 p?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60123314 by 2.\nAnswer: -30061657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 465*c**2 - 5*c - 13. Let v(s) = s**3 + 468*s**2 + 4*s + 11. Calculate 4*d(n) + 5*v(n).\nAnswer: n**3 + 480*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 138*w + 281. Calculate h(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0, 2, 0.33, 0.5?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 1:31 AM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199 is divided by 62?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14143 is divided by 14125.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 11:45 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -6, 5, 4 in decreasing order.\nAnswer: 5, 4, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.132 + 120.132. Let q = w + -119.999. What is q rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2*b**2 - 1166*b + 1164 = 0.\nAnswer: 1, 582","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 - 72*k + 29*k + 32*k + 22*k.\nAnswer: 11*k - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2 - 2786128*l + 485156827024.\nAnswer: 4*(l - 348266)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 - 4)*(-7 + 7 + 2*r)*(4 - 16 - 2) to the form b*r + a and give b.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2624116263 + -5?\nAnswer: -2624116270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 27 + 73 - 7 - 30 - 12*h.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -3 - (4 + (-24 - -6))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3c5687 (base 16) to base 12.\nAnswer: -13a845b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110483?\nAnswer: 17, 67, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 260 and 64?\nAnswer: 4160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of 1\/6*c**3 + 0 - 2*c**2 - 9*c. Let f be o(9). Solve 3*r + 2*r = -v - 10, f*r + 4*v = -25 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 8:05 PM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -4*y - 5, 5*s - 16 = -3*y + 9. Suppose y = 7*l - 6*l. Is -4 less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -4*a**2 + 44 + 0*a**2 + 3*a**2 + 19*a - 4*a**2. Let m be w(-14). Let d = 2601 + m. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -n**3\/3 + n**2\/2 - 81. Let g(x) = 7*x**2 - 6*x - 1. Suppose f + 1 = -0*f. Calculate f*g(w) - 6*h(w).\nAnswer: -w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 364, 2852, 9576, 22654, 44204, 76344?\n\"Answer: 353*m**3 + 17*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**3 + 2240*i**2 + 51600*i + 305280.\nAnswer: 5*(i + 12)**2*(i + 424)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 4*o + 496, -4*n + 4*o + 315 = -81. Let i be n\/75 - (-2)\/(-6). Solve -3 - i = 4*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 - ((-20)\/5 - -4). Which is the biggest value? (a) -6 (b) v (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -604164 (base 8) in base 16?\nAnswer: -30874","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/9 and 67\/252.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 3*w = -192, 0*x - 147 = -3*x + 3*w. Calculate the highest common factor of 9 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.79 times -0.5?\nAnswer: 3.395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -1001*n**6\/15 + 1505*n**2 - 1204*n. Differentiate f(h) with respect to h.\nAnswer: -8008*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + q = -10, -50*q - 10 = -48*q for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.6814 - -0.0812. Let a = -0.053 - -0.653. Let x = a + l. Round x to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 12:12 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -6*c - 2. Suppose 9*h - 3*h = -6. Let z be q(h). Let f(o) = -o**2 + 6*o + 8. Let b be f(6). Solve z*u = -5*m + b, -3*u - u + 2*m - 20 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**2 + 31*x + 13. Let y be o(-15). Let g be ((-2)\/y)\/((-78)\/1118). Is -13 greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/77 in 4161, 4, -9\/14?\nAnswer: -9\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - -6. Calculate the highest common factor of 48 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 227449731?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3*x + 35 = 0, -m - 1 = -5*x - 4. Solve -m = -2*l + 6*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x**3 - 2*x**2 + 6*x + 3. Does 4 divide s(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*p + 287 = 149 - 438 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 + 7*n - 7. Let d(k) = -2 + 2*k**2 + 20*k - 1 - 3 - 14*k + 0. Calculate -7*d(a) + 6*o(a).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + i - 61, 5*z - 301 = 16*i - 19*i. What is the remainder when 161 is divided by z?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000299241822 rounded to 7 decimal places?\nAnswer: -0.0002992","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {r: 5, c: 4, j: 2}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 479.0676 litres to millilitres.\nAnswer: 479067.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -93?\nAnswer: 46.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, f: 4, v: 2, h: 5}. Give prob of picking 2 v.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 754 divided by 6.\nAnswer: 377\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 140\/104 - (10 - (-204)\/(-24)). What is the nearest to 1\/3 in 2, -0.3, r, -0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-2*sqrt(72)\/sqrt(9) + -1)**2 + (sqrt(22) + (sqrt(22) - 2*sqrt(22)*2) + sqrt(22) + sqrt(22))\/(sqrt(44)\/(sqrt(4) + (sqrt(36) - sqrt(4))))).\nAnswer: 40*sqrt(2) + 165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r + 90 = -8*r. Solve -w - r = 5*x + 2, 0 = 3*x + 12 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 91 (b) -0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (2 - 2) + (-22 - -26)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48638?\nAnswer: 2, 83, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -4*v - 8, -3*n - 5*v = -7*n + 10. Suppose d = 4, 0 = -4*l - n*l + 5*d + 116. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264878 = 4*z - 5*n, 46*n - 264858 = -4*z + 41*n. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = x + 24. Suppose -3*t = 4*u - 3, -3*u + 13 + 2 = -2*t. Let s = u + -1. Put s, x, 0.5 in ascending order.\nAnswer: x, 0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 95 - 40. Suppose a*n - 46*n = 66195. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -834 - -838. Is (14019\/i)\/(6\/16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of 5*g**3\/3 - 830*g**2 + 1655*g - 11864. Determine m, given that q(m) = 0.\nAnswer: 1, 331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o\/o**(3\/10))\/(o*o**6\/o)*o**(-4)*o*o\/(o\/(o**(-4)*o)) assuming o is positive.\nAnswer: o**(-93\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6959, -14033, -21107, -28181, -35255?\n\"Answer: -7074*u + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 2.90188 kilometers?\nAnswer: 2901880000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -189, -356, -523, -690?\n\"Answer: -167*i - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 107 + -66. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -g**5 + 45*g**4 - 1615\/3*g**3 + 19 - 90*g**2 + 1620*g. Factor l(y).\nAnswer: -5*(y - 18)**2*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -436400 rounded to the nearest 10000?\nAnswer: -440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/5 (b) 2.1 (c) 319 (d) -2 (e) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -1. Suppose -i*b + 16 = -b. Suppose -3*z + 21 = -4*u + 9, z = -4*u + 20. Solve -4*w = -v + z, -b*v + 3 = 4*w - 9 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.25 - -0.65. What is the nearest to 3\/4 in 2\/9, 0.1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2\/103, -42, 3, 1 in decreasing order.\nAnswer: 3, 1, 2\/103, -1, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 22 = 4*v - 3*a, 0 = 2*v + 3*a + 1. Suppose 0 = -t + 2*t - v. Is 1581\/t + 4\/(-16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bxffbx. What is prob of sequence bxbf?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.632946 rounded to 3 dps?\nAnswer: 0.633","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 685 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, n: 3, d: 7}. What is prob of picking 2 n and 1 d?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 1:35 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 4 + (0 - 1 + 2)*(-5 + 3 + 1))*(-k - 4 + 4 + 4).\nAnswer: -2*k + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32\/5*h**4 + 2\/5*h + 0 + 16\/5*h**3 + 14\/5*h**2 = 0 for h.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 692*d**3 + d**2 - 117 wrt d.\nAnswer: 4152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 3*f**2 - 8*f**2 - 4*f)*(5*f - 2 + 2).\nAnswer: -55*f**3 - 5*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 14 = 4*v, m + 4*v - 18 = 0. Suppose 15 = -3*g, 0 = -d - 2*d - 4*g - m. Suppose -3*j + d*j = 60. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 2*p + 3)*(0 + 0 - 2) + 4*p - p - p + 45*p - 11*p - 18*p)*(7*p - 2*p + 2*p)*(0*p + 0*p - p).\nAnswer: -98*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 12*b**3 - 417*b**2 - 1489*b + 77. Calculate h(38).\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (924\/96 + -10)\/((-21)\/(-84)) - 70\/4.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -148270369*o**4 + 100498301?\nAnswer: -593081476*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 61*b**2*k**2*p**2 - b**2*k**2*p + b**2*k - 5*b*k**2*p**2 - 20*k**2*p wrt p.\nAnswer: 122*b**2*k**2 - 10*b*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21.05 + 14.05. Let w = 11 + -8. What is the biggest value in -5\/4, g, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 - t - 1. Let b be 1\/3 - (-10)\/(-30). Let m be n(b). Sort 5, 1, m in ascending order.\nAnswer: m, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2276577 - 6.2\nAnswer: -2276583.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kx when two letters picked without replacement from {k: 7, x: 9}.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 47 + -1365.924.\nAnswer: -1318.924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 37010 - 149947 = 3*c, -141172 = -5*u + 4*c. Is 152 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11179407 to the power of 1\/3, to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -121 - -2?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 18, 1, 113, -4 in increasing order.\nAnswer: -4, 0, 1, 18, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -0.2, 0.1, -51?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -712 = -4*l + 3*z, 2*l + 5*z - 215 = 141. Let y = l - 42. What are the prime factors of y?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i - 13. Let o be d(6). Suppose 20*n - o = 15*n. Is -2\/37 <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15290 by 2.\nAnswer: -7645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((-36)\/(-3)*(-1633)\/(-138))?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of 11*v**5\/20 + 5*v**4\/4 + 55*v**3 - 29. Let l(n) be the third derivative of u(n). Differentiate l(j) with respect to j.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1464321*d - 5211102?\nAnswer: -1464321","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h**2 + 5. Let g(w) = 40*w**2 + 13*w + 8. Calculate g(p) - 2*y(p).\nAnswer: 46*p**2 + 13*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.25 and 548465.\nAnswer: 548465.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2\/4 - 56181*w\/4 + 42129.\nAnswer: 3*(w - 18724)*(w - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*c**2*k**2 + 2*c**2*k - 16*c*k + k**4 - 4*k**3 + 14*k wrt k.\nAnswer: -40*c**2 + 12*k**2 - 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16624982?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence okgl when four letters picked without replacement from okglaagklagaga.\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -8899463*w**2. Let v(j) = 4*j**2. Give r(v(d)).\nAnswer: -142391408*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - p + 4*p + 1 = 0, -3*x - 3*p - 3 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and -12939.986.\nAnswer: -12939.486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 1. Suppose -4*h + 46 = 50. Let n(a) = 6. Let q(o) = h*n(o) - 6*t(o). Let l(y) = -2*y. Calculate q(l(z)).\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = -4*j - 1, -l + j = -1 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 11\/23326654?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 34797\/11 + 160\/(-440) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -8. Suppose 4*n + h = 7*n. Which is the closest to -0.2? (a) -0.5 (b) n (c) -3\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 - -15.2. Let n = 349\/1428 + 2\/357. Is i greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.2 + 0.2. Let r = -30 + 30.3. Let h = -15.4 + 15. What is the closest to 2\/7 in r, t, h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2574650821 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.6 - 2. Let a = 4 - 9. Let f = -5 - a. What is the third smallest value in f, -1, x?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*y + 288 = -143 - 175 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (24 + -18 - (2 - 1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 7 = -0. Suppose b*v - 50 = 2*v. Suppose 0 = 2*w - 5*h + 7, -12*w = -9*w + 2*h - 18. Solve 12 = 3*p + w*m, -2 = -3*p - 2*m + v for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1272784932?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 3*k. Let q(r) = -4*r**2 + 11*r + 1. Let g(v) = -9*f(v) + 2*q(v). What are the prime factors of g(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-42))\/(-4 - 83\/(-21)). Solve 3*a - 5 = -3*t + 4*t, z*t + 15 = 3*a for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11277*a**4 + 40*a**2 - 29338923*a.\nAnswer: 135324*a**2 + 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/((-81)\/24))\/(19176\/769437).\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -70 divided by -70\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5796571\/761598 - 2\/42311. Find the common denominator of z and -19\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(539)*2)**2 - ((sqrt(539) + -3)**2 + 3))*4.\nAnswer: 168*sqrt(11) + 32292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3717716\/11 + 338244. Let u = m - 270. What is the second smallest value in -0.5, 0.5, 5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -796 * 12.\nAnswer: -9552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1951, 1945, 1929, 1897, 1843, 1761?\n\"Answer: -z**3 + z**2 - 2*z + 1953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 14*n**2 + 21*n + 41. Calculate the remainder when 149 is divided by k(-12).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 651 + -379.3.\nAnswer: 271.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*3 + -5 + 5. Let n(x) = -7*x + 4. Let f(c) = 14*c - 9. Let i(j) = 26*j - 17. Let s(z) = 7*f(z) - 3*i(z). Calculate g*s(l) + 17*n(l).\nAnswer: l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 103 = 2*j - 165, -i + j = -70. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - (-9)\/(180\/(-64)))\/((-21)\/(-245)). What is the closest to i in -10, 14, 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 386083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) 1 (b) 6 (c) 8 (d) -0.4 (e) 2410\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2696356 and 832.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(4\/3)\/k*k**(6\/11) assuming k is positive.\nAnswer: k**(29\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + 11*n + 123. Let c be k(18). Let d be (-2 - c)\/((-7)\/(-903)). Calculate the greatest common factor of d and 86.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qbzx when four letters picked without replacement from {z: 3, q: 3, x: 1, b: 4}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -p*v**2*y - 515*p*v**2 - p*v*y - 2627*p*v - p + 3*v**2*y + 4*v*y - v wrt v?\nAnswer: -2*p*y - 1030*p + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4 = -3*x. Calculate the remainder when (-24)\/(0 - 4)*3\/2 is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 5*h - 63 = 0, -2*h + 6 = -0*h. Find the second derivative of 6*w**3 - 115*w**2 - r*w + 115*w**2 wrt w.\nAnswer: 36*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s + 3*s - 7*s + (4 - 4 + 2)*(-s + 4*s - 4*s) + 3*s - 5*s - 3*s - s - s + s.\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 20010020102121?\nAnswer: 20010020102110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-2 - 2 - -5) - (2 - -17)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**2 + 7*f + 5. Let o be d(-1). Suppose 24*u - 28*u = w - 291, o = u - 5*w - 57. What is the least common multiple of u and 3?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -234 - -600?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -11*u - 70. Let o be b(-8). Let y be (-1)\/((-132)\/o - -7). Solve -5*t + 2*x + 4 + 3 = 0, -5*t = y*x - 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**2 + 52*k. Suppose -q + f + 25 = 0, -4*f + 38 = 4*q - 70. Let y be r(q). Let u be 2*-1*28\/8. Put 4, y, u, -1 in ascending order.\nAnswer: u, -1, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -7*h**5\/120 - 22*h**3\/3 - h**2 - 40*h. Let w(d) be the second derivative of j(d). Let g(r) = -r**2. Give g(w(p)).\nAnswer: -49*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 68, 103, 138, 173?\nAnswer: 208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + (-2)\/4*-8. Suppose -1222 = -d*j + 829. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 45 = -4*l, 4*l - 2*l + 4271*a = 4276*a + 29 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o - 1. Let g be q(2). Suppose l + g*l - 36 = 0. Solve -4*c + w = 2*w - l, c - 5*w = 18 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -250 + 1476713?\nAnswer: 1476443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of -h**6\/600 - 13*h**5\/300 - 17*h**4\/40 - 21*h**3\/10 + 4*h**2 + h. Solve m(l) = 0 for l.\nAnswer: -7, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-27)\/(-12) + -2)\/(-10 + 44\/4). What is the nearest to q in 0.594, -5, -3?\nAnswer: 0.594","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/55 and 87\/110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7\/35547 or 0?\nAnswer: 7\/35547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -40*x**2 - 8. Let i(u) = 40*u**2 + u + 7. What is -2*i(m) - 3*r(m)?\nAnswer: 40*m**2 - 2*m + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/23 and (96\/966)\/(-8)*19\/(-2)?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(539))**2*3.\nAnswer: -84*sqrt(11) + 1629","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1022 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from deeddeeeeeddd. What is prob of picking 2 d?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*g - 79 = 5*r, -3*r - 15 = 0. Let f = 60 + g. Factor 2\/3*q**2 + 4*q + f.\nAnswer: 2*(q + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 11.8?\nAnswer: -3.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1091\/30 + -211\/5. Suppose -38*v + 9573 = -29187. Calculate the common denominator of (23\/(-2))\/(v\/100) and q.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 708576 and 1889536.\nAnswer: 5668608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.057106772 to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 r when three letters picked without replacement from {y: 2, c: 1, a: 1, q: 7, t: 1, r: 2}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -3.4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152)*-1*5 + sqrt(152) - sqrt(152) - sqrt(152))\/sqrt(8))**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.12 at most as big as -57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b + -2dd?\nAnswer: -2c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8180228?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 1 + (1 - (-3 - -13))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -3*y**5 + 14148*y**4 - 2989623*y**3 - 15188778*y**2 - 24426660*y - 12241656 = 0?\nAnswer: -2, -1, 227, 4494","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48 - -92. Let r = 64 - u. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -23456*l**2*v**4 - 70316*l**2 - v**4 wrt v?\nAnswer: -93824*l**2*v**3 - 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + p = 129, 5*p = 2*h + 4*p - 53. Suppose 5*g - 97 = -0*z - 4*z, -4*g - 42 = -2*z. Calculate the remainder when z is divided by h\/(-221) - (-104)\/17.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*h**2 - 2121*h + 2121*h.\nAnswer: -22*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3a8 + -ca283?\nAnswer: -ca65b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -619314*o**4 + 33*o**3 + 128660890 wrt o?\nAnswer: -2477256*o**3 + 99*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*m - 8 = -0*a, -2*m - 6 = 0. Suppose 3*d + 9*i - 111 = a*i, 3 = i. Calculate the remainder when 79 is divided by d.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009747 rounded to four dps?\nAnswer: -0.0097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 34992, 70061, 105130, 140199, 175268?\n\"Answer: 35069*s - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3*a = -7, -4*w + w + 24 = 4*a. Solve 5*v + 0*n = 2*n + 16, 4*n = v + w for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -170 + 146 + 213*k + 11 + 4*k**2 - 6*k**2 as i*k + r + n*k**2 and give r.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of y**3\/6 + 58*y**2 - 17*y. Suppose -4*k + 0 + 20 = 5*o, 0 = 5*o + 3*k - 15. What is the units digit of w(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105 - 80 = -5*l - 5*a, -11 = l + 3*a for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -313.5 rounded to the nearest ten?\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/771, -1005, 4 in descending order.\nAnswer: 4, 1\/771, -1005","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6909994367?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2 (b) 1 (c) -1 (d) 238 (e) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 2*f**2 + 0*f**2)*(184*f**2 + 598*f**3 - 184*f**2).\nAnswer: 1196*f**5 + 598*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 2*k + 14, 93*k - 88*k = -z + 27. Let u(n) be the first derivative of -z*n - 2*n**2 + 2\/5*n**5 + n**4 + 0*n**3 + 4. Factor u(m).\nAnswer: 2*(m - 1)*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 238 and 34833?\nAnswer: 487662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.13, 2\/7, -2, 27, -50 in ascending order.\nAnswer: -50, -2, -0.13, 2\/7, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 10*y + 14. Let c(x) = 1 + 29*x + 7*x - 18*x - 2*x - 15*x. Give -28*c(w) + 2*q(w).\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1308*j**2*y**3 - 17*j**2*y**2 - 292*j**2*y + 3*y**6 wrt y.\nAnswer: 7848*j**2 + 360*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 301 + -271. Calculate the remainder when 81 is divided by h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 7) + 97 + -79 + -113 + -3 + -2.\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 324094 is divided by 4051?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(-1) + -2)*-3. Suppose 4*k - 22 = c*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8379829 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of 0*y + 5\/2*y**2 - 1\/72*y**4 + 1\/45*y**5 + 0*y**3 - 1\/120*y**6 + 2. Let v(c) be the second derivative of n(c). Factor v(j).\nAnswer: -j*(j - 1)*(3*j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**0*r)**50\/(r**6\/(r\/(r\/r**2))))**(-8\/5) assuming r is positive.\nAnswer: r**(-368\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10390*s**3 + 10402*s**3 - 20788*s**3.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 17 = 2*y - 24, -5*y - 17 = 4*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 463 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001387109275 rounded to 7 dps?\nAnswer: -0.0013871","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) + sqrt(132)*2*4)\/(-1*sqrt(192)).\nAnswer: -9*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-20)\/n*n**(-1\/8)*(n\/(n**(-12)*n*n))\/(n*n**(2\/41)*n*n) assuming n is positive.\nAnswer: n**(-4321\/328)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from snsn. What is prob of picking 2 n?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, -4, -0.2, -1 in increasing order.\nAnswer: -4, -1, -0.2, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16663195 by 16663195.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + 2*i. Let c(k) = -20*k**2 - 3*k + 17. Let p(g) = -c(g) - 4*w(g). What is the first derivative of p(b) wrt b?\nAnswer: 32*b - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/483870 and -12\/4445.\nAnswer: 3387090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -416.7977 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 96\/7 + -274\/21. What is the third smallest value in 4.1, -0.4, u?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 5*a + 10 = 0, a = 3*g - 17. Find the third derivative of -3*l**4 + 3*l**4 - 5*l**2 + g*l**2 + 8*l**4 wrt l.\nAnswer: 192*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16.9 + -17. What is the second biggest value in w, -2\/9, 1\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -14*x**2 + 11*x - 91. Give c(5).\nAnswer: -386","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*m**2 - 1 - 6*m**2 + 6*m**2 to the form r*m + n*m**2 + f and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-15)\/(-18)*-3*-6 and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 2*j)*(-1 - 1 + 4) + (6*j - 4*j - 4*j)*(-131 + 36 - 144 + (3 - 2 - 2)*(-4 + 5 - 5)) in the form p*j + k and give p.\nAnswer: 474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 48 (b) -60 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 353651580 by 3390.\nAnswer: 104322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v**2 - v**2 + v**2 + 2*v**2. Let l(t) = t - 2*t + 0*t. What is l(h(a))?\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-60))\/(18\/1575*-21)?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 3:28 AM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9, 46, 1\/3, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 597718 is divided by 119542.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 69, 100, 131, 162, 193?\nAnswer: 224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 666*b - 4627. What are the prime factors of s(41)?\nAnswer: 22679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1452716471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-19)\/(-2) - (-9)\/(-6). Let i = o - -8. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, x: 2, f: 4, k: 6, e: 2}. Give prob of sequence ked.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 + -20. Let a = x + 34. Is a a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - 17. What is the third biggest value in 1\/2, x, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*v**3 - 1044 + 55*v**3 + 36*v**3.\nAnswer: 3*v**3 - 1044","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*i*q**3 + 8700*i*q**2*y - 2*i*q*y - 8*q**3 - 6*q - 31*y - 66 wrt q.\nAnswer: 54*i*q + 17400*i*y - 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 116647 to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -44. Is 35 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m + 2. Let v be c(-10). Calculate the common denominator of 18*1\/(24\/9) and -7 - -7 - (-77)\/v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.072 - -0.07199575. Round x to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 61\/2? (a) 2 (b) 0.3 (c) 1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(-1\/3)*b*b**5\/b)\/(((b**5\/b)\/b)\/b*b*b**(3\/2)) assuming b is positive.\nAnswer: b**(13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1001 and 416.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8372?\nAnswer: 2, 7, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 40656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 8) + (-20 - -39).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 + 0.2. Let n be (2 - 1)*(0 + -3). Let x = -2 - n. Put -3\/4, r, x in ascending order.\nAnswer: -3\/4, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7*-7*1)\/((-24)\/72). Let n be 42\/r + (-214)\/(-14). Solve -j + 3 = -4*d, -4*j - n = 5*d - 6 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12161501.\nAnswer: 11, 19, 58189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1872) - (1*(1 + sqrt(1872)) - sqrt(1872)) - sqrt(1872)) + -4 + 2)*-5)**2.\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -725a9 (base 12) in base 15?\nAnswer: -2e43c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 0*y + 2*y)*(72 + 44 - 325 - 2 + 5 - 2 + (2 - 3 + 3)*(1 + 2 - 2) + 0 + 0 - 1).\nAnswer: -414*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -6*i. List the prime factors of z(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40.991 - -41. Let v = -0.00900034 + t. What is v rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 2:18 PM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g + 1. Let v(r) = r**2 - 5*r - 12. Let b be (15\/10)\/((-9)\/(-30)). Suppose 0 = -3*c + 4 + b, 4*s + c = 31. Let o be v(s). What is a(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1895\/4 - -1513\/4. Let p = 92 + m. What is the common denominator of (-8)\/28 + (-82)\/154 and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*j = 2*m - 744, -5*m + 1240 = -4*j. Suppose -5*c + m = -3*o - 183, 2 = -o. Let b = c + -30. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 12) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -54*z - 308. Let x(h) = 12*h**2. Give t(x(k)).\nAnswer: -648*k**2 - 308","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8 - -1)*2\/3. Let f(q) = -2 + 4 + 1 + q**2 + q**2 + l*q. What is the units digit of f(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + -4)\/(-18 + 17). Let g(v) = v - 6. Let i(c) = -c + 11. Determine z*i(x) + 5*g(x).\nAnswer: 2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5737 + -3314. List the prime factors of l.\nAnswer: 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2137*n**2. Let u(a) = 2*a. What is u(j(x))?\nAnswer: -4274*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/5, 2331, 5 in descending order.\nAnswer: 2331, 5, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of 6*t**2 - 18*t - 2\/3*t**3 + 1. Factor q(f).\nAnswer: -2*(f - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ts when two letters picked without replacement from {a: 4, v: 5, s: 1, t: 1, z: 5}.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n + 51 - 47 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/2)*w)**(10\/3))**(-49) assuming w is positive.\nAnswer: w**(-245\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1709435911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12586.9 in 14, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -52 + s + 28 + 15. Determine z(13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7919894537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*x**3 - 109*x**3 + 6*x - 12*x + 2*x + 4*x.\nAnswer: -24*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/(-156)*(-48)\/(-64)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 9799.\nAnswer: -9794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -258 in -4, 2\/41, -1\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -179*j**2 - 98*j**2 + 22*j**2.\nAnswer: -255*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 9.76794 micrograms?\nAnswer: 0.00000000000976794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 2134634.\nAnswer: -640390.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5247 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((sqrt(363) - (2 + (sqrt(363) - sqrt(363)*-2))) + sqrt(363) - sqrt(363)) + 2 - (1 + (1*sqrt(363) + sqrt(363))*5)).\nAnswer: -132*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3*q - 1)*(-471*q + 999*q - 465*q).\nAnswer: -189*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of -1\/30*t**5 + 0*t + 2*t**2 + 0 + 0*t**4 + 0*t**3. Let r(h) = 34 + h**2 - 34. Calculate r(q(g)).\nAnswer: 4*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -24030 (base 11) in base 6?\nAnswer: -424211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {q: 9, d: 7}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t - 4482 = 64*t - 383*t + 141*t for t.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -33*n**2 + 5*n + 6. Let x(i) = 1. Let l(u) = -f(u) + 3*x(u). Let j(t) = -98*t**2 + 14*t + 8. Let m(a) = -3*j(a) - 8*l(a). Is 20 a factor of m(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5177216 - 0.4.\nAnswer: -5177216.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4 + -2*sqrt(637).\nAnswer: -14*sqrt(13) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*-9*(-47)\/(8883\/(-90))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1461\/(-6))\/(1\/(-2)). Let u = i - 313. Suppose 4*z - 2*z - u = 0. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, 0, -3700, -1, -0.02?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.671 - 1.671. Let m be 16\/(-6)*6\/4. What is the nearest to m in -2, a, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - 15. Let i be c(5). Calculate the greatest common factor of 30 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 24.89 and 0.4.\nAnswer: 9.956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i - 7. Let u be r(-3). Let x = u + 4. Suppose x = -c + 3*c - 58. Is c a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 5*j - 4 + 40, -2*j = -4*c for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002074938 rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in 5, 13742, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q + 9. Let h(p) = -1. Let r(f) = -2*h(f) - w(f). Give r(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64791?\nAnswer: 3, 23, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 83 = -4*g, 3*c + 2*g = 3*g + 47. Let s(y) = -y**3 + y**2 + y + 1. Let a be s(-2). Let x = c - a. Solve 0 = -5*m + x*m + 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 5. Let z(s) = 1. Suppose 2*x + 24 = a - 3*x, 4*a - 5*x - 21 = 0. Let f(u) = a*c(u) + 5*z(u). Let i(q) = -3*q + 5. What is f(i(b))?\nAnswer: -9*b**2 + 30*b - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 791584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171393.\nAnswer: 3, 57131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-10) + ((-11781)\/(-35))\/(-11). Let h = -60 - u. Let z be (-2)\/(-5) + (-138)\/h. Which is smaller: 12 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*k**2 - 2*k - 695 + 695 + 2*k.\nAnswer: -26*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(2 + sqrt(175)))**2.\nAnswer: 320*sqrt(7) + 2864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 2:44 PM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 + 1 + (57 + 0 - 5) and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-13 - 0) + 5108399610\/(-30). Round l to the nearest 1000000.\nAnswer: -170000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8068)\/(-22))\/((-6)\/(-1)). Let i = 205697\/3333 - j. Let f = i + -5221\/1818. Calculate the common denominator of -87\/2 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28642839 a multiple of 648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 9 + -5 + -6 + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 13*k + 17*k - 573 = 0, 3*n = -k + 348. Calculate the remainder when 1750 is divided by n.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6904, -6905, -6906?\nAnswer: -6907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 30025313 to the power of 1\/2, to the nearest integer?\nAnswer: 5480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 17*g**2 + 16*g + 38. Let n = 370 + -352. Let o be v(n). Let z(a) = -2*a + 7. What is z(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**2\/5 + 48*x - 2880 = 0.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -226*m + 66 - 1385*m - 33 - 33.\nAnswer: -1611*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 8*l**3 - 2*l**2 - 2. Suppose 0 = -s - 1, -o - 3*s - 3 = 2*s. Let p be h(o). Calculate the highest common divisor of p and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**2 - 2. Suppose 3*i - 12 + 0 = 0. Suppose -x + i - 6 = 0. Calculate q(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-6*sqrt(76)*-4)\/(sqrt(40)\/(sqrt(10) - sqrt(40)*-3)).\nAnswer: -168*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 40\/342 - 4\/18. Let d = k + -13\/57. Suppose -3*r + 9 = 0, -3*r = -4*j - 2*r + 1. What is the nearest to j in 1\/3, -4, d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.011? (a) -20 (b) 33 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 12*u. Let p(a) = 8*a + 34. Let s be p(-4). Suppose -s = -9*x + 7*x. Calculate f(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence id when two letters picked without replacement from {p: 1, m: 1, w: 1, d: 1, i: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0082 less than -0.0236?\nAnswer: -0.0318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -134\/35 - -24\/7. What is the third biggest value in 5, 0.1, 2, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -27, 0, -7 in ascending order.\nAnswer: -27, -7, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 903994193.14 and -0.06.\nAnswer: 903994193.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 4*l**2 + 2. Let z be q(-3). Let m be 12\/(z - -4) + 195. Suppose m = 6*u + 41. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 137*h**2. Let n(u) = 66*u**2. What is n(i(k))?\nAnswer: 1238754*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*h - 66 = -213*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrkrrr. Give prob of sequence rrk.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -120 - 74. Let i = -1368\/7 - h. Suppose 4*g - 2*c + 4 = -6*c, 5*c - 15 = 5*g. Are g and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -7853*u**3 - 12*u**2 - 5*u - 8. Let y be r(-8). What is y rounded to the nearest 100000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 times -29\nAnswer: 2.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**2\/5 - 2520386*n\/5 - 1588086397249\/5 = 0.\nAnswer: -1260193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 197*n**2 + 7*n + 1370. Calculate j(-197).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.08649 * 824\nAnswer: 71.26776","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6, -25, -54, -99, -166, -261, -390?\n\"Answer: -b**3 + b**2 - 15*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 21 = 4*a - u, -5*a - 27 = -2*u for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 13, 3 in decreasing order.\nAnswer: 13, 9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - 75\/(-35))\/((-16)\/28). What is the closest to 2 in -0.23, p, -0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 235892?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.158884 - 5.\nAnswer: -5.158884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u - u**3 - 8*u**2 - 4*u + 10 - 4. What is z(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 1, 5*s + 5845 = 5*x + 1075. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1336 + 9349\/7. What is the second smallest value in -2, t, -1470?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 11*b + 10. Let i be a(12). Let f = i - 252. Let s = f - 2. Round s to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 761895879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/((y\/(y*y**6))\/y)*y)\/y)\/y)\/y)\/y**(-3\/2)*y**(-2\/3)*y**3*y*((y\/(y*y**(-1\/5)))\/(y**(-2)\/y*y))**14 assuming y is positive.\nAnswer: y**(1249\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10164 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 5*w - 3*w)*(-w**2 + 2*w**3 + w**2)*(-20*w - 72 + 72).\nAnswer: -40*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 210 divide 2520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -2137660.\nAnswer: -2137663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 - (-6 + 6)) + -3. Suppose -3*w + 3*z = r*w - 2290, 0 = w - 5*z - 458. What are the prime factors of w?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 8:33 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 251162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 209344 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, v: 1, l: 1, b: 1, w: 8, x: 1}. Give prob of picking 1 w and 1 l.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 128\/(-56) + (-90)\/(-21). Determine z, given that -8\/7 - 16\/7*z**h + 4\/7*z**3 + 20\/7*z = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/1327455 and -33\/20.\nAnswer: 5309820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 371.\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 157426 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 2, 4, 1.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126171 is divided by 2804?\nAnswer: 2795","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1708*0.02\nAnswer: -34.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -829, -1663, -2497, -3331, -4165, -4999?\nAnswer: -5833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 11*n - 5 + 2 - 19 + 46*n to the form k*n + h and give h.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 890 or 888?\nAnswer: 890","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, -23, 2\/15, 3?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*y - 17*y**2 + 19*y**2 - 3*y - 284*y**3 - 203 - 42*y**3 wrt y?\nAnswer: -1956","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 + -10. Suppose -2*l = -27 - a. List the prime factors of l.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 25. Let l be (1 + 116\/(-108))*s. Which is greater: l or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10101000000010 (base 2) in base 11?\nAnswer: -8097","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2360?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -90*j**5 - 642*j**3 - 77*j - 87*j**5 - 89*j**5 - 6 + 264*j**5 wrt j.\nAnswer: -40*j**3 - 3852*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1102822?\nAnswer: 2, 7, 37, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 377626, 755251, 1132876, 1510501, 1888126?\nAnswer: 2265751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2021633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 6 + 5)*(10*u + 9 - 9)*(-u + u**2 + u) + (u + u + 0*u)*(2*u**2 - u**2 - 3*u**2).\nAnswer: 26*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, b: 2, d: 1, i: 6, z: 1, k: 4}. Give prob of sequence zzdb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 7 = x - 0*c, -c - 13 = 5*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-120)\/72*261\/29.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from cccccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -0.54 (b) -2 (c) -7\/16 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 295 = -5*i + 382, -x - 69 = -4*i. Calculate the smallest common multiple of i and 5608.\nAnswer: 50472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 340, -3, 2 in decreasing order.\nAnswer: 340, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*r - 24*r - 32 = 0. Let d be 9\/4 - 24\/r. Suppose -3*o = -n + 410, 3*n - o - 1175 = -d*o. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44104, -43973, -43762, -43477, -43124, -42709, -42238?\nAnswer: -41717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10272808.\nAnswer: 2, 7, 13, 103, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*p + 5*b = 93*p + 14, 3*b - 6 = 3*p. Let n(z) be the first derivative of 1\/3*z**3 - z - 4 + 0*z**p. What is s in n(s) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 7:59 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10 - (-40)\/(7 + -12). Solve -b - 4 = p, 5*p - c*b + 11 = -9 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*z + 3*z + 2*z - 3*z + 5*z + z + (3 + z - 3)*(1 - 2 + 0) + 1 - 1 + z)*(0 - z + 0).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h - 14 + 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 185\/35 + (-2)\/7. Suppose 5*h - 4 = 3*h - 2*u, -10 = -j*h - 3*u. Solve h*y - 6 = 2 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 23547\/4509 + ((-14)\/(-18) - 1). Solve -26 = 4*c - 2*b, -8 + 33 = z*b for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25 and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -3) + -19 + 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 + 80 = 2*f + 14*y + 10*y, 78*f + 2*y - 448 = -10*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l + 92 - 80 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 8:07 PM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 13*g**2 - g - 2. Let v be p(-9). Let s be 3*-1*v\/15. Let q be 1\/6 - s\/24. What is the greatest common factor of 72 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*j - c + 19, 0 = 3*j - 4*c + 14. Suppose j*y + 7*m = 2*m + 9, -5*y + 2*m + 8 = 0. Suppose 6*h = y*h + 108. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 4*a**2 + 3*a. Let s be o(-3). Suppose -k = -q - 4 - 5, s = -k + 3*q + 5. Let h = k - -27. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**2. Let l(k) = -25320240*k. What is l(c(z))?\nAnswer: -50640480*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9062898?\nAnswer: 2, 3, 13, 116191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 27. Suppose 0 = 4*g + 3 - 15. Suppose g*r - 2*j + 3*j - 14 = 0, -10 = -r - 3*j. Calculate the highest common divisor of r and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2572*d - 2 + 2563*d - 2*d**2 + 5*d**2 + 8*d**3 + 0*d**2 - 2*d**4 in the form g*d**2 + f*d + w*d**3 + s + a*d**4 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - -4. Let x be (6 + -3)\/((-3)\/n). List the prime factors of 0 + -2 + 0 - x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3403*p**2*r**3 + 32871*p**2*r**2 + 6*p*r**3 + 127*p + 2*r**3 - 34*r**2 - 53 wrt p.\nAnswer: -6806*r**3 + 65742*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(19) + 2 + -5).\nAnswer: -18 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-nine halves of a century?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 18 (b) -398 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 958591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-2\/17))**(-30)\/(o**(-2\/63)\/o*o**(-12)*o))**(-1\/17) assuming o is positive.\nAnswer: o**(15464\/18207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*o**2 - 4*o**2 + 2*o**2 + (o + o - 4*o)*(2*o - 2*o - 2*o))*(-1 - 3 - 5).\nAnswer: 135*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 - 2*f**2 + (2*f - 3*f**2 - 42 + 42)*(26 - 28 + 23) to the form w + a*f**2 + b*f and give b.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one tenth of a millennium?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 209020390 to the nearest integer?\nAnswer: 593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(-15)\/2325*2?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 192696 or 192693?\nAnswer: 192696","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 223513084?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 8:23 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2949 and 0.3?\nAnswer: 2948.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -41 - -40. Let f be 3\/(-2) - 7\/((-630)\/155). What is the biggest value in 0, f, q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -834726, -1669620, -2504514, -3339408?\n\"Answer: -834894*q + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 34*r**3 + r**2 + 5*r + 9. Let j(o) = -35*o**3 - 2*o**2 - 6*o - 10. Let y(f) = -5*j(f) - 6*t(f). Find the third derivative of y(n) wrt n.\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 169 - 170. Let f(z) = -z - 1. Let c(b) = b**2 + b + 3. What is k*f(l) - c(l)?\nAnswer: -l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.495 - 0.5. What is m rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-8)\/4)\/(-4))\/(-3).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 10*y**2. Let h = 9 + -9. Suppose h = 4*m - 12. Let n(c) = -86*c + m*c**2 + 86*c. Give n(k(v)).\nAnswer: 300*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.99, -3\/2, -34, -0.5 in decreasing order.\nAnswer: 0.99, -0.5, -3\/2, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.43 + 7.8. Let z = u + -1.4. Which is the nearest to -1? (a) -4 (b) 1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/3*-2)\/((14112\/140)\/(-36)).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r + 1. Let n be j(-2). What is the derivative of 9 - n + 2 + 18*z**4 wrt z?\nAnswer: 72*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.08907 + 0.38907. Let w be (1 - 0) + -1 + 1. What is the third smallest value in 4, w, x?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v - 5 = 23 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3 = 4*o, 3*f - 23 = 5*o + 19. Let p be 8\/(-6)*f\/(-6). Suppose 0 = -4*d + p*d, g = -3*d + 6. Calculate the greatest common factor of g and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 5)*(-y + 0*y + 3*y) - 4*y + 0*y + 3*y + (3 - 4 + 3)*(-2*y - y + y) - 2*y - y + 5*y + 5*y - 2*y - 4*y + (3*y + 0*y - 5*y)*(-3 + 2 + 2).\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - w - 4*i - 8 = 0, 2*w + 8 = -4*i. Suppose w*a = -3*a + 15. Find the third derivative of l**5 + 4*l**5 - 7*l**a - l**2 wrt l.\nAnswer: -120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**2 - 3*z**2 + 11*z**2.\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 59117 + -59118. Let o(f) = 7*f - 7. Let q be o(6). Let d(x) = -x - 1. Let w(n) = -42*n - 35. Give q*d(v) + z*w(v).\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.8 - 0.8. Let t = -1.766 - -1.366. What is the smallest value in 3\/7, m, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1439 is divided by 710?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - k - 2*k**3 + 10*k**4 - 23*k**4 + 2*k**2 + 0 + 14*k**4 to w*k**3 + d*k + f*k**2 + x*k**4 + j and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 19, -1, 8, 5, 0.243 in ascending order.\nAnswer: -1, 0.1, 0.243, 5, 8, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 6:27 PM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 52\/5, -5, -0.5, -1, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 86 in -1.1, -0.02, -1, 21, -2\/3?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -162\/1459 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -59 + 99. Suppose 4*m + 12 = -4. Calculate the remainder when v is divided by (32\/(-56))\/(4\/392*m).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 3:03 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 54 - s**2 + 21 - s**2 + 3*s**2 + 9201*s**3 - 76 in the form q*s**2 + j*s**3 + a + w*s and give j.\nAnswer: 9201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 2, -510 in increasing order.\nAnswer: -510, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/(-30)*(-2 + -6 - 109) and 39\/81*-3*5.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2543913 is divided by 847965.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 322610559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 90794, 181601, 272408, 363215, 454022?\n\"Answer: 90807*q - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, h: 4}. What is prob of picking 1 h and 2 b?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m + 1 - 3*m - 2*m + 3*m**2 + m**2 + 0*m**2. Let r be h(2). Solve 0 = -r*y + 6*y + 6*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*c - 10*c + 918. Let u be -4 + c\/81 + (-10)\/9. Suppose -i = 4, 3*y - i = 7*y - 8. What is the closest to 2\/7 in 1\/8, u, y?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 7:58 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -5. List the prime factors of (-1)\/(r\/(-15))*1.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.266738 years in millennia?\nAnswer: 0.000266738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 324*q**2 - 356*q**2 + 2*q - 2*q.\nAnswer: -32*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, y: 2, r: 1, i: 7}. What is prob of picking 1 l and 1 r?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q - 5*q - 2*q + (-2 - 1 + 4)*(3 - 3 + q) - 3*q + 5*q + q)*(0*q - 2*q - q).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**2 + 107 - 253 - i**2 + 46 + 18*i + 34. Determine q(-21).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 18*n + 25. Let k be o(18). Let j = 44 - k. Let w = 28 - j. Solve 0*h = 3*h - w for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 3*l - 210, -3*l + g = -206 + 14. Let x = l - 45. Suppose -2*n + x = 2*n. Solve -j - 5 = -5*q - 6*j, -4*j + 5 = n*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/20 + 2\/(-10))*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10237 and 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/9)\/((15\/2)\/(-5)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-10)*a)\/a)\/(a*a*a\/a**(-8\/5))*(a\/(a**5*a*a)*a)**(1\/11) assuming a is positive.\nAnswer: a**(-773\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5212353.\nAnswer: 3, 17, 102203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 2*m + 4, 0 = 5*z + m + m + 12. Calculate the remainder when (-24 + z)\/(2\/(-3)) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 9*f - 6. Let i be p(-7). Let h(w) = -3 + i - 3*w + 2*w**2 + 10*w - w**2. Give h(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -1615*d + 138892. Give z(86).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -6*z**3\/7 + 522*z**2\/7 - 480*z = 0.\nAnswer: 0, 7, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 - (-12 - -21)*-1. Solve -5 = -t, -11*t + 10 = h*q - 6*t for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 6144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (93\/(-3) - -1)*4\/(-12). Let y be (1*3*-1)\/(-1). Let q = w - y. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, r: 2, u: 1, m: 2, s: 3, z: 3}. Give prob of sequence xux.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1155)\/(-70) - (-3)\/2 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.463 to two dps.\nAnswer: 1.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 5\/5*(-3 + 0)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 123363 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yvvfyyvfpyvykkksyk. Give prob of sequence vyyk.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8 + -8 - -1*5. Suppose -7 = -m*f + 8. Suppose 2*b - 3*a = -5, 5*a = 5*b + 2 + 3. Is b at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32664.\nAnswer: 2, 3, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -8096*z**2 + 4*z + 6. Let r(v) = -17544034*v**2 + 8670*v + 13005. Give 4335*p(m) - 2*r(m).\nAnswer: -8092*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 35*j**2 + 1448*j + 11329. What is q(-31)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and -3747?\nAnswer: 3746.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 24*y**2 - 37. Let s(p) = -25*p**2 + 37. Let w(i) = -2*b(i) - 3*s(i). What is the derivative of w(l) wrt l?\nAnswer: 54*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2430\/(-56))\/(-9)*(-301)\/(-774)?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - 4 - -2 - 11. Let c(w) = -w**3 - 9*w**2 + 23*w - 6. Let r be c(g). Let -4 - 2*q**3 + 10*q - r*q**2 + 148*q**2 - 2 = 0. What is q?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 62?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1780 - -882. Let k = -634 - i. Suppose f - 41 = -4*j, -k = -2*f - 2*f + 4*j. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 0*x - 2*x + (2 + 3 - 6)*(0*x - x + 0*x))*(-3 + 3 - 11*x)*(-3 + 4 + 1).\nAnswer: 22*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.04 (b) 0.6 (c) -0.37 (d) 0.3 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -187 + 280. Let b = -85 + g. Solve 4*s = b*s - 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2*x + 54 - 38 = 0, -4*x = -5*t + 7. Let g(l) = l**3 - 2*l**2 - 5*l - 1. Calculate g(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f = d - 12 + 39, -5*f + 9 = -4*d for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*u + 7*u + 6. Suppose u*c - x - 3*x + 6 = 0, 0 = 3*c + 5*x - 46. Calculate the greatest common factor of 98 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 + -0.19998679. What is m rounded to 6 decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.3, 5, 121?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 24 = 4*d, 2 = 4*u - 3*d + 12. Find the common denominator of 47\/16 and (-1)\/(-24)*402\/u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -29 (b) -83 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24912 and 144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34322, -69673, -106022, -143363, -181690, -220997, -261278, -302527?\nAnswer: -344738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -6. Suppose 12*n + 25 = 17*n, -2*x - 1 = n. Which is the nearest to 2\/9? (a) x (b) w (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 8806.768 decades?\nAnswer: 88.06768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59530448.\nAnswer: 2, 53, 70201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1498 and 70?\nAnswer: 7490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22.8 - -22.4. Which is the nearest to -0.2? (a) x (b) 61 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*q**3 - 9*q**3 - 11*q**3 - 14*q**3 + 2*q - 3.\nAnswer: 3*q**3 + 2*q - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 620934, 621088, 621240, 621390, 621538, 621684, 621828?\n\"Answer: -x**2 + 157*x + 620778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 11:54 AM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42059406.00000002 + -42059407. Let u = -1.7 + 0.7. Let j = u - l. What is j rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (0 + (-24 - -7)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8 (b) 1\/12928 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 79299301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 - 1 + 3)*(h - 2 + 2) - 3*h + 4*h - 2*h)*(10 - 10 - 65).\nAnswer: 195*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 + -18. Let i be (-64)\/(-40)*z\/4. Solve 0*l + 4 = i*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3*d + 54 = 0, 8 + 4 = 2*g + 2*d. Let h = g + -9. Suppose -15 + h = -j. Calculate the remainder when j is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/4*188\/12 and -4*4\/192*531\/(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -u - 6*u**3 + 4*u - 3*u + 1 in the form p*u**3 + w*u**2 + v + f*u and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 2.6?\nAnswer: 0.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170520 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of r**6\/18 - 26*r**5\/5 + 77*r**4\/12 - 131. Factor z(d).\nAnswer: d**3*(d - 77)*(d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -12, -4, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*c - 72 = -60*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*t**3*u**3 - 2*t**3*u + 5*t**2*u + 25*u**4 - 41*u wrt u?\nAnswer: 66*t**3*u + 300*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 7*g**2 + g - 9. Let a be (1*2\/(-8))\/((-2)\/56). Let c be h(a). Let o be (c + 0)*(-9)\/6. Solve m = -0*m - o, v = -5*m - 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 9*u**2 + 6*u + 20. Let t be f(8). Let q(x) = -2*x**3 + 10*x**2 - 16*x. What is q(t)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 105 (b) -12\/7 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1313009 (b) 16\/13 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (15\/6)\/(2\/64). Suppose 3*d + x = 4*u, 0*u - 60 = -3*u - 4*d. Is 5 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + 9*p - 4. Let m be w(8). Suppose 0 = 8*z - m*z - 428. Suppose 0 = 111*r - z*r - 56. What is the lowest common multiple of r and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2\/5 + 108*d\/5 - 96.\nAnswer: 3*(d - 4)*(d + 40)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84890 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l - 5. Let t be y(11). Let i(g) = 2*g - g**2 - 2*g + t*g + 4 + 2. Give i(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - x - 2. Let j(q) = -5*q**2 - 8*q - 7. Let c(f) = -6*j(f) + 30*u(f). Let t(y) = -17*y**2 - 5*y + 5. Determine 5*c(v) + 18*t(v).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, f: 4}. What is prob of sequence sff?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 4:06 AM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 6*u + 9*u + 63 = 0, -2*u - 8 = 0. Calculate the remainder when x is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 369*l - 364*l - 150. Solve 220*u - 225*u = -l for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 27*v**2 + v - 2. Suppose -n - 5*x = 18, -3*x + 0 = 5*n + 2. Is 27 a factor of a(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 28 + 16 = 6*x, 2*j - 8 = 4*x for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4*0.17252202\nAnswer: -0.69008808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-five sixths of a decade?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 9*q - 16. What is a(12)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 278, 1\/11, -85\/4?\nAnswer: 278","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -7. Let t = -3 - -7. Let m = r + t. What is the least common multiple of 16 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r, 1 d, and 1 t when four letters picked without replacement from rcrttd.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 331343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -19108 minus -9432?\nAnswer: -9676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43.962 + 0.038. Let t = -43.6 + r. Sort 0, t, -0.5 in descending order.\nAnswer: t, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f + 4*f**3 + 47*f**4 + 55*f**4 + 15*f**4 + 2*f**2 + 17 - 118*f**4 to q*f**3 + n*f**4 + c*f + r + j*f**2 and give r.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1269, 2524, 3767, 5010, 6265, 7544?\nAnswer: 8859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbi when three letters picked without replacement from ibzzzzzzzzzzbzzzz?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 3252, 2 in increasing order.\nAnswer: -2, 2, 3, 3252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**2. Let a(c) = -141*c - 7. Calculate h(a(b)).\nAnswer: 39762*b**2 + 3948*b + 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 6*a - 1. Suppose 4*n + 37 = 53. Suppose -n*c = -11*c + 35. Let k(r) = 5*r - 1. Determine c*k(t) - 4*f(t).\nAnswer: t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10570 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -13067?\nAnswer: 65335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 19*l + 3. Let o be n(-19). Let z(y) = 2*y - 5. Let v(p) = p - 4. Give o*v(u) - 2*z(u).\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v - 3. Let y be t(2). Suppose j - 16 = 3*c, -2*c = -2*j + 3*j - y. Let h = j + 3. Does 5 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of 0 + 0*o**7 + 0*o + 2*o**2 + 1\/336*o**8 + 7\/30*o**5 + 0*o**3 + 0*o**4 + 0*o**6. Find the third derivative of b(w) wrt w.\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(130) + sqrt(130) + sqrt(130) + (sqrt(130) - 5*1*sqrt(130)) + sqrt(130))*-2)\/(((sqrt(360) - (sqrt(360)*-1 + sqrt(360))) + sqrt(360))*-2))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -5*k - 5*n + 3286, 3*n - 1309 = -2*k. List the prime factors of k.\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34 - 36. Is 18 a factor of 4*(1452\/(-36))\/(v\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 0*o = 2 + 6, 2*t + 4*t + o = 5*t - 37 for t.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 934, -0.5 in decreasing order.\nAnswer: 934, -0.5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v + 26. Suppose 5*r - 39 - 6 = 0. What is the remainder when j(r) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1 - (-6 + 7)) + 442\/2 is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15771\/1366 - 118005731\/10226559. Calculate the common denominator of 97\/4 and d.\nAnswer: 59892","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -2. Let g = 5.89 + 0.11. Let f = 4 - g. Sort f, -1\/5, c.\nAnswer: f, -1\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 3*i = 15, -i = m - 7 - 6. Calculate the remainder when 35 is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.3, -708, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*v + 16 = 100. Solve 5*d = v*d - 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**13\/a**(3\/5))\/(a**3\/a)**18)**(-25\/4) assuming a is positive.\nAnswer: a**(295\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**2 - 73*t - 103. Let p be s(-35). Solve 0 = p*x - 61 + 51 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iizfmiododdmm. Give prob of picking 1 o, 1 i, and 1 z.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r + 17. Suppose -4*f + 26 = 5*g, 3*f - f - 24 = 3*g. Let d be i(f). Is (-6)\/(-6 + 0)*(d + 480) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 286 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q = q + 24 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 720 and 99250524?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -74*v**2*w**3 - 8036*v**2*w + v**2 + 2*v*w**3 - 413962*w**3 + 4679*w**2 wrt w.\nAnswer: -444*v**2 + 12*v - 2483772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/6, -1, -71?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -7 + 3*i - 2*i - 4*i. Suppose j - 87 = 12. Let w = -104 + j. What is k(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 2\/13, 1\/7, -4, 112, 15\/7?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1067 is divided by 89?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.95775 weeks in milliseconds?\nAnswer: 50172847200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*y**3 + 2*y**3 - y**4 - y**3 + 7*y**3 + y**2 as q*y**3 + t*y + s + h*y**4 + u*y**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4650.857 milliseconds in microseconds?\nAnswer: 4650857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.2, 7, 5, -0.1 in descending order.\nAnswer: 7, 5, 1, -0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-28))\/(6\/16*-1)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 190.3061ng?\nAnswer: 0.0000001903061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 555.062 milligrams to tonnes.\nAnswer: 0.000000555062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4*r = -16, -4*j + 5*r - 8 - 12 = 0. Find the second derivative of b**5 - 5*b**2 + j*b - 12*b + 5*b**2 wrt b.\nAnswer: 20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67908500 rounded to the nearest one million?\nAnswer: -68000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**5\/3 + 364*t**4\/3 + 5398*t**3 - 33488*t**2\/3 + 16928*t\/3.\nAnswer: 2*t*(t - 1)**2*(t + 92)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + (-4)\/(-10))*(-780)\/117. Let v = -28 - -72. Calculate the highest common factor of v and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 154\/(-132)*-3*4\/21.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13877 = 7*b - 42445. Let o = -32345\/4 + b. Is o at least -41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 2*h - 457, 0 = -2*h - 8*r + 4*r + 450. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**3 - 10*d**5 + 4*d**5 - 3*d**3 + (-51*d**3 + 12*d**3 - 36*d**3)*(d**2 + 8*d**2 - 7*d**2) - 4*d**5 + d**5 + 2*d**5.\nAnswer: -157*d**5 - 2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of 2*q**6\/5 + q**5\/30 - q**4\/24 + 7*q**2. What is the remainder when 7 - (0 - 623\/7) is divided by r(1)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -52 + 26 + 24 + 6*p. Let i(s) = 2*s. Calculate i(l(r)).\nAnswer: 12*r - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13849131953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 3:28 AM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 24*m. Let q(y) = 1489821*y**2. What is q(c(a))?\nAnswer: 858136896*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -52*i + 48*i + 2*g, 48 = -9*i + 5*g for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 10, -1 in descending order.\nAnswer: 10, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.1 + -3. Let s be ((1 - 2) + 2)*(7 + -11). Let k be 1\/3 - (s + (-204)\/(-18)). Are f and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1024471856?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g. Let v(p) = 3*p - 3. Let y(a) = a - 1. Let c(s) = -3*v(s) + 8*y(s). Let o(m) = -12*m + 6. Let w(r) = 6*c(r) - o(r). Calculate q(w(k)).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**3 - 3*p**3 + p**3 + p**4 + 118 - 124 - p**2 as x*p**3 + m + n*p**4 + r*p**2 + f*p and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/8)\/(((-56)\/(-8))\/28)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*f - 24*f + 1971 = 0. Let u = 34 - f. Does 23 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3*(sqrt(4) + (sqrt(4) - sqrt(144)\/sqrt(9)) + sqrt(4))*-4)\/(sqrt(18)\/(sqrt(36)\/sqrt(4)) - (sqrt(162) + (3*sqrt(162) - sqrt(162)))).\nAnswer: 24*sqrt(2)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 71801 to the power of 1\/2, to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -403, -794, -1171, -1528, -1859, -2158, -2419?\n\"Answer: n**3 + n**2 - 401*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 29, -1 in ascending order.\nAnswer: -1, 7, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 214, 320, 440, 580, 746, 944, 1180, 1460?\nAnswer: 1790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -875.25 + 888. Let p = q - -44.35. Round p to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149950.\nAnswer: 2, 5, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(11) - sqrt(44)\/sqrt(4)) + 2 - (sqrt(55)\/(sqrt(5) + sqrt(45) - sqrt(5)) - sqrt(11))*1)**2.\nAnswer: 8*sqrt(11)\/3 + 80\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3 - 110*o**2\/3 + 76*o\/3.\nAnswer: -2*o*(o + 19)*(3*o - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 4, 13, 5314 in decreasing order.\nAnswer: 5314, 13, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 3\/4 (c) 13999 (d) -2 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, 0.4, -11, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202257?\nAnswer: 3, 11, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 118 + -83. Let r = 38 - s. Suppose b - 38 = -4*u, -u = -r*b - 2*b + 232. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2611, -5216, -7825, -10438, -13055, -15676, -18301?\n\"Answer: -2*c**2 - 2599*c - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 18*a**2 - 5*a + 5. Let i(t) = 44*t**2 - 12*t + 12. Suppose 0*z - 95 = 19*z. Let j(n) = z*i(n) + 12*c(n). Let s(u) = -2*u. Calculate j(s(k)).\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 9*o**2 - 43*o - 18. Give x(4).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.3, -1, 743?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 1291595\nAnswer: -6457975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of -7*y**5\/6 + 44*y**3\/3 + 3*y**2 + 2. Find the first derivative of x(a) wrt a.\nAnswer: -140*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-4))\/(1\/2). Let s = 21 - -11. Let x = s + -20. Solve -v*b = -7*b - x for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 12 = -4*t + 2*w, -3*t = 4*w - 9. Let j(c) = t*c - 2*c**2 + 1 - 3 + 3*c**2. What is the units digit of j(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 3) + (0 - -5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(3) - -4*sqrt(3))*-4)**2 - (sqrt(75) - sqrt(75)*-3*-4).\nAnswer: 55*sqrt(3) + 1198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 2:09 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of 1\/20*m**6 + 0*m**3 + 3\/40*m**5 - 1\/28*m**7 + 0 - 1\/8*m**4 + 0*m**2 + 8*m. Factor a(p).\nAnswer: -3*p**2*(p - 1)**2*(p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 218*y - 314*y - 2460672. Round y to the nearest 100.\nAnswer: -25600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.84 - 18.16. Let r = 1 - 0.6. Let k = 0.1 - r. Which is the fourth biggest value? (a) k (b) -1 (c) s (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.5801984 to 3 decimal places.\nAnswer: -15.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 6, w: 6, i: 2, a: 3, b: 1}. Give prob of sequence iwwb.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*d**2 + 849 - 6*d**2 + 842 - 3380 + 844 + 839.\nAnswer: 7*d**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, 27.7, -296, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/36756 and 45\/2042.\nAnswer: 36756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + (6 - 2\/1). What is the smallest value in -1, 1, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4320 and 252?\nAnswer: 30240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 7. Let r(q) = -q**3 + q**2 + 2*q + 6. Let g = -1840 + 1847. Let b(t) = 2*t**3 - 2*t**2 - 3*t - 13. Let i(j) = a*b(j) + g*r(j). Factor i(f).\nAnswer: -(f - 3)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -591 - 72*k + 1157 - 564 - 63*k.\nAnswer: -135*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(408)\/sqrt(108) - sqrt(34)) + sqrt(34))\/sqrt(162).\nAnswer: sqrt(17)\/27 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49 + -16. Let c be 28\/(-6)*(-1 - (-4079)\/(-7)). What are the prime factors of (-3 - f\/(-9)) + c\/18?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 7:22 AM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5, -0.5, 83, -2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 63 (b) 15573 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 1 + -11 + 112 + -104.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -19*n + 26. Let j(g) = -19*g + 25. Let a(i) = -4*j(i) + 3*w(i). Let c(o) = 9*o - 11. Let m(l) = 4*a(l) - 9*c(l). Differentiate m(v) wrt v.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*n**4\/2 + 123*n**3\/2 - 249*n**2 + 234*n + 108 = 0. Calculate n.\nAnswer: -1\/3, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 10*a + 36 = 0. Let u be 4 - (a - 87\/(-12)). Is 1\/16 less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10592900?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5584, 5178, 4576, 3778, 2784, 1594?\nAnswer: 208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 568 is divided by 357?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1520.869 times 0.2?\nAnswer: 304.1738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in months?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 4 + 19 = 0, -3*h = -3*t - 1971. Calculate the smallest common multiple of 594 and h.\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h*v**3 + 254*h*v**2 - 48946*h*v - 3*v**4 wrt v.\nAnswer: -12*h*v + 508*h - 36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3461 + 3648. Calculate the highest common factor of u and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g - 211 + 31 = 0. Suppose 3*y + 2*h = 88, -2 = h - 2*h. What is the remainder when y is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -5*c - 2*t, -2*c + 3*t - 16 = -56. What is the highest common factor of c and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3*l**2 - 16*l + 19. Let t be a(-6). Solve b + 6*u - t = 2*u, 3*u - 3 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 3*m - 8 - 6 + 18.\nAnswer: -3*m + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*x + 68*x = 16*x + 5249618. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 4 - -17 - (-1 + 0 - -20).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3, -15, -35, -63?\n\"Answer: -4*z**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 6:24 AM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-613 - 1215 - 1893 + 654)*(-3*o - 2*o - 2*o) + 2*o + 0*o - 3*o.\nAnswer: 21468*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27834 is divided by 62?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i + 7. What is q(-17)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 0.593.\nAnswer: 1.186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(154) + sqrt(154)*-1 + sqrt(154))*-6)\/(sqrt(44)*2))\/(-5*(1*sqrt(588))\/sqrt(6)) + 5.\nAnswer: 3*sqrt(7)\/70 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-130)\/240)\/((-260)\/30).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2 + -33)*(-2 + 0) is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1456 divided by 1.\nAnswer: 1456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 202389231 to the nearest integer?\nAnswer: 14226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-903009)\/3 - (1 - 4). Round p to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/13)\/(354\/9204).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -940.39975 + 940. Let n = -8.6 - -9. Let k = h + n. What is k rounded to 5 decimal places?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*y - 336 = -7 + 70 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001000 + 100001101100010?\nAnswer: 100001001011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 390629?\nAnswer: 577, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 400074\/54 - (-32)\/144.\nAnswer: 31, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -2*d. Let b be (-5 - -4)*(2 - d). Let h be b\/10 - 6\/70. Is 0 bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w = -1127 + 1092 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t + 5. Let p(a) = a**3 + 7*a**2 + 3*a + 17. Let x be p(-7). Give d(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 21*w**2 - 502*w - 85. Calculate p(23).\nAnswer: -522","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3806?\nAnswer: 2, 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of 5*l**4\/24 + l**3\/6 - 2*l**2. Let p be f(11). Suppose -t + p = 14. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*l**3 + 63832 - 63832 - 6*l**3.\nAnswer: 7*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w + 2 - 3*w + 2*w. Let i be 64\/(-28) + (-2)\/(-7). What is the units digit of d(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2 + sqrt(11))*-4 - ((sqrt(22)*1)\/sqrt(2)*5)**2)*-5.\nAnswer: -60*sqrt(11) + 1495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/4)\/((-1)\/(-6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 61*j**5 + 81*j?\nAnswer: 1220*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 3*f = -16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -3*j - 1512, j - 705 = -5*f + 811. What are the prime factors of f?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 0*v = 2*p - 9, 0 = 5*v + 4*p - 15. Let m = 1.7 + 3.3. Does m = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 6 = 2*t, -l - 11 = -5*t. Let k(o) = -10*o**2 + 2*o + 1. Give k(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -144*l. Let w(j) = -j**2 - j - 109776. What is w(o(k))?\nAnswer: -20736*k**2 + 144*k - 109776","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 215 in -3\/8, 0.2, -0.3, 0.041?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 5) to base 6.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 759300989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8040 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/19175982 and -3?\nAnswer: 19175982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 86\/(-301)*((-2240)\/36)\/(-16)?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 2, 138, -0.08?\nAnswer: 138","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -174 + 177. Suppose d*q = -x + 84, q - 4*x - 38 = -x. Let y = -150 - -237. What is the highest common divisor of y and q?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) 1.6 (c) 178\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -32. Let n = 14.97 - u. Let z = -3.97 + n. What is the third biggest value in -0.2, z, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, y: 2, t: 5, h: 1, l: 1, b: 7}. Give prob of picking 1 h and 2 y.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 - (-45)\/(-6)*12730\/1005.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -227337.12 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -u**3*v**2 + u**3*v - 8684*u**2*v**3 + 8*u**2*v + 21*u*v - 4*v**3 - 25*v wrt v.\nAnswer: -2*u**3 - 52104*u**2*v - 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -149*b + 287. Give n(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus 4947509.436?\nAnswer: 4947508.436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 540 a factor of 25454520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/1627324 and 13\/19527888.\nAnswer: 19527888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*m - 1532139 = 975823. List the prime factors of m.\nAnswer: 19, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x**3 + 107 + 6*x**3 + 3*x**3 - 107 + 0*x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i**2. Let u = 4680 + -4678. Let l(p) be the second derivative of 3\/2*p**3 + 0*p**u + 3 + 7*p. Calculate l(w(q)).\nAnswer: 27*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a century in months?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 561 + -594 + 48 + -2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -7*r**6\/720 - r**5\/12 + r**4\/12 + r. Let f(l) be the third derivative of v(l). Is 16 a factor of f(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187*h - 68 = 170*h. Solve 3*t + 11*j = 6*j - 28, j = t - h for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 113 + -81. Suppose 3*p + 4*b = -3, -4*p + 4*b - 8 = -q. Suppose p*u = 15 + 9. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 15) to base 12\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f - f = -13*f. What is the closest to f in 0.03, 0.5, -0.05?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.89 equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -3*q, 5*z - 5*z = -z. Suppose -2*x = -5*x + 3*u + 1209, q = -x - 3*u + 415. Is 7 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 4, -7, -198989, -5 in descending order.\nAnswer: 15, 4, -5, -7, -198989","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 6*t**2 + 10*t + 6. Let g be r(-4). List the prime factors of (32\/48)\/(g\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*w - 71*w - 7 = k, k + 8 = -3*w for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/32701, 10.2, 0 in descending order.\nAnswer: 10.2, 0, -2\/32701","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 5536797?\nAnswer: 60904767","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*t + 12*t - 1108 + 156 = 0. Let v be (-2)\/(-8) + (-2)\/8. Put v, t, -2 in descending order.\nAnswer: v, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (99 - 107) + 0 + 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-48 + 7) - 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x**2 - 2177648*x + 10*x**2 + 2177648*x - 9*x**2 - x**3 + 5*x**2.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/2)\/((-108)\/8)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 201020092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 10:40 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 14, -37 in ascending order.\nAnswer: -37, -5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 657 divided by 2076\nAnswer: 219\/692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -6\/226469 and 121\/48.\nAnswer: 10870512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1408\/110)\/(8\/(-20)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/665275 and 27\/194350.\nAnswer: 17297150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 0 + (-5)\/((-5)\/8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 6*y**2 - y - 2. Let w be u(-5). Let b be (-11)\/((-77)\/60)*w. Let d = b + -171. Is d a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 272681 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/18*-3*(0 + 1\/(-80)). Which is the nearest to -1? (a) 4 (b) s (c) 3 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from goihhoiixieighi?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*1*sqrt(99)*6*5 + -1)*-3)**2.\nAnswer: 3240*sqrt(11) + 3207609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/18 and 79\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16.38 - -0.42. Let v = f - 17. What is the third smallest value in -1\/10, v, -3\/8?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**22\/(z*z**(-1\/15)) assuming z is positive.\nAnswer: z**(316\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 14*m = -0*m. Solve m = y + 4*y - 15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - (1 - 13)) + -8 - -70\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -216 divided by 3553627\nAnswer: -216\/3553627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1497565 to the nearest integer?\nAnswer: 1224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 - l**2 - 2*l**3)*(-l + l + l**2) + 3*l**2 - 3*l**5 - 3*l**2 - l**5 - l + l + 4*l - 4*l - 2*l**5.\nAnswer: -8*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j - 17. Let q be h(18). Let z(a) = -5*a**3 + 3*a**2 + 2*a - 3. Let s(i) = 11*i**3 - 7*i**2 - 5*i + 7. Let v(d) = -2*s(d) - 5*z(d). Give v(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1231, -2444, -3659, -4876, -6095?\nAnswer: -7316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express d**3 + 12140*d + 5 - 12142*d - 2*d**2 + 0*d**3 in the form z*d**2 + v + b*d + m*d**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3*k + 70, -l + 0*k - 9 = -5*k. Let h = 31 + l. Suppose h*v - 80 = -0*v. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252 is divided by 43?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -21 + -25 + 15 + 20 + 113\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -4*c**3 + 7*c**2 - 6*c - 7. Let m(z) = 5*z + 5*z**2 - 11*z + 2*z - 5 - 3*z**3. What is -7*m(y) + 5*w(y)?\nAnswer: y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, q: 4, o: 2, j: 2}. What is prob of picking 1 o and 1 j?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-78)\/108)\/(77\/(13860\/45)).\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -8392, -0.4 in descending order.\nAnswer: 11, -0.4, -8392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1610 + -1495. What is the highest common divisor of c and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 308209 - 308206.62109. Let i = -1809 + 1811.38. Let q = j - i. Round q to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + 5*o**2 - 8*o - 7. Let v be m(-6). Let g be (-34)\/((1\/v)\/(-1)). What is the units digit of 3\/(-9) + g\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*k - 6 = 20*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1897434 and 19166?\nAnswer: 1897434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(40)\/sqrt(160) + sqrt(4))*-2)\/(sqrt(18)\/((sqrt(81) + sqrt(9) - sqrt(9))*4)))**2*5 + -4.\nAnswer: 8996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 390789 and 1008.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3232\/(-505)*(-65)\/676.\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000519305 to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 14*v**2 - 10*v - 20. Calculate the remainder when m(13) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 35 + 108*l + 37 - 72 as d + f*l and give f.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-14)*h**(-12)*h*(h\/(h**0*h*h))**(21\/2) assuming h is positive.\nAnswer: h**(-71\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (156\/18)\/13*7\/(112\/(-12)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-42)\/12)\/((-4)\/(-24)). Let k(n) = 3*n - 6. Let q be k(5). Let x = q + b. Find the common denominator of 40\/9 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 5*k = -0*k, 4*c = 3*c - 3*k + k for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 112940193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 10*t**3 - 4*t + 3. Let u(n) = 49*n**3 - 21*n + 16. Calculate -2*u(c) + 11*x(c).\nAnswer: 12*c**3 - 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 746 is divided by 59.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 812, 3186, 6524, 10316, 14052, 17222?\n\"Answer: -85*b**3 + 992*b**2 - 7*b - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -7*p**2 - 5*p - 1. Let t(j) = -2*j**2 - 6 + 5 - 3*j - 4*j**2 + 2*j**2. Let h be 1\/(-17*5\/(-425)). What is h*t(m) - 3*b(m)?\nAnswer: m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.12294871 + 5.985584. Let u = 0.23736474 + z. Let g = u + -0.1. Round g to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38646\/(-904))\/((-513)\/216)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 72 - 34. Suppose -s = -4*w + 14. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*1*sqrt(156))\/(1*sqrt(192)))**2.\nAnswer: 325\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 82, 319, 692, 1183, 1774, 2447, 3184, 3967?\n\"Answer: -3*h**3 + 86*h**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2 - 1743212*l + 15689232.\nAnswer: -4*(l - 9)*(l + 435812)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of 0*s**2 - 5\/2*s**3 + 0*s**4 + 0 + 10*s + 3\/4*s**5. Find the second derivative of g(c) wrt c.\nAnswer: 90*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 271 and 2.4.\nAnswer: 273.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 618 = 154*f + 2928 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a kilometer in millimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mxttt. What is prob of picking 1 m and 1 t?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6765\/(-517) - 344\/(-4042)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7731575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1846 + 3693\/2. Which is the nearest to -1? (a) 0 (b) -3\/2 (c) -8 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2705798 a multiple of 217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -g**5\/60 + 26*g**2 - g + 54. Let w(v) = 23*v - 3. Determine w(s(q)).\nAnswer: -23*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 14*(2\/(112\/35))\/((-2)\/16*2)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(4\/15)*a*a**(-4)\/a assuming a is positive.\nAnswer: a**(-56\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -379374*w**2 - 168181*w**2 - 270242*w**2.\nAnswer: -817797*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from iiyhhyhehiiiiiheeys.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.2 * 1.1466.\nAnswer: -5.96232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208194.\nAnswer: 2, 3, 7, 4957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4*y = 0, -5*n + 3*n + 4 = -2*y. Suppose 2 = -l + n. Let s = 269 + -269. Sort l, 3\/2, s.\nAnswer: l, s, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d = -7*d - 60. What is k in -d*k + 24*k**2 - 12*k - 27*k**2 = 0?\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 261?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1925)\/(-1650))\/((-2)\/(-9)*6)*8?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjjjj. What is prob of picking 3 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 163938379 a multiple of 3397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -11*v + 245. Let h be q(18). Suppose 0 = 36*o - h*o + 55. Solve -5*a = 0, -o*x + 0 = -4*a + 20 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33291?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 12*x - 8*x = 21, -22 = -2*h - 4*x for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 4*p + 28000 = 0. Suppose 3*h + p = 5*h. Suppose 2*k = k + h. Round k to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 1 + 7)\/(560\/(-64) + 11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(2 + 0 + 6\/(-4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bgnbbbwbyjbbjb. Give prob of picking 2 b.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -7*a**2. Let o(i) = 6*i. Calculate s(o(b)).\nAnswer: -252*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of f**5\/20 + 311*f**4\/4 + 96721*f**3\/2 - 129*f**2. Suppose u(y) = 0. What is y?\nAnswer: -311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, d: 5, i: 1, a: 2, o: 1}. Give prob of picking 2 a, 1 i, and 1 o.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 9, e: 3}. Give prob of picking 3 e and 1 y.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 667.78 decades in years?\nAnswer: 6677.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -19 and 56.\nAnswer: -1064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 2 - 3)*(3*n - 2*n - 3*n) + 8 - 8 - 11*n + (-3 + 1 + 0)*(0 + 0 + 2*n) + 3 + 3*n - 3 + 2*n - 3*n - n as a + q*n and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -45289847*p. Let x(g) = 2*g**2. Calculate x(j(h)).\nAnswer: 4102340482566818*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 + 231?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1134977?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence guy when three letters picked without replacement from {y: 1, h: 2, u: 1, j: 2, r: 1, g: 1}.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 80 + -28. Let l = 13 + v. Let y = l - 63. Solve y*i + 22 = -4*q, -3*q - 5*i + 4 - 31 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q - 34 + 3 + 32. Determine j(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.021 (b) -3 (c) 0 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*(9\/6)\/3. Let m = b - -12. Suppose 11*s = m*s - 126. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.6 in 4, 1\/3, 0, -2\/25?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - 2*t - 3. Let a be (-12)\/21 - 50\/35. What is m(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x + 20*x**3 - 41*x**3 + 24*x**3 + 0*x + 2027.\nAnswer: 3*x**3 + x + 2027","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21839640 and 80?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26631 + 27436. What are the prime factors of u?\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c + 8. Let q be o(-4). Suppose 3*v = 2*v + 2. Sort v, -4, q.\nAnswer: -4, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*b + 3*p - 161 = 4*p, -4 = 3*b + 2*p + 2 - 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 43, 5, 0 in decreasing order.\nAnswer: 43, 5, 0, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 15. Suppose 94 = -0*q + 2*q + 2*s, 4*q - 188 = -u*s. List the prime factors of q.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1750*x**5 + 5975*x**4 + 5535*x**3 + 970*x**2 - 460*x - 120 = 0.\nAnswer: -2, -1, -2\/5, -3\/10, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.17, -3\/4.\nAnswer: -3\/4, 0.17, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiiififii. What is prob of sequence if?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 812 a factor of 54521009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/5301?\nAnswer: 2\/5301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 9}. Give prob of picking 4 c.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -18761033 (base 9) in base 3?\nAnswer: -122212001001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1582247 is divided by 9889?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/9, 4\/7, 1, 2\/3, -3, 311 in descending order.\nAnswer: 311, 1, 2\/3, 4\/7, -4\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**2 - 116*l - 1724. Determine w(-14).\nAnswer: -492","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -d**3\/3 - 20*d. Let z(l) be the first derivative of 1\/3*l**3 + 0*l + 2 + 0*l**2. Calculate z(g(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4298125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 133350 divided by 175\nAnswer: 762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.93333 to one decimal place.\nAnswer: 5.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*(s\/(s*(s*s**(4\/9))\/s*s)*s)\/s*s))\/((s\/(s\/(s\/s**(6\/7))))\/s))\/((s*s**(1\/19))\/s**(-3)) assuming s is positive.\nAnswer: s**(-3293\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -53*b*v**2 - 2*b*z**2 + 4349*b*z - 231*b + 2*v**2*z**2 + z wrt z?\nAnswer: -4*b*z + 4349*b + 4*v**2*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (35\/10 - 3)\/(3\/12). Solve -6 = a*w + 2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 203, 111, -39, -247, -513, -837?\nAnswer: -1219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 880.4504km in meters?\nAnswer: 880450.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-753.\nAnswer: -75.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 d when three letters picked without replacement from zzzzzzzzdzdzzzzzdzzz.\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 3416123, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.107623 times 0.95\nAnswer: -0.10224185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of m**6\/2 - 3*m**4\/4 - 142. Let n(j) = 0. What is j?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*u - 21*u + 10*u**4 + (6 - 6 + 5*u**4)*(2 - 6 + 3) + (u - u - u**3)*(4*u - u - 2*u).\nAnswer: 4*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -334?\nAnswer: -1\/334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-125*m + 4*m**2 - 60*m - 191*m + 499*m)*(-2*m - 2*m + 2*m - 2).\nAnswer: -8*m**3 - 254*m**2 - 246*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - 13*w - 7. Suppose -2*n - 52 = 4*d - 4*n, 3*n - 12 = 0. List the prime factors of x(d).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-4\/5)\/q**6*(q*q**(-7\/6)*q)\/q*q**(2\/73)*q assuming q is positive.\nAnswer: q**(-13007\/2190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 n when four letters picked without replacement from {n: 4, m: 3}?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1111333 + -2620?\nAnswer: 1106513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 980517?\nAnswer: 3, 211, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -110614*v**2 + 87838*v - 2?\nAnswer: -221228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -6817155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 65 in -4, -1\/3, -2, -0.038, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 37?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**3 + 13*r**2 - 13*r - 9. Let v(z) = -z**3 + 6*z**2 - 6*z - 4. Let u(d) = -2*d**3 - 2*d**2 - 9. Let s be u(0). Determine s*v(t) + 4*p(t).\nAnswer: t**3 - 2*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 245 and 588?\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**5 - y**5 + 0*y**5 + (-504 + 504 + 67*y)*(0 + 0 - y)*(-y + 5*y**3 - 3*y**3 + 2*y).\nAnswer: -133*y**5 - 67*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 + o**3 + 1621*o - 4876*o + 1588*o - 2*o**4 + 3*o**4 + 1626*o to r*o**3 + j*o**2 + m*o**4 + a + c*o and give c.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 163 - 2?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(10\/80*8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2266939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000007761 rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/19935 (b) 2\/7 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(27)*-3 + sqrt(3) - (sqrt(3)*3 + -2)))**2*6*-6.\nAnswer: -330300 + 39600*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 2*q - 431, 0*q - 4*o - 649 = -3*q. Let s = -139 - -164. What is the remainder when q is divided by s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 4*y**2 - 2*y + 18. Let k be s(-5). Which is bigger: -2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 13 = 5*q, -q - 3*u - 11 = -2*q. Let p = 8 + -4. Suppose -p*c = -2 - 6. Sort q, -4, c in descending order.\nAnswer: c, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 12, -49, 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(117) - ((sqrt(156) - 1*sqrt(156) - sqrt(156))\/sqrt(12) - sqrt(13))**2)*-2.\nAnswer: 104 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12150915*-0.4.\nAnswer: -4860366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 127536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 946, 945, 944?\nAnswer: 943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -5\/2 (c) -5 (d) 257199\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.03, 1, -4, 0.4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -26 - -12?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(931) + -2 + sqrt(931) + -1*sqrt(931) + 3 + 1)**2.\nAnswer: 28*sqrt(19) + 935","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.4 + -0.6. What is the closest to -1 in 3, 0.2, u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 193 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -79 + 87. Suppose 7*n + n = -j. What is the nearest to n in 2, 15, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + y = -5*k + 8, -12 = -2*y - 5*k for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2909, 2672, 2435?\nAnswer: 2198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 28*v**3 - 254*v**2 + 204*v - 1648. Calculate k(9).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzzmzmmmzm. What is prob of picking 3 z?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 888 is divided by 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/12 + 16\/(-3) - -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19263797?\nAnswer: 7, 199, 13829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p + 3*p - 3*p - p**3 - 4*p**4 to s*p**2 + l + n*p + v*p**3 + z*p**4 and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 647833145 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-30)\/165 + (-57)\/(-11). Suppose 531 = 14*y + 41. Solve y = 6*b + o for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -73165 (base 11) to base 9\nAnswer: -172284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2506*x + 2519*x = 442. Solve 0*m - 8 = 4*m - 4*n, 3*n + x = -5*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51 + 59. Suppose -10 + 130 = a*l. Suppose 6*i - l = 333. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-104)\/2 + 0\/(-12). Let f be (53 - -1)*(-25)\/10. Let z = a - f. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01272861849 rounded to four decimal places?\nAnswer: 0.0127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3298 - 0.7478.\nAnswer: -3298.7478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -175001 by 2.\nAnswer: -175001\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 322*r**3 + 2438*r**3 - 181 - 1800 - 887 wrt r?\nAnswer: 8280*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - 5*r**2 - 12*r - r**2 + 6*r**2 + 8. Calculate the lowest common multiple of 5 and h(12).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 82612734?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 4*t = 76, 4*t - t + 72 = -5*a. Let c be 917\/21 - a\/9. Calculate the highest common factor of 5 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 1073*o**2 + 27*o - 34. Let z(q) = 358*q**2 + 10*q - 13. Calculate -3*x(j) + 8*z(j).\nAnswer: -355*j**2 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 295 - 122. Suppose 252 = 5*j - t. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14483372899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -27*i**3 + i**2 + 12*i - 11. Is w(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240000 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 280.3 * -203.\nAnswer: -56900.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 75908\/5 + -39775377\/2620. What is the common denominator of -3\/13 and g?\nAnswer: 6812","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 6*n. Let d be a(5). Suppose 4*m = d*m - 17. Suppose m = 2*l - 11. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 456*j. Let b(y) = -19*y. Let f(a) = -95*b(a) - 4*w(a). Let u(t) = 5*t. Give f(u(k)).\nAnswer: -95*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 3:32 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 + 489. What are the prime factors of x?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 950, 1907, 2864?\n\"Answer: 957*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5a7fe (base 16) in base 11?\nAnswer: -233558","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 4*m = -32, -131*b - 38 = -127*b + 5*m for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 27 + 1 = -5*p, 40 = 3*r + p. Let q = r - -18. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4*f - 22 = -10, 3*f = 9. Which is the nearest to 1? (a) -2 (b) 2\/5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 731*(9 + -19)\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/26 and -21?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 62.874 times -84.3\nAnswer: -5300.2782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 411*d - 17. Let l be 6\/9 + (-48)\/(-9) + -5. List the prime factors of z(l).\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007538019 rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -4*o**3 + 4*o**2 + 5*o - 1. Let m(q) = q**2 + q + 1. What is -4*m(s) + u(s)?\nAnswer: -4*s**3 + s - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7703 a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 89 by -794964.\nAnswer: -89\/794964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -5*i - 71. Calculate the least common multiple of b(-17) and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 835 = 2*d - 21, 0 = -4*d + g + 1705. Let k = 126 + -82. Suppose -k*v + d = -41*v. Is v a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 146*a**3*j - 26*a**3 - 2*a*j + a - 30472*j wrt a?\nAnswer: 438*a**2*j - 78*a**2 - 2*j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.6 - 0.2. Let w = -7 + 12. Suppose -4*s + 0 = j - 4, -3*j = -w*s + 22. Which is the biggest value? (a) j (b) r (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3386 = -2*y + 2290, -14211 = -5*y + 2*m. What are the prime factors of y?\nAnswer: 3, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 756 is divided by 189.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 145 - 146.18. Let l = 2.18 + m. Which is greater: -76 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.43 to 1 dp.\nAnswer: -6.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/3*9*12\/(-48).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/28006 and 39\/10?\nAnswer: 140030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**12\/d)\/d)**(-6\/11)\/(d\/(d**(-3\/7)*d))**(-2\/13) assuming d is positive.\nAnswer: d**(-5394\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/3 (b) 33 (c) 3 (d) -3 (e) 0.141 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 4\/41 (c) -0.538\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20944 and 574056.\nAnswer: 12629232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 596 + ((-27)\/6 + 2)*140\/(-175). Sort z, -1, 5 in ascending order.\nAnswer: -1, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145291317.\nAnswer: 3, 4139, 11701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-28)\/(-35)*5\/2*-1. Let s be (1\/37)\/(1\/c). Which is smaller: s or 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/8*0*-1. Suppose 3*w - 72 + 24 = y. Calculate the remainder when 47 is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 times -0.45?\nAnswer: -13.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.5 in 4, 103, -88\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 99 in 4, 0.4, -61.5, 1, 3\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 487*x - 96 = 471*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**2 + 13*t + 2. Calculate the remainder when 65 is divided by x(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 240313613 to the nearest integer?\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 189521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -171, -708, -1597, -2832, -4407, -6316?\nAnswer: -8553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15 take away 0.011?\nAnswer: -0.161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -559*m + 19008 = -1615*m for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*z**2 + 35399*z\/3 - 46 = 0 for z.\nAnswer: 2\/513, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 k when three letters picked without replacement from skssseksess.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47904186 divided by 7984031.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 20*y + y**3 - 13 + 5 + 6 + 4 + 12*y**2. Let n = 98 + -108. Let k be f(n). Solve 4*p + k = 2*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5700, 11423, 17168, 22935, 28724, 34535?\n\"Answer: 11*t**2 + 5690*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 294\/35*160\/48. Put -6, t, -2 in ascending order.\nAnswer: -6, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of -g**6\/120 - g**5\/15 - 35*g**4\/24 - g**3 - 44*g**2. Is j(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -5*b + 9. Let l(a) = a - 1. What is 18*l(j) + 2*m(j)?\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**3\/11 + 4318*h**2\/11 + 594958*h\/11 - 599278\/11 = 0 for h.\nAnswer: -2011, -149, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnknskisniknn. Give prob of picking 2 s and 2 n.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 132\/9)*(-17316)\/(-10582).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*h**4 - 6509583*h**3 - 5849*h**2 - 47*h + 23 wrt h.\nAnswer: 48*h - 39057498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7032 - 4122. List the prime factors of v.\nAnswer: 2, 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 666184036?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/8)*g*g*g*g**0)**(-12\/7)*((g\/g**(-4))\/g)\/g**(2\/9)*g**(1\/2)*g**0\/g assuming g is positive.\nAnswer: g**(-104\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i*i**(-2\/5))\/i)**(-17)\/(i\/i**2)**(5\/8) assuming i is positive.\nAnswer: i**(-383\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4509102 by -26.\nAnswer: -173427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17*(-675)\/(-48195)*48.\nAnswer: -80\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 727 and 2908.\nAnswer: 2908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 - 1360*s + 2 - 1376*s + 2724*s)*(2 - 2 + 1).\nAnswer: -2*s**2 - 12*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -936000 rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 7:55 AM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 63, 82, 101, 120?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2766850404.\nAnswer: 2, 3, 71, 3247477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -135312 - 0.458.\nAnswer: -135312.458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 - -3) + -1 + 2. Let q = i + 14. Suppose 2*s - 28 = -0*n - n, 3*n = 5*s - 92. What is the least common multiple of q and s?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98 - 431 + 106 + 107 + 120 - 3*j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.8 take away -1.574?\nAnswer: -42.226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = p - 146. Let k = 312 - 312. Suppose k = 3*s + 10 - p. What is the greatest common divisor of 7 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14612 - -102282\/7. What is the third smallest value in r, 5, 0, -0.2, -8\/21?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7121.312l in millilitres?\nAnswer: 7121312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 + 31. Suppose 0 = -2*x + 7*x - 10. Which is smaller: s or x?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200*n - 391 = -4*s - 205*n, -3*s + 299 = -2*n. Calculate the greatest common divisor of s and 429.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 375290902 - 0.11\nAnswer: 375290901.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/1763?\nAnswer: 3\/1763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -5*s**8\/336 - s**4 + 18*s**2. What is the second derivative of q(m) wrt m?\nAnswer: -100*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2512021 (base 9) to base 12\nAnswer: 55a731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 25 = -3*n, -3*n + 2*n - 434*p - 6 = -433*p for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 4*j**2 - j - 7. Let x be v(-5). Let q = x + 28. Which is the second biggest value? (a) q (b) -2 (c) 4 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -34266, -68528, -102790?\n\"Answer: -34262*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -69 + 87 + (-1 - -15).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 7\/2*p**2 + 4 + 1\/2*p**3 + 7*p = 0.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1077 - 932 - 2*p**2 + 2*p**3 - p**3 to k*p**3 + b*p**2 + g + y*p and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 773566.1 nanometers?\nAnswer: 0.7735661","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 - 429891.071?\nAnswer: -429891.971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 12 = 3*n. What is z in -28*z**3 + 53*z**3 - 28*z**3 - n + 9*z = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 43*o - 1018. What is s(24)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -g**4\/12 + 7*g - 11. Let u(s) be the first derivative of j(s). Let n(b) = -9*b**2. Calculate u(n(h)).\nAnswer: -81*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a year in months?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 6*z**2 + z - 8. Let y be n(6). Let r be -9 + 5 + y + 2. Let h be ((-2)\/r)\/(6\/132). Calculate the highest common divisor of 33 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002246038746 to 6 dps.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1237 + -1228. Let l(o) = o**2 - 12*o + 24. Calculate l(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179141 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36*l**2*r**2 + 2*l**2 + l*r + 5*r**2 - 1 wrt l?\nAnswer: 72*r**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w + 4. Let a be b(4). Suppose a = -0*p - 2*p - 8. Let n(j) = -4*j - j**2 + j + 0*j + 5. Determine n(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 3, -0.1, 2, -1, -1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 6:37 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -4 - (-3 + -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3*i. Let r be c(-1). Suppose 42 = r*d - 3*y, 0*d - y = 3*d - 34. What is the units digit of (8\/2)\/(d\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 2*r**2 + 2*r - 3. Give y(-5).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 174 divide 504774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 206, 708, 2072, 4730, 9114, 15656, 24788?\nAnswer: 36942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4655156 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/3, -1108, -56\/17, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*x - 33*x - 12. Let p be (-2 - (-2 + 5 + -1)) + 28. What is the highest common divisor of p and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -5*h**2 + 15*h - 1. Let m(l) be the second derivative of -l**4\/6 + 5*l**3\/6 - 7*l. Let i(s) = -8*m(s) + 3*w(s). Give i(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmfqqmfmm. What is prob of sequence qqff?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of -p**4\/12 + 23*p**3\/6 - 16*p**2. Let q be f(10). Suppose u - 9 = 2*u - q*i, -4*i + 31 = 5*u. Solve -u*k + 1 = 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3071?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*k + 165 - 165)*(2*k - k - 3*k).\nAnswer: -56*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddfdddddddddddddddd. What is prob of picking 4 d?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 427, 1\/11, -0.122, 4 in increasing order.\nAnswer: -0.122, 1\/11, 4, 427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/32 of a kilogram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 564 and 1551.\nAnswer: 6204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1*1\/(-6) - (-21)\/(-630)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 200\/(-175) + (1 - 0). Sort r, -0.2, -2, -0.025 in decreasing order.\nAnswer: -0.025, r, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -58465, -58470, -58475, -58480?\n\"Answer: -5*r - 58460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.09 - -0.09. Let y = r + 2.5. Suppose 27*v - 72 = 36. Which is the biggest value? (a) y (b) -4 (c) -1 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*s + 2, 4*s - 5 = a. Let u(p) = -p**2 + 4*p - 3. Let q be u(a). Let i be (q\/16)\/((-1)\/(-1) - 0). Sort 42, -3, i.\nAnswer: -3, i, 42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13708, 13710, 13712, 13714, 13716, 13718?\nAnswer: 13720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-4) + 13\/52. Is h bigger than 3\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 137 - 141. Let g(r) = -3*r - 2*r - 5 - 3 + r. Calculate the smallest common multiple of g(u) and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (48\/4)\/3*(5\/25 + 0). Which is the nearest to -247? (a) f (b) 2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1028.34 rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -202932, -202989, -203048, -203109, -203172?\n\"Answer: -s**2 - 54*s - 202877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 48927*f**2 + 23927*f wrt f.\nAnswer: 97854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -73.34071 rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 51*f**2*h**2 - 2*f**2*h - 7041*f**2 - 1332*f*h**2 + 2*f + h**2 - h + 4 wrt f.\nAnswer: 102*h**2 - 4*h - 14082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 56 + -41. Suppose w = -8 + c. Let l(a) = a**3 - 7*a**2 + 6*a - 10. What is the units digit of l(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3cb - b500?\nAnswer: -b124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 167343997921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - 0 - (4 - 19). Suppose 2*k = -4*f + 4, 5*f - q = -0*k + 2*k. Suppose -7*v + f*v = -435. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -1149*f**2 + 21*f - 7. Let l(g) = 575*g**2 - 9*g + 3. Give 6*a(r) + 14*l(r).\nAnswer: 1156*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 80*y**3 - 9*y**2 + 48*y. Let f(c) = 27*c**3 - 3*c**2 + 16*c. Let i(a) = -7*f(a) + 2*w(a). What is the third derivative of i(p) wrt p?\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 782 = -21*v. Suppose 36*l - v*l + 14 = 0. Sort -5, l, -2 in increasing order.\nAnswer: l, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1\/4)*s**(5\/4)*(s*s\/(s\/(s*s**(2\/11))*s))\/s**(-4\/5)*(s*(s*s*s*s\/s**(-2\/3)*s*s*s*s)\/s*s*s)**(3\/10)*((s**3\/s*s)\/s)\/s**(-1\/7) assuming s is positive.\nAnswer: s**(641\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pjpp when four letters picked without replacement from pjjpjqppjpj?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 25 = 5*x, -21 = -3*x + 5*g - 6 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12521524 (base 9) in base 16?\nAnswer: -5dec6e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 271 - -24371?\nAnswer: 24662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12787 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 118290706 by 6.\nAnswer: 59145353\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 2:30 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 4 + (1 + 1 + 0)*(0 - 1 - 1))*(-18*j - 2 + 23*j + 42*j).\nAnswer: -94*j + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 503904260 take away -426?\nAnswer: 503904686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m + m = 0. Suppose 5 - 25 = -5*c. Suppose 5*q + c*x - 30 = m, q + x + 45 = 5*q. Is 10 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.16119 + -0.23881. Which is the second smallest value? (a) 88 (b) l (c) -4 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25 * 5.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 89, 161, 233?\n\"Answer: 72*c + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/103357100 and -85\/281883.\nAnswer: 310071300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/7950 and 1\/2120.\nAnswer: 31800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 850833.27ms?\nAnswer: 0.236342575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -59 - -22. Which is smaller: b or -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 31*t**3 + 2686*t**2 - 31*t - 2663. Let c(r) = -4*r**3 - 336*r**2 + 4*r + 333. Let l(d) = 46*c(d) + 6*o(d). Let l(j) = 0. What is j?\nAnswer: -330, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.70754494 rounded to four decimal places?\nAnswer: -12.7075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 485*a - 1548280 = -1589505 for a.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 364*x + 16*x**4 - 10*x**2 - 561*x - 17*x**4 wrt x.\nAnswer: -12*x**2 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*(-40)\/96)\/((-15)\/(-12))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -11*k**4\/8 + k**3\/2 - 22*k**2. Suppose -5*o = -2*u + 14, -4*u + 11 = -u - 5*o. What are the prime factors of h(u)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 15 = -9. Let g = v - 3. Suppose 6 = g*m - 18. Solve a - 5*w = m, -w = -4*w - 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -727 = -5*b + 2*d - 4*d, 0 = -2*b - d + 290. What is the remainder when b is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -178.421622 to zero dps.\nAnswer: -178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 15829 (base 10) in base 15?\nAnswer: 4a54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1690)\/(-65)*62\/(-124).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -34, -1, 43.\nAnswer: -34, -1, 2, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5)*-1 + 4 + -1 + -3)**2 + ((sqrt(2000)*1)\/(sqrt(16)\/sqrt(4)*-6 - sqrt(4)))**2.\nAnswer: 745\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3222787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 6*v + 6. Let w be q(-6). Let k be 3\/w + (-7)\/(-2). Which is bigger: k or 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 76*c**2 + 22*c + 33. Let p be q(-76). Sort 3, p, -3 in decreasing order.\nAnswer: 3, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16.83519 years to months.\nAnswer: 202.02228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 776 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -5*q - 4. Let p = 76 - 58. Calculate the smallest common multiple of p and h(-4).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2021 and 268511?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 273 a factor of 759973578?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -100717 + 805659\/8. Let w = -18031\/8 - -2251. What is the common denominator of v and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*a**3 + 3 - 3*a**3 + 2*a**3 + (8 + 15*a**2 - 8)*(0 + 0 - a) in the form v*a**2 + f + o*a**3 + u*a and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3652, 3510, 3368, 3226, 3084?\n\"Answer: -142*g + 3794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32508?\nAnswer: 2, 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-303026)\/(-927) - (6\/(-27))\/2. Calculate the highest common divisor of 872 and u.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 170661185 to the nearest integer?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 - p**2 + 2*p**2)*(-2 + 2 + p) + (-6*p**2 + 38*p**2 + 34*p**2)*(2*p - p - 3*p + 3*p - 4*p - p + 0 + 0 + 2*p + (0 - 2*p + 0)*(1 + 2 - 5)).\nAnswer: 133*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide (-2 + 19)\/((-19)\/(-361))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -4*l**2 + 2. Let m(d) = -5*d**2 + 3. Let t = -38 - -50. Suppose 3*b + 18 = t. Determine b*m(w) + 3*g(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -358*g**5*k**2 + 2*g**5*k - 7*g**2*k**2 - 2*g**2 - 3*g wrt g?\nAnswer: -21480*g**2*k**2 + 120*g**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-6*(2 + (2 + sqrt(637) + sqrt(637) - sqrt(637)) + (sqrt(637) + -1 + sqrt(637))*5)*2)**2.\nAnswer: -22176*sqrt(13) + 11099228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 3 = 3*t, 3*t - 38*w + 3 = -35*w for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/286420 or -1?\nAnswer: 3\/286420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-3 - 4) - (3 + -15).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.8 - -4.5. Which is the closest to -1? (a) h (b) -4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmtomgtoaotoomtt. Give prob of sequence tatg.\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x - 5. Let c(z) be the third derivative of -6*z + 0*z**3 - 3*z**2 - 5\/24*z**4 + 0. What is f(c(o))?\nAnswer: -5*o - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1127.71 - -1127.6. Let h = 53 - 48. What is the fourth biggest value in u, -0.3, h, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3648 and 9984.\nAnswer: 189696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -158199*1.\nAnswer: -158199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 3:46 AM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 6*o + 135. Let n(a) = 6*a + 154. Let b(l) = 5*n(l) - 6*x(l). Let v(t) = 2*t + 13. Give -4*b(i) - 11*v(i).\nAnswer: 2*i + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/4 + 100\/8. Let s = 9 + p. What is the highest common divisor of s and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 1. Suppose 1 = t*v + 4. Let c(k) = -4 + 3 + 1 + 7*k. Determine c(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(39\/(-30) - -1). Suppose -o + 4 + 0 = 2*g, -5*g + p = 4*o. Suppose 7*n - 7*n - g*n**2 - 2*n**3 = 0. Calculate n.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l - 3*l + 2*l + (-4 + 2 + 0)*(4*l - l + 2*l) + (3 - 5 + 0)*(173*l - 63*l - 63*l).\nAnswer: -102*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 8. Let i be 1 + (3 - 6) + b. Suppose -3 = i*g - 3*g. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 5*g - 86 = 0. List the prime factors of g.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 21*f. Let l(u) = -84702*u**2. Determine l(r(b)).\nAnswer: -37353582*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 6. Let t be 2 - 9 - 96\/(-14). Which is the smallest value? (a) z (b) 1\/3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2543.6 + -2544.6. Let x = 6 - 29. What is the closest to l in -0.2, x, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w + 9 = 11*w - 2*c, 2*w + 3*c = -23 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d - 4*w + 1 + 19, 28 = 2*d + 4*w for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 4*v + 3. Let x be g(4). Let p be 13\/39 - (-26)\/x. What is the greatest common factor of p and 90?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 146321 = -m, -2*m + 31019 + 42129 = 2*o. List the prime factors of o.\nAnswer: 3, 89, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**2. Let w(b) = 1 - 9*b**2 - 310*b + 609*b - 299*b + 1. Give s(w(g)).\nAnswer: 162*g**4 - 72*g**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - g + 9 - 17 = 0, -3*u + 5*g = 11 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (((-270)\/12)\/(-3) + -3)*2. Let d(t) = t**2 - 10*t + 51. Is 6 a factor of d(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 194 divide 8342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1190864488656 + -1190858961984.9999992. Let m = -5526666 + u. Let y = m + -5. What is y rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(-1)\/(-5 + 2). Let g(h) = h**2 + 13*h + 38. Let k be g(-9). Which is the closest to k? (a) -0.4 (b) 5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwr when three letters picked without replacement from rwwrwrwrww.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -701 - -658. Let z(v) = -v**3 - 44*v**2 - 41*v + 94. Calculate the remainder when 173 is divided by z(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of 23*s**4\/12 - s**3 - 9*s**2. Differentiate h(i) with respect to i.\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -2817?\nAnswer: -2814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 277482 = -3*p, 0 = -4*s + 4*p - p + 369976. Let k = s + 14506. Round k to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*d = -13, 0 = d + 1 + 2. Let l(c) = -2*c**3 - 6*c**2 + c + 5. List the prime factors of l(v).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 15 - ((-31 - -49) + -11)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55216, -110431, -165646, -220861, -276076?\nAnswer: -331291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5 + 5)*(-3 - 21\/(-6)). Do 7\/19 and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rvvqrrvqraazaarrraa. What is prob of sequence qz?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 141263 + -98144. Does 19 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-28)*(2\/5)\/(115\/(-115))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - sqrt(720)*-1)**2*2 + -1*(sqrt(50)\/sqrt(640))**2.\nAnswer: 108155\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2220 + 444 + 446 - 10*q**3 + 447 + 442 + 441.\nAnswer: -10*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -8. Let w be -1*(f - (1 + 0)). Calculate the greatest common factor of w and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000017068 rounded to seven dps?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 2\/9, 0.05, -139?\nAnswer: -139","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -346 - -375. Let i = x - 28.6. Which is the fourth biggest value? (a) -5\/2 (b) -2 (c) -4 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -263.49 + 264. Let x = -2 - -1.99. Let y = k + x. Which is the biggest value? (a) -5 (b) -2\/7 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 780\/36 + (-2)\/(-6) - 0 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2666 and 25241?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 369550 is divided by 7697?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60319477.\nAnswer: 60319477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 25*r**3 - 7*r - 42. Let u(t) = -t**3 - t**2 + t + 7. Determine i(x) + 6*u(x).\nAnswer: 19*x**3 - 6*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7936436 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5488 - 32 = 552*v for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*d - 25*d - 175 = 0 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 545264?\nAnswer: 2, 53, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*n - 45. Is n a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00168221 rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -132 - 4416614751702.\nAnswer: -4416614751834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - n = 4. Let t be -6 + 28 - 3*n. Suppose -k + 1 = 3*z - 4, -t = -5*k + 4*z. Calculate the smallest common multiple of k and 11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (48\/20 + -2)*10. Suppose 2*v + 5*h = 5, 0 = 3*v - 4*h - 0*h + j. Solve v = 3*w - 3 - 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/12)\/((-18885)\/(-124641)).\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 848435 is divided by 827.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 945 + -1149.7. Let o = -262 - j. Round o to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/867370 and -85\/8?\nAnswer: 3469480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 225, 709, 1193, 1677, 2161, 2645?\nAnswer: 3129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-429)\/(-44))\/39)\/(((-2)\/88)\/(-1)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1419*238\nAnswer: -337722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 7*s + 11*s - 1)*(-2*s**3 - 2*s**3 - s**3 + 2*s**4).\nAnswer: 8*s**5 - 12*s**4 - 20*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.17 + 245325\nAnswer: 245325.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 243169*c - 712987?\nAnswer: 243169","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2578 + 0.004.\nAnswer: -2577.996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*u + 2*f, -2*f = u + 3*f + 16. Let q = 2567 - 2567.3. Which is the biggest value? (a) 2 (b) q (c) -3 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4)\/6*-1*(-2)\/12 and -57\/7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 100, 25, -108, -305, -572?\nAnswer: -915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36529731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 72789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 5*w - 18 = 0, 6*w - w + 17 = i. Suppose -6 = 5*q - i*q. Let n(j) = 2*j - 4. What is the units digit of n(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*1.3\nAnswer: -0.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1433294 is divided by 159239.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19\/9 + 97\/63. Which is the third biggest value? (a) 1\/2 (b) f (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 y when four letters picked without replacement from {i: 6, y: 2}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**3 + 97856 + 37*a - 12*a - 97856 - 48*a + 23*a.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**3 + 4*v**2 - 14*v - 7. Is u(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3573 - 2237 - 1969 + m - m + 5*m - 2*m + (3 + 2 - 4)*(m + 0*m + m) + 2*m - 2*m - m)*(1 + 0 + 1).\nAnswer: 8*m - 1266","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*t - 5*d - 13, 3*d - 51 = 2*t. Let j = t - -27. What is the smallest common multiple of j and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143*z**2 + 294*z**2 - 130*z**2.\nAnswer: 21*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/51900 and -23\/60550.\nAnswer: 363300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-408)\/119)\/(9\/84). Put 5, n, 2 in decreasing order.\nAnswer: 5, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43 + 35. Let k = -0.0348 + 1.0348. Which is greater: u or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 17174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 6. Let v(s) = s**3 + s**2 - 1. Let a be v(1). Let l be a + 1\/1 + -2. Solve 11 + 2 = h*d - k, 5*d + 5*k + 15 = l for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1024, 1022, 1020, 1018, 1016?\nAnswer: 1014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1855 take away 31?\nAnswer: -31.1855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a + 2*a - 1 - 624*a**2 + a.\nAnswer: -624*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/y**(9\/4)))**(1\/15) assuming y is positive.\nAnswer: y**(3\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 240 and 300.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3736 - 433. List the prime factors of q.\nAnswer: 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28303 = y - 2*m, -4*m = 315*y - 318*y + 84903. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -5070 and -187645\/37 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 606 - 565. Suppose -f = -3*l - 4*x, -73 = -2*l - l + 4*x. Solve 0 = -5*s - 2*q - 19, 4*q + l = -3*s - q for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**3 + 12*r**2 - 53*r + 67. Determine o(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 978 + -978.00000489. What is f rounded to seven dps?\nAnswer: -0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 6 = -r, 51*f - 45 = 46*f - 5*r. Which is smaller: -0.03343 or f?\nAnswer: -0.03343","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 2*j - 3*j)*(2*j - 320 - 217 + 156).\nAnswer: -4*j**2 + 762*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6541 + 10187. Let z = 36341\/10 - v. What is the common denominator of z and 85\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -14. Solve -3*s = -l*s + 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15294 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3 - -5)*(-266)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1045775 is divided by 887.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 134 (base 7) to base 4\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1)**(-9)\/(m**6\/m*m**(2\/9))*((((m\/(m\/(m**(-1\/3)\/m)))\/m)\/m*m)**(-6))**(-4) assuming m is positive.\nAnswer: m**(-632\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-11 + -19 - -10) + -29 + -38?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -4*j - 204 + 762, 4*q + 2*j - 1140 = 0. Suppose 0 = 3*l - q - 229. What are the prime factors of l?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -8*d - 3. Let y be p(-4). Let z = 32 - y. Is 14 a factor of -14*1\/z*-3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25071 divided by -603?\nAnswer: 8357\/201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-257214.\nAnswer: -77164.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/4 (b) 3 (c) -3950\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ktqtt. What is prob of sequence tttq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4151 - 10154220?\nAnswer: -10150025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -14*q - 14. Let j be k(-6). Let d(s) = -11*s**2 + 1915*s + 64. Let c be d(174). Calculate the highest common divisor of j and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2421922.\nAnswer: 2, 17, 71233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 134\/9 - 15. What is the nearest to 0.1 in 3, c, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-26))\/((f*f**(-1\/56)\/f)\/f) assuming f is positive.\nAnswer: f**(-1343\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/4 (b) 318 (c) -1.3 (d) 1\/5 (e) -0.1 (f) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(1\/3)*f**(-3)*(f**(-1)*f)**(-5\/6) assuming f is positive.\nAnswer: f**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 - 92b?\nAnswer: -932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-20))\/(-10 + (-1629)\/(-162))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**2\/5 + 42*r\/5 + 36 = 0. Calculate r.\nAnswer: -15, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - p**2 - 3. Let b(m) be the first derivative of 4*m - 1\/4*m**4 + 0*m**2 + 1\/3*m**3 + 127. What is 5*a(q) + 4*b(q)?\nAnswer: q**3 - q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, s: 3}. Give prob of picking 1 s and 3 x.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -232*l**2 - 10192228*l - 175728.\nAnswer: -4*(l + 43932)*(58*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -b7 (base 15) to base 6\nAnswer: -444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n**2 - 28*n - 44. Let m be v(-12). Let u = 160 + m. Calculate the remainder when 71 is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -93 + -18?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 20 = 4*y + 7*a, -2*y - 2*a = 10 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 314.5 (b) -0.1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.06521 rounded to one decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -29*j + 10. Let r(f) = 14*f - 5. Let w(m) = -6*i(m) - 13*r(m). Let a = 97 + -87. What is the remainder when w(-4) is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -42, -25, -8, 9?\n\"Answer: 17*x - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -18, -122 in increasing order.\nAnswer: -122, -18, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 837?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - ((11 - (8 + -28)) + -6).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 6:58 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + 8*o - 6. Let r be q(-5). Let f be (-6)\/(-9) + 23\/r. Let v(s) = 2*s - 5. Let h be v(4). Which is the third smallest value? (a) 2 (b) f (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4590)\/(-17))\/(-45)*1*3\/(-1791)?\nAnswer: 2\/199","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1173 + -429. Calculate the greatest common factor of 1364 and b.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 6:08 AM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 5*h - 13, 2*a + 3*h = -0*a + 23. Suppose a*j = 307 + 13. Calculate the greatest common divisor of 120 and j.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2602*g**2 + 2590*g**2 + 2597*g**2 + 2003*g**2 - 9788*g**2.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1304)\/(-40) - (-14)\/35. Differentiate -31 - 9 - l*p**2 - 16 - 33*p**2 with respect to p.\nAnswer: -132*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, k: 2, o: 9, m: 3}. Give prob of sequence mox.\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 9*i - 8*i. Let t = i + 40. Calculate the greatest common divisor of 3 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m - 6. Let o be (-5)\/(15\/(-27)) + -1. Let z be h(o). Suppose 1 = -z*u + 7. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j - 7*s + 15 = -4*s, j = -2*s for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 - 55 = 47*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 76272, 76270, 76268?\n\"Answer: -2*z + 76274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 j when three letters picked without replacement from jltxtxjtxxtxtxztxxt.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 2*j**2 - 2*j - 2. Let z be s(-2). Let n be (8\/(-6))\/(z\/(-48)). Suppose -d = 3*d - n. Is 8 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 5, -240.\nAnswer: -240, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 7*j = 132. Let a be (-3 + 33)\/(20\/j - -1). Let c = 53 + a. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 10\/3, 5, 1\/7, 467 in ascending order.\nAnswer: -1, 0, 1\/7, 10\/3, 5, 467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(40\/(-5))\/200*-3.\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 39519\/4390 greater than 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w + 1. Let g be z(2). Suppose g*y = 21 + 79. 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 -1.71 less than -41.08954?\nAnswer: -39.37954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -600 divided by -1?\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 504 = -34*i + 70 + 60. Let c(g) = g**3 + 3. Let z(a) = -5*a**3 - 15. Calculate i*c(k) - 2*z(k).\nAnswer: -k**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13017441 or 13017438?\nAnswer: 13017438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 745545 is divided by 2597.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 1. Calculate the greatest common divisor of 88 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2301 = -3*z, -769 = -z + 13*a - 15*a. Suppose 1 = -k, w + 3*w = k + z. What are the prime factors of w?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 10:22 PM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3076*x - 731*x - 896*x - 863*x - 1069*x.\nAnswer: -483*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144493 is divided by 24075.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n - 7. Let c(t) = 4*t + 8. Let m(p) = -2*c(p) - 3*i(p). Let o(y) = y + 6. Let d(b) = -3*m(b) + 2*o(b). What is the units digit of d(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 313145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127675 is divided by 118.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -93 + 99. Let h(z) = -v*z**2 + 2*z**2 + 14*z**2 - 7*z**2. Let p(y) = 2*y. Give h(p(b)).\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -2\/15, -0.4 in descending order.\nAnswer: 5, 3, -2\/15, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 1001200212001201?\nAnswer: -1001200212001202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c - 10. Let j be s(-8). Let v = j - -2. Calculate the remainder when 5 is divided by 4 - (0 + v + 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of o**5\/20 + o**4\/2 + 2*o**3\/3 + 5*o**2\/2 + 3*o. Suppose -4*n - 8 = 12. Give a(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 1526 = -4*b, j - 2548 = 6*j + 2*b. Let q = 723 + j. List the prime factors of q.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 315 = -59. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 + 10 - 38 - 512*t)*(-17*t + 4 + 2*t + 29*t).\nAnswer: -7168*t**2 - 2048*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 276 and 1572.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -104618 < -104618?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 71 + 39. Let c = 113 - a. What is the third smallest value in -34\/3, -1\/7, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -k**5\/15 - 5*k**4\/3 + 22*k**3\/3 + 2*k**2 + 2*k - 58. Let s(j) be the second derivative of l(j). Suppose s(y) = 0. What is y?\nAnswer: -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 + -13. Let j(a) = a. Let x be j(2). Suppose -5*n + 27 = -x*n. Calculate the smallest common multiple of w and n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of m**4\/3 - 2*m**3\/3 + 3*m**2\/2 - 2*m + 4. Let g(f) be the first derivative of n(f). Does 4 divide g(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z - 1. Let y(t) be the second derivative of -t**4\/12 - 7*t**3\/6 - 7*t**2\/2 + 10*t. Let i(q) = 6*l(q) - y(q). Determine i(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.198954 and 1036069.86?\nAnswer: 1036069.661046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 52*s**3 - 2*s + 51?\nAnswer: 312*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 513, 1051, 1605, 2169, 2737, 3303, 3861?\nAnswer: 4405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 11*v**2 + v - 13. Let s be x(12). Suppose -o + 205 + s = 5*i, -o + 208 = 3*i. Is 10 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -934*0.2.\nAnswer: -186.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 47929407 to the power of 1\/5, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3276038 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - 41 - (2082 + -2181)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -3*h**2 + 6*h - 6. Let w(q) = -q**2 + q - 1. Suppose 0 = 7*t + 18 - 60. What is t*w(d) - g(d)?\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 42 + 14*c**3 + 17 - 6*c**3 + 15.\nAnswer: 8*c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42723440 and 160?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 431325 - 8133*m + 2766*m - 431325.\nAnswer: -5367*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 + -10 + (-23244)\/(-468)?\nAnswer: -103\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -51*o**2 + 97*o = 0.\nAnswer: 0, 97\/51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-151)\/(-15) + 12 + 7 + (-30)\/1)?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(325)*1)**2 + -4 + -5.\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**0)**(-12)*(j**2)**(-1\/65)*(j**(-1\/3))**17*(j\/j**(-1\/5))\/j*j*(j\/j**(-2))\/j assuming j is positive.\nAnswer: j**(-2827\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**3 + 7*d**2 - 7*d - 7. Let z be r(-4). Let p be (-9)\/(-6)*4\/6. Which is bigger: p or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8 and 8.15.\nAnswer: 65.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 5*t - 140 = -6*w, -5*t - 185 = -4*w. Does 15 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3516810209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -5*t**3 - 83*t**2 - 123*t - 45 = 0?\nAnswer: -15, -1, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4000 = -12836. Let o = m + -1382. What is o rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -b**5\/4 - 39*b**4 - 218*b**3 + 2103*b**2\/2 + 873*b\/4 - 2025\/2 = 0.\nAnswer: -150, -9, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -3, -178.\nAnswer: -178, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1497146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -17*b**2 + 598*b - 87. Let h be x(35). Suppose 0 = 4*q - 34 - 74. What is the highest common divisor of q and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 147 = -233. Let j = -1222 - -1336. Calculate the greatest common divisor of j and w.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 7*a**2 - 97*a**3 - 7*a + 96*a**3 - 15 + 0*a. Let u be m(5). Which is smaller: u or 3\/157?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 87\/(-29)*10\/3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 387977781?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -5*r + 339 - 330, b + 5*r - 7 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 11*v - 279 = -12*v, 0 = 2*z - 3*v - 98. What is the second derivative of 2*s - 82 + 34*s**4 + 0*s + z wrt s?\nAnswer: 408*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -211 + 160. Let t be (3\/2)\/(6\/32). What is the tens digit of (6 - t)\/(6\/h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**3 + 173*u**2 - 108*u - 1831. Determine k(-87).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32 - -34. Sort y, 0, -10 in ascending order.\nAnswer: -10, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -267\/241 + 101698\/75915. Let k = d - 2\/63. Suppose 12 = 4*y - 0*y, 2*q + 2*y = 8. Which is greater: q or k?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (-5 - 22)) + -19.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 1, -b - 3*d = 2 - 5. Let u(c) = -c**2 - 4*c + 3. Let k be u(-4). Suppose -4*g + 4*j = 2*j - 28, -k*j = -4*g + 32. Solve 2*h - 1 - g = b for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**1*f)\/f)**36)**25)**(3\/53) assuming f is positive.\nAnswer: f**(2700\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*8\/6*3. Suppose 0 = -v + 2*c + k, v + 2*c = 6*c. Calculate the remainder when v is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -5*u + 67 + 53, 0 = -4*u - 5*x + 98. Solve u*z**3 - 5*z**2 + 18*z**3 + z**2 - 36*z**3 = 0 for z.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 420 is divided by 38.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1953\/2059 - 65057587\/12354. Let n = -5252 - b. What is the common denominator of -20\/13 and n?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41 + 61. Let u = 7945 - 7941. What is the greatest common factor of v and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -250 + 251. Sort p, 4, -2\/21 in ascending order.\nAnswer: -2\/21, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.35 * 87\nAnswer: -30.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 minus -43998431?\nAnswer: 43998419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -7*g**2. Let u(x) = 1871 + 3*x - 1871. Calculate u(f(c)).\nAnswer: -21*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*d - 19. Suppose -3 = -2*t - 11, -3*p = t - d. Solve -5*c + p*i - 20 = 0, 5*i - i = c + 19 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + d - 6 = p, 4*p + 5*d = 41 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 4*t - 24, 0 = -2*p + 4*t - 4 - 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4480369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 27357501.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = 7*f - 12*f. Suppose -5*h - 4 = f. What is the common denominator of -1 - -1*(-2)\/144*h and -89\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1, 3, 31, -10, 4.7, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/6 (b) -0.4 (c) 5.1 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q = 19 + 5 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6 + (-1749)\/288 + 1\/6. Let o = -0.26 - -0.06. Let i = 4.1 - 4. Put m, i, -1, o in ascending order.\nAnswer: -1, o, m, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 3:41 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -10\/11, 2\/9, 109, 0.3, 12, -676?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p + 4*p + 5*p + (4 - 1 - 2)*(0 - 3 + 0)*(-3*p - 3*p + 4*p).\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -66.7 and 5.\nAnswer: -61.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**0)**50)**(-2\/5)\/(q**1*q*q\/(q\/(q\/q**(-4\/5)))*q*q\/(q*q*q*q**(-1)\/q*q*q)*q*q**(-6)) assuming q is positive.\nAnswer: q**(11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 0. What is the remainder when 15 is divided by 1*21\/f + 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 27 = -69. Suppose z*x = -583 - 1033. Is x less than -401\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 8:12 AM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.31 - -0.3173. Let x = 0.2073 - q. Which is greater: x or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l**2 - 5*l**2 + 0*l**2)*(3*l + l + 2 - l) as q + t*l**2 + u*l**3 + y*l and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 4. Suppose y = 5*g - 16, 11*y - 9*y = 8. Suppose 0 = 3*p + g*l - 5 - 14, -16 = -t*l. Which is smaller: -10 or p?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -175\/2 - -88. Which is the third biggest value? (a) 4 (b) -5\/4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13783\/527 at most -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -24*a + 2783. Give o(116).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*x - 12*x + 2991. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 7*u - 26. Let q(b) = -11*b + 27. Give -3*q(w) - 4*s(w).\nAnswer: 5*w + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -2*z**3\/11 + 14*z**2\/11 + 62642*z\/11 + 62626\/11 = 0.\nAnswer: -173, -1, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 5:16 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9373\/9 + -1041. Let j = 272 - 268. What is the second smallest value in r, 2, -7, j?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42596540 divided by 8519308\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m\/m**1)\/m)*m**5)**(-47) assuming m is positive.\nAnswer: m**(-329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36276 + 36276 + 2656*p to the form g + y*p and give y.\nAnswer: 2656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (515\/(-309))\/((-3)\/231*(-7)\/3)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o**2 - 3*o**2 + 2*o**2)*(-1 + 3 - 4) + (3 - 3 + 13*o)*(-o + 5*o - 3*o) + 2*o - 2*o - o**2 as q*o + y + b*o**2 and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 3*q + 47 = 0, -6 + 22 = 4*q. Suppose 23 = k*f - 166. Let -f*i**4 + 0 + 8\/3*i + 68\/3*i**2 + 42*i**3 = 0. Calculate i.\nAnswer: -2\/9, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2c (base 13) to base 8\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 15, 2*y - 108 = -4*c + 2758. Let w be 2\/6*6\/1. Suppose -k = w*k - y. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 22 + (-2 - (-3)\/(-3)). What is the greatest common divisor of 209 and t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of 0*c**3 + 1\/20*c**5 - 1\/120*c**6 + 0 - c**2 + 1\/12*c**4 + 0*c. Let a = 4 - 6. Calculate u(a).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + ((-3 - -34) + -3 - (-6 + 7)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 881656 + -5?\nAnswer: 881651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18\/1198199 or 1?\nAnswer: 18\/1198199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + d - 20. Let a be (-3 + 2)*-1*d. Suppose f - 10 = -a*h, -h - 2 = f - 8. Let v(s) = -4*s + 6. What is v(f)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 3 (b) 0.2 (c) -1\/4 (d) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 293 from 0.1.\nAnswer: -292.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 4 = -1. What is the units digit of (-6)\/(-3) - p*11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i + 1. Let u be t(1). Suppose 4*r = -2*z, 2*r - u + 12 = 4*z. Let q be (-1 + z)*1 + -1. Solve q = -5*h + 6*s - 4*s + 4, -4*h - s - 2 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1254 - -0.0322.\nAnswer: -1253.9678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -1. Let t(n) = 23*n + 92. Let q(b) = -92*h(b) - t(b). Let f(j) = 13*j + 66. Let g(x) = -28*x - 143. Let s(k) = -13*f(k) - 6*g(k). What is s(q(l))?\nAnswer: 23*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/1586)\/((-182)\/1183). Which is the closest to u? (a) -0.1 (b) -4\/3 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000081 rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/1391127 and -37\/51.\nAnswer: 1391127","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 91.590074 and -0.4.\nAnswer: 91.190074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o + 1. Let z(m) = 3*m + 2. Let v(y) = -4*c(y) + 3*z(y). Let j be v(2). Suppose -5*f - 6 = j. Sort 3, f, -3 in increasing order.\nAnswer: -3, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/59)*g**(-1\/13)\/g)**(-2) assuming g is positive.\nAnswer: g**(1704\/767)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -6, -3.\nAnswer: -8, -6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 928 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 10766, 20914, 31062, 41210, 51358?\n\"Answer: 10148*p + 618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -73*a - 569. Let d(c) = -303*c. Give d(f(z)).\nAnswer: 22119*z + 172407","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 8 = 3*g, -2*g = -4*t - g + 20. Solve 0 = -6*q + 2 + t for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 2*u**2 - 2*u + 2. Let n be f(4). Let t be n\/8 + 17\/(-68). Let r = 18 - 10. Solve -g + i + r = t*i, -3*g + 2*i - 16 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -302*l = -308*l + 462. What is the remainder when 2147 is divided by l?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 24*v**2 - 537*v - 3. What is b(22)?\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 991, 69 in decreasing order.\nAnswer: 991, 69, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 24 = -s, -61*s + 59*s + 4*u - 32 = 0. Are -38 and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1008 is divided by 155?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17460 by 3492.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 5 = -1. Let s be (-1 + -3)\/12*2. Let v = -131 + 131.03. What is the closest to 1 in v, s, x?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -13*b. Let l(h) = 49*h. Calculate l(j(v)).\nAnswer: -637*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 49, -0.4, -1\/3, 0.8?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -188, -1212, -3914, -9104, -17592, -30188, -47702?\nAnswer: -70944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -476*x + 0 + 0 - 1960*x.\nAnswer: -2436*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (6*(0 + sqrt(931)) - (sqrt(931) + sqrt(931)*-2 + -4)) + -4)*6.\nAnswer: 24 + 294*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4.4 in 0, 2\/9, 13?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 843 = 5*b, 23 = -2*b + 2*l + 365. Calculate the remainder when b is divided by 1 + -2 - (-13 - 0).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11126 (base 7) to base 5\nAnswer: 42223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 180*b + 4. What is r(1)?\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 417 and -15.\nAnswer: -6255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t\/(t*t**3*t*t)))\/t*t**2)\/(t**(1\/2))**(-31) assuming t is positive.\nAnswer: t**(43\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 7*k**2 - 12*k + 6. Suppose -3*f + 20 = 2. Let r be (-220)\/(-24) + (-1)\/f. What is the units digit of u(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 86\/23013 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -110121?\nAnswer: -110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*135\/(-108)*(-12)\/(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/45 - 38\/45. Let n = -7 - -7.5. Sort x, n, 2 in ascending order.\nAnswer: x, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/900 and -19\/498?\nAnswer: 74700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -3*k + 10, -4*k + 3 - 19 = -2*v. Solve -20 + 8 = v*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/l**3)\/l**(-4)*(l\/l**(-2\/13))**10 assuming l is positive.\nAnswer: l**(189\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27925, 55548, 82881, 109918, 136653, 163080?\nAnswer: 189193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*w = -169 - 116 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j - 59. Give o(-9).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 144 = 278. What is the remainder when v is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 453 - 447. Calculate the smallest common multiple of n and 243.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((36\/(-765))\/((-6)\/(-30)))\/(-2).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c + -78ac9?\nAnswer: -78abc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**0)**(-45)\/((u**(3\/8)*u*u)\/u*u*u*u**(2\/3)*u))\/(((u**(-1\/2)*u)\/u)**(-13)*(u*u\/u**(1\/3))\/((u\/u**1*u*u)\/u)) assuming u is positive.\nAnswer: u**(-1373\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - x = 11, -49 = -4*r - 6*x - 115. Let q = -1 - 7. Let z be (6 - 6) + 1\/1. Which is the nearest to z? (a) r (b) -1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**3 - 4*q**2 + 3*q - 6. Let z be r(4). Let a = -2231 - -2245. What is the greatest common divisor of a and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 21175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4*q. Suppose -3*k = 5*t + 21, -2*k + 4*t + 22 = -7*k. Let p be (k + 0)\/((-9)\/36). Let x(c) = -3*c - p*c + 16*c. What is a(x(r))?\nAnswer: -20*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 593*r**3 - 68*r**3 + 426*r**3 - 21*r**3.\nAnswer: 930*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*o - 38 = 0, -o = 2*l - 3*o - 60. Suppose y = -4*g + 255, 135 = 58*g - 56*g - y. Calculate the highest common factor of l and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 75, 64, 29, -42, -161, -340, -591, -926?\n\"Answer: -2*j**3 + 3*j + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 283\/20 - 67\/5. Suppose 0 = 5*i + 72 - 87. Factor 0*p + y*p**i + 0 + 3\/4*p**2.\nAnswer: 3*p**2*(p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 4*b - 68, -6*b - 4*m - 92 = -11*b. What is the greatest common factor of 6184 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 + -75. What is f rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/5, 100, -0.5, 1\/9?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 16) to base 12\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 m when three letters picked without replacement from {m: 4, a: 4, t: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -5bddc01?\nAnswer: -5bddc04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 15309034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12202200110 (base 3) to base 4.\nAnswer: 123231111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 15672349 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 + -6. Suppose p = 3*f + 2*f. What is the second derivative of 2*l - 3*l + 2*l - l**f wrt l?\nAnswer: -20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26059 is divided by 25900?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -13204.8 rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 4*x**3 - x - 2.\nAnswer: -4*x**3 - x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36719?\nAnswer: 73, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 838, -44, 0.2 in descending order.\nAnswer: 838, 0.2, -19, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*u - 171 = -427 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15422 + 15420. Let s(w) = 7*w**2 - 5*w. Let h(c) = 6 - 6 - 3*c**2 + 2*c. Determine v*s(l) - 5*h(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1879317 is divided by 3628.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7, -35, -149, -371, -737, -1283, -2045, -3059?\n\"Answer: -6*b**3 + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 divided by 10?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 16678 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 a factor of 773973?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1725 times 8\nAnswer: -13800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-28)\/(-14) + 2 + 1)*12. Let j(a) = 15 + 20 + k*a - 10 + 18. Is j(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 + -64 - -32) + 15?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 7*x**3 - 24*x**2 + 21*x - 7. Let w(i) = -3*i**3 + 12*i**2 - 10*i + 4. Let c(a) = 2*n(a) + 5*w(a). Is c(11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 3. Let k be 2\/((o\/4)\/(-1)). Let f = 8 + k. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 13*x - 2. Let p(s) = 14*s - 3. What is 6*o(w) - 5*p(w)?\nAnswer: 8*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1174.64 - -1156. Let s = g + 20. Let a = 8.26 - s. What is a rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15291 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 5*r - 76 = 0, -4*r = 3*f - f + 72. Let h(a) = 8*a. Let o be h(-2). Is 6 a factor of (f\/o)\/(1\/12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 24 = -2*q, -16*q + 4*n = -12*q - 24. Factor -72\/11 - 8\/11*x**3 + 94\/11*x**q - 24*x.\nAnswer: -2*(x - 6)**2*(4*x + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = 3*i - 60, 11760*w - 11765*w = -i + 96 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {a: 3, p: 4, q: 7, k: 1, j: 3}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 7059 divide 145936195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -444.5815 take away -0.5?\nAnswer: -444.0815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 5 - 16*w**3 - 31 - 4*w**3.\nAnswer: -20*w**3 - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/8501 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 263 + -263. Suppose -2*p = 2*v - 7919994, v + 2*p - 772482 - 3187512 = d. Round v to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 508.114 and -20.\nAnswer: -10162.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ghyj when four letters picked without replacement from {y: 2, j: 1, b: 2, g: 1, h: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 14*f**2 - 4*f + 6. Let q be d(-7). What is q rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30418458 and 2172747.\nAnswer: 30418458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 u, 1 y, and 1 e when four letters picked without replacement from {u: 1, e: 1, y: 2, s: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 768435992 to the nearest integer?\nAnswer: 916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-22)\/b)\/(b\/b**(-1\/7)) assuming b is positive.\nAnswer: b**(-169\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3390? (a) -0.0313 (b) 0 (c) -0.4 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/12 - 79213*k**2\/12 - 66015*k\/2.\nAnswer: k*(k - 79218)*(k + 5)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 5*o - 85, 3*n + 4*o + 54 = 6*n. What is the remainder when 41 is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6\/(-3))\/14)\/((-16)\/14).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/((r\/r**1)\/r))**(2\/11)*r**3\/r**(-3))\/(((r**(2\/3)*r)\/r)**(5\/7)*(r**(2\/7)*r)**(3\/29)) assuming r is positive.\nAnswer: r**(5681\/957)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -112 (base 3) in base 10?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 109.7474l in millilitres?\nAnswer: 109747.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 148 by 74.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 33\/4 in -4, -2\/11, -1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1559205214 to the power of 1\/2, to the nearest integer?\nAnswer: 39487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17430340 divided by 4.\nAnswer: 4357585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of r**5 + 3346822*r**3 - 7274516*r wrt r.\nAnswer: 20*r**3 + 20080932*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*d + 346 = 2 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3*x - 4)*(5*x**2 - x**2 - 6*x**2)*(x - 3*x - 3 + 1).\nAnswer: 12*x**4 + 12*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5038\/7 or 719?\nAnswer: 5038\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25813?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of 2*d**2 + 0*d**4 + 0 + 1\/60*d**5 + 0*d + 0*d**3. Let k(v) = -v**2 + 2*v**2 + v**2. Give f(k(o)).\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.3 + 0.3. Let i = g + -1. Which is the nearest to 2? (a) -4 (b) i (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 2*r - 652, 2*r + 3*b - 116 = 516. What is the remainder when r is divided by 100?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 11*p. Let z(v) be the third derivative of 2*v**5\/5 - 154*v**2. Give z(q(r)).\nAnswer: 2904*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 414\/5, 3\/1478, 3\/7?\nAnswer: 414\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 464 (b) -2\/7 (c) 0.2 (d) 8.8 (e) -0.9 (f) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70260 and 42512.\nAnswer: 746723280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3 + 5150*u**2 + 87839*u.\nAnswer: -u*(u - 5167)*(u + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p = -4*p + 2080. Let o = p + -110. What is the remainder when 32 is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 317 a factor of 161982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 21 = 2*g. Let s = 57 + g. Solve -5*v + s = 2*b + 3, -v + 9 = b for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 856\/321*(-42)\/4760?\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 135904367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 65508\/1442 + 48\/84\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20122 + 0?\nAnswer: 20122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 26 = -2*h, -t + 3*h + 4 = 9. Let z(p) be the third derivative of -1\/12*p**4 - 3*p**2 + 2\/3*p**3 + 0 + 0*p. Calculate z(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31230133 (base 4) in base 9?\nAnswer: -84847","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aag when three letters picked without replacement from gagya?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/26 and -121\/10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + -4 + (-2)\/1. Let x(d) = 19*d**2 + 25*d + 7. Let o(p) = -13*p**2 - 17*p - 5. Let k(g) = u*o(g) - 5*x(g). Find the second derivative of k(c) wrt c.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006155 to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6421, -25847, -58281, -103723, -162173, -233631?\n\"Answer: -6504*b**2 + 86*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 88920 and 912?\nAnswer: 177840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 8 = -4*s, 0*s + 1 = s - a. Suppose -35 = -6*u - s. Let w be (3\/u)\/(6\/60*2). Solve r = -w*v, 3*r - 8 = 4*v + 5 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + n + 3*g - 18 = 0, 0 = -3*n + 2*g + 76. Calculate the remainder when (-16)\/n*81\/(-2) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-3)\/273)\/(15686\/(-308) - -51)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -19. Suppose 0 = 2*j + l - 49. Suppose -j = -3*i + 2. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**42)**(6\/13)*(c\/c**(-6))**(-16) assuming c is positive.\nAnswer: c**(-1204\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 36\/(-4)*(-93)\/(-18) and 41\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6832 - -8070. What is the highest common divisor of s and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 247*h - 1704. Determine d(7).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8286*u**3 + 8397*u**3 + 1 + 2*u**4 - 3*u**4 to s*u**3 + h*u + z*u**4 + q + o*u**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 160\/153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000111 + -1000010100?\nAnswer: -1011011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, s: 1, u: 5, z: 9}. Give prob of picking 2 z.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l - 118. Let h(y) = 2*y + 11. Calculate -b(k) - 7*h(k).\nAnswer: -17*k + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0844 + 487.6844. Round f to the nearest ten.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 39424\/9, -74?\nAnswer: 39424\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 105\/72 + (92\/(-32))\/23. Let t(s) be the third derivative of 1\/3*s**4 - w*s**3 + 0*s + 0 - 1\/30*s**5 - 7*s**2. Factor t(u).\nAnswer: -2*(u - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 0*r = 4*r, -r = -y. Let u = y + 0. Let j = 6.03 - 0.03. What is the smallest value in u, -0.4, j?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97 - 17 = 8*s for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -a44a (base 13) to base 2\nAnswer: -101100010110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + -10. Let o be -9*(2 - n\/(-6)). Suppose o*m - 22 = 44. Calculate the greatest common factor of m and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6310*t + 110*t - 3817*t.\nAnswer: -10017*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26 or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0, 0.04, 3, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.111632993 + 0.405?\nAnswer: 0.293367007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 7. Let u = -22 - -52. Suppose 0 = -s*d + 6*d - u. Which is bigger: 16 or d?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 - -19.6. Sort -0.5, 0.1, g in descending order.\nAnswer: 0.1, g, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of 2*g**3\/3 + 16*g**2 - 21*g + 2. Calculate the remainder when 37 is divided by j(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.7867 times 6\nAnswer: -16.7202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 13 = 3*y, -y + 9 = k + y. Let d(p) = p**3 - p**2 - p - 1. Let u(n) = n**3 - 2*n**2 - 7*n - 2. Determine k*u(r) - 2*d(r).\nAnswer: -r**3 - 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of a**10\/126000 + a**9\/100800 + a**5\/10 + 2*a**2. Let m(j) be the third derivative of u(j). Factor m(k).\nAnswer: 3*k**3*(2*k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k - 10. Let o(y) = -17*y - 34. Let z be o(-2). Suppose z = -104*m + 105*m + 8. Calculate n(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-45)\/3)\/((-12)\/(-2240)). What is j rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 2*f + 14, -2*f + 3 = -s - f. Let v = -2 + s. Suppose -2*p + x = 3*p - 800, v = -4*p - 3*x + 659. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4*l = 18, 15*l - 16*l + 7 = -2*y. Let i be (2\/(-5))\/((-1)\/10). Suppose -i*g + 2*g = 4. Is g at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1001010110110001011 (base 2) to base 4\nAnswer: -1022312023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**23*w)\/(w\/(w\/(w*w**(-2\/29)\/w)*w))*(w\/w**(-2\/7))**(-3\/4) assuming w is positive.\nAnswer: w**(21197\/812)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of 0*j + 0*j**3 + 1\/16*j**4 + 1\/140*j**7 - 13*j**2 + 0 - 1\/80*j**6 - 1\/40*j**5. Factor z(b).\nAnswer: 3*b*(b - 1)**2*(b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -6.7.\nAnswer: 20.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7337 - -7344. Let n(o) = -24*o + 3. Let d(t) = -8*t + 1. Let s(a) = 8*d(a) - 3*n(a). Let w(b) = 5*b - 1. Calculate x*w(q) - 5*s(q).\nAnswer: -5*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1001285800 to the nearest one million.\nAnswer: 1001000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42 - 35. Suppose -2*c + 11 = w. Suppose -22 = -5*a + v, -4*v + 1 = -c*a - 1. Calculate the lowest common multiple of 1 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 7) in base 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + 7 + -2 - (4 + (-7 - -5)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3652 by -9.\nAnswer: -3652\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -223*f**3 - 250*f**3 + 483*f**3.\nAnswer: 10*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2241146003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.19 or -1529.2?\nAnswer: -1529.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -37.00299\nAnswer: -14.801196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5054992?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w + 31. Let p = 174 + -201. Let h be m(p). What is the third biggest value in -3, h, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36926 * 0.7.\nAnswer: -25848.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.76808 micrograms to nanograms.\nAnswer: 84768.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-34)\/g*g**(-29) assuming g is positive.\nAnswer: g**(-64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 375009 (base 11) in base 14?\nAnswer: 115bd6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a2 - -67?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 58747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/22 and -17\/48480246.\nAnswer: 533282706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121 is divided by 75.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*o + 4*o + 2 + o)*(-1869*o + 1014*o + 2090*o)*(-3*o**2 + 0*o**2 - 2 + 7*o**2) in the form t*o + y*o**3 + k + s*o**2 + b*o**4 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40731\/5 - 8146. Let o = -0.7 + 0.2. Which is the smallest value? (a) -1 (b) o (c) v (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-8))**(16\/11)\/(f**(-4))**(6\/5) assuming f is positive.\nAnswer: f**(-376\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 253 - 5469\/22. What is the common denominator of -49\/20 and b?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 r when two letters picked without replacement from {r: 1, l: 1, d: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -688 + 691 = -3*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 547065324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -59, -133, -237, -371, -535?\nAnswer: -729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1680.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6616 < 0.0376?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2274460*p**4 - 12356456*p wrt p.\nAnswer: 27293520*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 e when three letters picked without replacement from herhrrhahhrarrze.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -305*o - 4. Let b(i) = 7*i. Give j(b(w)).\nAnswer: -2135*w - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, v: 8}. What is prob of picking 1 v and 1 f?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1096167772 a multiple of 1036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/19))**(10\/7)*j*j\/(j\/(j\/j**(-4)))*j**5 assuming j is positive.\nAnswer: j**(1453\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 2\/9*b**3 - 52\/9 + 22\/9*b + 28\/9*b**2 = 0.\nAnswer: -13, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -5*y**4 - 305*y**3 - 300*y**2 = 0.\nAnswer: -60, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/((-195)\/27))\/(-21 + (-6919)\/(-330)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 293 - 34. Let v be (-1 + 2 - x) + -2. Round v to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 362*b*n**2 + 3*b*n - 46762*b - 27*n + 2 wrt n.\nAnswer: 724*b*n + 3*b - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 2\/27, 16, -3?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13903*a - 1764640 = -7617*a for a.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2. Let j(c) be the first derivative of -3*c**6\/20 + 39*c**3 - 109. Let f(t) be the third derivative of j(t). Determine y(f(u)).\nAnswer: 2916*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250 - 1220 = 35*u. Let v = 48 + u. Solve -5*c + 15 = -5*n, -c - 2*n + 0 = -v for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 - 799249*a + 159090154. Determine v(199).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000391902525 rounded to 6 decimal places?\nAnswer: 0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 57637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7956 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87602.\nAnswer: 2, 43801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 11907?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1939*z**2 - 2*z**3 + 1939*z**2 - z**3.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -43023 - 4?\nAnswer: -43031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1518613?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**4 + 20324*s**3 + 51612632*s**2 - 104933136*s - 4132275840 = 0.\nAnswer: -5082, -8, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**16\/v*(v*v**(-5\/11))\/v*v**27*v*v**(3\/22) assuming v is positive.\nAnswer: v**(939\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seven halves of a kilometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4273 - -5994844\nAnswer: 5990571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 r when three letters picked without replacement from {h: 6, r: 12}.\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(143 - 143 - 155*z + 1683*z).\nAnswer: 3056*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o + 5. Let x be h(1). Solve x*t = 5*m + 8, -7 = 4*t + 9 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -52*((-2014)\/76 - 1*4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*h**3*j**3 - h**3*j + 197*h**3 + j**3 wrt j?\nAnswer: 18*h**3*j + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4\/32*-58*-4 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15\/7 or -2\/353?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 19*o**2 + 21*o + 26. Let r be t(18). Let f be (-4)\/8 - 41\/(-2). Calculate the greatest common factor of r and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 92*n - 1468. Determine j(16).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 138*w + 17 + 13 - 30 to the form a*w + h and give a.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -971611, -1943225, -2914839, -3886453?\n\"Answer: -971614*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137936133?\nAnswer: 3, 79, 194003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1612 divided by 3?\nAnswer: 1612\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3*s + 3440 = 0. What is the common denominator of -16\/15 and -2*(-1)\/2 + s\/900?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(95) - (sqrt(95) - (sqrt(95) + (sqrt(95) - (sqrt(95) - -2*sqrt(95)))))) + sqrt(95)) - (-6*-2*sqrt(95) + sqrt(95)))\/(6*sqrt(605)*2)*1.\nAnswer: -13*sqrt(19)\/132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 6, 38, -2, 10, -4 in decreasing order.\nAnswer: 38, 10, 6, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14986 = 5*o - 4*f - 7087, -3*o - 2*f + 13257 = 0. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 12303*m**2 - 9129*m - 6. Let t(n) = 28707*n**2 - 21301*n - 14. Let q(z) = 7*t(z) - 16*v(z). Find the second derivative of q(a) wrt a.\nAnswer: 8202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*c - 10 = -0*c, -10 = -i - c. Find the common denominator of 405\/(-100) + 20\/80 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/11 - 7608\/(-22) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7880110?\nAnswer: 2, 5, 7, 112573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i - 35 - 13. Suppose -11*x + 15*x - i = 0. Sort 12, x, 5 in decreasing order.\nAnswer: 12, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 815995 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2120a (base 11) to base 3\nAnswer: 1120100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1712754 (base 9) in base 15?\nAnswer: 13c764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or -35918?\nAnswer: -35918","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -d**6\/120 - d**5\/12 + d**4\/4 + 11*d**3\/3 + d**2 + 315*d + 3. Give t(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 125117 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4746\/27 + 4\/18. Let m be -11 + -10 + 5 + (-2)\/(-1). Let u be (1328\/15)\/4 + m\/105. What is the highest common factor of t and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 4 + 218*s + 6*s**2 + 7*s**3 + 119*s - 342*s. Let m(q) = -q**3 - q**2 + q - 1. Calculate -f(k) - 4*m(k).\nAnswer: -3*k**3 - 2*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -1\/4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.2 and -0.5?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 28365707 to the power of 1\/2, to the nearest integer?\nAnswer: 5326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*sqrt(612)*-2 - (sqrt(612) - (sqrt(612) + -2)*-1)*4)**2 + -5.\nAnswer: -1536*sqrt(17) + 156731","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 221 - -55. Suppose -4*d = -0*d - i. Suppose r = -2, -5*f - 5*r = -2*r - d. Solve -q = 2*q - f for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of c**5\/20 - 5*c**4\/12 + 5*c**3\/6 + c**2\/2 + 2*c. Let a(z) = z - 25. Let q be a(7). Let w = q - -22. Give p(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0010805077964 to 5 dps.\nAnswer: 0.00108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -23 - 12. Let j(a) = 2*a**2 + a - 9. What is the remainder when j(c) is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -53290 and -3.\nAnswer: -53293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10517 + -10311. What is the highest common divisor of 721 and m?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -173763 + 1847989?\nAnswer: 1674226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(1377)*-6*-1 + (sqrt(1377) - (-3*(sqrt(1377) + 2))**2)*-2.\nAnswer: 360*sqrt(17) + 24858","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 763?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39736, 39761, 39802, 39865, 39956, 40081, 40246, 40457?\nAnswer: 40720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5997539281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 161 times 1.2?\nAnswer: 193.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, 2\/5, -23, -19592?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9615.5 - 9615. What is the biggest value in -0.2, 2.1, p, 1\/9?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 300414 - -23?\nAnswer: 300442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - -20 - (-4 + 9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -3. Suppose -2*b = -2*k - 0*b + f, 2*k - 13 = 5*b. Let y = 2 - 4. Which is bigger: y or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-four fifths of a litre?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 161.\nAnswer: 4\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1491)\/6958*16\/6.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (23\/(-69) + (-2)\/(-18))\/((-16 - 0)\/(-1008))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28*b**4 - 32*b**4 + 34*b**4 + (8*b**2 + 12*b**2 - 18*b**2)*(-2 - 2*b**2 + 2).\nAnswer: 26*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 820 and 23534.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 + (-2)\/8*-4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201886 (base 11) to base 4.\nAnswer: -1033032033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.9 + -10.9. Let r = k - -11. What is the closest to r in -0.4, 2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 665\/57 - (-11)\/33. Let y(j) be the first derivative of -35\/4*j**4 + 0*j + 15*j**3 - g - 5*j**2. Suppose y(h) = 0. Calculate h.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 8*o**2 - 1. Give g(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2820*j + 19728. What is v(7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4884 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z - 4. Let d be g(-6). Factor d - 2 + 0 - 2*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -58 or -55?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -64*s**2 + 11*s - 15. Let i(g) = -31*g**2 + 5*g - 8. Let f(x) = 7*i(x) - 4*u(x). Find the second derivative of f(n) wrt n.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 3*i = -84, -5*s - 4*i + 104 = -0*s. Let a(f) = 2*f + 48. Let u be a(18). What is the greatest common factor of s and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 93 - 92.7. Let w be ((-8)\/28)\/((-2)\/4). Let q = -0.2 + 1.2. Which is the second biggest value? (a) q (b) h (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 12:32 AM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 1202*p**2 + 4. Let t be m(-6). Let f = t - 1514552\/35. Let z = -23\/7 + f. Put z, 2, 0.3 in ascending order.\nAnswer: z, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 + 21. Let q be p\/(-26) - (-60)\/624. Is -31 bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*s - 7747 = -323*s - 249*s + 11756 for s.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h - 8. What is j(-8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 75 + -54. Suppose -6*k = -s - 159. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5 - 6 = 0. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6861*g - 385*g + 307 + 283 + 128 - 1724*g wrt g?\nAnswer: -8970","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -84 + 193. Let i = 47 - 32. Calculate the remainder when d is divided by 280\/i*(2 - -1).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46 - -1. Let l = g + -42. Solve -3*c = -2*j - 10, -c - l*j - 36 = -11 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 2 k, and 1 s when four letters picked without replacement from wkkikkisiw.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 1:09 PM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1282*c*u**2*x - 522*c*u**2 - 2*c*u + 273474*c - 96*u**2 + x - 2 wrt u?\nAnswer: 2564*c*x - 1044*c - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**2 - 3*l. Let u = -9 + 14. Let m(g) = -3*g**2 + 7*g - 1. Let h(w) = u*z(w) + 3*m(w). What is h(-8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 8:24 PM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.041775 - 1.2.\nAnswer: -1.158225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44886242?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87131?\nAnswer: 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (21 - 20)\/(0 + 1). Is 7\/9 bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116350909.\nAnswer: 116350909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 410166 divided by -205083?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -59 + 31?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*v**3 - 38*v**3 + 22*v**3.\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/(-8))\/((-272)\/748)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/(-5) - (1 + (-4)\/5). Solve j*n + 3 = 4*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54743 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 + -4)*(2 - 1). Let s be m + 3 + 24\/(-11). Let h = 6.2 - 6. Which is the third biggest value? (a) 2\/9 (b) s (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 110111?\nAnswer: -110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.6 and -0.044?\nAnswer: -0.0264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 75*f - 29. Let l(j) = 85*j - 35. Let m(c) = -5*l(c) + 6*s(c). Let g(v) = 74*v + 3. What is -3*g(k) + 8*m(k)?\nAnswer: -22*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10 - -1 - 814990\/78848 - (-12)\/(-14) and -33\/64?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) - (5 + sqrt(125) + (sqrt(125) - sqrt(125)*-1) + sqrt(125))**2)*-2.\nAnswer: 390*sqrt(5) + 4050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/7 or 14303470?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3 + sqrt(1900) + 2 - (sqrt(1900) + (0 + -4*sqrt(1900) - sqrt(1900)))**2).\nAnswer: -30404 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*t + 6. What is the lowest common multiple of 6 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 10 = 5*y. Let i be (y\/(-3))\/((-15)\/45). Suppose -i*r = 2, -f + 5*r = -16 + 2. Calculate the remainder when 20 is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3 = 11. Suppose -z*y + 0*y - 2 = 0. Let o(f) = -37*f. List the prime factors of o(y).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3.469959ng?\nAnswer: 0.000000000003469959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - -3 - 4) + 6. List the prime factors of -6 - -1 - (-1021 + n + 0).\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 5*x**2 - 26*x + 354. Determine d(9).\nAnswer: 525","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25169?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 2\/35 (c) 225\/7 (d) -4 (e) 5 (f) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*w**2 - 101*w**2 + 210*w**2.\nAnswer: 17*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w**2 - 2*w**2 + 0*w**2 + (w**2 + 2*w**2 - 4*w**2)*(3 + 0 - 2))*(-15*w - 18 + 18) in the form g*w**3 + t*w + k + q*w**2 and give g.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 10 = -14. Suppose 837 + 48739 = p*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 7 + -2 + (-2 - 3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.4*-1524.4222.\nAnswer: 3658.61328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -16116310 divided by 460466?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-9) - 1940\/180. Let q(v) = -11*v + 14. Let p be q(x). What are the prime factors of -4 + p\/(-6)*-2?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -3*b + 14452, -210*b + 205*b + 24055 = 2*c. Is b even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express s**2 + 1720*s**3 + 12 - 4*s - 3444*s**3 + 1706*s**3 + 2*s**4 + 0*s in the form l + z*s**4 + n*s + k*s**2 + r*s**3 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.19 and 0.089.\nAnswer: 0.01691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -272270*z**2 + 7885 wrt z.\nAnswer: -544540*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 963*s**4 - 2*s**3 + 954*s**2 + 5?\nAnswer: 23112*s - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) -1\/4 (c) 294 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 26368620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 + -13 + (32 - 30).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/(6*sqrt(3)*2) + -2.\nAnswer: -2 + sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 - 70*g + 361. Determine m(-75).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/(-2*sqrt(216) - sqrt(216) - sqrt(6))*-5)**2 + (1*sqrt(171)\/sqrt(3))\/(sqrt(432)*1).\nAnswer: sqrt(19)\/12 + 25\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9, -7, 2\/7, -0.2, -3, -0.019, -71\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**3\/4 + 39*r**2\/4 - 90*r - 100 = 0 for r.\nAnswer: -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151*g + 153*g - 37*g**3 - 304*g.\nAnswer: -37*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 29*d + 38 + 0*d**3 + 14*d**2 + d**3 + 21*d + 4*d**2. Does 16 divide o(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 times -9530\nAnswer: 285.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) 4\/9 (b) 8 (c) 0.9 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 10) to base 9\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 190564432 to the power of 1\/3, to the nearest integer?\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 - 8185357223417?\nAnswer: -8185357223232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 2*m + 14. Give f(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n + 17. What is y(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/11 (b) -0.5 (c) 3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**2*t**(-2\/11))\/(t**(1\/3))**(-1\/38) assuming t is positive.\nAnswer: t**(2291\/1254)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 58 - 53. Suppose -f - 26 = 5*b, 10*f + 25 = j*f - 4*b. Which is smaller: f or -2\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*t = -12, 0 = 5*l - 6*t + t - 15. Solve 1 = -k - 2, l*u + 6 = k for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-291*d**4 - 165*d**4 + 125*d**4)*(-2 + 0 + 5)*(-23 - 22 + d + 41).\nAnswer: -993*d**5 + 3972*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 377*c = -2*b + 378*c + 13, 2*c = -4*b + 6 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003742846 rounded to 6 decimal places?\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 1010012011?\nAnswer: 1010012000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 2*s - 12. Suppose 9 = -3*o + s*o. Let n = 63649 - 63651. Which is the nearest to -0.1? (a) o (b) 5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33559 - (48\/(-6) - (-16 + 20))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1306 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: Let a = -333.1 + 5.1. Let l = 328.294 + a. What is l rounded to two decimal places?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 624 = 9*d - 7*d. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - 3*t + 2*t)*(-t**2 + t**2 - 4*t**3 + (t**2 + t**2 + 0*t**2)*(-t + 46 - 46)).\nAnswer: 12*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -10. Let o(j) = -4*j**2 + 9727832*j - 8 + 3*j**2 + 0*j**2 - 9727841*j. Calculate o(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15967 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 9:32 AM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1653.8 - 1654. Let k = 7 - 2. What is the third biggest value in b, 0.4, -2\/11, k?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -145 divided by 45?\nAnswer: -29\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -211415065 - 64?\nAnswer: -211415162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37\/4 - 10. Let v = -7\/20 - n. Let i = -0.2102 - -0.3102. Which is the nearest to v? (a) -2\/11 (b) 3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 11 = 4*w, -3*y + 3*w + 19 = w. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b**2 - 2 + 2 + (3 - 3*b - 3)*(-2476 + 2476 - 58*b).\nAnswer: 178*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-429)\/(-2079) - 2\/(-9). Which is smaller: d or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 323473911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4656 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**3 - 3*s - 1. Let l(x) = x. Let t(c) = 12*c - 2*c**3 - 15 + 19*c**2 - 37*c**2 - 7*c**2. Let i be t(-13). What is i*z(b) - 6*l(b)?\nAnswer: -4*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.3 (b) 11\/2 (c) 3 (d) 1 (e) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/450 and -89\/18.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-100)\/8 + (-10)\/4. Let t = 48 - i. What is the highest common divisor of 42 and t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 193*j + 381. Calculate f(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -221 (b) 5 (c) 4772 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46833 is divided by 9336.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n + 3. Let y be p(5). Let u = -66 + 74. Suppose l = y + u. What are the prime factors of l?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2 - 8920*z + 9945800.\nAnswer: 2*(z - 2230)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 167593679?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 279110.8 tonnes to kilograms.\nAnswer: 279110800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q + 5. Is k(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 v when two letters picked without replacement from yvfzxfvzyvfyfryzv?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/31 (b) 1 (c) 0.11 (d) -0.3 (e) 1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 671978.\nAnswer: 2687912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -317*i**2 + 6*i - 16 wrt i?\nAnswer: -634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - 17) + 3 + 5 - (-169 - -119)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1225?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-3))\/((-8)\/(-36)). Suppose -o*u + 2*u + 4 = 0. Suppose -14 = -2*c - c + 2*g, 0 = u*c + g - 37. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69309*d - 69313*d - 4*c = 8, -5*c = 2*d + 13 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.278 + -84.278. Let v = a + 91. Is v at least as big as 0.19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**2 + 2*j + 4. Let m(g) = -5*g**2 - 6 - 9 - 5*g + 4. Let s(z) = 3*m(z) + 8*y(z). Let x(h) = -12*h**2 - 11*h + 11. Calculate 22*s(t) + 2*x(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7792695 or -7792693?\nAnswer: -7792695","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-20) + 2\/(-10). Which is the nearest to 0? (a) -5 (b) -1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 10:32 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 30*z = 1748*z + 132*z - 47675 for z.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -2. Suppose w - 5*f = -4*f + 5, 2*f = -b*w + 2. Suppose -y - 2*x = 999998, y + 999999 = -3*x + w*x. Round y to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 1)*(-1 - 6 + 6)*(-4 + 3 + 0)*(4*v**2 - 2*v**2 + v**2) to the form n + b*v**2 + p*v and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of -11\/24*j**4 + 0*j - 6*j**2 + 2*j**3 + 0. What is the first derivative of b(t) wrt t?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/39 - (-7)\/(21\/(-2)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226*d = -54*d - 82*d + 3620 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/1032 and 123\/301000.\nAnswer: 903000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/10*(-1)\/(-2)*(-305)\/122.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z, 1 w, and 1 b when four letters picked without replacement from {h: 4, z: 3, b: 4, w: 5}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, n: 4, u: 1, y: 1, a: 4}. Give prob of picking 1 n, 1 a, and 1 y.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 5 = -2*m + 5, -2*m + 2*l = -6. Let r(n) = 2*n**2 + n + 1. Suppose -5*k + 4*k - 2 = 0. Let c be r(k). What is the highest common divisor of c and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(700)*1 - sqrt(700)) + -2)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58 - 58. Let s(b) = -2*b**2 + p + 4*b**2 + 0. Let x(r) = -19*r. What is x(s(c))?\nAnswer: -38*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x - x - 3*x)*(-4*x + 10*x - 11*x**2 + 13*x**2)*(-3 + 6 - 2) in the form y + l*x**3 + d*x + i*x**2 and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -1, 62, -3, -4306, -30 in decreasing order.\nAnswer: 62, -1, -3, -11, -30, -4306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -443 + 6 - 161 = -26*c for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (23\/(-20) + 12\/16)*-105. What is the greatest common factor of 14 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3062, 3057, 3052?\nAnswer: 3047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -176, -175, -174?\nAnswer: -173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1809 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 10.4. Let v(z) = -z**2 - 1. Let w be v(1). Let m be 5\/(-3)*w\/(-35). Which is the biggest value? (a) m (b) 1\/3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 32349177700 to the nearest 1000000.\nAnswer: 32349000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 8 = -d, 2*d - 19 = 4*m - 5 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -59.292 to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*((-807)\/(-2690))\/((-2)\/((-20)\/(-6)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of 3*p**8\/14 + p**5\/4 - p**4\/12 + 29*p**2. Find the third derivative of k(x) wrt x.\nAnswer: 4320*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-29)\/n**(-37) assuming n is positive.\nAnswer: n**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 117 and 33760.\nAnswer: 3949920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6664, 53011, 178800, 423751, 827584, 1430019?\n\"Answer: 6620*l**3 + l**2 + 4*l + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 52*l**2 - 224*l + 311. Let a = 14 - 17. Let c(f) = -4*f**3 + 156*f**2 - 672*f + 936. Let w(i) = a*c(i) + 8*p(i). Suppose w(d) = 0. What is d?\nAnswer: 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19505?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, f: 17}. What is prob of sequence fffz?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3912?\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 6565 = 4*s, 34*k - s + 19760 = 37*k. What is the thousands digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 0 - (-187)\/44.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.1, 1, -8\/7, 5529, -3\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 51*k**2 - 50*k**2 + 771*k - 1564*k + 652*k + 4 as v + a*k**2 + j*k and give j.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -103 - -153. Let y = -48 + u. Suppose d = 2*f - y*d - 398, -4*f - 4*d = -776. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29353888 and 293538880?\nAnswer: 293538880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -2*q - 14. What is the remainder when (q\/3)\/((-4)\/(-18)) is divided by 46\/4 + (-2)\/4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.85822479972404 + 0.\nAnswer: 0.85822479972404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (19\/(-66))\/(2\/6) and (-602)\/(-60) + 1\/(-3)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 6:34 AM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + 2*j + 1. Suppose 5*w + 7*l - 17 = 3*l, 4*w = -2*l + 16. Suppose 2*i + i = -w*n - 22, 0 = -i - 3*n - 10. Calculate y(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 739605500?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - m - 250 = 0, -i - 4*m = -54 - 0. What is the highest common factor of i and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 1. Let a(x) = 12*x**2 + 6. Let q(d) = -3*a(d) - 18*h(d). Let m(o) = 7*o. Give m(q(b)).\nAnswer: -126*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 506354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -232*b**2 - 9*b - 6. Let w(d) = -3*d - 1. Determine -a(p) + 4*w(p).\nAnswer: 232*p**2 - 3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -5*l**3 - 95*l**2 - 31*l - 65. Is f(-66) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -4*n + 163. Let g be s(40). Let y(r) = -44*r**2 - 30*r**2 + 1 - r**g + 74*r**2. Give y(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 32\/277 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 8 = -443*f + 441*f, -2*z - 2 = 0. Let l = 30 + -9. Solve -r - 5*m = -l, -5*r + 2*m = -f*r + 22 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 2*i - 8, -5*l + i = -i + 8. Is l equal to 1\/130?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1097, -3416, -5763, -8150, -10589, -13092, -15671?\nAnswer: -18338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 2124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4 - -334)\/(42\/476).\nAnswer: 2, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - 2)\/((52\/(-2024))\/13) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 565*v - 2 - 238*v**3 + 4 + 239*v**3.\nAnswer: v**3 + 565*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*p - 88*p - 4*l = -4784, -3*p + 3604 = -l. Is 30 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1539 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - ((-1 - -3) + 4)) + 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*b = -50*b + 80. Let y(g) = 53*g + 22. Let q be y(2). What is the greatest common factor of b and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -8 (b) -1.3 (c) -0.033 (d) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r + 44 = -2*j, 4*r - 24*r + 29 - 129 = -5*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 106 + -50. Let r = -3061710.4 + 3061766.400158. Let v = j - r. Round v to five decimal places.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 124*x**2 + 251*x + 665. What is c(-122)?\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3181713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 171 and 166242?\nAnswer: 9475794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -0.024.\nAnswer: -0.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 245 - -10561?\nAnswer: 11136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*b + 22*b + 5*b**2)*(11*b - 9318 + 11*b + 9333).\nAnswer: 110*b**3 + 75*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.09117106686 to 2 decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/6 and 92\/72 + (-2)\/3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 138377, 136582, 133597, 129428, 124081, 117562, 109877, 101032?\n\"Answer: q**3 - 601*q**2 + q + 138976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 24341649.\nAnswer: -7302494.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 37185547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 8 = 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 5 + 0 + -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 13*k - 9*k. Let v(c) = 16*c**2 - 6*c + 5. Let r be v(k). Let u be (r\/19)\/(3\/4). Solve -5 = -u*l + 7 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 388865 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 385, 1531, 4645, 10711, 20713, 35635, 56461, 84175?\nAnswer: 119761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**2 + 1 - 3*g**3 - 10 - g**3 + 6*g + 5*g**3 to a*g + v*g**3 + n*g**2 + w and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -27*g**3 + 27*g**2 + 5. Let z(s) = 40*s**3 - 40*s**2 - 7. Let m(j) = -7*d(j) - 5*z(j). What is the third derivative of m(c) wrt c?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25382*s + 199*s**2 + 25382*s - 1 to the form a*s**2 + q*s + t and give a.\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -1201484375*r**4\/4 + 400846875*r**3 - 195331500*r**2 + 40721940*r - 3000564 = 0. What is r?\nAnswer: 6\/35, 126\/325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.8 (b) 1\/6 (c) 0.1 (d) -6\/115 (e) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, 2\/9, -22, 0.\nAnswer: -22, 0, 0.04, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 3*p - 15, 5*p - 5 = 20. Let o = 51 - -99. Suppose 5*z + h*z = o. What is the greatest common divisor of z and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/8 of a day?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -4*g**5 - 84*g**4 - 412*g**3 + 84*g**2 + 416*g = 0.\nAnswer: -13, -8, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4525, -9040, -13535, -18010?\nAnswer: -22465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 204166 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30934458 divided by -2351.\nAnswer: 13158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -2*h**3\/3 - h. Let p(d) = -11*d + 5. Let n(b) = 30*b - 14. Let v(c) = 5*n(c) + 14*p(c). What is r(v(f))?\nAnswer: 16*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 + -6.2. Let f = a + 6.1. Let o = 0.3 + -0.4. Put 0.2, o, f in ascending order.\nAnswer: o, f, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-4))\/((-9)\/(-6))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**2 - 3*p**2 + p**4 + (5*p - 2*p - 2*p)*(2*p**3 - 2*p**3 + 2*p**3) + (1 + 0 + 1)*(15*p**4 - 84*p**2 + 84*p**2).\nAnswer: 33*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/3 + (-24)\/(-36). Suppose c = -2*a + 4*a + 32. Let y = a - -19. Let f(v) = v**3 - 5*v**2 + 2*v + 1. Give f(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*x**2 + 26*x**2 - 6*x**2 as q*x**2 + i + c*x and give q.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 131*y + 2353. Calculate u(-18).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -12 - ((-268)\/(-33))\/(68\/(-102)). Let q be 4\/216*2*-4. Are j and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 0 - 5)*(-3*t + t + t)*(2*t + 0 + 0).\nAnswer: 32*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 424 - 247?\nAnswer: 1dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 4*b - 2, -5*m + 5 = 3*b - 5*b. Suppose -6*l + 155 = -l + 5*z, 3*z - 9 = b. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19302400 rounded to the nearest 100000?\nAnswer: 19300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - a + a)*(0 + a**2 + 0) - a**2 - 4*a**3 + a**2 + 17*a**3 + 28*a**3 + 21*a**3.\nAnswer: 61*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/18 - (-19)\/(228\/32)\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t**5 + 3*t**4 - 7*t**3 - 27*t**2 - 18*t = 0.\nAnswer: -3, -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2117*v + 8748. What is i(-4)?\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -352313+-21.6948\nAnswer: -352334.6948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*c - 3*o + 34136 = -25*c, 17070 = 2*c + 2*o. What are the prime factors of c?\nAnswer: 19, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*k**3 + 5*k**3 + k**3.\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.2 - -3. Let p = -91\/60 - -1\/60. Which is the nearest to 4? (a) 4 (b) p (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*a - 843 - 747 + 1480 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 19 + 281?\nAnswer: 29a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 572661557 to the power of 1\/2, to the nearest integer?\nAnswer: 23930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1977.0337 rounded to the nearest 10?\nAnswer: -1980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3353 - -2?\nAnswer: -3351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3.19293 and 144.5?\nAnswer: 147.69293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z. Let p be b(-5). Suppose p*i - 71 = 3*j, -3*j = j + 8. Suppose -15*h - 4911 = -5451. What is the remainder when h is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 123\/6 + (92 - (-23084)\/(-232)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 318?\nAnswer: 2226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2 - 8561510*n - 299646725.\nAnswer: -5*(n + 35)*(n + 1712267)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -141102 (base 7) in base 16?\nAnswer: -68b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 10 + 10. Let s be ((1 - -1) + -7)*b\/(-10). Put -5, 7, s, 5 in increasing order.\nAnswer: -5, s, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8 and 522337936.\nAnswer: 522337928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 64885 or 64888?\nAnswer: 64888","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**3 - 5*z**3 + 3*z**3)*(0*z - 6*z + 2*z) - 2*z**4 - 2*z**3 + 5*z**3 + 4*z**4.\nAnswer: -6*z**4 + 3*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-118)\/4*(1 + 1). Suppose 7*r - 574 = 5*g, 23*r - 5*g - 410 = 18*r. Let b = n + r. Calculate the least common multiple of 11 and b.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.036844 rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.989 - -0.011. What is the third smallest value in k, -4, 0.06, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 42481*v. Let q(m) = -6766*m**2. Calculate q(i(c)).\nAnswer: -12210162852526*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121011212001021 (base 3) to base 12.\nAnswer: 2a68051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -306*a - 855*a - 320*a - 304*a + 1785*a + 2*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 3:59 AM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4563176 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Sort -1171, 2.2, -3, 2\/109, -11\/6.\nAnswer: -1171, -3, -11\/6, 2\/109, 2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 11:30 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, -2, 3, 67 in descending order.\nAnswer: 67, 3, -2, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6559, 7444, 8329?\n\"Answer: 885*n + 5674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.322 - -0.222. Put -5, -0.5, 0, k in decreasing order.\nAnswer: 0, k, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 90.871 + -1.771. Let a = k - 89. What is the nearest to a in -1\/3, 1\/9, 3?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3935*l + 25. Let b(p) = -1313*p - 9. Calculate 17*b(z) + 6*t(z).\nAnswer: 1289*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 131898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64627, 129275, 193925, 258577, 323231, 387887, 452545?\nAnswer: 517205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - l - 2*l)*(-4 + 16 + 5) - 2 - l + 2 + (-4 + 6 + 0)*(-2*l + 2*l + l).\nAnswer: -67*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -15189, -15284, -15443, -15666, -15953, -16304?\n\"Answer: -32*z**2 + z - 15158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 c when two letters picked without replacement from {c: 6, i: 1, p: 3, g: 3}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -17*j**2 - 113*j - 1. Let g(n) = 28*n**2 + 227*n + 1. What is 5*d(c) + 3*g(c)?\nAnswer: -c**2 + 116*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p + 2. Let z be g(-2). Suppose z*n - 11*n + 20 = 0. Suppose -n*s - 2*s = -456. What are the prime factors of s?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 - 16 = 2*d - 5*w, 3*d + 71 = -2*w. Let c = d + 49. Suppose -2*j + c = -4*s, -4*j + 2*j + 22 = -2*s. Solve -o - 4*o = -j for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -1.2563 to one dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 1906822573?\nAnswer: 1906822583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**2 + 0*i**2 - 2*i + i + 0*i**2 in the form l*i + y + q*i**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2097 + -1509. Calculate the least common multiple of i and 21.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10 + (-1280)\/130 - (-48)\/26. Factor 6*o**c + 4*o**2 - 20*o + 16 - 6*o**2.\nAnswer: 4*(o - 4)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3 and -0.0389100497.\nAnswer: -3.0389100497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1533107902?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 133 - 76. What is the remainder when n is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n, 1 o, and 1 x when four letters picked without replacement from nnnxhnnokhdnnhno.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/4 of a hour?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f + 4*f + 737*f**3 + 356 - 365.\nAnswer: 737*f**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, h: 5, d: 11, y: 2}. Give prob of picking 1 y, 1 q, and 1 d.\nAnswer: 11\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -26*o + 22*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -3 (c) -33 (d) -488 (e) 6.14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 13) to base 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3 (b) 0.5 (c) -0.5 (d) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2\/3 + 3223204*i\/3 + 3223216.\nAnswer: -4*(i - 805804)*(i + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*-14 + (-4)\/(-2). Let k be (-2 + 1 - x)*1. Suppose 4*v = 38 - 14. Solve -3*u = -o - v*u + k, -4*o + 4 = 4*u for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in 2\/21, -1\/4, -1?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o*o**(2\/17))\/(o*o\/o**(2\/33)*o))\/(((o\/(o**(1\/4)\/o*o))\/o)\/(o**(-2\/33)\/o)))**(-1\/5) assuming o is positive.\nAnswer: o**(111\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1107958)\/(-136) - (-2)\/8 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -13, -101, -261, -505, -845, -1293, -1861, -2561?\n\"Answer: -2*f**3 - 24*f**2 - 2*f + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + 7*t + 17. Suppose 0 = 4*m + m - 35. Let s be i(m). Suppose 3*z - c = -0*z + s, -z + 5*c + 29 = 0. Put -2, z, -3, 5 in decreasing order.\nAnswer: 5, z, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -340*s + 135 = -349*s. Let i(m) = -m**2 - 15*m - 13. What is i(s)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -6. Let g(w) = 14*w**2 + 2*w - 3. Let s be g(2). Suppose 2*j - s = -3*h, k*j = 6*j + 9. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 801247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/143 at most as big as -45910?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177328458?\nAnswer: 2, 3, 257, 38333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4160 + 670373?\nAnswer: 674553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20231 - 0?\nAnswer: 20231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, i: 4, s: 5}. What is prob of picking 1 i and 3 s?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 91\/3, 6071, 1\/6 in increasing order.\nAnswer: -3, 1\/6, 91\/3, 6071","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -26.0988657 to one dp.\nAnswer: -26.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*7\/(-28)*-12. Let y(p) = -3394*p**3 + p + 0*p + 3395*p**x + p**2 + 3. Calculate y(3).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*c = 49*c + 77*c + 8*c + 4256 for c.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**2 + 2*c**3 + 4*c**2 + 17 - 17.\nAnswer: 2*c**3 + 7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -6 (b) 2\/11 (c) 0.1 (d) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1848872?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 3*d = 36, 5*g = 2*g - 5*d + 42. Does 12 divide 6\/g*(-2 + 92)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)\/(sqrt(4)*-1) - (sqrt(4131) - 2*sqrt(4131)))\/(sqrt(33)\/(sqrt(11) + (1*sqrt(99))\/sqrt(9) + sqrt(11))).\nAnswer: 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -61 + 5?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 8*o + 4. Let b be u(4). Suppose -16*s + 13*s + b = 0. Is (402\/s)\/(1\/2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 20 = 4*s, f - 8*s = -9*s + 11. Solve 152*g = 154*g + f for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 + -447 - (-4 + 10 + 6 + -1)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 171 + 179. Calculate the highest common divisor of b and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240785 is divided by 1376?\nAnswer: 1361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24881154 - 348532197\/14. Let s(w) = -3501*w**2 - 8*w - 8. Let d be s(-2). Let n = d - c. Calculate the common denominator of 49\/4 and n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 2*l - 54, k = -2*l - l + 88. Let h = -13 + l. Let f(i) = i**2 - 17*i + 4. Let r be f(h). Solve 2 + 10 = r*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.453, 0.1, -0.5, -6\/11, -4?\nAnswer: 0.453","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (24 - 42) + 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 82876880 a multiple of 710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 6. Let u(l) = 6*l**2 - 5*l - 1. Let d(t) = t**2 - 20*t + 22. Let n be d(19). Let f(s) = -3*s**2 + 3*s + 1. What is g*f(w) + n*u(w)?\nAnswer: 3*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.039 - -3.061. Let o = -19.89 + 17.9. Let u = n + o. What is u rounded to one dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1257 - -2*1) + (-8 - 25 - -27).\nAnswer: 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -6*i**2 + 10*i + 5. Let d(k) be the third derivative of k**5\/60 - k**4\/24 - k**3\/6 + 68*k**2 + 13. Determine -10*d(p) - 2*m(p).\nAnswer: 2*p**2 - 10*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4896 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2521*m - 123521. Give c(-49).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 101.802946 - 101.8. Round f to four decimal places.\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52371990 divided by -1745733?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from llllxx?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*m**2 + 7*m**2 - 8*m**2 + 6*m**2.\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*u = -5*g + 10, -3*u - 14 = -g. Let p be 3\/((45\/24)\/g). Solve 5*w + p - 22 = -2*h, h - 5*w + 8 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3 = -2*q, 0 = 4*a - a - 5*q - 9. Is (17\/(-1))\/(a\/(-9)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2 + (sqrt(252) - (-2 + sqrt(252))) + 1 + sqrt(252) + 1 + sqrt(252))*-5 + -1)*-1)**2.\nAnswer: 1320*sqrt(7) + 25321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of k**4\/4 + 5*k**3\/3 - 3*k**2 + k + 7. Let h be z(-6). Does 2 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4600000 rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 273\/(-20)*((2 - (-510)\/108) + -7) and -2\/123.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 874 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - -23) + -2 + 1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1263 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 37230?\nAnswer: 2, 3, 5, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/4 of a litre?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -304?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 + 38. Suppose -2*d = -7 - p. Suppose -k - d = -l + k, -25 = -3*l + 4*k. Solve -l = w - 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-312)\/36*(-6)\/4. Let f = 26 - t. Calculate the remainder when (-808)\/(-16) + (-1)\/2 is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*a**6 - 17*a**4 + 3441*a**2 wrt a.\nAnswer: 2400*a**3 - 408*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 + 6*j + 67. Let i be r(11). Solve 15 = i*p - 7*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -618 = 5*v - 548 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 664537251?\nAnswer: 3, 7, 31644631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 + (-10080)\/(-675))*-33*((-8)\/(-2) - -1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k**2 - k**2 + k**3 + 3*k**2 - k - 5. Let m be n(0). Let o be m\/((-70)\/4) + 0. What is the closest to o in 2\/11, 4\/5, -3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i + 0*i + 6*i - 2 + 2 - i + (-4 + 2 + 4)*(i - i + 3*i) - 1 + i + 1)*(10*i - 2*i + 15*i).\nAnswer: 184*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 246049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*p + 3\/5*p**2 - 192\/5.\nAnswer: 3*(p - 2)*(p + 32)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = v + 1, -105*v + 108*v = -3*p - 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 14*g + 9. Let i be x(0). Solve 5*o - i*o - k - 21 = 0, -2*o = k + 13 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -a2aa4?\nAnswer: a2aa6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4099 + 4108. Solve -5*z + 4*i + 32 = -k*z, -14 = -2*z + 4*i for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.87, 0, -0.1, -5, 5 in increasing order.\nAnswer: -5, -2.87, -0.1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n*n**(-2))*n\/(n*((n*n**(3\/8)\/n)\/n)\/n)*n*n*n*n**(-4\/5)*n\/n**(-2\/11)*(n**(-2\/7))**(-1\/4)*n**(-1\/9)\/(n*n*(n*n**(2\/7))\/n) assuming n is positive.\nAnswer: n**(129769\/27720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 8*z**2 + 5*z. Let g(l) = -7*l + 3*l - 6*l**2 - l**2. Let d be 4\/(-3)*(1 + -4). Let v(j) = j - 2. Let s be v(7). What is d*k(n) + s*g(n)?\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + k + 1. Let b(j) = -23*j**4 - 6*j**2 - 3*j + 6. Let r(s) = -6*a(s) + b(s). What is the second derivative of r(f) wrt f?\nAnswer: -276*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -k**2\/2 - 5. Let p(r) = -5*r - 3. Determine -6*n(m) + p(m).\nAnswer: m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4087 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: List the prime factors of 81337042.\nAnswer: 2, 439, 92639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k - 0*k - 5*d + 6, -5*k = 2*d - 21 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of 28*o + 25 - 5 - 7*o**2 - 26*o. Find the first derivative of j(f) wrt f.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 4*v**2 + 2*v - 7. Give q(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35 - 31. Suppose 2*r = 2*o + 52, -v*o - 12 = 8. Does 11 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41189417 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 20*m**3 + 1. Suppose 25 = 43*g - 68*g. Calculate l(g).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 0*y**3 + y**3 - 3 - 3 - 30. Let x = -4921 - -4921. Give n(x).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 16, -1761722?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 12 = -30. Solve 5*m + 2*d - 15 = -2*d, -4*d - b = -2*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*y - 10*y + 15*y. Is -11 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 32*u + 205. Let w be m(-7). Let d(y) = 16*y + 306. Let c be d(w). Solve -s = c*f + 5, 4*f - f = -2*s - 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (107*(-10676)\/(-1175930))\/(4\/70)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 4, 0, 2, -5, -3, -34029.\nAnswer: -34029, -5, -3, 0, 2, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37327 and 2519.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -63*o - 302. Let j be s(-5). Solve -33 + j = -4*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17042?\nAnswer: 2, 8521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 547, 1093, 1639, 2185, 2731?\nAnswer: 3277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2693*r - 1327*r - 27*r**2 - 22*r**2 - 4281*r.\nAnswer: -49*r**2 - 8301*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -c - 5*s, -193*s - 9 = -198*s - 24 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14378709 to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 476738?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of -j**8\/6720 + j**5\/15 + 3*j**3\/2 + 207*j**2. Let k(q) be the third derivative of b(q). Let s(t) = -4*t - 2. Give k(s(g)).\nAnswer: -48*g**2 - 48*g - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 580, 1174, 1768, 2362, 2956?\n\"Answer: 594*b - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6394532125 and -243?\nAnswer: 6394531882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and -862458.\nAnswer: -862457.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -55274758 - 4\nAnswer: -55274762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-34)*461\/1844?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, -4, -0.4, 3\/4 in increasing order.\nAnswer: -4, -0.4, -2\/13, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288*h - 14521 = 380*h - 67*h + 8918 for h.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2405 (base 9) to base 8.\nAnswer: -3373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 572 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 959959\/8 or 119995?\nAnswer: 119995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02186287 rounded to five decimal places?\nAnswer: 0.02186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -58\/778471?\nAnswer: -58\/778471","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1553434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 71? (a) -3\/2 (b) -2\/15 (c) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 106048603 to the nearest integer?\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -462*d + 112. Let s(m) = m - 5. What is j(b) + 21*s(b)?\nAnswer: -441*b + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/(sqrt(112) + sqrt(7)))\/(2*sqrt(5)*-3).\nAnswer: -sqrt(2)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 28*a. Let o(w) = w**2 - 2*w - 4. Let z(j) = -j**2 + j + 2. Suppose -c - 5*c = 12. Let x(t) = c*z(t) - o(t). Determine f(x(s)).\nAnswer: 28*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 5*p. Let j(s) = 7*s**2 + 25*s. Let x(u) = j(u) + 5*q(u). Let n(m) = 1600*m. What is n(x(i))?\nAnswer: 3200*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 10 - 1 = 1 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 - 257 = -4*g. Calculate the greatest common divisor of g and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 13*k)*(-5*k + 2*k + 2*k)*(-1 + 1 - 1) as n*k**2 + a + r*k and give n.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 < 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3763528056439+-2\nAnswer: -3763528056441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 81*b**4 - 33030*b**3 - 7343*b**2 - 408*b.\nAnswer: b*(b - 408)*(9*b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -t**3 - 558741*t**2 - 558740*t = 0.\nAnswer: -558740, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2157 + 2157. Which is the biggest value? (a) 0.1 (b) 0.3 (c) f (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nzz when three letters picked without replacement from {z: 2, n: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(68)*2)**2 + -1).\nAnswer: -1626","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((2*sqrt(121)*-3 - 3*-1*sqrt(121))\/(sqrt(11) - (-2*sqrt(396) + sqrt(11)) - (-2*sqrt(704) + sqrt(704))) + 4).\nAnswer: -12 + 9*sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 4083822694?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 514747352?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(85) + sqrt(85)*-1*-4))\/(((sqrt(10) + sqrt(90))*3)\/sqrt(2)) + 2.\nAnswer: 2 + 5*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 204 = 611. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z\/z**(1\/3)*z*z*z)*z*z*z\/z**(3\/4) assuming z is positive.\nAnswer: z**(-5\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -103*b**3 - 12*b**2 - 5*b - 8. Suppose 2*t - 6 = -0*t. Suppose l + 11 = t. Let d be s(l). What is d rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 9*u + 5. What is r(-15)?\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 5*m + 47. Is u(24) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2365 greater than -2459?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of 2*p**2 + 89*p + 169. Let n be t(-21). Solve 2*l = -5*r + 10 + 2, 5*r + n*l = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195302182 rounded to the nearest ten thousand?\nAnswer: 195300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h\/h**1))**(4\/9)*(h**2*h)**(-2)*(((h\/h**(2\/7))\/h)**(-47))**(8\/3) assuming h is positive.\nAnswer: h**(1934\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1055 - 1051)\/((1\/4)\/1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -597954151 or -597954150?\nAnswer: -597954151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8\/25 (b) -2\/7 (c) -0.74 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -1. Let z = -28 - -30. Let c(i) = -i + 4. Let r be c(z). Solve -y*k - 4 = r*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ls when two letters picked without replacement from {w: 4, l: 1, q: 1, s: 5, d: 1}?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -62f6 (base 16) to base 14.\nAnswer: -9338","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of 2\/3*b**3 - 4\/15*b**6 - 6*b - 1\/2*b**5 + 0*b**2 - 3 + 7\/6*b**4. Determine j so that y(j) = 0.\nAnswer: -2, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9.59 + -8.59. Put b, 0.16, 3 in descending order.\nAnswer: 3, b, 0.16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.104 - 0.214. Let x = 2.11 + a. What is the second smallest value in x, 5\/6, 4, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/4*(6 - (-33)\/(-6)). What is the closest to -2\/7 in x, 71, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(55)*5 + 1*sqrt(1375))\/(sqrt(90)\/sqrt(2) - (sqrt(500) - (sqrt(500) - (sqrt(500) + (sqrt(500)*-1 - sqrt(500))) - sqrt(500)))).\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10\/100)\/(2\/(-355)). Let k = r + 17. Put -3\/2, -32, k, 2 in ascending order.\nAnswer: -32, -3\/2, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-1*(5 + -1*sqrt(288) + sqrt(288))**2 + ((sqrt(150)*1)\/(-3*sqrt(12)))**2*3.\nAnswer: -575\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 950800.5 millilitres?\nAnswer: 950.8005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -1\/3, 8, -0.5, -6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -302 + 692 = -8*k + 21*k for k.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4073*w**3 + 10156*w**2.\nAnswer: 24438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g\/(g\/(g\/(g**(-2)\/g*g)*g*g)))\/g*g**(-3\/2))\/(g\/g**2)**(36\/7) assuming g is positive.\nAnswer: g**(121\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -12*w**2 + 1807*w - 2978. Calculate c(149).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -7 - (-2 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 8:02 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/6*(7 - 1). What is the second derivative of 2*s - m*s**5 + 5*s**4 - 5*s**4 wrt s?\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**2 + h**2 - h**2 + 3*h**2 - 108.\nAnswer: 3*h**2 - 108","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -71523501?\nAnswer: -1\/71523501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -92*c + 29. Let k(f) = 93*f - 30. Let g(v) = 3*h(v) + 4*k(v). Let y(n) = 6*n - 2. Calculate 2*g(i) - 33*y(i).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -106c9 (base 13) to base 6\nAnswer: -345404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s - 14 = 14 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*t - 5*t - 345*t**2 - 226*t**2 + 805*t**2 to the form x + c*t**2 + b*t and give c.\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1096349 bigger than -1096352?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 5. Suppose h = -q - 5*i - 17, -q = -5*q - 3*i. Find the first derivative of -2 - l**3 - 3*l**q - l**3 + 7*l**3 wrt l.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/10 (b) 0.0759 (c) 2\/469 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91010 = 14*n - 57908. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 763 and 2289.\nAnswer: 2289","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 6:12 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3329 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2 - 4*c**4 + 12*c - 36*c**3 - 14 + 20*c**2 + 24*c**3.\nAnswer: -4*(c - 1)**2*(c + 1)*(c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/13 + 186054*a\/13 + 4280300\/13.\nAnswer: -2*(a - 93050)*(a + 23)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6897 is divided by 34.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - l + 30. Let h(g) = 9*g**2 + 2*g - 2. Let v be h(1). What is the units digit of x(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 509*f - 28769 - 753 = 0 for f.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 131940799799 + -0.239.\nAnswer: 131940799798.761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4*y + 2340 = 0, 4*m + 2*y + 1665 = -663. Let r = m + 5192\/9. Calculate the common denominator of 70\/3 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-five quarters of a litre?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 390*j**2 - 3*j - 1. Determine b(1).\nAnswer: 386","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 10:36 AM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1136889886?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 748 by 5.\nAnswer: 748\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-7 - -13) + (-9 - -1) + 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 4121524940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.639741km to meters.\nAnswer: 2639.741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47 - -54. Solve 0 = 2*u - l*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-eight thirds of a decade?\nAnswer: 2320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1827 - 578. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-21) + (-88)\/14. Let w(o) be the first derivative of -3*o**2\/2 - 13*o - 1093. Calculate the remainder when 13 is divided by w(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 29*z + 17. Let g be m(23). Suppose -5*q - 5*j + 155 = 0, -7*q + 2*j + g = -2*q. What is the remainder when 243 is divided by q?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/41, 0.08, 0.07, -0.84, -0.4, 4?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of w**3\/3 + 5*w**2\/2 - 5*w. Is p(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220*w - 223*w + 3 = c, -3*c - 9 = 3*w for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*v - 30 = -71*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/7 (b) -4 (c) -50 (d) 10 (e) -3\/29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 9*i**2 - 21*i + 109. What is m(9)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*b = -438, 37*r - 34*r - 396 = 5*b. Calculate the remainder when r is divided by 19.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*y - 186 = 45*y - 528 for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**4\/3 - 8*u**3\/3 - 10*u**2 + 12*u.\nAnswer: 2*u*(u - 6)*(u - 1)*(u + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cpk when three letters picked without replacement from {s: 2, k: 2, c: 7, f: 3, p: 4}?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11200122 + 110010?\nAnswer: -11020112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -30 or -1722?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 431*f - 43*f = -556*f + 34054 + 76394 for f.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 3:44 PM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 825559 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1774, 1976, 2312, 2782, 3386?\nAnswer: 4124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-531)\/(-59)*(100\/(-800) + 578\/144)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 5*h + 6. Let d be f(-6). Is 1\/14 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 3 + 2)*(-r + 1 - 1) + 0*r + r + 2*r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*i = -39*i - 16. Calculate the least common multiple of 18 and i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*b + 183*b + 22019 = -32*b + 25*b for b.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 8:39 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*a + 16934 = -40*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1142?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - (36 + 5)) + -20 - (-15 + 6)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*m + 46*m = 3*w - 77445, -3*w - m + 77460 = 0. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-2 + 5) + -1. Suppose 4 = s - a. Suppose -35 - 13 = -s*n. Solve -3*o = 4*c - n - 10, -3*o - 14 = -5*c for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2 + (-124)\/8 + 8)*4)\/((-252)\/(-63))?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 240 + -251. Put -3, d, 5, 1 in decreasing order.\nAnswer: 5, 1, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -229\/3 or -75?\nAnswer: -229\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.044334125 rounded to five dps?\nAnswer: 0.04433","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(13))**2*-5 + sqrt(13) + sqrt(13) + 4*sqrt(117).\nAnswer: -65 + 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1035650\/84 + 22 + (-1)\/6. What is the highest common divisor of 358 and q?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*q**3\/2 - 150745*q**2 - 252774000*q - 952773840 = 0. What is q?\nAnswer: -3348, -34\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4249, -4531, -4859, -5245, -5701, -6239, -6871, -7609?\nAnswer: -8465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.36523 and 778.\nAnswer: 778.36523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) + (sqrt(119)*1 - sqrt(119))*-4 - (sqrt(119) - 6*(sqrt(119) - (sqrt(119) + sqrt(119)*-1))))*6)\/(sqrt(7) + 5*sqrt(21)\/sqrt(3) - sqrt(28)*1).\nAnswer: 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32 - 48 - 66*q + 16)*(-2 - 2 + 1).\nAnswer: 198*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 58315\/7 + -676703\/77. Let f = g - -458. Which is greater: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + 14*n + 17. Let h(p) = -p**2 + 15*p + 17. Let u(a) = -5*b(a) + 4*h(a). Let j = -88 + 102. Is u(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2\/4 + 7\/2 and -4 - (-235)\/10 - 9\/6.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18*a**2*p**2 - 20*a**2 + 2*p**2 - 12*p wrt a?\nAnswer: -36*a*p**2 - 40*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y - y - y + (-187 - 71 + 53)*(5 - 5 + 8)*(-2*y + y + 0*y) to b + k*y and give k.\nAnswer: 1639","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 520 and 325?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) -0.4 (c) 43\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 897894680 to the nearest integer?\nAnswer: 29965","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 less than 7189?\nAnswer: 7188.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**2 + 33*j - 10. Let k be o(16). Solve -k = u - 1 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-7\/4)\/(c**3*c)*(c*c**(3\/5))\/c**(9\/8) assuming c is positive.\nAnswer: c**(-211\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*x - 15 = -29*x. Let d = x - -455. What are the prime factors of d?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**4*l)\/l)\/l**(1\/12)*((l*l*l**2*l*l)\/l)**(-2\/43) assuming l is positive.\nAnswer: l**(2417\/516)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7955 + 7947. Suppose 0 = 5*r - 3*r + 4. Which is the second biggest value? (a) r (b) -2\/15 (c) v (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/11 + -57\/22. Which is the nearest to 0? (a) 3\/2 (b) 0.3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406261 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1779699 is divided by 156?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-13\/4)*w*w*w**(33\/4)*(w*w*w*w**(-5\/3))**49 assuming w is positive.\nAnswer: w**(217\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/27*14\/((-84)\/9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**3\/5 + 184*t**2\/5 + 8*t\/5 - 736\/5 = 0.\nAnswer: -2, 2, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.3, -5, -7, 3\/2, -3.1, -3\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**23\/w)**(-34) assuming w is positive.\nAnswer: w**(-748)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(847))*2*4)**2.\nAnswer: 54208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6970.746 rounded to the nearest 10?\nAnswer: -6970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/9101 or 0?\nAnswer: -2\/9101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 18 - 49. What is the remainder when 429 is divided by m?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -2, -1, 6, 2 in increasing order.\nAnswer: -9, -2, -1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -141, -12 in increasing order.\nAnswer: -141, -12, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 13*w**2 - 6*w - 15. Let m(o) = -o**3 - 13*o**2 + 5*o + 15. Let i(k) = 5*h(k) + 6*m(k). Calculate i(-13).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*s - 126 = 0, 2*s - 56 = 5*m - 37 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 0 + 1)*(1 + 3 - 6)*(5*l + 0*l - 3*l)*(-132 + 39*l + 132) to the form s*l**2 + q*l + c and give s.\nAnswer: 468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 524 is divided by (-867)\/(-34)*(75\/45 + (-10)\/(-6))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 461643 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 566 = -147 + 823. Let z be 694\/6 + 8\/(-12). Calculate the greatest common divisor of z and f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*o = 5, -3*o + 7 = 2*t - 0*t. Let r(p) = -6 - 3*p + t + 3. Let w(i) = 2*i. Give -3*r(g) - 4*w(g).\nAnswer: g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jw when two letters picked without replacement from {w: 6, j: 2}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, p: 2, d: 1, c: 1}. Give prob of picking 2 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 100*g**3*x**3 - 3*g**3*x**2 + g**3 - 3*g**2*x - 83567*g*x**3 - g*x**2 - 13592 wrt x.\nAnswer: 600*g**3 - 501402*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000151171 rounded to 7 decimal places?\nAnswer: 0.0000151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 608983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 48?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -76*o + 81*o - 3*c - 10, -o - c = -2. Suppose 0*x + 8 = 4*x. Solve 0 = -o*t + t + x for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -3\/7*q**3 + 153\/7*q**2 + 540 + 2208\/7*q = 0?\nAnswer: -10, -2, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13*6.057\nAnswer: 78.741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -9*b**2 + 4*b. Calculate y(3).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -119*l - 24. Let u be f(-6). Find q such that 686 + 9*q - 35*q - 26*q**2 - u + 56*q**3 = 0.\nAnswer: -2\/7, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2\/5 - 1200546*y\/5 - 120109224843\/5.\nAnswer: -3*(y + 200091)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/6 - 230\/6. Let p be (62\/(-6))\/((-7)\/i). Let f = p - -170\/3. Put f, 0.1, -5 in increasing order.\nAnswer: -5, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/25 - 6\/10) + (-86)\/(-43)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59 - 65 - 64 + 5*s**3 + 188.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -65*i**2\/4 + 6313*i\/4 + 6039\/2 = 0.\nAnswer: -122\/65, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6948*t - 22337*t - 16113*t.\nAnswer: -31502*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 205.45 and 0.01771454598.\nAnswer: 205.46771454598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/266 and 49\/5.\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -7465.51 to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 5*b + 19. Let j(o) = o + 34. Let r be j(5). Let l(w) = -r + 26 + w + 13. What is d(l(h))?\nAnswer: 5*h + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -10 (b) 1 (c) 12 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -3*o**5\/5 + 519186*o**4\/5 - 22460245779*o**3\/5 - 224645552232*o**2\/5 - 381908290368*o\/5 - 179723503104\/5 = 0.\nAnswer: -8, -1, 86536","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*n**3 + 25 - 47 + 22 - 155*n**3.\nAnswer: -127*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -663337210 rounded to the nearest 1000000?\nAnswer: -663000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -148298 + 91915548.\nAnswer: 91767250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 4*d + 36. Let j be q(-9). Suppose -356 = -2*c + 3*s, -c + j*c + s + 178 = 0. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -633, -1344, -2099, -2898, -3741?\nAnswer: -4628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -5801*s**7\/105 + 2213*s**4\/24 - s**3\/6 + 228*s**2. Find the second derivative of g(f) wrt f.\nAnswer: -139224*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - o - 2*o)*(14 - 62 + 7 + 25).\nAnswer: 32*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j + 5. Let y be l(8). Suppose 5*h - 21 = 2*h. Put h, -1, y in increasing order.\nAnswer: y, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2301, -2387, -2473, -2559, -2645, -2731?\n\"Answer: -86*n - 2215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -577507, -577528, -577549?\n\"Answer: -21*z - 577486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209 - 203 = -3*s. What is the remainder when 20 is divided by (-5)\/(-10) - (s - 50\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6181499?\nAnswer: 109, 56711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 84965677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 290766?\nAnswer: 2, 3, 7, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46a4 (base 13) to base 14.\nAnswer: 389a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 7:32 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12*2\/(-96))\/((-1)\/(-12)). Solve 2*l + 13 = -n*o, -3*o = 3*l - 4 + 22 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -619 and -437?\nAnswer: 270503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 166?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9723 is divided by 106.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u**(-2\/11)\/u)\/u)*u\/(u*u**(2\/5)))**(-2\/189)*((u**(2\/7))**(-31\/3))**(9\/11) assuming u is positive.\nAnswer: u**(-2824\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*w + 2*w + 4*m + 156 = 0, 0 = -w + 2*m + 654 - 622 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2285 is divided by 656?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -5. Let b = -4 + 3.5. Suppose 0 = 4*h + 5*p + 35, -p + 2*p = 5*h + 22. Sort b, h, j in increasing order.\nAnswer: h, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + (-4 - (2 + -2)). Let h = q - -67. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 7*g - 8 = 0. Let k be (-5 - (g + 2))\/(6\/(-8)). What are the prime factors of (42\/1)\/(k + (-5 - -2))?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -7.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 811252 to the nearest integer?\nAnswer: 901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 75893290 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of v**5\/20 - v**4\/4 - 3*v. What is the third derivative of i(f) wrt f?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -4*k. Let v(p) = -p + 3. Let i(f) = -2*f - 24. Let b be i(27). Let r = b - -84. Let c be v(r). Give x(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -160*744.\nAnswer: -119040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*n - 20, -2*p + n + 1 = -7. What is the least common multiple of p and (-1 - (-1 - -1)) + 8?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(176))**2 + 4 + sqrt(176) + sqrt(176) + 1 + sqrt(176) + -4.\nAnswer: 12*sqrt(11) + 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*v - 83*v = -111*v + 1026 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34\/3 + -11. What is the smallest value in 5, -2\/3, j?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 830?\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -5*z**5\/3 - 110*z**4 + 1430*z**3\/3 + 2080*z**2\/3 - 475*z - 1750\/3 = 0.\nAnswer: -70, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbe when three letters picked without replacement from {b: 7, j: 6, e: 2}.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-9) - (-547)\/3. Let l(v) = x*v - 104*v - 95*v. Let n(q) = 2*q. Determine n(l(p)).\nAnswer: -32*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1367 times -4\nAnswer: 5468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -279*o**2\/7 + 285*o\/7 - 6\/7 = 0. Calculate o.\nAnswer: 2\/93, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*w**2 + 295*w - 102*w - 100*w - 93*w - 61*w**2 + 140*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**7\/o)\/(o\/(o\/o**(-3)*o)))**(-38) assuming o is positive.\nAnswer: o**(-380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -0.22.\nAnswer: -0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 - -41. Suppose -q = f - 6*f. Solve 4*m + 1 = -f for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 200398 and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -71*n + 646. What is the tens digit of m(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 - (3 + -2 + -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 311586904 to the nearest integer?\nAnswer: 17652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*w + 10*w + 9*w)*(3 - 2 - 4)*(6 - 1 + 3)*(1 - 2 + 0) to the form k*w + j and give k.\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z + 4. Let u be p(5). Suppose 26 = 4*g - 6. Let h be -1 + -1 + u + g. Solve -2*k + 10 = -h*q, 4*k + 3*q + 4 + 2 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 45 = -169. Suppose -20 = r - v. Solve 0 = -r*f + 5*f + 30 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 0.5 (b) 11\/12 (c) 292\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 285*z + 15. Let j(r) = -1836*r - 96. Let t(y) = -32*a(y) - 5*j(y). Let g(u) = -u. Let o(v) = -v. Let k(s) = 5*g(s) - 6*o(s). Give -50*k(p) + t(p).\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s + m - 9, -3 = -2*m - 1 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 0 + 16 - 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l - l - g - 7, 2*l - 16 = 3*g for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 198*y - 279 = 201*y, -63 = l + 3*y. Is -118 greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3754076539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72, -64, -36, 24, 128, 288, 516?\nAnswer: 824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t - 2. Suppose 3*k + 15 = -3*g, -2*g + 8 = -3*k + 2*g. What is the units digit of v(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 37*p**3 - p**2. Is 18 a factor of b(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82256*s**2 + 53982*s**2 - 69706*s**2.\nAnswer: -97980*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -17*h + 15*h + 4*b, 0 = 5*h - 2*b - 154. Solve -h*i + 7*i - 115 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3313862?\nAnswer: 2, 1656931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 2464\/1276 - 4412\/(-58). Solve 52*l + y = 33*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2006 is divided by 263?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 30*l**3 + 12*l**3 - 76 + 1323*l - 1323*l wrt l?\nAnswer: 126*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35905479 or 35905478?\nAnswer: 35905478","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 159*h**3 - 1584*h**2 + 2496*h.\nAnswer: 3*h*(h - 8)*(53*h - 104)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2299, 2437, 2575, 2713, 2851?\nAnswer: 2989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(-10)*(2 - 0). Solve 2*d + 5 - o = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223 is divided by 74?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6020 to the power of 1\/2, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(3 - 4) + 130 + 0. Calculate the highest common factor of 12 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25.6 + -22. Let c = b + -4. Let a = 0.36 + -0.26. What is the nearest to a in -2\/3, c, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -103220 + -11?\nAnswer: -103231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (-2 + 1) - (34376 - 34257)\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*d - 78*d + 36*d.\nAnswer: 11*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**4 - 154*w**3 - 1700*w**2 + 4032*w.\nAnswer: -2*w*(w - 2)*(w + 16)*(w + 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-eight thirds of a decade?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -276041.53 + 277146.52291. Let x = l + -1105. What is x rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i**3 - i - 1. Let w = 49 + -23. Let v be (3 + 20\/(-8))*w. Let t = v - 14. Give g(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -439 divided by -68?\nAnswer: 439\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 4*t + 3*b = -4924, 4*b = 16. Let w = 2148 + t. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i\/(i*i**7)*i)\/i**(-3\/5))\/((i\/((i\/(i\/((i*i**0)\/i)))\/i*i))\/i**(-1\/11)))**(-9) assuming i is positive.\nAnswer: i**(2718\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 250.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 177 = -2*q + 5*q, 276 = 3*n - q. Solve 8 = 91*x - n*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m - 5 + 5)*(1 + 2*m - 1) + (5*m - 4*m + m)*(3*m + m + 3*m) to the form u*m + y + i*m**2 and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6480\/84)\/30 - (4 + 0).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -421, -780, -1137, -1492, -1845, -2196?\nAnswer: -2545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 43*r + 262. Let h(j) = -32*j - 175. Determine 5*b(n) + 7*h(n).\nAnswer: -9*n + 85","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 1 - (-12 - (-37 - -15))) + 5\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 154772 and 18.\nAnswer: 1392948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o = 18*o - 6880. Solve -12 = 211*c - o*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of z**7\/126 + 89*z**6\/90 + 153*z**5\/5 - 1679*z**4\/9 - 4232*z**3\/9 - 611*z. Solve t(u) = 0 for u.\nAnswer: -46, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30*j**2 + 38*j.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 20*v**2 - 2*v - 2. Let b be y(-6). Let j = 1139 - b. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 12*o + 276. What is the lowest common multiple of 9 and m(-9)?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -592 times 55.8\nAnswer: -33033.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -477*a + 2035*a + 1909*a.\nAnswer: 3467*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y**13*y)*y**(-1\/55) assuming y is positive.\nAnswer: y**(-716\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2005139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 PM and 3:04 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2526939?\nAnswer: 3, 280771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 41*b**3 - 23*b**3 + 7*b**2 + 32*b**3 + 14. Let c(j) = -51*j**3 - 8*j**2 - 12. Let k(a) = 5*c(a) + 4*q(a). What is the third derivative of k(g) wrt g?\nAnswer: -330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 430896 and 215448.\nAnswer: 430896","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 3:50 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2014 - 15?\nAnswer: 1aaa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (19\/(-38))\/((-2 + 1)\/2). Let g be s\/(-6)*(5 + -35). Suppose 0 = -2*m - 2*m - 24. Let v(n) = 4*n + 2. Let b(d) = 3*d + 2. What is g*v(p) + m*b(p)?\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k + 29. Let v(p) = p**2 + 5*p. Let s be v(-5). Is 9 a factor of i(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2022867 to the power of 1\/2, to the nearest integer?\nAnswer: 1422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -39026657*l - 25044293?\nAnswer: -39026657","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 132 - 116. Let h = 30 - k. Let z(w) = 6*w + 5. What is the remainder when z(8) is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/104 + (-65945)\/(-904046).\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 462\/48 - 3\/(-8). Solve z - 2*z + 5*w = -23, 5*z - 4*w - g = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1147)\/(-4))\/((-225897)\/(-58296))\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -743 + 1261. Suppose u = 13*z - 6*z. Suppose -3*c + z = 20. Calculate the greatest common divisor of c and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (3 + -5)) + (-13 - -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-200)\/16*120\/(-6000)*39\/1?\nAnswer: 39\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*m + 3384 = 49*m. Let z = 479 - m. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2 = -3. Let q(y) = 4 - y**2 - 6*y - 6 + y. Let f(a) = -a. Let n(d) = w*f(d) + q(d). Find the first derivative of n(c) wrt c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*w - 56*w = -j - 3, w + 3*j = 6. Let y(x) = 2*x - 6. Calculate y(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35 - -135. Calculate the greatest common divisor of 20 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -268, -1278, -2962, -5320, -8352, -12058?\n\"Answer: -337*r**2 + r + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3\/2)\/(v*(v\/(v\/(v\/v**(1\/4))*v))\/v))\/(v**(-1\/3)*v**6)*(v\/(v\/((v*v**0)\/v)))**21*(v**(-7)*v)\/v*v\/((v\/(v**(-4\/9)\/v))\/v*v*v) assuming v is positive.\nAnswer: v**(-589\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by 1106023.\nAnswer: 10\/1106023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 174 + -168. Calculate the greatest common factor of 96 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27412 and 348257.\nAnswer: 15323308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 19*y**2 + 6*y. Let v(p) = 7*p + 4*p + 38*p**2 + 11*p - p - 8*p. What is -13*c(i) + 6*v(i)?\nAnswer: -19*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 320440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (d**3 - 2 + 2)*(33*d - 14*d - 18*d) in the form b + j*d**2 + q*d**3 + c*d + p*d**4 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-89244)\/(-999) + 5\/3 + -31.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c**2 - c. Let y be d(1). Put 1, 7, y in ascending order.\nAnswer: y, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/921 and 26\/15.\nAnswer: 4605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - p**2 - p - 73. Let b be a(0). Let k = -33 - b. Calculate the highest common divisor of 60 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1170 (base 9) to base 16\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 2:58 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 11:54 PM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2722400 rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 5) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*g = 38 + 106 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 + -22. Suppose -3 = 6*z - d*z. List the prime factors of z\/(-4) + (-612)\/(-48).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 33 = 8. Suppose -s + 3*c + 26 + 12 = 0, 0 = 5*c + g. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*y**2\/23 + 4834*y\/23 + 78710\/23.\nAnswer: 2*(y + 17)*(6*y + 2315)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of 23*g**4\/4 - 5*g + 22. What is the first derivative of i(s) wrt s?\nAnswer: 69*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0471352022 less than -515?\nAnswer: -516.0471352022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -645636 by 933.\nAnswer: -692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -22.2 from -807319.\nAnswer: -807296.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43 + 31.4. Let u = -11.5 - r. Which is the fourth smallest value? (a) u (b) -0.3 (c) -3\/13 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1492991 = 165*t - 2670847 - 502857. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, w: 5, b: 2, z: 1, k: 3, g: 1}. Give prob of picking 1 g, 1 w, and 2 b.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -527 - -527.2. Which is the fourth smallest value? (a) -0.6 (b) -10 (c) h (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.0309 - -0.0309. Which is the biggest value? (a) w (b) 0.1 (c) 4 (d) 1\/5 (e) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 31 - 14, -b = -17*b - c - 17. What is d in 5\/2*d**2 - 1\/2*d**3 + b - 2*d = 0?\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 0 + 38 + -36 - 1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -14 (b) -6 (c) 66.8 (d) -28\/61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 56966 in -0.2, -688, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30) - -2*sqrt(2430))\/(-2*sqrt(1210) - sqrt(1210)))**2.\nAnswer: 361\/363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -405.000372 + 405. Round l to 5 decimal places.\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -363.5 + -60.5. Let a = u + 421.97. Round a to one decimal place.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 60 * -586014.2.\nAnswer: -35160852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of c**7\/360 - c**5\/20 - 7*c**4\/12 - 7*c. Let n(v) be the third derivative of m(v). Differentiate n(y) with respect to y.\nAnswer: 14*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/6 of a day?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 5*n**2 - 19*n + 2. Let i be o(9). Is i - (0 + (-5 - -1 - -8)) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 72 - 74. Let v be 3 + j*((-4)\/(-8) - 0). Solve 2*h = 2*p - 10 + v, 4*p - 8 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*y - 2*y**2 + 157*y - 104*y.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 875 - 875. Solve k = -l + 29 - 34 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hr when two letters picked without replacement from hrrrrrrrhrrrrh.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 67. Let k = -59.1 + t. Let g = -3.1 - k. Which is the smallest value? (a) -4 (b) -0.4 (c) -2 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 5*v**3 - 2*v**2 + 1. Suppose -3*k = 2*k - 5. Let d be b(k). What are the prime factors of (3 - d) + 3*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 7*k + 9. Let v be d(-7). Let o = v + -8. Suppose -x - o = -0*x. Which is the closest to 1? (a) -2\/7 (b) -0.5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-1\/5)*t*t)\/(t*t**(-2\/7))*(t*t\/(t**(-3)\/t))\/(t**(-1)\/t*t) assuming t is positive.\nAnswer: t**(318\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, 2\/3, 5, 3.3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 15. Let i(p) = -2*p**2 - 7*p - 12. Let m be i(-2). Calculate the lowest common multiple of y and 4 + ((-3)\/(-2))\/(m\/(-4)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 132 + -125. Which is the fourth smallest value? (a) 4 (b) y (c) -0.4 (d) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -6*p - 3. Let t be k(-2). Let o be -2 + 0 + 14\/2. Let i be (-1980)\/(-297)*(-6)\/(-20). Solve 3*a + z - t = -i*z, -o = -a - 2*z for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 156409066 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66.5*5.\nAnswer: -332.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 375*a**2 - 3*a + 3*a - 373*a**2. Let w(q) = -7*q**2 - 5*q - 5. Let i(u) = 4*u**2 + 3*u + 3. Let n(b) = 5*i(b) + 3*w(b). Give l(n(x)).\nAnswer: 2*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 846.9 to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -230, -469, -708?\n\"Answer: -239*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 108 and 221373.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + p - 8 = 0, -2*c - 12 - 2 = -5*p for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -154, -137, -126, -121?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (27 - 26 - -14 - (64 - (6 - 12)))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -36 (base 11) to base 10\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*g**3 + g**3 + g**3 - 12*g**2 wrt g.\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/3 and 2\/10*2*(-9295)\/(-624)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -574, -572, -570?\nAnswer: -568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 174000 and 6689952.\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 935684545?\nAnswer: 5, 19, 9849311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 208799274?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 0 = -12. Suppose 184 = 4*v + h*f, -5*f = 4*v - 3*v - 34. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63480.63 meters in micrometers?\nAnswer: 63480630000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/4 - 355*q\/4 + 537\/2.\nAnswer: -(q - 3)*(q + 358)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, s: 3, c: 1, x: 2, a: 3}. Give prob of picking 2 a.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.08 and -37?\nAnswer: -2.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.7 - 5. Let i = 0.8 + u. Let x = 47\/4 - 11. Put i, -0.4, x in increasing order.\nAnswer: -0.4, i, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11504, -23237, -34960, -46667, -58352?\nAnswer: -70009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -569.892 and -2.\nAnswer: -571.892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 9, x: 8, g: 2}. What is prob of picking 4 b?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.7 and -0.118?\nAnswer: -0.4366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 40, 118, 320, 700, 1312, 2210, 3448?\nAnswer: 5080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.002503, -1\/4, -135?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000235 to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9140 by -2.\nAnswer: -4570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 + -18. What is the third derivative of 2 + 16*t**3 - 26*t**3 + n*t**2 - 2 wrt t?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 95682 and 117438?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*u + 8*u**2 - u**2 - 5*u**2 as j*u**2 + f*u + d and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 3*i - 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 10 = 2*h. Let p be -3*h\/(-15)*-5. Suppose -27*f = 19*f + 9*f - 3*f. Solve 0*n + p*n = f for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -16 + -6 - 8.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k = 8995 - 8931 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 132 and 108972138?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 9*j**2 + j + 3. Let w be f(-1). Let i(r) = 2*r**3 - r**2 + 3*r - 20. Is i(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*r**2\/4 - 24*r - 9 = 0.\nAnswer: -6, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = o - 930. Suppose 0 = -4*d, 6*u = u + 3*d + 647 - 187. Let c = o - u. What are the prime factors of c?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 + 8. Let s be (0 + -6)*6\/(-4). Let l = s + p. Solve 8 = -l*r - 2*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -k**6\/210 + 2*k**5\/35 - 2*k**4\/7 + 16*k**3\/21 + 72*k**2. Factor d(m).\nAnswer: -4*(m - 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7098 - 15053 - 5855 - 9702)*(2*g + 0 + 0).\nAnswer: -47024*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2096418435 to the nearest integer?\nAnswer: 1280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of 7*j**5\/30 + j**4\/24 + 49*j**2. Let z be a(1). Solve z = 4*k - k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 98\/91849?\nAnswer: 98\/91849","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 3*k = 2*z + 7, 1 = -2*z - k. Let d be ((-6)\/(-18))\/(z\/(-6)). Sort d, 1, 0.\nAnswer: d, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -60215 + -3?\nAnswer: -60221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 407 is divided by 380?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 107\/3 - 36. Let d = 119\/66 + -18\/11. Which is the closest to q? (a) 1\/4 (b) d (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - f - 13000004 = 0, 3*r + 5*f - 7*f - 9750008 = 0. Round r to the nearest 100000.\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + -44 + -35 + (-6 - -2) + (1 - 0)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y*(y\/y**17)\/y)*y**(8\/3) assuming y is positive.\nAnswer: y**(59\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4289425?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 2, -1, 0 in decreasing order.\nAnswer: 9, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10809.69 hours to days.\nAnswer: 450.40375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 11) + 7 - -1 - 8\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 0.256, -3?\nAnswer: 0.256","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**9)\/j*j*j*j*(j\/(j*j**(3\/11)))\/j)\/(j**(1\/9))**(20\/11))**(-36) assuming j is positive.\nAnswer: j**(-4168\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -141 + -4?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 155*v + 4195. Let z be c(-27). Solve -2*o - 3*p = -z, p + 20 = -27*o + 31*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 7372 = -5*c, 3*c = 5*n - 4*n + 4420. Let s = c - 2859\/2. What is the common denominator of -85\/8 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = -0*g - 2*g. Let z = -53 - g. Let j = -3 + 2. Which is the closest to z? (a) -5 (b) j (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 89 or 794\/9?\nAnswer: 794\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 770874 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -204\/1039 not equal to -4154?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(513) + (sqrt(513)*-1 - sqrt(513)) + sqrt(513))\/(1*(sqrt(3) - sqrt(12))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*r*s**4 - r*s**2 + 905143*r + 1060*s**4 + 1582*s**3 wrt s?\nAnswer: 48*r*s + 25440*s + 9492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -24\/133 and -91\/5583112.\nAnswer: 39081784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-34)\/(-17)*12\/8)\/1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004288 rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*r = 804 - 846 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1232*z + 1238*z - 36. What is the remainder when 29\/1 + -1 - -4 is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 2*j**2 + 3*j + 1. Suppose -156 = 18*h - 30*h. Let y be 0*1\/(-2) - 16. Let v = h + y. Give n(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 99*k**2 + 803*k + 104. Calculate q(-8).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - s + 2*m = -8, -5*s + 30 = 5*m for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47767 + 124871 = 54*x. Does 115 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*g*l*q + 4*g*l*u - 2*g*q*u + g - 69*l*q + l*u - 7*q*u with respect to u.\nAnswer: 4*g*l - 2*g*q + l - 7*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qjj when three letters picked without replacement from {q: 7, m: 2, j: 7}.\nAnswer: 7\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-40)\/15 + 2)*6. Put 1\/2, 4, -5, x in decreasing order.\nAnswer: 4, 1\/2, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 3*i + 1. Let s be u(2). Suppose -s*w + 2*w + 5 = 0. Put 3, 2, w in ascending order.\nAnswer: 2, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/3*(-99)\/44. Let g be 40\/18 - 16\/72. Solve -r*l = -g*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2768701*n**4 - 60*n**3 + 999753575*n**2.\nAnswer: -66448824*n - 360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*n**2 - 53*n**3 + 21*n**3 - 2*n + 12*n**3 + 13 + 15*n**3 to the form b*n**2 + c*n + w*n**3 + t and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1801)\/3)\/((-2)\/6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-8288246)\/(-3))\/((-24)\/(-108)). Suppose 6*g - 104387631 = r. What is g rounded to the nearest one hundred thousand?\nAnswer: 19500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 2 + (-141 - -130).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 9. Let u be (-9 + -1)*(0 + f). What is the greatest common divisor of u and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-2))\/((-2)\/(-4)). Let b = -2.16 + 0.16. What is the third biggest value in 0, b, k?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*m**4\/7 + 52*m**3\/7 + 32*m**2\/7 + 4*m\/7 = 0. What is m?\nAnswer: -1, -1\/6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -10*r**3 - 682*r**2 - 51648*r\/5 - 225792\/5 = 0.\nAnswer: -49, -48\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.153 - 2.053. Let f(u) = 3*u**2 - 6*u + 4. Let v be f(4). Which is bigger: w or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -85*s**2 + 171*s**2 - 88*s**2 to the form b*s**2 + x + c*s and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8287219 and -0.3.\nAnswer: 2486165.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 189*d**6 + 637*d**6 - 75*d**6 - 157*d**2 + 132 + 126 - 259 wrt d?\nAnswer: 90120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2. Let q(m) = -381*m**2. Determine q(k(n)).\nAnswer: -381*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 3:58 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of 4\/3*w**3 - 5*w**2 + 0*w**5 + 0*w + 0*w**4 + 0*w**6 + 0 - 4\/35*w**7. Differentiate v(x) with respect to x.\nAnswer: -96*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 405*v - 210*v + 7 + 3 - 203*v - 4.\nAnswer: -8*v + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.56664 + -0.06584. Let z = j - 4.5. What is z rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 874*f**3 + 33*f**2 - 63*f - 14. Let q(o) = 175*o**3 + 7*o**2 - 13*o - 3. What is 3*n(x) - 14*q(x)?\nAnswer: 172*x**3 + x**2 - 7*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/(sqrt(8)*-2) + 5.\nAnswer: -sqrt(17)\/4 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -8, -0.2, 0.2, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -x**4\/48 - 35*x**3\/4 - 52*x**2 + 3781*x. Let b(k) = 0. Calculate k.\nAnswer: -208, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7196 = -39*y + 35*y - 4*n, -3*y = n - 5401. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3424*i + 238985 = 3429*i. What is the ten thousands digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g - 3*g**2 - 6*g)*(g**2 - 25 + 25) - g**4 + g**4 - 5*g**4.\nAnswer: -8*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from moviooooooooiiiilloo?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9017708 years to millennia.\nAnswer: 0.0009017708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2066 - -14242?\nAnswer: 12143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 7) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46 or 5025?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 120254, 239985, 359730, 479495, 599286, 719109, 838970, 958875?\n\"Answer: z**3 + z**2 + 119721*z + 531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 10*l**2 - 10*l - 7. Let r be d(11). Suppose 2*g = -6 + 10. Suppose 4*a = 3*k - g*k - 12, -2*k + r = -3*a. Is -6 smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -373*v - 13432. Give k(-36).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 2 = m + 5*l, 3*m = -2*l. Let t = -6304 - -6318. Solve 0 = 4*q - m*j + 13 - 35, -3*q + j = -t for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 199 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -1312\nAnswer: -1296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 20*b**3 + 5*b**2 + 6*b - 9. Let a(d) = 2*d**3 + d**2 + d - 1. Determine 6*a(c) - y(c).\nAnswer: -8*c**3 + c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 841.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 8*z**2 - 9*z + 7. Let w be o(-9). Suppose -w*h + 1915 = 221. Suppose 4*k = 42 + h. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -32\/9 at most -29120?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -28*g + 116. Let f be d(4). Suppose -5*r + 0*r + 1661 = f*j, -4*j = -16. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**4 - 4*f - 266*f**2 + 3*f**3 + 536*f**2 - 271*f**2 + f to the form w*f + x*f**3 + t*f**2 + q*f**4 + p and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13742?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*c**2 + 507*c + 404*c - 910*c.\nAnswer: 11*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 5, 4, -5, -158.\nAnswer: -158, -5, 4, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, p: 1, x: 5, k: 2, t: 3}. What is prob of sequence kkpv?\nAnswer: 1\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-25))\/((31*6\/(-10))\/(-3))?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162038761.\nAnswer: 162038761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*5*(sqrt(156)\/(2*sqrt(12)) + sqrt(13))**2.\nAnswer: -585\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29624 by -322.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 2*u**2 - 3*u + 2. What is j(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 4*l = -48. What is the remainder when 3\/(27\/412) + 166\/747 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -164 (b) 1 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7558784.\nAnswer: 2, 59053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 71251 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 12:59 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-9))\/1*(-8 + 20).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (28 - 792\/27)\/((6\/27)\/(-2))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -40391*b. Let i(w) = w. What is i(c(d))?\nAnswer: -40391*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a micrometer in nanometers?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*u + 14 = 46*u. Is u less than -9\/80?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -47716188 != -47716189?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47 - 47.21. Let r = k + -0.29. Let m = -79.4 + 79.26. Sort 2\/7, m, r in descending order.\nAnswer: 2\/7, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-1 - (-5 - -3) - (1 + 0)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*j - 44*j + 55681 = 5*s, 5*s + 3*j - 55673 = 0. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1306.7 - -1309.7. Let k = -0.1 + 0.6. Which is the third smallest value? (a) t (b) -4 (c) 75 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/2, -5, 1914 in ascending order.\nAnswer: -5, -5\/2, 1914","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s + 3 + 9 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/131 - -1070\/1441. Let h be 153191\/385 + 4\/(-7). Let a = h + -1978\/5. What is the common denominator of a and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3 + 746*j**2 - 740*j - 1488.\nAnswer: -2*(j - 372)*(j - 2)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 1 - 4. Suppose 0 = -t*k + 6*k + 12. Let v = -233 + 235. What is the second biggest value in v, k, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.3, 3, -27, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 505876 and 232.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 782 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 5) to base 4\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -19*y**2 - 16*y + 2. Let b(l) = -l - 1. Let q(m) = 2*b(m) + s(m). Find the second derivative of q(h) wrt h.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 3248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1440 and 114336.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of v**4\/24 + 3*v**3\/2 + v**2 + 3. Let u(d) be the second derivative of h(d). Let m = 10 - 10. What is u(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 487769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, -0.4, -4366?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 854 = -1842. Suppose -2*k = -4*b - 3*k - 17, 5*k = 3*b + 7. Let h be 2\/(-4) - g\/b. What is the greatest common factor of 21 and h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000154 to seven decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 6746779.2 to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**22*r)\/r)\/(r\/(r\/(r*r\/(r*r\/r**(-18))*r)*r))*r*r**6*r\/((r*(r*r**15\/r)\/r*r)\/r) assuming r is positive.\nAnswer: r**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q**2 + 3*q - 6. Let r be h(5). Let i be 3\/7 + 132\/r. Solve n = -i*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-65)\/(-75) + 5\/(-25). Let u = -0.1 + -0.9. Let s = -2 + u. Which is the third biggest value? (a) y (b) s (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h + 145 = 169 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(35))\/sqrt(7))**2 + sqrt(720)*-2 + 5 - (0 + (sqrt(150)\/sqrt(3) - sqrt(50))\/sqrt(10) + 5)**2.\nAnswer: -24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 i when three letters picked without replacement from jiiiijii.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3*x**3 - 13*x - 41. Let i(f) = -7*f**3 - 24*f - 83. Give 2*i(w) - 5*m(w).\nAnswer: w**3 + 17*w + 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dcb when three letters picked without replacement from {r: 2, b: 4, d: 5, c: 4}.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -38, -43, -50, -59, -70?\n\"Answer: -y**2 - 2*y - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2266*m - 2262*m = 4*z + 92, 0 = 4*m + 4*z + 60. Suppose 2*p**3 + 1\/4*p**4 + 0*p + m*p**2 + 0 = 0. Calculate p.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 46*i + 6. Let f(y) = 2*y + 3682. Give f(l(q)).\nAnswer: 92*q + 3694","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*6*((4 + (sqrt(363) - (-5 + 1*sqrt(363) + sqrt(363))))**2 - ((sqrt(363) - (sqrt(363) + 0)) + -4 - (-1 + sqrt(363) + -5 - sqrt(363)))**2).\nAnswer: -4752*sqrt(3) + 10560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -245*z**3\/2 + 16*z**2 + 146*z. Is k(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 1. Let m(n) = n**3 + 9*n**2 - n**v - 9*n + 0*n**3. Let b be m(-9). Solve -2*i + 0*i - 4 = b for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of 0*x - 1\/24*x**4 - 1\/15*x**5 - 28*x**2 + 2\/3*x**3 + 1\/120*x**6 + 0. Suppose 3 = 3*u - 9. Calculate j(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19 (base 11) to base 3.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 142 and 337424944?\nAnswer: 337424944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5982 + v**2 + 0*v**2 - 5982.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11 + 1417?\nAnswer: 1428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1111758630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = t, -4*t = -0*t. Solve a*w = 4*w + 20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 41*w - 162. What is m(-22)?\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10.5 and 50.\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9932?\nAnswer: 2, 13, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-160)\/180*(-4)\/(-128)?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 4 + 2. Suppose -20 = r*y + y. Let d = -56 - -58. Which is the closest to 0? (a) y (b) d (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 2*k + 3*k + 2 + (-k + 3 - 3)*(-7 - 1 + 2) + 2*k - 14*k - 6*k + (-5 + k + 5)*(-2 + 1 + 3) - k - 1 + 1 + 0*k - k + 2*k + (-1 + k + 1)*(6 - 4 - 1).\nAnswer: -8*k + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/336657 and -133\/18.\nAnswer: 2019942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -51 - -55. Suppose 1653 = x + c*p, -x + 3*p = -457 - 1175. Suppose -x = -9*t - 84. Is 16 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -3\/88912?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64176?\nAnswer: 2, 3, 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (235\/(-188))\/(((-240)\/(-15))\/512).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3464599.5 to the nearest 1000.\nAnswer: -3465000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22548 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 2*s**2 - 4*s - 3. Let o be i(-2). Let u be (-12)\/(-72) + 1\/(-6). Sort u, o, 1 in descending order.\nAnswer: o, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 81*s**2 + 5309*s - 2858. What is m(-124)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 12:42 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**2 + 2*b**2 + 14*b + 3*b + 19*b.\nAnswer: 2*b**2 + 36*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -91456 and 0.17.\nAnswer: -91455.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 20*n**2 + 248*n - 2747. What is c(10)?\nAnswer: 733","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 693 and 344862?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 121994815*h*t**2 + 356*h*t - 259*h - 237*t wrt t.\nAnswer: 243989630*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3\/10 - 2\/15. Let q be -1*3*1\/(-9). What is the closest to -1\/4 in y, 0.1, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44.4 + -44. Let n(p) = p + 5. Let r be n(-5). What is the second biggest value in q, r, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 8*y - 70 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14482?\nAnswer: 2, 13, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2694?\nAnswer: 2, 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18)\/27 + 76\/6. Suppose 5*r = -4*y - m, -6*y = -2*y + 2*r. What is the units digit of 117\/4 - y\/8?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.02 - -0.02. Let u = y + -0.00000042. What is u rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420344.9t in grams?\nAnswer: 420344900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1397 + 1408. Solve -21*s = -d*s - 10 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + 7. What is the least common multiple of v and 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-126)\/(-54) + 3\/(-9). Solve 3*z - n*q - 16 = 0, -4*z + 1 = -4*q - 23 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 3) to base 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1913)\/4*264\/330. Are -384 and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*d)*(-2*d**4 + 3*d**4 - 2*d**4) + (d - 3 + 3)*(4*d**4 + 3*d**2 - 3*d**2) - d**5 + 4*d**5 - 5*d**5.\nAnswer: 4*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 3*k**4\/5 - 24*k**3\/5 + 69*k**2\/5 - 84*k\/5 + 36\/5 = 0.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 - (-7662)\/252 - 201\/(-469) - 1. Suppose -4*v - 3*m + 0 = -125, -3*m - 15 = 0. Which is bigger: v or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**2. Suppose 36 = 3*r - 2*s, 8*s + 55 = 4*r + 3*s. Let x = r - 7. Let a(m) = -5 + x*m + 5. Calculate a(c(j)).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -5*i - 9. Let f(j) = 5*j + 10. Let o(q) = 6*d(q) + 5*f(q). Let t(k) = -103*k**2 - 13*k + 40. Let v be t(3). Let u = -931 - v. What is o(u)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-15)\/60 + 105\/20. Which is the second smallest value? (a) h (b) -0.5 (c) -86\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**3\/11 + 2304*r**2 - 736658*r\/11 = 0. Calculate r.\nAnswer: -12701, 0, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -3. Calculate the smallest common multiple of j\/(-8) - (-36)\/16 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (46 + -42 + -22 + (-88 - 0))?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 1\/6, -1, -11, 24, -1\/8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x - 132 - 158 - 4*x + 107.\nAnswer: 2*x - 183","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + 7 + 20\/(-5). Let t be (1 + (-7)\/5)\/(-1). What is the nearest to t in u, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -348, -302, -256, -210?\nAnswer: -164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 82674 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 824*n = 794*n - 1320 for n.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 3. Let z = -2 - n. Suppose 0*y - 2*c = -y + 47, 5*y = z*c + 255. What is the remainder when y is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.01 + 0.01. Suppose c + 7 = 2*b, -b + 2*c - 7*c = 13. Sort 0.5, k, b in increasing order.\nAnswer: k, 0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -69 - -65. Suppose 8 = -40*a + 48. Sort m, 2, -1, a in decreasing order.\nAnswer: 2, a, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 216?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2607 - -4924. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 4:45 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4324.25 rounded to the nearest 100?\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5652 and 324.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 3*p + 1347 = 0, -5*p - 907 = -0*m - 2*m. Suppose 2*b - 4*b = -m. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 356 divide 1159492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (20\/(-25))\/((-4)\/(-10)). Let x = -2.99 + 3. Let q = 4906 + -4907. Which is the nearest to q? (a) x (b) 2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -9 - (-2 - (-3 + 0)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 2*g + 3. Let i = 20 + -22. Calculate w(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 z when two letters picked without replacement from {z: 3, p: 5}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4068, 4039, 4008, 3975?\nAnswer: 3940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 927 and 682581.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 71384\/(-190) - 34\/85. Let p = u + 376. What is the nearest to 1 in -3\/4, p, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*s - 5*s + 2*s**2)*(4*s - 3*s + 7*s)*(1 + 4 - 4) to the form l*s**2 + m*s + j + i*s**3 and give i.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -144755\/33 + 4387. Calculate the common denominator of -9\/11 and b.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11034 take away 3?\nAnswer: 11031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/(-8) + 1 + 1989\/408. Solve 5*j + 12 = 3*o, 2*j - 1 = 4*j - t*o for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5384 and 150079?\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qsf when three letters picked without replacement from ssqsssfsfssff?\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g - 10. Let m(n) = -227*n - 13. What is q(m(i))?\nAnswer: -454*i - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**4\/9 + 294016*m**3\/3 + 43222704128*m**2\/3 + 6354083288449024*m\/9 = 0.\nAnswer: -147008, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c6 (base 16) in base 13?\nAnswer: -428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 172 and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 0 + -2 + 0. Let f = -0.9441 - 0.0559. Is f at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.818 rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35901?\nAnswer: 3, 3989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 5*l**4 - 5*l**3 - 75*l**2 - 115*l - 50 = 0.\nAnswer: -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**2 - 128*s + 159. Give r(63).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 2*u + 3 = 0, -y + 104 = -4*u + 83 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -1\/7, 4\/5, 5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 61959 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + -15. Suppose -s = -v*h - 15 - 4, -4*h - 10 = 2*s. Let n = s + 0. Put n, 0, -5 in decreasing order.\nAnswer: n, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 702*z**3 + z**2 + 1317*z - 8461973?\nAnswer: 2106*z**2 + 2*z + 1317","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Solve -712 = -46*s + 1047 - 149 for s.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g - 7 + 7 + (-3*g + 3*g - g)*(3 - 2 + 2))*((4*g + 0*g - 2*g)*(2 - 6 + 3) + 0*g + 4*g - 3*g + 2 - 2 + 3*g).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1016446 not equal to -1016445?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 0)\/(3795\/161 - 24)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -3, 3, -87\/4, -0.9, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**3 - 117702430*a**2 + 197239796*a.\nAnswer: -6*a - 235404860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 - 8*k + 4. Give f(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1638 - -1776. What is the greatest common factor of 253 and b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = r - 19, -4*r = -3*n - r + 3. Let b = -18 - -15. Sort 5, b, 3, n.\nAnswer: b, 3, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0859513 + -0.4140487. Let y = -0.1 + 0.3. Which is the nearest to -0.177? (a) p (b) y (c) -0.3 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1204*r**4 - 7*r**2 - 1190*r**4 + 2*r - 3*r to the form h*r**4 + m*r**2 + c*r + p + b*r**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -230 (base 4) in base 7?\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*b + 0 + 45*b + 3)*(20*b + 14 - 14)*(5 + 1 - 2).\nAnswer: 1840*b**2 + 240*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 31*z**3 + z**2 - z + 1. Suppose 0 = 5*y - 5. Let n be a(y). Suppose u - n = -2*c, -3*c - 67 = -8*c + 4*u. Does 15 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z*(z\/(z*z**(-12)))\/z)))\/z)\/(z*z**(1\/8))*z*z*z**(-3\/7)*(z*z*z\/(z\/(((z**5*z)\/z*z*z)\/z*z)))\/z assuming z is positive.\nAnswer: z**(1089\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 25\/2 of a kilogram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/(-9) - ((-4)\/(-2) + -6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*m + 1 + 141*m - 51*m to the form j*m + l and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 88 - 290. Let c = -201.9999187 - l. What is c rounded to six dps?\nAnswer: 0.000081","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 0.085451, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 13. Suppose -68 = -z - o. Is z 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 324784472.\nAnswer: 2, 23, 557, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -26591, -26464, -26337?\n\"Answer: 127*a - 26718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.2 + -113.2. Let d = 2.58498 + -113.65798. Let o = d - s. What is o rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/2, 3\/4, 2, -2\/13, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1652285*a**2 + 433842 wrt a.\nAnswer: -3304570*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 238 + -238. Suppose -14*x = -n + 14. Suppose -2*t + 3*d + 20 = -3*t, 10 = -5*t + 3*d. Sort t, x, 0, -7.\nAnswer: -7, t, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6, -2\/3, -0.2, 1, -2 in descending order.\nAnswer: 1, -0.2, -0.6, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 not equal to 175526?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 21 = 4*g - 21, -35 = 5*r + 5*g for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or 3406.2315?\nAnswer: 3406.2315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9475457 or -9475463?\nAnswer: -9475463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 34\/7 + (-7)\/(-49). Solve -3 = -r, -2*d + d + k*r = 10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*f - f. Suppose 2*g = -f*g - d + 17, g - 9 = -3*d. Let q(s) = -s**2 + 6*s + 1. Is q(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 317, 292, 3, 10, -4, 0.2 in decreasing order.\nAnswer: 317, 292, 10, 3, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 366600 + -562731036\/1535. Calculate the common denominator of -35\/3377 and y.\nAnswer: 16885","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 38*w**2 + 38*w + 60. List the prime factors of b(-18).\nAnswer: 2, 3, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.03 - 5.5. Let v = a - -0.07. Let p = 0 - v. Sort -0.4, p, 2\/9 in ascending order.\nAnswer: -0.4, 2\/9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -1\/165*p**6 + 0 - 3*p + 0*p**3 + 0*p**4 - 1\/55*p**5 + 0*p**2. Factor y(z).\nAnswer: -2*z**3*(z + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386201 to the power of 1\/2, to the nearest integer?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert a53a (base 12) to base 4.\nAnswer: 10121332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 232335531?\nAnswer: 232335534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4481563550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32118 + 57320. Let q = -1814447\/72 + b. Calculate the common denominator of -70\/27 and q.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 10*y**2 - 14*y - 14. Let m be q(8). Suppose 4*z + 0 = -m*s + 2, 5*s = 3*z + 18. Solve -v = -4*v + s for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14 and -897545.\nAnswer: -12565630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1098, -5, -4880 in ascending order.\nAnswer: -4880, -5, 1098","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 2*k - 99, -1393*k = 6*s - 1398*k + 124 for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -948, 3\/5, 0.8, -0.5 in descending order.\nAnswer: 0.8, 3\/5, -0.5, -948","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000173643 rounded to seven dps?\nAnswer: 0.0000174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -2 (c) 5.4 (d) -5 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*j + 29. Suppose s = 2*q - 5*q + 1, -3*s - j*q = -7. Solve -s*x - 1 = -17 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 592, 7, -4 in descending order.\nAnswer: 592, 7, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*q - u + 16 = 53*q, -4*q + 12 = -10*u + 11*u for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -15\/8 (b) 1.1 (c) 4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -y**8\/1680 - y**7\/840 + y**6\/360 + y**5\/120 - 53*y**3\/3 + 98. Let i(b) be the third derivative of p(b). Solve i(a) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 56388 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 5626688?\nAnswer: 2, 87917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101011110111001010001101 - 101?\nAnswer: -1101011110111001010010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2 = -5*u + 4*u, -4*o + 3*u = -8. Suppose 15 = -o*p + 7*p. Let j be (-38 - (33 - 79))*2\/4. Sort p, j, 17 in increasing order.\nAnswer: p, j, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1549170188*z**3 + 1549170196*z**3 - 3098340383*z**3.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 2 i, and 1 n when four letters picked without replacement from nkniingknkni.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 12*l + 9. Let o be 0\/(-1) + 2 - -1. What are the prime factors of p(o)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -7*m - 8. Let d(n) = 7*n + 7. Give 5*d(k) + 4*j(k).\nAnswer: 7*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -9.5. Let r = m + -2.7. Let c = r + 1.1962. Round c to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 + 21. Put s, 1\/2, -1\/10 in increasing order.\nAnswer: s, -1\/10, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 105240\/11 + -9558. Let n = -104\/11 + z. What is the biggest value in n, 0.4, 0.04?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26*((-10948)\/(-230))\/(-34))\/((-4)\/10).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 42495951 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3*w - 2 + 2)*(2*w + w - w) to the form r + j*w**2 + a*w and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -36 and -34265694401.\nAnswer: -34265694437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 + 27940 + (-72)\/(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of r**3\/3 - r**2\/4 + 30. Determine s so that h(s) = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16415 and 1118621.\nAnswer: 374738035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 1365380.\nAnswer: 28672980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*h**4 + 1133*h**2 - 1127*h**2 - 39 + h + h**3 + 37 in the form u*h**2 + v*h**4 + x*h + d + c*h**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104, -439, -1008, -1817, -2872, -4179, -5744, -7573?\nAnswer: -9672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39413*n + 3001*n**3 - 78840*n + 14 + 39492*n wrt n.\nAnswer: 18006*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 6*s**2 - 5*s + 3. Let j be l(-5). Suppose v + 32 = 3*v + 4*y, v = -j*y + 14. Let p = 30 - v. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 5*h - 15, -4*p = 4*h + 11 + 1. Suppose 3*d = 1 + 5. Let r(u) = -u**3 - 1 - 3*u**2 - d*u + 1 - 3. Calculate r(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 28 = -0*x - 4*x, 3*x + 3*o + 21 = 0. What is the biggest value in -1, -4, x, -9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -15, -36, -97, -216, -411?\nAnswer: -700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.0515 rounded to two decimal places?\nAnswer: 4.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -c**3\/2 - 7*c**2\/2 - 8*c. Let h be t(-3). Let f(z) = -2*z**3 - z**2 + 2*z - 3. Determine f(h).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 736 and 1008.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1331 - -42106816.\nAnswer: 42108147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63 + 33. What is the remainder when 15 is divided by (-5)\/(-10) - y\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/2 - (-27 - 5320\/(-180)). Suppose 1\/9*r + 2\/9*r**2 - 7\/9*r**3 + f*r**4 + 0 = 0. Calculate r.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in centimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -190251578*v**6 + 16359646*v**2?\nAnswer: -22830189360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2217?\nAnswer: 3, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 7*i**2 + 6*i + 6. Calculate the remainder when k(-6) is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a + 22. Let q be j(7). Let x be (20\/q - 3)*4. Find the common denominator of -23\/30 and 11 + -11 - x\/(-9).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27457190?\nAnswer: 2, 5, 2745719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 28 = -3*z, 4*o = 4*z + 8*o - 44. Let r be (18\/6)\/((-3)\/z). Is r at least as big as -19\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 286446 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9805.454 - -9815. Let h = -3.3 + 12.8. Let d = o - h. What is d rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-13 + 1)*13\/(-39). Let c(v) = -8*v**2 - 10*v**2 + z*v**2. Let o(i) = -5*i**2. What is 3*c(x) - 8*o(x)?\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.035861*-100.\nAnswer: 3.5861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-12) - (2 - (-2)\/(-2)). Let o = 2 - -2. Sort 2\/7, u, o.\nAnswer: u, 2\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2150, 2161, 2172, 2183?\nAnswer: 2194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -103690, -207384, -311078?\nAnswer: -414772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 514767880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 5*n - 142, -3*j + 156 = -0*n + 5*n. Let d = -11 + n. Is d a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 5*l + 13*l - 7*l - 1. Let w be a(1). Calculate the highest common factor of 60 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - c**2. Let l(u) = 3*u**3 - 7*u**2 + 6*u + 5. Let a(p) = -l(p) + q(p). Let y be a(3). Let t = y - -21. What is the nearest to -2 in 1, 4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.3 + -0.7. Let w = -4 - l. Let y be (2 - (-32)\/(-18))\/((-96)\/(-216)). Is y at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 113 = -102. Solve 6*u = j*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oi when two letters picked without replacement from {i: 4, v: 6, o: 2}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5487 and 4.\nAnswer: -21948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 28353960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1771549?\nAnswer: 13, 136273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (5 + -6 + -8).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27 - 2 - (88 + -70)) + -4?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/(-27) + 0)*(-1)\/(-12). Are m and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -32161 in 2, -281, 0.8, 3\/4, -2\/9?\nAnswer: -281","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of k**7\/126 - k**5\/18 + 5*k**3\/18 - 5*k**2 + 12*k. Let m(w) be the first derivative of i(w). Factor m(q).\nAnswer: 5*(q - 1)**2*(q + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(60\/7))\/(182\/(-6)).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -5*f**2 + 5*f - 4. Let q be s(1). Let o be q + 6 + 9\/(-3) - -5. Suppose -5*p + o*r - 2*r = -1, 3*r + 7 = 2*p. Put -4\/9, p, 15 in ascending order.\nAnswer: p, -4\/9, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(36)\/sqrt(6)*4)\/sqrt(3) + 4) + 5.\nAnswer: -24*sqrt(2) - 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3716608, -3716584, -3716554, -3716518, -3716476, -3716428?\n\"Answer: 3*d**2 + 15*d - 3716626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -8. Let o be 2 - 3 - (-6)\/(-2). Let n be (o - 1)*(k - 4). Solve -3*m - 14 = -n for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4646 or -116118\/25?\nAnswer: -116118\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.6 - 0.6. Which is smaller: u or -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -98 + 132. Suppose -3*g + 4*s - 5*s = -21, -2*s + a = 5*g. Suppose 0 = -w - g*w + 1395. List the prime factors of w.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 69*d + 1. Let c(h) = 2*h**2 + 140*h - 3. What is -3*c(j) - 7*u(j)?\nAnswer: j**2 + 63*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -385742.\nAnswer: -38574.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i - 19. Let g be x(-9). Suppose -2*l = l - 6, -4*o + g = 4*l. Suppose -5*f - 94 = -3*r, 3*f - 5*f + 8 = o. Does 17 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.44902*-0.2.\nAnswer: 0.089804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**2 + 43*w - 327*w + 393*w - 115*w.\nAnswer: -4*w**2 - 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.014007 rounded to 4 decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3*n - 3*n - 2*n)*(33*n - 137*n - 57*n).\nAnswer: 322*n**2 + 161*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 - 1 + (0 + 1 + 1)*(-6 + 1 + 3))*(0*b - 5*b - 8*b) in the form l + m*b and give m.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 5*z + 14 = -0*z, -z = 4*g - 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10028525 to the power of 1\/2, to the nearest integer?\nAnswer: 3167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (3 - (-2 + -2 + 6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -23054.3983 to 0 dps.\nAnswer: -23054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 430 = 6*f - f. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away -570?\nAnswer: 571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23\/220666 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218*z**2 - 218*z**2 + 11*z**3 + 3.\nAnswer: 11*z**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 1578 (c) -2\/9 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 8.1. Let c = 3.6 - 3.4. Which is smaller: c or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 65 - 15\/(0 - -5). Let q = 342 - 198. Let n = q - i. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2 = -2*u, -30 = -4*s + 5*u - 7. Suppose z + s = -z. Let n be (-6)\/9*(z + 0). Which is bigger: n or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4 = 2*s. Suppose 2 = 2*n + 2*u - 2, 3*u = 3. Suppose -2*i + 2*q + 4 = 2*i, 2*q = -i + n. Put i, s, 2 in descending order.\nAnswer: s, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 76 + -61. Let w(r) = 6*r**2 + 10*r**2 - h*r**2. Let j(f) = 23*f**2. Give w(j(p)).\nAnswer: 529*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*l - 237 = 349 - 190 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, k: 1, x: 2, d: 1, m: 1, j: 7}. Give prob of sequence mxkx.\nAnswer: 1\/12012","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 67213*z - 201825. What is f(3)?\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2 = -l - 0*l, -5*a = 0. Let i = -4 - l. Let f(g) = -g**3 - 6*g**2 + g + 7. Determine f(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -x**2\/2 - 10*x - 3. Let b be q(-6). Let v be 1\/b - 81594\/24. What is v rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -382.27 to zero decimal places.\nAnswer: -382","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 2*i + 5*h - 4400, -3300 = -3*i - 5*h. Suppose i = -2*k + 4*k + 3*z, 0 = 2*k - 4*z - 1072. Calculate the greatest common factor of 34 and k.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t = -483 - 493. Which is bigger: -59 or t?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22.57*1.888.\nAnswer: -42.61216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 64, 61, 56, 49?\n\"Answer: -g**2 + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 122, 235, 348, 461, 574?\n\"Answer: 113*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.3021 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 16*v + 29. Let j be c(14). Which is greater: j or -2\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 4*g + 40*g + 39*g**2 - 34*g - 10*g. Let r(b) = 8*b - 1. Calculate r(w(q)).\nAnswer: 312*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = 6*o - o - 4*z, -28 = 3*o - z. Let b(p) = -3*p**2 - 5*p - 10. Let g be b(o). Let a = 310 + g. What is the remainder when a is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 0*o + o**2 + 0*o + 3 - 8*o + 2*o**2 - 2. Let r(w) = w**2 - w + 1. Give g(q) - r(q).\nAnswer: 2*q**2 - 7*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -568277660*p**5 - 25453098*p**2 - 7*p - 1.\nAnswer: -34096659600*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37*z**4 - 1964*z**3 + 1032484*z**2 + 1 wrt z?\nAnswer: 888*z - 11784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 230 and 1832590.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8139943 and 1204?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i**3 + 221825*i**2 - 443630*i = 0 for i.\nAnswer: 0, 2, 44363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 470, 1153, 1840, 2531, 3226, 3925?\n\"Answer: 2*d**2 + 677*d - 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/11 or -38\/7?\nAnswer: -38\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 5*s + 12. Let g be 26\/8*(15 - 11). Suppose -7*j = -g*j + 72. Does 8 divide p(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 230 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 12, r: 1, k: 3}. Give prob of sequence rz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -779.3 + 777.3. Which is the biggest value? (a) 0.5 (b) 4 (c) g (d) -2.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 13 + 101*r - 190*r + 104*r. Let i(j) = -5*j - 10. Let n(w) = -6*w - 9. Let m(f) = -2*i(f) + 3*n(f). Calculate -11*m(k) - 6*q(k).\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4491, 3, -131, -6 in decreasing order.\nAnswer: 3, -6, -131, -4491","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*y = -387 - 118 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -2*k**3\/3 + 7178*k**2\/3 + 511858*k\/3 + 490306 = 0.\nAnswer: -67, -3, 3659","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 167, 202, 235, 266?\nAnswer: 295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttttiiigedi. What is prob of picking 1 g, 1 i, and 1 e?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -62, -44, -2, 76, 202, 388, 646?\n\"Answer: 2*o**3 + 4*o - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4 + (sqrt(500) - (-1 + sqrt(500))*1 - (sqrt(5) + sqrt(5)*2 + sqrt(5) + -2 + (sqrt(1000) + sqrt(40) - sqrt(40))\/sqrt(8)))**2 + 0).\nAnswer: -2460 + 324*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -110*s + 114*s + 2 + 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-78)\/((-11934)\/(-357))*402\/(-14)\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56425 is divided by 762.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -576483 and 410.\nAnswer: -576073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 615*u - 49920 = 550*u. What is the least common multiple of 9 and u?\nAnswer: 2304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 8 = 2*c. Suppose c + 4 = w. Sort 1, 4, w in ascending order.\nAnswer: 1, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from buuuubuuuuuuuuuuuuuu. What is prob of sequence uu?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 2*m - 152. Let s = m + -26. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.55 and 32.\nAnswer: 17.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*x - 366 + 685 = -1601 for x.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, -13, -30, -47, -64?\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -582, -1985, -4322, -7593, -11798, -16937?\nAnswer: -23010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 146601323 (base 7) to base 14\nAnswer: 144b7ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 5*y**3 + y**2 + 3*y - 4. Let d(v) = 10*v**3 + 3*v**2 + 5*v - 8. Let o(w) = -5*c(w) + 3*d(w). Let g(m) = m**3 + m**2 - 1. What is 4*g(a) - o(a)?\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/52 + 47\/260. Let g be (-4)\/(-40) + 0\/2. Which is the third smallest value? (a) g (b) h (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1614, 1540, 1466?\n\"Answer: -74*y + 1688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-9 + (-1 - 1) + -2)\/(28\/(-34496))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 504*t + 3*h - 29 = 502*t, -3*h + 32 = 5*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 39.8 in 0.1, 1\/5, -0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 194065455134 + -6372.\nAnswer: 194065448762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72516.\nAnswer: 2, 3, 6043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 63 or 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 203 + 6 + 9\/(-3). Let y = -201 + s. Solve -3 = j - y for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f**3*x - 525331*f**3 - 21*f**2*x**2 + 1022*x**2 wrt x.\nAnswer: -2*f**3 - 42*f**2*x + 2044*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11, 43, 73, 101, 127, 151, 173?\n\"Answer: -q**2 + 35*q - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*q + 3059 = -16*q + 98*q for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5353.0013443 - -5353. What is s rounded to four decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 4. Let z = i - 3.92. Let g = 0.6 - z. Round g to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10242 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(-6)*24\/28?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q**3 + 9*q**2 - 5*q - 7. Let a(h) = -2*h**3 + 4*h**2 - 2*h - 3. Let o(b) = 8*b - 3*b - 2 - b**2 - 8*b. Let t be o(-3). What is t*w(i) + 5*a(i)?\nAnswer: -2*i**3 + 2*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**2. Let d(u) be the second derivative of 0*u**2 - 17*u + 0 + 5\/6*u**3. What is d(h(o))?\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 157*t**2 + 3815*t - 627777. Give f(158).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -602064 divided by 296?\nAnswer: -2034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (7\/(-2) + -1)\/(105\/(-140)). Let l = 9 - 6. Suppose l*s + 36 = 7*s. What is the highest common factor of s and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 11760?\nAnswer: 11760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x + 5. Let n(r) = -2*r**3 - r. Let k be n(-1). Let q = k + -3. Let d be p(q). Solve -g - 23 = 4*t + t, -d*t + 4*g - 33 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110*15*(-15)\/(-1125) + (28\/2 - 3).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 88\/323955 and 17\/48.\nAnswer: 5183280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.1 * 0.5.\nAnswer: 0.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 283 + -280. Let i = -2 + 4. Suppose -1 = u + i, -16 = -w + 4*u. Calculate the remainder when w is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-76)\/10)\/((-9)\/(27\/4)) and -32\/3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 92*n**2 + 93*n + 6. Calculate t(93).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k**3 - 2*k + 2*k)*(5*k + 2 - k - k) - 5*k**4 - 4*k**2 + 4*k**2 as l + j*k**3 + s*k**4 + i*k + v*k**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97122 is divided by 48312?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1427747184 rounded to the nearest one million?\nAnswer: 1428000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -3. What is the tens digit of (l - 2) + 24 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/2002 and -73\/3276.\nAnswer: 36036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 0, 56, 142, 252, 380, 520, 666, 812?\n\"Answer: -z**3 + 21*z**2 - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 444*h**3 - 74308*h**2 - 47720*h + 1344 = 0.\nAnswer: -2\/3, 1\/37, 168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 7*h + 46. Let g(c) = -17*c - 48. Give 2*g(d) + 3*y(d).\nAnswer: -13*d + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -15?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2800037304?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7566 - -6783. What are the prime factors of l?\nAnswer: 3, 4783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1222 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hzhhhhhhhzzhhzhzhh. What is prob of sequence zz?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 52 - 5 = -5*x, 19*k + 99 = 5*k + 11*x for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 148 - 158 - (5 + -30)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -53 - -233. Suppose 0 = 10*n - 240 - x. What is the highest common factor of n and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202463689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z - 2. Let g(j) = 2*j - 12. Let r be g(7). Let n(m) be the first derivative of -1\/2*m**r - 3*m - 1. What is -4*c(o) + 3*n(o)?\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, y: 6}. Give prob of sequence yyya.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 454 a factor of 433145318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y = 11*y - 20. Solve -t - n + 0 = -1, 4*t + 3*n + y = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -454, -615, -880, -1249, -1722, -2299?\n\"Answer: -52*f**2 - 5*f - 397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13658 - -163895\/12. Let i be (-1)\/3 + (-5)\/(-9). Is u less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 5*x + 8 - x - 2. Let t be r(6). Let p be 82\/t + (-1)\/(-3). Solve 2*i = -3*l - p, -5*l - 4 - 26 = 5*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 52817, 105655, 158493?\n\"Answer: 52838*u - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 165319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 22447 divided by 3241?\nAnswer: 22447\/3241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, h: 3, q: 5}. What is prob of sequence hq?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4\/4 + 182127*y**3\/2 + 33103153681*y**2\/4 - 3054745505724*y + 281320513302544.\nAnswer: (y - 184)**2*(y + 182311)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 + 26)\/1*5. Let r = i - 332\/3. What is the fourth smallest value in -0.4, 2\/23, -0.2, r?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 40715152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -407160 divided by 2?\nAnswer: -203580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -8437905.1 to the nearest one hundred thousand.\nAnswer: -8400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 4:12 AM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 + (3 + -4 + -9 + 15 - (2 - -1))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u + 17. Let m(r) = -9. Determine 3*l(t) + 5*m(t).\nAnswer: -3*t + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*t + 0*t + 14*t**2 + 6*t + 7*t in the form w + u*t + a*t**2 and give a.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1740694 is divided by 870343.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1184 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -2\/7, -4\/1121, 2?\nAnswer: -4\/1121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*l - 800 + 60. Calculate the greatest common divisor of 111 and l.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 7*j - 23. Let w be f(-5). Let l(r) = -3*r - 6. Calculate the remainder when l(w) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10437172\/13 + 123534591457\/153868. Let g be (-134)\/(-538) + (-2)\/8. Let f = k - g. What is the common denominator of 1\/3 and f?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vzvzaavaaazavaaaaa. What is prob of sequence va?\nAnswer: 22\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/6 + 20\/15. What is the second smallest value in -4\/5, g, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/3 - 3*d**2.\nAnswer: d**2*(d - 3)*(d + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 w, and 2 y when four letters picked without replacement from lnoyysssyswn?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (135\/(-40))\/(-27)*-24?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 37934254, 75868505, 113802756, 151737007, 189671258?\n\"Answer: 37934251*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(448))*2)**2 - -3*(sqrt(49)\/(-2*sqrt(847)))**2.\nAnswer: 867349\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b - 7*b + 24*b.\nAnswer: 14*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3503*o - 1. Let c be x(3). Let y = 32132\/3 + c. Let t = 5458\/27 - y. Find the common denominator of t and -74\/9.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t + l - 79 = 0, -82758*l = t - 82763*l + 200 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10112*y - 10121*y + 45. Solve 104 - 119 = -y*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.9 - 0.9. Let o = x - 5. Which is the closest to o? (a) -5 (b) 0.3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 17250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.5274 - 0.8244. Let s = -0.703 + y. Which is the second biggest value? (a) s (b) -0.97 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5538887 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2176606, 2176672, 2176736, 2176798?\n\"Answer: -o**2 + 69*o + 2176538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 4*h, 5*y - 8*h = -4*h + 25 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3039, -11567, -25603, -45147, -70199, -100759?\n\"Answer: -2754*y**2 - 266*y - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**2 - 10*v + 32. Let a be q(-7). Suppose -2*d + 7*d + 5959988 = -a*i, 5960009 = -5*d + 3*i. Round d to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2112 or 6332\/3?\nAnswer: 6332\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 4*f + 427, -r + 0*r - f + 417 = 0. Let p = 4\/107 + 408\/535. Find the common denominator of p and (-4)\/(-14) - r\/21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 45\/8 of a tonne?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6074184 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.15, -0.043, -3, 4?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -49 - 43. Let o(w) = w**3 + 13*w**2 - 29*w + 8. Let h be o(2). Solve 25*l = x*l + h for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*h + 0*h - h)*(1 - 4 + 1) + 2*h + 0*h - 4*h)*(-348*h + 200*h - 58*h).\nAnswer: 1236*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -92.5 in 0.3, -1, -12, 2.06?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12.22 - 12. Let m = z - -0.18. Let b be (2\/24)\/(2\/4). What is the third smallest value in 1\/5, b, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) + 2)**2*3 - sqrt(72))*-1 + ((sqrt(72) + 0)*4 - ((1*sqrt(72))**2 + 2)).\nAnswer: -302 - 42*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1291 a factor of 67112635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -233 + 923*r - 923*r - 219 + 452 - r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 - 8 - (-40 - -53).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*u - 2*d + 30 = 186*u, 5*d - 9 = -u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.6, -0.3, 144169?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*k*m**4 + 34*k*m**2 - 360*m**6 - 12*m**2 wrt m.\nAnswer: 288*k*m - 43200*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (96\/112)\/(((-24)\/(-4))\/3).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4593*k**2 + 98 - 98 + 268*k**3 + 4598*k**2 as d + j*k + f*k**2 + a*k**3 and give a.\nAnswer: 268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -33*g + 17. Let f(q) = 4*q - 2. Give 51*f(t) + 6*z(t).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 62367430 to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2491685250 to the power of 1\/4, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 1290.\nAnswer: -1\/215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-23 - -2) + (-10 - -20) - 4\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12372024 + 523?\nAnswer: 12372547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**4\/9 - 74420*t**3\/9 - 230788798*t**2\/3 - 1381830704*t\/9 + 24227617120\/9 = 0. Calculate t.\nAnswer: -18604, -7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 10.4, 0.006, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 2:14 AM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, j: 2, c: 2, x: 1, z: 1, h: 1}. What is prob of sequence jz?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -10 * -78.35\nAnswer: 783.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/669 in -3, 1, 2\/11, -31?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -163 (base 7) in base 6?\nAnswer: -234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.522046 millilitres in litres?\nAnswer: 0.008522046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.5, 1, -2, -24, 716, -0.4 in descending order.\nAnswer: 716, 1, -0.4, -1.5, -2, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xrx when three letters picked without replacement from {r: 2, x: 16}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 4*r + 40 = 0. Calculate the highest common divisor of 10 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52.8571 less than 0.341?\nAnswer: 53.1981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/4 + 402425*s\/4 + 201213\/2.\nAnswer: -(s - 402426)*(s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3*k = 3*c + 21, 4*k = -5*c + 5. Let r(n) = n**2 + 4*n + 3. Let g be r(-3). Which is bigger: g or c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-9)*t*(t*t**6\/t)\/t)**33\/((t**(1\/4))**25\/(t\/(t*t\/t**(-2))*t**(1\/4))) assuming t is positive.\nAnswer: t**(-108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 709 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7393592 decades to months.\nAnswer: 88.723104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 2 = 8*d. Let y be d + 3 - (-11 - -1). Suppose -y*c + 809 = -60. List the prime factors of c.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109 divided by -1673217?\nAnswer: -109\/1673217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 10:41 AM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 6*k**2 - 5*k. Let h be g(4). Suppose 3*o = -2*a - 19, a + 13 = -o - 4*o. Let t = a + h. Solve -4*i + 12 = -2*n, n - 3*n + t = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1443.\nAnswer: 3, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 505935 = 35*m + 12*m - 1797958. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 2*o + 16 = 0, -578670*h = -578682*h + 2*o - 80 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 994593*d + d**2 - 994593*d.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -7212, 3\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1710567839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 58*g - 352. Let b be m(5). Let c be (-4)\/(8\/6)*-1. Sort -5, b, c in ascending order.\nAnswer: b, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 11) to base 9\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2333362 to the nearest 100000.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -61*v**2 + 14*v**2 - 25*v**2 - v**3 as c*v + o*v**3 + d + w*v**2 and give w.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 198809 + 66?\nAnswer: 198875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/5, -43, 0.5, 4, -1\/4?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 168 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -7*w + 3. Let b(d) = d + 1. Let x = 1626 - 1627. What is x*q(y) - 6*b(y)?\nAnswer: y - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 185541745369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 189.39549 - 205.3958. Let f = -16 - d. What is f rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7537, 2\/5, 19\/5, 0.5, -0.4?\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**16)\/m**(6\/13))**(-8\/9) assuming m is positive.\nAnswer: m**(-1720\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 0.4, 4, 0.13?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d*d*d\/(d*d*d**(-2\/25)))))\/d**(-7\/2))**(1\/7) assuming d is positive.\nAnswer: d**(229\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 637*s. Let k(g) be the third derivative of g**4\/24 + g**2 + 73*g. Give k(r(a)).\nAnswer: 637*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of 19*x**5\/60 + 3*x**2. Let v(f) = 2*f**2. Determine r(v(i)).\nAnswer: 76*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = j + 16. Let f = 7 + -2. Let z = f + 4. Solve 0 = -w - 2*h + z, 4*w = j*h - 4 - 8 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (169*y**2 - 58*y**2 + 42*y**2)*(-3 + 3 - 1)*(7*y - y - 3*y).\nAnswer: -459*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -5. Let c = -20 + 18. Let p = c - 0. Do t and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4*n = -163, 3*d - 139 = -7*n + 5*n. Let p be (-1476)\/(-28) + 2\/7. Let u = d - p. Which is the third smallest value? (a) 1 (b) u (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by 19538?\nAnswer: -6\/9769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -606 - -609. Let k(w) be the second derivative of -1\/75*w**6 - 1\/105*w**7 + 1\/10*w**5 + 1\/30*w**4 + 0 - 8\/15*w**b + 4\/5*w**2 - 7*w. Factor k(a).\nAnswer: -2*(a - 1)**3*(a + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 b when two letters picked without replacement from yadaddbaybmcybyay.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.2 + 6.2. Let f = -21697\/21 + 6698\/7. Let n = f - -76. Which is the third smallest value? (a) z (b) -1\/5 (c) n (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 93399.12 months?\nAnswer: 77.8326","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16877 - 15777. What is the smallest common multiple of 55 and m?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 u when two letters picked without replacement from {u: 1, h: 3, d: 1, g: 3, s: 1, j: 5}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*m = 13*f - 20*f + 210, -3*f + m = 14 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2936*s = -524*s + 1049*s - 256114 for s.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 92 - ((1 - 3) + 0). Let q = 167 + p. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -133326993 minus -55.554?\nAnswer: -133326937.446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15\/206 + 543\/1030. Let r be -1 + (-14)\/10*-1. What is the second biggest value in 2, 2\/19, x, r?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 9:24 AM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 3170751?\nAnswer: -3170754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 2*v**2 - 11*v - 7. Let i(x) = x**3 - 3*x + 13. Let n be i(-3). What is the units digit of p(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 1066*b + 645. Is h(14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*r = 50*r - 30*r + 1456 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/(-66) + 2\/11. Suppose b = 4*h - 230 - 974. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 1 + 4*l + 177*l**2 - 179*l**2 - 5*l**3 - 6*l + 4*l. Calculate a(2).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.42 + -0.58. Let h be 0\/(-2) + (-6)\/33. Let p = 2\/21 - 3\/7. Which is the closest to -1? (a) h (b) z (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 3. Let w be k(0). Let x(v) = -3*v + w*v + v**2. Let g(d) = -315*d - 321*d + 951*d - 316*d. Calculate x(g(r)).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12668536 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 15*i - 4840 = -248*i, 0 = -2*m + 3*i + 300. Let n = 22 - -83. Calculate the highest common factor of m and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/7782 and -57\/2.\nAnswer: 7782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-2)*(-4)\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*n - 20 + 20)*(0*n - 5*n + 3*n) + 0*n**2 - 2*n**2 + 3*n**2.\nAnswer: 17*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -2\/11, -0.7, 51?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 420558?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 5*j + 86, 3*i + j = 3*j - 53. Let r = i - -103. Is r a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -101.17 - -103. Let t = 7 + -6.81. Let z = s - t. What is z rounded to one dp?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 3559 + 3689 = 0. Suppose 0 = 3*u - 3*s - c, 3*u + 1550 = 8*u + 3*s. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -356*y**2 - 414 + 813 - 399 - y**3.\nAnswer: -y**3 - 356*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 314 (b) -17 (c) 5 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10560.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -15 (b) 2 (c) 5 (d) 32 (e) -218\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 50?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-89 + 94 - (8 + -11 + 11)) + -1 + 68\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 200 - -8?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1003112 (base 6) to base 7.\nAnswer: -255020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -28*k**4 + 9*k - 5. Let i(g) = 14*g**4 - 4*g + 3. Let v(n) = 4*h(n) + 9*i(n). What is the derivative of v(p) wrt p?\nAnswer: 56*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07, -0.2, -3\/5, -14.8 in ascending order.\nAnswer: -14.8, -3\/5, -0.2, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/6*381\/1270.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 134.0863524 seconds to weeks.\nAnswer: 0.000221703625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, a: 1, j: 3, i: 3, c: 1}. What is prob of sequence ic?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -670 - -694. Solve 11*c - h + 2 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -77*v - 1158. Let h be d(-15). Sort 2, 5, 7, 0, h in descending order.\nAnswer: 7, 5, 2, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/338368 and -37\/116314.\nAnswer: 3722048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, s: 2, m: 2, y: 1}. Give prob of sequence yc.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.13 and -549473.\nAnswer: -549472.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - o + 398 = 0, -5*i + 3*o - 8*o + 985 = 0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -11, -26, -41?\n\"Answer: -15*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 37, 79, -1 in descending order.\nAnswer: 79, 37, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50787.\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 50359263?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 455266579 to the power of 1\/2, to the nearest integer?\nAnswer: 21337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 872187421?\nAnswer: 7, 37, 1187, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -328, -660, -992, -1324, -1656?\nAnswer: -1988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 511 and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 y, and 1 d when three letters picked without replacement from ydyyddvldy.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}